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3 years ago

Find the distance between each pair of points 8) (2, 6), (5, 10) 9) (-3,-10), (-3,5)

Mathematics

1 answer:

Lapatulllka [165]3 years ago

4 0

Answer:

8) answer=5 9)answer=15

Step-by-step explanation:

all you have to do is replace in the following formula

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

Where

X1: is the first number of the first point

Y1: is the second number of the first point

X2: is the first number of the second point

Y2: is the second number of the second point

you replace in the formula and solve

I attach solution

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A livestock company reports that the mean weight of a group of young steers is 1143 pounds with a standard deviation of 88 pound

malfutka [58]

Answer:

a) P(x<1200)=74.14%

b) P(1100<X<1250)=57.54%

Step-by-step explanation:

Normal Distribution

The normal distribution, also known as the bell curve, is a distribution that occurs naturally in many situations of life. We use the model $N(\mu,\sigma)$ to understand the behavior of some real-life variables. Where $\mu$ is the mean value and $\sigma$ is the standard deviation.

In our case, we have

$\mu=1143,\ \sigma=88$

And are required to find the percentage of steers whose weigh lie within a given range. We must use some sort of table or digital means to compute the values because the normal distribution cannot be calculated directly by a formula. We use the NORMDIST (or NORM.DIST) formula for Excel which gives us the left tail of the area behind the bell curve, i.e. the cumulative percentage for a give value of X. The formula has the form

NORM.DIST(x,mean,standard_dev,cumulative)

a) X<1200

The formula is used with the following parameters

NORM.DIST(1200,1143,88,true)

and we get

$P(X$

b) We need to compute P(1100<X<1250). To do this, we calculate both left tails and the subtract them

NORM.DIST(1100,1143,88,true)=0.3125

NORM.DIST(1250,1143,88,true)=0.8880

$P(1100$

$\boxed{P(1100$

6 0

3 years ago

What is the slope of the graph y=-1

pochemuha

This is a horizontal line passing through the point (0,-1).

Slope = zero.

4 0

3 years ago

What is the slope intercept equation for a parallel line through (1,3), parallel to y=2x+5

Daniel [21]

Answer:

the desired line is y = 2x+1

Step-by-step explanation:

A line parallel to y=2x+5 has a very similar equation. All we have to do here is to write y=2x+5 as y=2x+b and find b for x = 1 and y = 3.

Replacing y with 3 and x with 1, we get 3 = 2(1) + b. Then b = 1, and the desired line is y = 2x+1

7 0

3 years ago

Which equation has a solution of r = 1/3

kkurt [141]

Answer:

Step-by-step explanation:

Any equation, for example 2r =2/3

7 0

3 years ago

The following data show the brand, price ($), and the overall score for 6 stereo headphones that were tested by Consumer Reports

Olenka [21]

Complete Question

The complete question is shown on the first uploaded image

Answer:

SST = 1800

SSR = 1512.376

SSE = 287.624

coefficient of determination is $r^2 \approx 0.8402$

What this is telling us is that 84.02% variation in dependent variable y can be fully explained by variation in the independent variable x

The correlation coefficient is $r = 0.917$

Step-by-step explanation:

The table shown the calculated mean is shown on the second uploaded image

Let first define some term

SST (sum of squares total) : This is the difference between the noted dependent variable and the mean of this noted dependent variable

SSR(sum of squared residuals) : this can defined as a predicted shift from the actual observed values of the data

SSE (sum of squared estimate of errors): this can be defined as the sum of the square difference between the observed value and its mean

From the table

$SST = SS_{yy} = 1800$

$SSR = \frac{SS^2_{xy}}{SS_{xx}} = \frac{4755^2}{14950} = 1512.376$

$SSE =SST-SSR$

$=1800 - 1512.376$

$= 287.62$

The coefficient of determination is mathematically represented as

$r^2 = \frac{SSR}{SST}$

$= 1-\frac{SSE}{SST}$

$r^2= 1-\frac{287.6237}{1800}$

$r^2 \approx 0.8402$

The correlation coefficient is mathematically represented as

$r = \pm\sqrt{r^2}$

Substituting values

$r = \sqrt{0.84020}$

$r = 0.917$

this value is + because the value of the coefficient of x in estimated regression equation( $24.9 + 0.301x,$ ) is positive

5 0

3 years ago