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Dafna1 [17]
3 years ago
11

1 point

Mathematics
1 answer:
Over [174]3 years ago
3 0
Answer:8

Step by step explanation
So we calculate the range by subtracting the highest score by the lowest score.
In this case the highest score is twelve.
Whereas, the lowest score is four
Then, we minus twelve by four to get an answer of eight
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Two numbers multiply to be -7 and add to be -6. What are the numbers?<br><br> Example; 2,3
rewona [7]

<u>Given</u>:

Let the two numbers be x and y.

Two numbers multiply to be -7 and add to be -6.

This can be written in equation as,

xy=-7 and

x+y=-6

<u>Value of the two numbers:</u>

Let us determine the value of the two numbers using substitution method.

Substituting y=-6-x in the equation xy=-7, we get;

x(-6-x)=-7

Simplifying, we get;

       -6x-x^2=-7

   x^2+6x-7=0

(x+7)(x-1)=0

x=-7, 1

Thus, the values of x are x = 1,-7

When x = 1 , the equation x+y=-6 becomes y=-7

When x = -7, the equation x+y=-6 becomes y=1

Therefore, the two numbers are 1 and -7

3 0
3 years ago
I need help on 5-7. Its a little confusing for me
Len [333]

Answer:

5. x = 5, y = 3

6. x = 0, y = 4

7. x = -1, y = 1

Step-by-step explanation:

5. substitute 3(value of y) into the equation y = x - 2:

=> 3 = x - 2

=> x = 5

6. substitute 0(value of x) into the equation y = x + 4:

=> y = 0 + 4

=> y = 4

7. substitute 1(value of y) into the equation y = 2x + 3:

=> 1 = 2x + 3

=> 2x = -2

=> x = -1

8 0
3 years ago
A restaurant offers a choice of 4 salads, 9 main courses, and 4 desserts. How many possible 3-course meals are there
Sergeu [11.5K]

Answer:

144

Step-by-step explanation:

Multiply each option together 9X4X4=144

8 0
3 years ago
12,548 rounded to the nearest thousand and 4,685 rounded to the nearest thousand​
ehidna [41]

Answer:

12,548 rounded to the nearest thousand is 13,000 and 4,685 rounded to the nearest thousand is 5,000

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
a major metroplitan newspaper selected a simple random sample of 1,600 readers from their list of 100,000 subscribers. they aske
Arisa [49]

Answer:

The 99% confidence interval for the proportion of readers who would like more coverage of local news is (0.3685, 0.4315).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

z is the zscore that has a pvalue of 1 - \frac{\alpha}{2}.

For this problem, we have that:

n = 1600, \pi = 0.4

99% confidence level

So \alpha = 0.01, z is the value of Z that has a pvalue of 1 - \frac{0.01}{2} = 0.995, so Z = 2.575.

The lower limit of this interval is:

\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.4 - 2.575\sqrt{\frac{0.4*0.6}{1600}} = 0.3685

The upper limit of this interval is:

\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.4 + 2.575\sqrt{\frac{0.4*0.6}{1600}} = 0.4315

The 99% confidence interval for the proportion of readers who would like more coverage of local news is (0.3685, 0.4315).

7 0
3 years ago
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