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4 years ago

Solve the equation type the integer with it 7x=21

Mathematics

2 answers:

Mazyrski [523]4 years ago

7 0

7x=21

7x/7 =21/7
cross out both 7s bring down the x then you solve 21 divided by 7 which equals 3 so your answer is going to be x=3

umka21 [38]4 years ago

7 0

Answer: x = 3

Explanation: To solve for x, we must first isolate x and the division property of equality allows to divide bt 7 on both sides of the equation.

On the left the 7's cancel and on the right, 21 divided by 7 is 3.

So we have x = 3.

My work is also shown in the image attached.

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The data show systolic and diastolic blood pressure of certain people. Find the regression equation, letting the first variable

MakcuM [25]

Full Question:

The data show systolic and diastolic blood pressure of certain people. Find the regression equation, letting the first variable be the independent (x) variable. Find the best predicted diastolic pressure for a person with a systolic reading of 113. use a significance level of 0.05.

Systolic| 150 129 142 112 134 122 126 120

Diastolic| 88 96 106 80 98 63 95 64

a. What is the regression equation?

^y = __ + __x (Round to two decimal places as needed.)

b. What is the best predicted value?

^y is about __ (Round to one decimal place as needed.)

Answer:

A. yhat = a + bx = -10.64 + 0.75x

B. 74.0

Step-by-step explanation:

A. To find the regression equation here, we apply the formulas and then apply it to find the value of y given value of x:

calculate xbar and ybar which is the average of the variables:

Where n(number of values in x or y)=8

xbar = sum of x/n = 129.375

ybar = sum of y/n = 86.25

to calculate b

b= [Sum x^2 * Sum y - Sum x * Sum x*y] / [N*Sum x^2 - (Sum x)^2]

b = 0.74891

To calculate a

a = ybar - b * xbar = -10.64023

Regression equation:

y=mx+b= -10.64 + 0.75x

B. given x = 113,

y = -10.64023 + 0.74891 * 113

y= 74.0

5 0

3 years ago

1. Two thousand dollars is invested at 5.5 percent interest compounded

Dafna11 [192]

Two thousand dollars is invested at 5.5 percent interest compounded

quarterly for 2 years. Then the amount is $ 2230.88

Solution:

Given that Two thousand dollars is invested at 5.5 percent interest compounded quarterly for 2 years

The formula for amount using compounded quarterly is given as:

$\text { Amount }=P\left(1+\frac{R / 4}{100}\right)^{4 T}$

Where, "p" is the principal sum

"R" is the rate of interest

"T" is the number of years

Here in this problem,

P = 2000 ; R = 5.5 ; T = 2 years

Plugging in values in formula we get,

$\text {Amount}=2000\left(1+\frac{\frac{5.5}{4}}{100}\right)^{4 \times 2}$

$=2000\left(1+\frac{1.375}{100}\right)^{8}$

On solving we get,

$=2000(1+0.01375)^{8}=2000(1.11544)=2230.88$

Hence the amount is $ 2230.88

4 0

3 years ago

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PolarNik [594]

Answer:

x = 3

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Step-by-step explanation:

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60° + 90° + m∠H = 180°

m∠H = 30°

If the given triangles FGH and TUV are congruent, their corresponding sides will be equal in measure.

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GH ≅ UV

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Lesechka [4]

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3 years ago

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goldenfox [79]

Answer:

Step-by-step explanation:

( 2 , 26 )

( 0 , 4 )

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