16.
There are two adjacent supplementary angles. The larger angle is 2
more than 3 times the smaller angle. What are the degrees of both
angles? What is the difference in their measurements?

Answer:

0.0793 > 0.01, which means that we have a result in line with the manufacturer's claim.

Step-by-step explanation:

Manufacturer’s claim that the average nicotine content does not exceed 3.5 mg

This means that the null hypothesis is given by:

[tex]H_{0}: \mu = 3.5[/tex]

And the alternate hypothesis is:

[tex]H_{a}: \mu > 3.5[/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.

3.5 is tested at the null hypothesis

This means that [tex]\mu = 3.5[/tex]

A random sample of 8 cigarettes of a certain brand has an average nicotine content of 4.2 milligrams and a standard deviation of 1.4 milligrams.

This means that [tex]n = 8, X = 4.2, \sigma = 1.4[/tex]

Value of the z-statistic:

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

[tex]z = \frac{4.2 - 3.5}{\frac{1.4}{\sqrt{8}}}[/tex]

[tex]z = 1.41[/tex]

Pvalue of the test:

We are testing if the mean is higher than 3.5.

The sample mean found is of 4.2, and we have to find the probability of finding a sample mean at least as large as this, which is 1 subtracted by the pvalue of z = 1.41.

z = 1.41 has a pvalue of 0.9207

1 - 0.9207 = 0.0793

0.0793 > 0.01, which means that we have a result in line with the manufacturer's claim.

Step-by-step explanation:

v= 2×pi×r²×h=2119.5cm³

h=2119.5/(2×pi×r²) r=7.4cm

Answer:

12.32cm

Step-by-step explanation:

Volume of cylinder = πr²h

2119.5=π(7.4²)h

h=2119.5/54.76π

h=12.3202666868

h=12.32cm

Answer:

y = 90

Step-by-step explanation:

If y varies jointly as x and z, then;

y = kxz

If y = 18 when x = 2 and z = 3

18 = k(2)(3)

18 = 6k

k = 18/6

k = 3

To get y when x = 5 and z = 6

y = kxz

y = 3(5)(6)

y = 15*6

y = 90

Hence the value of y is 90

Answer:

itz A

Step-by-step explanation:

Love you hun;)

Answer:

B

Step-by-step explanation:

Answer:

12,000 g = 12000000 kg

120 cm = 1200 mm

1.2 L = 1200 L

1200 cm = 12 m

0.12 m = 120 mm

9514 1404 393

Answer:

  OL = 7

Step-by-step explanation:

Triangle JKL is isosceles and N is the midpoint of JL, so NL = NJ = 14.

Triangle LMN is isosceles and O is the midpoint of NL, so NL = 2(OL).

  OL = NL/2 = 14/2

  OL = 7

__

There is no WY.

Answer:

18

Step-by-step explanation:

2.5x + 1x= 63

3.5x =63

divide 3.5 by both sides ti get 18

Answer:

x  y

1   3

2   6

3    9

Step-by-step explanation:

That's the answer for Plato correct!

Answer:

1 and 5 I think

Step-by-step explanation:

Answer:

1 ANS 5 PROBABLY

Step-by-step explanation:

Answer: undefined, not enough information

Step-by-step explanation:

Answer:

15+19 =34 is the perimeter of the closed figure

hope it helped you

Answer:

Step-by-step explanation:

Its going to be a negative

negative, if wrong so sorry

Answer:

1120 cm^3

Step-by-step explanation:

Volume of the ice cube = B * h

B = 20 cm^2

h = 4 cm

Volume = 20 * 4 = 80 cm^3

This volume is for one cube holder in the tray.

There are  7 * 2 such holders

There are 14 holders

Total volume of the holders =

14 * 80 =

1120 cubic cm

Answer:

647.668 cm³

Step-by-step explanation:

12.5 kg = 12500 g

12500 g/19.3 g/cm³ = 647.668 cm³

Answer:

1) D ; 2) E ; 3) B ; 4) C ; 5) A

Step-by-step explanation:

Answer:

1. Corresponding = D

2. Alt Interior = E

3. Vertical = B

4. Alt Ext = C

5. Straight = A

Answer:

(A-c)/8 = b

Step-by-step explanation:

A = 8b +c

A - c = b

(A-c)/8 = b

Hope this helps you!

Answer:

Step-by-step explanation:

Hhff

Answer:

LJ=24

Step-by-step explanation:

since half of LJ is LN and LN=12 add 12+12 and you will get 24.

Answer:

C. Substance C, Substance A, Substance D, Substance B

Answer:

82°

Step-by-step explanation:

total wine of quadrilateral=360°

130+ 46+ 102 +x =360

x=360- 278

x=82°

Answer:

21+35

Step-by-step explanation:

use distributive property, multiply 7 by the two numbers in the parenthesis

keep the problem though.

Answer:

B

Step-by-step explanation:

Set A:

1. 1 1/2 - closest to 1

2. 11/24 - closest to 1/2

3. 3/16 - closest to 0

4. 11/24 - closest to 1/2

5. 8/15 - closest to 1/2

6. 49/60 - closest to 1

7. 1 1/10 - closest to 1

8. 31/60 - closest to 1/2

Set B:

1. Common denominator = 10

2. Common demoninator = 18

3. Common denominator = 28

Answer:

Step-by-step explanation:

3^4=81

3 to the square root of 4 is 81

3*3*3*3=81

Answer:

Since your problem is x^4 = 81, what you have to undeo is the "to the fourth power" part.

The inverse (opposite operation) of "to the fourth power" is "to the fourth root".

(x^4) ^ 1/4 = 81 ^ 1/4

81 = 3^4

so, (3^4) ^ 1/4 = 3 ^ 1 = 3

by hand: (3^4) 1/4 = 3 ^

(4 × 1/4) = 3^1 = 3

(when you take a power to a power, multiply the exponents.)

Or, do it by calculator. One way of finding the fourth the fourth root is to use ^ (1/4).

Answer:

x = 124

Step-by-step explanation:

x = 124 because of alternate exterior angles

Answer:

(2,−4).

Step-by-step explanation:

Hope this helps and have a wonderful day!!!!

Answer:

Is 3(b+c) equivalent expressions?

A. True

Answer:

That's called a parabola

Step-by-step explanation:

Since it's graphed in a "U" shape