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3 years ago

Hey can some one help me, Define a variable and write each phrase as an algebraic expression:

Mathematics

1 answer:

Elena L [17]3 years ago

8 0

Answer:

1. d - 6 ft

where d is the width

2. t + 6 h/week

where t is the amount of time per week Theodore studies

3. t’ - 6 a

where t’ is Tracy’s age

4. (k/3) - 2

where k is the points that the panthers scored

Step-by-step explanation:

Write the variable and do the operations as described!

“less than” means subtraction, “more […] than” means addition and “one-third of” means division by 3.

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Among 320 randomly selected airline travelers, the mean number of hours spent travelling per year is 24 hours and the standard d

Ostrovityanka [42]

The margin of error of the random selection is 0.29

The given parameters are:

$n = 320$ --- the sample size

$\sigma = 2.9$ --- the standard deviation

$\bar x = 24$ --- the mean

$\alpha = 90\%$ --- the confidence level.

The margin of error (E) is calculated as follows:

$E = z \times \sqrt{\frac{\sigma^2}{n}}$

So, we have:

$E = z \times \sqrt{\frac{3.2^2}{320}}$

$E = z \times \sqrt{\frac{10.24}{320}}$

The z-value for 90% confidence level is 1.645.

Substitute 1.645 for z

$E = 1.645 \times \sqrt{\frac{10.24}{320}}$

$E = 1.645 \times \sqrt{0.032}$

Take square roots

$E = 1.645 \times 0.1789$

Multiply

$E = 0.2943$

Approximate

$E = 0.29$

Hence, the margin of error is 0.29

Read more about margin of error at:

brainly.com/question/14396648

5 0

2 years ago

Read 2 more answers

Solve for x: 3(x + 1) = −2(x − 1) + 6.

Firlakuza [10]

The answer would be x=1

8 0

3 years ago

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In ΔNOP, the measure of ∠P=90°, the measure of ∠N=59°, and PN = 7.4 feet. Find the length of OP to the nearest tenth of a foot.

lina2011 [118]

Answer:

12.3 feet.

Step-by-step explanation:

As we are given that $\triangle NOP$ is an right angled triangle.

$\angle P = 90 ^\circ \\\angle N = 59 ^\circ\\Side\ PN = 7.4 \text{ feet}$

And we have to find out the value of side OP to the nearest tenth of a foot by rounding off the value as seen in the attached figure as well.

By using Trigonometric functions in a right angled $\triangle$ , we know that:

$tan \theta = \frac{Perpendicular}{Base}$

Here, $\theta$ is $\angle N$ , Perpendicular is side OP and Base is side PN.

So, $tan 59^\circ = \frac{OP}{PN}$

$\Rightarrow OP = PN \times tan59^\circ$

Putting the values of PN and $tan59^\circ$ .

$OP = 1.66 \times 7.4\\\Rightarrow OP = 12.3 ft$

Hence, the value of OP is $12.3\ feet$ .

8 0

3 years ago

Complete the sentence. 13 is 65% of _____

mart [117]

The answer : 20%
Hope it help u

8 0

3 years ago

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I WILL LITERALLY GIVE OUT 50 POINTS FOR THIS!!!!

kaheart [24]

Answer: B) -3

Step-by-step explanation:

X<-11/3 if u divide -11/3 = is about -3.6666

3 0

3 years ago

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