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3 years ago

8

Which of the following shows 7 + (x + 4y) rewritten using the Associative Property of Addition? Select one: a. 7 + x + 4y b. 7x

+ (4 + y) c. (7 + x) + 4y d. x + (7 + 4y)

1 answer:

ipn [44]3 years ago

6 0

I'm pretty sure it's A. 7+x+4y, but I could be wrong.

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PLZ HELP ASAP AREA OF A SECTOR

const2013 [10]

The fraction of a circle represented by the shaded region is:
S '/ S = ((8/5) * pi * r) / (2 * pi * r)
Rewriting we have:
S '/ S = ((8/5)) / (2)
S '/ S = 8/10
S '/ S = 4/5
Then, we can make the following rule of three:
(64/5) pi -------> 4/5
x ----------------> 1
Clearing x we have:
x = ((1) / (4/5)) * ((64/5) pi)
Rewriting:
x = (5/4) * ((64/5) pi)
x = (5/4) * ((64/5) pi)
x = 50.24
Answer:
The area of the complete circle is:
x = 50.24

4 0

3 years ago

The level of a lake in inches is falling linearly . The lake level is 452 inches on Jan 1 and then 378 inches on Jan 21. Find a

Marysya12 [62]

Answer:

$y=-\frac{74}{21}x+452$

Step-by-step explanation:

Given:

The level of a lake is falling linearly.

On Jan 1, the level is 452 inches

On Jan 21, the level is 378 inches.

Now, a linear function can be represented in the form:

$y=mx+b$

Where, 'm' is the rate of change and 'b' is initial level

$x\to number\ of\ days\ passed\ since\ Jan\ 1$

$y\to Lake\ level$

So, let Jan 1 corresponds to the initial level and thus b = 452 in

Now, the rate of change is given as the ratio of the change in level of lake to the number of days passed.

So, from Jan 1 to Jan 21, the days passed is 21.

Change in level = Level on Jan 21 - Level on Jan 1

Change in level = 378 in - 452 in = -74 in

Now, rate of change is given as:

$m=\frac{-74}{21}$

Hence, the function to represent the lake level is $y=-\frac{74}{21}x+452$

Where, 'x' is the number of days passed since Jan 1.

8 0

2 years ago

Find the probability that the senator was in the Democratic party, given that the senator was returning to office.

shutvik [7]

Answer:

The probability that the senator was in the Democratic party, given that the senator was returning to office is 0.4715.

Step-by-step explanation:

The complete question is:

Sophia made the following two-way table categorizing the US senators in 2015 by their political party and whether or not it was their first term in the senate.

Democratic Republican Independent Total

First Term 11 28 11 50

Returning 33 26 11 70

Total 44 54 22 120

Find the probability that the senator was in the Democratic party, given that the senator was returning to office.

Solution:

The conditional probability of an event <em>A</em> given that another event <em>X</em> has already occurred is given by:

$P(A|X)=\frac{P(A\cap X)}{P(X)}$

The probability of an event <em>E</em> is given by the ratio of the number of favorable outcomes to the total number of outcomes.

$P(E)=\frac{n(E)}{N}$

Compute the probability of selecting an US senator who is a Democratic and was returning to office as follows:

$P(D\cap R)=\frac{33}{120}=0.275$

Compute the probability of selecting an US senator who was returning to office as follows:

$P(R)=\frac{70}{120}=0.5833$

Compute the conditional probability, P (D | R) as follows:

$P(D|R)=\frac{P(D\cap R)}{P(R)}$

$=\frac{0.275}{0.5833}\\\\=0.4714555\\\\\approx 0.4715$

Thus, the probability that the senator was in the Democratic party, given that the senator was returning to office is 0.4715.

4 0

3 years ago

Read 2 more answers

Lorenzo ate 3.5 slices of an extra large pizza and consumed a total of 1008 calories. What is the constant of proportionality th

Lorico [155]

A3.5x+1008y

Step-by-step explanation:

8 0

3 years ago

How many triangles of any size are there in a star?

noname [10]

There are many shapes of a star. It depends on the shape of the star. If you’re referring to this star, then the number of triangles is 5.

Hope this answers your question!

6 0

2 years ago