m∠1=119∘ and m∠2=61∘.
What is m∠3?

First off, remember that finding the x-intercepts means setting y equal to zero and solving for the x-values, so this question is really asking you to "Solve 4x2 – 2x – 5 = 0".

Now, let's start the completing-the-square process. To begin, we have the original equation (or, if we had to solve first for "= 0", the "equals zero" form of the equation). In this case, we were asked for the x-intercepts of a quadratic function, which meant that we set the function equal to zero

Answer:

Step-by-step explanation:

Correct choice is D

Answer: varibles coffeeefishents exponets study then eat

Step-by-step explanation:

Answer:

regroup

Step-by-step explanation:

Answer:

volume = 502.4 cm³

Step-by-step explanation:

volume = 4²π(10) = 160π = 502.4 cm³

Answer:

3+78=81

Step-by-step explanation:

2+2

Answer:

40

Step-by-step explanation:

solve for two squares. Square 1: 32. Square 2: 8. answer: 32 + 8

Answer:

2 + 3 = 5

Step-by-step explanation:

ones Place Value

2 + 3 = 5

Put the 5 in Ones place

carry  

 2

+  3

= 5

Answer:

a) 0.3191 = 31.91% probability that at least one individual with a reservation cannot be accommodated on the trip.

b) The expected number of available places when the limousine departs is 0.1.

c) [tex]P(X = 3) = 0.09[/tex]

[tex]P(X = 4) = 0.25[/tex]

[tex]P(X = 5) = 0.32[/tex]

[tex]P(X = 6) = 0.34[/tex]

Step-by-step explanation:

For each reservation, there are only two possible outcomes. Either the person appears for the trip, or the person does not. The probability of a person appearing for the trip is independent of any other person. This means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

The expected value of the binomial distribution is given by:

[tex]E(X) = np[/tex]

The company will accept a maximum of six reservations for a trip, and a passenger must have a reservation.

This means that [tex]n = 6[/tex]

35% of all those making reservations do not appear for the trip.

This means that 100 - 35 = 65% appear, so [tex]p = 0.65[/tex]

A) If six reservations are made, what is the probability that at least one individual with a reservation cannot be accommodated on the trip?

This will happen if more than four appear, as the limousine can accommodate up to four passengers on any one trip. So

[tex]P(X > 4) = P(X = 5) + P(X = 6)[/tex]

In which

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 5) = C_{6,5}.(0.65)^{5}.(0.35)^{1} = 0.2437[/tex]

[tex]P(X = 6) = C_{6,6}.(0.65)^{6}.(0.35)^{0} = 0.0754[/tex]

[tex]P(X > 4) = P(X = 5) + P(X = 6) = 0.2437 + 0.0754 = 0.3191[/tex]

0.3191 = 31.91% probability that at least one individual with a reservation cannot be accommodated on the trip.

B) If six reservations are made, what is the expected number of available places when the limousine departs?

The expected number of arrivals is given by:

[tex]E(X) = np = 6*0.65 = 3.9[/tex]

Since the are four places:

4 - 3.9 = 0.1

The expected number of available places when the limousine departs is 0.1.

C) Suppose the probability distribution of the number of reservations made is given in the accompanying table.Number of reservations 3 4 5 6Probability 0.09 0.25 0.32 0.34Let X denote the number of passengers on a randomly selected trip. Obtain the probability mass function of X.

This is the probability of each outcome. So

[tex]P(X = 3) = 0.09[/tex]

[tex]P(X = 4) = 0.25[/tex]

[tex]P(X = 5) = 0.32[/tex]

[tex]P(X = 6) = 0.34[/tex]

         Rate of interest by which amount $181.25 becomes $1450 in 7 years by continuous compounding will be 29.71%.

         Final amount = [tex]Pe^{rt}[/tex]

         Here, P = Principal amount

                    r = Rate of interest

                    t = Duration of investment

Given in the question,

P = $181.25

t = 7 years

Final amount = $1450

Substitute these values in the expression,

[tex]1450=181.25e^{7r}[/tex]

[tex]e^{7r}=8[/tex]

[tex]\text{ln}(e)^{7r}=\text{ln}(8)[/tex]

[tex]7r=2.07944[/tex]

[tex]r=0.2971[/tex]

[tex]r=29.71\%[/tex]

       Therefore, rate of intereset for the investment is 29.71%.

Learn more about continuous compounding here,

https://brainly.com/question/13079114?referrer=searchResults

Answer:

x=-1

Step-by-step explanation:

1/4x+1/2=2/4x+3/4

1/4x+2/4=2/4x+3/4

2/4=(2/4x-1/4x)+3/4

2/4=1/4x+3/4

2/4-3/4=1/4x

-1/4=1/4x

-1=x

x=-1

Answer:

c the ratio of shots made to shots taken if 7 out of 12 shots taken are made

E the ratio of small dogs to big dogs if there are 7 small dogs and 12 big dogs

Step-by-step explanation:

Ratio of a to b:

The ratio of a to b is given by a divided by b.

A the ratio of shells to rocks if there are 7 rocks and 12 shells

12 shells and 7 rocks, so this ratio is 12 to 7.

B the ratio of shoes to dresses if there are 7 dresses and 12 shoes

12 shoes and 7 dresses, so this ratio is 12 to 7.

c the ratio of shots made to shots taken if 7 out of 12 shots taken are made

7 shots made out of 12 taken, so this ratio is 7 to 12, and c is one of the correct options.

D the ratio of sick patients to total patients if there are 7 sick patients and 12 healthy patients

7 sick patients

7 + 12 = 19 total patients

So this ratio is 7 to 19

E the ratio of small dogs to big dogs if there are 7 small dogs and 12 big dogs

7 small dogs and 12 big dogs, so this ratio is 7 to 12, and e is the other correct option.

Answer:

w = 1/4

Step-by-step explanation:

Distribute:

-3w + 9 - 9w -9 = 4w + 8 -12

Combine like terms:

-16w = -4

w = 1/4

Answer:

w=1/4

Step-by-step explanation:

-3w+9-9w-9=4w+8-12

-12w=4w+8-12

-12w=4w-4

-12w-4w=-4

-16w=-4

w=-4/-16

w=1/4

Answer:

K=7

Step-by-step explanation:

hope it helps you

have a wonderful day!!!

Answer:

~114.56

Step-by-step explanation:

Because you're asked to find the number so that x% is y, we will have to find that number. The equation in that case would be NUM * 0.934 = 107. Divide both sides by .934 to get an answer of approximately 114.56.

Answer:

c=45 +679 =6y=8h

Step-by-step explanation:

Answer:

4   bc it is simple math

Step-by-step explanation:

pls give brainliest

Answer:

Your answer is C.

exponential is to the power of a value and hence c meets the requirements

Answer:

A perpendicular bisector of a line segment is a line segment perpendicular to and passing through the midpoint of (left figure). The perpendicular bisector of a line segment can be constructed using a compass by drawing circles centered at and with radius and connecting their two intersections.

Answer:

The area of this shape can not be solved using the information given

Step-by-step explanation:

There is no given side length of any of the shapes.

If one side is given then the whole shape could be solved.

Answer:

what?????????????????????????

Answer:

What do you need help with?

Step-by-step explanation:

Step-by-step explanation:

rectangle

= 15.3 × (8.2 - 5.7 )

= 15.3 × 2.5

= 38.25

triangle

= 1/2 × (15.3 - 5.1+6.7) × 5.7

= 1/2 × 3.5 × 5.7

= 1/2 × 19.95

= 9, 97

total = 38.25+9.97 = 48.22 ft

Answer:

3s+7.99= 71.83 .

Step-by-step explanation:

since there are 3 shirts you would multiply s by 3 so 3s. To me it looks like 7.99 is the constant and 71.83 is the total including this constant. so putting all of these together in  y=mx+b format you get the equation 71.83= 3s+7.99

hope this helps

Answer: 40 beads

Step-by-step explanation: Its said that Ben have 13 fewer beads than Jori. That mean 27+13=40

Answer:

40

Step-by-step explanation:

27 + 13 = 40

Answer:

24÷8=3

Step-by-step explanation:

because 24÷8=3