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3 years ago

What is the direct variation equation if y varies directly with x and y = –9 when x = –45?

1 answer:

7 0

Direct variation equation is y = kx ; k is the constant of variation.

y = -9
x = -45

-9 = k(-45)
-9/-45 = k
1/5 = k

y = 1/5x CHOICE A.

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PLSSS HELPPP A football quarterback goes for a two-point conversion when the ball is within 10 yards of the end zone. During the

Evgen [1.6K]

Answer:

The probability of missing both two-point conversion attempts is 7.5%

Step-by-step explanation:

We are informed that the probability of missing the first attempt is 50% of the time. Furthermore, the probability of missing on the second attempt given that he missed the first attempt is 15% of the time

Now,the probability of missing on both the two-point conversion attempts will simply be given by the product of these two probabilities since the events are independent;

50%*15% = 0.5 * 0.15 = 7.5%

Therefore, the probability of missing both two-point conversion attempts is 7.5%

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3 years ago

given the equations 9x + (3)/(4)y + 6 and 2x + (1)/(2)y=9 by what factor would you multiply the sencond equation to eliminate y

Paul [167]

Answer:

-3/2

Step-by-step explanation:

If the first equation is 9x +3/4y = 6, then the solution would look like this:

$\left(9x+\dfrac{3}{4}y\right)-\dfrac{3}{2}\left(2x+\dfrac{1}{2}y\right)=(6)-\dfrac{3}{2}(9)\\\\6x=-\dfrac{15}{2}\\\\x=-\dfrac{15}{12}=-\dfrac{5}{4}\\\\2\left(-\dfrac{5}{4}\right)+\dfrac{1}{2}y=9\ \longrightarrow\ y=2\left(9+\dfrac{5}{2}\right)=23$

An appropriate multiplier is -3/2.

4 0

4 years ago

What number increased by 15% equal 161

kkurt [141]

Answer:

100%+15% = 115%

proportionally:

x - 100%

161 - 115%

x = (161 * 100%) / 115% = 140

4 0

4 years ago

Read 2 more answers

In each of the following data sets, tell whether the outlier seems certain to be due to an error or whether it could conceivably

emmasim [6.3K]

Answer:

a) There is outlier (lower category), but this outlier seem certain to be due to an error.

b) There is outlier (upper category), this outlier seem certain to be conceivably correct.

Step-by-step explanation:

a) The outlier in the rock weight is certain to be due to an error. As shown, the rock was weighed five time to ascertain the actual weight or perhaps to known the mean weight. <em>Thus, having a value 4.91 can not be true. It can only be due to an error of recording the values.</em> It suppose to be recorded as 49.1.

b) Since this was a sample of annual income of five different families, it quite possible that a particular family annual income is $1, 200, 000. Hence, we cannot regard this outlier an error, rather conceivably true.

See attached for the box plot of the two data sets.

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3 years ago

2 triangles are shown. The first triangle has side lengths 35, 20, and 20. The second triangle has side lengths x, 44, 44.

Ad libitum [116K]

The value of x is 77 cm which will make the triangles similar by SSS similarity theorem

Given length of the three sides of one triangle are 35 , 20 and 20

and length of the three sides of another triangle are x, 44,44

We need to find the values of x by using SSS Similarity theorem

We know that triangles are are similar by side - side - side similarity creation and hence the sides are in the same ratio

As both the triangles are isosceles triangles

Therefore ,

x/35 = 44/20=44/20 (Using ratio)

Solving the equation we get

x=44*35/20

x= 77

Hence the value of x is 77cm

Learn more about similarity of triangles here brainly.com/question/14285697

#SPJ10

8 0

2 years ago