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Volgvan
3 years ago
5

The probability of a student getting an A in mathematics

Mathematics
1 answer:
marysya [2.9K]3 years ago
5 0

Answer:

00.29

Step-by-step explanation:

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Figure TQRS~ BCDE.Name a pair of Corresponding sides​
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the pair of corresponding sides are:QT=CB,RS=DE,QR=CD,TS=BE..

These are the name of corresponding sides.

hope this will help you more..good luck

4 0
3 years ago
Which equation could represent the relationship shown in the scatter plot?
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A

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Use POE, none of the answer makes any sense

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6 0
4 years ago
48 ÷ [(13 – 6) — 6°] + 4 - 2 =​
kvasek [131]

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brainlest plzzzzzz 50

Step-by-step explanation:

pemdas

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6 0
3 years ago
A sample of 200 observations from the first population indicated that X1 is 170. A sam- ple of 150 observations from the second
nikitadnepr [17]

Answer:

a. If the P-value is smaller than the significance level, the null hypothesis is rejected.

b. Pooled proportion = 0.8

c. z = 2.7

d. As the P-value (0.0072) is smaller than the significance level (0.05), the null hypothesis is rejected.

There is enough evidence to support the claim that the proportions differ significantly.

Step-by-step explanation:

This is a hypothesis test for the difference between proportions.

We will use the P-value approach, so the decision rule is that if the P-value is lower than the significance level, the null hypothesis is rejected.

The claim is that the proportions differ significantly.

Then, the null and alternative hypothesis are:

H_0: \pi_1-\pi_2=0\\\\H_a:\pi_1-\pi_2\neq 0

The significance level is 0.05.

The sample 1, of size n1=200 has a proportion of p1=0.85.

p_1=X_1/n_1=170/200=0.85

The sample 2, of size n2=150 has a proportion of p2=0.7333.

p_2=X_2/n_2=110/150=0.7333

The difference between proportions is (p1-p2)=0.1167.

p_d=p_1-p_2=0.85-0.7333=0.1167

The pooled proportion, needed to calculate the standard error, is:

p=\dfrac{X_1+X_2}{n_1+n_2}=\dfrac{170+110}{200+150}=\dfrac{280}{350}=0.8

The estimated standard error of the difference between means is computed using the formula:

s_{p1-p2}=\sqrt{\dfrac{p(1-p)}{n_1}+\dfrac{p(1-p)}{n_2}}=\sqrt{\dfrac{0.8*0.2}{200}+\dfrac{0.8*0.2}{150}}\\\\\\s_{p1-p2}=\sqrt{0.0008+0.00107}=\sqrt{0.00187}=0.0432

Then, we can calculate the z-statistic as:

z=\dfrac{p_d-(\pi_1-\pi_2)}{s_{p1-p2}}=\dfrac{0.1167-0}{0.0432}=\dfrac{0.1167}{0.0432}=2.7

This test is a two-tailed test, so the P-value for this test is calculated as (using a z-table):

P-value=2\cdot P(z>2.7)=0.0072

As the P-value (0.0072) is smaller than the significance level (0.05), the effect is significant.

The null hypothesis is rejected.

There is enough evidence to support the claim that the proportions differ significantly.

6 0
3 years ago
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