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Zepler [3.9K]
3 years ago
6

Keisha runs each lap in 6 minutes. She will run more than 11 laps today. What are the possible number of minutes she will run to

day? Use t for the number of mins she will run today. Write answer as an inequality solved for t.
Mathematics
1 answer:
Nuetrik [128]3 years ago
6 0

Answer:

48 to 56

Step-by-step explanation:

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The breaking strengths of cables produced by a certain manufacturer have a mean, , of pounds, and a standard deviation of pounds
olchik [2.2K]

The question is incomplete. The complete question is :

The breaking strengths of cables produced by a certain manufacturer have a mean of 1900 pounds, and a standard deviation of 65 pounds. It is claimed that an improvement in the manufacturing process has increased the mean breaking strength. To evaluate this claim, 150 newly manufactured cables are randomly chosen and tested, and their mean breaking strength is found to be 1902 pounds. Assume that the population is normally distributed. Can we support, at the 0.01 level of significance, the claim that the mean breaking strength has increased?

Solution :

Given data :

Mean, μ = 1900

Standard deviation, σ = 65

Sample size, n = 150

Sample mean, $\overline x$ = 1902

Level of significance = 0.01

The hypothesis are :

$H_0 : \mu = 1900$

$H_1 : \mu > 1900$

Test statics :

We use the z test as the sample size is large and we know the population standard deviation.

$z=\frac{\overline x - \mu}{\sigma / \sqrt{n}}$

$z=\frac{1902-1900}{65 / \sqrt{150}}$

$z=\frac{2}{5.30723}$

$z=0.38$

Finding the p-value:

P-value = P(Z > z)

             = P(Z > 0.38)

             = 1 - P(Z < 0.38)

From the z table. we get

P(Z < 0.38) = 0.6480

Therefore,

P-value = 1 - P(Z < 0.38)

            = 1 - 0.6480

             = 0.3520

Decision :

If the p value is less than 0.01, then we reject the H_0, otherwise we fail to reject  H_0.

Since the value of p = 0.3520 > 0.01, the level of significance, then we fail to reject  H_0.

Conclusion :

At a significance level of 0.01, we have no sufficient evidence to support that the mean breaking strength has increased.

4 0
2 years ago
PLS HELP 10 POINTS THANKS FAMMMM~
scoundrel [369]
Hello there,


The first graph show's (0,-3)

The second graph show's (0,-2)

Hope this helps

~HotTwizzlers

4 0
3 years ago
Rectangular classroom seats 72 students. If the seats were rearragned with 3 more seats rows in each row, the classroom would ha
Gre4nikov [31]
<span>Let the original number of seats in a row be x;
</span>Let the number rows be y;

( x + 3) * (y - 2 )= 72 and x * y = 72 => 72 + 3 * y - 2 * x = 72 => 3 * y = 2 * x;
=> x is divisible by 3;

1. x = 3 => y = 72 / 3 => y = 24;
2. x = 6 => y = 72 / 6 => y = 12;
3. x = 9 => y = 72 / 9 => y = 8;
4. x = 12 => y = 72 / 12 =. y = 6;
5. x = 24 =. y = 72 / 24 => y = 3;
6. x = 36 => y = 72 / 36 => y = 2;
7. x = 72 => y = 72 / 72 => y = 1;

My analysis tell me that the right answer is 9 seats in a row and 8 rows;
The original number in each row is 9.
6 0
2 years ago
The role that an organism plays within the area it lives is known as its
ser-zykov [4K]

Answer:

Niche

Step-by-step explanation:

Ecology dfn of niche

3 0
2 years ago
What trigonometric ratio is defined as the length of the opposite leg divided by the length of the hypotenuse?
aleksley [76]

SOH CAH TOA

Sine is opposite over hypotenuse so you're answer is C.

:)))

8 0
3 years ago
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