If the probability that a person has blood type O+ is 0.35 and you have 40 randomly selectedpeople, about how many would you expect to have blood type O+? What is the standard deviationof the number of people who would have blood type O+ among the 40 people?

The inequality x + m ≤ 510 and the number of miles is 316 miles.

When two expressions are connected by a sign like "not equal to," "greater than," or "less than," it is said to be inequitable. The inequality shows the greater than and less than relation between variables and the numbers.

Given that Mr Estrada's car can travel no more than 510 miles on one full tank of gasoline. After filling up the tank with gasoline, he travelled 194 miles in the car.

Let,

x =  miles already travelled

m =  miles can travel with remaining gas

510 = max. miles can travel on a full tank

The inequality will be written as,

x + m ≤ 510

194 + m ≤ 510

m ≤ 510 - 194

m ≤ 316

Therefore, the inequality x + m ≤ 510 and the number of miles is 316 miles.

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Answer:

5.33lb of candy

Step-by-step explanation:

First, you'd need to set up a proportion.

4 pounds         x poinds

----------- = -------------

9 dollars         12 dollars  

Then, cross multiply.

  9x = 4(12)

  9x = 48

    x = 48/9

And your answer is x = 5.33!

Hope I helped! ☺

Answer:We are given that 4 lb of candies are bought for $9.00

Therefore, the price of 1 lb of candies is:

9/4=2.25

Now the amount of candies that can bought for $12.00 is:

12/2.25=5.3333

Therefore, 5.3333 lb of candies can be bought for $12.00

Step-by-step explanation:

In a report of a quantitative research study, a nurse would expect to find the gaps or conflicts about the phenomenon being studied to be identified in: D. Review of the literature.

A research report can be defined as a publication that is used by a researcher to provide data about a research work after analyzing the information gathered on a particular subject, especially in a summarized or condensed format..

In Science, there are three main types of research report and these include the following:

A review of the literature is also referred to as literature review and it is typically used by a researcher to describe what's known and what isn't known about a phenomenon that is being studied.

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Complete Question:

Where in a report of a quantitative research study would a nurse researcher expect the gaps or conflicts about the phenomenon studied to be identified?

a. Analysis of data

b. Research design

c. Problem statement

d. Review of the literature

Answer:

2

Step-by-step explanation:

Answer:

B: 9

Step-by-step explanation:

1/4(c^3 + d^2)

Plug in -4 for C and 10 for d

1/4((-4)^3 + (10)^2)

(-4)^3 = -64

10^2 = 100

1/4(-64 + 100)

-64 + 100 = 36

1/4(36)

= 36/4 = 9

9 is the final answer.

Answer:

30

Step-by-step explanation:

9r+16=pi5

9r+16=22/7*5

9r+16=15.7

16-15.7=9r

0.3=9r

9r=0.3

r=30

We can see here that the triangles have been attached to the corresponding angles and sides.

(a) ∠A ≅ ∠Y

    ∠B ≅ ∠Z

    ∠C ≅ ∠X

(b) Side AB ≅ Side YZ

    Side AC ≅ Side YX

    Side BC ≅ Side ZY

(c) ΔABC ≅ Δ YZX

Congruent refers to the state of two geometric figures or shapes having the same size and shape. Two figures are congruent if one can be superimposed on the other by a combination of rotation, reflection, and translation.

Congruence is often denoted by the symbol “≅”. Congruence is a fundamental concept in Euclidean geometry, and it applies to many types of geometric figures, including lines, angles, triangles, and polygons.

We can see that the various angles and sides has been shown above.

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Number of cards made from the sheet of paper is 243.

What is square?

Having four equal sides, a square is a quadrilateral. There are numerous square-shaped objects in our immediate environment. Each square form may be recognised by its equal sides and 90° inner angles. A square is a closed form with four equal sides and interior angles that are both 90 degrees. Numerous different qualities can be found in a square.

On the entire sheet of paper, 243 cards were created.

The sheet is described as being 324 cm 144 cm in size.

Measures 324 centimeters in length.

The sheet has a 144-cm width.

We need to determine how many cards with a 16 cm by 12 cm size can be produced from a single sheet of paper.

The paper's size is 324 144.

46656 sq. cm is the size of the paper's surface.

Now, one card is equal to 16 divided by 12.

Currently, the area of a single card is 192 square centimetres.

Hence, Number of cards made from the sheet of paper is 243.

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Answer:

138 Degrees

Step-by-step explanation:

Because it is adjacent to the 42 degrees, just subtract 42 from 180 to get 138 degrees.

Answer:

D+42*=180*

D=180-42

138

Step-by-step explanation:

mark as brainiest please

Option D. The U.S. offers a better deal is the correct optionbfor a pen is priced at £50 in Britain and $70 in the United States, with an exchange rate of £1 = $1.50.

A trader would not make money by buying the pen in Britain and selling it in the United States because the cost of the pen is higher in Britain even after accounting for the exchange rate.

To determine which option is correct, we need to compare the cost of the pen in Britain and the United States, taking into account the exchange rate.

Given:

Cost of the pen in Britain = £50

Exchange rate = £1 = $1.50

Cost of the pen in the United States = $70

To compare the prices, we need to convert the cost of the pen in Britain to dollars using the exchange rate:

Cost of the pen in Britain = £50

Cost of the pen in dollars = £50 * $1.50 = $75

Now, we can compare the cost of the pen in the United States and the converted cost in Britain:

Cost of the pen in the United States = $70

Cost of the pen in Britain (converted to dollars) = $75

Comparing these values, we can see that the cost of the pen in Britain, even after converting it to dollars, is higher than the cost of the pen in the United States.

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The complete question is:

A pen is priced at £50 in Britain and $70 in the United States, with an exchange rate of £1 = $1.50. Which statement is correct?

A. A trader can profit by purchasing the pen in Britain for £50 and selling it in the United States for $70.

B. The pricing is identical in both countries.

C. Britain provides a more favorable offer.

D. The United States offers a better deal.

Answer:  I don't know i'm taking a benchmark about that question an that pop up

Step-by-step explanation:

Answer:

Step-by-step explanation:

Therefore, you would multiply 48/1 * 3/8 and that will give you your answer. 48/1 * 3/8 = 144/8, which is 144 divided 8. And that comes out to be 18, so Deshanwn saved $18.

Hope this helps

Answer:

Step-by-step explanation:

3245

The area for the given figure by using distributive property is 5y+35.

What is Area of rectangle?

Area of rectangle can be defined as the product of length and breadth .

From the Given figure,

We have to find the area of rectangle

so,

There is one small rectangle inside that,

So,

total area = area of small rectangle + area of larger rectangle

area = 5*y + 7*5

So by summing up the area of two rectangles

we get,

Total area = 5y+ 35

Therefore, The area for the given figure by using distributive property is 5y+35.

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Answer:

17/15

Step-by-step explanation:

Sec A = 1/ Cos A

Cos A = Adjacent / Hypotenuse

1/Cos A = Hypotenuse / Adjacent

So, Sec A = Hypotenuse/Adjacent

= AB/AC

= 17/15

Answer:

17/15

Step-by-step explanation:

Secant is the inverse of cosine.

Cosine is the adjacent side divided by the hypotenuse.

cos A = 15/17

sec A = 17/15

The back-to-back stem-and-leaf plot or parallel boxplots can be use to compare. GPAs for successful students are generally higher. A significant relationship exists between GPA and credit hours for successful students. An applicant with a 3.5 GPA is likely to be successful, as the predicted value is closer to successful students' values.

To compare the GPAs for the two groups, an appropriate graphical display could be a back-to-back stem-and-leaf plot or parallel boxplots. Based on the graph, we can observe that successful students generally have higher GPAs than unsuccessful students.

To determine if there is a significant relationship between GPA and mean number of credit hours per semester for successful students, we can use a t-test for the slope or linear regression t-test.

Given the provided computer output, with a t-value of -5.90 and a p-value of 0.000, we can reject the null hypothesis and conclude that there is a significant relationship between GPA and mean number of credit hours per semester for successful students.

Using the regression equation to predict the number of credit hours for an applicant with a GPA of 3.5,

For the successful group predicted hours = 23.514 – 2.7555(3.5) = 13.86975

For the unsuccessful group predicted hours = 24.200 – 3.485(3.5) = 12.0025

we get a predicted value of 13.86975 for successful students and 12.0025 for unsuccessful students.

Since the actual value of 14 is closer to the predicted value for successful students, we can infer that this applicant is likely to be successful in the Ph.D. program.

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--The given question is incomplete, the complete question is given

" The statistics department at a large university is trying to determine if it is possible to predict whether an applicant will successfully complete the Ph.D. program or will leave before completing the program. The department is considering whether GPA (grade point average) in undergraduate statistics and mathematics courses (a measure of performance) and mean number of credit hours per semester (a measure of workload) would be helpful measures. To gather data, a random sample of 20 entering students from the past 5 years is taken. The data are given in photo.

a. Use an appropriate graphical display to compare the GPAs for the two groups.(provide names only) Write a few sentences commenting on your display.

b. For the students who successfully completed the Ph.D. program, is there a significant relationship between GPA and mean number of credit hours per semester?

Give a statistical justification to support your response.

c. If a new applicant has a GPA of 3.5 and a mean number of credit hours per semester of 14.0, do you think this applicant will successfully complete the Ph.D. program? Give a statistical justification to support your response. "--

The weaker inequality 1/2 · 3/4 ··· 2n-1/2n < 1/√(3n) holds for all positive integers n, but using mathematical induction, the basis step works, although the inductive step fails.

a) If we try to prove the inequality 1/2 · 3/4 ··· 2n-1/2n < 1/√(3n) using mathematical induction, we can see that the basis step works. When n = 1, we have 1/2 < 1/√3, which is true.

Now, let's consider the inductive step. Assuming that the inequality holds for some positive integer k, we need to show that it also holds for k+1, i.e., we assume 1/2 · 3/4 ··· 2k-1/2k < 1/√(3k) and we want to prove 1/2 · 3/4 ··· 2k-1/2k · (2k+1)/(2k+2) < 1/√(3k+3).

If we attempt to manipulate the expression, we can simplify it to (2k+1)/(2k+2) < 1/√(3k+3). However, we cannot proceed further to prove this inequality, as it is not necessarily true. Therefore, the inductive step fails, and we cannot establish the original inequality using mathematical induction.

b) However, mathematical induction can still be used to prove the stronger inequality 1/2 · 3/4 ··· 2n-1/2n < 1/√(3n+1) for all integers greater than 1. We can start by verifying the case where n = 1, which gives us 1/2 < 1/√4, which is true.

Now, assuming the inequality holds for some integer k, we can multiply both sides of the inequality by (2k+3)/(2k+2) to get:

(1/2 · 3/4 ··· 2k-1/2k) · (2k+3)/(2k+2) < 1/√(3k+1) · (2k+3)/(2k+2).

Simplifying the expression on both sides, we have:

(2k+3)/(2k+2) < 1/√(3k+1) · (2k+3)/(2k+2).

We can observe that the right side of the inequality is less than 1/√(3k+3) by multiplying the denominator of the right side by (2k+3)/(2k+3). Hence, we obtain:

(2k+3)/(2k+2) < 1/√(3k+3).

This establishes the inequality for k+1, and thus, we have proven the stronger inequality using mathematical induction.

By verifying the case where n = 1 separately, we can conclude that the weaker inequality 1/2 · 3/4 ··· 2n-1/2n < 1/√(3n) holds for all positive integers n, as it follows from the proven stronger inequality using mathematical induction.

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The absolute minimum value of f(x, y) is -16, occurring at the points (7, 0) and (7, 10). Therefore, the minimum value is -16.

To find the absolute minimum and absolute maximum of the function f(x, y) = 6 - 4x + 7y on the closed triangular region with vertices (0, 0), (7, 0), and (7, 10), we need to evaluate the function at the critical points and the boundary of the region.

Critical points: To find critical points, we need to take the partial derivatives of f(x, y) with respect to x and y and set them equal to zero.

∂f/∂x = -4 = 0

∂f/∂y = 7 = 0

Since there are no solutions to these equations, there are no critical points within the region.

Boundary of the region: We need to evaluate the function at the vertices and on the sides of the triangle.

Vertices:

f(0, 0) = 6 - 4(0) + 7(0) = 6

f(7, 0) = 6 - 4(7) + 7(0) = -16

f(7, 10) = 6 - 4(7) + 7(10) = 60

Sides:

Side 1: From (0, 0) to (7, 0)

y = 0

f(x, 0) = 6 - 4x + 7(0) = 6 - 4x

The minimum occurs at x = 7 with a value of -16.

Side 2: From (0, 0) to (7, 10)

y = (10/7)x

f(x, (10/7)x) = 6 - 4x + 7((10/7)x) = 6 - 4x + 10x = 6 + 6x

The minimum occurs at x = 0 with a value of 6.

Side 3: From (7, 0) to (7, 10)

x = 7

f(7, y) = 6 - 4(7) + 7y = -22 + 7y

The minimum occurs at y = 0 with a value of -22.

From the above evaluations, we can conclude:

The absolute minimum value of f(x, y) is -16, occurring at the points (7, 0) and (7, 10).

The absolute maximum value of f(x, y) is 60, occurring at the point (7, 10).

Therefore, the minimum value is -16.

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SOLUTION

We want to use the information in the diagram to prove that

Now, we have been given for number 1

2.

3.

4.

5.

6.

7.

8.

9. and 10. is good (correct)

11.

12.

13.

14.

Step-by-step explanation:

x=20

x aris is stright .right?

An equivalent function can be written as \(G(t) = 1920 \times 2^t\)

What is equivalent fraction?

Fractions that represent the same amount or portion of a whole, but have different denominators and numerators is called Equivalent fractions.

They are equal in value, but may have different forms.

We can multiply or divide both the numerator and the denominator of a fraction by the same number for find equivalent fractions.

Some examples are 2/4 is equivalent to 1/2 because if you divide both the numerator and the denominator of 2/4 by 2, you get 1/2.

Starting from the given function, we can simplify it as

\(G(t) = 960(2^t + 1) \\ G(t) = 960 \times 2^t \times 2^1 \\ G(t) = 1920 \times 2^t\)

We can see that this function is of the form

\(G(t) = ab^t\)

where a = 1920 and b = 2.

Therefore, an equivalent function can be written as \(G(t) = 1920 \times 2^t\)

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Answer:

\( \frac{dh}{dt} = - 32t + 64 = 0 \\a) \: t = \frac{ - 64}{ - 32} = 2 \\ \\ b = - 16 \times 4 + 64 \times 2 + 6 = - 64 + 2 \times 64 + 6 = 64 + 6 = 70\)

Answer:

a) t = 2 seconds

b) 70 feet

Step-by-step explanation:

First of all, we are going to take the derivative of the function (which is a displacement function) to make find its velocity function.

\(h(t) = -16t^{2} +64t+6\)

To find the derivative of the equation, we must multiply the coefficient by the exponent and then minus one from the exponent for each term.

\(v(t)=(-16)(2)t^{2-1} +64(1)t^{1-1}+6(0)t^{0-1} \\v(t) = -32t +64\)

Now we can substitute in v=0

This is because the ball is at the top of its parabola path, it is the turning point and the slope is 0. The velocity physically speaking would also be 0 at the very top of its path.

\(0=-32t+64\)

Rearrange and we get:

\(32t = 64\\t=2\)

Ball attains maximum height at 2 seconds.

To find the maximum height, we now just have to substitute back in the time into the original equation to find the height.

\(h(t) = -16t^{2} +64t+6\)

\(h(2) = -16(2)^{2} +64(2)+6\\h(2)=-64+128+6\\h(2) = 70\)

The maximum height attained is 70 feet.

Hope this helped!

30.6% of survey respondents do not like both hamburgers and burritos, with the strongest association being that customers who like hamburgers are more likely to not like burritos.

Part A: The number of survey respondents that do not like hamburgers is 205 - 81 = 124.

Of these 124 respondents, 38 do not like burritos as well, so the percentage of respondents that do not like both hamburgers and burritos is 38 / 124 * 100% = 30.6%.

Part B: The marginal relative frequency of all customers who like hamburgers is 81 / (81 + 205) = 28.2%.

Part C: The conditional relative frequency of customers that like burritos given they like hamburgers is 49 / 81 = 60.5%.

The conditional relative frequency of customers that do not like burritos given they like hamburgers is 32 / 81 = 39.5%.

The conditional relative frequency of customers that like hamburgers given they like burritos is 49 / 141 = 34.8%.

The conditional relative frequency of customers that do not like hamburgers given they like burritos are 92 / 141 = 65.2%.

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The total probability of a girl having a "K-name" is 3/8. The total probability of there being a girl in the club is 5/8.

Therefore, the conditional probability of having a girl with a "K-name" given that there is a girl in the club can be calculated as follows:

P (Girl | K-name) = P (K-name | Girl) × P (Girl) / P (K-name) = 2/5 * 5/8 / 3/8 = 2/3

Therefore, the probability of a girl with a K-name given that there is a girl in the club is 2/3.

In a club consisting of 5 girls (Kirsten, Sarah, Suzie, Monica, and Katie) and 3 boys (Kevin, Steve, and Samuel), we are asked to find P(Girl | K-name).

We can use Bayes' theorem to calculate the conditional probability of this event. This theorem states that the probability of an event given another event can be calculated as the product of the probability of the second event Therefore, the probability of a girl having a "K-name" given that there is a girl in the club is 2/3.

The conditional probability of there being a girl in the club given that a girl has a K-name is 2/3.

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As per the information provided, a = 4√3/3 + 4, b = 4 - 4√3/3 the answer can be calculated with optimization method. it will be as follows:

Sum of a and b is 8, we get

a+b=8

b=8−a

Now, let x=a−b

Then we get,

\(x=a−(8−a) \\ x=2a−8 \\ x+8=2 \\ 1 \div 2x+4=a

\)

we use this to answer to solve for b

\(b=8−a \\ =8−(1 \div 2x+4) \\ =4−1 \div 2x

\)

Now we use the product of two numbers and its difference. This can be expressed as:

\(a⋅b⋅x=(1 \div 2x+4)(4−1 \div 2x) \\ x=2 {x}^{2} − \frac{1}{4} {x}^{3} +16x−2x^{2} \\ =−14x^{3} +16x

\)

Thus, this expression that we need to maximize. Take the derivative, set it equal to zero, and solve for x

\(−3 \div 4x ^{2} +16=0 \\ 16 =3 \div 4 x ^{2} \\ 643=x \\ 28√3 \div 3=x\)

Now for us to check that this is a maximum, we have to note that the second derivative is

\(−3 \div 2x

\\ At \\

x=8√3 \div 3

\)

the second derivative is −4√3. Since this number is negative, the point is a maximum.

Now we must find the values of a and b for this x. We have to use the relationship

\(a=1 \div 2x+4\)

\(a=1 \div 2 \times 8√3 \div 3+4 \\ =4√3 \div 3+4\)

now we use the relationship b=8−a

\(b=8−(4√3 \div 3+4) \\ =4−4√3 \div 3\)

The first step in determining a function's maximum or minimum value is differentiating it. Then, set this derivative to zero and conduct the computation.

x. This will reveal the location of a function's maximum or minimum, but it won't reveal which.

Take the second derivative to get more details. A local maximum occurs when both the first and second derivatives are negative. You have a local minimum when both the first derivative and the second derivative are zero.

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Answer:

irrationol

Step-by-step explanation:

Answer:it is irrationall

Step-by-step explanation:

Answer:the answer of your question is 10

Step-by-step explanation:

the answer is two :D

Answer:

no

Step-by-step explanation:

57 isnt a prime number

Answer:

Step-by-step explanation:

Three times the difference between a number and six is eighteen:

Number be x

The equation is

\(\dfrac 12 \div \dfrac 7{16}\\\\\\=\dfrac 12 \times \dfrac{16}7\\\\\\=\dfrac{16}{14}\\\\\\=\dfrac{8\times 2}{7 \times 2}\\\\\\=\dfrac 87\)