if 1/5 of the remaining blueberries is used to make muffins, how many pounds of blueberries are left in the container

Darcie wants to crochet a minimum of 3 blankets to donate to a homeless shelter. Darcie crochets at a rate of 1/15 of a blanke

Gnesinka [82]

Answer:

Step-by-step explanation:

Given that Darcie wants to donate minimum 3 blankets to donate to a homeless shelter. No of days left =60

No of days to complete one blanket = 1/(1/15) = 15 days

Hence in 60 days she has to complete ≥3 blankets

No of days she has to utilize for this will be ≥3(15)=45

No of days she can skip crocheting ≤15

Let x be the no of days crocheted and y no of days skipped

Then x+y≤60

See the graph attached as x axis for days crocheted and y for days skipped

No of blankets can be either 3 or 4.

4 0

2 years ago

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At a Psychology final exam, the scores are normally distributed with a mean 73 points and a standard deviation of 10.6 points. T

USPshnik [31]

Answer:

The score that separates the lower 5% of the class from the rest of the class is 55.6.

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:

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

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:

$\mu = 73, \sigma = 10.6$

Find the score that separates the lower 5% of the class from the rest of the class.

This score is the 5th percentile, which is X when Z has a pvalue of 0.05. So it is X when Z = -1.645.

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

$-1.645 = \frac{X - 73}{10.6}$

$X - 73 = -1.645*10.6$

$X = 55.6$

The score that separates the lower 5% of the class from the rest of the class is 55.6.

3 0

2 years ago

Which of the following tables shows the correct steps to transform x2 + 8x + 15 = 0 into the form (x − p)2 = q? [p and q are int

Andre45 [30]

The correct steps are:

start with

$x^2+8x+15=0$

Add 1 to both sides:

$x^2+8x+16=1$

The left hand side is a perfect square:

$(x+4)^2=1$

6 0

2 years ago

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Dylan is comparing prices of yarn for a project. The prices and quantities from four stores are shown.

Delicious77 [7]

Answer:

Store 3

Step-by-step explanation:

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8 0

1 year ago

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This chart shows what happens when each object is placed on a balance with a 10 kg weight on the other side.

dexar [7]

9514 1404 393

Answer:

Object 1 is the heaviest object.

Step-by-step explanation:

The first column of the table tells you ...

Object 1 is heavier than the 10 kg weight

The second column of the table tells you ...

Object 2 weighs 10 kg

The third column of the table tells you ...

Object 3 is lighter than the 10 kg weight

Then the relative weights are ...

Object 1 > Object 2 > Object 3

That is, Object 1 is the heaviest object.

8 0

2 years ago

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