What does the 3 in this equation mean or represent? 5n + 3

Find the midpoint given the endpoints (4,-10) (22,-4) Please do not use space when

Elza [17]

Answer: (13,-7)

Step-by-step explanation:

By using the formula $(x_{m},y_{m}) =(\frac{x_{1}+x_{2} }{2},\frac{y_{1}+y_{2} }{2} )$

$(x_{m},y_{m})\\$ is the coordinates of the midpoint.

For finding the midpoint X variable do:

$(\frac{4+22}{2})=13$

For finding the midpoint Y variable do:

$\frac{-10+(-4)}{2} = -7$ (you can either keep the parenthesis or take them out. Either way, the answer is the same.

Considering coordinate numbers follow the format: (x,y), you'll simply just substitute the numbers found above into their respective places.

x: 13

y: -7

(13,-7).

6 0

2 years ago

A triangle is isosceles is the altitude from the vertex angle to the base also passes through the midpoint of the base. What are

leonid [27]

Answer:

The answer to your question is 7 and -1/7

Step-by-step explanation:

Data

First line Second line

B (4, 4) A (0, 1)

M (3.5, 0.5) C (7, 0)

Formula

Slope = m = (y2 - y1) / (x2 - x1)

Process

1.- Calculate the slope of the first-line

x1 = 4 y1 = 4

x2 = 3.5 y2 = 0.5

-Substitution

m = (0.5 - 4) / (3.5 - 4)

-Simplification

m = -3.5 / -0.5

-Result

m = 7

2.- Calculate the slope of the second line

x1 = 0 y1 = 1

x2 = 7 y2 = 0

-Substitution

m = (0 - 1) / (7 - 0)

-Simplification

m = -1/7

-Result

m = -1/7

5 0

3 years ago

Solve. −0.65p − 4 = 0.35p The solution is p =

Nuetrik [128]

Answer:

Step-by-step explanation:

Solution,

p=-4

If you found my answer useful then please mark me brainliest.

6 0

3 years ago

For a quality control test, a company checks the miles per gallon (mpg) for a simple random sample of 100 minivans drawn from it

amm1812

Answer:

95% confidence interval for the average mpg of all minivans in the company's inventory is [15.22 mpg , 15.98 mpg].

Step-by-step explanation:

We are given that a company checks the miles per gallon (mpg) for a simple random sample of 100 minivans drawn from its current inventory.

The average mpg of these 100 minivans is 15.6 with a standard deviation of 1.9 mpg.

Firstly, the pivotal quantity for 95% confidence interval for the population mean is given by;

P.Q. = $\frac{\bar X -\mu}{\frac{s}{\sqrt{n} } }$ ~ $t_n_-_1$

where, $\bar X$ = sample average mpg = 15.6 mpg

s = sample standard deviation = 1.9 mpg

n = sample of minivans = 100

$\mu$ = population average mpg

Here for constructing 95% confidence interval we have used One-sample t test statistics because we don't know about population standard deviation.

So, 95% confidence interval for the population mean, $\mu$ is ;

P(-1.987 < $t_9_9$ < 1.987) = 0.95 {As the critical value of t at 99 degree

of freedom are -1.987 & 1.987 with P = 2.5%}

P(-1.987 < $\frac{\bar X -\mu}{\frac{s}{\sqrt{n} } }$ < 1.987) = 0.95

P( $-1.987 \times {\frac{s}{\sqrt{n} } }$ < ${\bar X -\mu}$ < $1.987 \times {\frac{s}{\sqrt{n} } }$ ) = 0.95

P( $\bar X-1.987 \times {\frac{s}{\sqrt{n} } }$ < $\mu$ < $\bar X+1.987 \times {\frac{s}{\sqrt{n} } }$ ) = 0.95

95% confidence interval for $\mu$ = [ $\bar X-1.987 \times {\frac{s}{\sqrt{n} } }$ , $\bar X+1.987 \times {\frac{s}{\sqrt{n} } }$ ]

= [ $15.6-1.987 \times {\frac{1.9}{\sqrt{100} } }$ , $15.6+1.987 \times {\frac{1.9}{\sqrt{100} } }$ ]

= [15.22 mpg , 15.98 mpg]

Therefore, 95% confidence interval for the average mpg of all minivans in the company's inventory is [15.22 mpg , 15.98 mpg].

It is appropriate to compute a confidence interval for this problem using the Normal curve as t test statistics is used when data should follow normal distribution.

7 0

3 years ago

Hey please help, thank you!!

marin [14]

Answer:

D

Step-by-step explanation:

So we have the equation:

$A=\frac{1}{2}(12)(3+7)$

And we want to find out which of the answer choices is not equivalent.

Thus, let's go through each of the choices.

A)

We have:

$\frac{12(3+7)}{2}$

This is correct.

Our original equation can be written as:

$A=\frac{1}{2}(\frac{12(3+7)}{1})$

And if we multiply straight across:

$A=\frac{12(3+7)}{2}$

We'll get choice A. So choice A is correct.

B)

We have:

$6(3+7)$

This is also correct.

From our original equation:

$A=\frac{1}{2}(12)\cdot(3+7)$

If we multiply the first term together:

$A=6(3+7)$

We'll get choice B. So, choice B is correct.

C)

We have:

$0.5(12)(10)$

This is correct as well.

If we reduce 1/2 to decimal form and add the operations within the parentheses in the original equation, we will get:

$A=\frac{1}{2}(12)(3+7)\\A=0.5(12)(10)$

So, C is also correct.

D)

We have:

$\frac{12}{2}\times\frac{10}{2}$

Note that this is not correct.

This attempted to use the distributive property. However, the distribute property does not work for multiplication. For instance:

$3(2+1)\text{ indeed equals } 3(2)+3(1)$

However:

$3(2\times1)\text{ does not equal} 3(2)\times3(1)$

So, choice D is not equivalent.

So choice D is our answer :)

If we evaluate it, we will get 30, in contrast to the 60 of the others.

5 0

3 years ago