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Anarel [89]
3 years ago
12

SOLVE 1 STEP INEQUALITIES (HELP PLS

Mathematics
2 answers:
Vera_Pavlovna [14]3 years ago
7 0

Answer:

1. n<-10

2. p ≥ -6

3. k > 3

4. d ≥ 18

5. c ≤ 5

6. b ≥ -4

Step-by-step explanation:

1. subtract 7 from both sides to leave n by itself

n + 7 -7< -3 -7

n < -10

2. divide by 5 on both sides to get p by itself

5p/5 ≥ -30/5

p ≥ -6

3. subtract 11 from both sides to get k by itself

14 -11 < k + 11 - 11

3 < k

which is also equal to

k > 3

4. multiply by -3 on both sides to get d by itself

(d/-3)(-3) ≤ -6 *-3

because -3 is negative, the signs flip

d ≥ 18

5. add 2.5 both sides to leave c on its own

c -2.5 +2.5 ≤ 2.5 + 2.5

c ≤ 5

6. divide by -3 on both sides to get b by itself

12/-3 ≥ -3b/-3

because -3 is negative you flip the sign

-4 ≤ b

which is also equal to

b ≥ -4

Amiraneli [1.4K]3 years ago
6 0
1: n< -10
2: p>_ -6
4: d >_ 18
5: c<_ 5
6: b>_ -4
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Answer:

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Step-by-step explanation:

Age of the 2 men = sum of the ages of the 6 men - sum of the ages of the 4 men

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age of the younger man = x

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Someone claims that the average amount of time that a freshman at TAMU studies is 7 hours. We think it’s higher than that and de
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Answer:

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Step-by-step explanation:

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Then, the null and alternative hypothesis are:

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The significance level is 0.05.

The sample has a size n=49.

The sample mean is M=8.5.

As the standard deviation of the population is not known, we estimate it with the sample standard deviation, that has a value of s=√s^2=√4=2.

The estimated standard error of the mean is computed using the formula:

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The degrees of freedom for this sample size are:

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This test is a right-tailed test, with 48 degrees of freedom and t=5.25, so the P-value for this test is calculated as (using a t-table):

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As the P-value (0.000002) is smaller than the significance level (0.05), the effect is significant.

The null hypothesis is rejected.

There is enough evidence to support the claim that the average amount of time that a freshman at TAMU studies is significantly higher than 7 hours.

6 0
3 years ago
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