Mallory began a new job at an amusement park 4 weeks ago. She worked 13
hours during the first week, 22 hours during the second week, 18 hours during
the third week, and 15 hours during the fourth week. Which graph best
represents the total hours Mallory worked over these 4 weeks?

Answer:

75

Step-by-step explanation:

0.3*300=90

0.05*300=15

90-15=75

Answer:

ok so we want to find out 30% of 300 is

so first lets turn it into its decmil form by multiplying by 0.01 so

30*0.01=0.3

then lets multiply that by 300 so

300*0.3=90

90 people were from whales

15 people from scotland

90-15=75

Hope This Helps!!!

Using the binomial distribution, considering the probability of each event, the correct histogram is the fourth one.

For each question, there are only two possible outcomes, either the student guesses the correct answer, or not. The probability of guessing the correct answer on a question is independent of any other question, hence the binomial distribution is used to solve this question.

The formula is:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

The parameters are:

In this problem:

Then, the probabilities are as follows:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 0) = C_{5,0}.(0.5)^{0}.(0.5)^{5} = 0.03125[/tex]

[tex]P(X = 1) = C_{5,1}.(0.5)^{1}.(0.5)^{4} = 0.15625[/tex]

[tex]P(X = 2) = C_{5,2}.(0.5)^{2}.(0.5)^{3} = 0.3125[/tex]

[tex]P(X = 3) = C_{5,3}.(0.5)^{3}.(0.5)^{2} = 0.3125[/tex]

[tex]P(X = 4) = C_{5,4}.(0.5)^{4}.(0.5)^{1} = 0.15625[/tex]

[tex]P(X = 5) = C_{5,5}.(0.5)^{5}.(0.5)^{0} = 0.03125[/tex]

Hence the fourth histogram is correct.

More can be learned about the binomial distribution at https://brainly.com/question/14424710

Answer:

Step-by-step explanation:

Answer:

2nd Option 68 :)

Step-by-step explanation:

From the given graph , we see that it passes through the point (0,-1) .

→ y intercept = -1

For finding slope , take another point as (1,3) . Now using the points (1,3) and (0,-1) we can find out the slope as ,

→ m = y2 - y1 / x2 - x1

Substituting the respective values,

→ m = 3 -(-1)/1-0

→ m = 3+1/1

→ m = 4/1

→ m = 4

Hence the slope of the line is 4 and its y intercept is -1 .

Unit price per ounce of the candy of 340.23 grams is $1.58

Ounce and gram are two different unit of mass and relation between them is 1 gram = 0.03527 ounces .

In the question it is given that  weight of candy is 340.23 grams

And it costs $18.99

Now we can covert grams to ounces as

[tex]1 \text{gram}= \ 0.03527 \text{ounces}\\[/tex]

Hence

[tex]340.23 \text{gram}= \ 340.23\times 0.03527 \text{ounces}\\\\\\340.23 \text{gram}=11.99 \ \text{ounces}\\[/tex]

Now 11.99 ounces of candy cost $18.99

So 1 ounce of candy cost 18.99/11.99= $1.58

Unit price per ounce of the candy of 340.23 grams is $1.58

To learn more about gram visit: https://brainly.com/question/26161082

Answer:

x < 4

Step-by-step explanation:

12x - 11 < 37 ( add 11 to both sides )

12x < 48 ( divide both sides by 12 )

x < 4

Answer:

Yes, it's right

Step-by-step explanation:

Answer:

  (b)  -√3

Step-by-step explanation:

Any fraction or terminating decimal is rational. (a) and (c)

Any repeating decimal is rational.

Any square root of a perfect square is rational. (d)

Any square root of an integer that is not a perfect square is irrational. (c)

The sign of the number is irrelevant.

__

Of these numbers, the irrational one is -√3.

Answer:

48 m

Step-by-step explanation:

8 times 6 which is how many sides a square has.

Answer:

14

Step-by-step explanation:

x equals 14

14(14-4)=140

Answer:

0 and 3.6

Step-by-step explanation:

4x0x9.17= 0

1.8x1x2= 3.6

Answer:

0

3.6

Step-by-step explanation:

4x0x9.17=0

1.8x1x2=3.6

Answer:

[tex]x = \frac{y - 3}{2} \\ [/tex]

Step-by-step explanation:

[tex]y = 2x + 3 \\ y - 3 = 2x \\ \frac{y - 3}{2} = x \\ [/tex]

The answer is -6 :)

1. Add 40 to both sides of the equation.

-8x-40=8

-8x-40+40=8+40

2. Add the numbers.

-8x=48

3. Divide both sides of the equation by the same term.

-8x=48

[tex]\frac{-8x}{-8}[/tex]=[tex]\frac{48}{-8}[/tex]

4. Cancel terms that are in both the numerator and denominator and divide the numbers.

x=-6

hope this helped! :)

20 is the answer.

Step-by-step explanation:

Take a look at the given question,

"75% of what number is 15"

Let's substitute this "what number" as "x"

[tex]75[/tex]%[tex] \times x = 15[/tex]

[tex]→x = \frac{15}{75 \: percent} [/tex]

[tex]→x = \frac{15}{ \frac{75}{100} } [/tex]

[tex]→x = \frac{15}{0.75} [/tex]

To make the denominator as positive for making calculations more easy, we get,

[tex]x = \frac{15 \times 100}{0.75 \times 100} [/tex]

[tex]→x = \frac{1500}{75} [/tex]

Now after doing the division, we get,

[tex]x = 20[/tex]

Hence, 75% of 20 is 15.

Answer:

M=5+sr of 15/10, 5-sr of 15/10

Answer:

(3,-2)

Step-by-step explanation:

See image

Answer

42.025

Step-by-step explanation:

8    

90.425

- 48.400

= 42.025

You substitute the 9 to an 8

Hope this helps ._.

Answer:

44 students play video games

Step-by-step explanation:

110*0.40 = 44

i hope this helps! have a wonderful rest of ur day :)

Answer:

40/100

Step-by-step explanation:

40% of 110 is 44 so we make this a fraction 44/110 and then simplify to get 2/5 and after that we know that 2/5 is also 40/100, meaning 40 out of 100 students like video games.

Answer:

4 x 2 - 6

= 8 - 6

=2

Step-by-step explanation:

Answer:

y = x + -2

Step-by-step explanation:

I know you're probably asleep but here's the answer. And I'm 14 years old, so I might be young and undereducated.

(-4,2) and (6,-8)

-8-2 = -10

6 -(-4) = 10 (-10/10 = -1)

-8 = 6(-1) + b

-8 = -6 + b

-2 = b

Answer: No

Step-by-step explanation:

Like all the numbers in are the negative sides of the axis, -3,3 could not possibly go through -3, -2 because one side is horizontal the other is vertical.

Answer:

Three ways I experience these benefits is 1, being able to vote in free elections, 2, being able to receive an education, and 3, being able to volunteer for things.

Step-by-step explanation:

Answer:

the answer I got was B

Step-by-step explanation:

subtact 10 from both sides:

2x + 10 - 10 < 40 - 10

simplify the arithmetic:

2x < 40 - 10

simply again:

2x < 30

divide:

30 / 2 = 15

Answer:

(2;-5) and (0;-4).

Step-by-step explanation:

if the given graph is the same as in the attached picture (y=-0.5x-4), then two points only belong to it.

Answer:

$3.75

Step-by-step explanation:

You only have to multiply 3 pounds by the $1.25 to get the cost.

Explanation:

The mixed number 8 & 4/5 consists of the whole part 8 and the fractional part 4/5.

Divide the whole part 8 into 4 equal pieces

8/4 = 2

This means 2 is part of the final answer.

Also, divide the 4/5 into 4 equal pieces as well. This is the same as multiplying by 1/4

(1/4)*(4/5) = 1/5

Overall, the size of each section is 2 & 1/5 acres

Answer:

A) [tex]\frac{d^2y}{dx^2}=\frac{2y}{x^2}[/tex]

Step-by-step explanation:

Use implicit differentiation to find dy/dx

[tex]x^2y^2=1\\\\\frac{d}{dx}(x^2y^2)=\frac{d}{dx}(1)\\ \\x^2(\frac{d}{dx}y^2)+(\frac{d}{dx}(x^2))y^2 =0\\\\2yx^2\frac{dy}{dx}+2xy^2=0\\\\2xy(x\frac{dy}{dx}+y)=0\\ \\x\frac{dy}{dx}+y=0\\ \\x\frac{dy}{dx}=-y\\ \\\frac{dy}{dx}=-\frac{y}{x}[/tex]

Determine d²y/dx² using dy/dx

[tex]\frac{dy}{dx}=\frac{-y}{x}\\ \\ \frac{d^2y}{dx^2}=\frac{(x)[\frac{d}{dx}(-y)]-(-y)[\frac{d}{dx}(x)] }{x^2}\\ \\ \frac{d^2y}{dx^2}=\frac{-x\frac{dy}{dx}+y}{x^2}\\ \\ \frac{d^2y}{dx^2}=\frac{-x(\frac{-y}{x})+y}{x^2}\\\\ \frac{d^2y}{dx^2}=\frac{-(-y)+y}{x^2}\\\\ \frac{d^2y}{dx^2}=\frac{y+y}{x^2}\\\\ \frac{d^2y}{dx^2}=\frac{2y}{x^2}[/tex]

Helpful tips

Let me know if you have any more questions!