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3 years ago

Which relationship is always true for the angles x, y, and z of triangle ABC?

Mathematics

2 answers:

stich3 [128]3 years ago

4 0

C because all the angles have to add up to 180

Anastaziya [24]3 years ago

3 0

C! All angels add up to be 180 degrees

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Student scores on exams given by a certain instructor have mean 74 and standard deviation 14. This instructor is about to give t

Lapatulllka [165]

Answer:

$P(\bar X >80)=P(Z>2.143)=1-P(z$

Step-by-step explanation:

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".

Let X the random variable that represent the Student scores on exams given by a certain instructor, we know that X have the following distribution:

$X \sim N(\mu=74, \sigma=14)$

The sampling distribution for the sample mean is given by:

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

The deduction is explained below we have this:

$E(\bar X)= E(\sum_{i=1}^{n}\frac{x_i}{n})= \sum_{i=1}^n \frac{E(x_i)}{n}= \frac{n\mu}{n}=\mu$

$Var(\bar X)=Var(\sum_{i=1}^{n}\frac{x_i}{n})= \frac{1}{n^2}\sum_{i=1}^n Var(x_i)$

Since the variance for each individual observation is $Var(x_i)=\sigma^2$ then:

$Var(\bar X)=\frac{n \sigma^2}{n^2}=\frac{\sigma}{n}$

And then for this special case:

$\bar X \sim N(74,\frac{14}{\sqrt{25}}=2.8)$

We are interested on this probability:

$P(\bar X >80)$

And we have already found the probability distribution for the sample mean on part a. So on this case we can use the z score formula given by:

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

Applying this we have the following result:

$P(\bar X >80)=P(Z>\frac{80-74}{\frac{14}{\sqrt{25}}})=P(Z>2.143)$

And using the normal standard distribution, Excel or a calculator we find this:

$P(Z>2.143)=1-P(z$

6 0

4 years ago

Please help I really need help because I have to turn it in soon and yeah so comment

BartSMP [9]

Answer:

Step-by-step explanation:

4- 3*1=3

6*1/100= 0.06

3+0.06= 3.06

5- 7*1= 7

3*1/10= 0.3

4*1/1,000= 0.004

7+0.3+0.004= 7.304

7- 3.3, 3.30

8- 9.3000, 9.30

9- 9.6, 9.600

10- 4.4000, 4.40

for #4-5 just put the number of 0s in the denominator of the fraction for the answer

3 0

3 years ago

A taxi company charges passengers $2.00 for a

Kipish [7]

Answer:

The graph of the function rule will be a line segment connecting (0,2) and (40,22) as shown in the graph below.

Step-by-step explanation:

Given:

The function rule representing the total cost of ride and number of miles traveled is:

$C=0.5m+2$

Now, the maximum value of $m$ is 40.

So, the maximum cost of ride is given as:

$C_{max}=0.5(40)+2=20+2=22$

So, the graph of the given function rule has a domain between 0 and 40 and range is between 2 and 22.

The graph is shown below.

7 0

3 years ago

Pls Need Answer Now!!

iris [78.8K]

Answer:

Option B, 14.6 units

Step-by-step explanation:

Step 1: Find the distance of AB

$AB =$ $\sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$

$AB =$ $\sqrt{(3 - 1)^2 + (5 - 3)^2}$

$AB =$ $\sqrt{(2)^2 + (2)^2}$

$AB =$ $2\sqrt{2}$ or 2.83...

Step 2: Find the distance of BC

$BC =$ $\sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$

$BC = \sqrt{(3 -1)^2 + (-1 - 3)^2}$

$BC = \sqrt{(2)^2 + (-4)^2}$

$BC = \sqrt{4 + 16}$

$BC = \sqrt{20}$

$BC = 2\sqrt{5}$ or 4.47...

Step 3: Find the perimeter

AB is the same as AD and BC is the same as DC

$2(AB) + 2(BC)$

$2(2.83) + 2(4.47)$

$5.66 + 8.94$

14.6 units

Answer: Option B, 14.6 units

5 0

3 years ago

What is the answer to 3b+b+6

AysviL [449]

Add all the like terms

3b + b = b(3 + 1) = 4b

So, 3b + b + 6 = 4b + 6

7 0

3 years ago

Read 2 more answers