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
Arte-miy333 [17]
3 years ago
5

help please!! Mark the following triangles so that they are congruent by the Side-Side-Side Postulate

Mathematics
1 answer:
Ivenika [448]3 years ago
7 0

Hi!

If you want to show these are congruent, you make a single line through each of the sides. Just do this for both of the triangles.

See the screenshot for example

Hope this helps! :0)

You might be interested in
5c + 3 ≥ 6x -8<br><br> Solve the following inequality for cc. Write your answer in simplest form.
irina [24]

Answer:

c≥2(x-2) ÷ 5

Step-by-step explanation:

5c+3≥6x-8

5c ≥6x-8-3

5c≥6x-12

c≥(6x-12) ÷ 5

c≥ 2(x-2) ÷5

3 0
2 years ago
Are the two triangles below .similar?
kozerog [31]
Yes, because both of them have a 70 degree angle on T and W 
8 0
3 years ago
Let X represent the amount of gasoline (gallons) purchased by a randomly selected customer at a gas station. Suppose that the me
Alexus [3.1K]

Answer:

a) 18.94% probability that the sample mean amount purchased is at least 12 gallons

b) 81.06% probability that the total amount of gasoline purchased is at most 600 gallons.

c) The approximate value of the 95th percentile for the total amount purchased by 50 randomly selected customers is 621.5 gallons.

Step-by-step explanation:

To solve this question, we use the normal probability distribution and the central limit theorem.

Normal probability distribution

Problems of normally distributed samples are solved using 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 sums, we can apply the theorem, with mean \mu and standard deviation s = \sqrt{n}*\sigma

In this problem, we have that:

\mu = 11.5, \sigma = 4

a. In a sample of 50 randomly selected customers, what is the approximate probability that the sample mean amount purchased is at least 12 gallons?

Here we have n = 50, s = \frac{4}{\sqrt{50}} = 0.5657

This probability is 1 subtracted by the pvalue of Z when X = 12.

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

By the Central Limit theorem

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

Z = \frac{12 - 11.5}{0.5657}

Z = 0.88

Z = 0.88 has a pvalue of 0.8106.

1 - 0.8106 = 0.1894

18.94% probability that the sample mean amount purchased is at least 12 gallons

b. In a sample of 50 randomly selected customers, what is the approximate probability that the total amount of gasoline purchased is at most 600 gallons.

For sums, so mu = 50*11.5 = 575, s = \sqrt{50}*4 = 28.28

This probability is the pvalue of Z when X = 600. So

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

Z = \frac{600 - 575}{28.28}

Z = 0.88

Z = 0.88 has a pvalue of 0.8106.

81.06% probability that the total amount of gasoline purchased is at most 600 gallons.

c. What is the approximate value of the 95th percentile for the total amount purchased by 50 randomly selected customers.

This is X when Z has a pvalue of 0.95. So it is X when Z = 1.645.

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

1.645 = \frac{X- 575}{28.28}

X - 575 = 28.28*1.645

X = 621.5

The approximate value of the 95th percentile for the total amount purchased by 50 randomly selected customers is 621.5 gallons.

5 0
3 years ago
If p --&gt; q is true and q is true, then p is ____ true
ra1l [238]

Answer:

3

Step-by-step explanation:

c. never.

8 0
2 years ago
Express the following in word form 11.03
garik1379 [7]

Answer:

eleven and three hundredths.

Step-by-step explanation:

4 0
3 years ago
Other questions:
  • You are competing in a race. The table shows the times from last year's race you want your time to be last year's median time wi
    10·1 answer
  • A line passes through the points (−1, −2) and (−2, −6) .
    7·1 answer
  • In 2018, the population will grow over 700,000.The population of a city in 2010 was 450,000 and was growing at a rate of 5% per
    7·1 answer
  • Hailey bought 3 pounds of apples for $7.70. How much did she pay per pound?
    9·2 answers
  • O is the centre of the circle and ABC and EDC are tangents to the circle
    7·1 answer
  • Please Help Will Give Lots of Points!
    12·2 answers
  • Write a function that transforms in the following way vertical stretch by a factor of six and ships four units left and four uni
    15·1 answer
  • 2. Identify the variables that are contained in the expression.<br> 2m2 + 3mn + 4p
    11·1 answer
  • Bill is making accessories for the soccer team. He uses 611.66 inches of fabric on headbands for 31 players and 3 coaches. He al
    9·1 answer
  • Help help help help help
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!