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allochka39001 [22]
3 years ago
14

36 is 8 3/4% of what number?

Mathematics
1 answer:
irga5000 [103]3 years ago
4 0

Answer:

28.8 or 28 8/10

Step-by-step explanation:

A percentage is out of 100. We have to convert 8 3/4 into a percentage. 8 3/4 can also be written as an improper fraction 35/4. Now we have to make the denominator 100. We already knoe that 4 multiplied by 25 equals 100, then we do the same to the numerator. 35 multiplied by 25 gets us to 125. Now we got 125/100. Now since we converted the fracrion into a percentage, now what we do is divide 36 by 125% and that will get you to 28.8 or 28 8/10.

To double check your answer, you can multiply 28.8 by 125% and you will get 36.

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A random sample of 850 births included 434 boys. Use a 0.10 significance level to test the claim that 51.5​% of newborn babies a
Molodets [167]

Answer:

A

Null hypothesis: H0: p = 0.515

Alternative hypothesis: Ha ≠ 0.515

z = -0.257

P value = P(Z<-0.257) = 0.797

Decision; we fail to reject the null hypothesis. That is, the results support the belief that 51.5​% of newborn babies are​ boys

Rule

If;

P-value > significance level --- accept Null hypothesis

P-value < significance level --- reject Null hypothesis

Z score > Z(at 90% confidence interval) ---- reject Null hypothesis

Z score < Z(at 90% confidence interval) ------ accept Null hypothesis

Step-by-step explanation:

The null hypothesis (H0) tries to show that no significant variation exists between variables or that a single variable is no different than its mean. While an alternative Hypothesis (Ha) attempt to prove that a new theory is true rather than the old one. That a variable is significantly different from the mean.

For the case above;

Null hypothesis: H0: p = 0.515

Alternative hypothesis: Ha ≠ 0.515

Given;

n=850 represent the random sample taken

Test statistic z score can be calculated with the formula below;

z = (p^−po)/√{po(1−po)/n}

Where,

z= Test statistics

n = Sample size = 850

po = Null hypothesized value = 0.515

p^ = Observed proportion = 434/850 = 0.5106

Substituting the values we have

z = (0.5106-0.515)/√(0.515(1-0.515)/850)

z = −0.256677

z = −0.257

To determine the p value (test statistic) at 0.10 significance level, using a two tailed hypothesis.

P value = P(Z<-0.257) = 0.797

Since z at 0.10 significance level is between -1.645 and +1.645 and the z score for the test (z = -0.257) which falls with the region bounded by Z at 0.10 significance level. And also the one-tailed hypothesis P-value is 0.797 which is greater than 0.10. Then we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and we can say that at 10% significance level the null hypothesis is valid.

5 0
3 years ago
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Fittoniya [83]

Answer:

Step-by-step explanation:

4 0
2 years ago
13 out of 60 people surveyed were left handed calculate the angle you would use in a pie chart
PtichkaEL [24]
Total angle for the pie chart = 360°

13 out of 60 =    13 / 60

Angle for it =    13 / 60 * 360 = 13 * 6 = 78°

Angle used = 78°
4 0
3 years ago
Estimate each product 5/7×1/9=
Cerrena [4.2K]
Multiply it out to get 5/7*1/9=5/63.  This is an exact value of the product.
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PLEASE HELP ASAP!!! CORRECT ANSWERS ONLY PLEASE!!!
mixas84 [53]

    5x³ + 8x² - 7x - 6

1)

x + 2 is a factor because when using synthetic division, the remainder is zero.

-2  |  5    8    -7    -6

    <u>|  ↓   -10    4     6 </u>

       5   -2    -3     0  ← remainder is zero

2)

x + 2 is not a factor because when using synthetic division, the remainder is not zero.

-1  |  5    8    -7    -6

    <u>|  ↓  -5    -3     10 </u>

       5   3    -10    4  ← remainder is not zero


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3 years ago
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