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Iteru [2.4K]
1 year ago
7

carmen is an electrician she charges an initial fee of $32 plus $33 per hour if carmen earned $197 on a job how long did the job

take?
Mathematics
2 answers:
nydimaria [60]1 year ago
6 0
Hope this helps but the answer is that she worked for 5 hours because      
197-32=165.  165/33=5 so she worked 5 hours.
nadezda [96]1 year ago
4 0

197 = 32 + 33x

165=33x

x = 5

so she worked 5 hours

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A toddler is allowed to dress himself on Mondays, Wednesdays, and Fridays. For each of his shirt, pants, and shoes, he is equall
avanturin [10]

Answer:

0.0286 = 2.86% probability that today is Monday.

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

P(B|A) = \frac{P(A \cap B)}{P(A)}

In which

P(B|A) is the probability of event B happening, given that A happened.

P(A \cap B) is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Dressed correctly

Event B: Monday

Probability of being dressed correctly:

100% = 1 out of 4/7(mom dresses).

(0.5)^3 = 0.125 out of 3/7(toddler dresses himself). So

P(A) = 0.125\frac{3}{7} + \frac{4}{7} = \frac{0.125*3 + 4}{7} = \frac{4.375}{7} = 0.625

Probability of being dressed correctly and being Monday:

The toddler dresses himself on Monday, so (0.5)^3 = 0.125 probability of him being dressed correctly, 1/7 probability of being Monday, so:

P(A \cap B) = 0.125\frac{1}{7} = 0.0179

What is the probability that today is Monday?

P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.0179}{0.625} = 0.0286

0.0286 = 2.86% probability that today is Monday.

4 0
1 year ago
The histogram shows the number of cell phone calls received by Medera, a middle school student, one Saturday from 10 a.m. to 10
Anni [7]

Answer:

The hours when zero calls were received were most possibly when Madera turned the phone off while playing in a soccer game.

Step-by-step explanation:

According to the question,

Madera, a middle school student, received some phone calls on one Saturday from 10 a.m. to 10 p.m.

The hours when zero calls were received were most possibly when Madera turned the phone off while playing in a soccer game.

4 0
1 year ago
Read 2 more answers
For each of the following integrals, indicate whether integration by substitution or integration by parts is more appropriate, o
Andrei [34K]

Answer:

a. ∫ xSinx dx

iii. integration by parts

u =x and dv= sinx

b. ∫ x⁴/(1+x³). dx  

ii. neither

Long division is an option here before integration is done

c. ∫ x⁴. e^x³. dx

i. substitution

where u = x⁵

d. ∫x⁴ cos(x⁵). dx

i. substitution

where u = x⁵

e. ∫1/√9x+1 .dx

i. substitution

where u = 9x+1

6 0
1 year ago
A small manufacturer constructs refrigerators. The fixed monthly cost is $200,000, and it costs $450 to produce one refrigerator
kaheart [24]

Answer: Horizontal asymptote of c(x) is 450.

Step-by-step explanation:

Since we have given that

Cost to produce one refrigerator = $450

Fixed monthly cost = $200,000

So, Average cost function to produce x refrigerators is given by

c(x)=\dfrac{200000+450x}{x}

Horizontal asymptote of c(x) would be

\dfrac{450x}{x}\\\\=450

Hence, Horizontal asymptote of c(x) is 450.

6 0
2 years ago
Read 2 more answers
Draw hundred boxes ten sticks and circles to show a number between 100 and 200
zaharov [31]
I chose the number 155

6 0
1 year ago
Read 2 more answers
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