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Answer:

Measure of angle A is 65 degrees and measure of angle B is 37 degrees.

Step-by-step explanation: First add all of the degrees of excluding x (4+(-9)) which is -5. Then subtract that from 180 since that is the sum of all the angles in a triangle which gives you 185. Then divide it by the number of "x's" that there are which is 5 which gives you 37. So angle B is x which is 37 degrees and angle a is 2(37)-9 which is 65 degrees. Hope this helps.

Answer:

4608

Step-by-step explanation:

Answer:

0.384 = 38.4% probability that exactly two of their three children will have that trait.

Step-by-step explanation:

For each children, there are only two possible outcomes. Either they have the trait, or they do not. The probability of a child having the trait is independent of any other child. 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.

Mr. and Mrs. Doran have a genetic history such that the probability that a child being born to them with a certain trait is 0.8.

This means that [tex]p = 0.8[/tex]

Three children:

This means that [tex]n = 3[/tex]

What is the probability that exactly two of their three children will have that trait?

This is P(X = 2).

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

[tex]P(X = 2) = C_{3,2}.(0.8)^{2}.(0.2)^{1} = 0.384[/tex]

0.384 = 38.4% probability that exactly two of their three children will have that trait.

Answer:

The answer is observational study

The best design for this study will be an Observational study. Then the correct option is B.

An epidemiological survey draws conclusions from a sample of a population in disciplines like epidemiology, social sciences, psychology, and statistics when the regression coefficient is not within the researcher's control due to ethical considerations or practical limitations.

An analysis of the strictness of the parents or guardians of pupils at their school was chosen by students in a high school mathematics class as the topic for their term project. They wanted to determine how many pupils at their school saw their parents or guardians as "tight." Since they lack the time to speak with every kid in the school, they intend to gather information from a representative group of pupils.

The best design for this study will be an Observational study. Then the correct option is B.

More about the Observational study link is given below.

https://brainly.com/question/15938198

#SPJ2

Answer:

306 calories

Step-by-step explanation:

By looking at the problem, we can conclude the number of chicken nuggets and the calories are directly related, when the amount of chicken nuggets go up, the calories also go up, proportionally. Because of this, we can set up an equation:

6 / 204 = 9 / x

Where x is the amount of calories in 9 chicken nuggets.

Now, we can simplify by cross multiplying:

6x = 1836

x = 306 calories

Answer:

306 calories

Step-by-step explanation:

Answer:

4 sqaure root 24x^3/ 2x

Step-by-step explanation:

See steps below:)

Answer:

B) 82 degrees

Step-by-step explanation:

360-108-92-78=82

Step-by-step explanation:

Answer:

This means that the domain of this situation is [tex]m \in [0,200][/tex], that is, you can talk between 0 and 200 minutes in the month.

Step-by-step explanation:

Ace Telecommunications charges $0.12 per minute of phone use plus a monthly service fee of $8.00 for the phone service.

This means that the cost of speaking for m minutes is given by:

[tex]C(m) = 8 + 0.12m[/tex]

You can talk for no more than 200 minutes in a month.

This means that:

[tex]m \leq 200[/tex]

What is the domain of this situation?

The domain of a function is the input variable.

In function C(m), m is the input variable, and since you can talk for no more than 200 minutes in a month, the restriction for the input is [tex]m \leq 200[/tex].

This means that the domain of this situation is [tex]m \in [0,200][/tex], that is, you can talk between 0 and 200 minutes in the month.

Answer:

Step-by-step explanation:

There are no other expression here what are the answer options

Answer:

From left to right

20, 40, 0.2, 0.6

Step-by-step explanation:

y/x = k

1st chart

20/1 = 20

2nd chart

80/2 = 40

3rd chart

0.4/2 = 0.2

4th chart

4.5/7.5 = 0.6

A solid of revolution is a three-dimensional figure obtained by rotating a two-dimensional figure (or curve) around a straight line (called the axis) that lies in the same plane. ... Since the triangle's interior is shaded, it creates the interior of the cone, creating a solid figure.

Three dimensional shapes are obtained by rotating the two dimensional shapes. When a circle is rotated we get sphere; when a triangle is rotated we get cone; when rectangle or square is rotated we get cylinder

Answer:

It is going to be the first one

Answer:

c = 8.9 or 4√5

Step-by-step explanation:

Answer:

8.9

Step-by-step explanation:

Correct question is;

A tank contains 100 kg of salt and 1000 L of water. A solution of a concentration 0.05 kg of salt per liter enters a tank at the rate 9 L/min. The solution is mixed and drains from the tank at the same rate.

Required:

a. Find the amount of salt in the tank after 3.5 hours.

b. Find the concentration of salt in the solution in the tank as time approaches infinity.

Answer:

A) y(3.5) = 40.11 kg of salt

B) Concentration as time approaches infinity = 0.05 kg/l

Step-by-step explanation:

We are given;

Mass of salt; m_s = 50 kg

Volume of water; v_w = 1000 L

Rate at which salt enters = 0.05 kg/L × 9 L/min. = 0.45 kg/min

Since the solution drains at same rate as it enters, then;

Rate at which salt goes out = 9y/1000

Where y is the concentration in the tank.

Thus, the differential equation of the amount of water in the tank will be;

dy/dt = Rate at which salt enters - Rate at which salt goes out

dy/dt = 0.45 - (9y/1000)

Simplifying this gives;

dy/dt = (9/1000)(50 - y)

Rearranging, we have;

dy/(50 - y) = dt(9/1000)

Integrating both sides gives;

In(50 - y) = 9t/1000 + A

If we do exponents of both sides, we will get;

50 - y = Ae^(-9t/1000)

At initial conditions, y = 0 and t = 0.

Thus;

A = 50

Thus, quantity of salt in tank will be written as;

50 - y = 50e^(-9t/1000)

Making y the subject gives;

y = 50 - 50e^(-9t/1000)

At t = 3.5 hours = 210 minutes

y = 50 - 50e^(-9 × 180/1000)

y(3.5) = 40.11 kg of salt

As t approaches infinity, it means t will be zero. Thus;

y = 50 - 50e^(-9 × 0/1000)

y = 50 kg

Concentration = 50/1000 = 0.05 kg/l

______________________________________

The answer is 1/15.

______________________________________

Answer: 0.4 : 6 = 1 : 15

Step-by-step explanation: Change values to whole numbers.

Convert any decimal numbers to integers by multiplying both sides by 101 = 10 to eliminate all, 1, decimal places.

We then have:

0.4 : 6 = 4 : 60

Try to reduce the ratio further with the greatest common factor (GCF).

The GCF of 4 and 60 is 4

Divide both terms by the GCF, 4:

4 ÷ 4 = 1

60 ÷ 4 = 15

The ratio 4 : 60 can be reduced to lowest terms by dividing both terms by the GCF = 4 :

4 : 60 = 1 : 15

Therefore:

0.4 : 6 = 1 : 15

Answer:

219

Step-by-step explanation:

Answer:

113° = y

Step-by-step explanation:

y = 180 - 67

y = 113°

Hope this helps!

Answer:

infinit many solutions

Step-by-step explanation:

Y=2x-6.    Equation 1

2y=4x-12. Equation 2

2(2x-6)=4x-12 substitute y value of equation 1 into y value of equation 2

4x-12=4x-12. Infinite many solutions

Answer:

4m

Step-by-step explanation:

7x4=28

meters=[tex]m^{2}[/tex]

Answer:x=19/2

Step-by-step explanation:

4(x+2.5)=48

Step 1: Simplify both sides of the equation.

4(x+2.5)=48

(4)(x)+(4)(2.5)=48(Distribute)

4x+10=48

Step 2: Subtract 10 from both sides.

4x+10−10=48−10

4x=38

Step 3: Divide both sides by 4. 4x/4 = 38/4 = 19/2

Answer:

4(x + 2.5) = 48.

4x + 4 x 2.5 = 48.

4x + 10 = 48.

4x + 10 -10 = 48 -10

4x = 38

Divide both sides by 4.

X = 9.5.

X = 10 if approximated.

Answer:

Number of cheesecakes local bakery expects to sell in a day = 14 (Approx.)

Step-by-step explanation:

Given:

Number sold  Probability   xP(x)

0                          0.1             0

5                          0.19          0.95

10                         0.05          0.5

15                         0.14           2.1

20                        0.52          10.4

Find:

Number of cheesecakes local bakery expects to sell in a day

Computation:

Number of cheesecakes local bakery expects to sell in a day = Sum of xP(x)

Number of cheesecakes local bakery expects to sell in a day = 0 + 0.95 + 0.5 + 2.1 + 10.4

Number of cheesecakes local bakery expects to sell in a day = 13.95

Number of cheesecakes local bakery expects to sell in a day = 14 (Approx.)

Answer:

Yes it is talking about more than one person

Answer:

c

Step-by-step explanation:

Answer: A im pretty sure

Answer:

c

you can do this brooo(θ‿θ)(θ‿θ)(θ‿θ)

We can notice from the figure that : Area of the home plate is equal to sum of the Area of the rectangle ( 8 in x 15 in) and Area of the triangle with height 6 in and base 15 in.

Area of the rectangle : Length x Width

⇒  Area of the rectangle = 15 x 8 = 120 in²

Area of the triangle : 1/2 x Base x Height

⇒  Area of the triangle = 1/2 x 15 x 6 = 45 in²

Area of the home plate = Area of rectangle + Area of triangle

⇒ Area of the home plate = 120 in² + 45 in² = 165 in²

Answer : D

Answer:

3,840 in^3

Step-by-step explanation:

Answer:

kjk

Step-by-step explanation:

ddfv