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2 years ago

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Assume that ∠A is an acute angle. If sin A = 0.994, use a calculator to find the measure of ∠A to two decimal places. The mea

sure of ∠A = _ degrees.

1 answer:

Sedbober [7]2 years ago

8 0

Basically, you are looking for the ARC SINE of .994 which is
83.72 Degrees
You could also use an online calculator:
http://www.1728.org/trigcalc.htm

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What's the probability of the compound event for. A bag contains 4 red, 8 blue, 6 yellow and 2 green marbles. Maria selects a ma

Nataly [62]

Given:

Number of red marbles = 4

Number of blue marbles = 8

Number of yellow marbles = 6

Number of green marbles = 2

To find:

The probability of getting a blue marble then a red marble, i.e., P(blue, red).

Solution:

Using the given information,

The total number of marbles = 4+8+6+2

= 20

Probability of getting a blue marble in first draw is

$P(Blue)=\dfrac{\text{Number of blue marbles}}{\text{Total number of marbles}}$

$P(Blue)=\dfrac{8}{20}$

$P(Blue)=\dfrac{2}{5}$

Maria selects a marble, puts it back and then selects a second marble. It means the total number of marbles remains the same.

$P(red)=\dfrac{\text{Number of red marbles}}{\text{Total number of marbles}}$

$P(red)=\dfrac{4}{20}$

$P(red)=\dfrac{1}{5}$

Now, the probability of getting a blue marble then a red marble is

$P(blue,red)=\dfrac{2}{5}\times \dfrac{1}{5}$

$P(blue,red)=\dfrac{2}{25}$

Therefore, the required probability P(blue, red) is $\dfrac{2}{25}$ .

5 0

2 years ago

Find the area of the sector.

attashe74 [19]

Answer: C . 147π / 4 mi²

Concept:

The sector is the part of a circle is enclosed by two radii of a circle and their intercepted arc.

A = (θ / 360) πr²

θ = angle of the sector

π = constant

r = radius

Solve:

<u>Given variable</u>

θ = 270°

r = 7 mi

<u>Given formula</u>

A = (θ / 360) πr²

<u>Substitute values into the formula</u>

A = (270 / 360) π (7)²

<u>Simplify exponents</u>

A = (270 / 360) π 49

<u>Simplify by multiplication</u>

A = (147 / 4) π

A = 147π / 4

Hope this helps!! :)

Please let me know if you have any questions

4 0

3 years ago

Help Pls I need the answer to t<br><br><img src="https://tex.z-dn.net/?f=0%3D-16t%5E2%2B704t" id="TexFormula1" title="0=-16t^2+7

Xelga [282]

Answer:

t=0 or t=44

Step-by-step explanation:

There are a few methods to do this, the most obvious being the use of the quadratic formula.

However, a quick check with a calculator or even your mind will reveal that 704 is divisible by 16. Thus we can solve this through factoring.

-16t(t-44)=0

Using the zero factor principle:

-16t=0 and so t=0

t-44=0 and so t=44

And thus we get the solution.

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3 years ago

A right rectangular prism is shown. What shape best describes the cross section cut perpendicular to the base of a right rectang

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3 years ago

As voters exit the polls, you ask a representative random sample of voters if they voted for a proposition. If the true percenta

tresset_1 [31]

Answer:

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Step-by-step explanation:

Consider the provided information.

It is given that true percentage of voters who vote for the proposition is 63%,

Let p is probability of success.

According to the binomial distribution:

$P(x;p,n)=^nC_x(p)^x(1-p)^{(n-x)}$

Substitute n=7, p=0.63 and x=2 in the above formula.

$P(x;p,n)=^7C_2(0.63)^2(1-0.63)^{(7-2)}$

$P(x;p,n)=\frac{7!}{2!5!}(0.3969)(0.37)^{5}\\P(x;p,n)=21(0.3969)(0.37)^{5}\\P(x;p,n)=0.0577974947199\\P(x;p,n)\approx0.057797$

Hence, the probability is 0.057797

8 0

3 years ago