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Luda [366]
2 years ago
6

What is the area of this rectangle?

Mathematics
1 answer:
Tanzania [10]2 years ago
5 0

Answer:

A = 42 sq ft

Step-by-step explanation:

Area of Rectangle:

A = l(w)

A = 14(3)

A = 42 sq ft

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Find the measure of the are or central angle indicated. Assume that lines which appear to be
Alina [70]

9514 1404 393

Answer:

  ?° = 153°

Step-by-step explanation:

The measure of an arc is the same as the measure of the central angle it subtends. The arc is marked 153°. The central angle (?°) has that same measure.

  ?° = 153°

5 0
3 years ago
What’s the equation in vertex form?
pshichka [43]

Answer:

\large\boxed{y=(x+5)^2-64}

Step-by-step explanation:

\text{The vertex form of equation}\ y=ax^2+bx+c:\\\\y=a(x-h)^2+k\\\\h=\dfrac{-b}{2a},\ k=f(h)\\\\\text{We have the equation:}\ y=x^2+10x-39\to x=1,\ b=10,\ c=-39.\\\\\text{Substitute:}\\\\h=\dfrac{-10}{2(1)}=\dfrac{-10}{2}=-5\\\\k=f(-5)=(-5)^2+10(-5)-39=25-50-39=-64\\\\\text{Finally:}\\\\y=1(x-(-5))^2-64=(x+5)^2-64

8 0
3 years ago
A person makes 300 dollars a month babysitting. If they
Keith_Richards [23]

Answer:

They will save $90 each month

Step-by-step explanation:

300*30%

or

300*.3

90

7 0
2 years ago
Assume that hybridization experiments are conducted with peas having the property that for offspring, there is a 0.75 probabilit
Verdich [7]

Answer:

a) Standard Deviation = 2.74

b) Significantly Low = values below 24.52 (or equal)

Significantly High = values above 35.48 (or equal)

Step-by-step explanation:

This is binomial probability distribution problem.

Where n = 40 [groups of 40, total trials]

p = 0.75 [probability of success]

a)

The formula for standard deviation is:

Standard \ Deviation = \sqrt{np(1-p)}

We know  n = 40 and p = 0.75, so the standard deviation is:

Standard \ Deviation = \sqrt{np(1-p)} \\Standard \ Deviation = \sqrt{(40)(0.75)(1-0.75)}\\ Standard \ Deviation = 2.74

b)

the range rule of thumb tells us that usual range of values is within 2 standard deviation of the mean. First let's calculate mean.

We know,

Mean = n * p = 40 * 0.75 = 30

So

Mean - 2* Standard Deviation = 30 - 2(2.74) = 24.52

and

Mean + 2* Standard Deviation = 30 + 2(2.74) = 35.48

Significantly Low = values below 24.52 (or equal)

Significantly High = values above 35.48 (or equal)

8 0
3 years ago
Suppose y varies directly with x. Write a direct variation equation that relates x and y. Then find the value of y when x = 7.
Sonja [21]
For direct variation, y = kx
8 = -4k
k = 8/-4 = -2

Therefore, required equation is y = -2x

when x = 7, y = -2(7) = -14
4 0
3 years ago
Read 2 more answers
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