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4 years ago

15

If 3.485 ÷ 5.1 is written in long division form as so that the divisor is written as a whole number, where should the decimal po

int be placed in the dividend

1 answer:

sineoko [7]4 years ago

8 0

It is 3.485 in the inside and 5.1 at the outside but the answer is <span>0.68333333333</span>

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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

<br><br>Find the volume of the triangular prism.<br><br>A)10 cm3B)12 cm3C)18 cm3D)36 cm3<br><br>

gtnhenbr [62]

Answer:

= 18 cm^3

Step-by-step explanation:

V = Bh where B is the area of the base, which is the triangular face

B = 1/2 (4*3) = 6

V = 6* 3

V = 18 cm^3

3 0

3 years ago

NEED HELP ASAP!!!!!!!

Elan Coil [88]

I think the answer is C

3 0

3 years ago

What is the slope of a line perpendicular to the line whose equation is 5x - y = -7.

BARSIC [14]

keeping in mind that perpendicular lines have negative reciprocal slopes, let's check for the slope of the equation above

$5x-y=-7\implies 5x-y+7=0 \\\\\\ \stackrel{\stackrel{m}{\downarrow }}{5} x+7=y\qquad \impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}$

so a line perpendicular to that one above will have a slope of

$\stackrel{~\hspace{5em}\textit{perpendicular lines have \underline{negative reciprocal} slopes}~\hspace{5em}} {\stackrel{slope}{5\implies \cfrac{5}{1}} ~\hfill \stackrel{reciprocal}{\cfrac{1}{5}} ~\hfill \stackrel{negative~reciprocal}{-\cfrac{1}{5}}}$

3 0

2 years ago

A rectangle has a height of 2x^42x 4 2, x, start superscript, 4, end superscript and a width of x^2+8x+15x 2 +8x+15x, squared, p

lisabon 2012 [21]

Question:

A rectangle has a height of 2x^4 and a width of x^2+8x+15. Calculate its area.

Answer:

$Area = 2x^6 + 16x^5 + 30x^4$

Step-by-step explanation:

Given

$Height = 2x^4$

$Width = x^2 + 8x + 15$

Required

Determine the area of the rectangle

This is calculated as:

$Area = Width * Height$

$Area = (x^2 + 8x + 15) * 2x^4$

$Area = 2x^6 + 16x^5 + 30x^4$

5 0

3 years ago