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4 years ago

What Is The Next Step In This Construction?

Mathematics

2 answers:

alexira [117]4 years ago

7 0

I believe it B hope that helps............

Dmitry [639]4 years ago

3 0

B is the correct answer

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Sixty percent of U.S. adults trust national newspapers to present the news fairly and accurately. You randomly select nine U.S.

Pavel [41]

Answer:

a) 0.251

b) 0.483

c) 0.0994

Step-by-step explanation:

We are given the following information:

We treat adult adults trusting national newspapers to present the news fairly and accurately as a success.

P(Adult trust) = 60% = 0.6

Then the number of adults follows a binomial distribution, where

$P(X=x) = \binom{n}{x}.p^x.(1-p)^{n-x}$

where n is the total number of observations, x is the number of success, p is the probability of success.

Now, we are given n = 9

a) exactly five

$P(x = 15) = \binom{9}{5}(0.6)^{5}(1-0.6)^{9-5} = 0.2508 \approx 0.251$

b) at least six

We have to evaluate

$P(x \geq 6) = P(x = 6) + P(x = 7) + P(x=8) + P(x=9) \\= \binom{9}{6}(0.6)^6(1-0.6)^3 + \binom{9}{7}(0.6)^7(1-0.6)^2 + \binom{9}{8}(0.6)^8(1-0.6)^1 +\binom{9}{9}(0.6)^9(1-0.6)^0\\= 0.482609 \approx 0.483$

c) less than four

We have to evaluate

$P(x < 4) = P(x = 0) + P(x = 1) + P(x=2) + P(x=3) \\= \binom{9}{0}(0.6)^0(1-0.6)^9 + \binom{9}{1}(0.6)^1(1-0.6)^8 + \binom{9}{2}(0.6)^2(1-0.6)^7 +\binom{9}{3}(0.6)^3(1-0.6)^6\\= 0.099352 \approx 0.0994$

3 0

3 years ago

In ΔTUV, the measure of ∠V=90°, the measure of ∠T=11°, and TU = 30feet. Find the length of UV to the nearest tenth of a foot.

marshall27 [118]

Send us a pciture and we will be able to answer

3 0

3 years ago

Write the equation of the line in slope intercept form that passes through the two points: (1,-6) and (-3,2)

tatiyna

Answer:

y = -2x - 4

Step-by-step explanation:

Formula is y = mx + b where m is the slope and b is the y-intercept

(1, -6) (-3, 2)

$\frac{-6-2}{1-(-3)}=\frac{-8}{4} =-2$

The slope is -2

y = -2x + b

So let's find b, insert 2 for y and -3 for x to find b

2 = -2(-3) + b

2 = 6 + b

Subtract 6 from both sides to get b alone

-4 = b

We found what b equals (the y-intercept), which is -4

So, the equation is y = -2x - 4

Hope this helps and pls do mark me brainliest:)

5 0

3 years ago

A. Rotation of 180º and then a reflection across the x-axis.

Trava [24]

Hope this helps!

Please vote brainliest

3 0

3 years ago

Tina buys 3 7_8 yards of material at the fabric store she uses it to make skirt after word she has 1 3_8 left over how many mate

Nikolay [14]

7/8= 0.875
3/8= 0.375
3.875 - 1.375 = 2.5 or 2 1/2 yards.
Therefore, Tina used 2 1/2 yards to make her skirt

7 0

3 years ago