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3 years ago

Measuring angles with a protractor

Mathematics

1 answer:

tankabanditka [31]3 years ago

3 0

Answer:

it is about 48 degrees

Step-by-step explanation:

MARK ME BRAINLIEST THANKS MY ANSWER PLEASE

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The Genetics & IVF Institute conducted a clinical trial of the YSORT method designed to increase the probability of conceivi

Reika [66]

Answer: The test statistic needed to test this claim= 10.92

Step-by-step explanation:

We know that the probability of giving birth to a boy : p= 0.5

i..e The population proportion of giving birth to a boy = 0.5

As per given , we have

Null hypothesis : $H_0: p\leq0.5$

Alternative hypothesis : $H_a: p>0.5$

Since $H_a$ is right-tailed , so the hypothesis test is a right-tailed z-test.

Also, it is given that , the sample size : n= 291

Sample proportion: $\hat{p}=\dfrac{239}{291}\approx0.82$

Test statistic : $z=\dfrac{\hat{p}-p}{\sqrt{\dfrac{p(1-p)}{n}}}$ , where n is sample size , $\hat{p}$ is sample proportion and p is the population proportion.

$\Rightarrow\ z=\dfrac{0.82-0.5}{\sqrt{\dfrac{0.5(1-0.5)}{291}}}\approx10.92$

i.e. the test statistic needed to test this claim= 10.92

Critical value ( one-tailed) for 0.01 significance level = $z_{0.01}=2.326$

Decision : Since Test statistic value (10.92)> Critical value (2.326), so we reject the null hypothesis .

[When test statistic value is greater than the critical value , then we reject the null hypothesis.]

Thus , we concluded that we have enough evidence at 0.01 significance level to support the claim that the YSORT method is effective in increasing the likelihood that a baby will be a boy.

7 0

3 years ago

which of the following is a point slope equation of a line with the point (-6,2) and a slope of 1/2?

wariber [46]

Answer:

y - 2 = 1/2(x + 6)

General Formulas and Concepts:

Algebra I

Point-Slope Form: y - y₁ = m(x - x₁)

x₁ - x coordinate
y₁ - y coordinate
m - slope

Step-by-step explanation:

Step 1: Define

Identify

Point (-6, 2)

Slope m = 1/2

Step 2: Find

Substitute in variables [Point-Slope Form]: y - 2 = 1/2(x - -6)
Simplify: y - 2 = 1/2(x + 6)

3 0

3 years ago

There is a spinner with 14 equal areas, numbered 1 through 14. If the spinner is spun one time, what is the probability that the

vfiekz [6]

Answer:

Probability that the result is a multiple of 4 or a multiple of 3= 0.428

Step-by-step explanation:

The spinner is divided into 14 equal areas.

Probability of an event= $\frac{number of favourable outcomes}{total number of outcomes}$

For favourable events,result should be a multiple of 3 or 4.

All the possible outcomes are=1,2,3,4,5,6,7,8,9,10,11,12,13,14

Multiples of 3=3,6,9,12

Multiples of 4=4,8,12

Hence the favourable outcomes are=3,4,6,8,9,12

Number of favourable outcomes=6

Total number of outcomes=14

Probability= $\frac{6}{14}$

=0.428

5 0

3 years ago

Is x=4 a solution to the equation 6=x+2? Is it a solution to the inequality 2x≥9?

jek_recluse [69]

Answer:

Is x = 4 a solution to the equation 6 = x + 2? YES

Is x = 4 a solution to the inequality 2x ≥ 9? NO

Step-by-step explanation:

Is x = 4 a solution to the equation 6 = x + 2? YES

we cans solve the equation 6=x+2 by clearing for x:

6 = x + 2

we move the +2 on the right as a -2 to the left:

6 - 2 = x

4 = x

this way we find that indeed x = 4 is a solution to 6 = x + 2.

Is x = 4 a solution to the inequality 2x ≥ 9? NO

Let's solve the inequality by clearing for x:

2x ≥ 9

we move the 2 that is multiplying on the left to divide on the right side:

x ≥ 9/2

x ≥ 4.5 ⇒ x must be greater than or equal to 4.5

thus, 4 is not a solution to the inequality because 4 is less than 4.5

3 0

3 years ago

Find the sum of the first 990 positive even integers calculator

Tema [17]

Use the sequence formula and the answer will be 981,090.

6 0

3 years ago

Measuring angles with a protractor​

Measuring angles with a protractor