For males in a certain town, the systolic blood pressure is normally distributed with a mean of 125 and a standard deviation of 8. Using the empirical rule, what percentage of males in the town have a systolic blood pressure between 109 and 141?

Answer:

3 unless you're adding onto the 12 kilograms, then only 1

Step-by-step explanation:

Answer: she can buy it for 5 friends

Step-by-step explanation:

$35(budget)- $15(craft booth) =$25

then $25 divided by $4 equals 5

So 5 people she can but for.

The area of the triangle is approximately 59.67 square units.

Find the area of a triangle with a 99-degree angle and adjacent sides of 11. To do this, we'll use the formula for the area of a triangle with known sides and an included angle, which is:

Area = (1/2) * side1 * side2 * sin(angle)

In this case, both adjacent sides have a length of 11, and the included angle is 99 degrees. First, we need to convert the angle from degrees to radians, since the sin function in most calculators uses radians:

Radians = (99 degrees) * (π/180) ≈ 1.727 radians

Now, we can plug the values into the formula:

Area = (1/2) * 11 * 11 * sin(1.727 radians)

Calculate the sine of the angle:

sin(1.727 radians) ≈ 0.9848

Multiply the values together:

Area = (1/2) * 11 * 11 * 0.9848 ≈ 59.6696

So, the area of the triangle is approximately 59.67 square units. Remember to round your final answer to an appropriate number of decimal places depending on the context.

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To find the horizontal distance between points A and T, we need to subtract the difference in elevations from the measured slope distance.

The horizontal distance (d) can be found using the following formula:

d = \(\sqrt{(slope distance)^{2}- (elevation difference)^{2} }\)

Let's calculate the horizontal distance:

Elevation difference = Elevation at T - Elevation at A

                                 = 884.21 feet - 872.17 feet

                                 = 12.04 feet

d = \(\sqrt{(3307.97)^{2}- (145.21)^{2} }\)

  ≈ 3307.92 feet

Therefore, the horizontal distance between points A and T is approximately 3307.92 feet.

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Answer:

a. 42

b. -12x-5

c. -60

d. -75

e. 66

f. -90

g. 144

h. -135

Answer:

B. f(n) = 56(0.5)^n-1

Step-by-step explanation:

 First, You have to find out the starting population, if you look at the problem you see the population starts at 56

f(x) = 56

Second, you know that the population goes down 50% each week so it has a decay of 0.5

f(x) = 56(0.5)

 Third,  you need to add the exponent of n to make it exponential.  But, if you just add n then the the population would be 28 on week 1 which is incorrect. To fix that you make the exponent n-1 so when you are on week 1 it doesn't become 28 but it stays on 56, and on week 2 it's 28, ect

f(x) = 56(0.5)^n-1

Answer:

(1,3)

Step-by-step explanation:

Given system of equations is :-

We can solve this by using substitution method by substituting the value of y from equation (1) into equation (2) as ,

2x + 1 = x + 2

Subtract x on both sides,

2x - x + 1 = 2

Simplify,

x = 2 - 1

x = 1

Substitute this value of x into equation (2) as ,

y = 1 + 2

y = 1 + 2

y = 3

Hence the required answer is (1,3) .

and we are done!

Answer:

27

Step-by-step explanation:

One face of the cube is 9 square cm (54/6). So the length of an edge is 3 cm.

3x3x3 = 27

Answer:

Hey there! The answer's 'no' :)

Step-by-step explanation:

"On the first level, she earned 3 energy points and 8 stars."

The ratio of energy points to stars is 3:8 - we can't simplify this any more, so leave it at that.

"On the second level, she earned 2 energy points and 5 stars."

The ratio here is 2:5. We also can't simplify this.

By this, we can conclude that no, 3:8 and 2:5 aren't the same ratio!

Answer:

10 times 5 =50 (2.69 x 50) = 134.5

10 times 3=30 (1.21x30)= 36.3

Step-by-step explanation:

The difference between the area of Texas and Rhode Island in square miles and scientific notation should be (2.68 × 10⁵) square miles.

Area of Texas = (2.69 × 10⁵) square miles = 269000 square miles

Area of Rhode Island = (1.21 × 10³) square miles = 1210 square miles

Now

Difference between the Area of the Texas and Rhode Island should be

= 269000 - 1210

= 267,790 square miles

= (2.68 × 10⁵) square miles.

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Step-by-step explanation:

perimeter = 2πr = 2× 3.14× 3 = 18.84 cm

Answer:

4

Step-by-step explanation:

i belive this is the answer becuase 3 divided by (3/4)

The grounded ends of the guy wires are 15 meters apart.

Using the Pythagorean theorem, we can calculate the length of the base (distance between the grounded ends of the guy wires).

Let's denote the length of the base as 'x.'

According to the problem, the height of the tower is 20 meters, and the length of each guy wire is 25 meters. Thus, we have a right triangle where the vertical leg is 20 meters and the hypotenuse is 25 meters.

Applying the Pythagorean theorem:

x² + 20² = 25²

x² + 400 = 625

x² = 225

x = √225

x = 15

Therefore, the grounded ends of the guy wires are 15 meters apart.

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a) We reject the null hypothesis and conclude that at least one βj is not equal to 0, indicating that the slope is different for at least one social class.

b)  The model assumes that the relationship between Y and X1 is linear for all social classes, which may not be true.

(a) To create indicator variables for social class, we can define three binary variables as follows:

X2_1 = 1 if natural parents' social class is highest, 0 otherwise

X2_2 = 1 if natural parents' social class is middle, 0 otherwise

X2_3 = 1 if natural parents' social class is lowest, 0 otherwise

Then, we can write the regression model as:

Y = β0 + β1X1 + β2X2_1 + β3X2_2 + β4X2_3 + ε

where β0 is the intercept for the reference category (in this case, the lowest social class), β1 is the slope for X1, and β2, β3, and β4 are the differences in intercepts between the highest, middle, and lowest social classes, respectively, compared to the reference category.

Interpretation of each term in the model:

β0: The intercept for the lowest social class, representing the average IQ score for twins raised in foster homes whose natural parents belong to the lowest social class.

β1: The slope for X1, representing the expected change in Y for a one-unit increase in X1, holding X2 constant.

β2: The difference in intercept between the highest and lowest social classes, representing the expected difference in average IQ score between twins raised in foster homes whose natural parents belong to the highest and lowest social classes, respectively, holding X1 and X2_2 and X2_3 constant.

β3: The difference in intercept between the middle and lowest social classes, representing the expected difference in average IQ score between twins raised in foster homes whose natural parents belong to the middle and lowest social classes, respectively, holding X1 and X2_1 and X2_3 constant.

β4: The difference in intercept between the highest and middle social classes, representing the expected difference in average IQ score between twins raised in foster homes whose natural parents belong to the highest and middle social classes, respectively, holding X1 and X2_1 and X2_2 constant.

To test the theory that the slope is the same for all three social classes, we can perform an F-test of the null hypothesis:

H0: β2 = β3 = β4 = 0 (the slope is the same for all three social classes)

versus the alternative hypothesis:

Ha: At least one βj (j = 2, 3, 4) is not equal to 0 (the slope is different for at least one social class)

The general form of the test statistic is:

F = MSR / MSE

where MSR is the mean square regression, defined as:

MSR = SSR / dfR

and MSE is the mean square error, defined as:

MSE = SSE / dfE

SSR is the sum of squares regression, SSE is the sum of squares error, dfR is the degrees of freedom for the regression, and dfE is the degrees of freedom for the error.

Under the null hypothesis, the F-statistic follows an F-distribution with dfR and dfE degrees of freedom. We can use an F-table or statistical software to determine the critical value for a chosen significance level (e.g., α = 0.05) and compare it to the calculated F-statistic. If the calculated F-statistic exceeds the critical value, we reject the null hypothesis and conclude that at least one βj is not equal to 0, indicating that the slope is different for at least one social class.

(b) The model assumes that the relationship between Y and X1 is linear for all social classes, which may not be true. We can check the linearity assumption

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Answer:

Step-by-step explanation:

To create indicator variables for social class, we can define three binary variables: X2_1, X2_2, and X2_3, where X2_1 = 1 if the social class is highest, 0 otherwise; X2_2 = 1 if the social class is middle, 0 otherwise; and X2_3 = 1 if the social class is lowest, 0 otherwise.

The mathematical form of the regression model can then be written as:

Y = β0 + β1X1 + β2X2_1 + β3X2_2 + β4X2_3 + ε

where β0 represents the intercept for the reference category (e.g. X2_1 = 0, X2_2 = 0, X2_3 = 0), β1 is the slope for X1, and β2, β3, and β4 are the differences in intercepts between the reference category and the other social classes.

To test the theory that the slope is the same for all three social classes, we can use an F-test. The null hypothesis is that the slopes for all three social classes are equal (β1 = β2 = β3), and the alternative hypothesis is that at least one slope is different. The test statistic is computed as the ratio of the mean square for regression (MSR) to the mean square for error (MSE), which follows an F-distribution with degrees of freedom (3, 23) under the null hypothesis. If the calculated F-value exceeds the critical value from an F-distribution table, we reject the null hypothesis and conclude that at least one slope is different.

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Answer:

It is the first one. A 3/4 / x  =  1mile/ 5280 ft.

Step-by-step explanation:

Answer:

is the first one. A 3/4 / x  =  1mile/ 5280 ft.

Step-by-step explanation:

Groups not counted as unemployed in the official unemployment statistics are the underemployed and discouraged workers.

A discouraged worker is someone who can work and is qualified for employment but is not already working and has not looked for work in the past four weeks. Discouraged workers typically have given up looking for work because they have discovered no relevant employment possibilities or have not been successful in getting a job after applying.

Discouragement among employees has a wide range and complex root causes. Because they lack the skills to deal with technological change at work, workers occasionally leave the workforce. During the Great Recession, the manufacturing industry let go of senior workers who were unable to operate the modern computer numeric control (CNC) equipment, which was used to cut wood and other hard materials.

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Answer:

Step-by-step explanation:

Step-by-step explanation:

I have shown all the steps of obtaining the value of X in the picture above therefore the value of x is 22 which means the answer iisD

Answer:

C. Add the exponents

Step-by-step explanation:

The given expression is presented as follows;

6·x·y²·z⁴·2·x²·y⁵·z

The expression can be rearranged by according to like terms as follows;

6·2·x·x²·y²·y⁵·z⁴·z = 3·2·2·x·x²·y²·y⁵·z⁴·z

By the law of indices, we add the exponents of the like terms to simplify the expression as follows;

3·2·2·x·x²·y²·y⁵·z⁴·z = 3·2⁽¹⁺¹⁾·x⁽²⁺¹⁾·y⁽⁵⁺²⁾·z⁽⁴⁺¹⁾ = 3·2²·x³·y⁷·z⁵

In order to simplify the expression the step Tim needs to use for each variable's exponent is to add the exponents.

The music teacher can split the class into groups of 8

8

or 12

12

. Each group will have the same amount of students. What is the smallest number of people that can be at music class?

answer 24 students

Answer:

I need help

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Answer: 33 degrees

Step-by-step explanation: Angle x=angle m

Answer:

the triangle on the left is named XYZ

the triangle on the right is named MNL

therefore ∠X ≅ ∠M, ∠Y ≅∠N, and ∠Z ≅ ∠L

since ∠X = 33º, then ∠M = 33º

hope this helps :)

Answer:

y=4x-14

Step-by-step explanation:

m=(10-2)/(6-4)

m=8/2

m=4

y-y1=m(x-x1)

y-2=4(x-4)

y=4x-16+2

y=4x-14

The relative minimum are

To find the relative minimum, the point has to satisfy the following conditions

So, at point A, we see that the tangent is not equal to zero, so it is not a minimum point

At point B, we see that the tangent equals zero but it is decreasing so it is not a minimum point

At point C, we see that the tangent is not equal to zero but negative so it is not a minimum point

At point D, we see that the tangent is equal to zero and it is increasing, so it is a minimum point

At point E, we see that the tangent equals zero but it is decreasing so it is not a minimum point

At point F, we see that the tangent is equal to zero and it is increasing, so it is a minimum point

at point G, we see that the tangent is not equal to zero and it is increasing, so it is not a minimum point

So, the only points that satisfy the condition for minimum point are Points D and point F

So, the relative minimum are

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Answer:

distance: 2

midpoint: -4,-3

Answer:

Step-by-step explanation:

56.1,12.1,23.6