15% of washing machines manufactured in a factory break down and are returned in the first year of operation. suppose that 32 machines are purchased by a laundromat, find the probability that at least one washing machine breaks down in the first year of operation.

Answer:

This answer should be 16

Answer:

i think here the answer is 16

These are the coordinates of the Vertices of the resulting triangle after performing the given transformations.the resulting vertices after the reflection and translation are: A'(-15, 8) B'(-4, 5) C'(-9, 6)

The triangle ΔABC and perform the given transformations, let's start by plotting the original triangle ΔABC on a graph:

Poin A: (10, 4)

Point B: (-1, 1)

Point C: (4, 2)

Now, let's reflect the triangle ΔABC by multiplying the x-coordinates of the vertices by -1:

Reflected Point A': (-10, 4)

Reflected Point B': (1, 1)

Reflected Point C': (-4, 2)

Next, let's use the given translation function (x, y) → (x - 5, y + 4) to translate the reflected triangle:

Translated Point A'': (-10 - 5, 4 + 4) = (-15, 8)

Translated Point B'': (1 - 5, 1 + 4) = (-4, 5)

Translated Point C'': (-4 - 5, 2 + 4) = (-9, 6)

Therefore, the resulting vertices after the reflection and translation are:

A'(-15, 8)

B'(-4, 5)

C'(-9, 6)

These are the coordinates of the vertices of the resulting triangle after performing the given transformations.

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Answer:

909.09

Step-by-step explanation:

400 divided by 44% is about 909.09.

Answer: the answer is 0

Step-by-step explanation:

What is 2/5 of 15?

Answer:

2/5 of 15 is 6.

Answer:

6

Step-by-step explanation:

The word of  in math refers to multiplication.

We can convert 15 to a fraction as well so we can use them together (15/1).

\(\frac{2}{5}\) x \(\frac{15}{1}\)

We can then work diagnolly and reduce the 5 and 15 since they are both divisible by 5- this is also known as the GCF or Greatest Common Factor

\(\frac{2}{1}\) x \(\frac{3}{1}\)

This is the same as 2 x 3 since both numbers divided by 1 are just themselves.

2x3 = 6

Step-by-step explanation:

first : the sum of all angles in a triangle is always 180°.

second : the law of sine

a/sin(A) = b/sin(B) = c/sin(C)

a, b, c are the sides, A, B, C are the the corresponding opposite angles.

therefore,

angle J = 180 - 71 - 46 = 63°

j/sin(J) = k/sin(K)

11/sin(63) = k/sin(46)

k = 11×sin(46)/sin(63) = 8.880673249... m

Answer:

14.167

Step-by-step explanation:

assuming you meant 5+13

====================================================

Explanation:

We set up a cosine ratio, since we want to connect the adjacent and hypotenuse. Then we'll use the inverse cosine, which is also known as arccosine, to isolate the angle value.

This is what your steps could look like:

cos(angle) = adjacent/hypotenuse

cos(L) = LM/LN

cos(L) = 18/60

cos(L) = 0.3

L = arccos(0.3)

L = 72.542396876278 which is approximate

L = 72.54 degrees approximately

Make sure your calculator is in degree mode.

Answer:

The area of the given figure is equal to the area of a rectangle with sides 5 feets by 6 feets less the area of four square cut-outs of side 1 feet.

Area of the rectangle = 5 x 6 = 30 square feets.

Area of the four square cut-outs = 4(1 x 1) = 4 x 1 = 4 square feet

Area of the given figure = 30 - 4 = 26 square feet.

Area of a triangle = 1/2 x base x height

i.e. 1/2 bh = 26

bh = 26 x 2 = 52

possible values of base and height = (1 and 52), (2 and 26), (4 and 13)

Step-by-step explanation:

Hope this helped.

A brainliest is always appreciated.

Geometrically, S represents a plane in ℝ^3 that is orthogonal (perpendicular) to the vector m.

To establish that S is a subspace of ℝ^3, we must confirm that S is closed under vector summation and scalar multiplication.

A pertinent theorem from linear algebra that can be applied here is the "Subspace Criterion" theorem. This principle states that a non-empty subset S of a vector space V is a subspace if and only if it fulfills the following conditions:

For any vectors a, b ∈ S, their addition a + b ∈ S.

For any vector a ∈ S and any scalar k, the product ka ∈ S.

Now, let's define a vector m = v - e.

Observe that for any y in S, we have:

m • y = (v - e) • y = (v • y) - (e • y) = 0.

This implies that y is orthogonal to the vector m.

Geometrically, S represents a plane in ℝ^3 that is orthogonal (perpendicular) to the vector m.

As the plane is closed under vector summation and scalar multiplication, S is indeed a subspace of ℝ^3.

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Suppose v = (2, 4, 5) and e = (6, 7, 3) are a pair of vectors in ℝ^3. Let S be the collection of all y in ℝ^3 such that the inner product of v and y equals the inner product of e and y (i.e., v • y = e • y).

What principle can be utilized to demonstrate that S is a subspace of ℝ^3? Describe S in geometric terms.

The answer is $1500.00

Here's the solution,

The given triangle is an equilateral triangle, because it's all angles measure 60° each

now,

Area of an equilateral triangle :

=》

\( \dfrac{ \sqrt{3} }{4} {a}^{2} \)

where,

=》

\( \dfrac{ \sqrt{3} }{4} \times 8 \times 8\)

=》

\( \sqrt{3} \times 16\)

=》

\(16 \sqrt{3} \: \: \: cm {}^{2} \)

or

=》

\(27.71 \: \: cm {}^{2} \)

Answer:

$6 per hour

Step-by-step explanation:

27/4.5=6

The total milliliters of punch is 2x + y.

To find the total amount of milliliters of punch, we need to add together the amount of water, apple juice, and grape juice used to make it. Since the punch is made up of "water by volume" and "the rest is grape juice," we know that the ratio of water to grape juice is 1 : 1. If we know the amount of grape juice used in milliliters, we can use that to find the amount of water and apple juice used, and then add all three amounts together to find the total amount of milliliters of punch.

Let's say that "x" milliliters of grape juice were used to make the punch. Since the ratio of water to grape juice is 1 : 1, we know that the same amount of water, "x" milliliters, were used. To find the total amount of milliliters of water and grape juice, we add x + x = 2x milliliters.

However, the prompt also mention "apple juice" is also included in the punch, so we need to add the amount of apple juice used in the punch to find the total milliliters of punch. If the amount of apple juice used is "y" milliliters, then the total milliliters of punch is 2x + y.

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Answer:

-3

Step-by-step explanation:

5(y+2/5)=-13

5*y+5*2/5=-3

5y+2=-13

5y=-13-2

5y=-15

5y/5=-15/5

y=-3

Answer:

y = -3

Step-by-step explanation:

Now we have to,

→ Find the required value of y.

The equation is,

→ 5(y + (2/5)) = -13

Then the value of y will be,

→ 5(y + (2/5)) = -13

→ 5(y) + 5(2/5) = -13

→ 5y + (10/5) = -13

→ 5y + 2 = -13

→ 5y = -13 - 2

→ 5y = -15

→ y = (-15)/5

→ [ y = -3 ]

Hence, the value of y is -3.

The probability that exactly one will have other characteristics is 2 × (11/28 × 17/28). The correct answer is option e.

To calculate the probability that exactly one state flag will have other characteristics, we can break it down into two cases:

The first flag has other characteristics and the second flag does not.

The first flag does not have other characteristics and the second flag does.

The probability of the first case is (11/28) × (17/28), since the probability of selecting a flag with other characteristics on the first draw is 11/28, and the probability of selecting a flag without other characteristics on the second draw is 17/28 (since we are drawing with replacement, the probabilities remain the same for both draws).

Similarly, the probability of the second case is (17/28) × (11/28).

So the total probability is the sum of these two probabilities, which is:

(11/28) × (17/28) + (17/28) × (11/28) = 2 × (11/28) × (17/28) = 0.335 (rounded to three decimal places)

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The question is -

If we randomly select two state flags, with replacements, what is the probability that exactly one will have other characteristics?

a. 1/11 × 1/11

b. 2 × (11/28 × 17/27)

c. 12/28 + 17/28

d. 2 × 11/28

e. 2 × (11/28 × 17/28)

f. 11/28 × 17/28

If row-reducing the augmented matrix does not produce any non-zero entries in the right-hand side, then the columns of A are linearly independent.

To determine if the columns of matrix A form a linearly independent set, we need to check if the equation Ax = 0 has only the trivial solution x = 0.

Let's assume the given matrix A is:

A = [a1, a2, a3, ..., an]

If the columns of A are linearly independent, then the equation Ax = 0 has only the trivial solution.

To solve the equation Ax = 0, we set up the augmented matrix [A | 0] and row-reduce it:

[A | 0] =

[a1, a2, a3, ..., an | 0]

Row-reducing the augmented matrix will help us determine if there are any non-trivial solutions to the equation Ax = 0.

If row-reducing the augmented matrix leads to a row of zeros with a non-zero entry in the corresponding row of the right-hand side (0), then the columns of A are linearly dependent, and there exists a non-trivial solution.

If row-reducing the augmented matrix does not produce any non-zero entries in the right-hand side, then the columns of A are linearly independent.

By performing row operations on the augmented matrix [A | 0] and examining the resulting row echelon form, we can determine if the columns of A are linearly dependent or independent and find the dependence relation if they are dependent.

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In ARM 64 assembly, you can use a combination of instructions to implement an if statement that checks if the input is not an integer. One approach is to use the FCVTAS instruction to convert the input to a signed integer, and then compare it to the original input using a conditional branch instruction. Here's an example:

; Load input value into register x0

LDR x0, [sp, #0]

; Convert input to signed integer

FCVTAS w1, d0

; Compare converted value to original input

CMP w1, w0

; If the values are not equal, jump to label 'not_integer'

B.NE not_integer

; Continue execution if input is an integer

...

not_integer:

; Handle case where input is not an integer

...

In this example, we assume that the input value is stored in memory at the address pointed to by the stack pointer (sp) plus an offset of 0. The LDR instruction loads the input value into register x0.

The FCVTAS instruction converts the input value (d0) to a signed integer (w1). The result is stored in a 32-bit register (w1) because the input value is assumed to be in the range of a 32-bit signed integer.

The CMP instruction compares the converted value (w1) to the original input value (w0). If the values are not equal, the B.NE instruction jumps to the label not_integer, indicating that the input is not an integer. Otherwise, execution continues after the if statement.

Note that this is just one example of how you could implement an if statement to check if the input is not an integer in ARM 64 assembly. The specific implementation may depend on the requirements of your program and the instructions available on your hardware platform.

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Answer:

A.) exponential decay

B.) 5575

C.) 65%

Step-by-step explanation:

31.25 g on the 5th day

no it will never by empty because even when it gets down to one singular piece of sugar you would technically just cut it in half, then that in half, yes it would get impossible, that's why you wouldn't actually do it, but if you typed it into a calculator it would just keep getting a smaller and smaller decimal.

Answer: 0.9545 (95.5%)

Step-by-step explanation: We can use the binomial distribution to model the number of people who favor the voucher idea in a simple random sample of 500 adults. The binomial distribution has two parameters: n, the number of trials, and p, the probability of success in each trial. In this case, n = 500 and p = 0.45.

The probability that exactly x people favor the voucher idea is given by the binomial formula:

P(x) = (n choose x) * p^x * (1-p)^(n-x)

where (n choose x) = n! / (x! * (n-x)!)

To find the probability that 40-60% are in favor, we need to sum up the probabilities for x = 200, 201, …, 300, since these values correspond to 40-60% of 500.

P(200) + P(201) + … + P(300) = 0.9545 (rounded to four decimal places)

We can use a calculator or a statistical software to compute this sum.

Alternatively, we can use the normal approximation to the binomial distribution, which is valid when n is large and p is not too close to 0 or 1. The normal approximation has a mean of np and a standard deviation of sqrt(np(1-p)). In this case, np = 500 * 0.45 = 225 and sqrt(np(1-p)) = sqrt(500 * 0.45 * 0.55) = 11.18.

To find the probability that 40-60% are in favor, we need to find the area under the normal curve between 200 and 300. To do this, we need to convert these values to z-scores using the formula:

z = (x - np) / sqrt(np(1-p))

The z-scores for 200 and 300 are:

z(200) = (200 - 225) / 11.18 = -2.24

z(300) = (300 - 225) / 11.18 = 6.71

Using a standard normal table or a calculator, we can find the area under the curve between these z-scores:

P(-2.24 < z < 6.71) = P(z < 6.71) - P(z < -2.24) = 1 - 0.0127 = 0.9873

This is an approximation of the exact binomial probability, which is slightly lower at 0.9545.

Hope this helps, and have a great day! =)

Using the equivalence concept, it is found that the correct option is given by:

a the expressions have the same value for any value of y.

Two expressions are said to be equivalent if for the same input, they have the same value.

In the expressions given in this problem, the input is y, hence they have the same value for any value of y, which means that option A is correct.

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Answer: 1,176 miles

Step-by-step explanation:

490 / 5 = 98 miles

98 mph X 12 hours is 1,176

Answer:

It's B

Step-by-step explanation:

Given that we have the graph of f(x), we want to see which one is the graph of its inverse. i just had that question and i got a 100 on it