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2 years ago

Find the greatest common factor of the monomial 46x^5 10x^3

Mathematics

1 answer:

Whitepunk [10]2 years ago

3 0

2x^3

2 can fit into 10 and 46
and you can take 3 out of 3 and 5

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A soft drink manufacturer wishes to know how many soft drinks adults drink each week. They want to construct a 85% confidence in

andreev551 [17]

Answer: 547

Step-by-step explanation: The margin of error formulae is given below as

Margin of error = critical value ×(σ/√n)

Where σ = standard deviation and n is the sample size.

From our question, margin of error = 0.08

Variance is 1.691,

hence σ = √variance = √1.691

= 1.3.

We will be using a z test for our critical value this is because a soft drink manufacturer will always produce drinks more than 30 in numbers.

The critical value for a 85% confidence interval is 1.44.

Hence critical value is 1.44.

By substituting the parameters, we have that

0.08 = 1.44 × 1.3/ √n

0.08 = 1.873/ √n

By cross multiplying

0.08 × √n = 1.873

√n = 1.873/ 0.08

√n = 23.41

n = (23.41)²

n = 547.

7 0

2 years ago

A. Create an algebraic expression.

NikAS [45]

Answer:

Step-by-step explanation:

5x = 30

If there are 5 students in a row, find the number of rows given that the number of total students is 30.

Here 'x' represents the number of row

7 0

2 years ago

Read 2 more answers

The children in my subdivision were bored one summer and decided to hold a competition to see who could run to the end of the st

Ainat [17]

Answer:

6.7% of children who finished the race in under 45 seconds.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 75 seconds

Standard Deviation, σ = 20 seconds

We are given that the distribution of time of completion is a bell shaped distribution that is a normal distribution.

Formula:

$z_{score} = \displaystyle\frac{x-\mu}{\sigma}$

P(finished the race in under 45 seconds.)

P(x < 45)

$P( x < 45) = P( z < \displaystyle\frac{45 - 75}{20}) = P(z < -1.5)$

Calculation the value from standard normal z table, we have,

$P(x < 45) = 0.067 = 6.7\%$

6.7% of children who finished the race in under 45 seconds.

4 0

2 years ago

Subtracting with zeroes

nexus9112 [7]

The number would stay the same because, for example, 6 - 0 can't be 0 so it would be 6.

6 0

2 years ago

For online courses, like those in eCore, there is a positive correlation between the amount of time spent in the course and the

Troyanec [42]

Answer:

Regression Line is given by,

y = 22.909 + 0.209 x

The course grade of a student in the course who spent an average of 103 minutes in the course each week is: 22.909 + 0.209 × 103 = 44.436

Step-by-step explanation:

The equation of Regression equation is of the form of:

y = a + bx

where, a is intercept and b is slope

The formula for a and b is given by,

$a=\frac{\sum Y \sum X^2-\sum X \sum XY}{n\sum X^2-(\sum X)^2}\\ and, b = \frac{n\sum XY -\sum X \sum Y}{n\sum X^2-(\sum X)^2}$

Here, ∑X = 1149.8, ∑Y = 377.2, ∑XY = 93115.95, ∑X² = 320246.72

Thus, a = 22.909

and b = 0.209

Thus, Regression Line is given by,

y = 22.909 + 0.209 x

Thus, The course grade of a student in the course who spent an average of 103 minutes in the course each week is: 22.909 + 0.209 × 103 = 44.436

Now plotting these line:

6 0

2 years ago