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anygoal [31]
3 years ago
11

Please help in finding x.

Mathematics
2 answers:
sesenic [268]3 years ago
6 0
<h2>Solving Equations</h2><h3>Answer:</h3>

x = 20

<h3>Step-by-step explanation:</h3>

Given:

\sqrt{\frac{4 +x}{6}} = 2\\

Solution:

\sqrt{\frac{4 +x}{6}} = 2 \\ (\sqrt{\frac{4 +x}{6}})^2 = (2)^2 \\ \frac{4 +x}{6} = 4 \\ \frac{4 +x}{6} \times 6 = 4 \times 6 \\ 4 +x =24 \\ 4 +x -4 \\ 24 -4 \\ x = 20

inna [77]3 years ago
5 0

Answer:

x=20

Step-by-step explanation:

Square both sides

4+x/6=4

4+x=4*6

x=24-4

x=20

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Which equation in point-slope form contains the point (–3, 5) and has slope –1? y + 3 = –1(x – 5) y – 5 = –1(x + 3) y – 3 = –1(x
andreev551 [17]

Answer:

y - 5 = -1(x + 3)

Step-by-step explanation:

Point slope form

y - y1 = m(x - x1) where m = slope and passing through point (x1 , y1)

In this case if the equation in point-slope form contains the point (–3, 5) and has slope –1 then the equation should be:

y - 5 = -1(x - (-3))

y - 5 = -1(x + 3)

5 0
3 years ago
the mean of normally distributed test scores is 80 and the standard division is 5. If there are 186 test scores in the data samp
Marizza181 [45]

Answer:

63

Step-by-step explanation:

score 75 is one standard dev below the mean ====>to the mean  encompasses approx 34% of scores

.34 * 186 = 63

5 0
2 years ago
Ten young adults living in California rated the taste of a newly developed sushi pizza topped with tuna, rice, and kelp on a sca
timurjin [86]

Answer: For California: μ = 33.1; σ² = 1120.50; Range = 32;

For Iowa: μ = 24.5; σ² = 32.73; Range = 19

Step-by-step explanation:

Mean is the average of a population or a sample. It is defined as

μ = ∑x / n, where

x is each number of the set;

n is the total individuals in the sample.

Calculating the <u>Mean</u> for sample of taste of pizza in <u>California</u>:

μ₁ = \frac{34+39+40+46+33+31+34+14+15+45}{10} = 33.1

Calculating the <u>Mean</u> for the sample in Iowa:

μ₂ = \frac{28+25+35+16+25+29+24+26+17+20}{10} = 24.5

Variance measures how far the number in the set is from the mean. Its formula is

σ² = (∑x-μ)² / n -1

which means to find the variance, you have to get the difference between the number and the mean, square the result, add all of them and then divide by (n-1) individuals.

The <u>Variance</u> for the sample in <u>California</u> is

σ² = \frac{(34 - 33.1)^{2}+(39-33.1)^{2}+(40-33.1)^{2}+(46-33.1)^{2}+(33-33.1)^{2}+(34-33.1)^{2}+(14-33.1)^{2}+(15-33.1)^{2}+(45-33.1)^{2}}{9}σ² = 120.50

The <u>Variance</u> for the sample in <u>Iowa</u> is

σ² = 32.73

Range is the difference between the highest and the lowest number of the set: range = highest - lowest

For the sample in <u>California</u>, the <u>Range</u> is

range = 46 - 14 = 32

For the sample in Iowa:

range = 35 - 16 = 19

For California:

  • Mean = 33.1;
  • Variance = 120.50;
  • Range = 32;

For Iowa:

  • Mean = 24.5;
  • Variance = 32.73;
  • Range = 19;

<u />

6 0
3 years ago
What is the formula to find the volume of the solid ?
tester [92]

Answer:

Step-by-step explanation:

This solid figure is a cone,

Volume=(πr²H)/3 cubic units

r ----> radius

H -------> height

6 0
3 years ago
If A = 3x power 2+2y + 2 and B=6x power 2 - 8y + 1 then A+B and A-B​
ollegr [7]

Answer:

see explanation

Step-by-step explanation:

Given A = 3x² + 2y + 2 and B = 6x² - 8y + 1 , then

A + B

= 3x² + 2y + 2 + 6x² - 8y + 1 ← collect like terms

= 9x² - 6y + 3

-------------------------------

A - B

= 3x² + 2y + 2 - (6x² - 8y + 1) ← distribute parenthesis by - 1

= 3x² + 2y + 2 - 6x² + 8y - 1 ← collect like terms

= - 3x² + 10y + 1

5 0
3 years ago
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