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2 years ago

Gina measured the amount of water her friends drink each day in gallons. The line plot shows the measurements.

Mathematics

1 answer:

vova2212 [387]2 years ago

7 0

Line plots are used to represent data using lines and dots

The difference between the greatest amount of water and the least is 1/2

From the line plot (see attachment), we have the following parameters:

$Least = 8\frac 28$

$Greatest = 8\frac 68$

<h3>Calculating the difference</h3>

The difference (d) is then calculated as:

$d =Greatest -Least$

So, we have:

$d =8\frac 68 -8\frac 28$

Subtract the common terms (8)

$d =\frac 68 -\frac 28$

Take LCM

$d =\frac {6-2}8$

$d =\frac {4}8$

Reduce the fraction

$d =\frac {1}2$

Hence, the difference between the greatest amount of water and the least is 1/2

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Hilda draws a card from a deck of cards and it is a seven. The probability that it is the 7 of spades is Select one: O a. 1/3 O

Schach [20]

Answer:b

Step-by-step explanation:

Given

Hilda draws a card from a deck of cards and it is seven.

It is certain that card is 7 so there a 4 cards which can be 7

i.e. 7 of hearts,7 of spades,7 of club,7 of diamond

So probability that it is the 7 of spades is

$\frac{1}{4}=0.25$

8 0

3 years ago

Dale works at a mattress store, and makes a salary plus commission. He has a $500 weekly salary and makes a 5% commission for sa

Anni [7]

Answer:

1. $\( f\circ g(x)=0.05x-150$

2. $\( g\circ f(x)=0.05x-3000$

3. The first one represents Dale's commission

Explanation:

1. The composition of the function

$f\circ g(x)=f(g(x))$

means that you first apply the function g(x) and then f(x) on the output of g(x).

That is:

f(x) = 0.05x
g(x) = x - 3000

$f(g(x)=0.05(x - 3000)$

$f(g(x))=0.05x-150$

2. The composition of the function

$g\circ f(x)=g(f(x))$

means that you first apply the function f(x) and then g(x) on the output of f(x).

That is:

$g(f(x))=((0.05x)-3000)=0.05x-3000$

3. Which one represents Dale's commission

To calculate Dales's commision you must subtract $3,000 from the sales, to find the sales over $3000. That is: x - 3,000, which is the function g(x).

Therefore, you first use g(x).

Then, you must multiply the output of g(x) by 0.05 to find the 5% of the sales over $3,000. That is: 0.05(g((x)) = 0.05(x - 3000) = 0.05x - 150.

Therefore, the composition that represents Dale's commission is the first one:

$f(g(x)=0.05(x - 3000)$

$f(g(x))=0.05x-150$

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3 years ago

Write an equation of a circle with a center at (2, - 4) and a radius of 4.

fgiga [73]

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Answer:

(x -2)^2 +(y +4)^2 = 16

Step-by-step explanation:

The equation of a circle with center (h, k) and radius r is ...

(x -h)^2 +(y -k)^2 = r^2

You have (h, k) = (2, -4) and r = 4, so your equation is ...

(x -2)^2 +(y -(-4))^2 = 4^2

(x -2)^2 +(y +4)^2 = 16

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2 years ago

Jonathan is building an outdoor staircase for his deck. He uses 8 screws for every 2 steps. If there are 14 steps, how many scre

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Answer:

56 screws

Step-by-step explanation:

So, first we can find how many screws he needs.

So, if he uses 2 steps for 8 screws, and has 14 steps, that means he puts screws in 7 steps ( 14÷2)

then, if he uses 8 screws, each with 8 steps, we can do 8 times 7, which is 56 screws

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2 years ago

Which postulate explains why a tripod will not tip over?

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Tripod will not tip over because: a plane contains at least 3 noncollinear points .
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3 years ago

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