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Jackie invests $25,000, part at 5.5% annual interest and the balance at 8.3% annual interest. how much is invested at each rate

Verizon [17]

I am soo sorry i have eno idea
look it up

7 0

3 years ago

A car rental agency advertised renting a car for $ 23.95 per day and $ 0.32 per mile. of david rents this car for 4 days, how m

Taya2010 [7]

325 miles total.
23.95x4 =95.8
200-95.80
=$104.20
104.20 divided by.32 is 325.6 so in total 325 miles.

7 0

3 years ago

What is the probability that a random person who tests positive for a certain blood disease actually has the disease, if we know

xeze [42]

Answer:

Step-by-step explanation:

Hello!

Any medical test used to detect certain sicknesses have several probabilities associated with their results.

Positive (test is +) ⇒ P(+)

True positive (test is + and the patient is sick) ⇒ P(+ ∩ S)

False-positive (test is + but the patient is healthy) ⇒P(+ ∩ H)

Negative (test is -) ⇒ P(-)

True negative (test is - and the patient is healthy) ⇒ P(- ∩ H)

False-negative (test is - but the patient is sick) ⇒ P(- ∩ S)

The sensibility of the test is defined as the capacity of the test to detect the sickness in sick patients (true positive rate).

⇒ P(+/S) = P(+ ∩ S)

P(S)

The specificity of the test is the capacity of the test to have a negative result when the patients are truly healthy (true negative rate)

⇒ P(-/H) = P(- ∩ H)

P(H)

For this particular blood disease the following probabilities are known:

1% of the population has the disease: P(S)= 0.01

95% of those who are sick, test positive for it: P(+/S)= 0.95 (sensibility of the test)

2% of those who don't have the disease, test positive for it: P(+/H)= 0.02

The probability of a person having the blood sickness given that the test was positive is:

P(S/+)= P(+ ∩ S)

P(+)

The first step you need to calculate the intersection between both events + and S, for that you will use the information about the sickness prevalence in the population and the sensibility of the test:

P(+/S) = P(+ ∩ S)

P(S)

P(+/S)* P(S) = P(+ ∩ S)

P(+ ∩ S) = 0.95*0.01= 0.0095

The second step is to calculate the probability of the test being positive:

P(+)= P(+ ∩ S) + P(+ ∩ H)

Now we know that 1% of the population has the blood sickness, wich means that 99% of the population doesn't have it, symbolically: P(H)= 0.99

Then you can clear the value of P(+ ∩ H):

P(+/H) = P(+ ∩ H)

P(H)

P(+/H)*P(H) = P(+ ∩ H)

P(+ ∩ H) = 0.02*0.99= 0.0198

Next you can calculate P(+):

P(+)= P(+ ∩ S) + P(+ ∩ H)= 0.0095 + 0.0198= 0.0293

Now you can calculate the asked probability:

P(S/+)= P(+ ∩ S) = 0.0095 = 0.32

P(+) 0.0293

I hope it helps!

6 0

2 years ago

A group of college students are going to a lake house for the weekend and plan on renting small cars and large cars to make the

maxonik [38]

The students rented 4 small cars and 8 large cars.

Step-by-step explanation:

Given,

Number of people in small car = 4

Number of people in large car = 7

Total people in both type of cars = 72

Let,

x represent the number of small cars rented.

y represent the number of large cars rented.

According to given statement;

4x+7y=72 Eqn 1

y = 2x Eqn 2

Putting value of y from Eqn 2 in Eqn 1

$4x+7(2x)=72\\4x+14x=72\\18x=72$

Dividing both sides by 18

$\frac{18x}{18}=\frac{72}{18}\\x=4$

Putting x=4 in Eqn 2

$y=2(4)\\y=8$

The students rented 4 small cars and 8 large cars.

Keywords: linear equation, substitution method

Learn more about linear equations at:

#LearnwithBrainly

3 0

3 years ago

Iap/mmkj/aoe pls come

Umnica [9.8K]

Answer:

cap

Step-by-step explanation:

7 0

3 years ago