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1 year ago

Find the midpoint of the segment with the given endpoints. (-4,-5) and (10,- 9)

Mathematics

1 answer:

Elanso [62]1 year ago

6 0

Answer:

(3, -7)

Step-by-step explanation:

$\left(\frac{-4+10}{2}, \frac{-5-9}{2} \right)=(3, -7)$

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A bowl contains 4 tangerines and 5 clementines. John randomly selects one piece of fruit, and then Pam randomly selects one of t

andre [41]

Answer:

5/18

Step-by-step explanation:

There are 9 pieces of fruit in the bowl, tangerines and 5 clementines.

Assuming that they do not put the fruit back

P (tangerine) = number of tangerines/ total = 4/9

Then John keeps his and there are 8 pieces of fruit in the bowl,

3 tangerines and 5 clementines.

P (Clementine) = number of clementines/ total = 5/8

P (tangerine, no replacement, Clementine) = P (tangerine) * P (Clementine)

= 4/9 * 5/8 =5/18

6 0

2 years ago

Read 2 more answers

A man spent 58% of his income and the amount of money left was $210. Find his income

professor190 [17]

Answer:

500 $

Step-by-step explanation:

$\frac{42\%}{210}=\frac{100\%}{x}$

$\frac{\frac{21}{50}}{210}=\frac{1}{x}$

$\frac{21}{50}x=210\\$

$\frac{21}{50}x\cdot \:50=210\cdot \:50\\$

x=500

Red

6 0

2 years ago

The population standard deviation for the heights of dogs, in inches, in a city is 3.7 inches. If we want to be 95% confident th

Aleks04 [339]

Answer:

The minimum sample size that can be taken is of 14 dogs.

Step-by-step explanation:

The formula for calculating the minimum sample size to estimate a population mean is given by:

$n=\frac{z^{2}\sigma^{2}}{e^{2}}$

The <u>first step</u> is obtaining the values we're going to use to replace in the formula.

Since we want to be 95% confident, $1-\alpha=0.95 \Rightarrow \alpha=0.05$ .

Therefore we look for the critical value $z_{\alpha/2}=1.96$ .

Then we calculate the variance:

$\sigma = 3.7 \Rightarrow \sigma^{2}=13.69$

And we have that:

$e=2 \Rightarrow e^{2}=4$

<u>Now</u> we replace in the formula with the values we've just obtained:

$n=\frac{1.96^{2}*13.69}{4}=13.1479\approx 14$

Therefore the minimum sample size that can be taken to guarantee that the sample mean is within 2 inches of the population mean is of 14 dogs.

6 0

2 years ago

One of the tables shows a proportional relationship. Graph the line representing the proportional relationship from this table i

Mkey [24]

Answer:

Table C

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form $y/x=k$ or $y=kx$

Find the value of the constant of proportionality in each table

Table A

For $x=-2, y=-4$ ------> $k=-4/-2=2$

For $x=-1, y=-3$ ------> $k=-3/-1=3$

This table has different values of k

therefore

the table A does not represent a proportional relationship

Table B

For $x=-2, y=-4$ ------> $k=-4/-2=2$

For $x=-1, y=-2$ ------> $k=-2/-1=2$

For $x=1, y=3$ ------> $k=3/1=3$

This table has different values of k

therefore

the table B does not represent a proportional relationship

Table C

For $x=-2, y=-4$ ------> $k=-4/-2=2$

For $x=-1, y=-2$ ------> $k=-2/-1=2$

For $x=1, y=2$ ------> $k=2/1=2$

For $x=2, y=4$ ------> $k=4/2=2$

This table has the same value of k

therefore

the table C represent a proportional relationship

Table D

For $x=-2, y=-4$ ------> $k=-4/-2=2$

For $x=-1, y=-2$ ------> $k=-2/-1=2$

For $x=1, y=2$ ------> $k=2/1=2$

For $x=2, y=6$ ------> $k=6/2=3$

This table has different values of k

therefore

the table D does not represent a proportional relationship

3 0

3 years ago

Read 2 more answers

Aflati un numar natural care impartit la 17 da catul 23 si restul 11.

Anit [1.1K]

I cannot understand what you are saying

5 0

2 years ago