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2 years ago

8

The line y = passes through (-3, 7) and is parallel to y = 4x - 1. DONE

2 answers:

nata0808 [166]2 years ago

4 0

Answer: y = 4 x+ 19

Step-by-step explanation:

olya-2409 [2.1K]2 years ago

3 0

Answer:

y - 7 = 4(x + 3)^2

Step-by-step explanation:

The given line, y = 4x - 1, has a slope of 4.

Thus, the new line, being parallel to the given line, also has a slope of 4.

The equation y - k = m(x - h)^2 becomes

y - 7 = 4(x + 3)^2 when -3 is substituted for h, 7 for k and 4 for m.

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2 years ago

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2 years ago

Test scores are normally distributed with a mean of 500. Convert the given score to a z-score, using the given standard deviatio

Bond [772]

Answer:

The percentage of students who scored below 620 is 93.32%.

Step-by-step explanation:

Problems of normally distributed samples are 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:

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

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 pvalue, we get the probability that the value of the measure is greater than X.

In this question, we have that:

$\mu = 500, \sigma = 80$

Percentage of students who scored below 620:

This is the pvalue of Z when X = 620. So

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

$Z = \frac{620 - 500}{80}$

$Z = 1.5$

$Z = 1.5$ has a pvalue of 0.9332

The percentage of students who scored below 620 is 93.32%.

3 0

2 years ago

Read 2 more answers

Jen picked 3/4 of a gallon of strawberries in half an hour.If she keeps picking strawberries at the same time, how many gallons

MrRa [10]

Answer:

Number of gallons of strawberries will she have picked in 2 hours is, 3

Step-by-step explanation:

Unit rate defined as the rate are expressed as a quantity of 1, such as 4 feet per second or 6 miles per hour, they are called unit rates.

Given the statement: Jen picked 3/4 of a gallon of strawberries in half an hour.

⇒ In $\frac{1}{2}$ hour Jen picked $\frac{3}{4}$ gallon of strawberries.

Unit rate per hour = $\frac{\frac{3}{4} }{\frac{1}{2}} =\frac{3}{4} \times \frac{2}{1} = \frac{6}{4} = \frac{3}{2}$

To find the number of gallons will she have picked in 2 hours.

$Number of gallons = unit rate per hours \times 2$

= $\frac{3}{2} \times 2 = 3$

Therefore, the number of gallons will she have picked in 2 hours is, 3

6 0

2 years ago

Allison bought jelly beans to share with her friends. She bought pounds of blueberry jelly beans and pounds of lemon jelly beans

Vaselesa [24]

Answer: $1\dfrac{11}{12}\text{ pounds}$

Step-by-step explanation:

The complete question is provided in the attachment.

Given, Amount blueberry jelly beans= $1\dfrac{1}{4}$ pounds

$=\dfrac{5}{4}$ pounds.

Amount lemon jelly beans = $2\dfrac{1}{3}$ pounds

$=\dfrac{7}{2}$ pounds

Total jelly beans she bought = Amount blueberry jelly beans + Amount lemon jelly beans

$=(\dfrac{5}{4}+\dfrac{7}{3})$ pounds

$=\frac{15+28}{12}\text{ pounds}\\\\=\dfrac{43}{12}\text{ pounds}$

Amount of jelly beans she gave away = $1\dfrac{2}{3}=\dfrac{5}{3}\text{ pounds}$

Amount of jelly beans she has left= Total jelly beans - Amount of jelly beans she gave away

= $\dfrac{43}{12}-\dfrac{5}{3}\\\\=\dfrac{43-20}{12}\\\\=\dfrac{23}{12}\\\\=1\dfrac{11}{12}\text{ pounds}$

She has left $1\dfrac{11}{12}\text{ pounds}$ of jelly beans.

6 0

2 years ago