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kogti [31]
3 years ago
14

use your knowledge of angle relationships solve for x in the diagram below Justify Your solution by naming the geometric relatio

nship ​

Mathematics
1 answer:
SSSSS [86.1K]3 years ago
5 0

Answer:

x = 5°

Step-by-step explanation:

5x + 21° + 20x + 34° = 180°

25x + 55° = 180°

25x = 180° - 55°

25x = 125°

x = 125°/25

x = 5°

Hope you got it dear !!!!

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Suppose a sample of 100 families of four vacationing at Niagara Falls resulted in sample mean of $282.45 spent per day and a sam
Juli2301 [7.4K]

Given Information:

Mean = μ = $282.45

Standard deviation = σ = $64.50

Sample size = n = 100

Confidence level = 95%

Required Information:  

95% Confidence interval = ?

Answer:

95% Confidence interval = ($269.81, $295.09)

Step-by-step explanation:

We are given a Normal Distribution, which is a continuous probability distribution and is symmetrical around the mean. The shape of this distribution is like a bell curve and most of the data is clustered around the mean. The area under this bell shaped curve represents the probability.

What is Confidence Interval?

The confidence interval represents an interval that we can guarantee that the target variable will be within this interval for a given confidence level.  

The confidence interval is given by

CI = \bar{x} \pm MoE\\

Where \bar{x} is the mean and MoE is the margin of error given by

MoE = z_{\alpha/2}(\frac{\sigma}{\sqrt{n} } ) \\

Where σ is the standard deviation, n is the sample size and z_{\alpha/2} is the z-score corresponding to 95% confidence level.

z_{\alpha/2} = 1 - 0.95 = 0.05/2 = 0.025\\\\z_{0.025} = 1.96

MoE = 1.96\cdot \frac{64.50}{\sqrt{100} } \\\\MoE = 1.96\cdot 6.45\\\\MoE = 12.64\\

Finally, the confidence interval is

CI = \bar{x} \pm MoE\\\\CI = 282.45 \pm 12.64\\\\CI = 282.45 - 12.64 \: and \: 282.45 + 12.64\\\\CI = \$269.81 \: and \:\:\$295.09\\

Therefore, we are 95% sure that the true population mean amount spent per day by a family of four visiting Niagara Falls is within the interval of ($269.81, $295.09)

3 0
3 years ago
A delivery truck weighs 5.5 tons before it is loaded with packages. Once the delivery truck is full of x packages it weighs 6.1
KIM [24]

Answer:

80 packages

Step-by-step explanation:

0.0075*80= 0.6            5.5 + 0.6= 6.1

4 0
2 years ago
The basketball team spends 20 minutes running laps and at least 15 minutes discussing plays. Practice lasts one hour and 45 minu
Allushta [10]

Answer:

x ≤ 75

Step-by-step explanation:

The computation of the inequality function is as follows:

Let us assume the remaining time left for other drills be x

Given that the team spends 20 minutes for running laps

And minimum of 15 minutes for discussing plays

Also practicing for last one hour and 45 minutes

Now as we know that

1 hour = 60 minutes

So total minutes would be

= 60 + 45

= 105 minutes

Total minutes spend by the team is

= 20 + 15

= 35 minutes

So now the remaining time left is

x ≤ 105 - 35

x ≤ 75

8 0
3 years ago
What is the length of AC?
miss Akunina [59]

Answer:

b 3 feet is correct just tooktest

Step-by-step explanation:

4 0
3 years ago
PLZ HELP ME I HAVE 3 MORE MINUTES
Svetradugi [14.3K]

Answer:

3

Step-by-step explanation:

(6 + 2 x 6)/(15 - 11 + 2)

(6 + 12)/(4 + 2)

18/6

3

8 0
3 years ago
Read 2 more answers
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