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3 years ago

An ice-cream factory makes 250 quarts of ice-cream in 2 hrs. how many could be made in 36 hrs

2 answers:

Nutka1998 [239]3 years ago

8 0

Find the unit rate of this scenario. 250/2 = 125 quarts per hour
Now multiply the unit rate by the new amount. 36*125 = 4500

Add the units

4,500 quarts in 36 hours.

amid [387]3 years ago

6 0

First you multiply 125 because thats what the machine makes in 1 hour and 125+125=250 so multiply 36 by 125 and that equals 4,500. Answer:4,500

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What is the value of x in the equation 6x-5/2 = 2x+6

nataly862011 [7]

Answer:

x= 17/8

Step-by-step explanation:

6x− 5/2=2x+6

Step 1: Simplify both sides of the equation.

6x+−5/2=2x+6

Step 2: Subtract 2x from both sides.

6x+−5/2−2x=2x+6−2x

4x+−5/2=6

Step 3: Add 5/2 to both sides.

4x+−5/2+5/2=6+5/2

4x=17/2

Step 4: Divide both sides by 4.

4x/4=17/2/4

x=17/8

7 0

3 years ago

Weekly wages at a certain factory are

Furkat [3]

Answer: 0.1359

Step-by-step explanation:

mean = $400

Standard deviation = $50

Since the wages is normally distributed , the first thing is to find the z - score.

z = $\frac{x-mean}{standard deviation}$

finding the z - value for 300 and 350 , we have

z = $\frac{300-400}{50}$

z = $\frac{-100}{50}$

2 = -2

also

z = $\frac{350-400}{50}$

z = $\frac{-50}{50}$

z = -1

The next thing is to check the calculated value on z - table.

From z - table :

P (z $\leq$ -2 ) = 0.0228

P ( z $\leq -1$ ) = 0.1587

combining the two

P ( -2 $\leq$ z $\leq$ -1 ) = 0.1587 - 0.0228

P ( -2 $\leq$ z $\leq$ -1 ) = 0.1359

Therefore , the the probability that a worker

selected at random makes between

$300 and $350 = 0.1359

3 0

3 years ago

What is 4h-8h in like terms and terms and identify expression

Andrews [41]

Answer:

Step-by-step explanation:

Expression: 4h-8h=4h

Because both 4h and 8h end in the same variable they can be subtracted when you subtract 4 and 8 you get 4. and You can't forget your variable so you end with 4h

Your expression is a group of terms without an equal sign. 4h and 8h are your terms as well as your answer.

Your expression ends as 4h-8h=4h

3 0

3 years ago

Sketch the quadratic function ƒ(x) with a vertex at (–1, 2) and the points (0, 0) and (–2, 0). Which statement describes the par

KATRIN_1 [288]

Answer:

I believe it is C) decreasing when x > -1

Step-by-step explanation:

If you plot all 3 points on a graph, you will notice that the parabola is facing downwards. This means that on the left side of the vertex, it is increasing (the y-value increases). On the right side of the vertex, it decreases (y-value decreases). Note that "decreasing" refers to the y values.

So, since the vertex's x-value is -1 (we know this from the point (-1, 2)), any x-value greater than -1 will be to the right of the vertex. For example, 0, 1, 2, 3, etc. are all greater x-values than -1, so they are all to the right of -1. Since they are on the right, that means the corresponding-values will be decreasing.

Therefore, when x > -1, the parabola is decreasing.

4 0

3 years ago

Read 2 more answers

(1 point) The systolic blood pressure (given in millimeters) of males has an approximately normal distribution with a mean of 12

garik1379 [7]

Answer:

a) $Z = -2.7$

b) $Z = 2.3$

c) Kyle's systolic blood pressure is 1.75 standard deviations above the average systolic blood pressure for men.

d) $X = 144.5$

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 problem, we have that:

$\mu = 127, \sigma = 10$

(a) 100 millimeters z-score =

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

$Z = \frac{100 - 127}{10}$

$Z = -2.7$

(b) 150 millimeters z-score =

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

$Z = \frac{150 - 127}{10}$

$Z = 2.3$

(c) Kyle's doctor told him that the z-score for his systolic blood pressure is 1.75. Which of the following is the best interpretation of his score?

1.75 standard deviations above the mean systolic blood pressure of males.

The problem does not talk about age.

So the answer is:

Kyle's systolic blood pressure is 1.75 standard deviations above the average systolic blood pressure for men.

d) Calculate Kyle's blood pressure

This is X when Z = 1.75. So

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

$1.75 = \frac{X - 127}{10}$

$X - 127 = 1.75*10$

$X = 144.5$

7 0

4 years ago