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Maslowich
3 years ago
13

A recipe requires 31 cup of milk for each 41 cup of water. How

Mathematics
1 answer:
avanturin [10]3 years ago
6 0

Step-by-step explanation:

here,

31 cup of milk require 41 cup of water.

1 cup of milk require 41/31 cup of water.

so, 41/31 cup of water is required for 1 cup of milk.

<em>hope</em><em> </em><em>u</em><em> </em><em>get</em><em> </em><em>it</em><em>.</em><em>.</em>

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Crisps <br> normal price £1.43 <br> three for the price of two<br> what is the total of 6 packets
Anettt [7]

Answer:

3 packs equal the price of two, therefore 1.43•2= 2.86

and 6 packs equal the price of 4, so 2.86•2= 5.72

7 0
3 years ago
Any kind of clue please need help on this
Nikolay [14]

Similar polygons are made through scaling either by stretching or squeezing the sides all by a common ratio. Here, the size changes. Congruent polygons are made by shifting or reflecting their position. Here, the size does not change.

Choice A has a dilution (or squeezing) and a translation (shifting). That makes similar polygons.

Choice B has a rotation. Nope.

Choice C has a shifting and a reflection. Nope.

Choice D has a rotation and shifting. Nope.


Thus choice A is best.

7 0
3 years ago
Stephen is using a map to plan a hike. The map is based on a scale of 1:40,000, in cm. If the route is 10 cm on the map, how man
kvasek [131]
1/40,000 = h/10
40,000h = 10
h = 10/40,000
h = 1/4,000
5 0
3 years ago
An article reports that 1 in 500 people carry the defective gene that causes inherited colon cancer. In a sample of 2500 individ
Ne4ueva [31]

Answer:

The approximate distribution of the number who carry this gene is approximately normal with mean \mu = 5 and standard deviation \sigma = 2.23

Step-by-step explanation:

For each person, there are only two possible outcomes. Either they carry the defective gene that causes inherited colon cancer, or they do not. The probability of a person carrying this gene is independent from other people. So the binomial probability distribution is used to solve this question.

A sample of 2500 individuals is quite large, so we use the binomial approximation to the normal to solve this question.

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

Can be approximated to a normal distribution, using the expected value and the standard deviation.

The expected value of the binomial distribution is:

E(X) = np

The standard deviation of the binomial distribution is:

\sqrt{V(X)} = \sqrt{np(1-p)}

Normal probability distribution

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

When we are approximating a binomial distribution to a normal one, we have that \mu = E(X), \sigma = \sqrt{V(X)}.

An article reports that 1 in 500 people carry the defective gene that causes inherited colon cancer.

This means that p = \frac{1}{500} = 0.002

In a sample of 2500 individuals, what is the approximate distribution of the number who carry this gene?

n = 2500

So

\mu = E(X) = np = 2500*0.002 = 5

\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{2500*0.002*0.998} = 2.23

So the approximate distribution of the number who carry this gene is approximately normal with mean \mu = 5 and standard deviation \sigma = 2.23

4 0
3 years ago
For what value of a are the lines of 6y=-2x+4 and 2y=ax-5 parallel? perpendicular?
masha68 [24]

Hey there!!

Parallel lines have the same slope. If they have different slope, then they are not parallel because both lines would combine at some point.

The y-intercept form:

<em>y = mx + b </em>

<u>In this equation, 'm' is considered to be the slope. </u>

The equation we have is 6y = -2x + 4

First, let's divide all the sides with 6 to isolate the value of 'y'.

... 6y = -2x + 4

... y = -1/3x + 2/3

<u><em>The slope is -1/3... </em></u>

<u><em>... hence the slope in the other equation should be -1/3. </em></u>

Equation we got...

... 2y = ax - 5

Let's divide by 2 on both sides...

... y = ax/2 - 5

The slope in this a/2

<u><em>Hence, ... </em></u>

<u><em>... a/2 = -1/3 </em></u>

<u><em>... 3a = -2 </em></u>

<u><em>... a = -2/3 </em></u>

<h2><u><em>Hence, the value of a is -2/3. </em></u></h2><h3><u><em>Hope my answer helps!</em></u></h3>
4 0
3 years ago
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