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3 years ago

Determine the equation of the graph and select the correct answer (-4,-1)

Mathematics

1 answer:

Snowcat [4.5K]3 years ago

4 0

Answer:

(-4,-1)

Step-by-step explanation:

Assuming the graph is the one shown in the attachment.

The forward sloping line has a slope of 1 and a y-intercept of 3.

The equation of this line is y=x+3

The horizontal line has a slope of 0 and y-intercept of -1.

It's equation is y=-1

The two lines intersect at (-4,-1)

You might be interested in

The diameters of bearings used in an aircraft landing gear assembly have a standard deviation of ???? = 0.0020 cm. A random samp

vovikov84 [41]

Answer:

(a) We conclude after testing that mean diameter is 8.2500 cm.

(b) P-value of test = 2 x 0.0005% = 1 x $10^{-5}$ .

(c) 95% confidence interval on the mean diameter = [8.2525 , 8.2545]

Step-by-step explanation:

We are given with the population standard deviation, $\sigma$ = 0.0020 cm

Sample Mean, Xbar = 8.2535 cm and Sample size, n = 15

(a) Let Null Hypothesis, $H_0$ : Mean Diameter, $\mu$ = 8.2500 cm

Alternate Hypothesis, $H_1$ : Mean Diameter, $\mu$ $\neq$ 8.2500 cm{Given two sided}

So, Test Statistics for testing this hypothesis is given by;

$\frac{Xbar-\mu}{\frac{\sigma}{\sqrt{n} } }$ follows Standard Normal distribution

After putting each value, Test Statistics = $\frac{8.2535-8.2500}{\frac{0.0020}{\sqrt{15} } }$ = 6.778

Now we are given with the level of significance of 5% and at this level of significance our z score has a value of 1.96 as it is two sided alternative.

<em>Since our test statistics does not lie in the rejection region{value smaller than 1.96} as 6.778>1.96 so we have sufficient evidence to accept null hypothesis and conclude that the mean diameter is 8.2500 cm.</em>

(b) P-value is the exact % where test statistics lie.

For calculating P-value , our test statistics has a value of 6.778

So, P(Z > 6.778) = Since in the Z table the highest value for test statistics is given as 4.4172 and our test statistics has value higher than this so we conclude that P - value is smaller than 2 x 0.0005% { Here 2 is multiplied with the % value of 4.4172 because of two sided alternative hypothesis}

Hence P-value of test = 2 x 0.0005% = 1 x $10^{-5}$ .

Probability(-1.96 < N(0,1) < 1.96) = 0.95 { This indicates that at 5% level of significance our Z score will lie between area of -1.96 to 1.96.

P(-1.96 < $\frac{Xbar-\mu}{\frac{\sigma}{\sqrt{n} } }$ < 1.96) = 0.95

P( $-1.96\frac{\sigma}{\sqrt{n} }$ < $Xbar - \mu$ < $1.96\frac{\sigma}{\sqrt{n} }$ ) = 0.95

P( $-Xbar-1.96\frac{\sigma}{\sqrt{n} }$ < $-\mu$ < $1.96\frac{\sigma}{\sqrt{n} }-Xbar$ ) = 0.95

P( $Xbar-1.96\frac{\sigma}{\sqrt{n} }$ < $\mu$ < $Xbar+1.96\frac{\sigma}{\sqrt{n} }$ ) = 0.95

So, 95% confidence interval for $\mu$ = [ $Xbar-1.96\frac{\sigma}{\sqrt{n} }$ , $Xbar+1.96\frac{\sigma}{\sqrt{n} }$ ]

= [ $8.2535-1.96\frac{0.0020}{\sqrt{15} }$ , $8.2535+1.96\frac{0.0020}{\sqrt{15} }$ ]

= [8.2525 , 8.2545]

Here $\mu$ = mean diameter.

Therefore, 95% two-sided confidence interval on the mean diameter

= [8.2525 , 8.2545] .

6 0

2 years ago

Read 2 more answers

How do u convert 3.54 ug to grams

denis23 [38]

"ug" stands for microgram. You can convert microgram into grams by multiplying a certain factor. For this case, 1 microgram is known to be 1x10^-6 g. This is the conversion factor that will be multiplied to 3.54.

3.54 ug ( 1x10^-6 g / 1 ug ) = 3.54 <span>x10^-6 g</span>

4 0

3 years ago

A set of Megasus Horserunners is 159 euros. At an exchange rate of 1 euro = 1.16 dollars, what’s that in U.S dollars?

Pani-rosa [81]

184.44 is the answer.

-Brainliac

4 0

3 years ago

Calculate the amount and compound interest on Rs 5000 compounded annually or 2 years 6 months at the rate of 10% per annum.

cluponka [151]

Answer:

Amount

Rs 6345.30

Compound interest

Rs 1,345.30

Step-by-step explanation:

Here in this question, we are interested in calculating the amount and the compound interest on the value given.

To calculate the amount, we use the formula below;

A = P(1 + r/n)^nt

Where; A is the amount which we want to calculate

P is the principal which is Rs 5,000

r is the interest rate per annum = 10% = 10/100 = 0.1

n is the number of times per year in which it is compounded ( since it is annually, then it is 1)

t is the number of years which is 2.5 years( kindly know that 6 months is same 1/2 year , so 6 months is same as 0.5, and thus 2 years 6 months becomes 2.5 years)

now let’s substitute all these values;

A = 5000(1 + 0.1/1)^(1*2.5)

A = 5000(1 + 0.1)^2.5

A = 5000(1.1)^2.5

A = 6,345.2935314294

This is approximately Rs 6,345.30

The second part of the question asks to calculate compound interest

Mathematically ;compound interest = Amount - principal

= 6345.3 - 5000 = Rs 1,345.30

7 0

3 years ago

AARP reported on a study conducted to learn how long it takes individuals to prepare their federal income tax return (AARP Bulle

Crank

Answer:

Confidence interval: (30.1,36.9)

Step-by-step explanation:

We are given the following data set:

35.3,30.5,37.4,26.5,13.0,49.9,28.8,44.0,61.6,0.5,40.5,34.9,47.9,36.6,24.1,39.8,47.8,18.5,36.6,39.2,14.5,37.3,40.5,49.3,45.5,28.3,19.5,5.6,52.6,41.4,45.3,39.0,33.7,29.4,14.5,40.1,33.7,36.9,5.6,33.7

Formula:

$\text{Standard Deviation} = \sqrt{\displaystyle\frac{\sum (x_i -\bar{x})^2}{n-1}}$