A staff member at UF's Wellness Center is interested in seeing if a new stress reduction program will lower employees systolic blood pressure levels. Twenty people are selected and have their blood pressure measured. Each person then participates in the stress reduction program. One month after the stress reduction program, the systolic blood pressure levels of the employees were measured again. Did the program reduce the average systolic blood pressure level? Note: Differences were taken by taking "before systolic blood pressure" minus "After blood pressure"

The 95% confidence interval was (5.6, 10.2).

A. On average, the blood pressure levels before the stress reduction program were significantly higher than the systolic blood pressure levels after the stress reduction program, at the 95% confidence level

B. We are 95% confident that there is no difference in average systolic blood pressure levels before and after the stress reduction program.

C. On average, the systolic blood pressure levels after the stress reduction program were significantly higher than the systolic blood pressure levels before the stress reduction program, at the 95% confidence level.

Answer:

Expression

Step-by-step explanation:

Given expression :

4a+3b-6cx9

So this is expression not equation because equation consist zero on the righ side

Example: ax+b=0 (This is equation )

And

ax+b (This is expression)

Answer:

x - 3

Step-by-step explanation:

Jenna picked x.

Josh picked 2x - 3.

The difference is:

2x - 3 - x

which simplifies to

x - 3

Answer: x - 3

Answer:

I think it's option B ...

Answer:

A.) F(x)=1/x-5

Step-by-step explanation:

Answer:

y=80

Step-by-step explanation:

when solve y-intercept let x=0

y= -16(0)2+64(0)+80

y=0+0+80

y=80

(0;80)

Answer:

2) slope=2

y intervept=2

3) slope=1/2

y intercept=-6

4)slope=2

y intercept=4

Answer:

3

Step-by-step explanation:

x=(5x-13)

so you work that equation out

take the 5x to the side of x and equate it to what you get

x=5x-13

5x+x=13+5

6x = 18 = x=3

6 6

x=3

f(-3)=g(-4) 123456789012345

Answer:

The mapping statements (-3,7) -> (-9,10) and (1, -5)-> (-5, -2) describe the same translation.

Step-by-step explanation:

In a translation, we have that:

(x,y) -> (x+a,y+b)

In which a and b are how much the values change.

(6.-9) -> (0,1)

x subtracted by 6, y added by 10. So, the translation rule is:

(x,y) -> (x - 6, y + 10).

(-3,7) -> (-9,10)

x subtracted by 6, y added by 3. So

(x,y) -> (x - 6, y + 3).

(1, -5)-> (-5, -2)

x subtracted by 6, y added by 3. So

(x,y) -> (x - 6, y + 3)

Same rule as the above, so the mapping statements (-3,7) -> (-9,10) and (1, -5)-> (-5, -2) describe the same translation.

(2, 4) -> (-4,1)

x subtracted by 6, y subtracted by 3. So

(x,y) -> (x - 6, y - 3)

Answer:

B.  2(x+2)(x+1)

Step-by-step explanation:

[tex]\sf\purple{B. \:2(x + 2)(x+1) }[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]

[tex]2 {x}^{2} + 6x + 4[/tex]

Taking 2 as common factor, we have

[tex] = 2 \: ( {x}^{2} + 3x + 2) \\ =2 \: ( {x}^{2} + 2x + x + 2)[/tex]

Taking [tex]x[/tex] as common from first two terms and 1 from last two terms, we have

[tex] = 2 \:[x(x + 2) + 1(x + 2)][/tex]

Taking the factor [tex](x+2)[/tex] as common,

[tex] = 2(x + 2)(x + 1)[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{!}}}}}[/tex]

Answer:

a=3

Step-by-step explanation:

Given :

1:a :: 5: 15

To find a

a=15×1/5

a=3

Therefore, value of a =3

Answer:

It does since lets say X and Y equal 10 it works

Step-by-step explanation:

Answer:

There are two types of similar triangle problems; these are problems that require you to prove whether a given set of triangles are similar and those that require you to calculate the missing angles and side lengths of similar triangles. Subtract both sides by 130°. Hence; By Angle-Angle (AA) rule, ΔPQR~ΔXYZ.

Step-by-step explanation:

Answer:

3/5

Step-by-step explanation:

[tex]Sin A = \frac{4}{5}=\frac{oppsite side}{hypotenuse}[/tex]

Adjacent side² = hypotenuse² - opposite side²

= 5² - 4²

= 25 - 16

= 9

Adjacent side = √9 = 3

Cos A = [tex]\frac{Adjacent side}{hypotenuse} = \frac{3}{5}[/tex]

Sin = 4/5 = Perpendicular/hypotenuse

CosA = Base/hypotenuse

Base = √hyp. ^- prep.^

Base= 3/5

Answer:

False

Step-by-step explanation:

Step-by-step explanation:

YOU ARE CORRECT

[tex] {7}^{(1 \times 9)} = {7}^{5 + 5} \\ {7}^{9} \: \: \: \: \: \: \: \: \: \: \: {7}^{10} [/tex]

the equation is false

Answer:

y = 9x + (-7) should be the answer

Answer:

The half-life of the substance is of 1600 years.

Step-by-step explanation:

Amount of the substance:

The amount of the substance after t years is given by the following equation:

[tex]C(t) = A(0.999567)^t[/tex]

In which A is the initial amount.

Find the half-life:

This is t for which [tex]C(t) = 0.5A[/tex], that is, the amount is half the initial amount. So

[tex]C(t) = A(0.999567)^t[/tex]

[tex]0.5A = A(0.999567)^t[/tex]

[tex](0.999567)^t = 0.5[/tex]

[tex]\log{(0.999567)^t} = \log{0.5}[/tex]

[tex]t\log{0.999567} = \log{0.5}[/tex]

[tex]t = \frac{\log{0.5}}{\log{0.999567}}[/tex]

[tex]t = 1600[/tex]

The half-life of the substance is of 1600 years.

Answer:

(8,-9)

Step-by-step explanation:

solve the equation for x

x=13/5-3/5y

7x+8y=-16

substitute the given value of x into the equation 7x+8y= -16

7(13/5-3/5y)+8y= -16

solve the equation for y

7(13/5-3/5)+8y= -16

y= -9

substitute the given value of y into the equation x=13/5-3/5y

x=13/5-3/5x(-9)

solve for x

x=8

the ordered pair is (8,-9)

Answer:

The solution to this system of equations is x = 8, and y = -9

Step-by-step explanation:

Firstly we need to use the first equation to represent "x" in terms of "y", so we do the following...

[tex]5x + 3y = 13\\5x = 13 - 3y\\x = \frac{13}{5} - \frac{3}{5}y[/tex]

Now we take the second equation and replace "x" with an equal value in terms of "y" which we know from the previous equation, and just solve for "y".

[tex]7x + 8y = -16\\7(\frac{13}{5} -\frac{3}{5} y) + 8y = -16\\\\18\frac{1}{5} - 4\frac{1}{5} y + 8y = -16\\\\3\frac{4}{5}y = -34\frac{1}{5} \\\\y = -34\frac{1}{5} / 3\frac{4}{5} \\y = -9[/tex]

After we found the value of "y" we can find the value of "x" by using any of the two equations, we just have put "-9" instead of "y". For example...

[tex]5x + 3y = 13\\5x + 3(-9) = 13\\5x - 27 = 13\\5x = 13 + 27\\5x = 40\\x = 40 / 5\\x = 8[/tex]

Now we know that the solution to this system of equations is x = 8, and y = -9

Answer:

[tex]\frac{47}{2} \to 6[/tex]

[tex]\frac{60}{12} \to 5[/tex]

[tex]\frac{40}{10} \to 4[/tex]

[tex]\frac{56}{8} \to 7[/tex]

[tex]\frac{64}{8} \to 8[/tex]

Step-by-step explanation:

Given

See attachment

Required

Complete the blanks

To do this, we simply carry out the division operation.

So, we have:

[tex]\frac{47}{2} \to 6[/tex]

[tex]\frac{60}{12} \to 5[/tex]

[tex]\frac{40}{10} \to 4[/tex]

[tex]\frac{56}{8} \to 7[/tex]

[tex]\frac{64}{8} \to 8[/tex]

The rates of the given equivalent unit rates are properly matched as follows:

42/7 = 6

60/12 = 5

40/10 = 4

56/8 = 7

64/8 = 8

To find the unit rate, the numerator is divided by the denominator such that the denominator is reduced to 1.

Thus, let's find the unit rates that matches with the equivalent rates given (see attachment below).

Divide the numerators by the denominators such that the value of the denominators are reduced to 1.

Learn more about unit rate on:

https://brainly.com/question/18296886

Answer:

(C).

[tex]height = \sqrt{ {29}^{2} - {21}^{2} } \\ = \sqrt{400} \\ = 20 \: units[/tex]

Answer:

Part A: x = y+45

Part B: 40 125-45 = 80, 80÷2 = 40

Part C: Yes, because 80+45 adds up to 125.

Hope this helps! :)

Answer:

option 2

in the first equation y is greater than so it would be shaded above the line and in the second equation y is less than so it would be shaded below the line

Step-by-step explanation:

Answer:

62.5

Step-by-step explanation:

Because there are 5 prime numbers so you have to divide 100 by 8 and then multiply by 5 so the answer is 62.5

Answer:

y = -5/6x + 6

Step-by-step explanation:

Slope intercept form is: y = mx + b

- where m is the slope

- where b is the y-intercept.

The problem already gives you the slope and y-intercept, so all you have to do is put it in for m and b respectively. Therefore, we have:

y = -5/6x + 6

Answer:

[tex]y = - \frac{5x}{6} + 6[/tex]

Step-by-step explanation:

1: Formulate equations/expressions:

[tex]based \: on \: the \: given \: conditions \: formulate[/tex]

[tex]m = - \frac{5}{6} \\ b = 6[/tex]

2: Write the equation:

[tex]write \: the \: equation \: of \: linear \: function[/tex]

[tex]y = mx + b[/tex]

3: substitute:

[tex]y = mx + b \\ m = - \frac{5}{6} \: b = 6 \\ y = - \frac{5}{6} x + 6[/tex]

4: rewrite the equation:

[tex]y = - \frac{5}{6} x + 6 \\ slope - intercept \: form \\ fin \: the \: required \: form: \\ y = - \frac{5x}{6} + 6[/tex]

Answer:

Step-by-step explanation:

Apply the Distributive Property of Multiplication.  Multiply each of the three terms inside parentheses by -(1/2):

(3/4)x - 3x - (1/2) - 3x, or

(3/4)x - 6x - 1/2

The first two terms can be combined, to obtain:

(-5 1/4)x - 1/2, or (-21/4)x - 1/2

Answer:

-9

Step-by-step explanation:

Find the common ratio by dividing one of the numbers in the sequence by the previous number:

117/-13

= -9

So, the common ratio is -9.

Answer:

125 people

Step-by-step explanation:

P( green) = number of green / total

                = 25/120

                 =5/24

Multiply this probability by 600

5/24 * 600 =125

Answer:

out of 120 people 25 people has chosen green

out of 1 people green will be chosen by 25/120 people

out of 600 people green colour will be chosen by( 25/120)×600 people =25×5=people