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Vinvika [58]
2 years ago
6

7

Mathematics
1 answer:
Valentin [98]2 years ago
5 0

9514 1404 393

Answer:

  A.  -1 ≤ x ≤ 3

Step-by-step explanation:

The range is the horizontal extent of the graph--the set of x-values for which the function is defined. Here, the graph extends from x = -1 to x = 3, with both end points included. The range is ...

  -1 ≤ x ≤ 3

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The smallest integer that can be added to -2m3 − m + m2 + 1 to make it completely divisible by m + 1 is
QveST [7]
Hello,
 
-2m^3+m²-m+1=(m+1)(-2m²+3m-4) +5

We must add -5 ; the remainder will be 5-5=0.

3 0
3 years ago
Can someone help w number 4
strojnjashka [21]

Answer:

angle DFG = 49 degrees

angle JKL = 41 degrees

Step-by-step explanation:

When angles are complementary with each other, it means that if you add both of the angles up, it adds up to 90 degrees.

In this question, you would have to add up angle DFG and angle JKL and find the x that makes the equation equal to 90 degrees.

angle DFG = x + 5

angle JKL = x - 3

(x + 5) + (x - 3) = 90

2x + 2 = 90

2x = 90 - 2

2x = 88

x = 44

But since we have to find out the angle measures, we have to the "x = 44" with the x's in the DFG and JKL angles.

DFG = (44) + 5 = 49

JKL = (44) - 3 = 41

7 0
3 years ago
Has two or more independent clauses without any punctuation between
n200080 [17]

Answer:

the answer is fused sentence i believe if thats what your asking

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Two opposing opinions were shown to a random sample of 1,500 buyers of a particular political news app in the United States. The
kifflom [539]

Answer:

A) 98% Confidence interval for the proportion of all US buyers of this particular app who would have chosen Opinion B

= (0.51, 0.57)

This means that the true proportion of all thay would chose opinion B can take on values between the range of (0.51, 0.57)

B) For the confidence interval obtained to be valid, the conditions stated must be satisfied and for the sampling distribution to be approximately normal, the number of buyers that chose Opinion B and the number of buyers that did not choose Opinion B must both be greater than 10.

Step-by-step explanation:

Confidence Interval for the population proportion is basically an interval of range of values where the true population proportion can be found with a certain level of confidence.

Mathematically,

Confidence Interval = (Sample proportion) ± (Margin of error)

Sample proportion of all US buyers of this particular app who would have chosen Opinion B = 0.54

Margin of Error is the width of the confidence interval about the mean.

It is given mathematically as,

Margin of Error = (Critical value) × (standard Error)

Critical value at 98% confidence interval for sample size of 1500 is obtained from the z-tables.

Critical value = 2.33

Standard error = σₓ = √[p(1-p)/n]

p = sample proportion = 0.54

n = sample size = 1500

σₓ = √(0.54×0.46/1500) = 0.0128685664 = 0.01287

98% Confidence Interval = (Sample proportion) ± [(Critical value) × (standard Error)]

CI = 0.54 ± (2.33 × 0.01287)

CI = 0.54 ± 0.02998)

98% CI = (0.51, 0.57)

98% Confidence interval = (0.51, 0.57)

B) The number of buyers that chose Opinion B and the number of buyers that did not choose Opinion B are both greater than 10. Why must this inference condition be met?

For this confidence interval to be obtained using sample data, a couple of conditions are necessary to be satisfied. They include;

- The sample data must have been obtained using a random sampling technique.

- The sampling distribution must be normal or approximately normal.

- The variables of the sample data must be independent of each other.

On the second point, the condition for a binomial distribution to approximate a normal distribution is that

np ≥ 10

and n(1-p) ≥ 10

The quantity np is the actual sample mean which is the actual number of buyers that chose Opinion B while n(1-p) is the number of buyers that did not chose Opinion B.

For the confidence interval obtained to be valid, the conditions stated must be satisfied and for the sampling distribution to be approximately normal, the number of buyers that chose Opinion B and the number of buyers that did not choose Opinion B must both be greater than 10.

Hope this Helps!!!

8 0
3 years ago
Write the missing exponent <br><br> 256 = <br><img src="https://tex.z-dn.net/?f=%20%7B%3F%7D%5E%7B4%7D%20" id="TexFormula1" titl
antiseptic1488 [7]

Answer:

4^4

Step-by-step explanation:

256\div4=64\div4=16\div4=4

4\times4\times4\times4=256

4^4=256

Hope this helps.

3 0
3 years ago
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