What potential rational root is -2/5

Ahmed and Tonya are training for a race. Ahmed runs a mile 8 minutes 30 seconds. Tonya runs a mile 7 minutes 45 seconds. How muc

Alexeev081 [22]

45 seconds the difference from 7 45 to 8 is 15 plus another 30 to get 8:30 which is a 45 second difference

8 0

3 years ago

Evaluate AB whenA 13 -2 6 and B4O A)233 2 6O B) 12 8 246 4-123 2 -6O C) 128 246 4 12O D) No solution

kiruha [24]

The answer is A) -23

A is a 1x3 Matrix while B is 3x1 Matrix. Since A has the same number of rows as that of the number of columns of B, they can be multiplied. A has 1 row and B has 1 column. So, their products is a 1x1 Matrix.
Simply, the operation is:
(3)(-1) + (-2)(4) +(6)(-2) = -23

7 0

3 years ago

Algebra 1: Equation or Inequality

baherus [9]

10.6 Months, so yeaa 10

5 0

3 years ago

A salesman for a new manufacturer of cellular phones claims not only that they cost the retailer less but also that the percenta

professor190 [17]

Answer:

$z=\frac{0.094-0.04}{\sqrt{0.0642(1-0.0642)(\frac{1}{180}+\frac{1}{225})}}=2.203$

$p_v =P(Z>2.203)= 0.0138$

Comparing the p value with the significance level given $\alpha=0.01$ we see that $p_v>\alpha$ so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, so then the claim from the retailer makes sense at 1% of significance.

Step-by-step explanation:

Use a significance level of α=0.01 for the test.

Data given and notation

$X_{1}=17$ represent the number of defectives from the retailer

$X_{2}=9$ represent the number of defectives from the competitor

$n_{1}=180$ sample 1 selected

$n_{2}=225$ sample 2 selected

$p_{1}=\frac{17}{180}=0.094$ represent the proportion estimated for defectives from the retailer

$p_{2}=\frac{9}{225}=0.04$ represent the proportion estimated for defectives from the competitor

$\hat p$ represent the pooled estimate of p

z would represent the statistic (variable of interest)

$p_v$ represent the value for the test (variable of interest)

$\alpha=0.01$ significance level given

Concepts and formulas to use

We need to conduct a hypothesis in order to check if the percentage of defective cellular phones found among his products, ( p1), will be no higher than the percentage of defectives found in a competitor's line, ( p2), the system of hypothesis would be:

Null hypothesis: $p_{1} \leq p_{2}$

Alternative hypothesis: $p_{1} > p_{2}$

We need to apply a z test to compare proportions, and the statistic is given by:

$z=\frac{p_{1}-p_{2}}{\sqrt{\hat p (1-\hat p)(\frac{1}{n_{1}}+\frac{1}{n_{2}})}}$ (1)

Where $\hat p=\frac{X_{1}+X_{2}}{n_{1}+n_{2}}=\frac{17+9}{180+225}=0.0642$

z-test: Is used to compare group means. Is one of the most common tests and is used to determine whether the means of two groups are equal to each other.

Calculate the statistic

Replacing in formula (1) the values obtained we got this:

$z=\frac{0.094-0.04}{\sqrt{0.0642(1-0.0642)(\frac{1}{180}+\frac{1}{225})}}=2.203$

Statistical decision

Since is a right sided test the p value would be:

$p_v =P(Z>2.203)= 0.0138$

Comparing the p value with the significance level given $\alpha=0.01$ we see that $p_v>\alpha$ so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, so then the claim from the retailer makes sense at 1% of significance.

5 0

3 years ago

1. Design your own real-world scenario in which the solution requires the Pythagorean Theorem. Use complete sentences to describ

tigry1 [53]

Answer:

this is not maths

is the answer

if you like my answer please like comment and mark me as brilliant

4 0

2 years ago