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djverab [1.8K]
3 years ago
7

The product of 4 & a number increased by a is -48

Mathematics
1 answer:
d1i1m1o1n [39]3 years ago
7 0
4(x+a)= -48
Divide both sides by 4
(X + a) = -12

X being "a number"
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Heights​ (cm) and weights​ (kg) are measured for 100 randomly selected adult​ males, and range from heights of 133 to 193 cm and
yawa3891 [41]

Answer:

The weight of an adult male who is 172 cm tall is 89.36 kg.

Step-by-step explanation:

The regression equation representing the relationship between height and weight of a person is:

\hat y=-105+1.13x

Here

<em>y</em> = weight of a person

<em>x</em> = height of a person

The information provided is:

\bar x=167.90\ cm\\\bar y=81.47\ kg\\r (X, Y) = 0.228\\p-value=0.023\\\alpha =0.05

The hypothesis to test the significance of the correlation between height and weight is:

<em>H₀</em>: There is no relationship between the height and weight, i.e. <em>ρ</em> = 0.

<em>Hₐ</em>: There is a relationship between the height and weight, i.e. <em>ρ </em>≠ 0.

Decision rule:

If the <em>p</em>-value of the test is less than the significance level, then the null hypothesis will be rejected and vice-versa.

According to information provided:

<em>p</em>-value = 0.023 < <em>α</em> = 0.05

The null hypothesis was rejected at 5% level of significance.

Thus, concluding that there is a relationship between the height and weight.

Compute the weight of an adult male with height, <em>x</em> = 172 cm as follows:

\hat y=-105+1.13x

  =-105+(1.13\times 172)\\=-105+194.36\\=89.36

Thus, the weight of an adult male who is 172 cm tall is 89.36 kg.

5 0
3 years ago
Solve for x 6(x-1)=9(x+2)
tigry1 [53]
<span>Simplifying 6(x + -1) = 9(x + 2) Reorder the terms: 6(-1 + x) = 9(x + 2) (-1 * 6 + x * 6) = 9(x + 2) (-6 + 6x) = 9(x + 2) Reorder the terms: -6 + 6x = 9(2 + x) -6 + 6x = (2 * 9 + x * 9) -6 + 6x = (18 + 9x) Solving -6 + 6x = 18 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -6 + 6x + -9x = 18 + 9x + -9x Combine like terms: 6x + -9x = -3x -6 + -3x = 18 + 9x + -9x Combine like terms: 9x + -9x = 0 -6 + -3x = 18 + 0 -6 + -3x = 18 Add '6' to each side of the equation. -6 + 6 + -3x = 18 + 6 Combine like terms: -6 + 6 = 0 0 + -3x = 18 + 6 -3x = 18 + 6 Combine like terms: 18 + 6 = 24 -3x = 24 Divide each side by '-3'. x = -8 Simplifying x = -8</span>
8 0
3 years ago
Read 2 more answers
Determine each segment length in right triangle ABC
zepelin [54]

Answer:

BC = 7√2

BD = 7

Hope this helps you.....

6 0
2 years ago
What is the property of 3m x 1 =3m
Kipish [7]

Answer:

Assuming this is for a Conic Section. There is no property as it does not match a conic section.

8 0
2 years ago
2p x 3q x 5r maths watch
Zepler [3.9K]

Answer:

2px^ 8 qr

Step-by-step explanation:

<u>Reformatting the input : </u>

Changes made to your input should not affect the solution:

(1): "x5"   was replaced by   "x^5".  1 more similar replacement(s).

<u>STEP  1 : </u>

<em><u>Equation at the end of step 1 </u></em>

 ((2px3 • q) • x5) • r

<u>STEP  2 : </u>

<u></u>

<em><u>Final result : </u></em>

 2px8qr

<u><em>HOPE THIS HELPS!</em></u>

<u><em> PLEASE MARK BRAINLIEST IF THIS HELPED YOU LEARN! :)</em></u>

3 0
3 years ago
Read 2 more answers
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