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BigorU [14]
2 years ago
15

8h-6g+12h+8g Simplify

Mathematics
2 answers:
Yuri [45]2 years ago
8 0

Answer:

20h + 2g

Step-by-step explanation:

8+12=20

-6+8=2

IrinaK [193]2 years ago
4 0

Answer : 20h + 2g

Just combine like terms

(8h + 12h) + (-6g + 8g)

20h + 2g

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According to Gallup’s annual poll on personal finances, while most U.S. workers reported living comfortably now, many expected a
tester [92]

Answer:

- The required percentage to 4 d.p. = 59.5126%

- The required percentage in decimal point to 4 d.p. = 0.5951

Step-by-step explanation:

Proportion that said they have enough money to live comfortably now and expected to do so in the future = 55% = 0.55

Sample size = n = 200

The Central Limit Theorem ensures that we can say that:

1) The sample proportion is equal to the population proportion.

p = μₓ = μ = 0.55

2) Standard Deviation of the sampling distribution = σₓ = √[p(1-p)/n] = √(0.55×0.45/200) = 0.0352

3) We can say that the sample distribution approximates a normal distribution especially when

np > 5 and nq > 5 (which is true for this sample size)

The probability is 90% that less than what sample percentage will say they expect to live comfortably

To find this sample percentage, let that that sample percentage be x' and its z-score be z'

z' = (x' - μ)/σₓ

But we are told that

P(z < z') = 90% = 0.90

Using the normal distribution table

z' = 1.282

1.282 = (x' - 0.55)/0.0352

x' = 0.55 + (0.0352×1.282) = 0.5951264

Hence, the required sample percentage = 59.5126% to 4 d.p.

Hope this Helps!!!

7 0
3 years ago
Rewrite each expression by combining like terms. <br> 13p - 4p + 6q
Dovator [93]

Answer:

You answer would be 15p

Step-by-step explanation:

13p - 4p + 6p

9p + 6p

15p

7 0
2 years ago
Read 2 more answers
Find the size of the angle marked a and b on the diagram
Lana71 [14]

Answer:

Step-by-step explanation:

we know that the total angles around the big triangle are 180° so,  we know the right angle is 90° and we are told that one of the angles is 52° so just find the last angle by

180 = 90 + 52 + X

180 - 90 - 52 = X

38 = X

b = 38°

a = 52°

5 0
2 years ago
Read 2 more answers
Use the information to answer the question. Sabrina walked from her home to the library she stopped to pick up a book, and then
Tomtit [17]

Answer:

30 minutes to 40 minutes.

Step-by-step explanation:

From the graph attached,

Distance of Sabrina from her home has been given on y-axis and time taken is on x-axis.

Sabrina's walked 2 miles to reach the library in the duration = 30 - 0

= 30 minutes

She stayed at the library from 30 minutes to 40 minutes (Represented by the straight horizontal line).

Then the third segment represents the journey of Sabrina from library to home.

Therefore, Sabrina was at the library between 30 minutes to 40 minutes.

7 0
3 years ago
A road has a 10% grade, meaning increasing 1 unit of rise to every 10 units of run.
fenix001 [56]

The grade is the ratio of rise to run, i.e. the slope aka the tangent.

\tan \theta = \dfrac{1}{10}

\theta = \arctan 0.1 \approx 5.711^\circ

Answer: (a) 6 degrees

For part b, the road is the hypotenuse c of a right triangle whose tangent of the small angle is 1/10.    The height h or rise is the side opposite the small angle.

\sin\theta = \dfrac h c

h = c \sin \theta

We could just take the sine of the angle we got but let's get it from the tangent exactly.

\cos^2 \theta + \sin ^2 \theta = 1

Dividing by squared cosine

1 + \tan ^2 \theta = 1/\cos^2 \theta = 1/(1- \sin^2 \theta)

(1- \sin^2 \theta) = 1/(1 + \tan^2 \theta)

\sin^2 \theta = 1 - 1/(1 + \tan^2 \theta)

\sin^2 \theta = 1 - 1/(1 + (1/10)^2) = 1-1/(101/100) = 1/101

h = c \sin \theta = 2 \sqrt{1/101} \approx 0.199

Answer: (b) Rise of 0.199 km

6 0
3 years ago
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