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2 years ago

4

If one of the 1008 subjects is randomly selected, find the probability that the person chosen is a woman given that the person i

s a light smoker. Round to the nearest thousandth.

1 answer:

rosijanka [135]2 years ago

5 0

Answer:

The probability is 0.4841.

Step-by-step explanation:

The provided table is:

From above table, it is known that

Number of subjects are 1008.

The probability that the person chosen is a woman given that the person is a light smoker can be calculated as:

$P(Woman| Light smoker)=\frac{P(Woman and light smoker)}{P(Light smoker)} \\P(Woman| Light smoker)= \frac{\frac{76}{1008} }{\frac{157}{1008} } = 0.4841$

Thus, required probability is 0.4841.

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If m< LMP is 11 degrees more than m< NMP and m< NML =137, find each measure

Agata [3.3K]

First, note that for angles LMP and NMP you have

$m\angle LMP+m\angle NMP=m\angle NML.$

If $m\angle LMP$ is $11^{\circ}$ more than $m\angle MNP,$ then

$m\angle LMP=m\angle NMP+11^{\circ}.$

Now, since $m\angle MNL=137^{\circ},$ you have

$137^{\circ}=m\angle NMP+11^{\circ}+m\angle NMP,\\ \\2m\angle NMP=137^{\circ}-11^{\circ}=126^{\circ},\\ \\m\angle NMP=63^{\circ}.$

Therefore,

$m\angle LMP=63^{\circ}+11^{\circ}=74^{\circ}.$

Answer: $m\angle LMP=74^{\circ},\ m\angle NMP=63^{\circ}.$

7 0

2 years ago

Julie rides her bike from the sports complex to the school. Then she rides from the school to the mall, and then on to the libra

user100 [1]

Answer:

Between the two persons presented above, Julie had ridden farther.

Step-by-step explanation:

This is because from the routes she had taken, she would be covering greater distance compared to Kyle. Julie still ad to ride from the complex to school.

4 0

2 years ago

Line segment ON is perpendicular to line segment ML, and PN = 10.

Ne4ueva [31]

we know that

Triangle MOL is an isosceles triangle

because

$MO=OL=radius\ of\ circle=25\ units$

$ON=25\ units$

$ON=OP+PN\\ 25=OP+10\\ OP=25-10\\ OP=15\ units$

Find the base MP

Applying the Pythagorean Theorem in the right triangle MPO

$MO^{2} =MP^{2}+PO^{2}\\ MP^{2}=MO^{2}-PO^{2}\\ MP^{2}=25^{2}-15^{2}\\ MP^{2}=400\\ MP=20\ units$

$ML=2*MP\\ ML=2*20\\ ML=40\ units$

Find the area of triangle MOL

$A=\frac{1}{2}ML*PO\\ \\ A=\frac{1}{2}*40*15\\ \\ A=300\ unit^{2}$

therefore

the answer is

the area of triangle MOL is

$300$ square units

3 0

2 years ago

Read 2 more answers

One way to measure whether the trees in the Wade Tract are uniformly distributed is to examine the average location in the north

tatyana61 [14]

Answer:

Null hypothesis be H₀ : μ = 100

Alternative hypothesis Hₐ : μ < 100

There is sufficient statistical evidence to suggest that the average location of Wade Tract is 100

Step-by-step explanation:

Here we have;

Let our null hypothesis be H₀ : μ = 100 Average location of trees in the Wade Tract is 100

Our alternative hypothesis becomes Hₐ : μ < 100 at 95% confidence level

Proposed average location in Wade Tract, μ = 100

Sample mean, $\bar x$ = 99.74

Standard deviation, s = 58

Sample size, n = 584

The t test formula is therefore;

$t=\frac{\bar{x}-\mu }{\frac{s }{\sqrt{n}}}$

Therefore, with df = 584 -1 = 583, and α = (1 - 0.95)/2 = 0.025

We have $t_{\alpha /2}$ = -1.65

Plugging in the values into the t test formula, we have t = -0.108338, from which the p-value is given as p = 0.4569 which is much more than the value of α, therefore, we accept the null hypothesis as follows;

There is sufficient statistical evidence to suggest that the average location of Wade Tract = 100.

7 0

2 years ago

In a chemical compound there are three parts zinc for every 16 parts copper by mass. A piece of the compound contains 320 g of c

Orlov [11]

<span>Total mass contains 320g copper. How many parts of 16g copper are there of the total mass of 320g copper? 320/16 = 20. There are 20 portions of 16g copper. (320/16) * 3 = 60g There are 60g of zinc in the compound.</span>

6 0

2 years ago