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3 years ago

Can someone please help me and explain how to solve this question

Mathematics

1 answer:

Alex3 years ago

7 0

I see this triangle is isosceles. Thus, it has 2 sides of length 8 and 2 angles of measure 30 degrees.

(30 deg) + (30 deg) + (angle A) MUST add up to 180 degrees.

Thus, 60 deg + Angle A = 180 deg, so that Angle A = (180 - 60) deg, or 120 deg (answer)

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In a program designed to help patients stop smoking. 192 patients were given to sustained care, and 80.2% of them were no longer

stira [4]

Answer:

We conclude that 80% of patients stop smoking when given sustained care.

Step-by-step explanation:

We are given that in a program designed to help patients stop smoking. 192 patients were given to sustained care, and 80.2% of them were no longer smoking after one month.

Let p = percentage of patients stop smoking when given sustained care.

So, Null Hypothesis, $H_0$ : p = 80% {means that 80% of patients stop smoking when given sustained care}

Alternate Hypothesis, $H_A$ : p $\neq$ 80% {means that different from 80% of patients stop smoking when given sustained care}

The test statistics that would be used here One-sample z test for proportions;

T.S. = $\frac{\hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ ~ N(0,1)

where, $\hat p$ = sample proportion of patients who stop smoking when given sustained care = 80.2%

n = sample of patients = 192

So, the test statistics = $\frac{0.802-0.80}{\sqrt{\frac{0.802(1-0.802)}{192} } }$

= 0.07

The value of z test statistics is 0.07.

Also, P-value of the test statistics is given by the following formula;

P-value = P(Z > 0.07) = 1 - P(Z $\leq$ 0.07)

= 1 - 0.52790 = 0.4721

Now, at 0.05 significance level the z table gives critical values of -1.96 and 1.96 for two-tailed test.

Since our test statistic lies within the range of critical values of z, so we have insufficient evidence to reject our null hypothesis as it will not fall in the rejection region due to which we fail to reject our null hypothesis.

Therefore, we conclude that 80% of patients stop smoking when given sustained care.

8 0

3 years ago

What number is 1/10 the vaule of 237

Nady [450]

23.7 is 1/10 the value of 237

3 0

3 years ago

WORTH 30 PTS PLS ANSWER ASAP.

andrew11 [14]

Assuming that X represents the number of hours worked and f(x) the number of cars washed, the equation would be f(x)=11x+14x.

The 11x represents the number of cars washed by Arianna in x number of hours and the 14x represents the number of cars washed by Matthew in x number of hours. You add the two because they are each washing their own car at their own pace but working on one lot.

4 0

3 years ago

Read 2 more answers

Jess has 32 dollars to spend at the festival she spends 6 dollars on food and the rest on games. If each game costs 2 dollars ho

Oksanka [162]

She plays 8 games with a total of $1 as a remainder!

7 0

3 years ago

Wait times for a bus follow a uniform distribution over the interval 0 to 10 minutes. Determine the probability that a person wi

natima [27]

Answer:

P(x=4) = 0.4

Step-by-step explanation:

The density function of a continuous r.v is called a uniform distribution when between the end points any two sub intervals of the same length containing X, have the same probability.

f(x)= 1/ b-a a≤ x≤ b

Here a = 0 and b= 10 but we want to know the probability of wait time between 4 minutes and 10 minutes

P (X=x) = (x-a) 1/(b-a)

P(x=4) = (4-0) 1/ 10-0

= 4/10= 0.4

7 0

2 years ago