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kifflom [539]
3 years ago
15

What is the answer to this equation -156-(-45)=

Mathematics
2 answers:
Maru [420]3 years ago
6 0

Answer:

-111

Step-by-step explanation:

-156 + 45 = -111

double negative becomes positive

Tanzania [10]3 years ago
5 0

Answer:

-201

Step-by-step explanation:

-156-(-45)= 156+45

156+45=201 add the - sign

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What is the simplified form of 3 over 2x plus 5 + 21 over 8 x squared plus 26x plus 15 ?
Ivan
The simplified form of 3 over 2x plus 5 + 21 over 8 x squared plus 26x plus 15 is <span>6 over the quantity 4 x plus 3.

</span>

The solution would be like this for this specific problem:

( 3 /( 2x+5 )) + ( 21 / (8x^2 + 26x + 15))
= ( 3 /( 2x+5 )) + ( 21 / (8x^2 + 20x + 6x + 15))
= ( 3 /( 2x+5 )) + ( 21 / (4x(2x + 5) + 3(2x + 5))
= ( 3 /( 2x+5 )) + ( 21 /(2x + 5)(4x + 3)
= [ 3 (4x + 3) + 21 ] /(2x + 5)(4x + 3)
= [ 12x + 9 + 21 ] /(2x + 5)(4x + 3)
= [ 12x + 30 ] /(2x + 5)(4x + 3)
= 6(2x + 5) /(2x + 5)(4x + 3)
= 6 / (4x + 3)

<span>I am hoping that this answer has satisfied your query and it will be able to help you in your endeavor, and if you would like, feel free to ask another question.</span>

6 0
3 years ago
Brand name producers of aspirin claim that one advantage of their aspirin over generic aspirin is that brand name aspirin is muc
11Alexandr11 [23.1K]

Answer:

Step-by-step explanation:

The claim here is that the brand name aspirin is more consistent in the amount of active ingredient used than the generic aspirin.

This is a test of 2 independent groups. The population standard deviations are not known. Let μ1 be the mean amount of active ingredients in brand name aspirin and μ2 be the mean amount of active ingredients in generic name aspirin

The random variable is μ1 - μ2 = difference in the mean amount of active ingredients between the brand name and generic aspirin

We would set up the hypothesis.

The null hypothesis is

H0 : μ1 ≥ μ2 H0 : μ1 - μ2 ≥ 0

The alternative hypothesis is

H1 : μ1 < μ2 H1 : μ1 - μ2 < 0

This is a left tailed test

Since sample standard deviation is known, we would determine the test statistic by using the t test. The formula is

(x1 - x2)/√(s1²/n1 + s2²/n2)

From the information given,

x1 = 325.01

x2 = 323.47

s1 = 10.12

s2 = 11.43

n1 = 200

n2 = 180

t = (325.01 - 323.47)/√(10.12²/200 + 11.43²/180)

t = 1.24

1.237877

The formula for determining the degree of freedom is

df = [s1²/n1 + s2²/n2]²/(1/n1 - 1)(s1²/n1)² + (1/n2 - 1)(s2²/n2)²

df = [10.12²/200 + 11.43²/180]²/[(1/200 - 1)(10.12²/200)² + (1/180 - 1)(11.43²/180)²] = 1.53233946713/0.00537245359

df = 285

We would determine the probability value from the t test calculator. It becomes

p value = 0.108

Since alpha, 0.025 < than the p value, 0.108, then we would fail to reject the null hypothesis. Therefore, at 2.5% level of significance, these data support the brand name producers claim

5 0
3 years ago
3x+4y=12 solve for y show work
-Dominant- [34]

Answer:

y=3-3/4x

Step-by-step explanation:

3x+4y=12

-3x         -3x

4y=12-3x

/4       /4

y=3-3/4x

3 0
3 years ago
Simplify c x d x 4 =
White raven [17]

Answer:

Ya the person above me is right 4cd

3 0
3 years ago
Which of the following is equivalent to<br> 4x+28
weeeeeb [17]

I would answer the question but there are no answer choices, so if you could add that maybe I could help! :)

8 0
2 years ago
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