What is the equation of the graphed line written in

What is the slope of the line represented by the equation y = y equals 4 Over 5

OLEGan [10]

$\bf y= \stackrel{\stackrel{m}{\downarrow }}{\cfrac{4}{5}}x-3\qquad \impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}$

4 0

2 years ago

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What is the sum of the first five terms of the geometric sequence in which a1=10 and r=1/2?

Tomtit [17]

(10(1-(1/2)^5)/1-(1/2) =

20(1-1/32)
=155/8

5 0

3 years ago

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Write 90 as a product of prime factors in expanded form.

NISA [10]

Given :

The number is given as 90.

Explanation :

To find the product of prime factors in expanded form

$90=2\times3\times3\times5$

Answer :

Hence the answer is

$90=2\times3\times3\times5$

5 0

1 year ago

A researcher asks random samples of residents of two separate counties as to whether they had purchased organically grown food i

Leni [432]

Answer:

2 proportions z test

The two populations are named as residents from the first county and residents from the second county.

Step-by-step explanation:

This is testing hypothesis about the difference between two proportions.

When the proportions are tested if they are the test statistic

z= ( p^1-p^2)- (p1-p2) / √p₁q₁/n₁ + p₂q₂/ n₂

where p^1 is the proportion of success in the first sample and p^2 of size n₁ is the proportion of success in the second sample of size n₂ with unknown proportions of successes p1 and p2 respectively.

When the sample sizes are sufficiently large

z= ( p^1-p^2)- (p1-p2) / √p₁q₁/n₁ + p₂q₂/ n₂ is approximately standard normal.

The two populations are named as residents from the first county and residents from the second county.

7 0

2 years ago

A bag contains tiles number 1-10. What is the probability of first selecting a PRIME number, replacing it, then selecting a numb

andrezito [222]

Answer:

0.12 = 12% probability of first selecting a PRIME number, replacing it, then selecting a number less than or equal to 3

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

Probability of independent events:

Suppose we have two events, A and B, that are independent. The probability of both happening is given by:

$P(A \cap B) = P(A) \times P(B)$

In this question:

Event A: Selecting a prime number.

Event B: Selecting a number less than or equal to 3

Probability of selecting a prime number:

Between 1 and 10, we have 4 prime numbers(2,3, 5 and 7), out of 10. So

$P(A) = \frac{4}{10}$

Probability of selecting a number less than or equal to 3:

Three numbers(1,2,3) out of 10. So

$P(B) = \frac{3}{10}$

Probability of both:

$P(A \cap B) = P(A) \times P(B) = \frac{4}{10} \times \frac{3}{10} = \frac{12}{100} = 0.12$

0.12 = 12% probability of first selecting a PRIME number, replacing it, then selecting a number less than or equal to 3

5 0

2 years ago