Brianna is keeping track of how much money she saves.
She has $60 saved and saves another $15 each week.
How long will it take Brianna to save enough to buy a pair
of $180 sneakers? Show or explain your thinking.
Answers
15x + 60 = 180
We can subtract 60 from both sides to isolate the variable term:
15x + (60 - 60) = 180 - 60
15x = 120
120 / 15 gives us 8.
It will take Brianna 8 weeks to save enough to buy a pair of $180 sneakers.
Related Questions
Why are 1/4 and 3/8 represented with the negative numbers on a number line?
Answers
Somebody better answer thing
what is a congruent polygon
Answers
A congruent polygon refers to two or more polygons that have the same shape and size. There must be an equal number of sides between two polygons for them to be congruent.
Congruent polygons have parallel sides of equal length and parallel angles of similar magnitude. When two polygons are congruent, they can be superimposed on one another using translations, rotations, and reflections without affecting their appearance or dimensions. Concluding about the matching sides, shapes, angles, and other geometric properties of congruent polygons allows us to draw conclusions about them.
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Type the correct answer in the box. Use numerals instead of words.
For this item, if the answer is not a whole number, enter it as a fraction in simplest form using / as the fraction bar.
Isolde is stacking books. The stack of books forms a rectangular prism.
Each book is the same size. Isolde knows the area of the base of one book is 22 1/2 square inches and each book is 3/4 inch thick.
The volume of a stack of 9 books is cubic inches.
Answers
The volume of a stack of 9 books is 1368.75 cubic inches.
Volume of a book stackTo find the volume of a stack of 9 books, we first need to find the height of the stack. Since each book is 3/4 inch thick, the height of the stack is 9 times 3/4 inch, which is 6 3/4 inches.
Now we need to find the area of the base of the rectangular prism formed by the stack of books. Since each book has an area of 22 1/2 square inches, the total area of the base of the stack is 9 times 22 1/2 square inches, which is 202 1/2 square inches.
Therefore, the volume of the stack of 9 books is:
Volume = Area of base x heightVolume = (202 1/2 square inches) x (6 3/4 inches)Volume = 1368.75 cubic inchesMore on volume of stacked books can be found here: https://brainly.com/question/1058070
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if you flip a coin two times, what is the probability that one toss will come up heads and the other will come up tails?
Answers
The probability that one toss will come up heads and the other will come up tails when you flip a coin two times is 50%.
Imagine you've got a coin, and you flip it two times. Once you flip a coin, it can either arrive on heads (the side with a confront) or tails (the side with the hawk, in the event that it's a US quarter).
On the off chance that you flip the coin two times, there are four distinctive conceivable ways the coin can arrive:
heads-heads (HH),
heads-tails (HT),
tails-heads (TH),
and tails-tails (TT).
Presently, out of these four conceivable results, the HT and TH results have one hurl(toss) that comes up heads and the other hurl that comes up tails. So, we're curious about the likelihood of getting either HT or TH.
Since there are four conceivable results and two of them are HT and TH, the likelihood of getting one hurl that comes up heads and the other that comes up tails is 2 out of 4, or 50%.
So, in the event that you flip a coin two times, there's a 50-50 chance that you'll get one hurl that comes up heads and the other that comes up tails
Hence, the likelihood that one hurl will come up heads and the other will come up tails after you flip a coin two times is 2 out of 4, or 50%.
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5. Find the perimeter and area
*Triangle- based prism*
Answers
Step-by-step explanation:
for the perimeter you have to say two brackets live plus height plus with plastic
What is the perimeter, in units, of ΔABC
Δ
A
B
C
with A(−1,−6)
A
(
−
1
,
−
6
)
, B(7,−6)
B
(
7
,
−
6
)
, and C(3,−3)
C
(
3
,
−
3
)
?
Answers
Answer:
To find the perimeter of triangle ABC, we need to find the lengths of all three sides of the triangle. To do this, we can use the distance formula, which states that the distance between two points (x1, y1) and (x2, y2) is given by the square root of ((x2 - x1)^2 + (y2 - y1)^2).
Applying this formula, we can find the lengths of the sides of the triangle as follows:
AB = sqrt((7 - (-1))^2 + (-6 - (-6))^2) = sqrt(8^2 + 0^2) = sqrt(64) = 8
BC = sqrt((3 - 7)^2 + (-3 - (-6))^2) = sqrt(-4^2 + 3^2) = sqrt(16 + 9) = sqrt(25) = 5
AC = sqrt((-1 - 3)^2 + (-6 - (-3))^2) = sqrt(-4^2 + 3^2) = sqrt(16 + 9) = sqrt(25) = 5
Thus, the perimeter of triangle ABC is 8 + 5 + 5 = 18 units.
Where is the blue dot on the number line?
Answers
Answer:
4.9
Step-by-step explanation:
each line increases an incriment
PLEASE HELP MEEEEE. EXPLAINNNN
IMAGE INCLUDED
Answers
Answer:
i thing that's the answer
Find the amount after 13 years if $7,021 is invested and compounded quarterly at a rate of 3.5%.
Answers
The amount that will be received after 13 years investment would be = $10,215.56
What is simple interest?Simple interest is defined as the amount of money that an individual receives due to an investment made over a period of time in an account.
The principal amount deposited (P) = $7,021
The time for the investment= 13 years.
The rate of interest (R) = 3.5%
Simple interest = P×T×R/100
= 7021×13×3.5 /100
= 319455.5/100
= $3,194.56
Therefore, the total amount that will be received after 13 years investment would be = $7,021 + $3,194.56= $10,215.56.
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(Will be named Brainliest!) Melissa is selling cookies for $1.50 each.
1. Write an equation that represents how much money Melissa earns, m, for selling a number of cookies.
2. Complete the table that represents this situation.
Answers
1. The equation that represents the relationship is given as follows: m = 1.5c.
2. The table is complete as follows:
m = 15 when c = 6.m = 20 when c = 8.What is a proportional relationship?A proportional relationship is a type of relationship between two quantities in which they maintain a constant ratio to each other.
The equation that defines the proportional relationship is given as follows:
y = kx.
In which k is the constant of proportionality, representing the increase in the output variable y when the constant variable x is increased by one.
Melissa is selling cookies for $1.50 each, hence the equation is given as follows:
c = 1.5m.
The numeric values to complete the table are given as follows:
c = 6, m = 1.5 x 6 = 9.c = 8, m = 1.5 x 8 = 20.More can be learned about proportional relationships at https://brainly.com/question/7723640
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a restaurant offers a choice of 4 appetizers, 14 entrees, 6 desserts, and 5 beverages. in how many ways can a diner design her meal, assuming that she selects exactly one option from each of the four categories?
Answers
The number of ways a diner can design her meal by selecting exactly one option from each of the four categories is 2160. There are 2160 different combinations of options that the diner can select to make up her meal.
When a diner is selecting her meal from a restaurant, she needs to choose one option from each of the four categories: appetizers, entrees, desserts, and beverages. The number of options she has in each category determines the number of ways she can design her meal.
In this case, the number of options the diner has in each category are:
Appetizers: 4 options
Entrees: 14 options
Desserts: 6 options
Beverages: 5 options
The number of ways the diner can design her meal is equal to the product of the number of options she has in each category. This is because each category is independent of the other categories, and the order in which she selects the options does not matter.
Therefore, the number of ways the diner can design her meal is 4 * 14 * 6 * 5 = 4 * 14 * 30 = 2160. This means that there are 2160 different combinations of options that the diner can select to make up her meal.
In conclusion, the number of ways a diner can design her meal by selecting exactly one option from each of the four categories is 2160.
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Hi, can you help me to solve this exercise, please!
Answers
Trigonometric Identities.
To solve this problem, we need to keep in mind the following:
* The tangent function is negative in the quadrant II
* The cosine (and therefore the secant) function is negative in the quadrant II
* The tangent and the secant of any angle are related by the equation:
\(\sec ^2\theta=\tan ^2\theta+1\)We are given:
\(\text{tan}\theta=-\frac{\sqrt[]{14}}{4}\)And θ lies in the quadrant Ii.
Substituting in the identity:
\(\begin{gathered} \sec ^2\theta=(-\frac{\sqrt[]{14}}{4})^2+1 \\ \text{Operating:} \\ \sec ^2\theta=\frac{14}{16}+1 \\ \sec ^2\theta=\frac{14+16}{16} \\ \sec ^2\theta=\frac{30}{16} \end{gathered}\)Taking the square root and writing the negative sign for the secant:
\(\begin{gathered} \sec ^{}\theta=\sqrt{\frac{30}{16}} \\ \sec ^{}\theta=-\frac{\sqrt[]{30}}{4} \end{gathered}\)find y' if y = ln(5x^2 + 9y^2)
Answers
The derivative of y with respect to x is:
\(y' = [(5x) / (5x^2 + 9y^2)] + [(9y) / (5x^2 + 9y^2)] * dy/dx\)
or
\(dy/dx = [(5x) / (5x^2 + 9y^2)] + [(9y) / (5x^2 + 9y^2)] * y'\)
To find y', we need to use the chain rule of differentiation because we have a composite function (i.e., the natural logarithm function is applied to a function of x and y).
Let's start by applying the chain rule:
\(y' = d/dx [ln(5x^2 + 9y^2)]y' = (1 / (5x^2 + 9y^2)) * d/dx [5x^2 + 9y^2]\)
Now, we need to apply the chain rule to find the derivative of\(5x^2 + 9y^2\)with respect to x:
\(d/dx [5x^2 + 9y^2] = d/dx [5x^2] + d/dx [9y^2]\)
\(d/dx [5x^2] = 10x\)
\(d/dx [9y^2] = 18y * dy/dx\)
(Note that we used the chain rule again to find \(dy/dx.)\)
Substituting these derivatives into the expression for y', we get:
\(y' = (1 / (5x^2 + 9y^2)) * (10x + 18y * dy/dx)\)
Finally, we can simplify this expression by solving for dy/dx:
\(y' = (10x + 18y * dy/dx) / (5x^2 + 9y^2)\)
Multiplying both sides by (5x^2 + 9y^2), we get:
\(y' * (5x^2 + 9y^2) = 10x + 18y * dy/dx\)
Solving for dy/dx, we obtain:
\(dy/dx = (y' * (5x^2 + 9y^2) - 10x) / 18y\)
Therefore, the derivative of y with respect to x is:
\(y' = [(5x) / (5x^2 + 9y^2)] + [(9y) / (5x^2 + 9y^2)] * dy/dx\)
or
\(dy/dx = [(5x) / (5x^2 + 9y^2)] + [(9y) / (5x^2 + 9y^2)] * y'\)
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Find LM in parallelogram LMNQ.
L
M
8. 2
100°
P
18
7
29°
Q
13
N
LM= |
Answers
The value of LM in parallelogram LMNQ in this question is 13.
A parallelogram is a four-sided shape that is a part of the quadrilateral spectrum. As the name suggests, two pairs of the sides of a parallelogram are parallel to each other. In simpler words, the opposite sides of a parallelogram are equal and parallel.
As shown in the image attached, in parallelogram LMNQ, the sides LM and NQ are parallel. This means that these sides are equal as well. We have been told that the value of NQ is 13. This means that the value of LM is 13 as well.
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a student has scores of 8480 and 80 on 3 music theory exams what score is needed on a fourth exam for the student to earn an average grade of 90
Answers
To earn an average grade of 90 student need to score of 116 on a fourth exam.
To find the score needed on the fourth exam for the student to earn an average grade of 90,
we can set up an equation.
Let us denote the score on the fourth exam as x.
The average grade is calculated by summing all the scores and dividing by the number of exams.
Here we have 3 exams with scores of 84, 80, and 80, and we want the average grade to be 90.
(84 + 80 + 80 + x) / 4 = 90
Simplifying the equation,
⇒(244 + x) / 4 = 90
Now, we can solve for x.
⇒244 + x = 90 × 4
⇒ 244 + x = 360
⇒ x = 360 - 244
⇒x = 116
Therefore, the student would need a score of 116 on the fourth exam to earn an average grade of 90.
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➤ Solve the inequalities.
T -3 is less than or equal to 2
Answers
-3 is less than 2
< is the symbol
help me piz piz piz
.......................
Answers
Answer:
see explanation
Step-by-step explanation:
Dividing 10.5 by 5 gives the number of trees required for 1 cabin.
10.5 ÷ 5 = 2.1 ← trees , thus
3 cabins = 3 × 2.1 = 6.3
7 cabins = 7 × 2.1 = 14.7
Thus
number of trees number of cabins
--------------------------------------------------------
10.5 5
6.3 3
14.7 7
Answer:
7 cabins = 14.7 trees & 3 cabins = 6.3 trees
Step-by-step explanation:
Divide 10.5 by 5 to get how many trees it takes to make ONE cabin.
10.5/5=2.1
ONE cabin needs 2.1 trees to be existent. This can help you figure out how many trees it takes to make any number of cabins.
The ratio for one cabin = 2.1:1
Multiply this by 3 to get how many trees you need for 3 cabins.
2.1*2=6.3 trees needed to make 3 cabins
Do the same for 7 cabins.
2.1*7=14.7 trees needed to build 7 cabins.
Jasmin's dog weighs 58 pounds. Her vet told her that a healthy weight for her dog would be less than or equal to 40 pounds. Jasmin's dog can lose an average of 1.5 pounds every week. Write the solution to an inequality that describes all possible number of weeks [Math Processing Error] x for which her dog can be at a healthy weight.
Answers
You always have to mutiply the week number by 1.5 to see how many pounds the dog has lost. For example, week 1 = 1*1.5 = 1.5 pounds lost in the first week. You can also divide the pound by 1.5 to get the week number which is what I will be doing. 58 - 40 = 18 pounds minimum to be healthy. 18/1.5 = 12. That means if Jasmin's dog is dieting properly for 12 weeks, she will be healty.
If she diets more, she will still be healty because you need 40 or less pounds to be healty.
This sentance is extra but why are 0 pounds healthy?
A 5-pack of tickets to the zoo costs $52. 10. What is the unit price?
Answers
The unit price of the 10-pack is 9.00.
The unit price is the price of one item divided by the number of items. To calculate the unit price of a 5-pack of tickets to the zoo, the price of the 5-pack must be divided by the number of tickets in the 5-pack. This can be expressed mathematically as:
Unit Price = Price of 5-pack ÷ Number of tickets in 5-pack
Unit Price = 52 ÷ 5
Unit Price = 10.40
Therefore, the unit price of a 5-pack of tickets to the zoo is 0.40. This means that for every ticket purchased in the 5-pack, the cost is 10.40. This calculation can be used to calculate the unit price of any number of items in a set. For example, if the cost of 10 tickets is $90, then the unit price of the 10-pack is 9.00.
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The value of k is represented by the equation
Answers
Which of the following are continuous random variables? Select all that apply.
1 The number of textbooks that each student has to buy for college
2 The amount of annual rainfall in Portland last year
3 The amount of vanilla in a batch of chocolate chip cookies
4 The weight of each football player on the Redskins team
5 The number of dog sleds that a competitor uses in an annual sled dog race
Answers
The amount of annual rainfall in Portland last year. Therefore, options 2 and 4 are the correct answers.
A continuous random variable is a random variable whose values can take any value within a specified interval. The values of a continuous random variable can take any value on the real line.
In the above examples, the amount of annual rainfall in Portland last year and the weight of each football player on the Redskins team are both continuous random variables, as they can take any value within a specified interval.
The other examples given (the number of textbooks that each student has to buy for college, the amount of vanilla in a batch of chocolate chip cookies, and the number of dog sleds that a competitor uses in an annual sled dog race) are not continuous random variables, as they cannot take any value within a specified interval.
Therefore, options 2 and 4 are the correct answers.
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If f(x)=ln(x+4+e^(-3x)), then f '(0) =
Answers
If derivative of \(f(x)=ln(x+4+e^{(-3x)})\), then f '(0) = -2/5.
What is derivative?
In calculus, the derivative of a function is a measure of how the function changes as its input changes. More specifically, the derivative of a function at a certain point is the instantaneous rate of change of the function at that point.
To find f'(0), we first need to find the derivative of f(x) with respect to x. Using the chain rule, we get:
\(f'(x) = 1 / (x+4+e^{(-3x)}) * (1 - 3e^{(-3x)})\)
Now we can find f'(0) by substituting the value x=0:
\(f'(0) = 1 / (0+4+e^{(-3(0))}) * (1 - 3e^{(-3(0))})\)
f'(0) = 1 / (4+1) * (1 - 3)
f'(0) = -2/5
Therefore, f'(0) = -2/5.
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Select the law to apply to have the following equivalence: (¬p∨r)∧(¬q∨r)≡(¬p∧¬q)∨r o Associative law o Idempotent laws o De Morgan law o Distributive law
Answers
The distributive law is the law to apply to have the following equivalence:
(¬p∨r)∧(¬q∨r)≡(¬p∧¬q)∨r.
Hence, the correct option is (D) Distributive law.
What is Distributive Law?
The distributive property is the most commonly used property of the number system.
Distributive law is the one which explains how two operations work when performed together on a set of numbers. This law tells us how to multiply an addition of two or more numbers.
Here the two operations are addition and multiplication. The distributive law can be applied to any two operations as long as one is distributive over the other.
This means that the distributive law holds for the arithmetic operations of addition and multiplication over any set.
For example, the distributive law of multiplication over addition is expressed as a(b+c)=ab+ac,
where a, b, and c are numbers.
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A nail salon raises their price for nails from $25 to $30. What is the percent increase?
Answers
17%
step-by-step explanation:
5 out of 30 is 17%
5/30 = 5 ÷ 30 = .16... which rounds to .17 and is equal to 17%.
Answer:
17%
Step-by-step explanation:
5 out of 30 is 17%
5/30 = 5 ÷ 30 = .16. rounds to .17 =17%
Find the product of 2√6 and √24 in simplest form. Also, determine whether the
result is rational or irrational and explain your answer.
Result:
√
The result is
because it
integers and its decimal expansion
be written as the ratio of two
terminate or repeat.
Answers
The result is 24 is a rational number.
The product of 2√6 and √24, we can simplify the square root expressions first.
First, let's simplify √6:
√6 can be further simplified as follows:
√6 = √(2 × 3)
= √2√3
Now, let's simplify √24:
√24 can be further simplified as follows:
√24 = √(4 × 6)
= √4√6
= 2√6
Now, we can find the product of 2√6 and √24:
2√6 × √24 = (2√6) × (2√6)
= 4√6 × √6
= 4(√6)²
= 4 × 6
= 24
The product of 2√6 and √24 is 24.
Let's determine whether the result is rational or irrational.
A rational number can be expressed as the ratio of two integers, whereas an irrational number cannot be expressed as such.
It can be expressed as the ratio 24/1, where both 24 and 1 are integers.
The result is rational.
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You are given \( f=10 \) meissurements: \( 3,5,4,6,10,5,6,9,2,13 \). (D) Calculate \( x_{2} \) \( \frac{2}{x}= \) (b) Firud m. \( m= \) (c) Find the mode. (If these is more than one mode, enter your answer
Answers
Two values have frequency 2, so both are modes. They are 5 and 6. Therefore, the mode is 5 and 6.
Given measure: 3, 5, 4, 6, 10, 5, 6, 9, 2, 13.(D) To calculate \(x_2\), first we need to sort the data in ascending order: 2, 3, 4, 5, 5, 6, 6, 9, 10, 13
Now, we need to find the median, which is the middle value of the data. Since the data has even number of values, we will calculate the mean of middle two values, that is:(5+6)/2 = 5.5 Therefore, \(x_2 = 5.5\).\( \frac{2}{x}= \) To find the value of x, we will first cross-multiply and then take the reciprocal of both sides:\[\frac{2}{x} = y \Rightarrow 2 = xy \Rightarrow x = \frac{2}{y}\] Therefore, \( \frac{2}{x}= \frac{2}{y}\).
(b) To calculate Fried m, we will use the formula: \[f_m = L + \frac{(n/2 - F)}{f} \times c\]where L is the lower limit of the modal class, F is the cumulative frequency of the class preceding the modal class, f is the frequency of the modal class, c is the class interval, and n is the total number of values.
First, we will calculate the class interval:c = (upper limit of class - lower limit of class) = (7-6) = 1 Next, we will construct a frequency table to find the modal class:| Class Interval | Frequency ||-------------------|------------|| 2-3 | 1 || 3-4 | 1 || 4-5 | 1 || 5-6 | 2 || 6-7 | 2 || 7-8 | 1 || 9-10 | 1 || 10-11 | 1 || 13-14 | 1 |The modal class is the class with highest frequency.
Here, two classes have frequency 2, so both are modes. They are 5-6 and 6-7.
Therefore, L = 5, F = 2, f = 2, n = 10, and c = 1. Substituting the values, we get:\[f_m = L + \frac{(n/2 - F)}{f} \times c = 5 + \frac{(10/2 - 2)}{2} \times 1 = 7\] Therefore, Fried m = 7.
(c) To find the mode, we look for the value(s) with highest frequency. Here, two values have frequency 2, so both are modes. They are 5 and 6. Therefore, the mode is 5 and 6.
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A researcher is interested in comparing two teaching methods for slow learners. In particular, the researcher wants to determine if a new method of teaching is better (gives higher scores) than the standard method currently used. Type I error rate is set at alpha=0.05. Ten slow learners are taught by the new method and 12 by the standard method. The results of a test at the end of the semester are given below (assume that the normal distribution with equal variances assumptions are satisfied)
Test scores (new method): 80, 76, 70, 80, 66,85, 79,71,81,76. Test scores (standard method): 79,73,72,62, 76, 68, 70, 86,75, 68, 73,66. What is the appropriate research hypothesis? (assume mu_1 = true mean of all scores under new method, and mu_2=true mean of all scores under standard method) - sample mean scores of the new method is higher than that of the standard method - mu_1 - mu_2 is "not equal to zero - mu_1 - mu 2 > 0 - mu_1-mu 2 < 0
Answers
The appropriate research hypothesis in this case is: "The sample mean scores of the new teaching method are higher than those of the standard teaching method."
To clarify, let's define the hypotheses more explicitly:
- Null Hypothesis (H0): The true mean of the scores under the new teaching method (mu_1) is equal to or less than the true mean of the scores under the standard teaching method (mu_2). H0: mu_1 <= mu_2
- Alternative Hypothesis (H1): The true mean of the scores under the new teaching method (mu₁ is greater than the true mean of the scores under the standard teaching method (mu₂). H1: mu_1 > mu_2
In other words, the researcher wants to determine if the new teaching method leads to higher scores compared to the standard method.
The alternative hypothesis suggests that there is a difference in favor of the new method, specifically that the true mean of the scores under the new method is greater than the true mean of the scores under the standard method.
The type I error rate, alpha, is set at 0.05, which means that if the p-value (the probability of observing the data given that the null hypothesis is true) is less than or equal to 0.05, we will reject the null hypothesis in favor of the alternative hypothesis.
It's worth noting that this is a one-sided test because we are only interested in determining if the new method is better (i.e., leads to higher scores) than the standard method.
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a random sample of 50 personal property insurance policies showed the following number of claims over the past 2 years. number of claims 0 1 2 3 4 5 6 number of policies 21 13 5 4 2 3 2 a. find the mean number of claims per policy. b. find the sample variance and standard deviation.
Answers
The mean number of claims per policy is 1.4 and the sample variance and standard deviation are 0.956 and 0.977 respectively is the answer.
a) To find the mean number of claims per policy, we need to calculate the weighted average of the number of claims.
Number of claims: 0, 1, 2, 3, 4, 5, 6
Number of policies: 21, 13, 5, 4, 2, 3, 2
First, we calculate the product of the number of claims and the corresponding number of policies for each category:
0 claims: 0 * 21 = 0
1 claim: 1 * 13 = 13
2 claims: 2 * 5 = 10
3 claims: 3 * 4 = 12
4 claims: 4 * 2 = 8
5 claims: 5 * 3 = 15
6 claims: 6 * 2 = 12
Next, we sum up these products: 0 + 13 + 10 + 12 + 8 + 15 + 12 = 70
Finally, we divide the sum by the total number of policies (50) to find the mean:
Mean number of claims per policy = 70 / 50 = 1.4
Therefore, the mean number of claims per policy is 1.4.
b. To find the sample variance and standard deviation, we need to calculate the deviations from the mean for each category, square the deviations, and then calculate the average.
Deviation from the mean:
0 - 1.4 = -1.4
1 - 1.4 = -0.4
2 - 1.4 = 0.6
3 - 1.4 = 1.6
4 - 1.4 = 2.6
5 - 1.4 = 3.6
6 - 1.4 = 4.6
Square the deviations:
(-1.4)^2 = 1.96
(-0.4)^2 = 0.16
(0.6)^2 = 0.36
(1.6)^2 = 2.56
(2.6)^2 = 6.76
(3.6)^2 = 12.96
(4.6)^2 = 21.16
Now, we sum up these squared deviations:
1.96 + 0.16 + 0.36 + 2.56 + 6.76 + 12.96 + 21.16 = 46.92
To find the sample variance, divide the sum of squared deviations by the number of data points minus 1 (n-1):
Sample variance = 46.92 / (50 - 1) = 46.92 / 49 ≈ 0.956
To find the sample standard deviation, take the square root of the sample variance:
Sample standard deviation = √(0.956) ≈ 0.977
Therefore, the sample variance is approximately 0.956 and the sample standard deviation is approximately 0.977.
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A firm offers routine physical examinations as part of a health service program for its employees. The exams showed that 16% of the employees needed corrective shoes, 23% needed major dental work, and 3% needed both corrective shoes and major dental work. What is the probability that an employee selected at random will need either corrective shoes or major dental work
Answers
Probability of people needing corrective shoes or dental work is 0.36.
What is probability?The proportion of favorable cases to all possible cases used to determine how likely an event is to occur.
What are mutually exclusive events?A statistical term used to describe events that cannot occur concurrently is "mutually exclusive".
Here, the two events getting corrective shoes and getting dental work are not mutually exclusive events.
P(corrective shoes or dental work) = P(corrective shoes) + P(dental work) - P(corrective shoes and dental work)
P(corrective shoes or dental work) = 0.16 + 0.23 - 0.03
P(corrective shoes or dental work) = 0.36
Hence, the probability of people needing corrective shoes or dental work is 0.36.
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Can someone please help me?
Answers
Answer:
3.33×10^5 timesStep-by-step explanation:
Given
Mass of the Sun = 1.99×10^30Mass of the Earth = 5.97×10^24The mass of the Sun is greater than the mass of the Earth times:
1.99×10^30 / 5.97×10^24 =19.9×10^29 / 5.97×10^24 =19.9/5.97×10^(29 - 24) = 3.33×10^5