I need to solve for x. The interior angles are 30 and 4x+2. The exterior angle is 8+6x.

Answer:

[tex]0.64 \pm 1.645\sqrt{\frac{0.64*0.36}{50}}[/tex], option D

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].

From a random sample of 50 students, she found that 32 students read at least 1 book last month.

This means that [tex]n = 50, \pi = \frac{32}{50} = 0.64[/tex]

90% confidence level

So [tex]\alpha = 0.1[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.1}{2} = 0.95[/tex], so [tex]Z = 1.645[/tex].

Confidence interval:

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

[tex]0.64 \pm 1.645\sqrt{\frac{0.64*0.36}{50}}[/tex]

So the correct answer is given by option D.

Answer:

See explanation:

Step-by-step explanation:

1: 180-50=130

3: vertical angles are the same, therefore 50

4: 180-50=130

5: angle 1 equals angle 5, therefore 130

6: 50

7: 50, angles 6 and 7 are vertical therefore equal

8: 180-50=130

Answer:

so first we have to make it to y- intercept form

5x + 3y = 7

3y = 7 -5x since we moved to the other side of the equal sign it turns negative

now divide both sides by 3 becuase y needs to have no number in front of it

3y divided by 3

7 divided by 3

-5 divided by 3

now its y = 7/3 - 5/3x

now we need to reorder the terms so its y = mx + b

y = -5/3x + 7/3 or 2.3

mx equals slope so -5/3 is the slope

Step-by-step explanation:

Answer:

−5/3

Step-by-step explanation:

Parallel lines have the same slope. So to find the parallel line you must first find the slope of the original line. Do this by putting the equation into slope-intercept form. Once the equation is in the slope-intercept form it is, [tex]y=-\frac{5}{3}x+\frac{7}{3}[/tex]. Therefore, the correct answer is −5/3.

Answer:

Step-by-step explanation:

Find the difference of the volume of outer cylinder and volume of inner cylinder.

Outer cylinder:

diameter = 5 cm

r = 5/2 = 2.5 cm

h = 0.5 cm

Volume = πr²h

             = 3.14 * 2.5 *2.5 * 0.5

             = 9.8125 cm³

Inner cylinder:

diameter = 3 cm

r = 3/2 = 1.5 cm

h = 0.5 cm

Volume = 3.14 * 1.5 *1.5 *0.5

             = 3.5325 cm³

Volume of the finished space = 9.8125 - 3.5325

                                                 = 6.28

                                                 = 6.3 cm³

Answer:

6.3 cm³

Step-by-step explanation:

4 by 4 by 4: 64 cubes; you can  cover the bottom with 4 by  4 5 16 cubes and you can fit  4 such layers.  2 by 16 by 2: 64 cubes; you  can cover the bottom with 16 by  2 5 32 cubes and you can fit  2 such layers.  2 by 4 by 8: 64 cubes; you can  cover the bottom with 2 by  4 5 8 cubes and you can fit  8 such layers.

9514 1404 393

Answer:

  AD = 15

Step-by-step explanation:

The products of the segment lengths are the same.

  (x -2)(x +7) = 4(2x -1)

  x^2 +5x -14 = 8x -4

  x^2 -3x -10 = 0

  (x -5)(x +2) = 0

The positive solution is x=5.

Chord AD is ...

  (x -2) +(x +7) = 2x +5 = 2(5) +5 = 15

Chord AD is 15 units long.

Answer:

18 sq ft

Step-by-step explanation: all you have to do is add the sides. 5+5=10

4+4= 8

10+8=18

This makes the most sense with the answers givin

Answer:

10%

Step-by-step explanation:

Samantha is a business development representative

She took her client out for a dinner that costs $180.75 before taxes

She paid tax of $18.08 on the meal

The tax rate can be calculated as follows

= 18.08/180.75

= 0.1 ×100

= 10%

Hence the tax rate is 10%

Answer:

II

Step-by-step explanation:

According to the graph,,,,they soent atleast abit over $100 so it can be choice a,secondly there bill had only manage to decrease about three times but only increased once so the answer is II only

Answer: x=6

Step-by-step explanation:

−

5

(

−

2

+

1

0

)

=

1

0

−

5

(

−

2

x

+

10

)

=

10

−5(−2x+10)=10

Solve

1

Distribute

−

5

(

−

2

+

1

0

)

=

1

0

−

5

(

−

2

x

+

10

)

=

10

−5(−2x+10)=10

1

0

−

5

0

=

1

0

10

x

−

50

=

10

10x−50=10

2

Add

5

0

50

50

to both sides of the equation

3

Simplify

Answer:

Corresponding angles postulate

Answer:

definition of parrallel lines

Step-by-step explanation:

oh sorry. I understood it as parrallel

Answer:

a= $54764.26

Step-by-step explanation:

r=R/100

r=4.5/100

r=0.045 rate per year

A = P(1 + r/n)nt

A = 10,000.00(1 + 0.045/4)(4)(38)

A = 10,000.00(1 + 0.01125)(152)

A = $54,764.26

Answer:

x=3

Step-by-step explanation:

Divide both sides by 3

3(x+2)/3 = 15/3

You get x+2=5, subtract 2 from each side

x+2(-2)=5(-2)

x=3

Answer:

A'(0,2), B(1, -2). C'(3,2)

Step-by-step explanation:

Given

[tex]A = (-4,-1)[/tex]

[tex]B = (-3,-5)[/tex]

[tex]C =(-1,-1)[/tex]

Solving (a); Graph and Label ABC

See attachment for graph

Solving (b): Graph and Label A'B'C'

Translation:

4 units right

3 units up

4 units right

The rule is:

[tex](x,y) \to (x + 4,y)[/tex]

So, we have:

[tex]A = (-4,-1)[/tex] ==> [tex](-4+4,-1) =(0,-1)[/tex]

[tex]B = (-3,-5)[/tex] ==> [tex](-3+4,-5) =(1,-5)[/tex]

[tex]C =(-1,-1)[/tex] ==> [tex](-1+4,-1) =(3,-1)[/tex]

3 units up

The rule is:

[tex](x,y) \to (x,y+3)[/tex]

So, we have:

[tex](0,-1)[/tex] ==> [tex]A' =(0,-1+3) = (0,2)[/tex]

[tex](1,-5)[/tex] ==> [tex]B' =(1,-5+3) = (1,-2)[/tex]

[tex](3,-1)[/tex] ==> [tex]C' =(3,-1+3) = (3,2)[/tex]

The coordinates of A' B' and C' are:

A'(0,2), B(1, -2). C'(3,2)

See attachment for graph

Answer:

Since we want to bet the smaller amount, $6000 - budget, each time, we will be betting $2000 dollars each time. We know the odds of landing on heads with a coin is a %50 chance. Now if we get heads we can win. If we do not get heads we are left with $2000. Follow the betting equation again. $6000 - $2000 = $4000. We do not have $4000 so we will bet $2000. Once again we have a %50 chance of winning. If we win we will have $4000. If we loose, we will be left with nothing. If we were to loose, we would no longer be able to reach our goal because lack of money. Now lets say we won. We would have $4000 again so we would have to repeat like before. We would bet $2000 and if we win, we reach the goal. If we lost, we would also have to repeat steps before. This means the game could be over in 1 flip but could go on forever.

90 minus 63 equals 37

Answer:

27 degrees

Step-by-step explanation:

x together with 63deg form a right angle (90deg)

x + 63 = 90

x = 90 - 63

x = 27

Answer:

High blood pressure

Step-by-step explanation:

Possible DEATH

Answer:

High blood pressure

Step-by-step explanation:

High blood pressure is dangerous

Answer: S= 14 cm

Step-by-step explanation:

Answer: 14

Step-by-step explanation: Khan Academy

Answer:

Test statistic  |Z| = 0.1040 < 1.96 at 0.05 level of significance

Step-by-step explanation:

Step(i):-

Given that a report on the nightly news broadcast stated that 10 out of 108 households with pet dogs  were burglarized

First proportion

              [tex]p_{1} = \frac{x_{1} }{n_{1} } = \frac{10}{108} = 0.0925[/tex]

Given that a report on the nightly news broadcast stated that  20 out of 208 households without pet dogs were burglarized

Second proportion

              [tex]p_{2} = \frac{x_{2} }{n_{2} } = \frac{20}{208} = 0.0961[/tex]

where

           [tex]P = \frac{n_{1}p_{1} +n_{2}p_{2} }{n_{1} +n_{2} }[/tex]

         P = 0.09486

       Q = 1 - P = 1 - 0.09486 = 0.90514

Step(ii):-

Test statistic

        [tex]Z = \frac{p_{1}-p_{2} }{\sqrt{PQ(\frac{1}{n_{1} } +\frac{1}{n_{2} } )} }[/tex]

      [tex]Z = \frac{0.0925-0.0961 }{\sqrt{0.09486 X 0.90514(\frac{1}{108 } +\frac{1}{208 } )} }[/tex]

     Z =    -0.1040

|Z| = |-0.1040|

|Z| = 0.1040

Critical value Z = 1.96 at 0.05 level of significance

Answer:

the correct answer is d. -x + 3

Answer:

The correct answer is d x - e

Answer:

Step-by-step explanation:

..

Answer:

no it's not right angled

Step-by-step explanation:

thats because the left hand side is not equal to the right hand side

Answer:

You were on the right track: basically if a²+b²=c² is true , it's a right triangle...

a²+b²=c²

11²+10²=12²?

121+100=144?

221=144?

221≠144

Since they're not equal, the triangle isn't a right triangle.

Sample space َََ َ َ َ َ َ َ َ َ َ

Answer:

Step-by-step explanation:

If we let the points in the first graph define the position and slope of a line through the points, this line would have a negative slope and a negative trend line.  As x increases, y decreases.

Answer: it’s A. I took the test.

Step-by-step explanation:

the Beatles are better than the stones and that is a fact