There are 37 flowers on each quilt. How many flowers are there on 98 quilts?

Answer:

y = 40 + z

Step-by-step explanation:

Since we want to know how much wrapping paper he used in square centimeters, we want to figure the total surface area of the gift box.

Since it is a square pyramid, the triangles of the sides are all congruent, and the base is a square.

So, tha area of the square base is the multiplication of its sides, which are equal:

For the triangles, we can clauclate the area of one of them and multiply by 4 to get the area of all. The area of a triangle is its base multiplyed by its height divided by 2. The height is given and the base is the same as the square sides. So the area of 1 triangle is:

So, the tota area is the area of the square plus 4 times the area of one triangle:

This is already in the proper unit, so the area is 265.05 cm².

Answer:

x = 36

Step-by-step explanation:

Answer:

slope is = -1/2

Step-by-step explanation:

y2-y1= 2-0= 2

x2-x1= -3-1= -4

2/-4= -1/2

Answer:

A. Sample space = 6

B. 0.17

C. No

D. Yes

Step-by-step explanation:

A. The sample space of an experiment is the set of all possible outcomes of that experiment.

since there are three colours and 2 outcomes for a coin toss,

sample space = 3 * 2 = 6

B. Probability of picking a green first = 4/12 = 1/3

probability of a tail = 1/2

Probability of a green and a tail, P(A) = 1/3 * 1/2 = 0.17

C. No.

Considering the two events;

A; green card is picked first

C ; a green or red card is picked

There is an intersection point for the two events.  Therefore, they are not mutually exclusive.

D. Yes.

Considering the two events;

A; green card is picked first

B ; a blue or red card is picked

There is no intersection point for the two events. Therefore, they are mutually exclusive.

The height of the second square base prism is 50 cm.

The volume of the first square base prism is represented as follows:

v = ha²

where

Therefore, the height of the prism is 10 cm.

v = 10a²

Hence, the volume of the initial prism is 5 times the volume. Therefore,

v = 5(10a²)

v = 50a²

Therefore,

50a² = ha²

divide both sides by a²

50a² / a² = ha² / a²

50 = h

h = 50  cm

Therefore, the height of the second square base prism is 50 cm.

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The statement also says that t finishes after p and before q. This means that t cannot have finished third, as that position is already occupied by q.

In a race involving five runners, p, q, r, s, and t, it is possible to deduce the order of finish based on the information given. According to the statement, p beats q and p beats r, indicating that p finished first in the race. Additionally, q beats s, so q must have finished second.

Therefore, t must have finished either fourth or fifth.One could also deduce that T could not have finished fourth in the race.

As T finishes before Q who is in the 2nd place and after P who is in the first place.It is important to note that this conclusion is based on the information given and cannot be confirmed without additional information.

For example, if it were specified that t finished just milliseconds after p and just before q, it would not be possible to determine whether t finished fourth or fifth.

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Answer:

top answer is -23

bottom answer is -2

Answer:

6.79

Step-by-step explanation:

Answer:

6.79

Step-by-step explanation:

when timesing move the decimal to the left 1 because there is one 0

Answer:

what is the question

Step-by-step explanation:

.......

Answer:

x=0

Step-by-step explanation:

8(4x-4)=-5x-32

32x-32=-5x-32

37x=0

x=0

Answer:

Step-by-step explanation:

Ok:

1. This is a percent problem!

45/100*15=

675/100=

6.75

2. Subtract:

15-6.75=

8.25$

Answer: 8.25$

As per the 95% confidence interval, the true average age of all students in the university is approximately 23 to 24.

Confidence interval

Confidence interval means the interval calculation, obtained from the observed data that holds the actual value of the unknown parameter.

Given,

A random sample of 64 students at a university showed an average age of 23 years and a sample standard deviation of 3 years.

And we need to find the 95% confidence interval for the true average age of all students in the university.

While we looking through the given question we have identified the following,

Number of samples = 64

Average age = 23

Standard deviation = 3

Confidence interval = 95%

Based on this confidence interval, the z score is 1.96

According to the formula,

u = 23 ± 1.96 x 3/√64

u = 23  ± 1.96 x (3/8)

u = 23  ± 1.96 x 0.375

u = 23  ± 0.735

u = 23.735, 22.635

Therefore, the average age of the student is approximately 23 to 24.

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Step-by-step explanation:

Parallelogram formula: \(A=b(base)h(height)\)

The value 6 is meant to trick you.

The height is 7, and the base is 10 1/4.

Multiply the base and height:

\(7 \times 10\frac{1}{4} = 71\frac{3}{4}\)

The area equals: \(71\frac{3}{4}\) \(ft^{2}\)

Answer: Approximately 904

volume = (4/3) · π · r³

(4/3) · 3.14 · 6³ = (4/3) · 3.14 · 216 = (4/3) · 678.24 = 904.32 ≈ 904

Answer:

904 units^3

Step-by-step explanation:

The formula for finding the volume of a sphere is V = 4/3 πr³

π is assumed to be 3.14, and the radius is 6.

V = 4/3 * 3.14 * 216

V = 4.18666666 * 216

Volume = 904.32, which can be rounded to 904 units cubed

Answer:

They are The Same if you note 1 square = 1 square cm,They all are 10square cm

we need 31/2 pounds mirepoix to make 31/2 gallons of soup.

let we need x% (percent) of mirepoix to make 1 gallon of soup

given we have 1 pound of mirpoix which yeilds 1 gallon soup of soup

so total amount of mirepoix that required in the solution is = \(\frac{x}{100} *1 pound\)

so x/100 = 1 gallon / pound

we will use this equation for further calculation

let we need y pounds of mirepoix to make 31/2 gallon of soup  ans we know that x% of mirepoix is required for this solution.

so \(\frac{x}{100} * y = 31/2\)

ans in the above equation x/100 =1 gallon / pound

so  1 * y= 31 /2

and hence y = 31/2 pounds

so we need 31/2 pounds of mirepoix to form requied amount of soup.

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There isn't enough evidence to indicate that the percentage of Americans who own American-made cars is more than 53 percent.

A representative of a car manufacturer in the United States claimed that 53 percent of Americans owned American-made cars ten years ago.

However, today, the percentage is higher.

A research group conducted a study to find out whether the statement was true.

They found out that 56 percent of a random sample of car owners in the United States owned American-made cars. The appropriate hypothesis test produced a p-value of 0.283.

Assuming the conditions for inference were satisfied, is there sufficient evidence to conclude, at the level of significance of α = 0.05

At α = 0.05, we want to see if there is enough evidence to reject the null hypothesis.

Therefore, since α = 0.05, the null hypothesis (H0) should be tested against the alternative hypothesis (Ha).

H0: μ ≤ 0.53 (The percentage of Americans who own American-made cars is no higher than 53%).

Ha: μ > 0.53 (The percentage of Americans who own American-made cars is higher than 53%).

It is clear that the researcher's claim was not supported by the evidence since the p-value of 0.283 was far above the significance level of α = 0.05.

Therefore, there is no statistically significant evidence to reject the null hypothesis (H0).

The research group discovered that 56 percent of a randomly selected sample of car owners in the United States owned American-made cars.

The null hypothesis states that the percentage of Americans who own American-made cars is no higher than 53 percent.

Since the p-value was greater than 0.05, we failed to reject the null hypothesis.

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Answer:

(13, 5)

Step-by-step explanation:

The coordinate of the vertex will be

Coordinates are a set of values which helps to show the exact position of a point in the coordinate plane.

A coordinate plane is a 2D plane which is formed by the intersection of two perpendicular lines known as the x-axis and y-axis.

Given:

we have the coordinates of hexagon here, the vertices are as follows

(2, 5), (5, 1), (5, 9), (10, 1) and (10, 9)

As, the five vertices are given.

Now, we have to find the sixth vertex can be insight of vertex y=5 to get the equal length of side.

Thus, the vertex of last coordinate is (5, 13)

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Answer:

l = 40 m

Step-by-step explanation:

The formula for area of a rectangle is

A = lw, where

Step 1:  Since we're given the area and width, we plug in these two values for A and w and to solve for l (length):

360 = 9l

Step 2:  Divide both sides by 9 to solve for l

(360 = 9l) / 9

40 m = l

Optional Step 3:  We can check our answers by checking that the product of 40 and 9 is 360

40 * 9 = 360

360 = 360

Answer:

f

Step-by-step explanation:

from what i know you do division first so when you do that you get

.83 repeasted add theat to 46 and you ger 45.83 with the three repeated

Answer:

To write 45 as a fraction with a common denominator, multiply by 6/6.

45⋅6/6+5/6=50

Combine 45 and 6/6.

(45⋅6)/6+5/6=50

Combine the numerators over the common denominator.

(45(6+5))/6=50

Simplify the numerator.

275/6=50

Step-by-step explanation:

The amount owed at the end of that period is given as follows:

$334.

An exponential function is modeled as follows:

y = ab^x.

In which:

For a decreasing exponential function, the rate of change b is given as follows:

b = 1 - r.

In which r is the decay rate.

The parameters for this problem are given as follows:

a = 390, r = 0.05, b = 0.95.

Hence the function giving the amount owed after x months is given as follows:

y = 390(0.95)^x.

After three months, the amount owed is given as follows:

y = 390(0.95)^3

y = $334.

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Answer:

$334.37

Step-by-step explanation:

At the start, Sai owes his mum $390. After the first month, his mum reduces his debt by 5% of $390, which is 0.05 x $390 = $19.50. So at the end of the first month, he owes his mum $390 - $19.50 = $370.50.

After the second month, his mum reduces his debt by 5% of $370.50, which is 0.05 x $370.50 = $18.53. So at the end of the second month, he owes his mum $370.50 - $18.53 = $351.97.

After the third month, his mum reduces his debt by 5% of $351.97, which is 0.05 x $351.97 = $17.60 (rounded to the nearest cent). So at the end of the third month, he owes his mum $351.97 - $17.60 = $334.37.

Therefore, Sai owes his mum $334.37 at the end of three months.

Answer:

120$ 60$

Step-by-step explanation:

The total cost 161+19=180

180X150%=180×1.5

=                 = 120  

150%=15, the rule of multiplication

" Stefan spend originally $120. 180-120=60

He make $60 by selling the bicycle and helmet to Jin.

1. (7)/(2a). 2. The expression (4.2xy-bx)/(5xy-15) does not have a simplified form. 3. \((8/9) * (5^a^2 + ab^2)/(a + ab^2\)) .4. x - 3.5. The expression (6ac-4bc)/(4ac+4bc) does not have a simplified form.6. 16x+9/(x+2).

1. To simplify (14)/(4a), we can divide both the numerator and denominator by 2 to get (7)/(2a).

2. The expression (4.2xy-bx)/(5xy-15) does not have any common factors that can be simplified further, so it does not have a simplified form.

3. To simplify \((24a^2b^3)/(27a^3b^2) * (5^a^2 + ab^2)/(3a^3 + 3a^2b^2),\)we can cancel out common factors. The 3 in the numerator and the denominator cancel out, as well as one of the a's in the numerator and the denominator, resulting in \((8/9) * (5^a^2 + ab^2)/(a + ab^2).\)

4. In\((6x^2-18x)/(6x^2)\), we can factor out a common factor of 6x from both terms in the numerator, resulting in x - 3.

5. The expression (6ac-4bc)/(4ac+4bc) does not have any common factors that can be simplified further, so it does not have a simplified form.

6. In\((8*2x^2+11x+12)/(x^2+3x+2)\), we can simplify the numerator by multiplying 8 and  \(2x^2\) to get 1\(6x^2\). Then, we can factor the numerator and denominator to get (16x+9)/(x+2).

Therefore, the simplified expressions are:

1. (14)/(4a) simplifies to (7)/(2a).

2. (4.2xy-bx)/(5xy-15) does not have a simplified form.

3. \((24a^2b^3)/(27a^3b^2) * (5^a^2 + ab^2)/(3a^3 + 3a^2b^2)\) simplifies to \((8/9) * (5^a^2 + ab^2)/(a + ab^2).\).

4.\((6x^2-18x)/(6x^2)\) simplifies to x - 3.

5. (6ac-4bc)/(4ac+4bc) does not have a simplified form.

6.\((8*2x^2+11x+12)/(x^2+3x+2)\)simplifies to 16x+9/(x+2).

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Answer:

B

Step-by-step explanation:

The correct answer is Option C - Type 1 and Type 2. The power of a test is the probability of rejecting the null hypothesis when it is false; in other words, it is the probability of avoiding a type II error.

The power may also be thought of as the likelihood that a particular study will detect a deviation from the null hypothesis given that one exists. A Type 1 error occurs when a hypothesis test results in rejecting a true null hypothesis, and a Type 2 error occurs when a hypothesis test fails to reject a false null hypothesis.

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Distribute the parentheses:

2(x + 1)

2 · x = 2x

2 · 1 = 2

2(x + 1) = 2x + 2

The line integral ∫[C] (Pdx + Qdy) over the given curve C consisting of the arc of the parabola y = x² from (0,0) to (1, 1), and the line segment from (1,1) to (0,1) is equal to 2/5.

What is integral?

The value obtained after integrating or adding the terms of a function that is divided into an infinite number of terms is generally referred to as an integral value.

To evaluate the line integral using Green's theorem, we need to find a vector field F = (P, Q) such that ∇ × F = Qₓ - Pᵧ, where Qₓ represents the partial derivative of Q with respect to x, and Pᵧ represents the partial derivative of P with respect to y.

Let's consider F = (P, Q) = (x²y², xy).

Now, let's calculate the partial derivatives:

Qₓ = ∂Q/∂x = ∂(xy)/∂x = y

Pᵧ = ∂P/∂y = ∂(x²y²)/∂y = 2x²y

The curl of F is given by ∇ × F = Qₓ - Pᵧ = y - 2x²y = (1 - 2x²)y.

Now, let's find the line integral using Green's theorem:

∫[C] (Pdx + Qdy) = ∫∫[R] (1 - 2x²)y dA,

where [R] represents the region enclosed by the curve C.

To evaluate the line integral, we need to parameterize the curve C.

The arc of the parabola y = x² from (0, 0) to (1, 1) can be parameterized as r(t) = (t, t²) for t ∈ [0, 1].

The line segment from (1, 1) to (0, 1) can be parameterized as r(t) = (1 - t, 1) for t ∈ [0, 1].

Using these parameterizations, the region R is bounded by the curves r(t) = (t, t²) and r(t) = (1 - t, 1).

Now, let's calculate the line integral:

∫∫[R] (1 - 2x²)y dA = ∫[0,1] ∫[t²,1] (1 - 2t²)y dy dx + ∫[0,1] ∫[0,t²] (1 - 2t²)y dy dx.

Integrating with respect to y first:

∫[0,1] [(1 - 2t²)(1 - t²) - (1 - 2t²)t²] dt.

Simplifying:

∫[0,1] [1 - 3t² + 2t⁴] dt.

Integrating with respect to t:

[t - t³ + (2/5)t⁵]_[0,1] = 1 - 1 + (2/5) = 2/5.

Therefore, the line integral ∫[C] (Pdx + Qdy) over the given curve C consisting of the arc of the parabola y = x² from (0,0) to (1,1), and the line segment from (1,1) to (0,1) is equal to 2/5.

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Answer:

The Median is 75

Step-by-step explanation:

median is the middle number in a set of given numbers

arranging in order will be

30,64,70,80,90,110

the middle numbers are 70 and 80

Median=80+70/2

=150/2

Median=75