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3 years ago

Solve please I do not understand at all and please show work!

Mathematics

1 answer:

lina2011 [118]3 years ago

8 0

So the recipe calls for 96 grams of sugar, and one cup is 128 grams of sugar.

She added a half of a cup, and as they said before one cup was 128 grams of sugar. So half of 128 is 64. So she added 64 grams of sugar. The recipe needs 96 grams so 64 grams is not enough sugar.

So 96 grams minus 64 equals 32 grams. So she still needs 32 grams of sugar.

So since the answers are all in cups, we must convert our answer from grams to cups.

So we have 32 grams of sugar left and to convert it we must put the 32 grams out of one cup. Once again one cup is 128 grams of sugar. So the amount of cups we need is 32/128 (fraction).

Also we need to simplify our fraction to completely answer the question. So we divide the numerator and denominator by 32.

So the final answer is 1/4. So the answer is D or the last answer out of the multiple choice.

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What is the nearest hundredth of 2.6666

Advocard [28]

2.66

i need to write 20 characters so im typing this

5 0

3 years ago

Which ordered pair is a solution of this

Lostsunrise [7]

It would be (0,-4).
If you do 9(0) + 7(-4) it would be 0 + -28 which equals -28.

7 0

3 years ago

Find the 96th term of the arithmetic sequence -3, -14, -25, ...

lana [24]

Answer:

-1059

Step-by-step explanation:

Katelyn, this is super easy to understand.

Anyways, to find the 96th term of the sequence, first subtract -14 and -3. You may be thinking it is -17, but it is not. -17 is only if you are subtracting -14 and 3.

(-14) - (-3) = -14 + 3 = -11.

That means the difference between each number is -11.

Now all you have to do is take the -11 and multiply it by 96, which is -1056. Then, add the -1056 to -3, which is -1059. That should be your answer.

Your school may have taught you a different way, but this is my way.

4 0

3 years ago

Laura made 45 hats. Laura made 5 times as many hats as Carlos, Let h be the number of hats that Carlos made.

Anestetic [448]

45 = 5h. To find h, divide each side by 5.

9 = h. To ensure we have the correct answer, plug 9 into our original equation.

45 = 5(9)

45 = 45

Carlos made 9 hats.

8 0

3 years ago

Suppose that X has a Poisson distribution with a mean of 64. Approximate the following probabilities. Round the answers to 4 dec

o-na [289]

Answer:

(a) The probability of the event (X > 84) is 0.007.

(b) The probability of the event (X < 64) is 0.483.

Step-by-step explanation:

The random variable X follows a Poisson distribution with parameter λ = 64.

The probability mass function of a Poisson distribution is:

$P(X=x)=\frac{e^{-\lambda}\lambda^{x}}{x!};\ x=0, 1, 2, ...$

(a)

Compute the probability of the event (X > 84) as follows:

P (X > 84) = 1 - P (X ≤ 84)

$=1-\sum _{x=0}^{x=84}\frac{e^{-64}(64)^{x}}{x!}\\=1-[e^{-64}\sum _{x=0}^{x=84}\frac{(64)^{x}}{x!}]\\=1-[e^{-64}[\frac{(64)^{0}}{0!}+\frac{(64)^{1}}{1!}+\frac{(64)^{2}}{2!}+...+\frac{(64)^{84}}{84!}]]\\=1-0.99308\\=0.00692\\\approx0.007$

Thus, the probability of the event (X > 84) is 0.007.

(b)

Compute the probability of the event (X < 64) as follows:

P (X < 64) = P (X = 0) + P (X = 1) + P (X = 2) + ... + P (X = 63)

$=\sum _{x=0}^{x=63}\frac{e^{-64}(64)^{x}}{x!}\\=e^{-64}\sum _{x=0}^{x=63}\frac{(64)^{x}}{x!}\\=e^{-64}[\frac{(64)^{0}}{0!}+\frac{(64)^{1}}{1!}+\frac{(64)^{2}}{2!}+...+\frac{(64)^{63}}{63!}]\\=0.48338\\\approx0.483$

Thus, the probability of the event (X < 64) is 0.483.

5 0

3 years ago