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3 years ago

1 and 2 are vertical angles. 2 has a measure of 93º. What is the measure of 1 ?

Mathematics

1 answer:

koban [17]3 years ago

7 0

Answer:

93°

Step-by-step explanation:

If angle two is 93° and line 1 and 2 are vertical from each other, angle 1 would be the same measure as angle 2.

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Trina, James, and Michael are training for a 10-kilometer race. After 30 minutes of a training run, Michael lead the group, and

Llana [10]

Answer:

1/3

Step-by-step explanation:

1/2 James' fraction of Michael

2/3 Trina's fraction of James

1/2 x 2/3 = 1/3

5 0

3 years ago

Suppose a consumer group suspects that the proportion of households that have three cell phones NOT known to be 30%. A cell phon

leva [86]

Answer:

We conclude that the actual percentage of households is equal to 30%.

Step-by-step explanation:

We are given that a consumer group suspects that the proportion of households that have three cell phones NOT known to be 30%.

Their marketing people survey 150 households with the result that 43 of the households have three cell phones.

Let p = proportion of households that have three cell phones NOT known.

So, Null Hypothesis, $H_0$ : p = 30% {means that the actual percentage of households is equal to 30%}

Alternate Hypothesis, $H_A$ : p $\neq$ 30% {means that the actual percentage of households different from 30%}

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

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

where, $\hat p$ = sample proportion of households having three cell phones = $\frac{43}{150}$ = 0.29

n = sample of households = 150

So, the test statistics = $\frac{0.29-0.30}{\sqrt{\frac{0.30(1-0.30)}{150} } }$

= -0.27

The value of z test statistic is -0.27.

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

P-value = P(Z < -0.27) = 1 - P(Z $\leq$ 0.27)

= 1 - 0.6064 = 0.3936

Now, at 1% significance level the z table gives critical value of -2.58 and 2.58 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 the actual percentage of households is equal to 30%.

4 0

3 years ago

*REMEMBER THAT ON STANDARD FORM YOU DONT USE FRACTIONS!!!

Novay_Z [31]

Standard form of a linear equation is

Ax + By = C, where A, B, and C are integers.

Add 3 to both sides to get

4x + 4y = 3

3 0

3 years ago

Read 2 more answers

9 is the difference between two numbers, and their sum is 31. Find the numbers.

algol [13]

Answer:

The first number is 20, the second one is 11

Step-by-step explanation:

Let the first number be x and the second number be y

Since it says "9 is the difference between two numbers", the first equation will be x-y=9

It also says that "their sum is 31". That means the second equation will be x+y=31

here are the two equations:

x-y=9

x+y=31

You can solve this any way you like, but I'll show elimination

add the two equations

x-y=9

x+y=31

2x=40

divide by 2

x=20

Substitute 20 as x in one of the equations

20+y=31

subtract 20 from both sides

y=11

That means the two numbers are 20 and 11

Hope this helps!

4 0

3 years ago

Which of the following is the length of the altitude a of the equilateral triangle below?

maria [59]

Answer:

A) $\sqrt{3}$

Step-by-step explanation:

in a 30-60-90 triangle the sides, respectively, are in the ratio of 1 : $\sqrt{3}$ : 2

3 0

2 years ago