Express sin T as a fraction in simplest terms.

Answer:

12n² + 38n + 16

Step-by-step explanation:

(3n + 8)(4n + 2)

12n² + 6n + 32n + 16

12n² + 38n + 16

Answer:

6 friends

Step-by-step explanation:

Take 1/7 multiply by 5/6

9514 1404 393

Answer:

  7 friends

Step-by-step explanation:

3 pizzas will give 3/7 of a pizza to each of ...

  3/(3/7) = 3 · 7/3 = 7 . . . friends

7 friends ate the pizza.

_____

We assume that Sunaina and her 6 friends constitute 7 friends.

Answer: Answer:

A) 98% Confidence interval for the proportion of all US buyers of this particular app who would have chosen Opinion B  

= (0.51, 0.57)

This means that the true proportion of all thay would chose opinion B can take on values between the range of (0.51, 0.57)

B) For the confidence interval obtained to be valid, the conditions stated must be satisfied and for the sampling distribution to be approximately normal, the number of buyers that chose Opinion B and the number of buyers that did not choose Opinion B must both be greater than 10.

_________________________________________________________

Step-by-step explanation:

Confidence Interval for the population proportion is basically an interval of range of values where the true population proportion can be found with a certain level of confidence.

Mathematically,

Confidence Interval = (Sample proportion) ± (Margin of error)

Sample proportion of all US buyers of this particular app who would have chosen Opinion B = 0.54

Margin of Error is the width of the confidence interval about the mean.

It is given mathematically as,

Margin of Error = (Critical value) × (standard Error)

Critical value at 98% confidence interval for sample size of 1500 is obtained from the z-tables.

Critical value = 2.33

Standard error = σₓ = √[p(1-p)/n]

p = sample proportion = 0.54

n = sample size = 1500

σₓ = √(0.54×0.46/1500) = 0.0128685664 = 0.01287

98% Confidence Interval = (Sample proportion) ± [(Critical value) × (standard Error)]

CI = 0.54 ± (2.33 × 0.01287)

CI = 0.54 ± 0.02998)

98% CI = (0.51, 0.57)

98% Confidence interval = (0.51, 0.57)

B) The number of buyers that chose Opinion B and the number of buyers that did not choose Opinion B are both greater than 10. Why must this inference condition be met?

For this confidence interval to be obtained using sample data, a couple of conditions are necessary to be satisfied. They include;

- The sample data must have been obtained using a random sampling technique.

- The sampling distribution must be normal or approximately normal.

- The variables of the sample data must be independent of each other.

On the second point, the condition for a binomial distribution to approximate a normal distribution is that

np ≥ 10

and n(1-p) ≥ 10

The quantity np is the actual sample mean which is the actual number of buyers that chose Opinion B while n(1-p) is the number of buyers that did not chose Opinion B.

For the confidence interval obtained to be valid, the conditions stated must be satisfied and for the sampling distribution to be approximately normal, the number of buyers that chose Opinion B and the number of buyers that did not choose Opinion B must both be greater than 10.

Step-by-step explanation:

Answer:

a number less then 6 is the anser so the 1st one

Answer:

4x + 5

Step-by-step explanation:

Answer:

Charlene claim is true.

Step-by-step explanation:

Max claims that a point on any line that is perpendicular to a segment is equidistant from a segment's endpoints.

It is not necessary as  shown in the diagram (a).

Charlene claims that the line must be a perpendicular bisector for a point on the line to be equidistant from a segment's endpoints.

It is true as shown in the diagram (b).

So, Charlene claim is true.

Answer: 43.07

Step-by-step explanation:

Answer:

15

Step-by-step explanation:

Given :

StartAbsoluteValue 8 EndAbsoluteValue + StartAbsoluteValue Negative 7 EndAbsoluteValue

THE ABSOLUTE value of any given number is the positive equivalent of that number ; hence ;

|8| = 8 ;

|-7| = 7

Hence,

|8| + |-7| = 8 + 7 = 15

Answer:

15

Step-by-step explanation:

Answer:

X=2, y=-1

Step-by-step explanation:

2y=x-4 equation 1

4x+3y=5 equation 2

x=2y+4 isolate x in equation 1

4(2y+4)+3y=5 substitute value of x from equation 1 into equation 2

8y+16+3y=5

11y=-11

y=-1

solve for x by inputting y value into either equation

2y=x-4

2(-1)=x-4

-2=x-4

2=x

Answer:

4 3/5

hope this helps

have a good day :)

Step-by-step explanation:

1+3=4

1/5+2/5=3/5

Answer:

the first

Step-by-step explanation:

i did the test

the answer is 165 I think because I didn't understand the question

Answer:

102.75

Step-by-step explanation:

The two angles add to 164

<1 + <2 = 164

3x+5  + 5x+9 = 164

Combine like terms

8x+14 = 164

Subtract 14 from each side

8x+14-14 =164-14

8x = 150

Divide by 8

8x/8 = 150/8

x = 18.75

The larger angle is 5x+9 = 5(18.75) +9 =102.75

It depends on what type of triangle you’re dealing with, and what is marked similar.

Answer:

OPTION B IS YOUR ANSWER.

You know its a quadratic when the second difference of each y value is same.

Here's what I mean.

Option B

First all x values differ by 1. So we're good on those.

Now for the y values

Which are

3, -1, -3, -3, -1

find the difference between the second and first fod each... Then do this a second time.

If it gives the same value for all the second differences... Then its quadratic.

-1-3 = -4

-3-(-1) = -3 + 1 = -2

-3-(-3) = -3 + 3 = 0

-1-(-3) = -1 + 3 = 2.

The values are -4, -2, 0, 2.

Now find the difference of these(2nd - 1st)

-2-(-4) = -2 + 4 = 2

0-(-2)= 0 + 2 = 2

2 - 0 = 2

Since all second differences gave 2 as their answer....

Option B is your Quadratic Function!!!

Hope this helps!

Answer:

Step-by-step explanation:

Question 1 = 2002

2002 - 2000 = 2 (the years since 2000)

y = (275 x 2) + 50

y = 875

Question 2 = 1425 likes

2005 - 2000 = 5 (the years since 2000)

y = (275 x 5) + 50

y = 1425

Question 3 = 2018

Since y = 5000

5000 - 50(the extra likes) = 4950

4950 / 275 = 18 (the years since 2000)

2000 + 18 = 2018 (the year)

Answer:

what expression

Step-by-step explanation:

Answer:

$168

Step-by-step explanation:

yearly interest = principal x time x interest rate

interest when interest rate is 12% = 8400 x 0.12 = 1008

interest when interest rate is 10% = 8400 x 0.1 = 840

decrease in interest rate = 1008 - 840 = 168

Step-by-step explanation:

[tex] \tt{} \frac{155}{18} \times 2[/tex]

[tex]\tt{} \frac{155}{9} [/tex]

[tex]\tt{}17 \frac{2}{9} \\ \\ \\ [/tex]

Answer:If a segment is parallel to one side of a triangle and intersects the other two sides, then the triangle formed is similar to the original and the segment that divides the two sides it intersects is proportional

Step-by-step explanation:

Step-by-step explanation:

m(x) = x+3

y = x+3

=> x = y-3

m`¹(x) = x-3

Answer:

32 degrees.

Step-by-step explanation:

A triangle is 180 degrees.

180 - 85 - 63 = 32 degrees.

Answer:

x = 32

Step-by-step explanation:

All interior angles in a triangle equal to 180

use this to solve for x

180 = 85 + 63 + x

180 - 85 - 63 = x

32 = x

Answer:

5. add all of those numbers and watch for like term which are h's. honestly im giving you how to do the problems, but you need to solve it.

6. multiply a rectangle and then the other rectangle and then find like terms and add them up.

if you need any help just comment, see you and hope you understand this, if not comment.  

Answer:

a+k ≤ 35

8a+4k ≤ 190

Some possible combinations are 10 adults and 20 kids

5 adults and 29 kids

Step-by-step explanation:

Let k= number of kids

a = number of adults

a+k ≤ 35  since you can have at most 35

8a + 4k ≤ 190 since the most you can spend is 190

Some possible combinations are 10 adults and 20 kids

(10+30 < 35 and 8*10+4*20 = 80+80 =160< 190)

Another possible combination

5 adults and 29 kids

(5+29 < 35  and 5*10 + 4*29 =50+116=166)

Answer:

1.5 hours

Step-by-step explanation:

Total watering hours

4 * 3 = 12

time needed for 8 pipes

12/8 = 1.5 hours

Answer:

471 cm

Step-by-step explanation:

here diameter of the circle is 150cm, and we know radius is half of diameter.

therefore r = 150/2

= 75

Now,

according to formula,

Circumference of circle = 2πr

= 2 x 3.14 x 75

= 471 cm