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3 years ago

Help please I might have a quiz soon!

Mathematics

1 answer:

Thepotemich [5.8K]3 years ago

5 0

Answer:

We are given that the two triangles are approximately equal or similar thus

angle M=angle Z = 124

angle L = angle X = 33

angle N= angle Y = ?

The total angles is 180, thus angle N or Y is 180- (124+33) = 23

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Use the distributive property to remove the parentheses.

ludmilkaskok [199]

Answer:

12-6u

Step-by-step explanation:

To remove the parenthesis, we must multiply the number on the outside to each value within the parenthesis

This means that

$6(2-u)\\\\6*2-6*u\\\\12-6u$

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3 years ago

Each diagram is made of smaller, identical pieces. Tell how many pieces you would say to model the given percent.

Brilliant_brown [7]

To model 75% of 16 pieces you would shade in 12 because 12/16=75%/100.

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3 years ago

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One bag contains 3/5 kg of corn. A farmer feeds his chickens 4 bags of corn each week. How many kilograms of corn do they eat ea

saveliy_v [14]

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3 years ago

What do mathematicians do after a snowstorm

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3 years ago

Suppose 30% of the U.S. population has green eyes. If a random sample of size 1200 U.S. citizens is drawn, then the probability

galina1969 [7]

Answer:

P(X is less than 348) = 0.2148

Step-by-step explanation:

Given that:

Sample proportion (p) = 0.3

Sample size = 1200

Let X be the random variable that obeys a binomial distribution. Then;

$X \sim Bin(n = 1200,p =0.3)$

The Binomial can be approximated to normal with:

$\mu = np = 1200 \times 0.3 \\ \\ \mu= 360$

$\sigma = \sqrt{np(1-p) } \\ \\ \sigma = \sqrt{1200 \times (0.3)(1-0.3) } \\ \\ \sigma = 15.875$

To find:

P(X< 348)

So far we are approximating a discrete Binomial distribution using the continuous normal distribution. 348 lies between 347.5 and 348.5

Normal distribution:

x = 347.5, $\mu$ = 360, $\sigma$ = 15.875

Using the z test statistics;

$z = \dfrac{x - \mu}{\sigma}$

$z = \dfrac{347.5 - 360}{15.875}$

$z = \dfrac{-12.50}{15.875}$

z = -0.7874

z ≅ - 0.79

The p-value for P(X<347.5) = P(Z < -0.79)

From the z tables;

P(X<347.5) = 0.2148

Thus;

P(X is less than 348) = 0.2148

3 0

3 years ago