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Dafna11 [192]
3 years ago
10

What is the value of x in the equation? –30 = 3x + 21

Mathematics
1 answer:
Sergio039 [100]3 years ago
4 0

Answer:

-17

Step-by-step explanation:

as the picture says I have moved 21 so that the numbers are together and it's easier to solve then you move 3 to divide it on the other side and x is left alone.

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What is 1 over 4 multiplied by 7 over 2
ziro4ka [17]

Answer:

7/8

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
1. A point on the ground is 50 feet from my house. The angle of elevation to the top of the house is 48 Find the height of the h
Georgia [21]

Answer:

(1)55.5 feet

(2)7.5 feet

Step-by-step explanation:

<u>Question 1</u>

The diagram is attached below.

Using Trigonometric ratio

\tan 48^\circ = \dfrac{h}{50} \\h=50 \times \tan 48^\circ\\h=55.5$ feet (to the nearest tenth)

The height of the house is 55.5 feet to the nearest tenth.

<u>Question 2</u>

In the diagram, we are required to find the distance the bird must fly to be directly above the fish. This has been represented by x.

Using Trigonometric ratio

\tan 15^\circ = \dfrac{2}{x} \\x \tan 15^\circ=2\\x=2 \div \tan 15^\circ\\x=7.5 $ feet (to the nearest tenth)

The distance the bird must fly to be directly above the fish is 7.5 feet.

6 0
3 years ago
Estimate $0.89 ×14 find each product
viva [34]
The product of $0.89 x 14 equals 12.46
5 0
3 years ago
Tim walks at a pace of 80 meters per minute. His school is 4 km away. If school begins at 8:00, what time does Tim need to leave
Naya [18.7K]

Answer:

7:10

Step-by-step explanation:

did the math

5 0
2 years ago
Read 2 more answers
"A cable TV company wants to estimate the percentage of cable boxes in use during an evening hour. An approximation is 20 percen
Marizza181 [45]

Answer:

The company should take a sample of 148 boxes.

Step-by-step explanation:

Hello!

The cable TV company whats to know what sample size to take to estimate the proportion/percentage of cable boxes in use during an evening hour.

They estimated a "pilot" proportion of p'=0.20

And using a 90% confidence level the CI should have a margin of error of 2% (0.02).

The CI for the population proportion is made using an approximation of the standard normal distribution, and its structure is "point estimation" ± "margin of error"

[p' ± Z_{1-\alpha /2} * \sqrt{\frac{p'(1-p')}{n} }]

Where

p' is the sample proportion/point estimator of the population proportion

Z_{1-\alpha /2} * \sqrt{\frac{p'(1-p')}{n} } is the margin of error (d) of the confidence interval.

Z_{1-\alpha /2} = Z_{1-0.05} = Z_{0.95}= 1.648

So

d= Z_{1-\alpha /2} * \sqrt{\frac{p'(1-p')}{n} }

d *Z_{1-\alpha /2}= \sqrt{\frac{p'(1-p')}{n} }

(d*Z_{1-\alpha /2})^2= \frac{p'(1-p')}{n}

n*(d*Z_{1-\alpha /2})^2= p'(1-p')

n= \frac{p'(1-p')}{(d*Z_{1-\alpha /2})^2}

n= \frac{0.2(1-0.2)}{(0.02*1.648)^2}

n= 147.28 ≅ 148 boxes.

I hope it helps!

3 0
3 years ago
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