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4 years ago

Which value of x makes 7+5 (x-3)=22 a true statement

Mathematics

2 answers:

attashe74 [19]4 years ago

7 0

Answer:

x = 6

Step-by-step explanation:

7 + 5(x - 3) = 22

First, distribute the 5 on the left side.

7 + 5x - 15 = 22

Now, combine like terms on the left side.

5x - 8 = 22

Add 8 to both sides.

5x = 30

Divide both sides by 5.

x = 6

slavikrds [6]4 years ago

6 0

Answer:

x=6

Step-by-step explanation:

7+5 (x-3)=22

Subtract 7 from each side

7-7+5 (x-3)=22-7

5(x-3) = 15

Divide each side by 5

5(x-3)/5 = 15/5

x-3 = 3

Add 3 to each side

x-3+3=3+3

x=6

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Bas_tet [7]

Answer:

a) We reject H₀ We find difference between the mean of the two groups

b) we accept H₀ : There is no statistical difference ( in the scale of pain) when the difference in samples means is 1

Step-by-step explanation:

Group 1: Only with educational material

Sample size n₁ = 42

Sample mean x₁ = 3,2

Sample standard deviation s₁ = 2,3

Group 2: With exercises with the treatment of individuals

Sample size n₂ = 42

Sample mean x₂ = 5,2

Sample standard deviation s₂ = 2,3

Test Hypothesis

Null Hypothesis H₀ x₂ - x₁ = 0 or x₁ = x₂

Alternative Hypothesis Hₐ x₂ - x ₁ > 0 or x₂ > x₁

Significance level α = 0,01

Sample sizes are n₁ = n₂ > 30

We use z-test

for α = 0,01 z(c) ≈ 2,32

To calculate z(s)

z(s) = ( x₂ - x₁ ) / √ (2,3)²/42 + (2,3)²/42

z(s) = ( 5,2 - 3,2 )/ √0,2519

z(s) = 2 / 0,5

z(s) = 4

Comparing z(s) and z(c)

z(s) > z(c)

z(s) is in the rejection region. We reject H₀ the true average pain level for the control condition exceeds that for the treatment condition.

b) Does the true average pain level for the control condition exceed that for the treatment condition by more than 1.

In this case

z( s) = x₂ - x₁ / 0,5

z(s) = 1 /0,5

z(s) = 2

Comparing z(s) and z(c) now

z(s) < z(c) 2 < 2,32

And z(s) is in the acceptance region ( for the same significance level) and we should accept H₀ equivalent to say that the two groups statistical have the same mean

5 0

3 years ago

Write the equation for the parabola that has x− intercepts (−2,0) and (1.2,0) and y− intercept (0,−4).

schepotkina [342]

Answer: The answer is $15y+4=25(x-1.6)^2.$

Step-by-step explanation: We are to find the equation of the parabola with x-intercepts (-2,0), (1.2,0) and y-intercept (0,-4).

Therefore, axis of symmetry is

$x=\dfrac{1.2+2}{2}\\\\\Rightarrow x=1.6.$

Let the equation of the parabola be $y=a(x-1.6)^2+k.$

Substituting the points (x,y)=(0,-4) and (1.2,0) in the above equation, we find that

$-4=a(0-1.6)^2+k\\\\\Rightarrow k=-2.56a-4$

and

$0=a(1.2-1.6)^2+k\\\\\Rightarrow k=-0.16a.$

Solving the above two equations, we get

$a=-\dfrac{5}{3}~~\textup{and}~~k=-\dfrac{4}{15}.$

So, putting the values of 'a' and 'k' in the equation of the parabola, we get

$y=-\dfrac{5}{3}(x-1.6)^2-\dfrac{4}{15}\\\\\Rightarrow 15y+4=-25(x-1.6)^2.$

Thus, the equation of the parabola is $15y+4=25(x-1.6)^2.$

3 0

4 years ago

HI!! Has anyone got the C-ovid vaccine? If so, can you please tell me the wait time to taking it? Thanks have a nice day!

Tasya [4]

Answer:

2 to 3 weeks for my mom and dad the got their shots

4 0

3 years ago

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Can someone help me out I will give out brainly

Luda [366]

Answer:

x = 2, P = 22 cm, A = 21 cm²

Step-by-step explanation:

The 2 legs of the triangle are congruent , then

6x - 4 = 8 ( add 4 to both sides )

6x = 12 ( divide both sides by 6 )

x = 2

perimeter = 8 + 8 + 6 = 22 cm

Area = $\frac{1}{2}$ bh ( b is the base and h the perpendicular height )

Here b = 6 and h = 7 , then

A = $\frac{1}{2}$ × 6 × 7 = 3 × 7 = 21 cm²

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liberstina [14]

Answer:

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Step-by-step explanation:

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3 years ago

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