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3 years ago

To find three consecutive odd integers that have a sum of 63

2 answers:

8 0

Since we are finding the sum of three consecutive odd integers, we will be skipping our even numbers so we can set up an equation.

X + X + 2 + X + 4 = 63

Now, since we have 3 X's on the same side, we can combine them. We can also combine 4 and 2 together to get 6.

<h2>3x + 6 = 63</h2><h2> -6 -6 ← subtract 6 on both sides</h2><h2 /><h2 /><h2>3x = 57</h2><h2>÷3 ÷3</h2><h2 /><h2>X = 19</h2><h2>X + 2 = 21</h2><h2>X + 4 = 23</h2><h2 /><h3>Therefore, our three consecutive odd integers are 19, 21, and 23.</h3>

ludmilkaskok [199]3 years ago

7 0

Three consecutive odd integers that have a sun og 63 would be 23, 11, 29

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I NEED HELP !!!!!!!!!!!!!!!!!!!!!

cricket20 [7]

you must substitute x in the equation given :)

examples:

when x is -2

therefore, y = 2(-2) + 3

y = -1

when x is 0

therefore, y = 2(0) + 3

y = 3

when x is 1

therefore, y = 2(1) + 3

y = 5

when x is 3

therefore, y = 2(3) + 3

y = 9

for (b) you only have to plot based on the table ;)

hope this helps

8 0

3 years ago

What is the point slope form of a line that has a slope of 3 and passes through the point (-1,4)

lukranit [14]

Answer:

y - 4 = 3(x- (-1) ---> y-4 = 3(x+1)

Step-by-step explanation:

y - 4 = 3(x + 1)

y - 4 = 3x + 3

y = 3x + 7

then plug in (-1,4)

4 = 3(-1) + 7

4 = -3 + 7

4 = 4

Point slope form looks like:

y - y₁ = m(x - x₁)

6 0

3 years ago

X-y=3<br> X+2y=-6<br> Solve using substitution

Tresset [83]

X-y=3=>x=3+y
X+2y=-6
=========
3+y+2y=-6
3+3y=-6
3y=-6-3
3y=-9
y=-3

X+2y=-6
X+2(-3)=-6
X-6=-6
X=0

3 0

3 years ago

To estimate the mean height μ of male students on your campus,you will measure an SRS of students. You know from government data

nexus9112 [7]

Answer:

a) $\sigma = 0.167$

b) We need a sample of at least 282 young men.

Step-by-step explanation:

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by

$Z = \frac{X - \mu}{\sigma}$

This Zscore is how many standard deviations the value of the measure X is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

(a) What standard deviation must x have so that 99.7% of allsamples give an x within one-half inch of μ?

To solve this problem, we use the 68-95-99.7 rule. This rule states that:

68% of the measures are within 1 standard deviation of the mean.

95% of the measures are within 2 standard deviations of the mean.

99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we want 99.7% of all samples give X within one-half inch of $\mu$ . So $X - \mu = 0.5$ must have $Z = 3$ and $X - \mu = -0.5$ must have $Z = -3$ .

$Z = \frac{X - \mu}{\sigma}$

$3 = \frac{0.5}{\sigma}$

$3\sigma = 0.5$

$\sigma = \frac{0.5}{3}$

$\sigma = 0.167$

(b) How large an SRS do you need to reduce the standard deviationof x to the value you found in part (a)?

You know from government data that heights of young men are approximately Normal with standard deviation about 2.8 inches. This means that $\sigma = 2.8$

The standard deviation of a sample of n young man is given by the following formula

$s = \frac{\sigma}{\sqrt{n}}$

We want to have $s = 0.167$

$0.167 = \frac{2.8}{\sqrt{n}}$

$0.167\sqrt{n} = 2.8$

$\sqrt{n} = \frac{2.8}{0.167}$

$\sqrt{n} = 16.77$

$\sqrt{n}^{2} = 16.77^{2}$

$n = 281.23$

We need a sample of at least 282 young men.

6 0

3 years ago

now find the components nx and ny of n⃗ in the tilted coordinate system of part b. express your answer in terms of the length of

saw5 [17]

The components are Nx= Ncosθ and Ny= -Nsinθ

<h3>What is a Vector?</h3>

We know that the vector quantities are those quantities that have magnitude as well as direction.

Each vector quantity can be divided into two parts a horizontal and vertical component, the vertical component is known as the sine component while the horizontal component is known as the cosine component.

A vector component is the product of its length and the component angle.

Generally, F sinθ is the vertical component and F cosθ is the horizontal component,

Now, from the diagram the horizontal component of vector 'r' is

Nx= Ncosθ

and, the vertical component will be

Ny= -Nsinθ

this is in the opposite direction

Learn more about vectors here:

brainly.com/question/1600633

#SPJ4

7 0

2 years ago