Answer: 6.5
Step-by-step explanation:
To perform this kind of exercise, it is necessary to replace the value indicated in each variable each time you find the variable in the equation.
Answer:
6.5
Step-by-step explanation:
Substitute the known variables into the equation
7(0.5) + 5 - 8(0.25)
Multiply: 3.5+5-2
Solve: 6.5
y=4x-16. Please Show work
Answer: x=4
Step-by-step explanation:
Step 1. turn you y into a 0
0=4x-16
Step 2. get x alone
a.
0 = 4x -16
+16 +16
*what you do to one side of the equal sign you must to the other.
b.
0 + 16 = 4x
(divide by 4) 16 = 4x (divide by 4)
*divide by 4 to get rid of the 4 next to the x, remeber to do both sides of the equal sign
4 = x
pls help!! using the pythagorean theorem !!!
Answer:
≈8.66
Step-by-step explanation:
Pls mark me brainliest :))
Answer:
h= 8.7 cm
Step-by-step explanation:
5^2 + h^2 = 10^2
25 + h^2 = 100
25-25= 0 100-25=75
h^2 = 75
\(\sqrt{75}\)= 8.7
h=8.7
hope this helps :)
please crown me brainliest!!!!!
write a quadratic function h whose zeros are - 6 and -5 h (x) =
Answer:
h(x)= x^2+11x+30
Step-by-step explanation:
A quadratic function is in the form h(x) = ax^2 + bx + c.
Since the zeros are -6 and -5, take the opposite signs and add them to the variable x separately.
It should look like this: h(x)= (x+6)(x+5)
Since this is the factored form, we have to solve this equation further.
h(x)= (x+6)(x+5)
h(x)= x^2+6x+5x+30
h(x)= x^2+11x+30
If MP=6x-5,QR=3x+1, and RN=6, what is QN
Answer:
12
Step-by-step explanation:
12
The ________ of event a is the event consisting of all simple events in the sample space s that are not in a.
Answer:
I think it is complement. Not so sure so sorry If i get it wrong I haven't done this in 2 or 3 years
Step-by-step explanation:
easy please helppp match the following defintion with the correct term: the vertical distance between two points on a line
1. run
2. rate of run
3. slope
4. rise
Answer:
4. rise
match the following definition with the correct term:
the vertical distance between two points on a line
1. run
2. rate of run
3. slope
4. rise
Does anyone know which one it is??
Answer:
Limited economic options
Step-by-step explanation:
Answer:
A i think
Step-by-step explanation:
do to the way peasants lived they did not have options most of the time
Find the surface area of a regular hexagonal prism with side length 4.2 millimeters, height 3.9 millimeters, and base area of approximately 45.8 square millimeters. round to the nearest tenth.
By calculating the areas of the rectangular faces and the hexagonal bases, and then summing them up, we can find the surface area of the regular hexagonal prism.
A regular hexagonal prism consists of six rectangular faces and two hexagonal bases. To calculate the surface area, we need to determine the areas of these individual components and then sum them up.
Each rectangular face has a length equal to the side length of the hexagon and a width equal to the height of the prism. Therefore, the area of each rectangular face is given by length times width. With a side length of 4.2 millimeters and a height of 3.9 millimeters, the area of each rectangular face is 4.2 mm * 3.9 mm.
Since there are six rectangular faces, the total area of the rectangular faces is 6 times the area of each rectangular face.
Next, we need to calculate the area of each hexagonal base. A regular hexagon is composed of six equilateral triangles, and the area of an equilateral triangle can be determined using the formula: (sqrt(3) / 4) * side length^2. With a side length of 4.2 millimeters, we can calculate the area of each equilateral triangle and then multiply it by 6 to obtain the total area of the hexagonal bases.
Finally, we add the area of the rectangular faces to the area of the hexagonal bases to get the total surface area of the regular hexagonal prism. To round to the nearest tenth, we can apply rounding to the final result.
In summary, by calculating the areas of the rectangular faces and the hexagonal bases, and then summing them up, we can find the surface area of the regular hexagonal prism.
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On a chemistry quiz, there are 5 multiple choice questions with 4 choices each. What is the probability that you get a 100% if you strictly guess.
Answer:
0.097%
Step-by-step explanation:
Since this is a series of events probability question, in order to calculate the probability you need to first find the probability of getting each individual answer right and then multiplying those probabilities together. This will give you the probability of getting 100% on the entire test. Since the questions are multiple-choice with 4 choices and only 1 correct choice then the probability of getting one right is 1/4 or 25%. Now that we have that probability we simply need to multiply it 5 times for each individual question.
1/4 * 1/4 * 1/4 * 1/4 * 1/4 = 1/1024 or 0.0009765 or 0.097%
A school fundraiser sells 1,200 raffle tickets. Each ticket costs $2. There is one grand prize worth $100 and 5 smaller prizes worth $20 each. What is the expected gain or loss for buying 1 ticket? loss of $1.91 loss of $1.83 gain of $2.16 loss of $1.99
Answer:
loss of $1.83
Step-by-step explanation:
The average prize per ticket is ...
($100 +5($20))/1200 = $200/1200 ≈ $0.1667 ≈ $.17
You pay $2.00 for a ticket, so your expected value is ...
-$2.00 +0.17 = -$1.83 . . . . a loss of $1.83
Answer:
loss of 1.83
Step-by-step explanation:
iready test
A company orders 12 boxed lunches from a deli for $107.40. If each boxed lunch costs the same amount, how much do 25 boxed lunches cost?
Answer:
$223.75
Step-by-step explanation:
107.40 ÷ 12 = $8.95
1 box = $8.95
8.95 × 25 = $223.75
trish buys a 36 pack of toilet paper rolls for $15 how much did she pay for 1 roll of toilet paper
Answer:
Step-by-step explanation:
So assuming that all the toilet paper rolls cost the same amount we need to find the unit rate. To find the unit rate it's a lot easier than teachers explain it. You just divide the first number by the second number and bam. 36/15 is 2.4. Trish payed 2 dollars and 40 cents for one toilet paper roll.
A resting heart rate for men on a chart say 62-65 beats per minute puts men in the good category of scott counted 238 heart beats in 3 1/2 minutes does his heart rate fall into the good category
In testing for differences between the means of two (2) related populations where the
variance of the differences is unknown, the degrees of freedom are
a. n - 1
b. n1 + n2 - 1
c. n1 + n2 - 2
d. n - 2
The formula for the degrees of freedom is as follows: df = n1 + n2 - 2where n1 and n2 are the sample sizes of the two populations. Therefore, the correct answer is c. n1 + n2 - 2.
In testing for differences between the means of two related populations where the variance of the differences is unknown, the degrees of freedom are n1 + n2 - 2.The degrees of freedom are very important in statistics, as they tell you how much you can trust your results. The degrees of freedom are related to sample size and are used in various statistical tests, including t-tests and chi-square tests. In this particular case, we are interested in testing for differences between the means of two related populations where the variance of the differences is unknown.In this case, we use a t-test to compare the means of the two populations. The formula for the t-test is as follows:t = (x1 - x2) / (s / √n)where x1 is the mean of the first population, x2 is the mean of the second population, s is the standard deviation of the differences between the two populations, and n is the sample size.
In order to calculate the t-value, we need to know the degrees of freedom. The formula for the degrees of freedom is as follows:df = n1 + n2 - 2where n1 and n2 are the sample sizes of the two populations. Therefore, the correct answer is c. n1 + n2 - 2.
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Warren earns $21.75 per hour and worked 36.5 hours last week and 32 hours the
week before. What is Warren's gross pay for the two weeks? Show your work.
Answer:
$1,489.88 (nearest cent)
Step-by-step explanation:
To calculate gross pay, multiply the number of hours worked by the pay per hour.
Warren worked 36.5 hours one week and 32 hours the week before.
Therefore, the total number of hours Warren worked was:
36.5 + 32 = 68.5 hoursMultiply the total number of hours worked by Warren's rate of pay of $21.75 per hour:
68.5 × 21.75 = 1489.875Therefore, Warren's gross pay for the two weeks was $1,489.88 (nearest cent).
Answer:
$1489.875
Step-by-step explanation:
Warren's gross pay for 36.5 hours last week can be calculated as follows:
Gross pay for 36.5 hours = $21.75/hour * 36.5 hours = $793.875
Similarly, Warren's gross pay for 32 hours the week before can be calculated as follows:
Gross pay for 32 hours = $21.75/hour * 32 hours = $696
Adding the gross pay for the two weeks, we get:
Gross pay for 2 weeks = $793.875 + $696 = $1489.875
The inverse of f (x)=x^2-3 is?
Answer:
\(f^{-1}\)(x)=\(\sqrt{x+3}\) , - \(\sqrt{x+3}\)
Step-by-step explanation:
I have no idea how to do this, pls help. Question in the picture. Please show your work. Thanks!
Answer:
C
Step-by-step explanation:
This is a stem and leaf plot. If you don't know what a stem and leaf plot is, try searching it before coming back and viewing the solution. I also see an "example" button. It might help to hit that too.
First, we sort the list of numbers. Here is what we get:
64, 66, 67, 68, 69, 74, 75, 76, 78, 79
Here, the stems are the tens digits and the leaves are the ones digits.
Therefore, for the stem 6, the leaves are:
4, 6, 7, 8, 9
For the stem 7, the leaves are:
4, 5, 6, 8, 9
The answer, I believe, is C
Prove Proposition 4.6 That States: Given TriangleABC And TriangleA'B'C'. If Segment AB Is Congruent To Segment A'B' And Segment BC Is Congruent To Segment B'C', The Angle B Is Less Than Angle B' If And Only If Segment AC Is Less Than A'C'.
We have proved that angle B is less than angle B' if and only if segment AC is less than segment A'C'.
To prove Proposition 4.6, we will use the triangle inequality theorem and the fact that congruent line segments preserve angles.
Given Triangle ABC and Triangle A'B'C' with the following conditions:
1. Segment AB is congruent to segment A'B'.
2. Segment BC is congruent to segment B'C'.
We want to prove that angle B is less than angle B' if and only if segment AC is less than segment A'C'.
Proof:
First, let's assume that angle B is less than angle B'. We will prove that segment AC is less than segment A'C'.
Since segment AB is congruent to segment A'B', we can establish the following inequality:
AC + CB > A'C' + CB
Now, using the triangle inequality theorem, we know that in any triangle, the sum of the lengths of any two sides must be greater than the length of the remaining side. Applying this theorem to triangles ABC and A'B'C', we have:
AC + CB > AB (1)
A'C' + CB > A'B' (2)
From conditions (1) and (2), we can deduce:
AC + CB > A'C' + CB
AC > A'C'
Therefore, we have shown that if angle B is less than angle B', then segment AC is less than segment A'C'.
Next, let's assume that segment AC is less than segment A'C'. We will prove that angle B is less than angle B'.
From the given conditions, we have:
AC < A'C'
BC = B'C'
By applying the triangle inequality theorem to triangles ABC and A'B'C', we can establish the following inequalities:
AB + BC > AC (3)
A'B' + B'C' > A'C' (4)
Since segment AB is congruent to segment A'B', we can rewrite inequality (4) as:
AB + BC > A'C'
Combining inequalities (3) and (4), we have:
AB + BC > AC < A'C'
Therefore, angle B must be less than angle B'.
Hence, we have proved that angle B is less than angle B' if and only if segment AC is less than segment A'C'.
Proposition 4.6 is thus established.
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Why are statistical calculations like random variable, variance, expected value, probability distributions and standard deviation important to risk management and insurance
statistical calculations are important in risk management and insurance because they help to quantify and model risk, predict future outcomes, and manage risk effectively.
Variance is important in risk management and insurance because it helps to assess the volatility or fluctuation of returns, which is important in determining how much risk an individual or company is willing to take. Random Variable :Random variables are essential in risk management because they help to determine the probability of specific outcomes. This is particularly important for insurance companies that need to calculate premiums and manage risk on behalf of policyholders .Expected Value: Expected value is critical to risk management because it helps to calculate the average outcome of an event over a large number of trials. This helps to predict future outcomes and manage risk. Probability Distributions :Probability distributions are important in insurance and risk management because they help to quantify and model the likelihood of different outcomes and events. This is critical in assessing and managing risk. Standard Deviation :Standard deviation is important in risk management because it helps to measure the amount of variability or dispersion of data around the mean or expected value. This is important in determining the level of risk associated with an investment or policy decision .
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Which pair of radicals is a pair of like radicals
Si 4x+2x=2, el valor de x es?
Answer:
answer is 1
Step-by-step explanation:
Answer:
\(x = \frac{1}{3} \)
Step-by-step explanation:
Recopilar términos semejantes:
\(6x = 2\)
Divide ambos lados de la ecuación por 6:
\( \frac{6x}{6} = \frac{2}{6} \)
Por lo tanto, la respuesta será x = 1/3
Evaluate the expression when b = 7 and y=-2.
-b+6y
Answer:
-19
Step-by-step explanation:
-7+6(-2)= -7-12=-19
Divide ( 9/11) ÷ (3/2)
Answer:
Its your answer ......
hope it will help u
Find sin 0, where 0 is the angle shown.
Give an exact value, not a decimal approximation.
The sine of the angle is √33/7
How to determine the sine of the angleFrom the question, we have the following parameters that can be used in our computation:
The triangle
The sine of the angle is calculated as
Sin = Opposite/Hypotenuse
Where
Opposite = √(7² - 4²) = √33
Hypotenuse = 7
Substitute the known values in the above equation, so, we have the following representation
Sin = √33/7
Hence, the sine of the angle is √33/7
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Determine whether triangles ABC and DBE
are similar by following these steps.
1. ZABC is
ZDBE.
A
4
10.4
D
5.2
С
23.4
E 7.8
B
Check
"No, triangles ABC and DBE are not similar." Since the ratios of the corresponding side lengths are not equal (2, 3, 2), triangles ABC and DBE are not similar.
To determine whether triangles ABC and DBE are similar, we need to compare their corresponding angles and sides.
1. Compare the ratios of their corresponding side lengths.
Triangle ABC:
Side AB = 10.4
Side BC = 23.4
Side AC = 4
Triangle DBE:
Side DB = 5.2
Side BE = 7.8
Side DE = 2
Now, let's find the ratios of corresponding side lengths:
AB/DB = 10.4/5.2 = 2
BC/BE = 23.4/7.8 ≈ 3
AC/DE = 4/2 = 2
Since the ratios of the corresponding side lengths are not equal (2, 3, 2), triangles ABC and DBE are not similar.
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a newsletter publisher believes that 333% of their readers own a rolls royce. a testing firm believes this is inaccurate and performs a test to dispute the publisher's claim. after performing a test at the 0.100.10 level of significance, the testing firm fails to reject the null hypothesis. what is the conclusion regarding the publisher's claim?
There is sufficient evidence at the 0.10 level of significance that the percentage is not 33%.
According to the newsletter publisher that 33% of their readers own a Rolls Royce.
The testing firm says that this is an inaccurate issue and performs a test to dispute the publisher's claim, after performing the test at the 0.10 level of significance the results are as follows,
Null hypothesis:
H₀ : p = 0.33
Alternative hypothesis:
H₁ : p ≠ 0.33
We reject H₀ at the 0.10 level of significance.
Therefore, There is sufficient evidence at the 0.10 level of significance that the percentage is not 33%.
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4 Tuan wants to add trim only around the edges of the
gate in problem 3. About how much trim does he need?
A
20.28 feet
C
34.56 feet
B 32.56 feet
D
39.12 feet
help please i have 5 missing math assignments
Answer:
✔ ∅ B 32.56 feetStep-by-step explanation:
4 Tuan wants to add trim only around the edges of the
gate in problem 3. About how much trim does he need?
✘ O A 20.28 feet
✘ O C 34.56 feet
✔ ∅ B 32.56 feet
✘ O D 39.12 feet
write the equation of the line that satisfies the given conditions. express the final equation in standard form.contains the point(3, 8)and is perpendicular to the y axis;
The equation of the line that satisfies the given conditions and passes through the point (3,8) and is perpendicular to the y-axis is x=3. This can be answered by the concept of Simple equations.
A line perpendicular to the y-axis is parallel to the x-axis, and since it passes through the point (3,8), its equation can be written as x = 3. This is because for any point on this line, the x-coordinate will always be 3, and the y-coordinate can be any value, which means the line will be a vertical line passing through (3,8).
Therefore, the equation of the line that satisfies the given conditions and passes through the point (3,8) and is perpendicular to the y-axis is x=3, which is in standard form
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The manufacturer of a wooden feeding trough for farm animals makes the sides and bottom of the trough 1 foot thick. The outer height and outer width of the trough are the same, and the outer length is twice the outer height and outer width. What should the outer dimensions of the trough be if the trough is to hold 36 cubic feet of feed?
Answer:
outer width of trough = outer height of trough = x = 4ft
outer length of trough = 2x = 8ft
Step-by-step explanation:
Let,
x = outer width of trough = outer height of trough
Now, according to given condition:
2x = outer length of trough
Now we calculate the inner dimensions by subtracting the thickness (1 ft)
Therefore,
x - 2(1ft) = x - 2ft = inner width of trough (because 1ft from both sides will be subtracted)
x - 1ft = inner height of trough (because only bottom thickness will be subtracted)
2x - 2ft = inner length of trough (because 1ft from both sides will be subtracted)
Now, for the holding volume or inside volume of trough will be:
\(Inner Volume = 36\ ft^3 = inner\ height*inner\ width*inner\ length \\36 = (x - 1)(x - 2)(2x - 2)\\36 = (x - 1)(2x^2 - 6x + 4)\\36 = (2x^3 - 6x^2 + 4x - 2x^2 + 6x - 4)\\36 = (2x^3 -8x^2 + 10x - 4) \\2x^3 -8x^2 + 10x - 40 = 0\\2x^2(x-4)+10(x-4) = 0\\(x-4)(2x^2+10) = 0\\\)
So, we will have three roots from this solution. Two, of them will be complex from the second factor. So, we ignore them and take the third one as our answer:
x - 4 = 0
x = 4ft
Now the outer dimensions will be:
outer width of trough = outer height of trough = x = 4ft
outer length of trough = 2x = 8ft
There are 20 triangles and 4 circles. What is the simplest ratio of circles to total shapes?
PLS HURRY HELP
Answer:
Im pretty sure its 5
Step-by-step explanation:
5:1 due to 20/4 would be 5. I can give you more of an explaination if needed.
Answer:
5 triangles to 4 circles.