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Paraphin [41]
3 years ago
15

Write the algebraic notation for dilation with a scale factor of ½

Mathematics
1 answer:
Romashka [77]3 years ago
5 0

Answer:  (x, y) goes to (1/2x, 1/2y)

Step-by-step explanation:

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The amount of energy associated with a production of bottled water is approximately Normal with a mean of 8.7 million Joules and
aniked [119]

Answer:

At most 9.12 joules should be required for the bottom 80% of bottled water

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 = 8.7, \sigma = 0.5

How much energy should be required for the bottom 80% of bottled water?

At most the 80th percentile.

The 80th percentile is X when Z has a pvalue of 0.8. So it is X when Z = 0.84.

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

0.84 = \frac{X - 8.7}{0.5}

X - 8.7 = 0.84*0.5

X = 9.12

At most 9.12 joules should be required for the bottom 80% of bottled water

5 0
4 years ago
38" points please help
nikdorinn [45]
1. The winner threw the ball 175 ft, so what we want to do now is we convert (175) ft into yd.

We already know that 1ft= 1/3 yd, so the distance in yd is:
175 ft* (1/3 yd/ 1 ft) = 58 1/3 yd.

The answer is A. 58 1/3 yards.

2. 75 min* (4.5 miles/ 15 min)= 22.5 miles.

The correct answer is D. 22.5

3. Let's say that there are 4 weeks in a month. There are 5 weekdays in a week, so the number of weekdays in a month is:
5 weekdays/ 1 week* (4 weeks/ 1 month)= 20 weekdays/ 1 month.

Alex runs 5.9 miles/ 1 weekday, so the number of miles he runs every month is:
(5.9 miles/ 1 weekday)* (20 weekdays/ 1 month)= 118 miles/ month.

The nearest number to 118 is 120, so the answer is D.120 miles

4. 10 sweaters to 8 shirts:

10:8= 10/8= 5/4

The answer is B. 5/4

Hope this would help~
3 0
3 years ago
Find the expression that represents the<br> value of v.<br> 2(v - 8) = n+y
Sophie [7]

Answer:

v = \frac{n+y+16}{2}

Step-by-step explanation:

2(v-8) = n+y

Distribute

2v-16 = n+y

Move -16 to the other side

2v = n+y+16

Divide everything by 2

v = \frac{n+y+16}{2}

4 0
2 years ago
Read 2 more answers
Rewrite the expression x^3+10x^2+13x+39/x^2+2x+1 in the form q(x)+r(x)/b(x)
aleksley [76]
Hello : 
here is a solution

4 0
3 years ago
Help, please I can't answer it
Ivan

Answer:

A and c i think it will help you

5 0
3 years ago
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