Help please!!!!!!!!!!!!!!!!!

Answer:

a = c * SinФ

Step-by-step explanation:

SinФ = opp / hyp

c = hyp

a = opp

SinФ = a / c

therefore

a = c * SinФ

Required variance of this binomial random variable is 2.4.

What is binomial expressions?

As the power increases, the expansion becomes a long and tedious calculation. A binomial expression raised to a very high power can be easily calculated using the binomial theorem. The binomial theorem is a method for expanding an expression raised to any finite power. The Binomial Theorem is a powerful extension tool that can be applied to algebra, probability, etc.

A binomial expression is an algebraic expression that contains two different terms. For example: a + b, a³ + b³ etc.

The variance of a binomial random variable with parameters n and p is given by:

Var(X) = np(1-p)

Here given,n = 10 and p = 0.4

So we have,Var(X) = 10×0.4 ×(1 - 0.4) = 2.4

Therefore, the variance of this binomial random variable is 2.4.

Learn more about Binomial

:https://brainly.com/question/9553719

#SPJ1

Answer:

a) 0

b) 1

c)3

d) 1

Step-by-step explanation:

plz mark me brainlist

Answer: 3 (I think)

Step-by-step explanation: 3 is 3/1 as a fraction sooooo

Hi king,

Write \(4x^{2} + 16x - 9\) in vertex form:

f(x)=\(4x^{2} + 16x - 9\)

f(x)=\(4(x+2)^{2} -25\)

Write \(5x^{2} - 10x + 4\) in vertex form:

g(x)=\(5x^{2} - 10x + 4\)

g(x)=\(5(x-1)^{2} -1\)

Have a great day.

Answer:

the answer you selected, and the reflection over the x-axis, the y-axis, then the x-axis.

Step-by-step explanation:

If the population is half women, then we can expect that half of the 408 people chosen would also be women. Therefore, we can expect 204 women to be in the sample if it was randomly drawn from the population.

To determine how likely it is that the sample has only 184 women or fewer, we need to use a statistical test. We can use a binomial distribution with n=408 and p=0.5 (since half the population is women). We want to find the probability of getting 184 women or fewer in the sample if it was randomly drawn from the population. Using a binomial calculator, we find that the probability of getting 184 women or fewer in the sample if it was randomly drawn from the population is 0.0036, or 0.36%. This means that if the sample truly was randomly drawn from the population, it would be very unlikely to get a sample with only 184 women or fewer. However, if the sample did have only 184 women or fewer, it could suggest that the sample was not truly randomly chosen and that there may be bias against women in the selection process. Further investigation would be needed to confirm this suspicion.

Learn more about population here

https://brainly.com/question/31243583

#SPJ11

Answer:-12

Step-by-step explanation:

So if the equation is 5y+2x-z and the substitutions are x=4     y=-3      z=5 , all you have to do is replace each variable with its given numbers. Like so

5(-3)+2(4)-5

Now what you have to do is simplify

Negative times a positive is a negative

Negative times a negative is a positive

Positive times a positive is a positive

So....

-15+8-5

-20+8

-12

This is a simple substitution problem. Remember the basics of negatives and positives! Than you will be just fine! :D

we can predict that the population of the city in 2020 will be approximately 2931 (rounded to the nearest whole number).

What is percentage ?

A percentage is a way of expressing a number as a fraction of 100. The symbol for percentage is "%". For example, 50% means 50 out of 100 or 0.5 as a decimal.

Percentages are commonly used to represent proportions, rates, and changes in quantities. They can be used to compare quantities of different sizes, or to express how much one quantity has changed relative to another quantity.

According to the question:
To predict the population of the city in 2020, we can use the formula:

P = P₀(1 + r)ᵗ

where:

P₀ = the initial population (in 2000) = 2000

r = the annual growth rate as a decimal = 0.02

t = the number of years since the initial population = 20 (since we want to predict the population in 2020, which is 20 years after 2000)

Substituting these values into the formula, we get:

P = 2000(1 + 0.02)²⁰

Using a calculator, we can simplify this to:

P ≈ 2930.63

Therefore, we can predict that the population of the city in 2020 will be approximately 2931 (rounded to the nearest whole number).

To know more about percentage visit:
https://brainly.com/question/29116686
#SPJ1

Step-by-step explanation:

\( {a}^{2} + 7a + 12 = a + 4 \\ {a}^{2} + 7a - a - 4 + 12 = 0 \\ {a}^{2} + 6a + 8 = 0 \\ {a}^{2} + 4a + 2a + 8 = 0 \\ a(a + 4) + 2(a + 4) = 0 \\ (a + 4)(a + 2) = 0 \\ a + 4 = 0 \: or \: a + 2 = 0 \\ a = - 4 \: or \: a = - 2\)

Answer:

a = -4 or a = -2

Step-by-step explanation:

a² + 7a + 12 = a + 4

=> a² + 7a - a + 12 - 4 = 0

=> a² + 6a + 8 = 0

=> a² + 2a + 4a + 8 = 0

=> a(a + 2) + 4(a + 2) = 0

=> (a + 4)(a + 2) = 0

=> a = -4 or a = -2

Segment QS is not a radius of Circle P because it is diameter.

Check the picture below, so the parabola looks more or less like that one, with a "p" distance of 2 units that is positive, whilst the vertex, which is always half-way between the focus point and the directrix is where you see it there, thus

\(\textit{horizontal parabola vertex form with focus point distance} \\\\ 4p(x- h)=(y- k)^2 \qquad \begin{cases} \stackrel{vertex}{(h,k)}\qquad \stackrel{focus~point}{(h+p,k)}\qquad \stackrel{directrix}{x=h-p}\\\\ p=\textit{distance from vertex to }\\ \qquad \textit{ focus or directrix}\\\\ \stackrel{"p"~is~negative}{op ens~\supset}\qquad \stackrel{"p"~is~positive}{op ens~\subset} \end{cases} \\\\[-0.35em] ~\dotfill\)

\(\begin{cases} h=-1\\ k=2\\ p=2 \end{cases}\implies 4(2)( ~~ x-(-1) ~~ )~~ = ~~(y-2)^2\implies 8(x+1)=(y-2)^2 \\\\\\ x+1=\cfrac{1}{8}(y-2)^2\implies \boxed{x=\cfrac{1}{8}(y-2)^2-1}\)

Answer: UR WELCOME

Step-by-step explanation: ANSWER ON EDMENTUM

Answer:

36

Step-by-step explanation:

A^2+B^2=C^2

10^2+B^2=38^2

We are solving for B squared

So 100+B^2=1444

                      -100

1344 and now take the square root of that number and you have your answer of 36

I hope this helps and have a good night!

Matrix summarizing the purchases made by Sally and Anna: Sally Anna Skirts32 Dresses24 Shirts82 Skirts24 Dresses43Shirts3The matrix for Sally is [3 2 8], and the matrix for Anna is [2 4 3].

Matrix summarizing the cost of the items in dollars:SkirtsDressesShirtsSally33*11=33  2*14=28  8*9=72Anna22*11=22  4*14=56  3*9=27The matrix for Sally is [33 28 72], and the matrix for Anna is [22 56 27]. (c) Using matrix multiplication to find a matrix summarizing the total amount spent in dollars:33  28  72 matrix (purchases) × 11  14  9 matrix (costs) = 603  560  1179 matrix (total amount spent).

To find the matrices summarizing Sally and Anna's purchases, we can use the information in the problem and place them in matrix form as shown below:SallyAnnaSkirts32Dresses24Shirts82Skirts24Dresses43Shirts3To find the matrices summarizing the cost of the items in dollars, we need to multiply the number of each item by its cost, as shown below:SkirtsDressesShirtsSally33*11=33  2*14=28  8*9=72Anna22*11=22  4*14=56  3*9=27Multiplying the matrices from parts (a) and (b) gives us the matrix summarizing the total amount spent in dollars, as shown below:33  28  72 matrix (purchases) × 11  14  9 matrix (costs) = 603  560  1179 matrix (total amount spent)

To know more about matrix visit:

https://brainly.com/question/29132693

#SPJ11

Answer:

3.959797975

Step-by-step explanation:

1. Find the square root of 98 which is 9.899494937

2. Divide 9.899494937 by 2.5 which is 3.959797975

(sorry if it's wrong, but I think it's correct)

Answer:

No. There are only 8 tenths.

Step-by-step explanation:

The long strips are the tenths. If you count them, there is 8 tenths. You need 10 tenths to make one. 8 < 10. There are not enough tenths to make a one.

#YourWelcome.

the median is 124

the mode isb45

the range is 28

I believe that it is 31.4, but please correct me if I'm wrong.

The required area of the sculpture that is shaped like a circle is \(78.5m^{2}\).

Given that,

Jessie designed a sculpture that is shaped like a circle,

The circumference of the sculpture is 10π meters.

We have to determine,

Which measurement is closest to the area of the sculpture in square meters.

According to the question,

Circumference of the circle = \(2\pi r\)

Where, circumference = \(10\pi\)

Then,

\(10\pi =2\pi r \\\\r = \dfrac{10\pi }{2\pi }\\\\r = 5m\)

Therefore,

Jessie designed a sculpture that is shaped like a circle.

Area of the circle = \(\pi r^{2}\)

Where, r = 5m

Then,

Area of the circle is given by,

\(= \pi r ^{2}\\\\= 3.14 \times (5)^{2}\\\\= 3.14 \times 25\\\\= 78.5m^{2}\)

Hence, The required area of the sculpture that is shaped like a circle is \(78.5m^{2}\).

To know more about Circle click the link given below.

https://brainly.com/question/20908820

The B for the given inequality is, 3.

What is inequality?

The idea of inequality, which is the state of not being equal, especially in terms of status, rights, and opportunities1, is at the core of social justice theories. However, because it frequently has diverse meanings to different people, it is prone to misunderstanding in public discourse.

Consider, the given inequality

\(2x - 8 < 2\)

Adding 8 on both sides,

\(2x - 8 + 8 < 2 + 8\\2x < 10\)

Now, divide both sides by 2, we get

\(\frac{2x}{2} < \frac{10}{2} \\x < 5\)

x having the value which is less than 5.

Therefore, the solution for the inequality is, 3.

To know more about the inequality, click on the link

https://brainly.com/question/24372553

#SPJ13

Answer:

i think its B

Step-by-step explanation:

Two functions are,

⇒ f(x) = 3x and g(x) = x

Now, Let's take f(x) = 3x and g(x) = x as two functions.

1) To determine the domain and range of the composition of functions, f(g(x)), we must first evaluate g(x), after which we must insert the result into f(x).

Consequently, f(g(x)) = f(x) = 3x

and g(x) = x.

The collection of all x values found in the domain of g(x) is the domain of f(g(x)).

The domain of g(x) is all real numbers in this situation.

Hence, As a result, all real numbers are included in f(g(x))'s domain.

The set of all possible values for f(g(x)) is referred to as the function's range. Since the square of any real number is never negative, the range of f(g(x)) is also the range of non-negative real numbers.

2) The domain and range of the sum and difference of functions, f(x) + g(x) and f(x) - g(x), may be determined by examining the domain and range of each function independently.

The domains of f(x) and g(x) come together to form the domain of f(x) + g(x) and f(x) - g(x).

Both functions in this situation have as their domain all real numbers. Therefore, all real numbers are included in the domain of both f(x) + g(x) and f(x) - g(x).

f(x) and g(x) values determine the range of f(x) + g(x) and f(x) - g(x). All real numbers fall within f(x)'s range, and all non-negative real numbers fall within g(x)'s range. Consequently, all real numbers fall inside the range of f(x) + g(x).

3) Since division by zero is undefined, we must take into account g(x)'s zeros in order to determine the domain and range of the product and quotient of functions, f(x)*g(x) and f(x)/g(x).

The point where the domains of f(x) and g(x) cross is called the domain of f(x) g(x). The domain of f(x) g(x) is therefore limited to real integers alone.

All x values, except the zeros of g(x), are included in the domain of f(x)/g(x). G(x) has zeros when x = 0 since it equals x. All real values, excepting x = 0, are therefore included in the domain of f(x)/g(x).

Based on the values of f(x) and g(x), the range of f(x) g(x) and f(x) / g(x) is determined. F(x) has a real-only domain.

Learn more about the function visit:

https://brainly.com/question/11624077

#SPJ1

Step-by-step explanation:

well, 5×4 IS 20.

I am not sure, what your teacher wants here.

and therefore, as a fact, 9×2 = 18.

maybe it is to show the fraction relationship between the teens of the first operation and the terms of the second.

9 = 5×9/5

2 = 4×2/4

so, 9×2 = 9/5 × 2/4 × 20 = 18/20 × 20 = 18

I consider this nonsense, but it is the only thing I can currently think of to do with these operations in relation to each other.

Answer:

a) ¿Cuál es el sabor favorito de los niños?

Chocolate con 50%

b) ¿Cuál es el sabor que menos les gusta a los niños?

Fresa con 20%

c) ¿Qué número de niños representan el 15%, 35% y 50%?

Tenemos 10 hijos,

Por lo tanto

1) 15% = 1.5

2) 35% = 3.5

3) 50% = = 5

Step-by-step explanation:

Se encuestó a 10 niños sobre su preferencia por el sabor del pastel. Fresa 20%

Chocolate 50%

Vainilla 30%.

a) ¿Cuál es el sabor favorito de los niños?

El sabor favorito de los niños es el sabor con mayor porcentaje = Chocolate con 50%

b) ¿Cuál es el sabor que menos les gusta a los niños?

El sabor que menos les gusta a los niños es el sabor con el menor porcentaje = Fresa con 20%

c) ¿Qué número de niños representan el 15%, 35% y 50%?

Tenemos 10 hijos,

Por lo tanto

1) 15% = 15% × 10 = 1,5

2) 35% = 35% × 10 = 3,5

3) 50% = 50% × 10 = 5

The length of AC is approximately 10.85 cm.

To find the length of AC, we can use the Pythagorean theorem.

According to the Pythagorean theorem, in a right triangle where c is the hypotenuse (the side opposite the right angle) and a and b are the other two sides, the relationship between the lengths of the sides is:

c^2 = a^2 + b^2

In this case, we can use AB as one of the legs of the right triangle and BC as the other leg, with AC being the hypotenuse. So we have:

AC^2 = AB^2 + BC^2

AC^2 = (10.2 cm)^2 + (3.7 cm)^2

AC^2 = 104.04 cm^2 + 13.69 cm^2

AC^2 = 117.73 cm^2

To find the length of AC, we take the square root of both sides:

AC = sqrt(117.73 cm^2)

AC ≈ 10.85 cm

Therefore, the length of AC is approximately 10.85 cm.

Learn more about   length from

https://brainly.com/question/2217700

#SPJ11

Answer:

Jim: 30 Feet

Carla: 28 Feet

Step-by-step explanation:

If the function is f(x)=1/(6x+6) then the value of x cannot be equal to -1.

Given a function of x f(x)=1/(6x+6).

We are told to find out the value of the variable x for which the function does not lie.

Function is like a relationship between two or more variables expressed in equal to form. The values entered in a function is known as domain and the values which we get after entering of values are known as range.

f(x)=1/(6x+6)

It is in form of fraction. Fraction is a combination of numbers in which the above number is numerator and below number is denominator.

In this (6x+6) cannot be equal to 0 because if (6x+6) equal to 0 then the value of function becomes infinity.

So,

6x+6=0

6x=-6

x=-1

Hence if the function is f(x)=1/(6x+6) then the value of x cannot be equal to -1.

Learn more about function at https://brainly.com/question/10439235

#SPJ1

Answer:

a) 2.5^2+19\times2.5-16.75

Step-by-step explanation:

(2.5)² +(19× 2.5) - 16.75

= 6.25 + 47.5 - 16.75 = 37

Stephen makes the mistake in the expression as he uses the 4 in the root and the 3 in the power and the expression actually is: ∛(16)/e

We start with the expression:

exp( (4/3)*ln(2) - 1)

Here we can use that:

exp(ln(x)) = x.

and e^(a + b) = e^a*e^b.

the first step here is:

e^((4/3)*ln(2) - 1) = e^((4/3)*ln(2)*e^(-1)

So the first step of Stephen is correct, but the first step of Helen is not, you can not simplify the expression in that way.

now, we have that:

a*ln(x) = ln(x^a)

then we can write:

(4/3)*ln(2) = ln(2^(4/3))

and e^(ln(2^(4/3)) = 2^(4/3)

then we have:

e^((4/3)*ln(2)*e^(-1) = 2^(4/3)/e

now we can write this as:

∛(2^4)/e

Here is where Stephen makes the mistake, he uses the 4 in the root and the 3 in the power.

The expression actually is: ∛(16)/e

Learn more about expressions on:

https://brainly.com/question/723406

#SPJ1

Answer:

8.

The sides given relative to angle x is the adjacent and opposite side. We can find x by using a trig function.

When using the adjacent and opposite sides, we use tangent.

The tan. of an angle, in this case x, is the opposite side over the adjacent side.

tan x=6/15

x=arc tan 6/15≈22

9.

cos 33°

You can use a calculator for this

10.

Because sin and cos are cofunctions, you can get x by doing 90-35=55°

z=55°