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suter [353]
3 years ago
10

What is the expression -7x2 + 32x + 240 in factored form?

Mathematics
1 answer:
GrogVix [38]3 years ago
5 0

Answer:

I believe the answer is -1 (7x-60)(x+4)

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Find the equation of the circle that is shifted 5 units to the left and 2 units down from the circle with the equation x^2+y^2=1
marysya [2.9K]
Shifting a circle results to changes in the coordinates of the circle. For instance, if the coordinates of the center of the circle is taken to be (0,0), the new coordinates will be [(0+5),(0+2)] after shifting. The equation of the circle will also change with the same margin.

That is, the new equation will be;
(5+x)^2+(2+y)^2 =19

Notice, only the coordinates changes.
6 0
3 years ago
A random sample of 20 recent weddings in a country yielded a mean wedding cost of $ 26,388.67. Assume that recent wedding costs
Makovka662 [10]

Answer:

a) 95% confidence interval for the mean​cost, μ​, of all recent weddings in this country = (22,550.95, 30,226.40)

.The​ 95% confidence interval is from $22,550.95 to $30,226.40.

b) For the interpretation of the result, option D is correct.

We can be​ 95% confident that the mean​ cost, μ​, of all recent weddings in this country is somewhere within the confidence interval.

c) Option B is correct.

The population mean may or may not lie in this​ interval, but we can be​ 95% confident that it does.

Step-by-step explanation:

Sample size = 20

Sample Mean = $26,388.67

Sample Standard deviation = $8200

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

Mathematically,

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

Sample Mean = 26,388.67

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 of the mean)

Critical value will be obtained using the t-distribution. This is because there is no information provided for the population mean and standard deviation.

To find the critical value from the t-tables, we first find the degree of freedom and the significance level.

Degree of freedom = df = n - 1 = 20 - 1 = 19.

Significance level for 95% confidence interval

(100% - 95%)/2 = 2.5% = 0.025

t (0.025, 19) = 2.086 (from the t-tables)

Standard error of the mean = σₓ = (σ/√n)

σ = standard deviation of the sample = 8200

n = sample size = 20

σₓ = (8200/√20) = 1833.6

99% Confidence Interval = (Sample mean) ± [(Critical value) × (standard Error of the mean)]

CI = 26,388.67 ± (2.093 × 1833.6)

CI = 26,388.67 ± 3,837.7248

99% CI = (22,550.9452, 30,226.3948)

99% Confidence interval = (22,550.95, 30,226.40)

a) 95% confidence interval for the mean​cost, μ​, of all recent weddings in this country = (22,550.95, 30,226.40)

.The​ 95% confidence interval is from $22,550.95 to $30,226.40.

b) The interpretation of the confidence interval obtained, just as explained above is that we can be​ 95% confident that the mean​ cost, μ​,of all recent weddings in this country is somewhere within the confidence interval

c) A further explanation would be that the population mean may or may not lie in this​ interval, but we can be​ 95% confident that it does.

Hope this Helps!!!

4 0
3 years ago
erry jogs the same round trip path everyday. He jogs 0.7 miles to the park and then 0.5 miles from the park to the playground. A
adelina 88 [10]

To solve this problem you must use the information given in the problem above:

1. You have that he jogs 0.7miles to the park and then 0.5miles to the playground, then he jogs 0.3 miles to the bridge and 0.9miles to his house.

2. Therefore, as you can see, Jerry completes his jog when he arrives to his house. So, he is 0miles from his house.

Then, the answer is: 0miles

4 0
3 years ago
Read 2 more answers
The Blue Ridge Parkway is 469 miles long. The parkway is a road that runs through 29 Virginia and North Carolina counties. Jenny
DedPeter [7]

Answer:

281/2/5 miles

Step-by-step explanation:

469/5 = 93.8

93.8x3 = 281.4

            = 281/2/5 miles

Please mark as Brainliest, thank you!

8 0
3 years ago
Calculate the residual based on the know information: Actual = 8.1 yds Predicted = 9.1 yds​
arlik [135]

Answer:

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7 0
2 years ago
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