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4 years ago

X - (4x - 7) = 5x - (x + 21)

1 answer:

8 0

$x-(4x-7)=5x-(x+21)\ \ \ \ | omit\ the\ brackets\\\\
x-4x+7=5x-x-21\\\\
-3x+7=4x-21\ \ \ | subtract\ 4x\\\\
-7x+7=-21\ \ \ | subtract\ 7\\\\
-7x=-28\ \ \ | divide\ by\ -7\\\\
x=4$

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In a sample of 150 cars, 18 cars failed a safety inspection. The sampling method had a margin of error of 0.02

mestny [16]

Answer:

(Lower limit, Upper limit) = (0.10, 0.14)

(Lower limit, Upper limit) = (10%, 14%)

Step-by-step explanation:

Total number of cars = 150

Cars that failed the safety inspection = 18

The proportion is given by

p = 18/150

p = 0.12

p = 12%

The confidence interval is given by

p ± margin of error

Where margin of error is 0.02

0.12 ± 0.02

Lower limit = 0.12 - 0.02

Lower limit = 0.10

Lower limit = 10%

Upper limit = 0.12 + 0.02

Upper limit = 0.14

Upper limit = 14%

(Lower limit, Upper limit) = (0.10, 0.14)

(Lower limit, Upper limit) = (10%, 14%)

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3 years ago

If cos A = 3 over 11, then which of the following is correct?

ziro4ka [17]

Answer: The answer is (a) sec A = 11 over 3.

Step-by-step explanation: Given that Cosine of an angle 'A' is 3 over 11,

i.e.,

$\cos A=\dfrac{3}{11}.$

And we need to find which one of the given four options is correct.

We have the following relations between cosine, secant and cosecant of an angle from trigonometry.

$\sec A=\dfrac{1}{\cos A}~~\textup{and}~~\csc A=\dfrac{1}{\sqrt{1-\cos^2 A}}.$

Therefore,

$\sec A=\dfrac{11}{3}$

and

$\csc A=\dfrac{1}{\sqrt{1-\frac{9}{121}}}=\dfrac{1}{\sqrt{\frac{112}{121}}}=\dfrac{11}{4\sqrt 7}.$

Thus, the correct option is (a) sec A = 11 over 3.

3 0

4 years ago

Solve for the following proportion for v.

ludmilkaskok [199]

Answer:

20/ 11 and if u want it in decimal it's 1.818182

6 0

3 years ago

Read 2 more answers

Josh works for The Milkshake Diner. The company wants to know which milkshake flavor is the most popular. Today, he surveyed

AlekseyPX

its b i think please vote me i need points

6 0

3 years ago

What is the product? One-eighth times three-elevenths 3 over 88 1 over 22 4 over 19 35 over 88

kipiarov [429]

Answer:

$\frac{3}{88}$

Step-by-step explanation:

Given

One-eighth times three-elevenths

Required

Solve

One-eighth means 1/8

Three-elevenths means 3/11

So, mathematically; the above expression is represented as thus:

$\frac{1}{8} * \frac{3}{11}$

To solve this, we simply multiply the numerator and the denominator together.

After multiplying these together, the next is to check if the resulting can be simplified

If yes,we simplify it and if otherwise, we live it like that.

So,

$\frac{1}{8} * \frac{3}{11}$

$=\frac{1 * 3}{8 * 11}$

$= \frac{3}{88}$

At this point, the fraction can't be simplified any further.

Hence,

$\frac{1}{8} * \frac{3}{11} = \frac{3}{88}$

3 0

3 years ago