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3 years ago

What is 78=g-97 equal?

Mathematics

2 answers:

Eva8 [605]3 years ago

5 0

The answer is 174 because you can simply do 97+78

zepelin [54]3 years ago

3 0

The answer to your problem is g=175

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Can someone help geometry is confusing

NikAS [45]

<LMP and <NMP are supplementary angles so sum = 180

<LMP + <NMP = 180

(-16x + 13) + ( - 20x + 23) = 180

-16x + 13 - 20x + 23 = 180

-36x + 36 = 180

-36x = 144

x = -4

<LMP = -16x + 13 = -16(-4) + 13 = 77

<NMP = - 20x + 23 = - 20(-4) + 23 = 103

Answer

<LMP = 77°

<NMP = 103°

5 0

2 years ago

The number of potholes in any given 1-mile stretch of freeway pavement in Pennsylvania has a Normal distribution. This distribut

Iteru [2.4K]

Answer:

83.85% of 1-mile long roadways with potholes numbering between 22 and 58

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

68% of the measures are within 1 standard deviation of the mean.

95% of the measures are within 2 standard deviation of the mean.

99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

Mean = 49

Standard deviation = 9

Using the Empirical Rule, what is the approximate percentage of 1-mile long roadways with potholes numbering between 22 and 58?

22 = 49 - 3*9

So 22 is three standard deviations below the mean.

Since the normal distribution is symmetric, 50% of the measures are below the mean and 50% are above the mean.

Of those 50% which are below the mean, 99.7% of those are within 3 standard deviations of the mean, that is, greater than 22.

58 = 49 + 9

So 58 is one standard deviation of the mean.

Of those which are above the mean, 68% are within 1 standard deviation of the mean, that is, lesser than 58.

Then

0.997*0.5 + 0.68*0.5 = 0.8385 = 83.85%

83.85% of 1-mile long roadways with potholes numbering between 22 and 58

5 0

3 years ago

Pentagon PQRST and its reflection, pentagon P'Q'R'S'T', are shown in the coordinate plane below:

bagirrra123 [75]

Answer: Choice A) x = 0

The line x = 0 lines up perfectly with the y axis. So the line of reflection is the y axis.

6 0

3 years ago

Read 2 more answers

Stella graphs the equation y=1/3x – 2

faltersainse [42]

we have

$y=\frac{1}{3}x-2$

Statements

case A) The graph is a straight line.

The statement is True

Because, this is a linear equation (see the attached figure)

case B) The line passes through the origin.

The statement is False

Because the point $(0,0)$ is not a solution of the equation

Verify

Substitute the value of x and y in the equation

$0=\frac{1}{3}*0-2$

$0=-2$ ------> is not true

the point $(0,0)$ is not a solution

therefore

The line does not pass through the origin

case C) The line passes through the point $(0,-2)$

The statement is True

Because the point $(0,-2)$ is a solution of the equation

Verify

Substitute the value of x and y in the equation

$-2=\frac{1}{3}*0-2$

$-2=-2$ ------> is true

the point $(0,-2)$ is a solution

therefore

The line passes through the point $(0,-2)$

case D) The slope of the line is $3$

The statement is False

Because, the slope of the line is $m=\frac{1}{3}$

case E) The y-intercept of the line is $2$

The statement is False

we know that

The y-intercept is the value of y when the value of x is equal to zero

For $x=0$

find the value of y

$y=\frac{1}{3}*0-2=-2$

the y-intercept is equal to $-2$

5 0

3 years ago

Read 2 more answers

If y varies inversely as x and y is 2.5 when x is 6, what is y when x is 4?

Delicious77 [7]

Y=k/x
2.5=k/6
k=15

wheny x=4, y=15/4
y=3.75

6 0

3 years ago