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zheka24 [161]
4 years ago
14

What is the answer to 210 heartbeats in 3 minutes what is the unit rate

Mathematics
1 answer:
S_A_V [24]4 years ago
3 0
For this question you have to find how many heartbeats are in 1 minute.
So if you divide 210 by 3 you get 70
So, my answer here would be. 70 heartbeats per minute
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A certain virus infects one in every 200 people. a test used to detect the virus in a person is positive 70​% of the time when t
V125BC [204]

We're told that

P(A)=\dfrac1{200}=0.005\implies P(A^C)=0.995

P(B\mid A)=0.7

P(B\mid A^C)=0.05

a. We want to find P(A\mid B). By definition of conditional probability,

P(A\mid B)=\dfrac{P(A\cap B)}{P(B)}

By the law of total probability,

P(B)=P(B\cap A)+P(B\cap A^C)=P(B\mid A)P(A)+P(B\mid A^C)P(A^C)

Then

P(A\mid B)=\dfrac{P(B\mid A)P(A)}{P(B\mid A)P(A)+P(B\mid A^C)P(A^C)}\approx0.0657

(the first equality is Bayes' theorem)

b. We want to find P(A^C\mid B^C).

P(A^C\mid B^C)=\dfrac{P(A^C\cap B^C)}{P(B^C)}=\dfrac{P(B^C\mid A^C)P(A^C)}{1-P(B)}\approx0.9984

since P(B^C\mid A^C)=1-P(B\mid A^C).

4 0
3 years ago
Help plz show work I need to have all Aś this year Only do 18,20,24,22,28,26,30,32,
Veseljchak [2.6K]

Answer:  see below

<u>Step-by-step explanation:</u>

The "point" on the inequality symbol points to the smaller number

  • <  is the "less than" inequality symbol
  • > is the "greater than" inequality symbol
  • = is the "equal" symbol

18) 3 = 3

20) \sqrt6 < \sqrt{10}

22) 0.8 = 4/5      Note: 4÷5 is 0.8

26) 0.075 < 0.39

28) -5.2 < -4.8

30) 0.4 > \sqrt{0.4}

32) \sqrt5 < \sqrt7

6 0
3 years ago
Use the distributive property to remove the parentheses. -6(11 - 2)​
salantis [7]

Answer:

-66+12 or -54

Step-by-step explanation:

To remove the parenthesis multiply the number outside of the parenthesis (in this case -6) to the numbers inside of the parenthesis (11, and -2).

-6*11=-66

A negative multiplied by a positive is a negative.

-6*-2=12

A negative multiplied by a negative is a positive.

-66+12=-54

7 0
3 years ago
What is the radius of a circle whose equation is x2 + y2 + 8x – 6y + 21 = 0?
s344n2d4d5 [400]

Answer:

2 units

Step-by-step explanation:

The given equation of the circle is:

x^{2} + y^{2}+8x-6y+21=0

The general equation of the circle is:

x^{2} + y^{2}+2gx+2fy+c=0

Comparing the given equation with the general equation we can say:

g = 4

f = -3

c = 21

The formula for radius of the circle is:

radius=\sqrt{g^{2} +f^{2} -c }

Using these values of the given circle, we get:

radius=\sqrt{(4)^{2}+(-3)^{2}-21}\\\\radius=\sqrt{4}\\\\radius=2

Therefore, the length of radius of the given circle is 2.

3 0
3 years ago
24. If Jenna spent 30 hours on the computer this week. how much total time did she spend on
Verdich [7]

Option B) 3 hours is the time spent by Jenna on the e-mail this week.

<u>Step-by-step explanation:</u>

Jenna spent 30 hours on the computer this week.

The amount of time she spends on computer to work on various fields in given in the pie-chart.

This 30 hours represents her 100% work on computer.

From the figure shown,

She spent 10% of her total work on e-mail.

Therefore, 10% of 30 is the work done in hours by her on e-mail.

⇒ (10/100) × 30

⇒ 0.1 × 30

⇒ 3 hours

∴ Option B) 3 hours is the time spent by Jenna on the e-mail this week.

7 0
3 years ago
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