Find the new amount if $65 increase 20/

Answers

Answer 1
Answer:

Answer:

$85

Step-by-step explanation:

Answer 2
Answer:

Answer:

the new amount would be $85

Step-by-step explanation:

you do $65 and add 20 because it increased 20

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The State Police are trying to crack down on speeding on a particular portion of the Massachusetts Turnpike. To aid in this pursuit, they have purchased a new radar gun that promises greater consistency and reliability. Specifically, the gun advertises ± one-mile-per-hour accuracy 75% of the time; that is, there is a 0.75 probability that the gun will detect a speeder, if the driver is actually speeding. Assume there is a 1% chance that the gun erroneously detects a speeder even when the driver is below the speed limit. Suppose that 72% of the drivers drive below the speed limit on this stretch of the Massachusetts Turnpike. a. What is the probability that the gun detects speeding and the driver was speeding? b. What is the probability that the gun detects speeding and the driver was not speeding? c. Suppose the police stop a driver because the gun detects speeding. What is the probability that the driver was actually driving below the speed limit?

John ordered five large size pizzas for a party. Five kids each ate 1/10 slice, and twelve adults each at 3/10 slices.a) Find the total number of slices consumed.
41/10
b) Find the leftover pizza if any.

Answers

Answer:

a) 4 1/10 slices eaten

b) cannot be solved because we don't know how many slices in each pizza

Step-by-step explanation:

5*1/10=5/10

12*3/10=36/10

36/10+5/10=41/10

41/10=4 1/10 slices

10 less than three times a number is 23. Find the number

Answers

The value of the unknown number is 11

Inequality is a concept in mathematics that shows the comparison between two non-equal numbers.

From the given information

  • Let the unknown number be x

3x - 10 = 23

Collect like terms

3x  = 23 + 10

3x = 33

Divide both sides by 3

\mathbf{(3x)/(3)= (33)/(3)}

x = 11

Learn more about inequality here:

brainly.com/question/11613554

Answer:

x = 11

Step-by-step explanation:

23 = 3x-10

1. Add 10 to both sides of the equation. -10 plus 10 is equal to zero so it cancels out to nothing, and 23 plus 10 is 33.

2. The new equation is now 33 = 3x.

3. Now you want to divide both sides by 3 to make x by itself since that is what you are trying to solve for.

4. 33/3 is equal to 11 so x = 11.

A rectangular. Garden bed measures 8 x 6 feet a water faucet is at one corner of the bed hose must be long enough to reach opposite corner when stretched straight. Find required length of hose

Answers

Answer:

10 ft

Step-by-step explanation:

The word problem is basically asking the length of one corner of the rectangle to the other. We can split the rectangle up into two right triangles and we will use the Pythagorean theorem to find the hypotenuse or the length from one corner to another. A^2 + B^2 = C^2 A and B are the lengths of the rectangle, 8 and 6. 8^2 + 6^2 = C^2

8^2 = 64 and 6^2 = 36

64 + 36 = 100.

the square root of 100 is 10 so the length of the hose is `10.

HELP PLEZ TRIGONOMETRY!

Answers

(2 \sin ^(2) \alpha-1)/(\sin \alpha+\cos \alpha) = sin \alpha - cos \alpha

Solution:

Given that we have to simplify:

(2 \sin ^(2) \alpha-1)/(\sin \alpha+\cos \alpha) ---- eqn 1

We know that,

sin^2 x = 1 - cos^2 x

Substitute the above identity in eqn 1

(2\left(1-\cos ^(2) \alpha\right)-1)/(\sin \alpha+\cos \alpha)

Simplify the above expression

(2-2 \cos ^(2) \alpha-1)/(\sin \alpha+\cos \alpha)

(1-2 \cos ^(2) \alpha)/(\sin \alpha+\cos \alpha) ------- eqn 2

By the trignometric identity,

(sin x + cos x)(sin x - cos x) = 1-2cos^2 x

Substitute the above identity in eqn 2

((\sin \alpha+\cos \alpha)(\sin \alpha-\cos \alpha))/(\sin \alpha+\cos \alpha)

Cancel the common factors in numerator and denominator

((\sin \alpha+\cos \alpha)(\sin \alpha-\cos \alpha))/(\sin \alpha+\cos \alpha)=\sin \alpha-\cos \alpha

Thus the simplified expression is:

(2 \sin ^(2) \alpha-1)/(\sin \alpha+\cos \alpha) = sin \alpha - cos \alpha

The tread life on tires produced at one factory has a standard deviation of sigma equals 4 comma 000 miles. What is the standard deviation of the sampling distribution of the sample means given the sample size is 4

Answers

Answer:

\sigma_x = 2000

Step-by-step explanation:

Given

\sigma = 4000

n = 4

Required

The sample standard deviation

The sample standard deviation cannot be calculated directly. However, we can use the value of standard error because standard error approximates to sample standard deviation.

So, we have:

\sigma_x = (\sigma)/(\sqrt n)

\sigma_x = (4000)/(\sqrt 4)

\sigma_x = (4000)/(2)

\sigma_x = 2000

Hence, the sample standard deviation is 2000

Find the rectangular prism with the given volume and height
V=96ft., h=8ft

Answers

V = l x w x h
96 = l x w x 8
divide both sides by 8
12 = l x w

the rectangular prisms other dimensions would be any positive combination of numbers that multiplies to 12.