The perimeter of a rectangle is 56mm. Three of the sides have a length of 15mm, 13mm, and 15mm. What is the side length?

Substitute u = t ³/2592 and du = t ²/864 dt. Then

[tex]P(T)=1-\displaystyle\int_0^T f(t)\,\mathrm dt=1-\displaystyle864\left(1.1574\times10^{-3}\right)\int_0^{\frac{T^3}{2592}}e^{-u}\,\mathrm du[/tex]

The probability that a 12 hour surgery is successful is P (12), so letting T = 12 gives

[tex]P(12)\approx1-\displaystyle\int_0^{\frac23}e^{-u}\,\mathrm du\approx e^{-\frac23} \approx \boxed{0.5134}[/tex]

Answer:

5L

Step-by-step explanation:

[tex]\frac{5000mL}{1}*\frac{1L}{1000mL} = 5L[/tex]

Answer:

5L

Step-by-step explanation:

If you are trying to find out how many liters there are in 5000 milliliters then it is 5

Answer:

P(A) = 0.2, P(B) = 0.5, P(A\B) = 0.3:

P(A\B) = P(A and B) P(B)

0.3 = P(A and B) 0.5

0.15 P(A and B)

P(A and B) = 0.15

B. P(A or B) = P(A) + P(B) - P(A and B)

0.2 + 0.5 - 0.15

0.70 - 0.15 = 0.55

Answer:

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The probabilities of the events are P(A) = 4/7. P(B) = 1/2, P(A and B) = 1/7, P(A | B) = 2/7 and P(B) * P(A | B) = 1/7

The probability that equals P(A and B) is P(B) * P(A | B)

From the question, we have the following parameters that can be used in our computation:

The Venn diagram

Where, we have

A = 8

B = 7

A and B = 2

Neither = 1

Total = 14

So, we have

P(A) = 8/14 = 4/7

P(B) = 7/14 = 1/2

P(A and B) = 2/14 = 1/7

P(A | B) = (1/7)/(1/2) = 2/7

P(B) * P(A | B) = 1/2 * 2/7 = 1/7

In (a), we have

P(A and B) = 1/7

Also, we have

P(B) * P(A | B) = 1/7

This means that the probability that equals P(A and B) is P(B) * P(A | B)

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Answer:

The third angle would be 83 degrees.

Step-by-step explanation:

Seeing that every triangle's angles will always add up to 180 degrees, we would do the following:

180-90=90

90-7=83 degrees.

Answer:

The question is uncomplete.

Step-by-step explanation:

Sorry but after you said

"which of the following must be true about the shape of the backyard." you didn't list possibilities after that. sorry

The statement that is true about the shape of the backyard is that: it is a rhombus.

A rhombus is a quadrilateral whose adjacent sides have equal lengths, that is, they are congruent.

Thus, since the four-sdied backyard is in the shape of a parallelogram and also has two adjacent sides that are congruent (30 ft each), then it is a rhombus.

Therefore, the statement that is true about the shape of the backyard is that: it is a rhombus.

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Answer: $71.20

Step-by-step explanation: 20% discount means 20% of the original price is subtracted from the original price, so to find 20% of the original price multiply 89 by 0.2 and you will get 17.8. Subtract the 17.8 from 89 and you get the answer, $71.20!  

Answer:

11.3

Step-by-step explanation:

Set up your equation:

a² + b² = c²

Plug in your values:

a² + 4² = 12²

Get a² by itself:

a² = 12² - 4²

Square your numbers and subtract:

a² = 144 - 16

a² = 128

Find the square root of both sides:

√a² = √128

a = 11.3

Answer:

The answer is 7

Step-by-step explanation:

I hope it helps I was just trying. if I'm wrong you can tell me I I will ask the people who are around me. wish you all the best.

Answer:

?????

Step-by-step explanation:

12x 0.25=?          ?x 5= $?

Answer:

To evaluate a variable expression means to find the value of the expression for given values of the variables. To evaluate, substitute the given values for the variables in the expression and simplify using the order of operations (PEMDAS)

Answer15 y-int. (sety=0) 5%-15 (set x=0) x=3. 13,0).

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Since the area all of the grids are 100 (10X10), in order for the shaded portion to be 10% of that it would have to be 10 of the squares. (10% = 10/100) Therefore because the one with 10 squares shaded is C, the answer is C!

Answer:

meow meow ............

.......

Answer:

Quadrilateral, square, rectangle

Step-by-step explanation:

An object have parallel sides if the sides have the same distance apart and they never meet.  

Quadrilaterals usually have parallel sides

Polygons including triangles and pentagons do not have parallel sides

the sides of a quadrilateral are also perpendicular. the sides form a 90 degree angle with each other

Opposite sides of a quadrilateral are usually equal. For example, the opposite lengths of a rectangle are equal. the four sides of a square are equal

Answer:

The correct answer is B. $1,250.95.

Step-by-step explanation:

Given that I have monthly mortgage expenses for $ 897.00 / month, clothing for $ 96.00 / month, food and restaurants for $ 56.00 / week, and telephone for $ 33.95 / month, to determine how much are my fixed expenses for the month, the following calculation must be performed:

897 + 96 + (56 x 4) + 33.95 = X

897 + 96 + 224 + 33.95 = X

1,250.95 = X

So, my fixed expenses for the month are $ 1,250.95.

Answer:

$930.95

Step-by-step explanation:

just took the test

Answer:

XX, YY, ZZ

Step-by-step explanation:

Answer:

The answers are as follows:

Step-by-step explanation:

A --> (-1,0) , x-axis

B --> (2,-3) , Q IV

C --> (4,2) , Q I

D --> (-1,5) , Q II

E --> (-3,-4) , Q III

Answer:

9.055

Step-by-step explanation:

Answer:

This is invertible

Step-by-step explanation:

pls give brainliest!

have a great day!

Answer:

17/13

Step-by-step explanation:

Answer:

[tex]\frac{17}{13}[/tex] or 1 [tex]\frac{4}{13}[/tex]

Step-by-step explanation:

Answer:

The percent markup is 91%.

Step-by-step explanation:

1. find the amount of profit per large bucket of popcorn

9 - 0.8 = $8.2

2. divide the amount of profit per large bucket of popcorn by the cost of a large bucket of popcorn

8.2 / 9 = 91%

Answer:

The percent markup is 91%.

1. find the amount of profit per large bucket of popcorn

9 - 0.8 = $8.2

2 divide the amount of profit per large bucket of popcorn by the cost of a large bucket of popcorn

8.2 / 9 = 91%

Answer:

Circle 1: 37.68 ft

Circle 2: 28.26 cm

To construct an octagonal box, you will need to cut eight rectangular pieces of equal size and eight regular octagons with equal sides. After cutting the pieces, fold them in a way that forms the octagonal box.

In an octagonal box shaped like an octagonal prism, the base is an octagon. Since the question does not provide specific measurements or angles for the octagon, we will assume that all the sides and angles of the octagon are equal. Let's denote the length of each side of the octagon as "s."

Area of the octagon = 2(1 + √2) * s^2

Where s is the length of each side.

An octagonal box is a type of prism that has eight equal sides and is shaped like a polygon. It has 8 vertices, 12 edges, and 6 faces.

The top and bottom faces are regular octagons, while the remaining faces are rectangles that connect the sides of the octagons.

Octagonal boxes can be used for various purposes, including storage, decoration, and shipping.

They are durable and can protect the contents inside from damage. In unit 7 lesson 12 cool down 12.5, you might be required to construct an octagonal box.

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Answer:

ln(2) - ln(7)

Step-by-step explanation:

Logarithmic expressions are represented using ln or log keywords

The expanded expression of ln(2/7) is [tex]\mathbf{ln(2) - ln(7)}[/tex]

The expression is given as:

[tex]\mathbf{ln(2/7)}[/tex]

The quotient rule of logarithm states that:

[tex]\mathbf{ln(a/b) = ln(a) - ln(b)}[/tex]

So, by comparison:

a = 2, and b = 7

So, we have:

[tex]\mathbf{ln(2/7) = ln(2) - ln(7)}[/tex]

Hence, the expanded expression of ln(2/7) is [tex]\mathbf{ln(2) - ln(7)}[/tex]

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Answer:

8/10 is greater than 63/100, it is grater because when u change them into a percentage 8/10 is higher

Step-by-step explanation:

Answer:

true :D

8/10 = 80/100 which is greater than 63/100

Answer:

The calculated value Z = 2.5 > 1.96 at 0.05 level of significance

The null hypothesis is rejected

The Alternative hypothesis is rejected

The EMS director wants to service goal of 12 minutes or less is being achieved

Step-by-step explanation:

Step(i):-

Given that the size of the random sample = 40

Given that the mean of the sample (x ⁻) = 13.25

Given that the standard deviation of the Population = 3.2 minutes

Level of significance = 0.05

The mean of the Population (μ) = 12

Step(ii):-

Null hypothesis:-H₀: (μ) = 12

Alternative Hypothesis: H₁ : μ < 12

Test statistic

                  [tex]Z = \frac{x^{-}-mean }{\frac{S.D}{\sqrt{n} } }[/tex]

                  [tex]Z = \frac{13.25-12 }{\frac{3.2}{\sqrt{40} } }[/tex]

                  Z = 2.5

The tabulated value Z₀.₀₅ = 1.96

The calculated value Z = 2.5 > 1.96 at 0.05 level of significance

The null hypothesis is rejected

The Alternative hypothesis is rejected

Final answer:-

The EMS director wants to service goal of 12 minutes or less is being achieved