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2 years ago

For the figure below the base area and the height has been provided. find the VOLUME

Mathematics

1 answer:

Inga [223]2 years ago

4 0

Answer:

Step-by-step explanation:

To find the volume of this solid, multiply the base area by the height:

V = (25 cm²)(4 cm) = 100 cm³

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(-4, -7) and (-6, 9) in slope-intercept form. Show work

BigorU [14]

Answer:

Equation of line in slope-intercept form is: y = -8x-39

Step-by-step explanation:

Given points are:

(-4, -7) and (-6, 9)

The slope-intercept form is given by the equation

$y = mx+b$

Here m is the slope of the line and b is the y-intercept.

m is found using the formula

$m = \frac{y_2-y_1}{x_2-x_1}$

Here

(x1,y1) = (-4-7)

(x2,y2) = (-6,9)

Putting the values in the formula

$m = \frac{9+7}{-6+4} = \frac{16}{-2} = -8$

Putting slope in general equation

$y = -8x+b$

Putting (-6,9) in the equation

$9 = -8(-6)+b\\9 = 48+b\\b = 9-48\\b = -39$

Putting the value of b we get

$y = -8x-39$

Hence,

Equation of line in slope-intercept form is: y = -8x-39

5 0

3 years ago

Please help asap!! will give brainlist :)

Naddik [55]

Yo sup??

Area of trapezium=1/2*(sum of opposite sides)*(height of trapezium)

=1/2*(12.5+17.5)*6

=1/2*30*6

=90 cm²

Therefore the correct answer is option A

Hope this helps.

8 0

3 years ago

Read 2 more answers

For a standardized psychology examination intended for psychology majors, the historical data show that scores have a mean of 50

Volgvan

Answer:

$P(\bar X>530)=1-0.808=0.192$

Step-by-step explanation:

1) Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

Let X the random variable that represent the scores, and for this case we know the distribution for X is given by:

$X \sim N(\mu=505,\sigma=170)$