If peanut butter wasn’t called peanut butter, what would it be called?

The probability that exactly two out of the five randomly selected trucks have defective brakes is approximately 0.3456, or 34.56%.

To calculate the probability that two out of five randomly selected trucks have defective brakes, we need to use the concept of combinations and the probability of selecting a truck with brake problems.

We know that there are 10 trucks in total and 4 of them have brake problems, we can first calculate the probability of selecting a truck with a brake problem.

The probability of selecting a truck with a brake problem is given by:

P(defective truck) = Number of defective trucks / Total number of trucks

P(defective truck) = 4 / 10 = 0.4

Next, we need to calculate the probability of selecting exactly two defective trucks out of the five trucks tested. We can use the binomial probability formula for this calculation:

P(X = k) = C(n, k) * p^k * (1-p)^(n-k)

where:

P(X = k) is the probability of exactly k successes,

n is the total number of trials (number of trucks tested),

k is the number of successes (number of defective trucks),

p is the probability of success (probability of selecting a truck with brake problems), and

C(n, k) is the number of combinations of n items taken k at a time.

In this case, we have n = 5 (five trucks tested), k = 2 (two defective trucks), and p = 0.4 (probability of selecting a truck with brake problems).

Using the formula, we can calculate the probability:

P(X = 2) = C(5, 2) * 0.4² * (1-0.4)⁽⁵⁻²⁾

P(X = 2) = 10 * 0.4² * 0.6³

P(X = 2) = 10 * 0.16 * 0.216

P(X = 2) = 0.3456

Therefore, the probability that exactly two out of the five randomly selected trucks have defective brakes is approximately 0.3456, or 34.56%.

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The patient underwent a three-stage surgical procedure to remove squamous cell carcinoma on the tip of their nose.

Based on the given information, the patient underwent a three-stage surgical procedure for the removal of squamous cell carcinoma on the tip of the nose. The tumor was initially removed (first stage) and divided into seven blocks for examination. However, positive margins were observed. Consequently, a second stage was performed, and the tumor was divided into five blocks, again revealing positive margins. Finally, a third stage was carried out, and the specimen was divided into three blocks, which were found to be clear of skin cancer.

The multiple stages of the surgical procedure indicate the physician's effort to ensure the complete removal of squamous cell carcinoma by progressively resecting the affected tissue until clear margins were achieved. This stepwise approach is common in cases where the tumor extends beyond the initial resection boundaries to ensure complete eradication of the cancer cells.

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Answer:

-2 4

-1 7

0 10

1 13

2 16

Step-by-step explanation:

Use a graphing calculator.

Answer:

Step-by-step explanation:

3 - 10 = 7

10 - 7 = 3

= 0 . 3

Answer:

solution,

Price of car=£15400

After reduction:

\(15400 - 15400 \times \frac{8}{100} \\ = 15400 - 1232 \\ = 14168\)

hope this helps...

Good luck on your assignment....

Answer:

The answer to the first question is

\(16.37\)

The answer to the second question is D

Answer:

Copper

Explanation:

Copper would be beacuse it's non-toxic, it's antimicrobial, it's rustproof, and it is affordable.

Answer:

-6 * (x+2y=8)

Step-by-step explanation:

1.) lost negative sign  

2.) correct

3.) lost negative sign

-6 * (x+2y=8) = (-6x-12y=-48)

Correct question is;

Kim ordered a pizza. He has a $1.00 coupon which will get applied after a weekday discount of 15%. Let the X be the original cost of the pizza, C(x) = the cost with the coupon discount applied, and D(x) = the cost with the weekday discount applied.

Which expression gives the cost for Kim’s pizza?

A) C(x) + D(x)

B) D(C(x))

C) C(D(x))

D) C(x) × D(x)

Answer:

Option C: C(D(x))

Step-by-step explanation:

We are given that;

C(x) = the cost with the coupon discount applied

D(x) = the cost with the weekday discount applied.

Since there is a weekday discount, it means the cost for Kim's pizza will be a function of the discount.

This means that the cost will be C as a function of (D(x)). This can be written as; C(D(x))

Answer:

Step-by-step explanation:

b.

\(\frac{a^2+6a+9}{a^2-9} *\frac{3a-9}{a+3} \\=\frac{a^2+2*a*3+3^2}{a^2-3^2} *\frac{3(a-3)}{a+3} \\=\frac{(a+3)^2}{(a+3)(a-3)} *\frac{3(a-3)}{a+3} \\=\frac{3(a+3)^2}{(a+3)^2} \\=3\)

d.

\(\frac{3x^2-6x}{3x+1} *\frac{x+3x^2}{x^2-4x+4} \\=\frac{3x(x-2)}{3x+1} *\frac{x(1+3x)}{x^2-2x-2x+4} \\=\frac{3x(x-2)}{3x+1} *\frac{x(1+3x)}{x(x-2)-2(x-2)} \\=\frac{3x(x-2)}{3x+1} *\frac{x(1+3x)}{(x-2)(x-2) } \\=\frac{3x^2}{x-2)}\)

e.

\(\frac{2x^2-10x+12}{x^2-4} *\frac{2+x}{3-x} \\=\frac{2[x^2-5x+6]}{x^2-2^2} *\frac{2+x}{-(-3+x)} \\=\frac{2[x^2-2x-3x+6]}{(x+2)(x-2)} *\frac{x+2}{-(x-3)} \\=\frac{2[x(x-2)-3(x-2)]}{(x+2)(x-2)} *\frac{x+2}{-(x-3)} \\=\frac{2(x-2)(x-3)}{(x+2)(x-2)} *\frac{x+2}{-(x-3)} \\=\frac{2}{-1} \\=-2\)

k.

\(\frac{6x^2-11x-10}{6x^2-5x-6} *\frac{6-4x}{25-20x+4x^2} \\=\frac{6x^2-15x+4x-10}{6x^2-9x+4x-6} *\frac{-4x+6}{4x^2-10x-10x+25} \\=\frac{3x(2x-5)+2(2x-5)}{3x(2x-3)+2(2x-3) } *\frac{-2(2x-3)}{2x(2x-5)-5(2x-5)} \\=\frac{(2x-5)(3x+2)}{(2x-3)(3x+2)} *\frac{-2(2x-3)}{(2x-5)(2x-5)} \\=\frac{-2}{2x-5}\)

Answer:

14 squares

Step-by-step explanation:

1. We know if the mosaic is a square shape, all sides are the same length and consist of the same amount of squares

2. Area is L×W, so in this case A×A=196

3. We can test this by replacing A with 14 and seeing if the answer is correct.

4. 14×14=196 is true

This can also be done by finding the square root of 196.

9,820 people in the town spend more than 2 hours a day on their smartphones.

To estimate the number of people in the town of 17,247 who spend more than 2 hours a day on their smartphones based on this survey, we can use the following formula:

estimated proportion ± margin of error = confidence interval

where the estimated proportion is the sample proportion (57%), the margin of error is given (2.2%), and the confidence interval is the range within which the true population proportion is likely to fall.

Using this formula, we can find the confidence interval:

= 57% ± 2.2%

= 0.57 ± 0.022

= (0.548, 0.592)

This means that we are 95% confident that the true population proportion of people in the town who spend more than 2 hours a day on their smartphones falls within the range of 0.548 to 0.592.

To estimate the number of people in the town who spend more than 2 hours a day on their smartphones, we can multiply this proportion by the total population of the town:

estimated number = estimated proportion x population

estimated number = 0.57 * 17,247 = 9,820.79

So, we can estimate that approximately 9,820 people in the town spend more than 2 hours a day on their smartphones.

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Answer:

its 1/2

in x site he multiply by 2 and 4

3×2=6

6×4=24

in the y site he devide by 2 and then 4

2=2÷4

1/2=4÷2

Answer:

the answer to this question is 3

Answer:

56 is: The sum of the first six triangular numbers (making it a tetrahedral number). The number of ways to choose 3 out of 8 objects or 5 out of 8 objects, if order does not matter. The sum of six consecutive primes (3 + 5 + 7 + 11 + 13 + 17)

Step-by-step explanation:

hope this helps:) mark me brainliest if you want !!

Answer:

I don't know how to explain it, but here is an example of one. if you need any help I can help you!

Step-by-step explanation:

For example:

The solution of the pairs of lines are as follows,
(1) Line 1 and line 2 are perpendicular to each other.
(2) Line 1 and line 3 are parallel to each other.
(3) Line 2 and line 3 are perpendicular to each other.

The slope of the line is a tangent angle made by line with horizontal. i.e. m =tanx where x in degrees.

Here,
Calculate the slope of each line,

LIne 1
3y = 2x + 5
y = 2/3x + 5/3
Compared with the standard equation of line y = mx + c,

Slope m = 2/3
Similarly.
The slope of line 2 = -3/2
The slope of line 3 = 2/3

Now. properties of pair of lines state that the slope of parallel lines is equal and the slope of perpendicular lines are negative reciprocal of each other,
So
Slope of line 1 = slope of line 3
But,
The slope of line 2 is the negative reciprocal of the slope of lines 1 and 3.

Thus, the solution of the pair of lines has been shown above.

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Answer:

√9797

The result can be shown in multiple forms.

Exact Form:√9797

Decimal Form:9.84885780…

Answer:

yes

Step-by-step explanation:

good

Answer:

704 cubic yards

Step-by-step explanation:

\( {8}^{3} + \frac{1}{3} ( {8}^{2} )(9) = 512 + 192 = 704\)

Answer:

£61.58

Step-by-step explanation:

do 10% of 53.55 then add half of that answer (5%= half of 10%)

and you're done!

The correct option is A, the lower quartile (Q1) and it is 75.

We must comprehend the quartiles of the box plot in order to calculate the number below which 25% of the data lies.

A box plot's interquartile range (IQR), which contains the middle 50% of the data, is represented by the box.

The median, which splits the data into two equally sized half, is shown by the line inside the box.

Here, the box has a line at 79 and spans from 75 to 82.

Accordingly, the lower quartile (Q1) and the upper quartile (Q3) are both situated near the box's boundary, which is 75 and 82, respectively.

The line inside the box, which is 79, is the median (Q2).

The first quartile (Q1) or the 25th percentile must be identified in order to establish the number below which 25% of the data lies.

The first quartile in a box plot symbolizes the number below which 25% of the data is found.

Since Q1 is located at the lower boundary of the box, which is 75, 25% of the data lies below the score of 75.

Hence the correct option is A.

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From the given function f(x) the value of expression f(f(81)) is equal to 3.

Let's see how to find the answer to the question:

Find (f0f)(81)

In the given question, we need to find the value of (f0f)(81). This notation means (f◦f)(81).

Given that f(x)= sqrt(x) and g(x) =\((x - 7)^2\).

We know that to find (f◦f)(x), we need to evaluate f(f(x)).

This means we need to first evaluate f(x), and then evaluate f(f(x)).

To find (f◦f)(81), we need to find f(f(81)).

Using the function f(x), we find f(81):

f(81) = sqrt(81) = 9

Now, we use the function f(x) again to find f(f(81)):

f(f(81)) = f(9)

= sqrt(9)

= 3

Thus, we have found that

(f◦f)(81) = f(f(81))

= 3

Hence, the value of (f0f)(81) is 3.

Therefore, the value of (f0f)(81) is 3.

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Answer No because it does not have a coefficient

Step-by-step explanation:

One possible value of ∠U is 80° (to the nearest degree).

A triangle is a three-sided polygon with three vertices. The triangle's internal angle, which is 180 degrees, is constructed.

To find the possible values of ∠U, we can use the Law of Cosines:

c² = a² + b² - 2ab cos(C)

Where c is the side opposite the angle we want to find (∠U), a and b are the other two sides, and C is the angle opposite side c.

In this case, we want to find ∠U, so we'll use side u as c and sides t and s (which we don't know yet) as a and b, respectively:

u² = t² + s² - 2ts cos(U)

Substituting the given values, we get:

340² = 620² + s² - 2(620)(s)cos(U)

Simplifying:

115600 = 384400 + s² - 1240s cos(U)

Subtracting 384400 and rearranging:

s² - 1240s cos(U) + 268800 = 0

Now we can use the quadratic formula to solve for s:

s = [1240 cos(U) ± √(1240² cos²(U) - 4(1)(268800))]/(2)

Simplifying under the square root:

s = [1240 cos(U) ± √(1537600 cos²(U) - 1075200)]/(2)

s = [1240 cos(U) ± √(409600 cos²(U) + 1742400)]/(2)

s = [620 cos(U) ± √(102400 cos²(U) + 435600)]

Since s must be positive, we can discard the negative solution, and we have:

s = 620 cos(U) + √(102400 cos²(U) + 435600)

Now we can use the fact that the sum of angles in a triangle is 180° to find ∠U:

∠U = 180° - ∠T - ∠S

Since we know ∠T = 110°, we just need to find ∠S. We can use the Law of Sines to do this:

sin(S)/s = sin(T)/t

sin(S) = (s/t)sin(T)

Substituting the values we know:

sin(S) = (620 cos(U) + √(102400 cos²(U) + 435600))/620 * sin(110°)

sin(S) ≈ (1.481 cos(U) + 2.225)/6.959

Now we can use a calculator to find the arcsin of both sides to get ∠S:

∠S ≈ arcsin((1.481 cos(U) + 2.225)/6.959)

Finally, we can substitute the values we found for ∠S and ∠T into the equation we found earlier for ∠U:

∠U = 180° - 110° - arcsin((1.481 cos(U) + 2.225)/6.959)

Simplifying:

∠U = 70° - arcsin((1.481 cos(U) + 2.225)/6.959)

Now we can use trial and error or a graphing calculator to find the values of ∠U that satisfy this equation. One possible solution is:

∠U ≈ 80°

Therefore, one possible value of ∠U is 80° (to the nearest degree).

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Answer:

=3/4/1/20 miles per hr. =15 miles per hr.

Step-by-step explanation:

Speed equals distance and time

Answer:

c

Step-by-step explanation:

it is the awnser

Note that the the equation of the second line is y - 2 = (-1)(x - 0). The system of equations has no solutions, since the lines do not intersect.

One way to approach this problem is to find the slope of the line that passes through (0, -3) and (2, 0), which is:

slope = (0 - (-3))/(2 - 0) = 3/2

Then, we can use point-slope form to write the equation of this line:

y - (-3) = (3/2)(x - 0)

Simplifying, we get:

y = (3/2)x - 3

Now, we need to find a line that goes through (0, 2) and has a different slope than the first line. One way to do this is to choose a point that is not on the first line, say (1, 1), and use it to find the slope of the second line:

slope = (2 - 1)/(0 - 1) = -1

Then, we can use point-slope form again to write the equation of the second line:

y - 2 = (-1)(x - 0)

Simplifying, we get:

y = -x + 2

Now, we have two equations:

y = (3/2)x - 3

y = -x + 2

We can solve for the point of intersection by setting these two equations equal to each other:

(3/2)x - 3 = -x + 2

Simplifying and solving for x, we get:

x = 8/5

Substituting back into either equation, we get:

y = (3/2)(8/5) - 3 = -3/5

Therefore, the system of equations has no solutions, since the lines do not intersect.

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Answer:

I'm sorry if it's worng but I think it's A

The given function belongs to the linear family.

According to the statement

we have to find that the type which is belongs to the function f.

So, for this purpose, we know that the

To identify the function family, we do the following

Identify the variable --- the variable of the function is x

Check if the variable has any negative exponent -- x has no negative power

Identify the highest power of x -- The highest power of x is 1.

Then

When there is no negative exponent and the highest power of the variable is 1, then the function belongs to the linear family.

Next, we compare the function to its parent function.

The parent function of a linear function is:

y = x

And it is translated by the 8.

So, The given function belongs to the linear family.

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