The data below represents the number of strikes each Sam's Inc. employee got on the company bowling outing.
36
1, 3, 6, 8, 10, 12, 13, 13, 16, 18, 19

What the height would need  for this curve to be a density curve is; One-half

The criteria for a curve to be a density curve is as follows;

1. The curve must always be non-negative. This tells us that the y-value of the curve must be greater than or equal to 0 at every given point.

2. The area under the curve must always be equal to 1.

Now, we are told that the curve starts at (-2, 0) and then goes to (5, question mark), and then goes down to (6, 0),.

This means that the area under the curve will be a trapezoid that has a height of question mark and then bases of length 3 (from -2 to 5) and length 1 (from 5 to 6).

The area of this trapezoid will be equal to the sum of the bases times the height divided by 2, or:

Area = ((3 + 1) × question mark)/2

Since the area under the curve must be equal to 1, we can set up the equation:

1 = ((3 + 1)  ×  question mark) / 2

Solving for question mark, we will:

The question mark = 2/4

The question mark = 1/2

Therefore, we can conclude that the height of the curve is  1/2

Read more about Density Curves at; https://brainly.com/question/27990511

#SPJ1

Answer:

4

Step-by-step explanation:

:)

Step-by-step explanation:

Calculate the approximate value: 26 x 0.87462

Calculate: 22.74012

Round  22.74012 to the required place

Answer:22.7

Hope this helps

Answer:

try -5

Step-by-step explanation:

mainly because it says -3 plus 5 and there's only 4 and 5 so It can't really go further

Answer:try -5

Step-by-step explanation:

mainly because it says -3 plus 5 and there's only 4 and 5 so It can't really go further

Answer:

35°

Step-by-step explanation:

180 degrees is the total sum of the angles in a triangle.

180° - 130° = 50°

180° - 85° = 95°

50° + 95° = 145°

180° - 145° = 35°

Answer: Assuming that the selection of the toll booth is a random and independent event, the probability that Mr. Espinoza chooses the middle toll booth on Monday is 1/5 (or 20%), since there are five total toll booths and the middle booth is one of those options. Similarly, the probability that he chooses the middle booth on Tuesday is also 1/5 (or 20%).

To find the probability that he chooses the middle booth on Monday and Tuesday, we can multiply the probabilities of each event.

Probability of selecting middle booth on Monday AND selecting middle booth on Tuesday = (1/5) * (1/5) = 1/25 = 0.04 or 4%

So, Mr. Espinoza will select the middle toll booth on Monday and Tuesday with a probability of 4%. This means that the chance that both events will happen is low and quite rare, but not impossible.

Step-by-step explanation:

Answer:

A: open circle above -2 arrow going to the right until +8

B: Open circle above -2 arrow going to the left until -8

C: Closed circle above -1 arrow going to the left until -8

D: Closed circle above 0 arrow going to the right until +8

Step-by-step explanation:

Answer:

5cm

Step-by-step explanation:

The hypotenuse is the longest side of the triangle

Answer:

The inverse property definition states when added together with its additive inverse, the sum of the two numbers will be zero. When a number is multiplied by its multiplicative inverse, the product will be one

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

4w=28

4(7)=28

28=28

Answer:

288°

Step-by-step explanation:

[tex]l = \frac{ \theta}{360 \degree} \times c \\ \\ where \\ l = length \: of \: the \: arc \\ \theta \: = measure \: of \: the \: central \: angle \\ c = circumference \: of \: the \: circle \\ \\ \implies \: \frac{32}{5} = \frac{ \theta}{360 \degree} \times 8 \\ \\ 40 \theta = 32 \times 360 \degree \\ \\ \theta = \frac{ 32 \times 360 \degree}{40} \\ \\ \theta =32 \times 9 \degree\\ \\ \theta =288 \degree [/tex]

The length of each diagonal is √(196x^2 + 816x + 324) units.

The diagonal of a rectangle can be estimated using the hypotenuse formula, such as using the Pythagorean theorem calculator.

WX^2 = WY^2 + XZ^2

Given that WY = 14x + 10 and XZ = 11x + 22, we can substitute those values in the equation:

WX^2 = (14x + 10)^2 + (11x + 22)^2

WX^2 = 196x^2 + 816x + 324

WX = √(196x^2 + 816x + 324)

The same goes for the other diagonal, WZ.

WZ = √(196x^2 + 816x + 324)

So, the length of each diagonal is √(196x^2 + 816x + 324) units.

To know more about Pythagorean theorem visit:-

https://brainly.com/question/14930619

#SPJ1

Answer:

7.5 cups of sugar

Step-by-step explanation:

You should use proportions to find the answer.

9/18 = 15/x

Cross multiply:

9*15 = 135

135/18 = 7.5

Because half of 18 is 9, you just need to find half of 15, which is 7.5.

Answer:

Principal=$2000

Rate=3%

Time=3 years

Interest=P*T*R/100

=$2000*3*3/100

=$18000/100

=$180

Step-by-step explanation:

The theoretical likelihood of selecting a heart is 1/16 times higher than the actual likelihood.

In the given question, we have to find the experimental probability of choosing a heart compare with the theoretical probability of choosing a heart.

We are aware that a deck's total number of cards= 52

Total number of hearts = 13

Then the theoretical probability of getting a heart = Number of cards have hearts/Total cards

Then the theoretical probability of getting a heart = 13/52

Then the theoretical probability of getting a heart = 1/4

Then the theoretical probability of getting a heart = 0.25

Cards chosen by Rochelle : Clubs 29, Spades 13, Hearts 15, Diamonds 23

Total cards  = 80

The experimental likelihood of experiencing a heart attack = Number of cards have hearts/Total cards

The experimental likelihood of experiencing a heart attack = 15/80

The experimental likelihood of experiencing a heart attack = 3/16

The experimental likelihood of experiencing a heart attack = 0.185

Since, 0.25 > 0.1875 so, Theoretical probability > Experimental probability

and,

Theoretical probability = 0.25-0.1875

Theoretical probability = 0.0625

Theoretical probability = 625/10000

Theoretical probability = 1/16

Hence, the theoretical likelihood of selecting a heart is 1/16 times higher than the actual likelihood.

To learn more about Theoretical probability link is here

brainly.com/question/24037367

#SPJ4

Answer:

[tex] {2x}^{2} + 12x + 8 \\ = {x}^{2} + 6x + 4 \\ = {x}^{2} + 6x + {( \frac{6}{2}) }^{2} + 4 - {( \frac{6}{2} )}^{2} \\ = ( {x}^{2} + 6x + {3}^{2} ) + ( - 5) \\ = {(x + 3)}^{2} - 5[/tex]

The projected population of Haleyville in 2020 is 4139.

A function is a relationship between inputs where each input is related to exactly one output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

Population in 2010 = 4403

The decline in population per year = 0.06%

Now,

The population in 2020.

There are 10 years between 2010 and 2020.

The function used to find the population after x years.

= 4403 x [tex]0.994^x[/tex]

Now,

x = 10

= 4403 x [tex]0.994^{10}[/tex]

= 4403 x 0.94

= 4139

Thus,

The population in 2020 is 4139.

Learn more about functions here:

https://brainly.com/question/28533782

#SPJ1

Answer: 4

Explanation:

In Algebra a term is either a single number or variable, or numbers and variables multiplied together.

Terms are separated by + or − signs, or sometimes by divide.

Answer:

Dom = R - {-4}

Range = R - {0}

Step-by-step explanation:

To fill one urn with one white ball and the second urn with the remaining nine white and ten black balls.

Probability measures how probable something is to occur. We can discuss the probabilities of various outcomes, or how likely they are, whenever we are unsure of how an event will turn out. Statistics is the study of events subject to probability.

By dividing the number of preferable possibilities by the total number of potential outcomes, probability, which measures the likelihood that an event will occur, is obtained. A coin flip is the most basic illustration. There are only two outcomes that can occur when you flip a coin: either heads or tails.

The basic probability formula is: Probability = Number of Favorable Outcomes / Total Number of Outcomes. or P(A) = f/N

To learn more about  probability refer to:

https://brainly.com/question/13604758

#SPJ4

Using Punnett square we know that 25%of the possible gene combinations result in albino coloring.

The genotypes of a specific cross or breeding experiment are predicted using the Punnett square, a square diagram.

It bears Reginald C. Punnett's name, who developed the method in 1905.

Biologists use the figure to calculate the likelihood that a child will have a specific genotype.

So, there is only one gene combination that could result in albinism.

4 different gene pairings are possible.

The proportion of gene combinations that might result in albinism.

Coloring is, therefore:

Percentage = 1/4 * 100 = 25%

Therefore, using Punnett square we know that 25%of the possible gene combinations result in albino coloring.

Know more about Punnett square here:

https://brainly.com/question/3522181

#SPJ4

Correct question:

Genetics In deer, the gene N is for normal coloring and the gene a is for albino. Any gene combination with an N results in normal coloring. The Punnett square shows the possible gene combinations of an offspring and the resulting colors when both parents have the gene combination Na.

What percent of the possible gene combinations result in albino coloring?

1) false

2) false

3) true

4) true

5) true

Answer:

1 false,2 false,3 true,4 true,5 true

The expression that represents the total price plus tax that Julian paid during shopping is 1.0575pp

How to write the expression of the total price Julian paid

The question is a percentage problem, percentage deals with a fraction hundred and used as follows

5.75%

= 5.75 percent

= 5.75 / 100

= 0.0575

The factor 0.0575 of the price  (pp dollars and cents) gives the total price paid

when the price paid is pp dollars and cents

= 0.0575 * pp + pp

= 1.0575pp

The total price paid is 1.0575pp

Learn more about percent here:

https://brainly.com/question/29230566

#SPJ1

The dimensions of the wood that remains after Tierra finishes making the 21 steps is 1.185 cm by 21.6 cm

In Mathematics, dimensions are referred to as measures of size such as length, width, and height of an object or a shape.

A square has sides of equal dimensions.

A rectangle has length and width as its dimensions that define the area of a rectangle.

Also, dimension is used widely to term the figure as one-dimensional, two-dimensional or three-dimensional.

Wood = 1.5 cm by 30 cm

Each cut = .15 mm by 4 mm

Steps = 21

The remaining dimension is calculated as:

Remaining = 1.5 cm - 21 * .15 mm by 30 cm - 21 * 4 mm

Express mm as cm

Remaining = 1.5 cm - 21 * .015 cm by 30 cm - 21 * 0.4 cm

Evaluate the difference

Remaining = 1.185 cm by 21.6 cm

Hence, the dimensions of the wood that remains after Tierra finishes making the 21 steps is 1.185 cm by 21.6 cm

To know more about dimensions visit brainly.com/question/29205155

#SPJ4

Step-by-step explanation:

where is the question? i can help you