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kiruha [24]
2 years ago
13

Compare the two linear functions. A 2-column table with 5 rows. Column 1 is labeled x with entries negative 3, negative 1, 2, 5,

10. Column 2 is labeled y with entries 8.5, 5.5, 1, negative 3.5, negative 11. On a coordinate plane, a line goes through points (negative 3, 0) and (2, 0). Identify the slope of the line given in the table: Identify the slope of the line given in the graph: Which linear function has a negative slope? Which linear function has the steeper slope?
Mathematics
2 answers:
nataly862011 [7]2 years ago
9 0

Answer:

the correct answers are

Identify the slope of the line given in the table:

✔ -3/2

Identify the slope of the line given in the graph:

✔ 2/3

Which linear function has a negative slope?

✔ Table

Which linear function has the steeper slope?

✔ Table

labwork [276]2 years ago
3 0

Answer:

Step-by-step explanation:

the table :

(-3,8.5) .....x1 = -3 and y1 = 8.5

(-1,5.5) ....x2 = -1 and y2 = 5.5

slope = (y2 - y1) / (x2 - x1) = (5.5 - 8.5) / (-1 - (-3) = - 3 / (-1 + 3) = -3/2

coordinate plane :

(-3,0), (2,0)

notice how u have the same y values of 0....this means u have a horizontal line where no matter what x is, y will always be 0. A horizontal line has a slope of 0. And ur y intercept is (0,0)

the linear function that is in the table contains a negative slope and also has a steeper slope then the one on the coordinate plane <===

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Ahat [919]

Answer:

z=\frac{0.21 -0.15}{\sqrt{\frac{0.15(1-0.15)}{100}}}=1.68  

Step-by-step explanation:

Information provided

n=100 represent the random sample taken

X=21 represent the number of bags overfilled

\hat p=\frac{21}{100}=0.21 estimated proportion of overfilled bags

p_o=0.15 is the value that we want to test

z would represent the statistic

Hypothesis

We need to conduct a hypothesis in order to test if the true proportion of overfilled bags is higher than 0.15.:  

Null hypothesis:p =0.7  

Alternative hypothesis:p > 0.15  

The statistic for this case is:

z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}} (1)  

And replacing the info given we got:

z=\frac{0.21 -0.15}{\sqrt{\frac{0.15(1-0.15)}{100}}}=1.68  

5 0
2 years ago
Jeanne wants to start collecting coins and orders a coin collection starter kit. The kit comes with three coins chosen at random
lesya692 [45]
Conditional probability is a measure of the probability of an event given that another event has occurred. If the event of interest is A and the event B is known or assumed to have occurred, "the conditional probability of A given B", or "the probability of A under the condition B", is usually written as P(A|B), or sometimes P_B(A).

The conditional probability of event A happening, given that event B has happened, written as P(A|B) is given by
P(A|B)= \frac{P(A \cap B)}{P(B)}

In the question, we were told that there are three randomly selected coins which can be a nickel, a dime or a quarter.

The probability of selecting one coin is \frac{1}{3}

Part A:
To find <span>the probability that all three coins are quarters if the first two envelopes Jeanne opens each contain a quarter, let the event that all three coins are quarters be A and the event that the first two envelopes Jeanne opens each contain a quarter be B.

P(A) means that the first envelope contains a quarter AND the second envelope contains a quarter AND the third envelope contains a quarter.

Thus P(A)= \frac{1}{3} \times \frac{1}{3} \times \frac{1}{3} = \frac{1}{27}

</span><span>P(B) means that the first envelope contains a quarter AND the second envelope contains a quarter

</span><span>Thus P(B)= \frac{1}{3} \times \frac{1}{3} = \frac{1}{9}

Therefore, P(A|B)=\left( \frac{ \frac{1}{27} }{ \frac{1}{9} } \right)= \frac{1}{3}


Part B:
</span>To find the probability that all three coins are different if the first envelope Jeanne opens contains a dime<span>, let the event that all three coins are different be C and the event that the first envelope Jeanne opens contains a dime be D.
</span><span>
P(C)= \frac{3}{3} \times \frac{2}{3} \times \frac{1}{3} = \frac{6}{27} = \frac{2}{9}

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Therefore, P(C|D)=\left( \frac{ \frac{2}{9} }{ \frac{1}{3} } \right)= \frac{2}{3}</span>
3 0
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Answer:

5.8 , which approximately is 6 weeks.

Step-by-step explanation:

the first method is the short one since u just have to double the 85 then divide to 1000.

1000 ÷ ( 85 × 2)

1000 ÷ 170 = 5.882,,,,,. round off to whole number to get 6.

the second method is the addition method.

we start by 85 then keep doubling 85 for every week........inshort.......we add 170 to each weeks number to get the number of followers for the following week.

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u notice that we add (85×2), 170, to get the following week's number of followers..

in 5 weeks..... the number of followers is yet to get to 1000.

when u divide, u get 5.8.....,and it is not logic to say 5.8823....weeks

since she reaches 1000 followers in the 6th week.......though there is an addition,,,, it is the most appropriate answer.

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Answer:

58

Step-by-step explanation:


6 0
2 years ago
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