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3 years ago

A student shines a light through a prism which causes a rainbow to form onto a piece of paper. The student then places

Mathematics

1 answer:

vivado [14]3 years ago

8 0

Color of the light depends on the temperature.

(Dependent) (Independent)

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Solve for u -2/9u=10

Nata [24]

Answer:

$u = -45$

Step-by-step explanation:

<u>Step 1: Multiply both sides by -9/2</u>

<u /> $-\frac{2}{9}u = 10$

$-\frac{9}{2} *-\frac{2}{9}u = 10 * -\frac{9}{2}$

$u = -\frac{90}{2}$

$u = -45$

Answer: $u = -45$

8 0

3 years ago

The weights of adobe bricks used for construction are normally distributed with a mean of 3 pounds and a standard deviation of 0

dedylja [7]

Answer: a) 0.8413, b) 0.9987.

Step-by-step explanation:

Since we have given that

Mean = 3 pounds

Standard deviation = 0.25 pounds

n = 28 bricks

So, (a) What is the probability that all the bricks in the sample exceed 2.75 pounds?

$P(X>2.75)\\\\=P(z>\dfrac{2.75-3}{0.25}\\\\=P(z>\dfrac{-0.25}{0.25})\\\\=P(z>-1)\\\\=0.8413$

b) What is the probability that the heaviest brick in the sample exceeds 3.75 pounds?

$P(X>3.75)\\\\=P(z>\dfrac{3.75-3}{0.25})\\\\=P(z>\dfrac{0.75}{0.25})\\\\=P(z>3)\\\\=0.9987$

Hence, a) 0.8413, b) 0.9987.

4 0

3 years ago

The interest rate on the marshals variable rate mortgage increased from 10% to 12%. Their old monthly payment was $437.24. their

kakasveta [241]

Step-by-step explanation:

the difference in monthly pymts $59. 49/mthly

$59.49 × 12 = $713.88 increase in pymts in 1 year.

8 0

3 years ago

The base of a pyramid has n sides. write an expression for the number of corners on the pyramid.

melisa1 [442]

Answer:

n+1

If a pyramid has n number of sides

⇒number of vertices in the base = n

Since in a pyramid there is one vertex on the top,and n number of faces are on the sides,and one face is in the base.

Total number of faces of pyramid = n+1

7 0

3 years ago

Quadrilateral DEFG - quadrilateral KLMN. Find the given side length.

Delvig [45]

Answer:

Step-by-step explanation:

By the diagram FG = MN.

3y + 3 = 5y - 25 Add 25 to both sides

3y + 3 + 25 = 5y Subtract 3y from both sides

28 = 5y - 3y Combine

28 = 2y Divide by 2

28/2 = 2y/2

y = 15

15 is not your answer. It is just the value of y.

3y + 3 = 3*15 + 3 = 45 + 3 = 48

3 0

3 years ago