Answer:
I would say the answer is B
Step-by-step explanation:
You can plug in numbers for x, and solve the equation each time. As x (the number of months) increases, the total investment decreases, but not at such a dramatic effect that 97% is.
In a bag there are pieces of card in the shape of stars and rectangles,in the ratio 4:5. The card is red or blue. The ratio of red to blue stars is 6:5
What is the probability of randomly picking out one red star
The probability of randomly picking out one red star is 6/11 or 54.55%.
The given problem is related to probability and ratio. Therefore, we will use these concepts to solve the problem. The given ratio of the pieces of card in the shape of stars and rectangles is 4:5. It means if we consider the ratio as 4x:5x, where 4x is the number of star-shaped cards, and 5x is the number of rectangle-shaped cards.
Therefore, the total number of cards is 9x. In the given problem, the card is either red or blue, and the ratio of red to blue stars is 6:5. Therefore, we can consider the number of red stars as 6y, and the number of blue stars as 5y. Therefore, the total number of star-shaped cards is 11y. Now, we can use the concept of probability to find the probability of randomly picking out one red star. Probability is the number of favorable outcomes divided by the total number of possible outcomes. Here, the number of favorable outcomes is 6y because there are 6 red stars, and the total number of possible outcomes is 11y because there are 11 stars in total.
Therefore, the probability of randomly picking out one red star is 6y/11y or 6/11. Hence, the required probability of randomly picking out one red star is 6/11. We can write this in percentage form as 54.55%.Answer: The probability of randomly picking out one red star is 6/11 or 54.55%.
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Employees at a website want to select a sample of their users to ask for a donation. They randomly select one of
the first 25 user each day and show them a message asking for a donation. They also show the message to every
25th user from that point on.
What type of sample is this?
The answer is systematic random sample
The type of sampling used to select a sample of users to ask for donation is a systematic sampling.
• The systematic sampling could be explained as a form of random sampling which is used to make selection from a larger population by making selection based on a fixed periodic interval.
• In the scenario described above, the employees select every 25th user in their sample, which denotes the sampling interval.
• By picking every 25th user, it shows that the selection is periodic and fixed.
Hence, we can conclude that the employees made use of systematic sampling in their sample selection.
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Please help with this.
Solution:
A shape is only called symmetrical when:
A mirror line can be drawn on it.A shape is called non-symmetrical when:
A mirror line can't be drawn on it.This shape has no lines of symmetry because a mirror line cannot be drawn on this shape.
A shape is called symmetrical when it is same on both sides, In other words we can say that when a shape has the same mirror image.
And it is not symmetrical when the mirror image changes.
The shape we are given is not symmetrical because when we see its mirror image, The mirrored image is different...~D Question 13 3 pts [True or False] For a standardized normal distribution, Z, the probability that Z is greater than 1.50 is less than the probability that Z is greater than 2.50. True O False < Prev
For a standardized normal distribution, Z, the probability that Z is greater than 1.50 is less than the probability that Z is greater than 2.50. False, is the correct statement regarding the given statement.
In statistics, the standardized normal distribution is a normal distribution with a mean of zero and a standard deviation of one. It is also known as the standard normal distribution. The distribution is entirely defined by its mean and standard deviation. For example, any normal distribution can be standardized by subtracting its mean and dividing by its standard deviation.This distribution is a continuous probability distribution.
A continuous probability distribution is a probability distribution that assigns probabilities to an infinite number of possible outcomes that are not countable. These probabilities are expressed as the area under the curve in a continuous probability distribution. The total area under the curve of a continuous probability distribution is always equal to one.
The statement given "For a standardized normal distribution, Z, the probability that Z is greater than 1.50 is less than the probability that Z is greater than 2.50" is false.
This is because the normal distribution curve is a symmetrical curve and the probability of being greater than a value of 1.50 or 2.50 is the same.
Therefore, the probability of Z being greater than 1.50 is the same as the probability of Z being greater than 2.50. The answer is False.
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(4x5) x3 = 4x (5x3) What property does this show?
Answer:
distributive
Step-by-step explanation:
Answer:
Step-by-step explanation:
4x5x7x8x2÷8=?
12a + 26b -4b – 16a.
Answer:
Step-by-step explanation:
Solving like terms
-4a + 22b
Which function below is the inverse of f(x) = X2 - 25?
Answer: \(f^{-1}(x)= \sqrt{x+25}\) and \(f^{-1}(x)= - \sqrt{x+25}\)
Step-by-step explanation:
To find the inverse, we will set f(x) equal to y, swap the x and y values, and then solve for y.
Given:
f(x) = x² - 25
Equal to y:
y = x² - 25
Swamp x and y values:
x = y² - 25
Add 25 to both sides of the equation:
y² = x + 25
Square root both sides of the equation:
\(y= \sqrt{x+25}\) and \(y= -\sqrt{x+25}\)
Interval notation:
\(f^{-1}(x)= \sqrt{x+25},\text{and}\;f^{-1}(x)= -\sqrt{x+25}\)
⇒Note for inverses we swap the positions between x and y.
⇒\(x=y^{2} -25\\\)
But in this case we know that we write the equation such that the variable for the input is the subject of the equation
\(y^{2}= x+25\\y=\sqrt{x+25}\)
Note y in this case was representing f(x)
⇒therefore our final equation now is
\(f(x)=\sqrt{x+25}\)
GOODLUCK!!!
Two semicircles are drawn inside of a circle with radius 8 inches as shown below. Find the area of the shaded region. Round your answer to the nearest tenth (0.1).
Answer:
Step-by-step explanation:
two semicircles each of diameter 8 inches makes one circle with diameter=8 in.
radius r=8/2=4 in.
area of shaded region= πr^2=π×4²=16 π in²
≈16×3.14
≈50.24
≈50.2 in²
A bag contains marbles of four different colors:
4 blue marbles
12 red marbles
8 green marbles
2 yellow marbles
(6) What is the probability of picking a blue marble at random out of the bag?
The probability of picking a blue marble at random out of the bag is 2/13.
What is probability?The probability of an incident occurring is defined by probability. There are many instances in real life where we may need to make predictions about how something will turn out. The outcome of an occurrence may be known to us or unknown to us. When this happens, we state that there is a chance that the event will happen or not. In general, probability has many great uses in games, in business to make predictions based on probability, and in this new branch of artificial intelligence.
The probability of picking a blue marble at random out of the bag can be calculated by dividing the number of blue marbles by the total number of marbles in the bag:
P(picking a blue marble) = number of blue marbles / total number of marbles
P(picking a blue marble) = 4 / (4 + 12 + 8 + 2)
P(picking a blue marble) = 4 / 26
P(picking a blue marble) = 2 / 13
Therefore, the probability of picking a blue marble at random out of the bag is 2/13.
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Given: δabc with prove: statement reason 1. given 2. addition property of equality 3. using common denominators 4. ab = ad db cb = ce eb segment addition 5. substitution property of equality 6. reflexive property of congruence 7. δabc ~ δdbe sas similarity criterion 8. ∠bac ≅ ∠bde corresponding angles of similar triangles are congruent. 9. if the corresponding angles formed by two lines cut by a transversal are congruent, then the lines are parallel. 5 what is the missing step in this proof? a. ∠abc ≅ ∠dbe b. ∠bca ≅ ∠bde c. ∠acb ≅ ∠deb d. ∠bde ≅ ∠ade e. ∠cab ≅ ∠dac
The missing step in this proof is option b, ∠bca ≅ ∠bde.
This can be proven by using the Transitive Property of Congruence, which states that if two shapes are congruent to each other, and a third shape is congruent to one of those two shapes, then it is also congruent to the other.
In other words, if triangle ABC is congruent to triangle DEF, and triangle DEF is congruent to triangle GHI, then triangle ABC is also congruent to triangle GHI. Since we know that ∠bac ≅ ∠bde, and ∠bca ≅ ∠bac (by the Reflexive Property of Congruence), we can conclude that ∠bca ≅ ∠bde.
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a surface generated by a closed plane curve rotated about a line that lies in the same plane as the curve but does not intersect it t/f
The statement that "a surface generated by a closed plane curve rotated about a line that lies in the same plane as the curve but does not intersect" is true.
The surface generated by a closed plane curve rotated about a line that lies in the same plane as the curve but does not intersect it is called a torus. The torus is a three-dimensional surface that can be thought of as a doughnut shape. The curve that generates the torus is called the generator, and the line about which the curve is rotated is called the axis of rotation. The torus has the interesting property that it has a hole in the center, and the distance from any point on the surface to the center of the torus is constant.
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help plz plz plz plz
Answer:
2.8 In is the answer to the question
Step-by-step explanation:
Nw+WD=ND
What is the probability that the manufacturing unit has carbon emission beyond the permissible emission level and the test predicts this?
The probability that the manufacturing unit has carbon emissions beyond the permissible emission level is 0.2975
Given that the probability that carbon emissions from the company’s factory exceed the permissible level is 35% and the accuracy of the test is 85%.
The possibility of an event or outcome happening contingent on the occurrence of a prior event or outcome is known as conditional probability. The probability of the prior event is multiplied by the current likelihood of the subsequent, or conditional, occurrence to determine the conditional probability.
Event A: The given Carbon emission beyond to the given permissible emission level.
Event B: Test predicts this.
To get the probability of this problem, first we need to divide by 100 the given values.
A=35/100
A=0.35
The probability of event A is P(A)=0.35
And the probability is P(B|A)=85/100=0.85
Now, we will use the conditional probability formula, we get
P(B|A)=P(A∩B)/P(A)
0.85=P(A∩B)/0.35
P(A∩B)=0.85×0.35
P(A∩B)=0.2975
Hence, the probability that the manufacturing unit has carbon emissions beyond the permissible emission level and the test predicts is0.2975.
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assessment started: unit 8 progress check: mcq part a. item 1 let f be the function given by f(x)=3xsinx. what is the average value of f on the closed interval 1≤x≤7 ?
To find the exact value, we would need to evaluate the definite integral, but it may not be practical to do so without further information or using numerical methods.
To find the average value of a function on a closed interval, you need to calculate the definite integral of the function over that interval and divide it by the length of the interval. In this case, we want to find the average value of the function f(x) = 3xsin(x) on the interval 1 ≤ x ≤ 7.
The average value of f on the interval [1, 7] is given by the formula:
Average value = (1/(b - a)) * ∫[a to b] f(x) dx
where a and b are the endpoints of the interval.
In our case, a = 1, b = 7, and f(x) = 3xsin(x). So, we can calculate the average value as follows:
Average value = (1/(7 - 1)) * ∫[1 to 7] (3xsin(x)) dx
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The point of tangency of line S to circle A is M.
True
False
Answer:
False!
Step-by-step explanation:
Just got this question on OW
Noah says that to find 20% of a number he divides the number by 5. For example, 20% of 60 is 12, because 60÷5=12. Does Noah’s method always work? Explain why or why not.
Answer:
yes
Step-by-step explanation:
because if you divide what you said its will have a sum
Round off 31623 to the nearest ten thousand
Answer:
30,000
Step-by-step explanation:
31623
1 is less than 5 so you dont round up
30,000
-- Gage Millar, Algebra 2 Tutor
WILL GIVE BRAINLIEST
Answer:
(6x - 1) • (2x + 9)
Step-by-step explanation:
STEP
1
:
Equation at the end of step 1
((22•3x2) + 52x) - 9
STEP
2
:
Trying to factor by splitting the middle term
2.1 Factoring 12x2+52x-9
The first term is, 12x2 its coefficient is 12 .
The middle term is, +52x its coefficient is 52 .
The last term, "the constant", is -9
Step-1 : Multiply the coefficient of the first term by the constant 12 • -9 = -108
Step-2 : Find two factors of -108 whose sum equals the coefficient of the middle term, which is 52 .
-108 + 1 = -107
-54 + 2 = -52
-36 + 3 = -33
-27 + 4 = -23
-18 + 6 = -12
-12 + 9 = -3
-9 + 12 = 3
-6 + 18 = 12
-4 + 27 = 23
-3 + 36 = 33
-2 + 54 = 52 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -2 and 54
12x2 - 2x + 54x - 9
Step-4 : Add up the first 2 terms, pulling out like factors :
2x • (6x-1)
Add up the last 2 terms, pulling out common factors :
9 • (6x-1)
Step-5 : Add up the four terms of step 4 :
(2x+9) • (6x-1)
Which is the desired factorization
HOPE IT HELPS! :))
if q is an odd number and the median of q consecutive integers is 120, what is the largest of these integers?
If q is an odd number and the median of q consecutive integers is 120, then the largest of these integers is option (A) (q-1) / 2 + 120
The number q is an odd number
The median of q consecutive integers = 120
Consider the q = 3
Then three consecutive integers will be 119, 120, 121
The largest number = 121
Substitute the value of q in each options
Option A
(q-1) / 2 + 120
Substitute the value of q
(3-1)/2 + 120
Subtract the terms
=2/2 + 120
Divide the terms
= 1 + 120
= 121
Therefore, largest of these integers is (q-1) / 2 + 120
I have answered the question in general, as the given question is incomplete
The complete question is
if q is an odd number and the median of q consecutive integers is 120, what is the largest of these integers?
a) (q-1) / 2 + 120
b) q/2 + 119
c) q/2 + 120
d) (q+119)/2
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16 oz harbor peanut butter for 2.49 or a 64 oz jar of peanut butter for 6.99 round everything up to the nearest cent or hundreth. yes mam
We have to find the "better buy" between two options:
1) 16 oz jar for $2.49
2) 64 oz jar for $6.99
We can compare this two options with the unit price of each one. The unit price will be expressed in "$ per oz" or "$/oz". The option with the smaller unit price is the "better buy".
We can calculate the unit price as teh quotient between the price and the weight of each option.
Unit price for Option 1:
\(u_1=\frac{2.49\text{ \$}}{16\text{ oz}}\approx0.16\frac{\$}{oz}_{}\)Unit price for Option 2:
\(u_2=\frac{6.99\text{ \$}}{64\text{ oz}}\approx0.11\frac{\$}{oz}\)As the Option 2 (64 oz jar) has a smaller unit price, the better buy is the 64 oz jar for $6.99.
Answer: the better buy is the 64 oz jar for $6.99.
Please Help ASAP
Jorge has a swimming pool that is rectangular in shape. The length and width of the pool are 24 feet and 14 feet. He also knows that the pool has a consistent depth of 5 feet. He needs to add 4 drops of chlorine for every 50 cubic feet in his pool. How many drops of chlorine should Jorge use to chlorinate his pool properly?
Answer:
140 drops
Step-by-step explanation:
Length of the pool = 24 feet
Width of the pool = 14 feet
Depth of the pool = 5 feet
Volume of the pool = length × width × depth
= 24 ft * 14 ft * 5 ft
= 1,750 ft³
Volume of the pool = 1,750 ft³
He needs to add 4 drops of chlorine for every 50 cubic feet in his pool.
Number of 50 cubic feet in the volume of the pool = Volume of the pool / 50 ft³
= 1,750 ft³ / 50 ft³
= 35
Number of 50 cubic feet in the volume of the pool = 35
How many drops of chlorine should Jorge use to chlorinate his pool properly?
Number of drops of chlorine Jorge should use = number of drops per 50 ft³ × Number of 50 cubic feet in the volume of the pool
= 4 × 35
= 140 drops
Number of drops of chlorine Jorge should use = 140 drops
The length and width of a rectangle are consecutive even integers. The area of the rectangle is 360 square meters. Find the length and width of the rectangle.
Answer:
Step-by-step explanation:
The perimeter is 79 meters
Let x be the smaller even integer representing the width of the rectangle, then the length of the rectangle is x + 2 (since they are consecutive even integers).
The area of the rectangle is given by length × width, so we have:
Area = (x + 2) × x = 360
Expanding the expression on the left side, we get:
x^2 + 2x = 360
Rearranging, we get:
x^2 + 2x - 360 = 0
We can factor the left side of the equation as:
(x + 20) (x - 18) = 0
Thus, the solutions are x = -20 or x = 18. Since x represents the width, which cannot be negative, we have x = 18.
Therefore, the width of the rectangle is 18 meters and the length is x + 2 = 20 meters.
>Calculate the average rate of change for the graphed sequence from n = 2 to n = 4. Graphed sequence showing point 1, negative 3, point 2, negative 3. 5, point 3, negative 6. 75, point 4, negative 10. 125, point 5, negative 15. 1875, and point 6, negative 22. 78125 −6. 625 −3. 3125 −3. 0 −2. 0.
Answer:
The average rate of change for the graphed sequence from n = 2 to n = 4 is -3.3125.
Step-by-step explanation:
To calculate the average rate of change for the graphed sequence from n = 2 to n = 4, we need to find the difference in the values and divide it by the difference in the corresponding values of n.
The sequence values provided are as follows:
Point 1: n = 1, value = -3
Point 2: n = 2, value = -3.5
Point 3: n = 3, value = -6.75
Point 4: n = 4, value = -10.125
Point 5: n = 5, value = -15.1875
Point 6: n = 6, value = -22.78125
To calculate the average rate of change from n = 2 to n = 4, we consider the values at those points:
Value at n = 2: -3.5
Value at n = 4: -10.125
Difference in values: -10.125 - (-3.5) = -6.625
Difference in n: 4 - 2 = 2
Average rate of change = (Difference in values) / (Difference in n) = -6.625 / 2 = -3.3125
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Define the dummy random variable which takes on the value 1 when the number on first dice is either 1,2 or 3 and takes on the value 0 otherwise. Define a second dummy random variable which takes on the value 1 when the number on the second dice is either 3, 4, 5 or 6 and takes on the value of 0 otherwise. and are independent. True or false
True, the joint probability of Y1 and Y2 taking on the value 1 simultaneously is 1/3.
The first dummy random variable is defined as follows:
Let X be the random variable representing the number on the first dice. Then, the dummy random variable Y1 is defined as:
Y1 = 1 if X is either 1, 2, or 3
Y1 = 0 otherwise
Similarly, the second dummy random variable is defined as:
Let Z be the random variable representing the number on the second dice. Then, the dummy random variable Y2 is defined as:
Y2 = 1 if Z is either 3, 4, 5, or 6
Y2 = 0 otherwise
Since Y1 and Y2 are independent, their joint probability distribution can be computed by multiplying their marginal probabilities.
P(Y1=1, Y2=1) = P(Y1=1) * P(Y2=1)
To compute P(Y1=1), we need to find the probability that X is either 1, 2, or 3. Since each face of a fair dice has an equal probability of appearing, we have:
P(X=1) = P(X=2) = P(X=3) = 1/6
Therefore,
P(Y1=1) = P(X=1 or X=2 or X=3) = P(X=1) + P(X=2) + P(X=3) = 3/6 = 1/2
Similarly, to compute P(Y2=1), we need to find the probability that Z is either 3, 4, 5, or 6. Again, since each face of a fair dice has an equal probability of appearing, we have:
P(Z=3) = P(Z=4) = P(Z=5) = P(Z=6) = 1/6
Therefore,
P(Y2=1) = P(Z=3 or Z=4 or Z=5 or Z=6) = P(Z=3) + P(Z=4) + P(Z=5) + P(Z=6) = 4/6 = 2/3
Thus,
P(Y1=1, Y2=1) = P(Y1=1) * P(Y2=1) = (1/2) * (2/3) = 1/3
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A punch recipe requires 4 cups of lemonade to make 7 gallons of punch. Using the same recipe, what is the amount of lemonade needed for 1 gallon of punch? Answer please!
Answer:1.75
for each gallon we need to find the rate of each.So 7 gallons takes 4 cups.We will divide the 7 gallons over the 4 cups.
7/4=1.75
1.75 cups of lemonade for each gallon
You rolled a number cube 20 times, you get three 14 times. What is the experimental probability that you will roll a three on your next roll?
The experimental probability that you will roll a three on your next roll is 70%.
To calculate the experimental probability of rolling a number three on the next roll, we need to use the data given in the problem. Out of the 20 rolls that were performed, the number three was rolled 14 times.
The experimental probability is calculated by dividing the number of times the event occurred (in this case, rolling a number three) by the total number of trials.
So, the experimental probability of rolling a number three on the next roll is:
14/20 or 7/10
This means that based on the data from the previous 20 rolls, there is a 70% chance of rolling a number three on the next roll.
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Consider the following statements about variance investigation: 1. The absolute size of a vaniance is more important than the relative size when trying to decide what viriances to irvestignte II. Variance investigation invotves a look at enly unfavorable variances. III Variance investigation is typically based on a cost-benefit analysis. Which of the above statements is (are) true? I only. II and III. III only. If only. 1, II, and III:
The correct answer is: III only. Variance investigation is typically based on a cost-benefit analysis.
Statement I is incorrect because the relative size of a variance, in comparison to other variances, can be important in understanding its significance.
Statement II is incorrect because variance investigation does not focus solely on unfavorable variances. Both favorable and unfavorable variances are considered during the investigation.
Statement III is true. Variance investigation is typically based on a cost-benefit analysis, where the potential benefits of investigating and addressing variances are weighed against the associated costs.
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i need help on figuring this out and the answer plz!!
Answer:
$76
Step-by-step explanation:
The amount changed is the total amount of the whole entire thing.
Therefore, we use absolute value or simply find the difference.
21 - (-55) = 76
So the bank account changed $76 over the 2 days.
21 A forklift has a maximum carrying capacity of 960 pounds. Each cargo box weighs 60 pounds.
a. Write and solve an inequality that represents the maximum number of cargo boxes the
forklift can carry.
b.
A 120-pound carrying case is used to hold the cargo boxes. What is the maximum number
of cargo boxes the forklift can carry when the carrying case is used? Show that your answer
is correct by showing that one more than your answer would exceed the forklift's capacity
Using the concept of inequality, it can be concluded that;
a) Maximum number of cargo boxes the forklift can carry is 16.
b) Maximum number of cargo boxes the forklift can carry when the carrying case is used is 14.
What is the inequality in mathematics?An inequality in mathematics is a relation that compares two numbers or other mathematical expressions in an unequal way. The most frequent application is to contrast two numbers on the number line based on their sizes.
Let the no. of cargo box be x.
So the equation is 60x≤960
x≤960/60
x≤16
Now the 120 pound additional weight is needed so the equation is:
120 + 60x≤960
60x≤840
x≤14
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A rectangular metal sheet of length 44 cm and breadth 11 cm is folded by breadth side to form a cylinder.find its volume.