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Alona [7]
3 years ago
8

on Tuesday katy ran a mile inv8.34 minutes she ran another mile in 7.89 minutes on Wednesday what was the total time for both mi

les
Mathematics
2 answers:
Elden [556K]3 years ago
4 0
Katy ran a total of 11.23 miles on Wednesday 
asambeis [7]3 years ago
3 0
16.23
in this problem you basically add the minuets together such as 8.34+7.89.
Hope this helped=)
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Pentagon RSTUV is circumscribed about a circle. What is the value of x if RS = 10, ST = 13, TU = 11, UV = 12, and VR = 12?
Kobotan [32]

Answer:

Step-by-step explanation:

The value of x is 7 ⇒ 1st answer

Step-by-step explanation:

* Lets revise a fact in the circle

- The two tangents drawn from a point out side the circle are equal

∵ RSTUV is circumscribed about a circle

∴ Each side of the pentagon is a tangent to the circle

- Look to the attached figure to know how we will solve the problem

- Each tangent divided into two parts

# RS = x + y

∵ RS = 8

∴ x + y = 8 ⇒ (1)

# RV = x + n

∵ RV = 12

∴ x + n = 12 ⇒ (2)

- Subtract (2) from (1)

∴ y - n = -4 ⇒ (3)

# ST = y + z

∵ ST = 12

∴ y + z = 12 ⇒ (4)

# TU = z + m

∵ TU = 15

∴ z + m = 15 ⇒ (5)

- Subtract (5) from (4)

∴ y - m = -3 ⇒ (6)

# UV = m + n

∵ UV = 9

∴ m + n = 9 ⇒ (7)

- Add (6) and (7)

∴ y + n = 6 ⇒ (8)

- Lets solve equation (3) and equation (8) to find y

∵ y - n = -4 ⇒ (3)

∵ y + n = 6 ⇒ (8)

- Add (3) and (8)

∴ 2y = 2 ⇒ divide two sises by 2

∴ y = 1

- Lets substitute the value of y in equation (1)

∵ x + y = 8 ⇒ (1)

∵ y = 1

∴ x + 1 = 8 ⇒ subtract (1) from both sides

∴ x = 7

* The value of x is 7

plz mark me as brainlyist thxx

7 0
3 years ago
Read 2 more answers
⦁ Use both methods to find the distance between the points on the number line.
Vitek1552 [10]

Answer:

4 and 4

Step-by-step explanation:

Method A

1) Method A: Let 2 be the starting point and -2, the finishing one. Counting between 2 and -2, we can count a distance of 4 units. That's the simplest way, but not convenient to great numbers on the Number Line.

Method B:

There is no such thing as a negative distance, as a physical quantity. So this is the reason why we need to compute the absolute value of two numbers, which is simply what was done on Method B.

|2-(-2)|=|4|=4

As we are dealing with absolute values, the order is not relevant after all, the result remains the same. Take a look:

|-2-2|=|-4|=4

That's why the greater (2) or the lesser number (-2) can be the subtrahend (in bold within the brackets.

3 0
3 years ago
Suppose a particular type of cancer has a 0.9% incidence rate. Let D be the event that a person has this type of cancer, therefo
natita [175]

Answer:

There is a 12.13% probability that the person actually does have cancer.

Step-by-step explanation:

We have these following probabilities.

A 0.9% probability of a person having cancer

A 99.1% probability of a person not having cancer.

If a person has cancer, she has a 91% probability of being diagnosticated.

If a person does not have cancer, she has a 6% probability of being diagnosticated.

The question can be formulated as the following problem:

What is the probability of B happening, knowing that A has happened.

It can be calculated by the following formula

P = \frac{P(B).P(A/B)}{P(A)}

Where P(B) is the probability of B happening, P(A/B) is the probability of A happening knowing that B happened and P(A) is the probability of A happening.

In this problem we have the following question

What is the probability that the person has cancer, given that she was diagnosticated?

So

P(B) is the probability of the person having cancer, so P(B) = 0.009

P(A/B) is the probability that the person being diagnosticated, given that she has cancer. So P(A/B) = 0.91

P(A) is the probability of the person being diagnosticated. If she has cancer, there is a 91% probability that she was diagnosticard. There is also a 6% probability of a person without cancer being diagnosticated. So

P(A) = 0.009*0.91 + 0.06*0.991 = 0.06765

What is the probability that the person actually does have cancer?

P = \frac{P(B).P(A/B)}{P(A)} = \frac{0.91*0.009}{0.0675} = 0.1213

There is a 12.13% probability that the person actually does have cancer.

3 0
3 years ago
Simplify the following expression 8x+9-6x-7
mamaluj [8]
8x + -6x = 2x 2 + 2x
4 0
3 years ago
Read 2 more answers
in 1990 there were about 5.4 billion people in the world. if the population has been growing at 1.95% per year, estimate the yea
kompoz [17]

Answer:

2011

Step-by-step explanation:

Here is the formula.

A=P(1+r)^{n}

A = Final Value

P = Starting Value

R = Rate

N = Time in Years

A = 8,000,000,000

P = 5,400,000,000

R = 0.0195

N = Time in Years

Solve for n.

20.35 Years from 1990; so sometime in 2011 the population would be 8 billion.

6 0
2 years ago
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