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Snezhnost [94]
3 years ago
6

Find the length of AP inthe diagram below,rounding to the nearest tenth​

Mathematics
1 answer:
tester [92]3 years ago
4 0

Answer:

6.9 to the nearest tenth.

Step-by-step explanation:

Use the external tangent - chord theorem:

AP^2 = CP * BP

AP^2 = 12 * 4 = 48

AP = √48

= 6.928

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According to Brad, consumers claim to prefer the brand-name products better than the generics, but they can't even tell which is
max2010maxim [7]

Answer:

a. There is not enough evidence to support the claim that the proportion that correctly identifies the chip is significantly smaller than 50%.

b. Test statistic z=-1.001

Step-by-step explanation:

This is a hypothesis test for a proportion.

The claim is that the proportion that correctly identifies the chip is significantly smaller than 50%.

Then, the null and alternative hypothesis are:

H_0: \pi=0.5\\\\H_a:\pi

The significance level is 0.01.

The sample has a size n=199.

The sample proportion is p=0.462.

p=X/n=92/199=0.462

The standard error of the proportion is:

\sigma_p=\sqrt{\dfrac{\pi(1-\pi)}{n}}=\sqrt{\dfrac{0.5*0.5}{199}}\\\\\\ \sigma_p=\sqrt{0.001256}=0.035

Then, we can calculate the z-statistic as:

z=\dfrac{p-\pi+0.5/n}{\sigma_p}=\dfrac{0.462-0.5+0.5/199}{0.035}=\dfrac{-0.035}{0.035}=-1.001

This test is a left-tailed test, so the P-value for this test is calculated as:

\text{P-value}=P(z

As the P-value (0.16) is greater than the significance level (0.01), the effect is  not significant.

The null hypothesis failed to be rejected.

There is not enough evidence to support the claim that the proportion that correctly identifies the chip is significantly smaller than 50%.

7 0
4 years ago
Determine whether the results below appear to have statistical​ significance, and also determine whether the results have practi
pantera1 [17]

Answer:

Step-by-step explanation:

Given that in  a study of a weight loss​ program, 4 subjects lost an average of 48 lbs.

It is found that there is about a 32​% chance of getting such results with a diet that has no effect.

The results do not appear to have statistical significance.  The reasons are

1) Sample size of 4 is very small not even meeting the bare minimum

2) Sample of 4 cannot be taken to represent the population

3) Whether bias was there in the selection of sample is not known.

4) Std deviation is not considered which is very important while concluding results.

5 0
3 years ago
Which of the following is a secant?
taurus [48]

A secant is simply a line that intersects the circle at exactly two points.

Therefore, line GH is a secant of circle

B since it intersects the circle ast 2 points.

4 0
4 years ago
Write a polynomial function of least degree with integral coefficients that have the given zeros. 4,-1,6 f(x)=x^3-9x^2+14x+24
AlladinOne [14]

Answer:

see explanation

Step-by-step explanation:

Given the zeros of a polynomial, say x = a, x = b, x = c

Then (x - a), (x - b), (x - c) are it's factors

and the polynomial is the product of the factors

here x = 4, x = - 1, x = 6, hence

(x - 4), (x + 1) and (x - 6) are the factors

f(x) = a(x - 4)(x + 1)(x - 6) ← a is a multiplier

let a = 1, then expanding the first pair of factors

f(x) = (x² - 3x - 4)(x - 6) ← expand out the factors

    = x³ - 3x² - 4x - 6x² + 18x + 24 ← collect like terms

    = x³ - 9x² + 14x + 24



8 0
3 years ago
How much will be profit if an article bought for $ 4 is sold with £3? Given that $1 =Rs 100
marin [14]

Answer:

4$ = 400 Rs

3£ = 450 Rs

Step-by-step explanation:

mark as brainlist answer

7 0
3 years ago
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