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Taya2010 [7]
2 years ago
5

Solve 4x - 8 < 44. Enter your answer as an inequality.

Mathematics
1 answer:
Ilya [14]2 years ago
7 0

Answer:

x < 13

Step-by-step explanation:

We have an inequality and are asked to solve for x.

Inequality work the same as expressions when it comes to solving for x, the only difference is that when you divide by a negative, the inequality sign changes. Which is not a problem.

4x - 8 < 44

Add 8 to both sides :

4x < 52

Divide 4 from both sides :

x < 13

You might be interested in
The mean annual tuition and fees for a sample of 15 private colleges was with a standard deviation of . A dotplot shows that it
Fudgin [204]

Answer:

Step-by-step explanation:

The question is incomplete. The complete question is:

The mean annual tuition and fees for a sample of 15 private colleges was $35,500 with a standard deviation of $6500. A dotplot shows that it is reasonable to assume that the population is approximately normal. You wish to test whether the mean tuition and fees for private colleges is different from $32,500. State the null and alternate hypotheses. A) H0: 4 = 32,500, H:4=35,500 C) H: 4 = 35,500, H7:35,500 B) H: 4 = 32,500, H : 4 # 32,500 D) H0:41 # 32,500, H : 4 = 32,500

Solution

We would set up the hypothesis test. This is a test of a single population mean since we are dealing with mean

For the null hypothesis,

H0: µ = 32500

For the alternative hypothesis,

Ha: µ ≠ 32500

This is a two tailed test.

Since the number of samples is small and the population standard deviation is not given, the distribution is a student's t.

Since n = 15,

Degrees of freedom, df = n - 1 = 15 - 1 = 14

t = (x - µ)/(s/√n)

Where

x = sample mean = 35500

µ = population mean = 32500

s = samples standard deviation = 6500

t = (35500 - 32500)/(6500/√15) = 1.79

We would determine the p value using the t test calculator. It becomes

p = 0.095

Assuming alpha = 0.05

Since alpha, 0.05 < than the p value, 0.095, then we would fail to reject the null hypothesis.

7 0
2 years ago
I need help with this! (slope)
kvv77 [185]

Answer:

175/25

Step-by-step explanation:

i think this answers you question

5 0
2 years ago
PLEASE HELP ASAP
maria [59]

Answer:

First option:  3x^2-5x=-8

Second option: 2x^2=6x-5

Fourth option: -x^2-10x=34

Step-by-step explanation:

Rewrite each equation in the form ax^2+bx+c=0 and then use the Discriminant formula for each equation. This is:

D=b^2-4ac

1) For 3x^2-5x=-8:

 3x^2-5x+8=0

Then:

D=(-5)^2-4(3)(8)=-71

Since D this equation has no real solutions, but has two complex solutions.

2) For 2x^2=6x-5:

 2x^2-6x+5=0

Then:

D=(-6)^2-4(2)(5)=-4

Since D this equation has no real solutions, but has two complex solutions.

3) For 12x=9x^2+4:

 9x^2-12x+4=0

Then:

D=(-12)^2-4(9)(4)=0

Since D=0 this equation has one real solution.

4) For -x^2-10x=34:

 -x^2-10x-34=0

Then:

D=(-10)^2-4(-1)(-34)=-36

Since D, this equation has no real solutions, but has two complex solutions.

3 0
3 years ago
Solve the following equation for y.
labwork [276]

Answer:

17

Step-by-step explanation:

2y+2=36

Let's solve this equation for 2y first.  This means get 2y by itself.

So to get 2y by itself I need to undo that addition of 2 next to it.

The inverse operation of addition is subtraction.

I'm going to subtract 2 on both sides:

2y      =36-2

2y      =34

Now we want to get y by itself so we divide both sides by 2 since division and multiplication are inverse operations:

 y=        34/2

 y=        17

3 0
3 years ago
Read 2 more answers
URGENT NOW: Use the graph below to fill in the blank with the correct number: f(−2) = _______ X, Y graph. Plotted points negativ
navik [9.2K]
The answer would be 2. As you can see on the point, you already have (-2,2) as a point. F(x) equals y in a sense. So when plugging in x into a function, you should get its respect y value. In the function graph, -2 yields 2. Therefore, your answer is 2.
6 0
3 years ago
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