Which sets of angles sum to 180

Answer:

They are independent events

Step-by-step explanation:

For independent events;

Pr(A & B) = Pr(A) × Pr(B)

Given that:

A = day is Monday or Wednesday

Since we have four weeks and each week will have one Monday and Wednesday each,

Pr(A) = (8/28)

B = day falls in the first or third week

Since, first and the third week has a total of 14 days,

Pr(B) = 14/28

Therefore;

Pr(A) × Pr(B) = 8/28 * 14/28

Pr(A) × Pr(B)  = 1/7

Now, A and B = day is either Monday or Wednesday, and it is in the first or third week

There are four such days, Thus Pr(A and B) = 4/28 = 1/7

Since, Pr(A and B) = Pr(A) * Pr(B),

A and B are independent events

Answer: A (1)

Step-by-step explanation:

The way to find a common factor is by dividing the given numbers by the largest possible multiple that still gives you a whole number

A

49/1=49

62/1=62

80/1=80

This is an option

B

49/2=24.5

62/2=31

80/2=40

This is not an option, 24.5 is not a whole number

C

40/3=16.333(repeating)

This is not an option, you are not given a whole number

D

49/4=12.25

This is also not an option, 12.25 is not a whole number

Answer

Our only possible answer is A-1

Answer:

[tex]35\%[/tex] represents the sample proportion of the population

Step-by-step explanation:

From the question we are told that

   The sample size is  n  = 947

   The proportion of the population that believes that the Yankees will miss the playoffs this year is    [tex]k = 35\% = 0.35[/tex]

From the question we are told the confidence level is  97%

   The lower limit of the confidence level is a = 28%

    The upper limit of the  b = 42%

Generally the sample proportion of this population is mathematically represented as

         [tex]\^ p = \frac{a+ b}{2}[/tex]

=>      [tex]\^ p = \frac{28 + 42 }{2}[/tex]

=>      [tex]\^ p = 35\%[/tex]

Hence  [tex]35\%[/tex] represents the sample proportion

Answer$46

Step-by-step explanation: Because if he saves $6 every week for 6 weeks then all you have to do is times 6 by 6 then plus ten equaling your problem.

Answer:

d: 15 units squared

Step-by-step explanation:

The area of a triangle is [tex]\frac{b*h}{2}[/tex]:

Answer:

VT, TU, UV.

Step-by-step explanation:

The smallest angle is always across from the shortest side. And the longest angle is always across from longest side.

Answer:

i think C sorry if wrong

Answer:

21

Step-by-step explanation:

It is going by multiples of 7, so the answer is 21.

Answer:

61

Step-by-step explanation:

   3x + 28

   5x + 52

+   2x - 10    

  10x + 70 = 180º

      x = 11

3(11) + 28 = 61º

Answer:

GCF

Step-by-step explanation:

Answer: The largest number of snack bags she could make is 5

Step-by-step explanation:

20/5=4 apples

35/5=7 crackers

In each bag she will place 4 apples and 7 crackers

Answer:

60 minutes is 20% of 300%

Step-by-step explanation:

Answer:

B. y-axis

A. f(x) = f(-x)

Answer:

-3326

Step-by-step explanation:

replaces the x's with -3

so (5(-3))^3 + (2(-3))^2 -4(-3)+1 = -3326

Answer:

(130.08, 139.92)

Step-by-step explanation:

Given that:

Mean (m) = 135

Standard deviation (σ) = 30

Sample size (n) = 100

α = 90%

The confidence interval value is obtained using the relation:

Mean ± Zcritical * (standard deviation / sqrt(n))

Zcritical at 90% = 1.64

standard deviation / sqrt(n) = 30 / sqrt(100)

= 30 / 10 = 3

Hence,

135 ± 1.64 * (3)

Lower limit : 135 - (1.64 * 3) = 130.08

Upper limit : 135 + (1.64 * 3) = 139.92

Hence,

Confidence interval = (130.08, 139.92)

Answer:

Option (2)

Step-by-step explanation:

Given sequence is,

8, 24, 72, 216........

1st term of the sequence 'a' = 8

Ratio of 2nd and 1st term = [tex]\frac{24}{8}=3[/tex]

Ratio of 3rd and 2nd term = [tex]\frac{72}{24}=3[/tex]

There is a common ratio of 'r' = 3 in each successive and previous term.

Therefore, it's a geometric sequence.

Since, nth term of a geometric sequence is given by,

[tex]T_n=a(r)^{n-1}[/tex]

Therefore, function representing the geometric sequence is,

f(n) = [tex]f(n)=8(3)^{n-1}[/tex]

Option (2) is the answer.

Answer:

Plug in the values for x

Step-by-step explanation:

plug in x values into the equation

for example, plug -2 into the equation.  y= -2(-2).  y=4

So on and so forth

Answer:

A. 16/20

General Formulas and Concepts:

Trigonometry

Step-by-step explanation:

Step 1: Identify

Angle θ

Opposite Leg = 16

Hypotenuse = 20

Step 2: Find Ratio

Answer:

A. 16/20

Step-by-step explanation:

The sine ratio is the opposite leg over the hypotenuse, opp/hyp.

For angle theta, the opposite leg is 16. The hypotenuse is 20.

sin (theta) = 16/20

Answer: A. 16/20

Answer:

1.2 mph

Step-by-step explanation:

3/5 = .6 per half hour, you need to find the mph rate and since you're dealing with a half hour rate, you double it. .6 miles × 2 & 30 mins ×2= 1.2 miles per hour

Answer:

4

Step-by-step explanation:

Answer:Option (a) is correct.

Step-by-step explanation:

La fórmula de interés simple, nos permite calcular I, que es el interés ganado o pagado de un préstamo. Según esta fórmula, la cantidad de interés está dada por I = C·i·t, donde C es el capital, i es la tasa de interés anual en forma decimal, y t es el período de tiempo expresado en años Tenemos que:

C = 700 dólares

i  = ???

t = 90/360 = 0.25 (Expresado en años)

I = C*i * t

i = I / C*t

i = 63/ (0.25*700)

i = 0.36

R/ Debe elegir una tasa de interés de 36% anual.

The interest on the amount invested for 90days given $63 as interest is 36.5%

Simple interest is the amount of money added to money invested. It is calculated as:

[tex]SI = \frac{PRT}{100}[/tex]

P is the amount invested (principal) = $700

R is the rate

T is the time (in years) = 90/365

SI is the interest = $63

Substitute the given values into the formula

[tex]63=\frac{700 \times R \times 90}{365 \times 100}\\63=\frac{63000R}{36500}\\63= 1.72602R\\R=36.5\%[/tex]

This shows that the interest on the amount invested for 90days given $63 as interest is 36.5%

Learn more here: https://brainly.com/question/21640787

Answer:

noooooooooooooooooooooooooooooooooooooooooooo

Step-by-step explanation:

Answer:2 miles per hour

Step-by-step explanation:

1/3 times 6

To determine how fast is Richard walking, the concept of average speed comes into picture. The average speed of Richard is 2 miles per hour. Therefore the correct option is option B

Average speed can be calculated by dividing total distance traveled by a body to the total time taken for the body to reach its destination.

Now determine how fast is Richard walking, in miles per hour

We have to calculate the average speed which is the ratio of the total distance traveled by a body to the total time

Total distance traveled by Richard = 1/3 mile

Total time taken = 1/6 hour

Average speed =  total distance /  total time

Average speed = (1/3) / (1/6)

Reciprocal the denominator term, and we get

Average speed = (1/3) × 6

Average speed = 2 miles per hour

Therefore, Richard is at an average speed of 2 miles per hour

Learn more about the average speed here :

brainly.com/question/12322912

#SPJ5

Answer:

one number= x = 44

the other number= (x-4)= 40

Step-by-step explanation:

one number= x

the other number= (x-4)

x + (x-4) = 84

2x= 84+4

2x= 88

x= 88/2= 44

one number= x = 44

the other number= (x-4)= 40

Answer:

you actually got all the answers

Step-by-step explanation:

Answer:

the ones you chose are correct :-)

Answer:

[tex]\huge\boxed{B.\ \dfrac{12}{35}}[/tex]

Step-by-step explanation:

Look at the picture.

We know:

[tex]\sin\theta=\dfrac{a}{c}\\\\\tan\theta=\dfrac{a}{b}[/tex]

We have

[tex]\sin\theta=\dfrac{12}{37}\Rightarrow a=12,\ c=37[/tex]

Use the Pythagorean theorem.

[tex]a^2+b^2=c^2\\\\12^2+b^2=37^2\\\\144+b^2=1369\qquad|\text{subtract 144 from both sides}\\\\b^2=1225\to b=\sqrt{1225}\\\\b=35[/tex]

Calculate tangent:

[tex]\tan\theta=\dfrac{12}{35}[/tex]

Answer:

Marcos reads 3 books

Step-by-step explanation:

The question is asking how many books he read in 1 week, and it said "Marcos reads 3, books in 1 weeks. At this rate, how many books does Marcos read in 1 week?", so he read 3 books.

Answer:

n = 13

Step-by-step explanation:

Given

n - 26 = - 13 ( add 26 to both sides )

n = 13

Final Answer: [tex]n = 13[/tex]

Steps/Reasons:

Question: Solve for n. n - 26 = -13. n = ?

Step 1: Add 26 to both sides.

[tex]n = -13 + 26[/tex]

Step 2: Simplify -13 + 26 to 13.

[tex]n = 13[/tex]

~I hope I helped you :)~

Answer:

30+6+0.9+0.01 =36.91

Step-by-step explanation: Here ya go ;>