Gabriel and his friends went into a restaurant and they want to buy some chicken wings and tacos. Each chicken wing costs $0.50 and each taco costs $2.00. How much would it cost to buy 30 chicken wings and 4 tacos? How much would it cost to buy c chicken wings and t tacos?​

0.529 is the probability that a student does not have a college degree.

From the information given, we know that:

The formula for conditional probability:

P(A|B) = P(A and B) / P(B)

Let A be the event of not having a college degree, and B be the event of being married. We want to find P(A).

Using these values, we can calculate:

P(college degree and B) = (1/2) * (400/850) = 0.235

P(A and B) = 310/850 - 0.235 = 0.07

Finally, we can calculate P(A) using the formula for total probability:

P(A) = 1 - P(college degree)

= 1 - (400/850)

= 0.529

Therefore, the probability that a student does not have a college degree is 0.529.

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Answer:

Step-by-step explanation:

Using a standard normal table, we can find the area under the curve between 1.20 and 1.85 to be approximately 0.4678. Therefore, the answer is (c) 0.4678.

Answer:

Yes,  k is lower bound for the real zeros of the function.

Step-by-step explanation:

Lower Bound Theorem:

If you divide a polynomial function f(x) by (x - k), where k < 0, using synthetic division and this yields alternating signs, then k is a lower bound to the real roots of the equation f(x) = 0.

Given;

4x³ - 2x² + 2x + 4

k = -1

synthetic division;

-1 ]    4       -2        2        4

        ↓         -4        6       -8

---------------------------------------------

        4         -6       8          -4  

(the result has alternating signs, hence k is lower bound)

Thus, k is lower bound for the real zeros of the function.

Answer:

i think its 62.5%

Step-by-step explanation:

have a good day :)

Answer:

37.5%

Step-by-step explanation:

Ok I always do these problems in a weird way cuz im autistic but here's my process...

10% of 40 is 4

5% of 40 is 2

2.5% of 40 is 1

4 goes in to 25 6 times

4x6=24

which is one less than 25

so there's six 10%s which is 60%

plus the extra 2.5%

so it's 62.5%

so the item is 37.5% off...

Answer:

b>5 or b<3

(i hope this helps)

The given linear regression model wages = β0~ + β1~ Education + u~ aims to explain the relationship between wages and education level.

To determine if this model accurately measures the returns to education, we need to consider a few factors.
1. Assumptions: Linear regression models rely on several assumptions, such as linearity, independence, homoscedasticity, and normality of residuals. Violation of these assumptions can affect the accuracy of the model's estimates. It is important to check if these assumptions hold in the context of the wages and education relationship.

2. Significance of β1: The coefficient β1 represents the estimated effect of education on wages. A statistically significant and positive β1 indicates that an increase in education level is associated with higher wages. However, if β1 is not statistically significant, it suggests that education may not have a significant impact on wages.

3. Magnitude of β1: Even if β1 is statistically significant, the magnitude of the coefficient is essential in measuring the returns to education accurately. A larger β1 implies a higher increase in wages for each additional unit of education. Conversely, a smaller β1 suggests a lower return to education.

4. Control Variables: The model may need to consider other factors that could influence wages, such as experience, gender, or industry. By including relevant control variables, the model can better isolate the effect of education on wages and provide a more accurate measure of returns.

5. Data Quality: The accuracy of the model's estimates relies on the quality and representativeness of the data used. The dataset should encompass a wide range of education levels, wages, and relevant variables to obtain robust and reliable estimates.

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(a). The pKa value is 4.50.

(b). The concentration ratio 0.316

(c).  0.157 mol  of strong base were initially added

How to find pKa value?

a) To calculate the pKa value of the acid, you can use the formula:
pKa = -log(Ka)
pKa = -log(3.15 × 10^(-5))
pKa ≈ 4.50
To determine the number of moles of acid initially present, use the formula:
moles = concentration × volume
moles = 0.400 M × 0.575 L
moles ≈ 0.230 mol

How to find the concentration ratio?
b) To find the concentration ratio of conjugate base to acid, use the formula:
pH = pKa + log([A-]/[HA])
Rearrange the equation to solve for the ratio:
[A-]/[HA] = 10^(pH - pKa)
[A-]/[HA] = 10^(4.00 - 4.50)
[A-]/[HA] ≈ 0.316

How to find the moles?
c) To find the moles of strong base initially added, you can use the change in moles of the acid and its conjugate base:
moles_added = moles_initial * (1 - [A-]/[HA])
moles_added = 0.230 mol * (1 - 0.316)
moles_added ≈ 0.157 mol

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Answer:

x < 5/9

Step-by-step explanation:

Answer: x < 5/9

Step-by-step explanation:

36x < 20 (divide both sides by 36)

x < 20/36 (simplify the fraction)

x < 5/9

To create a stemplot, we first need to separate the data into "stems" and "leaves." Each stem represents the first digit(s) of each data point, while each leaf represents the last digit(s). For example, if the data point is 12.3, the stem would be 12 and the leaf would be 3.

To make a stemplot, the data should be arranged in increasing order, and then separated into stems and leaves.

However, you can use the data given and arrange it in increasing order and separate it into stems and leaves to make a stemplot. A stemplot is a good way to check if the data follow a normal distribution quite closely, the more the data is spread out and the more symmetric it is, the more likely it is to follow a normal distribution.

Also, it is important to mention that from the given data, it is not possible to conclude if the percent change in this population has standard deviation of 2.5%. This parameter can only be estimated from a sample if it follows a normal distribution which is not clear from the given data.

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The given statement "As the level of confidence increases the number of item to be included in a sample will decrease when the error and the standard deviation are held constant." is False because error increases.

As the level of confidence increases, the required sample size will increase when the error and standard deviation are held constant.

This is because as the level of confidence increases, the range of the confidence interval also increases, which requires a larger sample size to ensure that the estimate is precise enough to capture the true population parameter with the desired level of confidence.

For example, if we want to estimate the mean height of a population with a 95% confidence interval and a margin of error of 1 inch, we would need a larger sample size than if we were estimating the same mean height with a 90% confidence interval and the same margin of error.

The larger sample size ensures that the estimate is more precise and that we have a higher level of confidence that it captures the true population parameter.

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The  total distance it flies, rounded to the nearest mile is: d. 1,692 miles .

First distance= 550 miles (given)

Second distance=483 miles (given)

Now let find the third distance

Let x represent the third distance

Hence:

x/sin79 = 550/sin55

x= 659.1

Now let calculate the total distance

Total distance=550+483+659.1

Total distance= 1692.1

Total distance= 1692 miles (rounded)

Therefore the correct option is d.

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Answer:

Tabled Function

Step-by-step explanation:

To determine which function is increasing the fastest over the interval [-5, 3], we need to calculate and compare each function's average rate of change over the given interval.

The average rate of change of function f(x) over the interval a ≤ x ≤ b is given by:

\(\dfrac{f(b)-f(a)}{b-a}\)

Given interval:  -5 ≤ x ≤ 3

Therefore, a = -5  and  b = 3

\(f(3)=7\)

\(f(-5)=-17\)

\(\implies \textsf{Average rate of change}=\dfrac{f(3)-f(-5)}{3-(-5)}=\dfrac{7-(-17)}{3+5}=3\)

\(f(3)=(3)^2-2=7\)

\(f(-5)=(-5)^2-2=23\)

\(\implies \textsf{Average rate of change}=\dfrac{f(3)-f(-5)}{3-(-5)}=\dfrac{7-23}{3-(-5)}=-2\)

From inspection of the graph:

\(f(3)\approx8\)

\(f(-5) \approx 0\)

\(\implies \textsf{Average rate of change}=\dfrac{f(3)-f(-5)}{3-(-5)} \approx \dfrac{8-0}{3-(-5)}=1\)

Therefore, the Tabled Function has the greatest average rate of change in the interval [-5, 3] and so it is increasing the fastest.

Answer:

12

Step-by-step explanation:

it’s 12 because 4 x 3 = 12

Answer:

are you sure it is not 180? if it is it is 12.87

but if it is 238 it is 21 days or something close

The point on the plane 4x - y + 4z = 40 nearest the origin is (-3.048, -0.762, 6.467)

Given data ,

To find the point on the plane 4x - y + 4z = 40 nearest the origin, we need to minimize the distance between the origin and the point on the plane.

The normal vector to the plane 4x - y + 4z = 40 is given by (4,-1,4). To find the perpendicular distance from the origin to the plane, we need to project the vector from the origin to any point on the plane onto the normal vector. Let's choose the point (0,0,10) on the plane:

Vector from origin to (0,0,10) on the plane = <0-0, 0-0, 10-0> = <0,0,10>

Perpendicular distance from the origin to the plane = Projection of <0,0,10> onto (4,-1,4)

= (dot product of <0,0,10> and (4,-1,4)) / (magnitude of (4,-1,4))

= (0 + 0 + 40) / √(4^2 + (-1)^2 + 4^2)

= 40 / √(33)

To find the point on the plane nearest the origin, we need to scale the normal vector by this distance and subtract the result from any point on the plane. Let's use the point (0,0,10) again:

Point on the plane nearest the origin = (0,0,10) - [(40 / √(33)) / √(4^2 + (-1)^2 + 4^2)] * (4,-1,4)

= (0,0,10) - (40 / √(33)) * (4/9,-1/9,4/9)

= (0,0,10) - (160/9√(33), -40/9√(33), 160/9√(33))

= (-160/9√(33), -40/9√(33), 340/9√(33))

Hence , the point on the plane 4x - y + 4z = 40 nearest the origin is approximately (-3.048, -0.762, 6.467)

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The equation to predict how many hours, x, the second part of the trip will take is :x = (total distance - distance traveled in the first part) / average speed x = (125 - 75) / 50  x = 1

To predict how many hours, x, the second part of the trip will take, we can use the equation:

x = (total distance - distance traveled in the first part) / average speed

In this case, the total distance of the trip is 125 miles, and the distance traveled in the first part is the product of the average speed and the time taken for the first part, which is 50 miles/hour * 1.5 hours = 75 miles.

Substituting these values into the equation, we have:

x = (125 - 75) / 50

Simplifying the equation, we get:

x = 50 / 50

x = 1

Therefore, the equation to predict how many hours, x, the second part of the trip will take is:

x = (total distance - distance traveled in the first part) / average speed

x = (125 - 75) / 50

x = 1

This means that the second part of the trip will take 1 hour to complete after the bus stops to refuel.

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There are 33 short-answer questions on the test and 33 * 4 = 132 points are from short-answer questions.

What is algebra ?

Algebra is a branch of mathematics in which letters and symbols are used to represent numbers and quantities in equations and formulas. Algebraic concepts include operations such as addition, subtraction, multiplication, and division.

We know that the test has 75 questions and it is worth 216 points total.

We know that multiple-choice questions worth 2 points each and short answer questions worth 4 points each.

To calculate the number of points from short-answer questions, we need to find out how many questions are short-answer and multiply that by 4 (points per question).

Let x be the number of short-answer questions.

We know that x + 75 - x = 75, which is the total number of questions on the test.

Also, we know that x * 4 + (75-x) * 2 = 216, which is the total number of points on the test.

Solving for x, we get:

x * 4 + 150 - 2x = 216

2x = 66

x = 33

So there are 33 short-answer questions on the test and 33 * 4 = 132 points are from short-answer questions.

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Answer:

Step-by-step explanation:

Distribute:

=(62)(9.22)+(36(2d+8)(2d−8))(9.22)+(−6p)(9.22)+(92)(9.22)+(36)(9.22)+−36

=571.64+1327.68d2+−21242.88+−55.32p+848.24+331.92+−36

Combine Like Terms:

=571.64+1327.68d2+−21242.88+−55.32p+848.24+331.92+−36

=(1327.68d2)+(−55.32p)+(571.64+−21242.88+848.24+331.92+−36)

=1327.68d2+−55.32p+−19527.08

this is what I got I'm sorry

5 is the missing value of x.

From the intersecting of two chords theorem,

Given angle= 14x-1

Arcs are 13x+8, 65°

From the theorem,

14x-1 = (13x+8 + 65)/2

14x-1 = (13x+73)/2

28x-2=13x+73

15x=75

x= 5

Therefore, the value of x will be 5 for the given figure.

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Answer:

............................

Answer:

black

black

Step-by-step explanation:

Answer:

1/3

Step-by-step explanation:

There are 12 students in total and 4 liked Midsummer Night's Dream

Therefore 4 out of the 12 students like the play the best which can be represented in a fraction

4/12 - When you represent this as a fraction, it is also the probality, when randomly selected, a Shakespeare student likes the play the best.

This probability can then be simplified by dividing the denominator and numerator by 4

4/4 = 1 and 12/4 = 3

So, the answer is 1/3

The probability of getting a black ball is 5/13, if odds of choosing one black ball fron urn are 5 to 8.

According to the given question.

The odds of choosing one black ball from an urn are 5 to 8.

As we know that "the odds for an event is the ratio of the favorable outcomes to the unfavorable outcomes".

Therefore,

The favorable outcomes of getting black ball = 5

Unfavorable outcomes of getting black ball = 8

So, total outcomes = 5 + 8 = 13

Thereofre,

The probability of getting a black ball

= favorable outcomes/ total number of outcomes

= 5/13

Hence, the probability of getting a black ball is 5/13.

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Answer:

x = 5

Step-by-step explanation:

4x + 17 = 12x - 23

23 + 17 = 12x - 4x

      40 = 8x

       8      8

       5  =  x

The value of x should be 5.

A parallelogram is a quadrilateral with opposite sides parallel (and therefore opposite angles equal).

As, to from the square using the dimension of parallelogram the value of x should be 5

as the side of square is equal.

4x + 17 = 12x - 23

23 + 17 = 12x - 4x

40 = 8x

5  =  x

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Answer:

A) 15x+9x

B) you have to graph

C)yes, all she wants to do is make 90 bucks she can totally do more if she wants

D) you can choose

Step-by-step explanation:

15*12 & 9*12

Answer:

( x+2)^2 + ( y+2) ^2 = 9

Step-by-step explanation:

The center is at (-2,-2)

The radius is 3  which is the number of units from the center to the circles edge

The equation of a circle can be written as

( x-h) ^2 + (y-k) ^2 = r^2  where ( h,k) is the center and r is the radius

( x--2) ^2 + (y--2) ^2 = 3^2

( x+2)^2 + ( y+2) ^2 = 9

Answer:

False

Step-by-step explanation:

The equation says 21 is greater than or equal to 27, so it is false