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3 years ago

Determine whether the following conjecture is true or false. Give a counterexample if the answer is false.

1 answer:

4 0

This conjecture is false, A and C don't have to be complementary angles.

Let Angle A be 100 and Angle B be 80 degrees. They are supplementary (sum of 180).
Let Angle C be 100 and Angle B is still 80 degrees. They are supplementary.

However, Angle A and Angle C are not complementary (sum of 90).

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The original purchase price of a car is 16,000, Each year, its value depreciates by 10%. Three years after its purchase, what is

Tju [1.3M]

The answer is 11,664

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3 years ago

National data indicates that 35% of households own a desktop computer. In a random sample of 570 households, 40% owned a deskt

Elan Coil [88]

Answer:

Yes, this provide enough evidence to show a difference in the proportion of households that own a desktop.

Step-by-step explanation:

We are given that National data indicates that 35% of households own a desktop computer.

In a random sample of 570 households, 40% owned a desktop computer.

Let p = population proportion of households who own a desktop computer

SO, Null Hypothesis, $H_0$ : p = 25% {means that 35% of households own a desktop computer}

Alternate Hypothesis, $H_A$ : p $\neq$ 25% {means that % of households who own a desktop computer is different from 35%}

The test statistics that will be used here is One-sample z proportion statistics;

T.S. = $\frac{\hat p-p}{{\sqrt{\frac{\hat p(1-\hat p)}{n} } } } }$ ~ N(0,1)

where, $\hat p$ = sample proportion of 570 households who owned a desktop computer = 40%

n = sample of households = 570

So, test statistics = $\frac{0.40-0.35}{{\sqrt{\frac{0.40(1-0.40)}{570} } } } }$

= 2.437

Since, in the question we are not given with the level of significance at which to test out hypothesis so we assume it to be 5%. Now at 5% significance level, the z table gives critical values of -1.96 and 1.96 for two-tailed test. Since our test statistics doesn't lies within the range of critical values of z so we have sufficient evidence to reject our null hypothesis as it will fall in the rejection region due to which we reject our null hypothesis.

Therefore, we conclude that % of households who own a desktop computer is different from 35%.

3 0

3 years ago

|-16| + |-12| =

bagirrra123 [75]

The |...| means absolute value meaning everything inside is a positive number. The first problem is 16+12= 28. |-5|= 5

4 0

3 years ago

Which expression is equivalent to (1/16)^-4 Pls help 30 points timed

worty [1.4K]

The first one! It is using the distributive or associative property!

7 0

2 years ago

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IM BEING TIMED!!! Consider the table showing the given, predicted, and residual values for a data set. Which point would be on t

iVinArrow [24]

Answer:

Residual = Observed Value - Predicted Value

A residual plot is a graph that shows the residual values in the vertical axis and the independent variable or values of x in the horizontal axis. So the coordinates would be (x, corresponding residual of x)

The points in a residual plot of the data based on the table will be:

(1,-0.4)

(2,0,7)

(3,-0.2)

(4,-0.6)

Step-by-step explanation:

8 0

3 years ago

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