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2 years ago

14

Which city is cooler, Mobile (3°F) or Memphis (9°F)?

1 answer:

a_sh-v [17]2 years ago

3 0

Mobile is cooler. 3F is lower than 9F. In celsius, 3F would be -16 while 9F would be -12. Both cities would be really cold, but Mobile would be colder.

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James is four years younger than Austin. If three times James' age is increased by the square of Austin's age, the result is 28.

lara31 [8.8K]

Let's use J for James's age and A for Austin's age. The equations are:

J = A - 4
3J + A² = 28

Just plug (A - 4) in the place of J in the second equation. This gives you:

3(A - 4) + A² = 28
-->
A² + 3A - 12 = 28
-->
A² + 3A - 40 = 0
-->
(A - 5)(A + 8) = 0
-->
A = 5 or -8

-8 is nonsense, so Austin is 5 years old. Therefore, James is 1 year old.

7 0

1 year ago

sophie makes homemade pizza dough.The recipe calls for 2 cups of flour for every 1/3 cup of water.What is the rate in cups of fl

Zarrin [17]

Answer:

the rate is: 6 cups of flour per cup of water

Step-by-step explanation:

Recall that rate involve quotient of the two quantities in question:

Then cups of flour per cups of water is the quotient: 2 cups of flour divided by 1/3 cup of water:

$\frac{2}{\frac{1}{3} } =2\,*\,\frac{3}{1} = 6$

this means 6 cups of flour per cup of water

6 0

2 years ago

Read 2 more answers

isco Fever is randomly found in one half of one percent of the general population. Testing a swatch of clothing for the presence

maks197457 [2]

Answer:

0.8894 is the probability that the test result comes back negative if the disease is present .

Step-by-step explanation:

We are given the following in the question:

P(Disco Fever) = P( Disease) =

$P(D) = \dfrac{1}{2}\times 1\% = 0.5 \times 0.01 = 0.005$

Thus, we can write:

P(No Disease) =

$P(ND) =1 - P(D)= 0.995$

P(Test Positive given the presence of the disease) = 0.99

$P(TP | D ) = 0.99$

P( false-positive) = 4%

$P( TP | ND) = 0.04$

We have to evaluate the probability that the test result comes back negative if the disease is present, that is

P(test result comes back negative if the disease is present)

By Bayes's theorem, we can write:

$P(ND|TP) = \dfrac{P(ND)P(TP|ND)}{P(ND)P(TP|ND) + P(D)P(TP|D)}\\\\P(ND|TP) = \dfrac{0.995(0.04)}{0.995(0.04) + 0.005(0.99)} = 0.8894$

0.8894 is the probability that the test result comes back negative if the disease is present .

5 0

2 years ago

Lucas and his sister Luisa are saving to buy a birthday present for their mother. The present costs $95. Lucas earns $16 per wee

Radda [10]

Your answer should be c

5 0

2 years ago

Of the 100 students enrolled at the dance studio, 50 take ballet and 24 take tap dancing. Eight of the students who take ballet

Soloha48 [4]

Answer:

42 over 100

Step-by-step explanation:

8 0

2 years ago

Read 2 more answers