4 lines are shown. A line with points A, F, D intersects with a line with points B, F, E at point F. A line extends from point F to point G between angle E F D. Another line extends from point F to point D in between angle B F D. In the diagram, which angle is part of a linear pair and part of a vertical pair? AngleBFC AngleCFG AngleGFD AngleEFA

Answer:

The probability of choosing a heart and not a club is

P =  0.1875

Step-by-step explanation:

There are 13 hearts in a deck of 52 cards. The probability that the chosen card will be a heart is given by

Probability = favorable outcome/ Total number of outcomes

P= 13/52= 1/4

There are 13 clubs in a deck of 52 cards.

The probability of not choosing a club would be

P = 52-13/52= 39/52= 3/4

So the  combined probability of choosing a heart and not a club is

P = 1/4 * 3/4= 0.25 * 0.75= 0.1875

Answer: 4 / 663

Step-by-step explanation:

There are 4 queens in a deck of 52 cards.

Probability = 4/52 = 1/13

There are 4 sevens

Probability = 4/51

Total probability = 1/13 x 4/51 = 4 / 663

The probability of drawing a queen first and a seven-second is 3/613.

Probability is defined as the possibility of an event being equal to the ratio of the number of favorable outcomes and the total number of outcomes.

There are 4 queens in a standard deck, and once one queen is drawn, there are 51 cards left, including 3 sevens.

So, the probability of drawing a queen first is 4/52 or 1/13, and the probability of drawing a seven-second is 3/51.

By the multiplication rule of probability, multiply the probabilities of each event occurring:

P(Queen and Seven) = P(Queen) × P(Seven after Queen)

P(Queen and Seven) = (1/13) × (3/51)

P(Queen and Seven) = 3/613

Thus, the probability of drawing a queen first and a seven-second is 3/613.

Learn more about the probability here:

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Answer:

9 inches

Step-by-step explanation:

Area of rectangle= length ×width

Let the length of the rectangle be x inches.

Width of rectangle= (x +2) inches

since the width is 2 more than the length.

63= x(x+2)

63= x(x) +2x

Bringing constant to one side,

x² +2x -63= 0

(x +9)(x-7) = 0 (factorise)

x+9= 0 or x-7= 0

x= -9 or x= 7

(reject)

width of rectangle

= 7+2

= 9 inches

*We reject x= -9 since the length of the rectangle cannot be a negative number.

This type of blinding is used to prevent what is referred to as placebo effect in this scenario.

This refers to a situation where some individuals feel improvement in their health when dummy treatment is used.

The subjects not being unaware of the treatment helps to prevent the placebo effect thereby making it the most appropriate choice.

Read more about Placebo effect here https://brainly.com/question/10467057

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Answer:

The equation are

    [tex]x =\frac{ 12-z }{h} 8 cos (2 z)[/tex]

    [tex]y = \frac{12-z }{12} 8sin (2z)[/tex]

    z = z

Step-by-step explanation:

From the question we are told that

   The radius of the conical helix is  [tex]r= 8[/tex]

    The height of the conical helix is  [tex]h = 12[/tex]

    The angular frequency  is  [tex]w = 2[/tex]

The plot of the conical helix is  shown on the first uploaded image

 Generally  the parametric equation of a conical helix is mathematically represented as

for x -axis

     [tex]x =\frac{ h-z }{h} r cos (wz)[/tex]

substituting values

      [tex]x =\frac{ 12-z }{h} 8 cos (2 z)[/tex]

for  y-axis

     [tex]y = \frac{h-z }{h} rsin (wz)[/tex]

substituting values

      [tex]y = \frac{12-z }{12} 8sin (2z)[/tex]

for  z-axis

   z = z

Answer:

2,748.5

Step-by-step explanation:

Answer:

thank uuu

Step-by-step explanation:

Answer:

Finding 1/5 of something is the same as dividing that number by 5. Since 24 isn't divisible by 5, 24 / 5 is not an integer. Since you can't have 4.8 species of animals the answer to (a) is no.

For (b), 1/3 * 24 = 8 and 24 - 8 = 16.

Answer: 400

Step-by-step explanation:

25% is equal to one quarter (1/4). If theres 100 red gumballs then there must be 300 more gumballs in the machine because a quarter of a number is always even.

Answer:

D.

Step-by-step explanation:

Volume of cylinder = base area × height

25.5 = A × 4.8

A = 25.5/4.8

A = 5.3 inch ²

Answer:

[tex]z=\frac{20-25}{\frac{9}{\sqrt{36}}}=-3.33[/tex]  

The p value for this case is given by:

[tex]p_v =P(z<-3.33)=0.000434[/tex]  

For this case the p value is a very low value compared to the significance level of 0.1 so then we can reject the null hypothesis and we can conclude that the true mean is significantly less than 25 at 10% of significance.

Step-by-step explanation:

Information given

[tex]\bar X=20[/tex] represent the sample mean  

[tex]\sigma=9[/tex] represent the population deviation

[tex]n=36[/tex] sample size  

[tex]\mu_o =25[/tex] represent the value to verify

[tex]\alpha=0.1[/tex] represent the significance level

tzwould represent the statistic

[tex]p_v[/tex] represent the p value

System of hypothesis

We want to test the hypothesis that the true mean is lower than 25  and the system of hypothesis are:  

Null hypothesis:[tex]\mu \geq 25[/tex]  

Alternative hypothesis:[tex]\mu < 25[/tex]  

The statistic is given by:

[tex]z=\frac{\bar X-\mu_o}{\frac{\sigma}{\sqrt{n}}}[/tex] (1)  

Replacing the info given:

[tex]z=\frac{20-25}{\frac{9}{\sqrt{36}}}=-3.33[/tex]  

The p value for this case is given by:

[tex]p_v =P(z<-3.33)=0.000434[/tex]  

For this case the p value is a very low value compared to the significance level of 0.1 so then we can reject the null hypothesis and we can conclude that the true mean is significantly less than 25 at 10% of significance.

Answer:1. uses a related sample - repeated measures

2. . does not use a related sample--a

Step-by-step explanation:

Question 1.

step1  A repeated measure design is a design which measures a given sample repeatedly over a given time using different conditions or related measures.

step 2:In the treatment for compulsive hoarding, Here, measures are taken two times ie before and after treatment on the same 50 hoarders which shows a repeated measure, also the design is a within related sample of the same 50 hoarders to give measurement at different conditions  of treatment for  high and low hoarding scores so the design describes  a related sample - repeated measures

Question 2:

step 1 ; An unrelated sample  occurs when Samples being measured do not depend on each other  

Step 2;  1st Sample for comparison by John are random lonely people  and Second Sample are random non lonely people. so the two samples are independent on each other and will give different  measurement based on quality of sleep.   So the design does not use a related sample

Answer:

I think that angles 1 and 2 are complementary

Step-by-step explanation:

option 1

plz mark brainliest!

Answer:a

Step-by-step explanation:

Answer:

  184 square cm

Step-by-step explanation:

The ratio of areas is the square of the ratio of the scale factor. The larger triangle has an area of ...

  (15 cm²)(3.5²) = 183.75 cm²

The area of the similar triangle is about 184 cm².

Answer:

3.6

Step-by-step explanation:

d = sqrt(3^2+2^2) = sqrt(13) = 3.6

Answer:

[tex]cos(-\theta) = -0.73[/tex]

Step-by-step explanation:

It is given that:

[tex]sin(\theta -\dfrac{\pi}{2}) = 0.73[/tex]

Formula to be used:

[tex]1.\ sin(-x) = -sinx\\2.\ sin(\dfrac{\pi}{2}-x) = cosx\\3.\ cos(-x) = cosx[/tex]

Using Formula (1) written above:

[tex]\Rightarrow sin (\theta - \dfrac{\pi}{2})=sin(-(\dfrac{\pi}{2}-\theta ))\\\Rightarrow -sin(\dfrac{\pi}{2}-\theta)[/tex]

Now, using Formula (2) written above:

[tex]\Rightarrow -sin(\dfrac{\pi}{2}-\theta) = -cos \theta[/tex]

So, we can say that:

[tex]sin(\theta -\dfrac{\pi}{2}) = -cos\theta = 0.73 ...... (1)[/tex]

We have to find the value of [tex]cos(-\theta)[/tex].

Using Formula (3) written above:

[tex]cos(-\theta) = cos\theta[/tex]

So, ultimately we need to find the value of [tex]cos\theta[/tex]

Using equation (1):

[tex]-cos\theta = 0.73\\\Rightarrow cos\theta = -0.73[/tex]

So, the answer is [tex]cos(-\theta) = -0.73[/tex].

Answer:

Where is the diagram?

Step-by-step explanation:

Answer:

OC and OE are apposite rays so the Answer is yes

Answer: 1/4

Step-by-step explanation:

The cheesiest recipe would be 1 cup and the least cheesy recipe would be 3/4 cups

1 - 3/4 = 1/4

Answer:

[tex]\frac{1}{4}[/tex] cup of cheese

Step-by-step explanation:

The least cheesiest recipe uses [tex]\frac{3}{4}[/tex] cup of cheese while the most cheesiest uses 1 cup of cheese.

[tex]1-\frac{3}{4} =\\\\\frac{1}{4}[/tex]

The most cheesiest uses [tex]\frac{1}{4}[/tex] cup more cheese than the least cheesiest.

Answer:

37.047

Step-by-step explanation:

Sin(39) = 30/hyp

Cos(39) = x/hyp

hyp = 30/Sin(39)

and hyp = x/Cos(39)

hyp = hyp

30/Sin(39) = x/Cos(39)

x = 30(Cos(39))/Sin(39)

x is approximately equal to 37.047

Answer:

Step-by-step explanation:

let the height height of the tree be "h"

Hence the tree's height h=9 ft

one year later,let the height of the tree increased by x ft

hence

[tex]9 + x = 16[/tex] --------This is the equation for the growth of the tree

In order to solve for the added height(growth) of the tree we need to solve for x

[tex]9 + x = 16\\x=16-9\\x=7ft[/tex]

Answer:

$350

Step-by-step explanation:

Let d = price of dryer

Then d - 61 is the price of the washer.

The sum of the prices is $639.

d + d - 61 = 639

2d - 61 = 639

2d = 700

d = 350

The price of the dryer is $350

Answer

g(x) moves 4 spaces to the left compared to f(x),  

when g(4)=0  when f(0)=0

when g(3)=1   when f(-1)=1

...

and so on

Answer:

1, -4

Step-by-step explanation:

Let  x^-1 = 1/x = y

1. Root 1

2. Root 2

Answer is A

Midpoint

[tex] \frac{x \: a xis}{2} . \frac{y \: axis}{2} [/tex]

[tex] \frac{2 + 2}{2} . \frac{4 + ( - 9)}{2} [/tex]

[tex](2. - 2.5 )[/tex]

Answer:

   9 in

Step-by-step explanation:

For an n-sided polygon, the length of the apothem is ...

  a = r·cos(180°/n)

We assume your problem statement is saying the radius is 10 inches. For a hexagon, n=6 and we have ...

  a = (10 in)cos(30°) ≈ 8.66 in

Rounded to the nearest inch, the apothem is 9 in.

Answer:144 sweets

Step-by-step explanation:

Answer:

No. There is not enough evidence to support the claim that the proportion of liberals is higher than that reported by the polling​ organization (P-value = 0.0366).

Step-by-step explanation:

The question is incomplete: there is no information about the results of the survey. We will assume that 55 of the subjects answer "liberal", and test the claim.

This is a hypothesis test for a proportion.

The claim is that the proportion of liberals is higher than that reported by the polling​ organization.

Then, the null and alternative hypothesis are:

[tex]H_0: \pi=0.22\\\\H_a:\pi>0.22[/tex]

The significance level is 0.01.

The sample has a size n=200.

The sample proportion is p=0.275.

[tex]p=X/n=55/200=0.275[/tex]

The standard error of the proportion is:

[tex]\sigma_p=\sqrt{\dfrac{\pi(1-\pi)}{n}}=\sqrt{\dfrac{0.22*0.78}{200}}\\\\\\ \sigma_p=\sqrt{0.000858}=0.029[/tex]

Then, we can calculate the z-statistic as:

[tex]z=\dfrac{p-\pi-0.5/n}{\sigma_p}=\dfrac{0.275-0.22-0.5/200}{0.029}=\dfrac{0.053}{0.029}=1.792[/tex]

This test is a right-tailed test, so the P-value for this test is calculated as:

[tex]\text{P-value}=P(z>1.792)=0.0366[/tex]

As the P-value (0.0366) is greater than the significance level (0.01), the effect is  not significant.

The null hypothesis failed to be rejected.

There is not enough evidence to support the claim that the proportion of liberals is higher than that reported by the polling​ organization.

Answer:

432

Step-by-step explanation:

l x w

4x3

4x19

8x24

8x19

432