Which part of the angle is the vertex?
​

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Answer:

  row 13

Step-by-step explanation:

The sum of row n is 2^n, so the row number with a particular sum is ...

  2^n = sum

  n·log(2) = log(sum)

  n = log(sum)/log(2)

The row with sum 8192 is ...

  n = log(8192)/log(2) = 13

The row of Pascal's triangle that has a sum of 8192 is row 13.

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Explanation:

16/31 represents the probability of picking a white marble

This is because there are 16 white out of 15+16 = 31 total.

---------

After we make a first selection, we have 16-1 = 15 white marbles left out of 31-1 = 30 marbles overall. The probability of selecting another white marble is 15/30 = 1/2.

Multiply those two fractions:

(16/31)*(1/2) = (16*1)/(31*2) = (2*8)/(31*2) = 8/31

which represents the probability of selecting two white marbles in a row, such that we don't put the first one back (and there's no replacement).

Answer:

B

Step-by-step explanation:

Answer:

B EDGE

Step-by-step explanation:

Answer:

4. 18 cm^2

5. 24 cm^2

6. 12 cm^2

SA: 108 cm^2

Step-by-step explanation:

Answer:

Surface area is 108

1.  18

4. 18

2. 12

6.  12

3. 24

5. 24

Step-by-step explanation:

1. 3 x 6 = 18

4. 3 x 6 = 18

2. 4 x 3 = 12

6. 4 x 3 = 12

3. 4 x 6 = 24

5. 4 x 6 = 24

Answer:

87.5%

Step-by-step explanation:

Complete question  -

75% of the people who eat at Doug's Diner order fish and 90% of the people who order fish also order fries. Given that 80% of all people who eat at Doug's order fries, what is the probability that a randomly chosen customer orders fries without fish?

Solution

Given

People who order fish at the Doug's Diner  = 75%

Out of this 75%, 90% also order  fries which means that nearly 67.5% ordered fries with the fish.

Given that, 80% of people dining at Doug's Diner order fries

Then percentage or people who ordered only fires and no fish = 80% - 67.5% = 12.5%

The probability of customers who ordered fish = 100 - 12.5% = 87.5%

Answer:

Step 1

Step-by-step explanation:

18 − (3x + 5) = 8

Step 1: 18 − 3x + 5 = 8

Correct Step 1: 18 - 3x - 5 = 8

Step 2: -3x + 23 = 8

Step 3: -3x = -15

Step 4: x = 5

The distributive property was applied incorrectly on Step 1.

Answer: Step 1

Step-by-step explanation:

[tex]\frac{( \csc x+1)( \csc x-1)}{ \csc ^2x} = \frac{ { \csc }^{2} x - 1}{ \csc^{2} x} \\ = 1 - \sin^{2} x = \cos^{2} x \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: [/tex]

b. Since csc theta = 1/sin theta, we can multiply both sides by sin theta and you will end up with

[tex] \cos^{2} \theta + \sin^{2} \theta = 1[/tex]

which is an identity.

Answer:

37.194574

Step-by-step explanation:

9514 1404 393

Answer:

  $55,085.44

Step-by-step explanation:

The formula for the account balance is ...

  A = P(1 +r/n)^(nt)

where principal P is invested at annual rate r compounded n times per year for t years. Using the given values, we find the balance to be ...

  A = $21,000(1 +0.082/2)^(2·12) = $21,000(1.041^24) ≈ $55,085.44

The balance is $55,085.44 after 12 years.

Answer:

y = $0.50x + $5. $7 if you went 4 miles

Step-by-step explanation:

$0.50 will be the coefficient for the variable x since the amount changes based on how many miles you ride. $5 will be the amount you are charged just for getting into the taxi and doesn't change depending on how many miles you go.

[tex]y=0.50x+5[/tex]

I used x = 4 for the number of miles travelled.

[tex]y=0.50(4)+5[/tex]

[tex]y=2+5[/tex]

[tex]y=[/tex] $7 total cost

9514 1404 393

Answer:

  4

Step-by-step explanation:

2/3 = 4/6

There are four 1/6-cup servings of rice in 4/6 cups of rice.

Answer:

Step-by-step explanation:

Equations according the given:

Solve for q by substitution:

Find the value of d:

Nathaniel has 10 dimes and 4 quarters

Answer:

its D

Step-by-step explanation:

h(-7)= 5.7-19(-7)

h(-7)=5.7+133

h(-7)= 138.7

Answer:

D.

[tex]{ \tt{h(x) = 5.7 - 19x}} \\ { \tt{h( - 7) = 5.7 - 19( - 7)}} \\ \\ { \tt{h( - 7) = 138.7}}[/tex]

Answer:

c) it appears to be sound because the data are not biased in anyway.

Step-by-step explanation:

From the information given regarding the sample selection method , the size, the larger sample from which the survey subject were selected, we can conclude that the data is sound and not in anyway biased. The subject were selected from a reputable market research firm, which means the subjects were chosen from a larger sample which is reliable and not just a voluntary pool of subjects. Also, the selection process is randomized. Based on these, there are no flaws which are likely to cause the introduction of bias into the sample selected. Hence, the data is sound and not in any way biased.

Answer:

The answer is the second graph, Option 2

Answer:

4

Step-by-step explanation:

2(y-4)

=2y-8

2y=8

y=8/2

y=4

Hope it helps ☺️

Answer:

Step-by-step explanation:

Answer:

x=7

Step-by-step explanation:

take 30 degree as reference angle

using sin tan rule

tan 30=opposite/adjacent

[tex]\frac{1}{\sqrt{3} }[/tex]=x/[tex]7\sqrt{3}[/tex]

[tex]\frac{1}{\sqrt{3} }[/tex] *[tex]7\sqrt{3}[/tex]

[tex]7\sqrt{3} /\sqrt{3}[/tex]

7=x

Step-by-step explanation:

(1.00)³⁶⁵

=1

1 power any natural number is 1

Answer:

1

Step-by-step explanation:

(1.00)^365

it means to multiply (1 .00) 365 times

Answer:

B) mix number

Let Joes average = x

Phil’s average is 0.250 and is 5/6X ( 5/6 of Joe’s)

5/6x = 0.250

Solve for x by dividing both sides by 5/6. When dividing by a fraction, flip the fraction over and multiply;

X = 0.250 x 6/5 = (0.250 x 6)/5 = 1.5/5 = 0.30

Joes average is 0.3

Answer:

141 bunches, 7 flowers left

Step-by-step explanation:

Number of bunches of flowers that can the florist make is 23 flowers

The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity.

Here, we have,

If 60% of the flowers in a bunch are lilies,

then there are 40 x 0.6 = 24 lilies in each bunch.

That means there are 40 - 24 = 16 roses and carnations in each bunch.

The ratio of carnations to roses = 3 : 5

Let's call the number of carnations in each bunch "3x" and the number of roses in each bunch "5x". That means

3x + 5x = 16 (the total number of carnations and roses)

8x = 16

x = 2

So there are 3 x 2 = 6 carnations in each bunch.

If the florist has only 140 carnations, they can make 140 / 6 = 23.333... bunches of flowers. However, since they can't make a fraction of a bunch, the florist can only make 23 bunches of flowers.

Learn more about ratio here

brainly.com/question/1267581

#SPJ3

complete question:

A florist is making some bunches of flowers for a wedding. Each bunch contains some carnations, roses, and lilies. Each bunch is the same. - A bunch contains 40 flowers -60% of the flowers are lilies The ratio of carnations to roses is 3:5 The florist only has 140 carnations. How many bunches of flowers can the florist make?​

Answer:

g(a + 1) - g(a - 1) = 4a

Step-by-step explanation:

g(x) = x^2 + 5,

when x = a+1, g(a+1) = (a+1)^2 + 5.

when x = a-1, g(a-1) = (a-1)^2 +5.

g(a+1)-g(a-1) = (a+1)^2 + 5 - [(a-1)^2 + 5]

= a^2 + 2a + 1 + 5 - [a^2 - 2a + 1 + 5]

= 4a

Answer:

222

Step-by-step explanation:

What I did was calculate the area of each sides of the triangular prism.

For the two triangles:

1/2(6x5)=15 (for 1 triangle, notice there are 2 so -> 30)

For the 2 rectangles:

5x12=60 x2 = 120

For the base:

6x12=72

Add all them together we get 222

Answer:

[tex] - 10x + 2y = - 28 - - - (a) \\ - 13x + 3y = - 40 - - - (b) \\ 3 \times (a) - 2 \times (b) : \\ - 4x + 0y = - 4 \\ x = 1 \\ ( - 10 \times 1) + 2y = - 28 \\ 2y = - 18 \\ y = -9[/tex]

answer: ( 1, -9 )

Answer:

The 99% confidence interval for the fraction of U.S. adult Twitter users who get some news on Twitter is (0.46, 0.58). This means that we are 99% sure that the true proportion of all U.S. adult Twitter users who get some news on Twitter is between these two values.

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 z-score that has a p-value of [tex]1 - \frac{\alpha}{2}[/tex].

A poll found that 52% of U.S. adult Twitter users get at least some news on Twitter. The standard error for this estimate was 2.4%

This means that:

[tex]\pi = 0.52, \sqrt{\frac{\pi(1-\pi)}{n}} = 0.024[/tex]

99% confidence level

So [tex]\alpha = 0.01[/tex], z is the value of Z that has a p-value of [tex]1 - \frac{0.01}{2} = 0.995[/tex], so [tex]Z = 2.575[/tex].

The lower limit of this interval is:

[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.52 - 2.575(0.024) = 0.46[/tex]

The upper limit of this interval is:

[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.52 + 2.575(0.024) = 0.58[/tex]

The 99% confidence interval for the fraction of U.S. adult Twitter users who get some news on Twitter is (0.46, 0.58). This means that we are 99% sure that the true proportion of all U.S. adult Twitter users who get some news on Twitter is between these two values.