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2 years ago

Francisco needed to get his computer fixed. He took it to the repair

Mathematics

1 answer:

grin007 [14]2 years ago

6 0

Answer:

$95 per hour

Step-by-step explanation:

The total of charges is the sum of the cost of labor and the cost of parts. The cost of labor is the product of hours (5) and the cost per hour (x). Then the equation for total cost is ...

total cost = parts cost + hours cost

651 = 176 + 5x

475 = 5x . . . . . . . subtract 176

95 = x . . . . . . . . . divide by 5

The cost of labor per hour is $95.

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What are the focus and directrix of the parabola with the equation y=1/16x^2

Vlada [557]

Y=1/16x^2
multiplying both sides by 16 we get:
16y=x^2
The general form of a parabola is:
(x-h)^2=4p(y-k)
thus
4p=16
p=4
The parabola opens upwrd:
Focus: (h,k-p)
(0,0-4)
=(0,-4)
Directrix: y=-4

8 0

3 years ago

Researchers claim that 8% of people have blue eyes. Suppose the researchers' claim is true. Mrs. Greene has a Geometry class wit

vovikov84 [41]

Answer:

Probability that exactly 5 of them have blue eyes is 0.1165.

Step-by-step explanation:

We are given that Researchers claim that 8% of people have blue eyes. Suppose the researchers' claim is true. Mrs. Greene has a Geometry class with 40 students.

The above situation can be represented through Binomial distribution;

$P(X=r) = \binom{n}{r}p^{r} (1-p)^{n-r} ; x = 0,1,2,3,.....$

where, n = number of trials (samples) taken = 40 students

r = number of success = exactly 5

p = probability of success which in our question is % of people

having blue eyes, i.e; 8%

LET X = Number of students having blue eyes

So, it means X ~ $Binom(n= 40,p=0.08)$

Now, Probability that exactly 5 of them have blue eyes is given by = P(X = 5)

P(X = 5) = $\binom{40}{5}\times 0.08^{5} \times (1-0.08)^{40-5}$

= $658008 \times 0.08^{5} \times 0.92^{35}$

= 0.1165

Therefore, Probability that exactly 5 of them have blue eyes is 0.1165.

7 0

3 years ago

Math help its urgent. I'll mark brainliest!!!

Goshia [24]

It's been such a long time, but I think (1) should be the addition property since your adding 5 to both sides.

And (2) should be the multiplication property due to multiplying both sides by 2.

3 0

3 years ago

A $104.000 selling price with $24000 down at 8 1/2% for 25 years results in a monthly payment of

romanna [79]

*******************************************************
(See attached formula)
Loan Principal = 104,000 - 24,000 = 80,000
rate = 8.5 / 1,200 = 0.0070833333 
time = 25 years = 300 months

Monthly Payment = 0.0070833333 + [ 0.0070833333 / ((1.0070833333)^300 -1)) ] *principal

Monthly Payment = 0.0070833333 + [ 0.0070833333 / ( 8.3104129461 -1)] * 80,000
Monthly Payment = 0.0070833333 + [ 0.0070833333 / ( 7.3104129461)] * 80,000
Monthly Payment = (0.0070833333 + 0.00096893750767) * 80,000
Monthly Payment = 0.00805227080767 * 80,000
Monthly Payment = 644.18

Source:
http://www.1728.org/calcloan.htm

3 0

3 years ago

2-3. The triangles below are drawn to scale and congruent sides and angles are indicated with tick marks.

mihalych1998 [28]

Answer: The triangles are congruent by SAS(side-angle-side)

Step-by-step explanation:

The triangles are congruent because 2 corresponding sides and one corresponding angle are given as congruent in an order respectable as a congruency statement(the SAS part).

6 0

2 years ago