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3 years ago

2 questions please help me :) thanks if you do

Mathematics

2 answers:

yulyashka [42]3 years ago

8 0

My answer for 1 was D and my answer for 2 was A.

mezya [45]3 years ago

5 0

Answer:

(1) 6,4

(2) 5,6

Step-by-step explanation:

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A study of homeowners in the 5th congressional district in Maryland found that their annual household incomes are normally distr

tino4ka555 [31]

Answer:

The minimum income level for this target group is of $51,253.6.

Step-by-step explanation:

Normal Probability Distribution

Problems of normal distributions can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the z-score 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 p-value, we get the probability that the value of the measure is greater than X.

Mean of $41,182 and a standard deviation of $11,990

This means that $\mu = 41182, \sigma = 11990$

Find the minimum income level for this target group.

The 100 - 20 = 80th percentile, which is X when Z has a p-value of 0.8, so X when Z = 0.84.

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

$0.84 = \frac{X - 41182}{11990}$

$X - 41182 = 0.84*11990$

$X = 51253.6$

The minimum income level for this target group is of $51,253.6.

4 0

3 years ago

Factorise 4a²_4ab+b²<br>

Natalija [7]

Answer:

$(2a -b)^2$

Step-by-step explanation:

7 0

3 years ago

Identify the reflection rule in the given figure.

saul85 [17]

Answer: A) Reflection along the line y = -1

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Explanation:

Point A is at (1,5). Point A' is at (1,-7).

Apply the midpoint formula to find the center of these two points.

You should get (1,-1) as that midpoint.

Follow these steps for B(-1,3) and B'(-1,-5) to get the midpoint (-1,-1)

Those midpoints we found are located on the mirror line. We only need two such points to plot it. Drawing a line through (1,-1) and (-1,-1) graphs the equation y = -1. This is the horizontal line through -1 on the y axis.

7 0

3 years ago

Help help<br><br> Order these fractions from least to greatest.

Dmitrij [34]

Answer:

$\frac{5}{9}, \frac{7}{9}, \frac{8}{9}$

Step-by-step explanation:

The answer is: $\frac{5}{9}, \frac{7}{9}, \frac{8}{9}$

And this question isn't to difficult, and the trick is realizing they all have the same denominator.

The denominator is essentially saying how many pieces of the whole (1) is being broken into.

So the denominator 9, means that you're breaking up the number 1 into 9 pieces.

The numerator is telling us how many pieces of this "broken up 1" the number has.

So 8/9 has more of these "broken up pieces" than 7/9, and it's so vitally important that these numbers have the same denominator.

For example: 1/2 and 30/90

30/90 may appear to be bigger, since the numerator of 30, but it's actually smaller.

The reason for this is because we can simplify it to: 1/3 by dividing both sides by 30 so the value remains the same.

Now we can actually compare 1/2 and 1/3 without changing the denominators.

1/3 is "one piece" of a broken up one, that was "broken" into 3 pieces.

1/2 is "one piece" of a broken up one, that was "broken" into 2 pieces.

So if I split one whole, into three pieces, each individual piece is going to be smaller than had I split that one whole into 2 pieces.

So 1/2 is actually bigger than 1/3

8 0

1 year ago

5/9 = ?/54 whats the answer

Shkiper50 [21]

Answer:

30/54

Step-by-step explanation:

1st make and equation so 5/9=x/54

now cross-multiply.

5/9=x/54

(5)*(54)=x*(9)

270=9x

you can flip the equation.

9x=270 (next divide both sides by 9)

x=30

so 30/54=5/9

hope this helps :)

5 0

3 years ago