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3 years ago

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Mary has a recipe for banana bread. She uses 712 cups of flour to make 3 loaves of banana bread. Andrea will follow the same rec

ipe. She will make b loaves of banana bread using f cups of flour. Which of these equations represents the relationship between b and f? Hint: How Much Flour Do you need for one loaf of bread?

2 answers:

Softa [21]3 years ago

6 0

237.3f= 1b. Explanation: is 712/3(237.3) so 1b is 237.3f

Tanya [424]3 years ago

4 0

237.3 you need to divide the cups of flour by the amount of loaves which is 3

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Dmitriy789 [7]

Answer:

a) $\bar X \sim N(40,\frac{5}{\sqrt{64}}=0.625)$

b) $P(39.6 \leq \bar X \leq 40.4)=0.4778$

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

Let X the random variable that represent interest on this case, and for this case we know the distribution for X is given by:

$X \sim N(\mu=40,\sigma=5)$

And let $\bar X$ represent the sample mean, the distribution for the sample mean is given by:

(a) What are the mean and standard deviation of the sampling distribution?

$\bar X \sim N(\mu,\frac{\sigma}{\sqrt{n}})$

On this case $\bar X \sim N(40,\frac{5}{\sqrt{64}}=0.625)$

(b) What is the approximate probability that x will be within 0.4 of the population mean μ? (Round your answer to four decimal places.) P =

So for this case we want this probability:

$P(40-0.4 \leq \bar X \leq 40+0.4)= P(39.6 \leq \bar X \leq 40.4)$

And for this case we can use the z score given by this formula:

$Z=\frac{\bar X -\mu}{\frac{\sigma}{\sqrt{n}}}$

And using this concept we got this:

$P(\frac{39.6 -40}{\frac{5}{\sqrt{64}}} \leq \frac{\bar X -\mu}{\frac{\sigma}{\sqrt{n}}} \leq \frac{40.4 -40}{\frac{5}{\sqrt{64}}})$

$P(-0.64 \leq Z \leq 0.64) =P(z$

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When Ryan is serving at a restaurant, there is a 0.75 probability that each party will order drinks with their meal. During one

Triss [41]

Answer:

0.82 = 82% probability that at least one party will not order drinks

Step-by-step explanation:

For each party, there are only two possible outcomes. Either they will order drinks with their meal, or they will not. The probability of a party ordering drinks with their meal is independent of other parties. So 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.

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This means that $p = 0.75$

During one hour, Ryan served 6 parties. Assuming that each party is equally likely to order drinks, what is the probability that at least one party will not order drinks?

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We want P(X < 6). So

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In which

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$P(X < 6) = 1 - P(X = 6) = 1 - 0.18 = 0.82$

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3 years ago

Read 2 more answers

WriteTwo Equivalent Ratios For The Given Ratio 9/10<br> ...?

DanielleElmas [232]

Equivalent ratios both the numerator and denominator by the same value, e.g.
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3 years ago

My question is in the attachment

Svetllana [295]

Answer:

x = 1

Step-by-step explanation:

$\frac{4x-1}{2}+\frac{3x+4}{3}= \frac{23}{6}$

$\frac{3(4x-1)}{6}+\frac{2(3x+4)}{6}= \frac{23}{6}$

$\frac{12x-3+6x+8}{6}=\frac{23}{6}$

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Therefore, x = 1 is the solution of the given expression.

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3 years ago