find the angle measure given extended triangles

help pls

Answer:

Range = 23

IQR= 14.5

Step-by-step explanation:

Range is the biggest number- smallest number

so 30-7=23

IQR - Interquartile range = upper quartile - lower quartile

24-9.5=14.5

Answer:

y= -2x +3

Step-by-step explanation:

Answer:

342.24 units²

Step-by-step explanation:

The area of one of the 8 triangular sections of the octagon is ...

A = (1/2)r²·sin(θ) . . . . . where θ is the central angle of the section

The area of the octagon is 8 times that, so is ...

A = 8·(1/2)·11²·sin(360°/8) = 242√2

A ≈ 342.24 units²

9514 1404 393

Answer:

Step-by-step explanation:

The order of operations tells you to evaluate parentheses first.

Step 1: simplify (12+1) and (4+15)

  39÷13 -2×19

Then it tells you to do multiplication and division, left to right.

Step 2: divide 39÷13

  3 -2×19

Step 3: multiply 2×19

  3 -38

Finally, addition and subtraction are done, left to right.

Step 4: subtract 38 from 3

  -35

Answer:

There are 212.89 miles from Tallahassee to Daytona Beach in southeast direction and 251 miles (403.95 kilometers) .

Answer:  moles gastronomy

Step-by-step explanation: oioiooi Baka

Answer:

4g

Step-by-step explanation:

Answer:

73

Step-by-step explanation:

Answer:

The two consecutive integers are 6 and 8 or -8 and -6.

Step-by-step explanation:

The product of two consecutive even integers is 48, and we want to find the two integers.

We will let x represent the first even integer.

Then the consecutive even integer will be (x + 2).

Its product is 48. Therefore:

[tex]x(x+2)=48[/tex]

Solve for x. Since this is a quadratic, we should get one side to equal to 0. Expand:

[tex]x^2+2x=48[/tex]

Subtract 48 from both sides:

[tex]x^2+2x-48=0[/tex]

Factor:

[tex](x+8)(x-6)=0[/tex]

Zero Product Property:

[tex]x+8=0\text{ or } x-6=0[/tex]

Solve for each case:

[tex]x=-8\text{ or } x=6[/tex]

Therefore, our two consecutive integers are 6 and 8 or -8 and -6.

9514 1404 393

Answer:

Step-by-step explanation:

It might be helpful to think of the % symbol as being interchangeable with /100.

133 1/2% = (133 1/2)/100 = 267/200 = 1.335

87 1/3% = (87 1/3)/100 = 262/300 = 131/150 = 0.8733333... (repeating 3)

0.01% = 0.01/100 = 1/10000 = 0.0001

8 1/3% = (8 1/3)/100 = 25/300 = 1/12 = 0.0833333... (repeating 3)

Answer:

Step-by-step explanation:

simplify

4x-12=28

4x=40

x=10

---------{NOTICE}----------

If you have any additional questions the best way to reach me is via discord

user: michaelsaltandpepper#0001

Answer:

x+1.85 = 5.30

Step-by-step explanation:

Answer:

No, because the number of trials is not fixed.

Step-by-step explanation:

a. pe. x

Answer:B

Step-by-step explanation: khan - There is no fixed number of trials , so D is not a binomial variable.

Answer:

[tex]\text{Axis of symmetry: }x=-2\\\text{Vertex: }x=-2,\ y=10[/tex]

Step-by-step explanation:

[tex]y=-2x^2-8x+2\\\\\text{Solving }y=0:\\-2x^2-8x+2=0\\x=-2\pm\sqrt{5}\text{ (Using the quadratic formula)}\\\\\text{Finding mid-point (x-coordinate):}\\\frac{-2+\sqrt{5}-2-\sqrt{5}}{2}=-2\\\\\therefore\text{Vertex: }x=-2,\ y=10\\\text{Axis of symmetry: }x=-2[/tex]

Answer:

a = 6

Step-by-step explanation:

Given:

[tex]-8 + \sqrt{5a-5} = -3[/tex]

Assuming that the goal is to solve for a, we should aim to isolate a using a backwards process.

First step: add 8 to both sides, resulting in:

[tex]\sqrt{5a-5} = 5[/tex]

Second step: Next we need to square both sides, getting us:

[tex]5a - 5 = 25[/tex]

Third step: We now can add 5 to get an isolated monomial:

[tex]5a = 30[/tex]

Fourth Step: Finally, divide by 5 to get:

[tex]a = 6[/tex]

Answer:

3

Step-by-step explanation:

Rewrite the logarithmic notation to index notation.

4^x=64

Change 64 to index notation

ie 64 = 4^3

Since the base is the same(4) cancel them out

You remain with x = 3

Answer:

I think they are all Quadrilateral since they all have 4sides

Answer:

A) 192

Step-by-step explanation:

20% = 0.2

240(0.2) = 48

This means $48 will be taken from the original price so:

240 - 48 = 192

Answer:

c

the total number of marbles are 12 and there are 3 colours so you divide 12 by 3

Answer:

x is not equal to 4

Step-by-step explanation:

all you have to do is subtract the 3 carry the 5 add the extra 20 and then minus 23

Answer:

(3,3)

Step-by-step explanation:

Answer:

An obtuse angle has a measurement greater than 90 degrees but less than 180 degrees.

Step-by-step explanation:

Answer:

The expected profit after one year is of $150.

Step-by-step explanation:

Probabilities after one year:

35% probability of losing $1,000, that is, 35% probability of a profit of -$1,000.

60% probability of still having a value of $1,000, that is, 60% probability of a profit of $0.

5% probability of a increase in value of $10,000, that is, a profit of $10,000.

Find the expected profit after one year.

Each value is multiplied by its probability. So

[tex]E = -0.35*1000 + 0.6*0 + 0.05*10000 = 150[/tex]

The expected profit after one year is of $150.

Answer:

Possibly tell someone some dramatic news or put them into a dramatic situation? I'm not quite sure but that's a way to get a reaction.

Step-by-step explanation:

Answer:

Loses its value

Step-by-step explanation:

Inflation is the decrease in the purchasing power of a currency. That is, when the of prices rise, each person can buy fewer goods and services in aggregate.

Answer:

480. Since each one is 120 and there are 4 of them then its 120*4

Step-by-step explanation:

Answer:

Pvalue of the test is 0.0618 > 0.01, which means that this sample does not provide sufficient evidence at the .01 significance level that the check verification system is effective.

Step-by-step explanation:

A check cashing service found that approximately 5% of all checks submitted to the service were fraudulent.

This means that the null hypothesis is:

[tex]H_{0}: p = 0.05[/tex]

Test if the check verification system is effective:

If it is effective, the proportion will decrease, so we are going to test if after the change the proportion is lower than 0.05, that is:

[tex]H_{a}: p < 0.05[/tex]

The test statistic is:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.

0.05 is tested at the null hypothesis:

This means that

[tex]\mu = 0.05[/tex]

[tex]\sigma = \sqrt{0.05*0.95}[/tex]

After instituting a check-verification system to reduce its losses, the service found that only 45 checks out of a random sample of 1124 were fraudulent.

This means that [tex]n = 1124, X = \frac{45}{1124} = 0.04[/tex]

Value of the test statistic:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

[tex]z = \frac{0.04 - 0.05}{\frac{\sqrt{0.05*0.95}}{\sqrt{1124}}}[/tex]

[tex]z = -1.54[/tex]

Pvalue of the test and decision:

Probability of finding a sample proportion lower than 0.04, which is the pvalue of z = -1.54.

Looking at the z-table, z = -1.54 has a pvalue of 0.0618.

Pvalue of the test is 0.0618 > 0.01, which means that this sample does not provide sufficient evidence at the .01 significance level that the check verification system is effective.

9514 1404 393

Answer:

  yes

Step-by-step explanation:

10 1/2 + 8×(1/6) = (10 3/6) + (1 2/6) = 11 5/6 < 12

The weight with the added screws is still below 12 ounces.

Answer:

we have

10 1/2 + 8×(1/6) = (10 3/6) + (1 2/6) = 11 5/6 <12

The weight with the added screws is still below 12 ounces.

yes the design be within the desired weight limit