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jeka57 [31]
3 years ago
8

Use the diagram. AB is a diameter and AB perpendicular to CD. The figure is not drawn to scale. Which statement is NOT true?

Mathematics
2 answers:
drek231 [11]3 years ago
8 0
A. The arc length AC is not congruent to arc BD.
Sindrei [870]3 years ago
4 0

Answer:

arc AC is congruent to arc BD

Step-by-step explanation:

By drawing the perpendicular CD we get some congruent triangles, first we have ΔACP = ΔADP.

Thus, since these two triangles are congruent, we have that their sides and angles are congruent.

So, AC = AD

But we also got the congruent triangles ΔCPB and ΔDPB, where we will have congruent angles and sides:

So, ∠PBC = ∠DBP = ∠DBA

Finally, we get the congruent triangles ΔABC and ΔABD where ∠BDA = ∠ACB

Thus the statement which is not true is that arc AC is congruent to arc BD

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Irina-Kira [14]

Answer:

The answer is x= -10

3 0
3 years ago
Help Me Please (30 Points) + Brainliset Answer
Pani-rosa [81]
Each of 4 friends has 2 balloons
4 x 2 = 8

herself has one

so 8 + 1 = 9

answer: Total 9  balloons
8 0
3 years ago
Read 2 more answers
Hypothesis Testing for Means with Small Samples
Scorpion4ik [409]

Answer:

Step-by-step explanation:

Hello!

The variable of interest is

X: volume of root beer in a Windsor Bottling Company can.

A sample of n=24 cans was taken and their contents measured, resulting:

X[bar]= 11.4 oz

S= 0.62 oz

Assuming that the variable has a normal distribution X~N(μ;σ²), the parameter of interest is the average contents of the root beer cans of the Windsor Bottling Company (μ)

The claim is that the population mean content of the cans is different from 12 oz, symbolically: μ ≠ 12

The statistical hypothesis (Null and alternative) have to be complementary, exhaustive and mutually exclusive. The null hypothesis is the "no change" hypothesis and always carries the "=" sign.

If the claim is μ ≠ 12, its complement is μ = 12, the expression carrying the "=" sign will be the null hypothesis and its complement will be the alternative hypothesis:

H₀: μ = 12

H₁: μ ≠ 12

α: 0.05

To test the population mean of this normal population, you have to apply a one sample t-test, with statistic:

t= \frac{X[bar]-Mu}{\frac{S}{\sqrt{n} } } ~t_{n-1}

t_{H_0}= \frac{11.4-12}{\frac{0.62}{\sqrt{24} } } = -4.74

This test is two-tailed, using the critical value approach, you have to determine two rejection regions. Meaning, you'll reject the null hypothesis to small values of the statistic or to high values of the statistic.

t_{n-1;\alpha /2}= t_{23;0.025}= -2.069

t_{n-1;1-\alpha /2}= t_{23;0.975}= 2.069

The decision rule is:

If t_{H_0} ≤ -2.069 or if t_{H_0} ≥ 2.069, then you reject the null hypothesis.

If -2.069 < t_{H_0} < 2.069, then you do not reject the null hypothesis.

The value is less than the left critical value, the decision is to reject the null hypothesis.

Then you can say that with a 5% significance level, there is significant evidence to reject the null hypothesis, then the average amount of root beer of the Windsor Bottling Company is different from 12 oz, this means that the claim about the amount of root beer in the cans is correct.

I hope it helps!

6 0
3 years ago
A cube is numbered 1 through 6. If the cube is rolled twice, how many of the possible outcomes will have two even numbers? 3 9 1
mixer [17]
So 3/6 of the numbers on a cube are even. It will be rolled twice so you multiply 3/6 by 3/6 and get 9/36. This means 9 of the 36 possible outcomes will have 2 even numbers. It could be 2 and 2, 2 and 4, 2 and 6, and so on.
3 0
2 years ago
Read 2 more answers
Mary applies for a loan with a 7.9% interest rate.
Arisa [49]

Answer:

0.079

Step-by-step explanation:

7.9% written as a decimal is 0.079.

3 0
3 years ago
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