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2 years ago

The intersection of planes AMR and CMR is a. MR b. AC c. AR d. none of the above

Mathematics

2 answers:

Lera25 [3.4K]2 years ago

5 0

Answer with explanation:

When two planes Intersect a line or line segment is Obtained.

So, When two planes AMR and CMR intersect, there is segment MR which is common between these two planes.

So, The intersection of planes AMR and CMR is

Option A: MR

Maurinko [17]2 years ago

3 0

I believe its either a or d

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Aliun [14]

If you would like to divide 2 by 1 6/7, you can do this using the following steps:

1 6/7 = 13/7

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The correct result would be 1 1/13.

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2 years ago

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2 years ago

Read 2 more answers

Test the given claim. Identify the null hypothesis, alternative hypothesis, test statistic, P-value, and then state the concl

never [62]

Answer:

a) Failed to reject the null hypothesis (P-value=0.09).

b) The 95% CI for the difference in proportions is:

$-0.0599\leq\pi_1-\pi_2\leq0.0124$

Step-by-step explanation:

a) We have to perform a hypothesis test for the difference of proportions.

The null and alternative hypothesis are:

$H_0: \pi_1\geq\pi_2\\\\H_1: \pi_1$

The significance level is 0.05.

The proportion of the passenger cars owners is:

$p_1=\frac{239}{2142} =0.1116$

The proportion of commercial truck owners is:

$p_2=\frac{54}{399}=0.1353$

The weigthed average p is

$p=\frac{n_1p_1+n_2p_2}{n_1+n_2}=\frac{239+54}{2142+399}=0.1153$

The estimated standard deviation is

$s=\sqrt{\frac{p(1-p)}{n_1}+\frac{p(1-p)}{n_2}} =\sqrt{\frac{0.1153(1-0.1153)}{2142}+\frac{0.1153(1-0.1153)}{399}} =0.0174$

We can calculate the z-value as:

$z=\frac{\Delta p}{s}=\frac{0.1116-0.1353}{0.0174}=-1.362$

The P-value for z=-1.362 is P=0.0866.

The P-value (0.09) is greater than the significance level (0.05), so it failed to reject the null hypothesis. There is no enough evidence to prove that commercial trucks owners violate laws requiring front license plates at a higher rate than owners of passenger cars.

b) We can construct a 95% CI, according to the significance level of 0.05.

The z-value for this CI is 1.96.

We have to recalculate the standard deviation:

$\sigma=\sqrt{\frac{p_1(1-p_1)}{n_1} +\frac{p_2(1-p_2)}{n_2}} =\sqrt{\frac{0.1116(1-0.1116)}{2142} +\frac{0.1353(1-0.1353)}{399}} =0.0184$

The lower limit is then:

$LL=(p_1-p_2)-z*\sigma=(0.1116-0.1353)-1.96*0.0184=-0.0238-0.0361\\\\LL=-0.0599$

The upper limit is:

$UL=(p_1-p_2)+z*\sigma=(0.1116-0.1353)+1.96*0.0184=-0.0238+0.0361\\\\UL=0.0124$

The 95% CI for the difference in proportions is:

$-0.0599\leq\pi_1-\pi_2\leq0.0124$

In this case, we can conclude that the difference between the proportions, with 95% confidence, can still be equal or greater than zero, meaning that it is possible passenger car owners violate laws more than truck owners.

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2 years ago

Edin has £300 in his savings account.his bank offers him 5% simple intrest rate ped annum for a period of 3 years.how much intre

Marianna [84]

Answer:

$45

Step-by-step explanation:

We are given the following information;

Money invested (Principal) is $300
Rate of interest is 5% per annum
Time the money is invested is 3 years

We need to determine the amount of interest the money will earn after three years.

Simple interest is calculated by the formula;
Simple interest =(PRT) ÷ 100, Where P is the principal amount, R is the rate of interest and T is the time.

Therefore, in this case;

Simple interest = ($300 × 5 × 3) ÷ 100

= $45

Thus, the money invested earned a simple interest of $45

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2 years ago

Simplify: StartRoot 64 r Superscript 8 Baseline EndRoot

patriot [66]

Answer:

8r^4

Step-by-step explanation:

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5 0

2 years ago