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Lelu [443]
3 years ago
5

Over the last three evenings Karen received a total of 106 phone calls at the call center. The first evening, she received 6 mor

e calls than the second evening. The third evening, she received 3 times as many calls as the second evening. How many phone calla did she receive each evening?
Mathematics
1 answer:
marta [7]3 years ago
3 0

\huge\bf\red{Answer}

<em>The third evening, she received 2 times as many calls as the second evening. The first evening, she received 6 more calls than the second .</em>

<em>hope</em><em> </em><em>it</em><em> </em><em>helps</em><em> </em><em>you</em><em> </em>

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You spin a spinner numbered 1 to 9, and roll a dice numbered 1 to 6. What is the probability of the compound event "getting an e
inna [77]

Answer:

2/27

Step-by-step explanation:

Probability to get an even number on a spinner is 4/9.

Probability of getting a 5 on a die is 1/6.

4/9*1/6=4/54=2/27

3 0
3 years ago
Traveling with the wind, Jerry takes 10 minutes to bicycle to a local library 2.5 km away. Coming back against the wind, it take
olganol [36]

7.5 km/h

Step-by-step explanation:

Let's assign the speed of Jerry in still air as <em>x </em> (in km/h)

Let's assign the speed of the wind as <em>y </em>(in km/h)

With the wind as Jerry’s back, he takes 10 minutes to get to the library. We can create the following equation. (<em>we are converting the minutes to hours by dividing by 60</em>);

2.5 / (x + y) = 10/60

10x + 10y = 150

x + y = 15

With the wind against Jerry, he takes 15 minutes from the library. We can create the following equation;

2.5 / (x-y) = 15/60

15x – 15y = 150

x – y = 10

We can now solve the simultaneous equation by subtraction;

x + y = 15

x – y = 10

2y = 5

y = 5/2 = 2.5

y = 2.5 km/h

x = 7.5 km/h

Learn More:

brainly.com/question/8046928

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7 0
3 years ago
Any Ideas on How to solve this Question? And if possible the Solution itself.
sweet [91]

The lower quartile is 60. Quartiles are the numbers in the middle of the median and lowest/highest number.

5 0
3 years ago
A population is normally distributed with µ = 100 and σ = 10. a sample of size 9 is selected. the probability that an individual
ASHA 777 [7]
A) The empirical rule tells you the probability of being within 1 standard deviation of the mean is 68%.

b) The probability that the sample mean falls within 3 standard deviations* of the mean is 99.7%.

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* The standard deviation of the sample mean is 1/√9 = 1/3 of the standard deviation of an individual sample. Hence the same limits (90-110) now cover 3 standard deviations of the sample mean.
7 0
3 years ago
Create the quadratic function that contains the points (0,2), (1,0), and (3,10). Show all of your work for full credit.
Marina86 [1]

Answer:

y=7/3x²-13/3x+2

Step-by-step explanation:

<u>Determine the value of c:</u>

y=ax²+bx+c

2=a(0)²+b(0)+c

2=c

<u>Substitute (1,0) into the quadratic and create an equation with a and b:</u>

y=ax²+bx+2

0=a(1)²+b(1)+2

0=a+b+2

-2=a+b

<u>Do the same with (3,10) to get a second equation:</u>

y=ax²+bx+2

10=a(3)²+b(3)+2

10=9a+3b+2

8=9a+3b

<u>Set the two equations equal to each other and solve for a and b:</u>

-2=a+b

8=9a+3b

<u>Multiply first equation by 3 and eliminate b to find a:</u>

 -6=3a+3b

- (8=9a+3b)

_______

-14=-6a

14/6=a

7/3=a

<u>Substitute 7/3=a into the first equation:</u>

-2=7/3+b

-2-(7/3)=b

-13/3=b

<u>Final equation:</u>

y=7/3x²-13/3x+2

See the graph for a visual representation

7 0
3 years ago
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