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pickupchik [31]
3 years ago
7

Solve for x: 1 over 4 (2x − 14) = 4. (1 point)

Mathematics
2 answers:
spin [16.1K]3 years ago
4 0

Answer:

-3 over 4=x

Step-by-step explanation:

x:1÷4(2x+4)=4

x over 1÷4(2x+4)=4

x over 1×1 over 4(2x+4)=4

x over 4(2x+4)=4

x=4×4(2x+4)

x=32x+64

x-64=32x

-64 over 32= 2x

-3 over 2=2x

-3 over 2÷2=x

-3 over 2 × 1 over 2=x

-3 over 4 =x

i am not sure about my answer tho

Ksju [112]3 years ago
3 0

\frac{1}{4}(2x - 14)=4\\\\2x-14=16\\\\2x=16+14\\\\2x=30\\\\x=15

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What is the probability a sample of 90 test takers will provide a sample mean test score within 10 points of the population mean
Elena-2011 [213]

Answer:

0.658 is the probability that a sample 90 test takers will provide a sample mean test score within 10 points of the population mean of 502.

Step-by-step explanation:

The following information is missing:

The standard deviation of population is 100.

We are given the following information in the question:

Population mean, μ = 502

Standard Deviation, σ = 100

Sample size, n  = 90

Standard error =

\dfrac{\sigma}{\sqrt{n}} = \dfrac{100}{\sqrt{90}} =  10.54

Formula:

z_{score} = \displaystyle\frac{x-\mu}{\sigma}

P(test score within 10 points)

P(492 \leq x \leq 512) \\\\= P(\displaystyle\frac{492 - 502}{10.54} \leq z \leq \displaystyle\frac{512-502}{10.54}) \\\\= P(-0.9487 \leq z \leq 0.9487)\\= P(z \leq 0.9487) - P(z < -0.9487)\\= 0.829 -0.171 = 0.658 = 65.8\%

P(492 \leq x \leq 512) = 65.8\%

0.658 is the probability that a sample 90 test takers will provide a sample mean test score within 10 points of the population mean of 502.

7 0
3 years ago
-2x + 8 = 18 please help. What does x equal
kakasveta [241]

Answer:

x = -5

Step-by-step explanation:

Step 1: Write equation

-2x + 8 = 18

Step 2: Solve for <em>x</em>

  1. Subtract 8 on both sides: -2x = 10
  2. Divide both sides by -2: x = -5

Step 3: Check

<em>Plug in x to verify it's a solution.</em>

-2(-5) + 8 = 18

10 + 8 = 18

18 = 18

6 0
3 years ago
Read 2 more answers
Write in the simplest form.<br> -4/7 ÷ 8/9
RSB [31]

Answer:

-9/14

Step-by-step explanation:

5 0
3 years ago
Find the circumference of the pizza to the nearest tenth.
mote1985 [20]

Answer:

C=2πr

r=D/2=10/2=5

C=2×3.14×5

C=31.4in

7 0
3 years ago
Which measure is of an angle that is conterminal with a 95 degree angle
timofeeve [1]

Answer: Choice B

95 - 1080n for any integer n

=================================================

Explanation:

Notice how 1080 is a multiple of 360 since 360*3 = 1080. The other values 1450, 780 and 340 are not multiples of 360. For example 1450/360 = 4.02777 approximately. We need a whole number result to show it is a multiple.

Therefore, choice B shows subtracting off a multiple of 360 from the original angle 95. In my opinion, it would be better to write 95+360n or 95-360n to make it more clear we are adding or subtracting multiples of 360.

Choice B will find coterminal angles, but there will be missing gaps. One missing coterminal angle is 95-360 = -265 degrees. So again, 95-360n is a more complete picture. I can see what your teacher is going for though.

8 0
4 years ago
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