Christian Iris and Morgan each get an equal share of 1/2 of pizza which model represent the fraction of the ​pizza each person gets

Answer:

  5

Step-by-step explanation:

To put the equation in standard form, add 6 to both sides.

  x^2 +4x -1 +6 = -6 +6

  x^2 +4x +5 = 0

The new value of "c" (the constant) is 5.

Answer:

C or 5 for me

Step-by-step explanation:

Answer:

<C = [tex]38^{o}[/tex]

Step-by-step explanation:

Given that: <AIB = [tex]109^{o}[/tex]

<AIB + <BIX = [tex]180^{o}[/tex] (sum of angles on a straight line)

[tex]109^{o}[/tex] + <BIX =  [tex]180^{o}[/tex]  

<BIX =  [tex]180^{o}[/tex] - [tex]109^{o}[/tex]

<BIX = [tex]71^{o}[/tex]

But,

<AIB = <YIX = [tex]109^{o}[/tex] (opposite angle property)

<XIB = <AIY = [tex]71^{o}[/tex]  (opposite angle property)

Therefore,

[tex]\frac{A}{2}[/tex] + [tex]\frac{B}{2}[/tex] =  [tex]71^{o}[/tex] (Exterior angle property)

[tex]\frac{A + B}{2}[/tex] =  [tex]71^{o}[/tex]

A + B = [tex]142^{o}[/tex]

A + B + C =  [tex]180^{o}[/tex] (sum of angles in a triangle)

 [tex]142^{o}[/tex] + C = [tex]180^{o}[/tex]

C = [tex]180^{o}[/tex] - [tex]142^{o}[/tex]

C = [tex]38^{o}[/tex]

Thus, angle C is [tex]38^{o}[/tex].

Answer:

  41,850

Step-by-step explanation:

The 4th digit from the left is in the 10s place, so you need to round to that place. This requires rounding up, since the 1s digit is more than 4.

  41,850 . . . . to 4 significant figures

Answer:

21°

Step-by-step explanation:

All angles in a triangle add up to 180°.

180 - 31 - 128

= 21

The measure of the third angle is 21°.

Answer: H - 46

Step-by-step explanation:

Primeter = 2(l + w)

50 = 2{(3m+2) + (m-5)}

25 = 3m+2 +m -5

25 = 4m -3

m = 28/4 = 7

l = 3m+2 = 23 cm

w = m-5 = 2 cm

Area = l x b

= 23 x 2 = 46 sq. cm.

Answer:

67,365,043,200

Step-by-step explanation:

A coin toss has 2 possible outcomes.  A coin tossed 3 times has 2³ = 8 possible permutations.

A standard die has 6 possible outcomes.  A die rolled 4 times has 6⁴ = 1296 possible permutations.

The number of ways 4 cards can be chosen from a deck of 52 without replacements is 52×51×50×49 = 6,497,400.

The total number of possible outcomes is:

8 × 1296 × 6,497,400 = 67,365,043,200

Answer:

the same

Step-by-step explanation:

Answer:

The two solutions can be +10 and -10

Step-by-step explanation:

b^2 - 100 = 0

b^2 = 100

Take the root of both sides

b = +- 10

b = +10 , b = -10

Answer:

$192

Step-by-step explanation:

1: Subtract the discount from 100% then divide the sale price by this number (100%-25%=75%, $144/75%=$192)

hope this helped

Answer:

$192

Step-by-step explanation:

144 is actually 75% from the original price x:

0.75 x=144

x=144/0.75= $192

check : 192*0.25= $ 48 discount

192-48= $ 144 price of the shoe

Answer:

Option 4.

Step-by-step explanation:

Reciprocal of the second fraction turns the product into the division of the two fractions, which equals to 1.

[tex]a/3(a/3)[/tex]

[tex]a/3 \div 3/a=1[/tex]

Two fractions are said to be the reciprocal or multiplicative inverse of each other, if their product is 1.

Answer:

D. a/3 divided by 3/a = 1

Step-by-step explanation:

edge

Answer: $8179

Step-by-step explanation:

The principal is the amount of money that is invested at a particular interest rate.

In this scenario, we are informed that a company borrows $60,000 by signing a $60,000 8% 6 year note that requires equal payments of $12979 at the end of each year.

Since the first payment will record interest expense of $4800, then for us to get the amount that the principal will be reduced by, we subtract the interest expense made from the equal payments that are made at each year end. This will be:

= $12979 - $4800

= $8179

Answer:

4 categories are shown in rows.

2 categories are shown in columns.

12 14 year olds.

82 people were polled.

Answer:

option a (-1,-1/2)

Step-by-step explanation:

apply mid point formula

Answer:

32

Step-by-step explanation:

Answer: 44

Step-by-step explanation:

This is a confusing problem to look at, so use PEMDAS(parenthesis, exponents, multiplication, division, addition, subtraction).

5 * (-4) + (1 - (-3)^2)^2      simplify inside the parenthesis

5 * (-4) + (1 - 9)^2

5 * (-4) + (-8)^2                simplify exponents

5 * (-4) + 64                     multiply

-20 + 64                          finally, addition

44

Answer:

See below.

Step-by-step explanation:

Recall that the x-intercept is basically: (x,0).

In other words, we just need to substitute y with 0 in order to find the x-intercept.

Thus, we will have:

[tex]2x-3(0)=-19[/tex]

[tex]2x=-19[/tex]

[tex]x=-19/2[/tex]

Answer:

[tex]70^\circ, 250^\circ[/tex]

Step-by-step explanation:

Given that:

[tex]tan x= 2.7475[/tex]

and  [tex]0^\circ < x < 360^\circ[/tex] i.e. [tex]x[/tex] lies in the interval [tex]0^\circ[/tex] to [tex]360^\circ[/tex] or [tex]0\ to\ 2\pi[/tex].

To find: The possible values for x in the interval [tex]0^\circ[/tex] to [tex]360^\circ[/tex] = ?

First of all, let us learn something about [tex]tan\theta[/tex].

In a right angled triangle the value of [tex]tan\theta[/tex] can be calculated as follows:

[tex]tan\theta = \dfrac{Perpendicular}{Base}[/tex]

i.e. [tex]tan\theta[/tex]  is equal to the ratio of Perpendicular to Base in a right angled triangle.

We are given that:

[tex]tan x= 2.7475[/tex]

[tex]\Rightarrow x = tan^{-1}(2.7475)\\\Rightarrow x = 70^\circ[/tex]

So, the value of x in first quadrant is [tex]70^\circ[/tex].

It is also known that value of tangent is positive in the first and third quadrant.

We are given a positive value of tangent here,

So, another value of [tex]x = 180^\circ+70^\circ = 250^\circ[/tex]

Hence, the correct answers are:  [tex]x=70^\circ, 250^\circ[/tex]

Answer:

(a) [tex]E(X) = 0.383[/tex]

The expected number in the sample that treats hazardous waste on-site is 0.383.

(b) [tex]P(x = 4) = 0.000169[/tex]

There is a 0.000169 probability that 4 of the 10 selected facilities treat hazardous waste on-site.

Step-by-step explanation:

Professional Geographer (Feb. 2000) reported the hazardous waste generation and disposal characteristics of 209 facilities.

N = 209

Only eight of these facilities treated hazardous waste on-site.

r = 8

a. In a random sample of 10 of the 209 facilities, what is the expected number in the sample that treats hazardous waste on-site?

n = 10

The expected number in the sample that treats hazardous waste on-site is given by

[tex]$ E(X) = \frac{n \times r}{N} $[/tex]

[tex]$ E(X) = \frac{10 \times 8}{209} $[/tex]

[tex]$ E(X) = \frac{80}{209} $[/tex]

[tex]E(X) = 0.383[/tex]

Therefore, the expected number in the sample that treats hazardous waste on-site is 0.383.

b. Find the probability that 4 of the 10 selected facilities treat hazardous waste on-site

The probability is given by

[tex]$ P(x = 4) = \frac{\binom{r}{x} \binom{N - r}{n - x}}{\binom{N}{n}} $[/tex]

For the given case, we have

N = 209

n = 10

r = 8

x = 4

[tex]$ P(x = 4) = \frac{\binom{8}{4} \binom{209 - 8}{10 - 4}}{\binom{209}{10}} $[/tex]

[tex]$ P(x = 4) = \frac{\binom{8}{4} \binom{201}{6}}{\binom{209}{10}} $[/tex]

[tex]$ P(x = 4) = \frac{70 \times 84944276340}{35216131179263320}[/tex]

[tex]P(x = 4) = 0.000169[/tex]

Therefore, there is a 0.000169 probability that 4 of the 10 selected facilities treat hazardous waste on-site.

Answer:

1/2

Step-by-step explanation:

There are two sides of a coin, therefor you have 1/2 a chance of getting heads or tails. 1/2=50%

Answer:

50%

Step-by-step explanation:

There are 2 sides of a coin which have an equal chance of landing on the visible side. In other words, they each have half of the chance, or 50%.

Answer:

86.47% probability that there is at least one hit in a 30-second period

Step-by-step explanation:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]

In which

x is the number of sucesses

e = 2.71828 is the Euler number

[tex]\mu[/tex] is the mean in the given interval.

Mean rate of four hits per minute.

This means that [tex]\mu = 4n[/tex], in which n is the number of minutes.

What is the probability that there is at least one hit in a 30-second period

30 seconds is 0.5 minutes, so [tex]\mu = 4*0.5 = 2[/tex]

Either the site doesn't get a hit during this period, or it does. The sum of the probabilities of these events is 1. So

[tex]P(X = 0) + P(X \geq 1) = 1[/tex]

We want [tex]P(X \geq 1)[/tex]

Then

[tex]P(X \geq 1) = 1 - P(X = 0)[/tex]

In which

[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]

[tex]P(X = 0) = \frac{e^{-2}*2^{0}}{(0)!} = 0.1353[/tex]

[tex]P(X \geq 1) = 1 - P(X = 0) = 1 - 0.1353 = 0.8647[/tex]

86.47% probability that there is at least one hit in a 30-second period

Answer:

The probability that a group of 15 randomly selected skiers will overload the gondola = (3.177 × 10⁻⁵¹)

(almost zero probability showing how almost impossible it is to overload the gondola, therefore showing how very safe the gondola is)

Step-by-step explanation:

Complete Question

A ski gondola carries skiers to the top of the mountain. If the Total weight of an adult skier and the equipment is normally distributed with mean 200 lb and standard deviation 40 lb.

Consider the ski gondola from Question 3. Suppose engineers decide to reduce the risk of an overload by reducing the passenger capacity to a maximum of 15 skiers. Assuming the maximum load limit remains at 5,000 lb, what is the probability that a group of 15 randomly selected skiers will overload the gondola.

Solution

For 15 people to exceed 5000 lb, each person is expected to exceed (5000/15) per skier.

Each skier is expected to exceed 333.333 lb weight.

Probability of one skier exceeding this limit = P(x > 333.333)

This becomes a normal distribution problem with mean = 200 lb, standard deviation = 40 lb

We first standardize 333.333 lbs

The standardized score for any value is the value minus the mean then divided by the standard deviation.

z = (x - μ)/σ = (333.333 - 200)/40 = 3.33

To determine the required probability

P(x > 333.333) = P(z > 3.33)

We'll use data from the normal distribution table for these probabilities

P(x > 333.333) = P(z > 3.33) = 1 - P(z ≤ 3.33)

= 1 - 0.99957

= 0.00043

So, the probability that 15 people will now all be above this limit = (probability of one person exceeding the limit)¹⁵ = (0.00043)¹⁵

= (3.177 × 10⁻⁵¹)

(almost zero probability showing how almost impossible it is to overload the gondola, therefore showing how very safe the gondola is)

Hope this Helps!!!

Answer:

cooking ( mesurments )

gardening ( landscape )

designing ( art )

shopping for the best price ( aka money counting )

car rides ( figuring out distance and time )

sewing.

hope this helped :)

Step-by-step explanation:

Answer: -5, 6, and 9

Step-by-step explanation:

Step-by-step explanation:

least to greatest

-5 6 9

Answer:

first blank: 22

second blank: 1

third blank: 7

fourth blank: 18

Step-by-step explanation:

edge 2020

Answer: 22, 1, 7, 18

The results of a survey of common allergies was organized into a Venn diagram.

Circles D, C, and P overlap. Circle D contains 15. Circle C contains 18. Circle P contains 9. The overlap of circles C and D contains 7. The overlap of circles D and P contains 12. The overlap of C and P contains 10. The overlap of all 3 circles contains 1.

Answer the questions about the following sets:

D = {x | x is a person allergic to dogs}; C = {x | x is a person allergic to cats}; P = {x | x is a person allergic to pollen}

How many people are not allergic to any of the three choices?

✔ 22

How many people are allergic to all three choices?

✔ 1

How many people are allergic to both dogs and cats but not allergic to pollen?

✔ 7

How many people are allergic to cats only?

✔ 18

Note: Check the file attached below for the complete question

Answer:

Betty's monthly take home is $20 less

Step-by-step explanation:

Betty's monthly income = $2300

Betty's monthly savings = $200

Amount left after savings = $2300 - $200

Amount left after savings = $2100

Federal and State Income tax rate = 20% = 0.2

Tax amount paid = $420

Monthly take home = $2100 - $420

Monthly take home = $1680

Compared to $150 per month savings, Betty's monthly take home is $20 less

Answer:

1/12 of a dozen is 1

Step-by-step explanation:

One dozen means 12. If you ask for 1/12 of 12, you multiply 12 and 1/12. You should get 1 as your answer.

Answer:

The probability that a student arriving at the ATM will have to wait is 67%.

Step-by-step explanation:

This can be solved using the queueing theory models.

We have a mean rate of arrival of:

[tex]\lambda=1/3\,min^{-1}[/tex]

We have a service rate of:

[tex]\mu=1/2\,min^{-1}[/tex]

The probability that a student arriving at the ATM will have to wait is equal to 1 minus the probability of having 0 students in the ATM (idle ATM).

Then, the probability that a student arriving at the ATM will have to wait is equal to the utilization rate of the ATM.

The last can be calculated as:

[tex]P_{n>0}=\rho=\dfrac{\lambda}{\mu}=\dfrac{1/3}{1/2}=\dfrac{2}{3}=0.67[/tex]

Then, the probability that a student arriving at the ATM will have to wait is 67%.

Answer:

Probability that exactly one person says he or she enjoys the beach = 80%

Check Explanation for how to get this and which error the studemt that made the 100% claim must have made.

Step-by-step explanation:

The simulation presented is that for a series of two people sample.

Numbers 0 to 6 represents that the beach-goer enjoys going to the beach and numbers 7 to 9 represents that the beach-goer doesn't enjoy going to the beach.

So, the simulation is then obtained to be

(5,8) (2,7) (0,9) (0,2) (9,0) (1,9) (4,7) (0,3) (6,7) (7,5)

Using the simulation, estimate the probability that exactly one person says he or she enjoys the beach

From the simulation, the ones with exactly one of the two numbers ranging from 0 to 6 to indicate enjoying going to the beach include

(5,8) (2,7) (0,9) (9,0) (1,9) (4,7) (6,7) (7,5)

The probability of an event is defined and expressed as the number of elements in that event divided by the total number of elements in the sample space.

Probabilty that exactly one person says he or she enjoys the beach = (8/10) = 0.80 = 80%

The student claims that this probability is 100%, but the other two simulations that did not satisfy the condition of exactly one person saying that he or she enjoys the beach include

(0,2) and (0,3), which show that in the two cases, the two participants both expressed enjoying going to the beach.

The student's error must have been in counting these two simulations as part of 'exactly one person saying he or she enjoys the beach' which is indeed an error.

Hope this Helps!!!

Answer:

Both piecewise functions have a linear portion and a quadratic portion.  The y-intercepts of both linear pieces are the same, 2.  The quadratics are both open upward, but have different y-intercepts (one at 1, one at 2).  The linear portion of the first function is decreasing, while the linear portion of the second function is increasing.

Step-by-step explanation:

Comparing and contrast of the functions are shown in below.

A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

The given piecewise functions are;

⇒ f (x) = { - x + 2 ; x < 0

         = { x² + 1 ; x > 0

Now, Comparison and contrast of the above piecewise functions are,

The similarities are;

1) Both piecewise functions are linear when x < 0.

2) Both piecewise functions are quadratic when x > 0.

3) The magnitude the slope of the linear part both function are equal.

4) The leading coefficient of the quadratic function are the same.

5) The y-intercept of the linear function are equal, therefore, the linear functions in f(x) and g(x) intersect on the y-axis.

6) The domain of the linear and quadratic functions are the same.

The contrasts (differences) in the function are;

1) The slope of the linear function of g(x) is positive and the slope of the linear function of f(x) is negative.

2) The y-intercept of the quadratic function in f(x) is +1, while the y-intercept of the quadratic function in g(x) is +2.

3) The quadratic function in f(x) and g(x) have graphs that do not intersect.

Learn more about the function visit:

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Answer:

1. C

2. A

3. A

Step-by-step explanation:

1. It is the Symmetric Property of Congruence because the definition is literally what it says.

2. Incomplete sentences don't matter as long as you have the right stuff.

3. Step 2 is wrong because it should be Definition of Midpoint.

If Curtis is attempting to defend a step in his proof paragraph. He should apply the symmetric property of congruence so that he can demonstrate that AB=BC and that BC=AB. It's best to choose C.

It is defined as the branch of mathematics that is concerned with the size, shape, and orientation of two-dimensional figures.

A)If Curtis is trying to justify a step in his paragraph proof. Symmetric Property of Congruence that he should use as a result he can show AB=BC therefore BC=AB. Option C is correct.

B)All of the following would make a formal proof incomplete except Incomplete sentences. Option A is correct.

C)Step 2 in the proof has a flaw Because it is not a symmetric property while they show congruency because it must be a midpoint definition. Option A is correct.

Thus, if Curtis is trying to justify a step in his paragraph proof. Symmetric Property of Congruence that he should use as a result he can show AB=BC therefore BC=AB. Option C is correct.

Learn more about geometry here:

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Answer:

U are finding the slope. so the vertical line is ur rise(x value) and the horizontal line is ur y value. Hopefully that helped