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r-ruslan [8.4K]
3 years ago
15

Carlos earned $112 for 8 hours of work. AT THIS RATE, how much will he

Mathematics
2 answers:
nordsb [41]3 years ago
6 0
Explanation:
$
112
÷
8
h
=
X
÷
40
h
or
$
112
8
h
=
X
40
h
Cross-multiply:
X
×
8
h
=
$
112
×
40
h
Divide by
8
h
:
X
=
$
112
×
(
5
×
8
)
h
8
h
=
$
112
×
5
=
$
560
Note :
Of course you could have seen that
40
=
5
×
8
so the money would also be
5
×
as much.
Or you could have set up the ratio differently:
40
h
8
h
=
X
$
112
→
5
=
X
$
112
→
X
=
5
×
$
112
eimsori [14]3 years ago
4 0

Answer:

he earns $14 per hour so multiply 14 by 40=560

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Answer and show work.<br><br> 1.) 9 - t = 3 (t -5) <br><br> 2.) 5 (5y + 1) =10y - 25
AlladinOne [14]

Answer:

1. 6

2. 2

Step-by-step explanation:

1. 9-t=3(t-5)

9-t=3t-15

+t +t

9=4t-15

+15 +15

<u>24</u>=<u>4t</u>

4 4

6=t

2.5(5y+1)=10y-25

25y+5=10y-25

+25 +25

25y+30=10y

-25 -25

<u>30</u>=<u>-15y</u>

15 15

2=y

6 0
3 years ago
Probabilities with possible states of nature: s1, s2, and s3. Suppose that you are given a decision situation with three possibl
amm1812

Answer:

1. P(s_1|I)=\frac{1}{11}

2. P(s_2|I)=\frac{8}{11}

3. P(s_3|I)=\frac{2}{11}

Step-by-step explanation:

Given information:

P(s_1)=0.1, P(s_2)=0.6, P(s_3)=0.3

P(I|s_1)=0.15,P(I|s_2)=0.2,P(I|s_3)=0.1

(1)

We need to find the value of P(s₁|I).

P(s_1|I)=\frac{P(I|s_1)P(s_1)}{P(I|s_1)P(s_1)+P(I|s_2)P(s_2)+P(I|s_3)P(s_3)}

P(s_1|I)=\frac{(0.15)(0.1)}{(0.15)(0.1)+(0.2)(0.6)+(0.1)(0.3)}

P(s_1|I)=\frac{0.015}{0.015+0.12+0.03}

P(s_1|I)=\frac{0.015}{0.165}

P(s_1|I)=\frac{1}{11}

Therefore the value of P(s₁|I) is \frac{1}{11}.

(2)

We need to find the value of P(s₂|I).

P(s_2|I)=\frac{P(I|s_2)P(s_2)}{P(I|s_1)P(s_1)+P(I|s_2)P(s_2)+P(I|s_3)P(s_3)}

P(s_2|I)=\frac{(0.2)(0.6)}{(0.15)(0.1)+(0.2)(0.6)+(0.1)(0.3)}

P(s_2|I)=\frac{0.12}{0.015+0.12+0.03}

P(s_2|I)=\frac{0.12}{0.165}

P(s_2|I)=\frac{8}{11}

Therefore the value of P(s₂|I) is \frac{8}{11}.

(3)

We need to find the value of P(s₃|I).

P(s_3|I)=\frac{P(I|s_3)P(s_3)}{P(I|s_1)P(s_1)+P(I|s_2)P(s_2)+P(I|s_3)P(s_3)}

P(s_3|I)=\frac{(0.1)(0.3)}{(0.15)(0.1)+(0.2)(0.6)+(0.1)(0.3)}

P(s_3|I)=\frac{0.03}{0.015+0.12+0.03}

P(s_3|I)=\frac{0.03}{0.165}

P(s_3|I)=\frac{2}{11}

Therefore the value of P(s₃|I) is \frac{2}{11}.

4 0
3 years ago
On Monday, the ABC Company stock was at $12.80 per share. On Tuesday it gained $3.42, and then lost $9.70 on Wednesday. What is
solong [7]

Answer:

Step-by-step explanation:

12.80+3.42= 16.22

16.22-9.70= 6.52 that's your answer

6 0
3 years ago
paleontologist have put together bones to make a T-Rex skull that has a mass of 600 pounds. They just found a new tooth fossil t
Ulleksa [173]
16 ounces = 1 pound
meaning 2.5 pounds is added to the skull, 602.5 pounds.
6 0
3 years ago
Read 2 more answers
BRAINLIEST ASAP! PLEASE HELP ME :)
marta [7]
<h3>Answer: C) none of the equations are identities</h3>

If you plugged theta = 0 into the first equation, then you would have

sin(45) + cos(45) = sin(0) + cos(0)

sqrt(2) = 1

which is a false equation. We don't have an identity here.

The same story happens with the second equation. Plug in theta = 0 and it becomes

cos(60) - sin(60) = cos^2(0) + tan(0)

1/2 - sqrt(3)/2 = 1 + 0

-0.37 = 1

which is false.

6 0
3 years ago
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