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3 years ago

7

What is the reason for each step in the solution of the equation?

1 answer:

Luda [366]3 years ago

7 0

Isolate the variable by dividing each side by factors that don't contain the variable.
X=2

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Keenan scored 80 points on an exam that had a mean score of 77 points and a standard deviation of 4.9 points. Rachel scored 78 p

Artemon [7]

Answer:

Keenan's z-score was of 0.61.

Rachel's z-score was of 0.81.

Step-by-step explanation:

Z-score:

Problems of normal distributions can be solved using the z-score formula.

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

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

The Z-score measures how many standard deviations the measure 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 p-value, we get the probability that the value of the measure is greater than X.

Keenan scored 80 points on an exam that had a mean score of 77 points and a standard deviation of 4.9 points.

This means that $X = 80, \mu = 77, \sigma = 4.9$

So

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

$Z = \frac{80 - 77}{4.9}$

$Z = 0.61$

Keenan's z-score was of 0.61.

Rachel scored 78 points on an exam that had a mean score of 75 points and a standard deviation of 3.7 points.

This means that $X = 78, \mu = 75, \sigma = 3.7$ . So

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

$Z = \frac{75 - 78}{3.7}$

$Z = 0.81$

Rachel's z-score was of 0.81.

6 0

3 years ago

Find the m∠ULE in the triangle below.(ill give brailsit)

Lorico [155]

Answer:

A

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

I NEED ALL 3 ASAP IT CLOSES SOON

Norma-Jean [14]

Answer:

Slope is (-9/3 or) -3

Y-intercept is 4

Equation is y = - 3x + 4

Hope this helps!

4 0

3 years ago

The expression can be used to predict the height of a plant in days. Where is the rate in centimeters that that plant grows per

Allisa [31]

Answer:

37.5 cm

Step-by-step explanation:

x = days

f(x) = 1.5x + 30

f(5) = 1.5(5) + 30

f(5) = 7.5 + 30

f(5) = 37.5

5 0

3 years ago

What is a formula for the nth term of the given sequence? 48, 72, 108

WITCHER [35]

Answer:

$a_n=48*1.5^{n-1}$

Step-by-step explanation:

<u>Geometric Sequence</u>

In geometric sequences, each term is found by multiplying (or dividing) the previous term by a fixed number, called the common ratio.

We are given the sequence:

48, 72, 108, ...

The common ratio is found by dividing the second term by the first term:

$r=\frac{72}{48}=1.5$

To ensure this is a geometric sequence, we use the ratio just calculated to find the third term a3=72*1.5=108.

Now we are sure this is a geometric sequence, we use the general term formula:

$a_n=a_1*r^{n-1}$

Where a1=48 and r=1.5

$\boxed{a_n=48*1.5^{n-1}}$

For example, to find the 5th term:

$a_5=48*1.5^{5-1}=48*1.5^{4}=243$

7 0

3 years ago