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3 years ago

5.solve for x. 6.solve for x.

Mathematics

1 answer:

sertanlavr [38]3 years ago

4 0

Answer:

5. The sum of angles in a triangle is 180° so we can write:

9x - 16 + 3x + 11 + 7x - 5 = 180

19x - 10 = 180

19x = 190

x = 10°

6. Because the measure of an exterior angle is equal to the sum of its two remote interior angles we can write:

17x - 23 = 3x + 17 + 8x - 4

17x - 23 = 11x + 13

6x = 36

x = 6°

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Four points partition the directed line segment from A to B. • Point P partitions the directed line segment from A to B into a 3

Alecsey [184]

Answer:

S is closest to B.

Step-by-step explanation:

Given a directed line segment from point A to B.

Point P divides the line A to B in a ratio 3:4.

Point Q divides the line A to B in a ratio 4:3.

Point R divides the line A to B in a ratio 2:5.

Point S divides the line A to B in a ratio 5:2.

To find:

The point which is closest to the point B.

Solution:

Here, to find the point closest to B we need to find the distances PB, QB, RB and SB.

We can see the sum of ratio 3:4, 4:3, 2:5 and 5:2 is 7.

Let the distance between A and B be 7 units.

Now, the distances can be found easily.

$PB = \dfrac{4}{7}\times 7 = 4\ units$

$QB = \dfrac{3}{7}\times 7 = 3\ units$

$RB = \dfrac{5}{7}\times 7 = 5\ units$

$SB = \dfrac{2}{7}\times 7 = 2\ units$

The point which has the minimum distance from point B, will be nearest to B.

We can clearly observe that SB is the minimum distance.

Therefore, <em>S is closest to B</em>.

4 0

2 years ago

Read 2 more answers

Brian, Chris, and Damien took a math test that had 20 questions. The number of questions Brian got right is 14 more than 1/4 the

Minchanka [31]

I believe the answer to your question is A!

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3 years ago

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Two balls are chosen randomly from an urn containing 8 white, 4 black, and 2 orange balls. Suppose that we win $2 for each black

MA_775_DIABLO [31]

Answer:

The objective of the problem is obtained below:

From the information, an urn consists of, 4 black, 2 orange balls and 8 white.

The person loses $1 for each white ball selected, no money is lost or gained for any orange balls picked and win $2 for each black ball selected. Let the random variable X denotes the winnings.

No winnings probability= 0.011

Probability of winning $1=0.3516

Probability of winning $2= 0.0879

Probability of winning $4= 0.0659

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3 years ago

Suppose that we are testing a coin to see if it is fair, so our hypotheses are: H0: p = 0.5 vs Ha: p ≠ 0.5. In each of (a) and (

aleksley [76]

Answer:

$H_0: p = 0.5\\H_a: p \neq 0.5$

a. We get 56 heads out of 100 tosses.

We will use one sample proportion test

x = 56

n = 100

$\widehat{p}=\frac{x}{n}$

$\widehat{p}=\frac{56}{100}$

$\widehat{p}=0.56$

Formula of test statistic = $\frac{\widehat{p}-p}{\sqrt{\frac{p(1-p)}{n}}}$

= $\frac{0.56-0.5}{\sqrt{\frac{0.5(1-0.5)}{100}}}$

= $1.2$

refer the z table for p value

p value = 0.8849

a. We get 560 heads out of 1000 tosses.

We will use one sample proportion test

x = 560

n = 1000

$\widehat{p}=\frac{x}{n}$

$\widehat{p}=\frac{560}{1000}$

$\widehat{p}=0.56$

Formula of test statistic = $\frac{\widehat{p}-p}{\sqrt{\frac{p(1-p)}{n}}}$

= $\frac{0.56-0.5}{\sqrt{\frac{0.5(1-0.5)}{1000}}}$

= $3.794$

refer the z table for p value

p value = .000148

p value of part B is less than Part A because part B have 10 times the number the tosses.

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2 years ago

Jacob is 3 years younger than his friend Noah. Noah is x years old.

irinina [24]

Answer:

x + 4

Step-by-step explanation:

Noah's age = x

Jacob's age = x – 3

In seven years,

Jacob's age = x – 3 + 7

Jacob's age = x + 4

5 0

2 years ago