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gizmo_the_mogwai [7]
3 years ago
15

In one soccer season, Milica saved 155 out of 180 shots on goal. At this rate, about how many saves would she make out of 600 sh

ots on goal? Round to the nearest whole number.
This is for 8th grade
I need this now plz help
Mathematics
1 answer:
Mars2501 [29]3 years ago
6 0
Saved : Shots
155 : 180
x : 600

155(600) / 180 = 93,000 / 180 = 517

Answer:
517 shots would be saved out of 600 shots.
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What is the value of x? <br> 3x + (6x - 6) = 4(2x-2)
olya-2409 [2.1K]

Answer:

x = -2

Step-by-step explanation:

To start, let's add on the first side to get 3x + 6x - 6 = 9x - 6. For the second side, we need to distribute the 4 to get 4(2x) + 4(-2), or 8x + (-8) or 8x - 8. Setting these equal, we subtract 8x from both sides to get x - 6 = -8, and adding 6 to both sides gives x = -2.

8 0
2 years ago
The amount people pay for cable service varies quite a bit but the mean monthly fee is $142 and the standard deviation is $29. t
zhuklara [117]

Answer:

a) By the Central Limit Theorem, the mean is $142 and the standard deviation is $0.7488.

b) By the Central Limit Theorem, approximately normal.

c) 0.0901 = 9.01% probability that the average cable service paid by the sample of cable service customers will exceed $143

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal probability distribution

When the distribution is normal, we use 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.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean \mu and standard deviation \sigma, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}.

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

The mean monthly fee is $142 and the standard deviation is $29.

This means that \mu = 142, \sigma = 29

Part a: what are the mean an standard deviation of the sample distribution of x hat show your work and justify your reasoning.

Sample of 1500(larger than 30).

By the Central Limit Theorem

The mean is $142

The standard deviation is s = \frac{29}{\sqrt{1500}} = 0.7488

Part b: what is the shape of the sampling distribution of x hat justify your answer.

By the Central Limit Theorem, approximately normal.

Part C: what is the probability that the average cable service paid by the sample of cable service customers will exceed $143?

This is 1 subtracted by the pvalue of Z when X = 143. So

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

By the Central Limit Theorem

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

Z = \frac{143 - 142}{0.7488}

Z = 1.34

Z = 1.34 has a pvalue of 0.9099

1 - 0.9099 = 0.0901

0.0901 = 9.01% probability that the average cable service paid by the sample of cable service customers will exceed $143

4 0
3 years ago
75% of students were boys. there 18 boys in the class wht is the total number of students
Kaylis [27]

Answer:

the answer is 24.

Step-by-step explanation:

5 0
2 years ago
What is the solution to x ? <br><br> 7/3x + 1/3x = 3x + 6/3 + 5/3x
nignag [31]
7/3x+1/3x=3x+6/3+5/3x
8/3x-5/3x=3x+6/3
3/3x=3x+6/3
x=3x+6/3
x-3x=6/3
-2x=2
-x=2/2
-x=1
x=-1
7 0
3 years ago
If an arithmetic progression satisfies U4=7 , U8=15 .Find U10​
Alja [10]

<em>Answer:</em>

<em>U10 = 19</em>

<em>Step-by-step explanation:</em>

<em>The sequence is </em>Ux=(x*2)-1<em />

<em>x is the coefficient to U.</em>

<em>So, </em>U10=(10*2)-1<em />

<em>Which means </em>U10=20-1<em />

<em>Which means </em>U10=19<em />

<em>And there is your answer.</em>

<em>Hope this helps. Have a nice day.</em>

6 0
2 years ago
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