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sattari [20]
3 years ago
10

Find the values of x and y. 58° X = and y=

Mathematics
1 answer:
artcher [175]3 years ago
5 0

Answer:

x=16°

y=45°

Step-by-step explanation:

Download pdf
You might be interested in
Clea eats ten Hershey kisses every 2 weeks, gives a Hershey bar to her sister every 3 weeks, and visit Hershey store every 6 wee
tatuchka [14]

Answer:

30

Step-by-step explanation:

We can find the lcm of 2 3 and 6, which is 30

30/2=15

30/3=10

30/6=5

so, it works!

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
Identify the independent and dependent variables. Write a function in function notation. Then use the function to solve the prob
bekas [8.4K]

Answer:

He is being paid $180 on Monday.

Step-by-step explanation:

Since it asks for function notation, I'll relate the variables accordingly. So, x, the independent variable, is the one that is being adjusted. That would be the amount of miles that he is assigned so x = miles assigned. Next, the dependent variable, f(x), is the amount of cash he is paid, so f(x) = total amount paid.

Here is the function that can be used to represent the situation:

f(x) = 3.50x + 75

Now, plug in 30 to find out how much he earns after completing a 30 mile route:

f(30) = 3.50(30) + 75

f(30) = 105 + 75

f(30) = 180

Also, the $75 is a fixed amount. No variable association.

7 0
1 year ago
The pH can be calculated using the equation pH = –log(H+), where H+ is the hydronium ion concentration. Find the hydronium ion c
vitfil [10]

Answer:

Step-by-step explanationp :

ph =lo 4

3 0
2 years ago
5 4/8 + 1 3/8 =<br> 1. 33/8<br> 2. 55/8<br> 3. 6 7/16
Dovator [93]

Answer: 2. 55/8

Step-by-step explanation: Add the whole numbers first (5+1 = 6), then add the fractions (4/8 + 3/8 = 7/8). Now we have 6 7/8 and since they want the answer in fraction form we will multiply the 6 and the 8 (6x8=48) and then add the 7 to the 48 (7+48 =55) and we leave our answer over the denominator which is 8. This leaves us with the final answer of 55/8

4 0
1 year ago
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