A test has a mean grade of 75 with standard deviation of 5. The distribution of test grades is normal. What percent of the test grades are below 60?



Joe wants to find a 90% confidence interval for his mean running time for his usual route. He has sample data for 30 days of running. The mean time for the 30 days is 22 minutes with standard deviation of 2 minutes. What is the 90% confidence interval of his overall mean running time?



What is the margin of error for a 98% confidence interval if we have a sample mean of 50, sample standard deviation of 6, and a sample size of 100?



Find the boundaries of the middle 70% of the data in a normal distribution that has a mean of 40 and standard deviation of 4.



What proportion of the prices of a pair of sneakers are above $150 if the mean price is $95 and the standard deviation is $15. Assume the prices are nor

Answer:

K=-3

Step-by-step explanation:

Step-by-step explanation:

The probability that Becky's proportion of poses held for over a minute is greater than Carla's is 0.741.

This can be determined by using the z-table, which shows the probability that a random variable is in the range that is a certain distance away from the mean.

In this case, we are looking at the probability that a random variable is greater than C, so we use the z-value for 0.741.

The three (3) statements which are true include the following:

A. The radius of the circle is 3 units.

B. The center of the circle lies on the x-axis.

D. The radius of this circle is the same as the radius of the circle whose equation is x² + y² = 9.

In Mathematics, the standard form of the equation of a circle is represented by this mathematical expression;

(x - h)² + (y - k)² = r²   ....equation 1.

Where:

h and k represents the coordinates at the center of a circle.

r represents the radius of a circle.

From the information provided above, we have the following equation of a circle:

x² + y² – 2x – 8 = 0      ......equation 2.

In order to determine the true statements, we would rewrite the equation in standard form and then factorize by using completing the square method:

x² – 2x + y² = 8 = 0

x² – 2x + (2/2)² + y² = 8 + (2/2)²

x² – 2x + 1 + y² = 8 + 1

(x – 1)² + (y - 0)² = 9         .......equation 3.

Comparing equation 1 and equation 3, we have the following:

Center (h, k) = (1, 0)

Radius (r) = 3

Additionally, this line and the center of the given circle lies on the x-axis (x-coordinate) because the y-value is equal to zero (0).

(x – 0)² + (y - 0)² = 3²

x² + y² = 9.

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Answer:

311

Step-by-step explanation:

221 + 90 = 311

Answer:

311

Step-by-step explanation:

u coud of google that

Answer:

756 cm

i hope this helps

Answer:

\(x\ge 2\)

Step-by-step explanation:

For this type of problem, we can take "6" and raise it to the power of both sides.

\(6^{\text{log}_6(3-x)}\le6^{\text{log}_6(x-1)}\)

which simplifies to:

\(3-x\le x-1\)

which makes sense since generally speaking, the logarithmic function is increasing (if the base is greater than one), so the inside must be less. Now from here we can add x to both sides and add 1 to both sides:

\(4\le2x\)

Now just divide both sides by 2:

\(2\le x\)

Which can also be written as:

\(x\ge 2\)

One important thing to note is this inequality is technically incomplete as the (3-x) must remain greater than zero and (3-x) cannot equal 1 nor can (x-1) equal 1 as when any of those conditions are true, one of the logarithms cannot be defined so we can't really compare them.

Answer: x ≥ 2

Step-by-step explanation:

      Since both of these logarithms have the same base, we can use the one-to-one property. Then we will solve as normal.

      One-to-one-property:

3 - x ≤ x - 1

      Add x to both sides of the equation:

3 ≤ 2x - 1

      Add 1 to both sides of the equation:

4 ≤ 2x

      Divide both sides of the equation by 2:

2 ≤ x

      Flip to rewrite:

x ≥ 2

      Please note that the log of a negative number is undefined. For example, if we input 5 (which is greater than two) 3 - 5 = -2 and \(log_6(-2)\) is undefined.

The required equation that represent the hanger is 10 + 5x = 11 and the value of x is 1/5.

Given the diagram of the hanger which one side has 10 + 5x  and other side has 11.

To find the equation, equate the expression of one side to the numerical value of the other side. On solving the equation gives the value of x.

Thus, the equation is 10 + 5x = 11.

Consider the equation 10 + 5x = 11

On subtracting 10 from each side gives,

5x = 1

Divide each side by 5 gives,

x = 1/5.

Hence,  the required equation that represent the hanger is 10 + 5x = 11 and the value of x is 1/5.

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The measure of the length EF of the triangle is; 21

We are given the the triangle BCD and we are told that;

E is the midpoint of BD.

F is the midpoint of CD

Now, since we have those midpoints, it means that by the concept of similar triangles, that;

DF/DC = EF/BC

Since F is the midpoint of DC, then it means that;

2DF = DC

We are given;

EF = 43 - 4x, and BC = 32 - 2x

Thus, we now have;

DF/(2DF) = (43 - 4x)/(32 - 2x)

1/2 = (43 - 4x)/(32 - 2x)

Cross multiply to get;

32 - 2x = 43 - 4x

4x - 2x = 43 - 32

2x = 11

x = 11/2

x = 5.5

Thus;

EF = 43 - 4(5.5)

EF = 43 - 22

EF = 21

Thus, we conclude that the side length EF is 21.

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Answer:

7 and 19

Step-by-step explanation:

x—smaller number

x+12—larger number

x+x+12=26

2x=26-12

2x=14

x=7

x+12=7+12=19

Answer: D

Step-by-step explanation:

I did it

The statement that correctly describes the function is:

The function is decreasing and nonlinear from x = 4 to x = 11.

Option D is the correct answer.

A function has an input and an output.

A function can be one-to-one or onto one.

It simply indicated the relationships between the input and the output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

From the graph,

We see that,

The function is increasing and nonlinear from x = -7 to x = -4.

The function is constant and linear from x = -4 to x = 1.

The function is increasing and nonlinear from x = 1 to x = 4.

The function is decreasing and nonlinear from x = 4 to x = 11.

Thus,

The function is decreasing and nonlinear from x = 4 to x = 11.

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Which best explains why

Which best explains whyall equilateral triangles are similar?

○All equilateral triangles are congruent and therefore similar, with side lengths in a 1:1 ratio

Hope this helps- have a good day bro cya)

Answer: C. All equilateral triangles can be mapped onto each other using combinations of dilations and rigid transformations.

Step-by-step explanation:

Got it right on edge 2023

Answer:

AB =  4.9cm

Step-by-step explanation:

We know

AC is 9.1 centimeters, and BC is 4.2 centimeters.

Find AB

We take

9.1 - 4.2 = 4.9cm

So, AB = 4.9cm

Answer:

\(sin\theta = \frac{5}{14}\\\\\theta = sin^-1 \frac{5}{14}\\\\\theta = 20.9\)

Option B: 20.9°

Answer:

15

Step-by-step explanation:

105/7

Answer:

thi dhany kar rahe the aur man apane ghar men hi the jinhone apani bat ko lekar bhi

Answer:

  the end behavior of h(x) matches the end behavior of x

  3 zeros, 2 turns

Step-by-step explanation:

The polynomial is of degree 3, so will have a maximum of ...

Because the degree is odd the signs of the end values of h(x) will be different. Because the leading coefficient is positive, the signs of the end values of h(x) will match the sign of x:

Answer:

288

Step-by-step explanation:

288+248=536

Answer:

I don't think it's suppost to be an equal sign but this is what i got

Answer:

To translate triangle ABC 3 units up, we need to add 3 to the y-coordinate of each vertex:

A' = (-3, 3 + 3) = (-3, 6)

B' = (0, 7 + 3) = (0, 10)

C' = (-3, 0 + 3) = (-3, 3)

Therefore, the coordinates of the vertices for the image triangle A'B'C' are A'(-3, 6), B'(0, 10), and C'(-3, 3).

So the correct answer is: A′(−3, 6), B′(0, 10), C′(−3, 3).

Since -1.7 > -2.33, we faiI tο reject the nuII hypοthesis. Therefοre, we cannοt cIaim with 99% cοnfidence that the mean weight οf the manufacturer's cοmputer parts is Iess than 275 grams

Standard deviatiοn is a statisticaI measure that shοws hοw much variatiοn οr dispersiοn there is frοm the mean οf a set οf data. It is caIcuIated by finding the square rοοt οf the variance.

Tο test this hypοthesis, we need tο perfοrm a οne-sampIe t-test with the fοIIοwing hypοtheses:

NuII hypοthesis: The mean weight οf the cοmputer parts prοduced by the manufacturer is greater than οr equaI tο 275 grams.

AIternative hypοthesis: The mean weight οf the cοmputer parts prοduced by the manufacturer is Iess than 275 grams.

We wiII use a οne-taiIed test with a IeveI οf significance οf 1%, which cοrrespοnds tο a t-scοre οf -2.33 (frοm the t-distributiοn tabIe with 255 degrees οf freedοm).

The test statistic fοr this sampIe is:

t = (sampIe mean - hypοthesized mean) / (sampIe standard deviatiοn / √(sampIe size))

t = (274.3 - 275) / (25.9 / √(256))

t = -1.7

Since -1.7 > -2.33, we faiI tο reject the nuII hypοthesis. Therefοre, we cannοt cIaim with 99% cοnfidence that the mean weight οf the manufacturer's cοmputer parts is Iess than 275 grams

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Answer:Fail to reject the null hypothesis. There is not enough evidence to oppose the company's claim.

Step-by-step explanation:The mean weight from a sample of 256 computer parts created by a computer manufacturer was 274.3 grams, with a standard deviation of 25.9 grams. Can this company claim that the mean weight of its manufactured computer parts will be less than 275 grams? Test this hypothesis using a 1% level of significance.

Reject the null hypothesis. There is not enough evidence to oppose the company's claim.

Fail to reject the null hypothesis. There is not enough evidence to oppose the company's claim.

Reject the null hypothesis. There is enough evidence to oppose the company's claim.

Fail to reject the null hypothesis. There is enough evidence to oppose the company's claim.

The test statistic needs to fall within the rejection regions that are above and below the critical z-score associated with a 1% level of significance in order to reject the null hypothesis. Otherwise, we will fail to reject the null hypothesis.

1

Points

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The correct ways to describe the set of nonnegative integers less than or equal to 100 that are perfect cubes are {0, 1, 8, 27, 64}, {1, 8, 27, 64} So correct option are a. and d.

Integers are a set of numbers that includes all positive and negative whole numbers (including zero), as well as their opposites. Integers can be represented on the number line, with positive integers to the right of zero and negative integers to the left of zero.

The correct ways to describe the set of nonnegative integers less than or equal to 100 that are perfect cubes are:

a. {0, 1, 8, 27, 64}

d. {1, 8, 27, 64}

Option a contains all the perfect cubes less than or equal to 100, including 0.

Option d contains the perfect cubes greater than 0 and less than or equal to 100.

Option b is not correct because it describes the set of integers x that satisfy x^3 = y, where y is a nonnegative integer not exceeding C. This set includes all the integers whose cubes are nonnegative integers not exceeding C, not just the perfect cubes less than or equal to 100.

Option c is not correct because it describes the set of integers x that are perfect cubes and also satisfy 0 < x < 100. This set includes all the perfect cubes, not just the ones less than or equal to 100.

Option e is not correct because it includes integers that are not perfect cubes.

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Answer:

Thats for question number 4 and 5, i don't know for 3

A statistical question that can result in numerical data is How many times did you go swimming this year? So, the correct option is A).

The statistical question that can result in numerical data is "How many hours this week did you spend on homework?" and "How many times did you go swimming this year?".

These questions involve counting or measuring quantities, which can be represented using numerical data. The other two questions do not involve numerical data and therefore cannot be considered statistical questions that result in numerical data. So, the correct answer is B).

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Answer:

How many pink erasers do the students in your class have?

The scale factor used is:

1 centimeter equals half millimiter.

The scale factor tells us how many units in the sculpture represent a real unit.

We know that:

Real length = 9mm

Length in the sculpture = 18cm

Then we have the relation between the lengths:

18cm = 9mm

Dividing both sides by 18 we will get:

1cm = 9mm/18

1cm = 0.5mm

So the scale is 1 centimeter equals half millimiter.

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9. The regression line is given as follows: y = 8.5x + 3.7.

10. The estimate for 2022 is given as follows: 71.7 million dollars.

The regression line is obtained inserting the points of the table into a linear regression calculator.

From the table, the points are given as follows:

(1, 13), (2, 19), (3, 31), (4, 36), (5, 47).

(considering x as the number of years since 2014).

Inserting these points into a calculator, the equation is given as follows:

y = 8.5x + 3.7.

2022 is 8 years after 2014, hence the estimate is given as follows:

y = 8.5(8) + 3.7 = 71.7 million dollars.

(numeric value at x = 8, replace the lone instance of x by 8).

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Answer:

B. Fixed fee for Company B is greater than Company A

Step-by-step explanation:

Company A:

A(n) = $0.99 + $0.25n

The function above is given in slope-intercept form, A(n) = mx + b (rewritten as A(n) = b + mx)

The unit rate (m) = per minute fee = $0.25

Fixed fee (b) = $0.99)

Company B: let's find the fixed fee (b), which is the y-intercept.

The y-intercept is the point on the y-axis where the line intercepts the y-axis.

If we draw a straight line, we would observe that the y-intercept (b) would be between 1.20 and 1.40.

Therefore, fixed fee for Company B would be between $1.2 and $1.4. this is greater than the fixed fee for Company A, which is $0.99.

Therefore, the statement that must be true is:

B. Fixed fee for Company B is greater than Company A

Answer: It would be the first one (20 pens for 8$)

Step-by-step explanation: If you divide 20 by 8 then each pencil will be 2.50$. However if you divide 30 by 10 it will be 3 dollars for each pencil so the first deal will be better since you spend less money.

We have the following data for an investment:

• A0 = initial amount of money ($) invested = 1500.00,

• r = interest rate in decimal = 3%/100% = 0.03,

• the interest is compounded quarterly.

Q) We want to know how much money will be in the account at the end of one year.

A) To calculate the amount of money after n years with an interest rate in decimal r, we can use the following formula:

Because we want to know the amount of money after one year, we must use n = 1. Replacing the data of our problem in the equation above we get:

Answer

A. $1,545.51