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3 years ago

Please help!!!! :) !!!!!!!!

Mathematics

1 answer:

Musya8 [376]3 years ago

6 0

Answer:

x = 3

Step-by-step explanation:

Since the triangles are congruent then corresponding sides are equal, thus

x - y = x + 2 ( subtract x from both sides )

- y = 2 ( multiply both sides by - 1 )

y = - 2

and

4x + 2y = 2x - y

substitute y = - 2

4x - 4 = 2x + 2 ( subtract 2x from both sides )

2x - 4 = 2 ( add 4 to both sides )

2x = 6 ( divide both sides by 2 )

x = 3

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Lengths of full-term babies in the US are Normally distributed with a mean length of 20.5 inches and a standard deviation of 0.9

mash [69]

Answer:

66.48% of full-term babies are between 19 and 21 inches long at birth

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 length of 20.5 inches and a standard deviation of 0.90 inches.

This means that $\mu = 20.5, \sigma = 0.9$

What percentage of full-term babies are between 19 and 21 inches long at birth?

The proportion is the p-value of Z when X = 21 subtracted by the p-value of Z when X = 19. Then

X = 21

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

$Z = \frac{21 - 20.5}{0.9}$

$Z = 0.56$

$Z = 0.56$ has a p-value of 0.7123

X = 19

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

$Z = \frac{19 - 20.5}{0.9}$

$Z = -1.67$

$Z = -1.67$ has a p-value of 0.0475

0.7123 - 0.0475 = 0.6648

0.6648*100% = 66.48%

66.48% of full-term babies are between 19 and 21 inches long at birth

5 0

2 years ago

Solve for L: A = L ⋅ W ⋅ H (1 point)

butalik [34]

Answer:

L= A/WH

Step-by-step explanation:

Off topic Btw it reminds me of area = length * width/height

7 0

3 years ago

Read 2 more answers

Which expression is equivalent to 1/4(8-6x+12)

ololo11 [35]

The answer is 5-3/2x. Hope this helps :)

8 0

3 years ago

Solve system by elimination y=x^2 y=x+2 SHOW YOUR WORK

Dimas [21]

We have that
y=x²----> equation 1
y=x+2-----> equation 2

multiply equation 1 by -1
-y=-x²

add equation 1 and equation 2
-y=-x²
y=x+2
------------
0=-x²+x+2-------------> -x²+x+2=0-----> x²-x-2=0

Group terms that contain the same variable, and move the constant to the opposite side of the equation

(x²-x)=2
Complete the square. Remember to balance the equation by adding the same constants to each side
(x²-x+0.5²)=2+0.5²

Rewrite as perfect squares

(x-0.5)²=2+0.5²
(x-0.5)²=2.25-----> (x-0.5)=(+/-)√2.25-----> (x-0.5)=(+/-)1.5
x1=1.5+0.5-----> x1=2
x2=-1.5+0.5---- > x2=-1

for x=2
y=x²----> y=2²----> y=4
the point is (2,4)

for x=-1
y=x²----> y=(-1)²---> y=1
the point is (-1,1)

the answer is
the solution of the system are the points
(2,4) and (-1,1)

3 0

3 years ago

Please help!! solve for x

tamaranim1 [39]

Hope that helps you :D

3 0

3 years ago