On a nationwide test by high school students, the mean score was 52 and the standard deviation was 11. The scores were normally distributed. Complete the following statements ( Choose the correct answers(68%,75%,95%,99.7%)

Answer:

8/2

Step-by-step explanation:

7.5 is 8 halves and its over 2 because that's how many halves there are

Answer:The 99% confidence interval is

To find the 99% confidence interval for the mean systolic blood pressure (SBP) level, we use the formula:

CONFIDENCE INTERVAL = Mean ± Z * (Standard Deviation / √n)

Where:

Mean is the sample mean of SBP

Z is the Z-score corresponding to the desired confidence level

Standard Deviation is the population standard deviation

Explanation:

Given that the sample size is 13 and the standard deviation is 10, we need to calculate the sample mean and the Z-score for the 99% confidence level.

First, we calculate the sample mean:

Mean = (129 + 134 + 142 + 114 + 120 + 116 + 133 + 142 + 138 + 148 + 129 + 133 + 140) / 13

= 1724 / 13

≈ 132.62

Next, we need to determine the Z-score for a 99% confidence level. The Z-score can be found using a Z-table or a statistical calculator. For a 99% confidence level, the Z-score is approximately 2.576.

Now, we can calculate the confidence interval:

Confidence Interval = 132.62 ± 2.576 * (10 / √13)

132.62 ± 2.576 * (10 / 3.6056)

≈ 132.62 ± 2.576 * 2.771

≈ 132.62 ± 7.147

Therefore, the 99% confidence interval for the mean SBP level is approximately (125.47, 139.77).

Answer:

D

Step-by-step explanation:

We can first eliminate options A and B because they are both negative slopes and the graph shown is an increasing slope, meaning the answer is positive.

Next, we calculate the slope with the formula (y2 - y1) / (x2 - x1) to get 1/4.

1/4 is the slope.

Answer:

A

Step-by-step explanation:

Read the article and review the phases of mitosis.

Mitosis

What are the four phases of mitosis?

prophase

metaphase

anaphase

telophase

cytokinesis

Answer:

5/24.

Step-by-step explanation:

2/6 of 5/8 were beginners and girls

= 1/3 * 5/8

= 5/24.

50 apartments were randomly chosen by our pupils. We found 26 residences with owners. We could use this to determine our sample proportion, by the way. It will come out to 26 out of 50 and.52. We're going to conduct an experiment to test the hypothesis that your neighborhood's owner-occupied home percentage differs from the national average.

The null hypothesis will be the outcome of the test. The null hypothesis states that 69 is the actual proportion. The alternative is an alternate theory. We are endeavoring to determine whether the community is different from the country, per the inquiry. I'll concede that the actual ratio is not 0.69. It is necessary to find the test statistic. We are permitted to utilize the calculator function in the tests because this is an example Z test. Yes, a window. We could locate the single proportion Z if we went to the tests and clicked the stat. It's basically a test. The Christmas component cost 69 dollars. Out of 50 samples, 26 have resulted in success.

In our alternative, the true percentage is different from.69, therefore proportion does not equal zero proportion. A negative Z score of 2.599 will be the outcome in the end. The window gives us a p value of 9. We'll choose a resolution. We will compare the p value to our significance level. It doesn't specify the degree of relevance for this problem. We'll only use 5%. So, if our p value is less than the significance level, we would reject the null hypothesis, right? The sample proportion must be obtained. If the null hypothesis is true, it would be extremely rare, since our community has more owner-occupied homes than the national average, according to the data.

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Answer:

50%

Step-by-step explanation:

35-70=-35/70=0.5x100=50

Answer:

50%

Step-by-step explanation:

because 70/35 is 2. And if 70 books are 100%, the 35 would be 50%.

The general solution for Py"(t) + 9ry'(t) + 17y(t) + 3ty'(t) + 5y(t) = 0 is y(t) = c1 e^(r1t/P) + c2 e^(r2t/P), where c1 and c2 are constants and r1 and r2 are the roots found above.


15. To find the general solution for y'(t) - y(t) + 5y(t) = 0, we first need to find the characteristic equation. The characteristic equation is r - 1 + 5 = 0, which simplifies to r + 4 = 0. Therefore, the characteristic roots are r1 = -4.

The general solution for y'(t) - y(t) + 5y(t) = 0 is y(t) = c1 e^(-4t), where c1 is a constant.

16. To find the general solution for y"(t) + 3ty'(t) + 6y(t) = 0, we first need to find the characteristic equation. The characteristic equation is r^2 + 3tr + 6 = 0, which has the roots r1 = (-3t + i sqrt(3))/2 and r2 = (-3t - i sqrt(3))/2.

The general solution for y"(t) + 3ty'(t) + 6y(t) = 0 is y(t) = c1 e^((-3t + i sqrt(3))/2) + c2 e^((-3t - i sqrt(3))/2), where c1 and c2 are constants.

17. To find the general solution for Py"(t) + 9ry'(t) + 17y(t) + 3ty'(t) + 5y(t) = 0, we first need to rearrange the equation as Py"(t) + (3t + 9r)y'(t) + (17 + 5P)y(t) = 0.

Then, we find the characteristic equation, which is Pr^2 + (3t + 9r)r + (17 + 5P) = 0. The roots of this equation are given by the quadratic formula:

r1 = (-3t - 9r + sqrt((3t + 9r)^2 - 4P(17 + 5P)))/(2P)
r2 = (-3t - 9r - sqrt((3t + 9r)^2 - 4P(17 + 5P)))/(2P)

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This is an expression

This means that there is no answer, n+6 is as is until given more information

Answer:

either d or b???

The answer of the given question based on the equation problem is , one coin is worth 5 points and one gem is worth 11 points.

An equation is the  mathematical statement that shows  equality between the two expressions. It consists of two parts: the left-hand side (LHS) and the right-hand side (RHS), separated by an equals sign (=). The LHS and RHS may contain one or more variables, constants, mathematical operations, and functions.

Let's denote the value of one coin by x and the value of one gem by y. We can set up two equations based on the given information:

3x + 5y = 70 (equation 1)

6x + 2y = 52 (equation 2)

We can use these equations to solve for x and y. One way to do this is to multiply equation 2 by 5 and subtract it from equation 1 multiplied by 2:

6x + 10y = 140 (equation 1 multiplied by 2)

-30x - 10y = -260 (equation 2 multiplied by 5, with signs flipped)

-24x = -120

x = 5

Now that we know that one coin is worth 5 points, we can substitute this value into either of the original equations to solve for y. Let's use equation 1:

3(5) + 5y = 70

15 + 5y = 70

5y = 55

y = 11

Therefore, one gem is worth 11 points.

In summary, one coin is worth 5 points and one gem is worth 11 points.

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Answer:

10 degrees

Step-by-step explanation:

8x = 2x + 60

6x = 60

x = 10

Hey there!

The answer to your question is z > -4

We can solve this like it is an equation, with one exception. When you divide or multiply by a negative number, in an inequality, you have to flip the inequality sign.

-2z - 3 < 5           add 3 to both sides

     -2z < 8          divide both sides by -2, and flip the inequality sign

         z > -4      

Good luck! Hope it helps, and have a great day!

Answer:

The answer  is z > -4

but a line down were is the (>)

I ready!

holpe it help

Answer:

48,384

Step-by-step explanation:

5xy.y2+36z

the variables are given to you.

5.1/4.8.8.2.36.2/3=

5.1=5.25

5.25.8=42

(assuming your doing multiplication and not factoring)

Answer:

I think -1/3

Step-by-step explanation:

Its negative bc the line is moving from left to right

Take 2 points from the line.

At the origin, (0,0)

And (6,-2) a point in fourth quadrant

m = y2 - y1

x2 - x1

m = -2 - 0

6 - 0

m = -1/3.

The 3rd option is the correct option.

The probability that the moderate number of moths in 60 traps is more significant than 0.4 is approximately 0.9738 or 97.38%.

(a).

The mean number of moths =  60 traps

Now, the properties of normal distribution and central limit theorem are used.

mean of the individual moth counts = 0.5.

The standard deviation = the Standard deviation of the individual moth counts, divided by the square root of the sample size.

standard deviation = (0.7 / \(\sqrt{60}\))

standard deviation = 0.0905

the mean number of moths and standard deviation of the average number of moths in 60 traps are 0.5 and 0.0905.

(b) .

By using the central limit theorem

The average number of moths in 60 traps = 0.4

The z-score formula is to be calculated by using:

Z = (sample mean - population mean) / (standard deviation/sqrt (sample size))

Substituting the given values, we have:

Z = (0.4 - 0.5) / (0.7 / sqrt(60))

Z = -1.94

The probability of a Z-score greater than -1.94 is approximately 0.9738.

Hence, we can conclude that the probability that the average number of moths in 60 traps is greater than 0.4 is approximately 0.9738.

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Answer:

Hi! The answer to your question is 1

Step-by-step explanation:

☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆

☆Brainliest is greatly appreciated!☆

Hope this helps!!

Stay Safe!!!

- Brooklynn Deka

A function assigns the values. The value of (5r+1/5)² when the value of r is 0 equals 0.04.

A function assigns the value of each element of one set to the other specific element of another set.

Given the function g(r)=(5r+1/5)², therefore, the value of the function when r=0 will be,

g(r) = (5r+1/5)²

g(0) = [5(0)+1/5]²

g(0) = (1/5)²

g(0) = 1/25

g(0)=0.04

Hence, the value of (5r+1/5)² when the value of r is 0 equals 0.04.

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Answer:

it is -11

Step-by-step explanation:

first thing you do is subtract 64 minus 75 and that will be the answer

Answer:

-11

Step-by-step explanation:

64-75=-11

hope i helped :)

The length of the missing leg of the right triangle is 8sqrt(5) inches. To find the length of the missing leg of the right triangle, we can use the Pythagorean theorem.

It states that in a right triangle, the sum of the squares of the lengths of the legs is equal to the square of the length of the hypotenuse. This is Pythagorean theorem

In this case, we know that one leg measures 8 inches, and the hypotenuse measures 12 inches. Let's call the missing leg x, then we have:

8^2 + x^2 = 12^2

Simplifying, we have:

64 + x^2 = 144

Subtracting 64 from both sides, we get:

x^2 = 80

Taking the square root of both sides, we get:

x = sqrt(80)

Simplifying, we get:

x = 8sqrt(5)

Therefore, the length of the missing leg of the right triangle is 8sqrt(5) inches.

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To solve this question, follow the steps:

1) Draw the segment AB = 5.5 cm using a ruler.

2) Draw the segment BC knowing that the angle ABC is 90º.

3) Draw the segment AC knowing that the angle BAC is 60º.

4) Connect the segments BC and AC.

5) Measure the length of AC using a ruler.

The triangle can be observed below:

Answer: the length of the segment AC is 11 cm.

This is the quarterly interest rate on the account. Rounded to four decimal places, the base of the exponential expression is 1.032.

To rewrite the function representing account C to reveal the quarterly interest rate on the account, we can rewrite the function in the form:

C(t) = C0\((1 + r)^{(nt)}\)

Where C0 is the initial amount of money in the account, r is the periodic interest rate, and nt is the number of periods over which the interest is compounded.

Substituting the values in the function,

3,000\((1.032)^{2t}\) = C0\((1 + r)^{(2t)}\)

Dividing both sides by C0, we get:

\((1.032)^{2t}\) = \((1 + r)^{(2t)}\)

Applying logarithms on both sides,:

2tln(1.032) = 2tln(1 + r)

Solving for r, we get:

r = ln(1.032)/2 = 0.0159/2 = 0.00795

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Answer:

x=3

y=-10

Step-by-step explanation:

Observe graph carefully , the intersection point on x axis is 3 and intersection point on y axis is -10

This indicates that after accounting for the inflation rate of 7%, the purchasing power of the $1,000 investment decreased by approximately 1.92%.

The real rate of return represents the rate of return adjusted for inflation, which reflects the purchasing power of the investment. To calculate the real rate of return, we subtract the inflation rate from the nominal interest rate.

In this case, the nominal rate of interest is 5 percent, but prices have actually risen by 7 percent, indicating an inflation rate of 7 percent. Therefore, the real rate of return can be calculated as follows:

Real rate of return = Nominal interest rate - Inflation rate

Real rate of return = 5% - 7%

Real rate of return = -2%

The negative sign indicates that the purchasing power of the investment has decreased. To express the real rate of return as a positive value, we take the absolute value, resulting in approximately 2%. Therefore, Gladys earned a real rate of return of approximately -2% or -1.92% (rounded to two decimal places).

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The virtual condition for the .376² MMC pin with a perpendicularity tolerance of .008² diameter at MMC is approximately .001131.

To determine the virtual condition for a .376² MMC (Maximum Material Condition) pin with a perpendicularity tolerance of .008² diameter at MMC, we need to calculate the tolerance zone.

The perpendicularity tolerance specifies the allowable deviation of the pin from a perfect perpendicular orientation. The tolerance zone is defined as a cylindrical volume around the pin, with a diameter equal to the perpendicularity tolerance.

In this case, the perpendicularity tolerance is given as .008² diameter at MMC. Since the diameter at MMC is .376², we can calculate the tolerance zone as follows:

Tolerance zone = .008² * .376²

Simplifying the calculation:

Tolerance zone = .008 * (.376 * .376)

Tolerance zone = .008 * .141376

Tolerance zone = .001131

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Multiplication and division of regular numbers are the same as fractions and we will learn them with the multiplication and division of rational numbers worksheet.

To do the multiplication, first find the greatest common divisor of the numerator and the denominator. The factors are then grouped together so that the score equals one. Then multiply by the remaining factors. To divide, first rewrite the division as multiplication by the inverse of the denominator.

Cuemath's interactive math worksheets contain visual simulations to help your child visualize the concepts being taught, "see things as they really are, and reinforce learning from them". The Rational Numbers Multiplication and Division Worksheet follows a step-by-step learning process that helps students better understand concepts, identify errors, and eventually develop strategies for solving future problems.

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Answer:

8

Step-by-step explanation:

let rach age be x

grandpa =7x+19

grandma=9x+3

9x+3=7x+19

9x-7x=19-3

2x=16

x=8

Rachael's age will be, 8 years.

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Let us assume that Rachael's age will be, x

Hence, We can formulate;

Age of grandpa = 7x + 19

Age of grandma = 9x+3

Here, Rachael's grandma and grandpa are the same age.

Hence, We get;

⇒ 9x + 3 = 7x + 19

⇒ 9x - 7x = 19 - 3

⇒ 2x = 16

⇒ x = 8

Thus,  Rachael's age will be, 8 years

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Holy will take 13/5 or 2.6 hours to finish the bookcase.

The relation between time and work is

Work Done = Time Taken × Rate of Work ·

or, Rate of Work = 1 / Time Taken ·

or, Time Taken = 1 / Rate of Work ·

Now it is given that,

Time taken by Fritz to build a bookcase =  8 hours

So, Bookcase build by Fritz in 1 hour = 1/8

Similarly,

Time taken by Holly to build a bookcase =  10 hours

So, Bookcase build by Holly in 1 hour = 1/10

So, bookcase build in 3 hours

Fritz = 3/8

Holly = 3/10

Total bookcase build in 3 hours =  3/8 + 3/10 =  27/40

So. remaining work =  1 - 27/40 =  13/40

Thus, Time taken by Fritz to complete the bookcase =  8 * (13/40) hours

                                                                                         =  13/5 or 2.6 hours

Thus, Holy will take 13/5 or 2.6 hours to finish the bookcase.

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Answer:

16,384

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

2( 3/2 )/ 3/9 =9 Put Substitute 3/2 for m and put into a calculator.