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1 year ago

Hitung jarak di antara titik P(7, 1) dengan titik Q(7, 8)

Mathematics

1 answer:

MaRussiya [10]1 year ago

5 0

Answer:

7 units

Step-by-step explanation:

Distance between 2 points

= $\sqrt{(y1 - y2)^{2} + (x1 - x2) {}^{2} }$

Thus, distance PQ

$=\sqrt{(8 - 1)^{2} + (7 - 7)^{2} } \\ = \sqrt{7^{2} } \\ = 7$

Or you could simply take 8-1= 7 since both points have the same x-coordinate. Thus, PQ is a vertical line and the distance between them is due to the difference in their y-coordinate.

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Computer keyboard failures are due to faulty electrical connects (12%) or mechanical defects (88%). Mechanical defects are relat

Margaret [11]

Answer:

a) 23.76%

b) 7.8%

Step-by-step explanation:

a) probability that a failure is due to loose keys.

loose key failure (27%) comes under mechanical failure(88%)

hence, probability that a failure is due to loose keys= 0.27×0.88= 0.2376= 23.76%

b) probability that a failure is due to improperly connected wire which comes under electrical failure = 0.12×0.13

probability that a failure is due to poorly welded wires which comes under electrical failure= 0.52×0.12

now, the probability that a failure is due to improperly connected or poorly welded wires. = 0.12(0.52+0.13)= 0.078= 7.8%

6 0

1 year ago

Read 2 more answers

Bernie helped design a magician costume for a school play. He used 5.75 feet of ribbon for the magician's wand. He used 11.75 fe

Nonamiya [84]

Answer:

The ribbon cost per foot $0.6 per foot

Step-by-step explanation:

Total number of ribbon used = (5.75 + 11.75) = 17.50 feet

17.50 feet of ribbon cost = $10.50

1 foot of ribbon cost = x

Cross Multiply

17.50 × x = 1 foot × $10.50

x = 1 foot × 10.50/17.50

x = $0.6

The ribbon cost per foot $0.6 per foot

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1 year ago

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Find the missing value to the nearest hundredth cos _____ 7/18

Bezzdna [24]

I believe D will be the correct answer.

6 0

1 year ago

A member of a student team playing an interactive marketing game received the fol- lowing computer output when studying the rela

nirvana33 [79]

Answer:

$p_v = 2*P(t_{n-2} > |t_{calc}|)= 0.91$

So on this case for the significance level assumed $\alpha=0.05$ we see that $p_v >\alpha$ so then we can conclude that the result is NOT significant. And we don't have enough evidence to reject the null hypothesis.

So on this case is not appropiate say that :"the more we spend on advertising this product, the fewer units we sell" since the slope for this case is not significant.

Step-by-step explanation:

Let's suppose that we have the following linear model:

$y= \beta_o +\beta_1 X$

Where Y is the dependent variable and X the independent variable. $\beta_0$ represent the intercept and $\beta_1$ the slope.

In order to estimate the coefficients $\beta_0 ,\beta_1$ we can use least squares procedure.

If we are interested in analyze if we have a significant relationship between the dependent and the independent variable we can use the following system of hypothesis:

Null Hypothesis: $\beta_1 = 0$

Alternative hypothesis: $\beta_1 \neq 0$

Or in other words we want to check is our slope is significant (X have an effect in the Y variable )

In order to conduct this test we are assuming the following conditions:

a) We have linear relationship between Y and X

b) We have the same probability distribution for the variable Y with the same deviation for each value of the independent variable

c) We assume that the Y values are independent and the distribution of Y is normal

The significance level assumed on this case is $\alpha=0.05$

The standard error for the slope is given by this formula:

$SE_{\beta_1}=\frac{\sqrt{\frac{\sum (y_i -\hat y_i)^2}{n-2}}}{\sqrt{\sum (X_i -\bar X)^2}}$

Th degrees of freedom for a linear regression is given by $df=n-2$ since we need to estimate the value for the slope and the intercept.

In order to test the hypothesis the statistic is given by:

$t=\frac{\hat \beta_1}{SE_{\beta_1}}$

The p value on this case would be given by:

$p_v = 2*P(t_{n-2} > |t_{calc}|)= 0.91$

So on this case is not appropiate say that :"the more we spend on advertising this product, the fewer units we sell" since the slope for this case is not significant.

3 0

1 year ago

The following table shows last year's revenue for each Herman's Hoagies location.

SOVA2 [1]

Answer:

The revenue for Granton location is 175 thousand dollars

Step-by-step explanation:

Given

Cedarton 121

Rimber 189

Linton 147

Mean = 158

Required

Revenue for Granton location.

To calculate the revenue for Granton location, we make use of mean formula.

Mean is calculated by Summation of Observation divided by number of observations.

Since Granton location is unknown; Let it be represented by letter G.

So, the summation of observation becomes 121 + 189 + 147 + G

Summation = 457 + G

The number of observations = 4

Recall that Mean = Summation ÷ Number

By substituting 158 for mean, 457 + G for summation and 4 for number, we have

158 = (457 + G) ÷ 4

158 = ¼(457 + G)

Multiply both sides by 4

4 * 158 = = 4 * ¼(457 + G)

632 = 457 + G

Make G the subject of formula

G = 632 - 457

G = 175

Hence, the revenue for Granton location is 175 thousand dollars

8 0

1 year ago

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Hitung jarak di antara titik P(7, 1) dengan titik Q(7, 8) ​

Hitung jarak di antara titik P(7, 1) dengan titik Q(7, 8)