You have measured the systolic blood pressure of a random sample of 25 employees of a company located near you. A 95% confidence interval for the menu systolic blood pressure for the employees of this company is (122, 138). Which of the following statements gives a valid interpretation of the confidence level?a. 95% of the sample of employees have a systolic blood pressure between 122 and 138.b. 95% of tire population of employees have a systolic blood pressure between 122 and 138c. If the procedure were repeated many times, 95% of the resulting confidence intervals would contain the population means systolic blood pressure.d. The probability that the population mean blood pressure is between 122 and 138 is .95

Answer:

Step-by-step explanation:

the area of the circle A= 3.14*r^2

diameter is 6, radius is 6/2=3

it is choice 2

A=3.14*3^2

9514 1404 393

Answer:

  π/3

Step-by-step explanation:

The given integral does not exist. We assume there is a typo in the upper limit, and that you want the integral whose upper limit is (√3)/2.

It is convenient to make the substitution ...

  x = sin(y) . . . . so, y = arcsin(x)

 dx = cos(y)·dy

Then the integral is ...

  [tex]\displaystyle\int_0^{\sqrt{3}/2}{\dfrac{\cos{y}}{\sqrt{1-\sin^2{y}}}}\,dy=\int_0^{\sqrt{3}/2}{dy}=\left.\arcsin{x}\right|\limits_0^{\sqrt{3}/2}\\\\=\arcsin{(\sqrt{3}/2)}=\boxed{\dfrac{\pi}{3}}[/tex]

Answer:

Are directly proportional

Answer:

expression 3

because expression 1 = 1

and expression 2 = 7

Answer:

perimeter is the total length of all the sides. So 2x+2x+10 =4x+10=2x+5

Answer:

Step-by-step explanation:

and threw up after yes

Answer:

252 sq. in.

Step-by-step explanation:

divide it into sections like this

12*15=180

3*6=18

6*9=54

then add it all together. sometimes it is more complicated, but as long as none of the divided parts overlap this will be correct for any shape, as long as you account for the whole shape.

[tex]2(4x + 3) + 4(3x - 1)[/tex]

[tex] = (8x + 6) + (12x - 4)[/tex]

[tex] = 8x + 6 + 12x - 4[/tex]

[tex] = (8x + 12x) + (6 - 4)[/tex]

[tex] = 20x + 2[/tex]

Answer:

8x+6+12x-4= 0

20x+2= 0

20x=-2

20x/20= -2/20

x= -1/10

Answer:

3

Step-by-step explanation:

1/3 yard lengths times 3 equals 3 (or 1 yard).

There are 3 numbers of  1/3 yard lengths are in 1 yard.

A summation, which is the result of adding two or more numbers or quantities, is also known as a sum.

A mathematical operation known as subtraction involves two values that will be subtracted to produce a new value.

Multiplication is the general procedure in mathematics in which we multiply two or more numbers to each other to find a new multiplied number.

Division is divide of any two numbers so it will give a new divided value for example 4/2 will gives us 2.

1 yard = 1/3 yard +  1/3 yard +  1/3 yard

The lowest common multiple of the right hand will be 3

So,

1 yard = (1 + 1 + 1)/3 yard

1 yard = 3/3 yards

1 yard = 1 yard

Hence in 1 yard, there is a total of 3 numbers of 1/3 yards.

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A. $ 58.50

B. $ 80

C. No, it did not mark up 30%.

Step-by-step explanation:Since,

A. We have,

Mark up percentage = 30%

Actual price = $ 45,

B. We have,

SP = $ 104,

C.  We have,

AP = $ 75,

SP = $100,

Thus, mark up percentage =

= 33.33 %

Hence, store did not mark up the price by 30%.

Answer:

15) For a regular polygon of N sides, the measure of one interior angle is:

A = (N -  2)*180°/N

In this case, the figure has 11 sides, then we have N = 11, and the measure of each interior angle will be:

A = (11 - 2)*180°/11

A = 9*180°/11 = 147.27°

Rounding to the first decimal after the decimal point, we get:

A = 147.3°

Then the correct option is B.

16) We know that the length of all the sides of a square is the same.

In the image, we can see that the length of the right side is 4, and the length of the top side is 2x + 4

And those lengths must be the same, then we have the equation:

2x + 4 = 4

subtracting 4 in each side of the equation we get:

2x + 4 - 4 = 4 - 4

2x = 0

The only solution for this equation is x = 0.

Then the correct option is C

Given:

[tex]g(x)=f(x+11)[/tex]

To find:

The correct statement for the given transformation.

Solution:

The translation is defined as

[tex]g(x)=f(x+a)+b[/tex]                .... (1)

Where, a is horizontal shift and b is vertical shift.

If a>0, then the graph shifts a units left and if a<0, then the graph shifts a units right.

If b>0, then the graph shifts b units up and if b<0, then the graph shifts b units down.

We have,

[tex]g(x)=f(x+11)[/tex]            ... (2)

On comparing (1) and (2), we get

[tex]a=11>0[/tex]

So, the graph of f(x) translated 11 units to the left.

Therefore, the correct option is A.

Answer:

(x+2)(x-1/3)(x-3)

Step-by-step explanation:

This could be a possible equation, the signs of the of the roots are always the opposite in the equation form.

Answer:

Heidi made $15.90 total

The statement that the two triangles are similar based on the given figure is false.

Two triangles are said to be similar if the triangles are of the same shape but different size. The angles of the triangle will be equal and the sides are proportional.

So, we know that two similar triangles will have all the corresponding angles equal to each other.

Given two triangles EFG and HJK.

Also, given that,

EG = 8 and HK = 16

EG/ HK = 8/16 = 1/2

∠E = ∠H = 90°

There are no other information given.

If one more corresponding angles are equal, we can use ASA, AAS or AA property, and if one more corresponding side are proportional, we can use SAS postulate.

In this case, we cannot say two triangles are similar.

Hence the statement is false.

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Answer:

you're right!! its C

Step-by-step explanation:

For lines to be perpendicular, the multiplied slopes of the line need to be -1, so

y=1/3x-1

y=-3x-4

(1/3)*(-3)=-1

therefore, they are perpendicular

Answer:

3.6 = a

Step-by-step explanation:

5.4 = a - ( -1.8)

5.4 = a + 1.8

5.4 - 1.8 = a

3.6 = a

Answer:

9 yards

Step-by-step explanation:

36 divided by 4 = 9

The length of each side is 9 yards.

A closed shape's perimeter is the sum of the lengths of its outside boundaries. The lengths of all the sides are added to determine the measurement.

Given:

The perimeter of the square below is 36 yards.

The length of each side,

= perimeter/ number of sides.

= 36/4

= 9 yards.

Therefore, each side is 9 yards.

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Answer:

The range of [tex]f\circ g \,(x) = 2^{x+1}[/tex] is [tex]Ran\{f\circ g\,(x)\} = (0, +\infty)[/tex].

Step-by-step explanation:

Let [tex]f\circ g \,(x) = 2^{x+1}[/tex], [tex]\forall\, x \in \mathbb{R}[/tex]. The graphic represents a power function, whose lower bound is the horizontal asymptote [tex]y=0[/tex]. From the graphic we find the range of the composite function corresponds to the values of the function associated with the vertical axis (y-axis).

Hence, the range of [tex]f\circ g \,(x) = 2^{x+1}[/tex] is [tex]Ran\{f\circ g\,(x)\} = (0, +\infty)[/tex].

Answer:  

✔ y > 0.

Step-by-step explanation:

edg 2021

Answer:

Step-by-step explanation:

Answer:

C: 12x squared

Step-by-step explanation:

the equation would look like [tex]2x^{2}[/tex] · [tex]6[/tex] or [tex]6(2x^{2})[/tex]

you only multiply the coefficients, leave the exponent alone for this one

so 2 times 6 would be 12 and the [tex]x^{2}[/tex] remains the same giving you [tex]12x^{2}[/tex]

Answer:

A

Step-by-step explanation:

i solved it

Answer:

700

Step-by-step explanation:

Answer:

120 Girls

Step-by-step explanation:

First, you have to combine the dark shade girls and the light shade girls together to get 7.

Then, you should divide 210 by 7, to get 30

Finally, using 30 as your multiplier,

you go and multiply 30 x 4 to get 120 girls :D

Answer: The sun supplies the energy (radiation) that drives the water cycle.

Step-by-step explanation:

Option A is wrong because the Sun does not evenly heat up the Earth. The Earth is spherical so the sun heats up some areas more than others.

Option B is wrong as well because the sun does not affect the land and the water the same way.

Option C is correct because radiation from the sun is what causes evaporation in the water cycle.

Option D is wrong because as shown in the first option, the sun does not evenly heat up the Earth.

Answer:

A

Step-by-step explanation:

P represents the page of number and she likes to read FEWER than 400 or equal to it. P < 400 says that she likes to read pages that are fewer or equal to 400 pages.

The inequality that represents the number of pages p is p ≤ 400.

Option A is the correct answer.

It shows a relationship between two numbers or two expressions.

There are commonly used four inequalities:

Less than = <

Greater than = >

Less than and equal = ≤

Greater than and equal = ≥

We have,

Number of pages = 400 or fewer

This means,

Number of pages ≤ 400

Thus,

p ≤ 400

where p is the number of pages.

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Answer:

Step-by-step explanation:

first 95 x 60 (60 because there is 60 minutes in an hour) then multiply that number by 10 then start ploting the numbers up for example it goes 57,000 then multiply that by 2 and keep ploting.

Answer:

780

Step-by-step explanation:

We want to use partial quotients in the division problem 858 ÷ 26.

In partial quotients method, what we do is to repeatedly subtract from the dividend easy multiples of the divisor.

In this case, the dividend is 858 and the divisor is 26.

Thus, the first easy multiple of the divisor we can use will be 30 because 30 × 26 = 780 yields the closest value to 858.

Therefore, the best choice for first number to subtract is 780

Answer: 780

Step-by-step explanation:

The best choice for the division problem will be 780.

Answer:

the slope is -2/3x and the y intercept is 1

Step-by-step explanation: