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2 years ago

Susan earned $12 for babysitting her cousin for 3 hours. At this rate, how long will it take her to earn $90?

Mathematics

2 answers:

Anna11 [10]2 years ago

8 0

The answer 22.5 hours

Dennis_Churaev [7]2 years ago

7 0

It would take 19.5 hours

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Find the unknown quantity

ycow [4]

I= $75

500 x 5% x 3 years = 75

5 0

3 years ago

6. Two points in the plane, ????(19,4) and ????(19,−6), represent the endpoints of the diameter of a circle.

dusya [7]

Answer:

Radius = 5

center is (19,-1)

$(x-19)^2(y+1)^2= 25$

Step-by-step explanation:

Two points in the plane, (19,4) and (19,−6), represent the endpoints of the diameter of a circle.

Distance between the points is calculated using formula

$d=\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}$

$=\sqrt{\left(19-19\right)^2+\left(-6-4\right)^2}=10$

diameter = 10

radius = diameter divide by 2

Radius = 5

midpoint is the center of the circle

$\left(\frac{x_2+x_1}{2},\:\:\frac{y_2+y_1}{2}\right)$

$\left(\frac{19+19}{2},\:\frac{-6+4}{2}\right)$

(19,-1)

Equation of the circle

$(x-h)^2(y-k)^2= r^2$

h,k is the center and r is the radius

h=19 and k=-1 , r=5

$(x-19)^2(y+1)^2= 25$

8 0

3 years ago

Use the formula C(n, x)pxqn − x to determine the probability of the given event. (Round your answer to four decimal places.) The

miskamm [114]

Answer: 0.1334

Step-by-step explanation:

Given

There are seven trails with a probability of success is $p=\frac{1}{4}$

$\therefore q=1-p\\q=1-\frac{1}{4}\\q=\frac{3}{4}$

Using the binomial distribution, the Probability of exactly no success i.e. x=0 is given by

$\Rightarrow ^7C_0\cdot p^0 \cdot q^{7-0}\\\Rightarrow 1\times(\frac{1}{4})^0 \cdot (\frac{3}{4})^7\\\Rightarrow 1\times 1 \cdot (0.75)^7\\\Rightarrow 0.1334$

7 0

3 years ago

The geometric sequence that tells the perimeter of each stage in the building of Koch's snowflake has a first term of 3 and a ra

kari74 [83]

An = a1 * r^(n-1)
n = term to find = 18
a1 = first term = 3
r = common ratio = 4/3
now we sub

a18 = 3 * 4/3^(18 - 1)
a18 = 3 * 4/3^17
a18 = 3 * 133
a18 = 399

4 0

3 years ago

The surface area of this triangular pyramid, whose base and lateral faces are congruent equilateral triangles, is __ square inch

DedPeter [7]

Answer:

The surface area is equal to $390\ in^{2}$