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soldier1979 [14.2K]
2 years ago
12

Jonas buys a new hat that costs 9.05 Kara buys a new t shirt

Mathematics
1 answer:
maksim [4K]2 years ago
8 0
What's are you trying to find?
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If c(x)= 5/x-2 and d(x) = x + 3, what is the domain of (cd)(x)?
Nataly [62]

(fg)(x)=f(x)\cdot g(x)\\\\\text{We have}\ c(x)=\dfrac{5}{x-2}\ \text{and}\ d(x)=x+3.\ \text{Substitute}\\\\(cd)(x)=\dfrac{5}{x-2}\cdot(x+3)=\dfrac{5(x+3)}{x-2}\\\\\text{Domain:}\\\\\text{The denominator must be different than zero. Therefore}\\\\x-2\neq0\to x\neq2\\\\Answer:\ \text{Domain is the set of all real numbers except 2}\to D=\mathbb{R}-\{2\}

3 0
3 years ago
Chance can wash the car in 2 hours, while Sandy can wash the same car in 4 hours. How many hours would it take for them to wash
aliya0001 [1]

Answer:  First Option is correct.

Step-by-step explanation:

Since we have given that

Number of hours Chance can wash the car = 2 hours

Number of hours Sandy can wash the car = 4 hours

Work done by Chance per hour is given by

\frac{1}{2}

Work done by Sandy per hour is given by

\frac{1}{4}

Work done by altogether per hour is given by

\frac{1}{2}+\frac{1}{4}\\\\=\frac{2+1}{4}\\\\=\frac{3}{4}

So, Number of hours they take if they together wash the car is given by

\frac{4}{3}

Hence, First Option is correct.

6 0
3 years ago
Read 2 more answers
Bobby is testing the effectiveness of a new cough medication. There are 100 people with a cough in the study. Seventy patients r
Tresset [83]

Answer:

0.665

Step-by-step explanation:

Given:  100 people are split into two groups 70 and 30.  I group is given cough syrup treatment but second group did not.

Prob for a person to be in the cough medication group = 0.70

Out of people who received medication, 34% did not have cough

Prob for a person to be in cough medication and did not have cough

=\frac{0.70(34)}{60}=0.397


Prob for a person to be not in cough medication and did not have cough

=\frac{0.3(20)}{30}=0.20

Probability for a person not to have cough

= P(M1C')+P(M2C')

where M1 = event of having medication and M2 = not having medication and C' not having cough

This is because M1 and M2 are mutually exclusive and exhaustive

SO P(C') = 0.397+0.2=0.597

Hence required prob =P(M1/C') = \frac{0.397}{0.597}=0.665

4 0
3 years ago
Read 2 more answers
A basketball player makes 30% of her foul shots. she shoots 5 foul shots. you are interested in the number of shots that she mak
vampirchik [111]
This would be a binomial model, since there is a fixed number of trials, the probabilities are independent and there are only two choices (either the shot is made or missed).
5 0
3 years ago
Help I don’t know the answer
pogonyaev
Bufhenjseuhrcubyfbtbvyx-p
7 0
3 years ago
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