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zysi [14]
3 years ago
7

Find the value of x

Mathematics
1 answer:
GuDViN [60]3 years ago
7 0

Answer:

x = 12

Step-by-step explanation:

The exterior angle is equal to the sum of the opposite interior angles

3x+19 + 5x = 115

Combine like terms

8x + 19 = 115

Subtract 19 from each side

8x+19 -19 = 115 -19

8x = 96

Divide each side by 8

8x/8 = 96/8

x =12

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baherus [9]

Answer:

1 x=15

2 x=3

3 x=3

These are the answers

3 0
3 years ago
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Sketch the curve y=x(x-2)^3 showing any stationary points and points of inflection
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3 years ago
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(CO6) From a random sample of 68 businesses, it is found that the mean time that employees spend on personal issues each week is
satela [25.4K]

Answer:

(1) (4.82, 4.98)

(2) Large sample size

(3) Yes, the temperature is within the confidence interval of (37.40, 37.60)

(4) (15.083, 15.117)

Step-by-step explanation:

Confidence Interval (CI) = mean + or - (t×sd)/√n

(1) mean = 4.9, sd = 0.35, n = 68, degree of freedom = n-1 = 68 - 1 = 67

t-value corresponding to 67 degrees of freedom and 95% confidence level is 1.9958

CI = 4.9 + (1.9958×0.35)/√68 = 4.98

CI = 4.9 - (1.9958×0.35)/√68 = 4.82

CI is (4.82, 4.98)

(2) Error margin = (t-value × standard deviation)/√sample size

From the formula above, error margin varies inversely as the square root of the sample size. Since the relationship between the error margin and sample size is inverse, increase in one (sample size) will conversely lead to a decrease in the other (error margin)

(3) mean = 37.5, sd = 0.6, n= 100, degree of freedom = n-1 = 100-1 = 99

t-value corresponding to 99 degrees of freedom and 90% confidence level is 1.6602

CI = 37.5 + (1.6602×0.6)/√100 = 37.5 + 0.10 = 37.60

CI = 37.5 - (1.6602×0.6)/√100 = 37.5 - 0.10 = 37.40

37.53 is within the confidence interval (37.40, 37.60)

(4) mean = 15.10, sd =0.08, n = 104, degree of freedom = n-1 = 104-1 = 103

t-value corresponding to 103 degrees of freedom and 97% confidence interval is 2.2006

CI = 15.10 + (2.2006×0.08)/√104 = 15.10 + 0.017 = 15.117

CI = 15.10 - (2.2006×0.08)/√104 = 15.10 - 0.017 = 15.083

CI is (15.083, 15.117)

4 0
3 years ago
A study claims that the combination of vitamin C with vitamin E is more effective for preventing the flu than vitamin C alone. I
victus00 [196]

1) In this study, the control group is the first group of 310 subjects that were instructed to take only 600 mg daily of vitamin C. (Option C; that is, group 1).

2) The study is not Blind (Option C).

In an experimental setup to test a theory, A control group is the set of experimental participants that the theory to be tested isn't applied upon.

In the case of testing a new treatment, the control group is the group that the new treatment isn't administered.

For this question, the experiment was set up to test the effectiveness of a combination of vitamin A and vitamin E in treating flu cases rather than using vitamin C alone. Group A is the only group that only the old treatment alone is applied to; group 1 participants received no dosage of the new combination of treatments to be tested involving vitamins A and E, unlike the two other groups.

It is obvious now why the experimental participants of group 1 are the control group.

2) A blind experiment/study is one in which the participants don't know which group they belong to, whether they are in the control group or the other experimental group. Like in this case, if this was a blind study, the participants wouldn't know which group they belonged to or which treatment is administered to them.

A double-blind experiment/study is one in which both the conductors of the experiment and the participants in the experiment wouldn't know which group any participant is in. The conductors wouldn't know which participants were in the control or treatment group and the participants too wouldn't have an idea whether they are in the control or treatment group.

To learn more about the vitamin visit: brainly.com/question/24324739

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3 0
1 year ago
What is the answer and how to you solve it as easy as possible​
Gnom [1K]

Answer:

A = 504inch

Step-by-step explanation:

Formula = A = 2(wl + hl + hw)

or A = 2wl + 2lh + 2hw, where w is the width, the l is the length, and the h is the height.

2wl = 6inch × 12inch = 72inch × 2 = 144inch

2lh = 12inch × 10inch = 120inch × 2 = 240inch

2hw = 10inch × 6inch = 60inch × 2 = 120inch

Then add all

144inch + 240inch + 120inch = 504inch

A = 504inch

7 0
3 years ago
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