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ivanzaharov [21]
3 years ago
10

To solve you must subtract 25 from both

Mathematics
1 answer:
ahrayia [7]3 years ago
7 0

Answer:

What are you subtracting 25 from?

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The amount of soft drink in a bottle is a Normal random variable. Suppose that in 7% of the bottles containing this soft drink t
WITCHER [35]

Answer:

The mean is 15.93 ounces and the standard deviation is 0.29 ounces.

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.

7% of the bottles containing this soft drink there are less than 15.5 ounces

This means that when X = 15.5, Z has a pvalue of 0.07. So when X = 15.5, Z = -1.475.

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

-1.475 = \frac{15.5 - \mu}{\sigma}

15.5 - \mu = -1.475\sigma

\mu = 15.5 + 1.475\sigma

10% of them there are more than 16.3 ounces.

This means that when X = 16.3, Z has a pvalue of 1-0.1 = 0.9. So when X = 16.3, Z = 1.28.

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

1.28 = \frac{16.3 - \mu}{\sigma}

16.3 - \mu = 1.28\sigma

\mu = 16.3 – 1.28\sigma

From above

\mu = 15.5 + 1.475\sigma

So

15.5 + 1.475\sigma = 16.3 – 1.28\sigma

2.755\sigma = 0.8

\sigma = \frac{0.8}{2.755}

\sigma = 0.29

The mean is

\mu = 15.5 + 1.475\sigma = 15.5 + 1.475*0.29 = 15.93

The mean is 15.93 ounces and the standard deviation is 0.29 ounces.

6 0
3 years ago
Increase 120 centimetres by 24%
Eva8 [605]
It is a simple problem where 120 centimeters need to be increased by 24%. The increased length can be found by:
120 * (24/100)
= 12 * (24/10)
= 288/10
= 28.8 centimeters
Then the total length of increase = 28.8 cm
Then the increased length = (120 + 28.8) cm
                                         = 148.8 cm
So the length becomes 148.8 cm after it is increased by 24%.
3 0
4 years ago
The bread is on sale for $1.50 so Erica is also going to buy candy or gum. Which can she afford?
Alborosie
Ok, so she started off with $5.00. 


She bought milk for $2.99.

She buys bread, which costs $1.50. 

Subtracting the money she wasted, the total would be $0.51. 

The only thing she could buy is 5 pieces of gum for 25 cents. 

Her change will be $0.26. 

Hope this helps!
6 0
3 years ago
Maria would like to answer the question “How cold is it in January in New York?”
Rina8888 [55]
Statistics should be used because the temperature would vary during January and you would want to give an accurate answer.
8 0
3 years ago
Malcolm has 225 yards of yarn to make 100 bracelets. Suppose the total length of the yarn stayed the same, but instead of Malcol
ANTONII [103]

Given :

Length of yarn, l = 225 yards.

Number of bracelets he made, n = 1000 .

To Find :

How long will the yarn be for each bracelet.

Solution :

Let, length of yarn used in each bracelet is x.

So,

x = \dfrac{Total\ length \ of yarn}{Number \ of \ bracelets\ made}\\\\x = \dfrac{225}{1000}\\\\x = 0.225 \ yards

Therefore, length of yarn used in each bracelet is 0.225 yard.

7 0
3 years ago
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