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navik [9.2K]
3 years ago
6

Sophia needs 1 1/4 cups of honey to make 5 batches of snack bars . What is the number of cups of honey she will need to make 1 b

atch of snack bars?
Mathematics
1 answer:
Wewaii [24]3 years ago
3 0
Hello!

1 1/4 = 1.25

Sophia needs 1.25 cups of honey to make five batches of snack bars.
To find out how much honey she needs for each batch, simply divide the amount of cups needed for five batches by five batches.

1.25 ÷ 0.25

0.25 = 1/4 as a fraction

ANSWER:

Sophia will need 1/4 (0.25) cups of honey for 1 batch of snack bars.
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When doing blood testing for a viral infection, the procedure can be made more efficient and less expensive by combining partial
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Answer:

0.1694 = 16.94% probability of a positive result for three samples combined into one mixture.

Step-by-step explanation:

For each test, there are only two possible outcomes. Either it is positive, or it is negative. The probability of a test being positive or negative is independent of any other test, which means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

The probability of an individual blood sample testing positive for the virus is 0.06.

This means that p = 0.06

If samples from three people are combined and the mixture tests negative, we know that all three individual samples are negative. Find the probability of a positive result for three samples combined into one mixture.

It will be positive if at least one of the tests is positive, that is:

P(X \geq 1) = 1 - P(X = 0)

In which

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 0) = C_{3,0}.(0.06)^{0}.(0.94)^{3} = 0.8306

Then

P(X \geq 1) = 1 - P(X = 0) = 1 - 0.8306 = 0.1694

0.1694 = 16.94% probability of a positive result for three samples combined into one mixture.

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you worked 6 and three fourths hours on Monday Seven and one fourth on Tuesday eight and one fourth on wendsey seven and one fou
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Answer:

37.25

Step-by-step explanation:

6.75+7.25+8.25+7.25+7.75=37.25

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Answer:

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How long does it take a 2700 dollar investment compounded monthly at 9% to make 500 dollars
valina [46]

Answer:

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Also please note that it's everytime ^t/12 not (^t)/12

Step-by-step explanation:

Principal (P) = $2700

rate = 9%

t = ?

Amount = P(1+\frac{r}{100} )^(t/12)

Amount = 2700 +500 = $3200

So substituting all our values we get :

3200 = 2700(1+\frac{9}{100})^(t/12)\\ 3200=2700(1+0.09)^(t/12)\\3200 = 2700(1.09)^(t/12)\\\frac{3200}{2700}  =1.09^(t/12)

So we use log to solve for t :

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Solving this using a calculator we get:

1.9714966193*12

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