Enter the number that belongs in the green box

Answer:

$200 is not part of the confidence interval, which means that this is not a reasonable conclusion, at the 100 - 95 = 5% level of significance.

Step-by-step explanation:

95% confidence interval: $72 to $198.

This means that we are 95% sure that the true mean spending is between $72 and $198.

From this confidence interval the assistant concluded that people spend an average of $200 a month on entertainment. Is this a reasonable conclusion and why?

$200 is not part of the confidence interval, which means that this is not a reasonable conclusion, at the 100 - 95 = 5% level of significance.

Answer:

110 and 100

Step-by-step explanation:

Angle 2 will have the same messurement as the one across, so 110

Angle 1 will be the difference between 180 and 80, so 100

Answer:

66

Step-by-step explanation:

180 - 57-57

Answer:

[tex]A = 100^o[/tex]

[tex]B = 43.0^o[/tex]

[tex]C =37.0^o[/tex]

Step-by-step explanation:

Given

[tex]A = 100^o[/tex]

[tex]b = 51[/tex]

[tex]c =45[/tex]

Required

Complete the triangle (See attachment)

First, calculate side a using cosine's equation

[tex]a^2 = b^2 + c^2 -2bc \cos A[/tex]

[tex]a^2 = 51^2 + 45^2 -2*51*45 \cos (100^o)[/tex]

[tex]a^2 = 4626 -4590 *-0.1736[/tex]

[tex]a^2 = 4626+ 796.8[/tex]

[tex]a^2 = 5422.8240[/tex]

Take square roots

[tex]a = 73.6398[/tex]

The measure of B and C can then be calculated using sine's equation

[tex]\frac{a}{\sin A} =\frac{b}{\sin B} =\frac{c}{\sin C}[/tex]

So:

[tex]\frac{73.6398}{\sin (100)} =\frac{51}{\sin B}[/tex]

[tex]\frac{73.6398}{0.9848} =\frac{51}{\sin B}[/tex]

Cross multiply

[tex]\sin B * 73.6398 = 51 * 0.9848[/tex]

[tex]\sin B * 73.6398 = 50.2248[/tex]

Solve for sin B

[tex]\sin B = \frac{50.2248}{73.6398}[/tex]

[tex]\sin B = 0.6820[/tex]

Take arc sin of both sides

[tex]B = \sin^{-1}(0.6820)[/tex]

[tex]B = 43.0^o[/tex]

To calculate C, we make use of:

[tex]A + B + C = 180^o[/tex] --- angles in a triangle

[tex]100 + 43 + C = 180[/tex]

[tex]143 + C = 180[/tex]

Collect like terms

[tex]C =180-143[/tex]

[tex]C =37.0^o[/tex]

Y=1. Cause both land on one bht ones positive and neagitive

Answer:

just use a calculator and add all the numbers-

Step-by-step explanation:

add

Answer:

[tex]P(x =2) = 0.3020[/tex]

Step-by-step explanation:

Given

[tex]p =20\% = 0.20[/tex]

[tex]n = 10[/tex]

Required

[tex]P(x = 2)[/tex]

This question is an illustration of binomial distribution where:

[tex]P(X = x) = ^nC_x * p^x * (1 - p)^{n-x[/tex]

So, we have:

[tex]P(x =2) = ^{10}C_2 * 0.20^2 * (1 - 0.20)^{10-2}[/tex]

[tex]P(x =2) = ^{10}C_2 * 0.20^2 * 0.80^8[/tex]

This gives

[tex]P(x =2) = \frac{10!}{(10 - 2)!2!} * 0.20^2 * 0.80^8[/tex]

[tex]P(x =2) = \frac{10!}{8!2!} * 0.20^2 * 0.80^8[/tex]

Expand

[tex]P(x =2) = \frac{10*9*8!}{8!2*1} * 0.20^2 * 0.80^8[/tex]

[tex]P(x =2) = \frac{10*9}{2} * 0.20^2 * 0.80^8[/tex]

[tex]P(x =2) = 45 * 0.20^2 * 0.80^8[/tex]

[tex]P(x =2) = 0.3020[/tex]

The probability that 2 out of the next ten customers will order the chef special is 0.3020. and this can be determined by using the binomial distribution.

Given :

To determine the probability formula of the binomial distribution is used, that is:

[tex]\rm P(x = r) = \; ^nC_r \times p^r \times (1 - p)^{n-r}[/tex]

Now, at n = 10 and r = 2, the probability is given by:

[tex]\rm P(x = 2) = \; ^{10}C_2 \times (0.2)^2 \times (1 - 0.2)^{10-2}[/tex]

[tex]\rm P(x = 2) = \; ^{10}C_2 \times (0.2)^2 \times (0.8)^{10-2}[/tex]

[tex]\rm P(x = 2) = \; \dfrac{10!}{(10-2)!\times 2!} \times (0.2)^2 \times (0.8)^{8}[/tex]

[tex]\rm P(x = 2) = \; 45 \times (0.2)^2 \times (0.8)^{8}[/tex]

P(x  = 2) = 0.3020

The probability that 2 out of the next ten customers will order the chef special is 0.3020.

For more information, refer to the link given below:

https://brainly.com/question/1957976

9514 1404 393

Answer:

  consistent, independent

Step-by-step explanation:

Systems of equations are most easily classified these ways if the equations are in the same form. If we solve the second equation for y, we have ...

  y = x - 1

The x-coefficients of this and the first equation are different, so the system is consistent and independent.

__

A system is independent if the equations describe different lines.

A system is inconsistent if the equations describe parallel lines.

Here, the different lines are not parallel, so the system is independent and consistent.

Answer:

A and E

Step-by-step explanation:

B and D is unchangeable, species of bears and types of vegetables that existed in the world never changed.

C only consist of one data, temperature of Chicago at noon yesterday only.

Answer:

The Preamble states the six purposes of government to form a more perfect union; establish jusice; insure domestic tranquility;provide for the common defense; promote the general wefare; secure the blessings of liberty now and the future

Answer:

32 I just know it the answer

Answer:

slope=0

Step-by-step explanation:

Hi there!

We're given a graph with a line and two marked points on the graph: (-1,3) and (3,3)

the formula given for slope calculated from two points is (y2-y1)/(x2-x1), where (x1,y1) and (x2,y2) are points

we have our two points: (-1,3) and (3,3) and we can label them:

x1=-1

y1=3

x2=3

y2=3

now substitute into the formula

note: Remember the formula shows SUBTRACTION, even though we have NEGATIVE numbers. When we simplify, we'll add the numbers.

slope=(3-3)/(3--1)

simplify

slope=0/4

divide

slope=0

Hope this helps!

Answer:

use Ma.thway it helps

Step-by-step explanation:

Answer:

63%.

Step-by-step explanation:

There are 12 scores below 45 and total number of scores = 19.

So percentile rank= (12/19) * 100

=  63%.

Sum of the interior angles of any triangle equal 180 degrees , Thus :

A + B + C = 180

48 + B + 67 = 180

B + 115 = 180

B = 180 - 115

B = 65 degrees

Answer:

B = 65°

Step-by-step explanation:

Area of triangle,

→ 180° = A + B + C

→ 180° = 48° + B + 67°

→ 180° = 115° + B

→ B = 180° - 115°

→ B = 65°

Answer:

tan 0 = -2.4

sin 0 = 0.42

Step-by-step explanation:

sec 0 = -13/12 => cos 0 = -12/13

cot 0 < 0 => tan 0 < 0

so, the angle is on second quadrant

=> tan 0 = -12/5 = -2.4

=> sin 0 = 5/12 = 0.42

Answer:

Solution given;

Sec θ=-[tex]\frac{13}{12}[/tex]

cotθ< 0,

It lies in second quadrant.

where sin and cosec is positive.

Now

[tex] \frac{1}{cosθ}=-\frac{13}{12}[/tex]

cosθ=[tex]\frac{12}{13}[/tex]

[tex]\frac{b}{h}[/tex]=[tex]\frac{12}{13}[/tex]

b=12

h=13

By using Pythagoras law

p=[tex] \sqrt{13²-12²}=5 [/tex]

Now

exact values of tan θ=[tex]\frac{p}{b}[/tex]=[tex]\frac{5}{12}[/tex]

since it lies in II quadrant

tan θ=-[tex]\frac{5}{12}[/tex]

and

sinθ=[tex]\frac{p}{h}[/tex]=[tex]\frac{5}{13}[/tex]

since it lies in II quadrant

sin θ=[tex]\frac{5}{13}[/tex]

Answer:

Consider a circle of radius 8 centimetres. Recall that the centre angle in a circle is always 360˚ . However, a semi-circle is a circle cut in half.

Step-by-step explanation:

So, the formula for the area of a semicircle is A = pi * r^2/2. Let's use that formula to calculate the area of a semicircle with a radius of 8 inches. We'll use 3.14 as an approximation of pi. So, now we plug the values into the equation.

x=4.5 - - -> y=3

x=24 - - - -> y= n

4.5n= 72

n= 72/4.5

n= 16

the answer is C) 16

Answer:

chupapi muyanyo

Step-by-step explanation:

Answer:

3) A) 8 tomatoes are in Priya's garden

B) 18 since they are missing 2 tomatoes

4) I cant really answer with the information given.

Step-by-step explanation:

I need more information for number 4

Answer:

A)

Step-by-step explanation:

Answer:

24

Step-by-step explanation:

2b = b+24

2b-b = 24

b = 24

Answer: the answer is 25

Step-by-step explanation:

Answer:

p = 10.8

Step-by-step explanation:

Given that p is directly proportional to (p-1)² and p is always positive, then;

q = k (p-1)²

If q = 30 and p = 7

30 = k(7-1)²

30 = 6²k

30 = 36k

5 = 6k

k = 5/6

To get p when q = 80

q =k (p-1)²

80 = 5/6((p-1)²

480 = 5(p-1)²

480/5 = (p-1)²

(p-1)² = 96

p-1 = √96

p-1 = 9.8

p = 9.8 + 1

p = 10.8

B) 6

Ch 10.82

Answer:

28

Step-by-step explanation:

Since this is a right triangle, we can use the pythagorean theorem

a^2 +b^2 = c^2  where a and b are the legs and c is the hypotenuse

a^2 + 45^2 = 53^2

a^2 +2025=2809

a^2 = 2809-2025

a^2 =784

Take the square root of each side

sqrt(a^2) = sqrt(784)

a =28

Answer:

Number of cars on road in 2020 = 35,400 car

Step-by-step explanation:

Given;

Number of cars on road = 177,000

Decrease in cars on road in 2020 = 80%

Find:

Number of cars on road in 2020

Computation:

Number of cars on road in 2020 = Number of cars on road[1 - Decrease in cars on road in 2020]

Number of cars on road in 2020 = 177,000[1-80%]

Number of cars on road in 2020 = 177,000[1-0.80]

Number of cars on road in 2020 = 177,000[0.20]

Number of cars on road in 2020 = 35,400 car

Answer:

parallel

Step-by-step explanation:

If two coplanar lines are cut by a transversal so that corresponding angles are congruent, then the lines are parallel

========================================================

Explanation:

This is due to the converse of the corresponding angles theorem.

Ignoring the "converse" part for now, the corresponding angles theorem says that if two lines are parallel, then the corresponding angles are congruent.

The converse swaps the order. The converse says that if two corresponding angles are congruent, then the lines are parallel.

Corresponding angles are the angles that are in the same configuration of the four-angle set up. For instance, both angles could be in the upper right corner for each X shape.

Check out the image below to see an example of what I mean.

Answer:

We know that 3 l 3 = 3.3, so the values of the stem and leaf plot would be;

4 l 8, 9

5 l 1, 6, 8, 8, 9

6 l 8, 9, 9, 9, 9

7 l 0, 2, 2, 2, 5, 5

8 l 0, 9

Hope this helps!

Answer: a. 1

Step-by-step explanation:

Given data: 9, 7, 6, 8, 7, and 5.

Mean absolute deviation: [tex]MAD=\dfrac1n\sum^n_{i=1}|x_i-m|[/tex], where m = mean

mean (m) = [tex]\frac{\text{Sum of values}}{\text{Number of values}}[/tex]

[tex]=\frac{42}{6}\\\\=7[/tex]

Now, [tex]MAD=\dfrac{|9-7|+|7-7|+|6-7|+|8-7|+|7-7|+|5-7|}{6}[/tex]

[tex]MAD=\dfrac{2+0+1+1+0+2}{6}[/tex]

[tex]MAD=\dfrac{6}{6}[/tex]

[tex]MAD=1[/tex]

Hence, the mean absolute deviation=1

Thus correct option is a. 1