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Ira Lisetskai [31]
3 years ago
10

Please help me thanks please

Mathematics
1 answer:
Semenov [28]3 years ago
3 0

Answer:

80 cubic units

Step-by-step explanation:

Volume of rectangular pyramid = ⅓*L*W*H

L = 8 units

W = 5 units

H = OP = 6 units

Plug in the values into the equation

Volume = ⅓*8*5*6

Volume = 80 cubic units

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I think it is the last one because the two top line at the top must be the same length
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An article in Fire Technology describes the investigation of two different foam expanding agents that can be used in the nozzles
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Answer:

a) There is no evidence to support the claim that there is no difference in mean foam expansion of these two agents.

b) P=0

c)  90% CI

-3.2406\leq \mu_1-\mu_2 \leq -2.2614

This CI tells us that there is a 90% confidence that the real value of the difference between the means is between this two values. We see that both are negative values, so the value 0 is left out of the interval.

That means we can be almost sure both means don't have the same value, confirming the results of the previous test.

Step-by-step explanation:

The null and alternative hypothesis are:

H_0: \mu_1-\mu_2=0\\\\H_a: \mu_1-\mu_2\neq 0

The significance level is 0.10 and it will be a two-tailed test.

The difference of the sample means is:

M_d=M_1-M_2=4.340-7.091=-2.751

As the sample size is equal for both samples, the estimated standard error of the difference between means is calculated as:

s_M_d=\sqrt{\frac{s_1^2+s_2^2}{N}}= \sqrt{\frac{0.508^2+0.430^2}{5}}=\sqrt{\frac{0.442964}{5} }= \sqrt{0.0886}=0.2976

Then, the statistic z is:

z=\frac{M_d-(\mu_1-\mu_2)}{s_M_d}=\frac{-2.751-0}{0.2976}=-9.24\\\\P(|z|>9.24)=0

The P-value (P=0) is much lower than the significance level, so the null hypothesis is rejected. The means are different.

For a 90% confidence interval for the difference of the means, we use a z=1.645.

Then the confidence interval is defined as:

M_d-z*s_M_d\leq \mu_1-\mu_2 \leq M_d-z*s_M_d\\\\-2.751-1.645*0.2976\leq \mu_1-\mu_2 \leq -2.751+1.645*0.2976\\\\-3.2406\leq \mu_1-\mu_2 \leq -2.2614

This CI tells us that there is a 90% confidence that the real value of the difference between the means is between this two values. We see that both are negative values, so the value 0 is left out of the interval.

That means we can be almost sure both means don't have the same value.

5 0
3 years ago
Identify the vertex of the function, fx) = 3(x - 1)2 + 5.
madam [21]

Answer:

fx) = 3x+4

Step-by-step explanation:

1. step:

solve the bracket

fx) = 3(x - 1) 2 + 5

fx) = 3x-1+2+5

2. step:

use the BEDMAS form.

fx) = 3x-3+7

fx) = 3x+4

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