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
Monica [59]
3 years ago
6

Find the highest common factor of 35 and 8C.

Mathematics
1 answer:
Kaylis [27]3 years ago
7 0

Answer:

Factors of 35 = 1, 5, 7 and 35

Factors of 8= 1, 2, 4, 8.

common = 1

You might be interested in
The mass of 5 m' of copper is 44 800 kg. Work out<br> the density of copper.
solniwko [45]
Here bro this should help

8 0
3 years ago
Dominic puts his cars in 6 rows with 5 in each row. His sister changes them into 3 rows with the same number in each row. How ma
miv72 [106K]
10 cars in each row

5 cars x 6 rows = 30

30 divided by 3 = 10 cars in each row
8 0
3 years ago
Majesty Video Production Inc. wants the mean length of its advertisements to be 26 seconds. Assume the distribution of ad length
Paladinen [302]

Answer:

a) By the Central Limit Theorem, approximately normally distributed, with mean 26 and standard error 0.44.

b) s = 0.44

c) 0.84% of the sample means will be greater than 27.05 seconds

d) 98.46% of the sample means will be greater than 25.05 seconds

e) 97.62% of the sample means will be greater than 25.05 but less than 27.05 seconds

Step-by-step explanation:

To solve this question, we need to understand 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(also called standard error) 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.

In this problem, we have that:

\mu = 26, \sigma = 2, n = 21, s = \frac{2}{\sqrt{21}} = 0.44

a. What can we say about the shape of the distribution of the sample mean time?

By the Central Limit Theorem, approximately normally distributed, with mean 26 and standard error 0.44.

b. What is the standard error of the mean time? (Round your answer to 2 decimal places)

s = \frac{2}{\sqrt{21}} = 0.44

c. What percent of the sample means will be greater than 27.05 seconds?

This is 1 subtracted by the pvalue of Z when X = 27.05. So

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

By the Central Limit Theorem

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

Z = \frac{27.05 - 26}{0.44}

Z = 2.39

Z = 2.39 has a pvalue of 0.9916

1 - 0.9916 = 0.0084

0.84% of the sample means will be greater than 27.05 seconds

d. What percent of the sample means will be greater than 25.05 seconds?

This is 1 subtracted by the pvalue of Z when X = 25.05. So

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

Z = \frac{25.05 - 26}{0.44}

Z = -2.16

Z = -2.16 has a pvalue of 0.0154

1 - 0.0154 = 0.9846

98.46% of the sample means will be greater than 25.05 seconds

e. What percent of the sample means will be greater than 25.05 but less than 27.05 seconds?"

This is the pvalue of Z when X = 27.05 subtracted by the pvalue of Z when X = 25.05.

X = 27.05

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

Z = \frac{27.05 - 26}{0.44}

Z = 2.39

Z = 2.39 has a pvalue of 0.9916

X = 25.05

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

Z = \frac{25.05 - 26}{0.44}

Z = -2.16

Z = -2.16 has a pvalue of 0.0154

0.9916 - 0.0154 = 0.9762

97.62% of the sample means will be greater than 25.05 but less than 27.05 seconds

8 0
3 years ago
Given the three functions: f(x) = 60x + 20; g(x)=3(2)^ + and h(x) = 4x ^ 2 + 10x 5. Label each function as quadratic , linear, o
Butoxors [25]

Answer:

Number one is Linear, Number two is Exponential, and Number three is quadratic

Step-by-step explanation:

8 0
3 years ago
What is the constant term for -2a3b2+5ab5+7b4+8
stiv31 [10]

Hey there!

<u>Constant terms</u> are the terms where no variables are there (only the constant, i.e, the number). So, here the term <em><u>8</u></em><em><u> </u></em><em><u> </u></em>is the constant term because it doesn't have any variables.

Hope it helps ya!

8 0
3 years ago
Other questions:
  • Compare partial products and regrouping how the methods are alike and different
    7·2 answers
  • Can anyone help me solve these please
    6·1 answer
  • Explain how to find 4x80
    14·2 answers
  • What is 1.5kg :350 g ​
    5·2 answers
  • Find the value of (–3⁄8) × (+8⁄15).
    5·1 answer
  • 2 gal 1 qt - 2 qt 1 pt
    5·2 answers
  • What is the cube root of 512
    10·2 answers
  • CAN SOMEONE PLEASE HELP ME ?WITH THE QUESTION I JUST POSTED
    13·1 answer
  • What is 205÷5 please help!​
    7·1 answer
  • Write the equation of the line
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!