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DochEvi [55]
3 years ago
9

Find the length of the missing side a) 17 cm b) 22 cm c ) 15 cm d) 13 cm

Mathematics
2 answers:
Black_prince [1.1K]3 years ago
5 0

Answer:

Step-by-step explanation:

You just have to use the Pythagorean theorem which is A squared plus B squared = C squared. So you have A and B already so just put it in an equation

A^{2} +B^2=C^2\\5^2+12^2=C^2\\169=C^2\\13=C

Dimas [21]3 years ago
5 0
A^2 + b^2= c^2
5^2 + 12^2= c^2
25 + 144= 169
/169= 13

The answer is D
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Andrews [41]

Answer:

Mai was moving faster.

As, she covered a greater distance in the same amount of time.

Step-by-step explanation:

Given: Mai traveled 15 meters in 6 seconds and Priya travels 22 meters in 10 second.

Calculate the speed of both;

Speed defined as the rate at which an object covers distance.

Speed = \frac{Distance}{Time}

Mai traveled 15 meters in 6 seconds

then;

Speed = \frac{15}{6} = 2.5 m/s

Priya travels 22 meters in 10 second.

then;

Speed = \frac{22}{10} = 2.2 m/s

Reason: Mai traveled faster because she covered a greater distance in the same amount of time.

7 0
3 years ago
A doctor released the results of clinical trials for a vaccine to prevent a particular disease. In these clinical​ trials, 200,0
CaHeK987 [17]

Answer:

1) No, there is  not  enough evidence to support the claim that the vaccine was effective (P-value=0.104) .

The null and alternative hypothesis are:

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

being the subindex 1 for the experimental group and subindex 2 for the control group.

2) Test statistic z=-1.26

Step-by-step explanation:

This is a hypothesis test for the difference between proportions.

The claim is that the vaccine was effective.

Then, the null and alternative hypothesis are:

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

The significance level is 0.01.

The sample 1 (experimental group), of size n1=100000 has a proportion of p1=0.0002.

p_1=X_1/n_1=21/100000=0.0002

The sample 2 (control group), of size n2=100000 has a proportion of p2=0.0003.

p_2=X_2/n_2=30/100000=0.0003

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p_d=p_1-p_2=0.0002-0.0003=-0.0001

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

p=\dfrac{X_1+X_2}{n_1+n_2}=\dfrac{21+30}{100000+100000}=\dfrac{51}{200000}=0.00026

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{0.00026*0.99974}{100000}+\dfrac{0.00026*0.99974}{100000}}\\\\\\s_{p1-p2}=\sqrt{0+0.0000000025}=\sqrt{0.0000000051}=0.000071

Then, we can calculate the z-statistic as:

z=\dfrac{p_d-(\pi_1-\pi_2)}{s_{p1-p2}}=\dfrac{-0.00009-0}{0.000071}=\dfrac{-0.00009}{0.000071}=-1.26

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

P-value=P(z

As the P-value (0.104) is bigger than the significance level (0.01), the effect is not significant.

The null hypothesis failed to be rejected.

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Answer:

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Step-by-step explanation:

<u>Step 1:  Solve for x</u>

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When dividing or multiplying by a negative, the sign flips.

x < -4.5

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Step-by-step explanation:

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