1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
castortr0y [4]
3 years ago
8

What is the value of x?

Mathematics
2 answers:
mote1985 [20]3 years ago
7 0

Answer:

Download photoath it really helps

8090 [49]3 years ago
3 0

Answer:

62 degrees

Step-by-step explanation:

X and 28 degrees are on a 90 degree corner, 28 degrees needs to be subtracted from 90 degrees to get the value of x so, 90 - 28 = 62 degrees

You might be interested in
A Government company claims that an average light bulb lasts 270 days. A researcher randomly selects 18 bulbs for testing. The s
Fofino [41]

Answer:

31.92% probability that 18 randomly selected bulbs would have an average life of no more than 260 days

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal probability distribution

When the distribution is normal, we use the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean \mu and standard deviation \sigma, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}.

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean \mu = p and standard deviation s = \sqrt{\frac{p(1-p)}{n}}

In this question, we have that:

\mu = 270, \sigma = 90, n = 18, s = \frac{90}{\sqrt{18}} = 21.2

What is the probability that 18 randomly selected bulbs would have an average life of no more than 260 days?

This is the pvalue of Z when X = 260. So

Z = \frac{X - \mu}{\sigma}

By the Central Limit Theorem

Z = \frac{X - \mu}{s}

Z = \frac{260 - 270}{21.2}

Z = -0.47

Z = -0.47 has a pvalue of 0.3192.

31.92% probability that 18 randomly selected bulbs would have an average life of no more than 260 days

5 0
3 years ago
Identify the slope of the following equation . 5x+6y=4​
vekshin1

Answer:

The slope is 5/6

7 0
3 years ago
Read 2 more answers
g Nationwide, a certain disease occurs only a small proportion of people (.000215). A certain town has 74,000 residents. Use the
Andrei [34K]

Answer:

The probability that the town has 30 or fewer residents with the illness = 0.00052.

Step-by-step explanation:

So, we have the following set of data or information or parameters given from the question above and they are; the number of people living in that particular society/community/town = 74,000 residents and the proportion of people that the diseases affected = .000215.

The first step to do is to determine the expected number of people with disease. Thus, the expected number of people with disease = 74,000 × .000215 = 15.91.

Hence, the probability that the town has 30 or fewer residents with the illness = 1.23 × 10^-7 × 15.91^30/ 2.65253 × 10^-32 = 0.00052.

Note the formula used in the calculating the probability that the town has 30 or fewer residents with the illness =  e^-λ × λ^x/ x!

8 0
3 years ago
A random sample of 49 statistics examinations was taken. the average score, in the sample, was 84 with a variance of 12.25. the
tester [92]

Since in this case we are only using the variance of the sample and not the variance of the real population, therefore we use the t statistic. The formula for the confidence interval is:

<span>CI = X ± t * s / sqrt(n)                      ---> 1</span>

Where,

X = the sample mean = 84

t = the t score which is obtained in the standard distribution tables at 95% confidence level

s = sample variance = 12.25

n = number of samples = 49

From the table at 95% confidence interval and degrees of freedom of 48 (DOF = n -1), the value of t is around:

t = 1.68

 

Therefore substituting the given values to equation 1:

CI = 84 ± 1.68 * 12.25 / sqrt(49)

CI = 84 ± 2.94

CI = 81.06, 86.94

 

<span>Therefore at 95% confidence level, the scores is from 81 to 87.</span>

6 0
3 years ago
What is the mathematical expression for the sum of 2 times 2 and 5 times 6
expeople1 [14]
2x2=4, 5x6=30
Not sure if they’re one expression, of so it’s (2x2)+(5x6)=34
7 0
3 years ago
Other questions:
  • A Genesse High School, the Sophomore class has 60 more students than the Freshmen class. The junior class has 50 fewer students
    7·1 answer
  • Simplify x<br><img src="https://tex.z-dn.net/?f=%20%7Bx%7D%5E%7B2%7D%20%20%2B%206x%20-%2012" id="TexFormula1" title=" {x}^{2} +
    10·1 answer
  • lected Respons to atoom oeupa A store decreases the price of an item from $120 to $96. What is the percent decrease?
    5·1 answer
  • A plane flies due south for 600 miles. It turns and flies 250 miles , 35 degrees east of south. How far is the plane from it’s o
    11·1 answer
  • The number of pages read by joy depends on the number of hours she spends reading a novel. The expression that represent the abo
    12·1 answer
  • The simple interest rate in a payment plan is 12%, and the principal amount borrowed is $10,000. Which function
    15·1 answer
  • Regular quadrilateral pyramid with base edge b=55mm and lateral edge l=7 cm. Find the sum of all edges
    5·1 answer
  • Lin’s bike travels 100 meters when her wheels rotate 55 times. What is the circumference of her wheels?
    6·1 answer
  • Assume you’ve arrived at this solution: (4x^2 + 8x + 15) + (x^2 − x − 27) − (x^2 − 2x − 35) Going from left to right, what will
    12·1 answer
  • Use the method of your choice to solve the following system of equations. Write your solution as a coordinate.
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!