a)
4x -1
=X+7
2
b) 3x +2=
2x +13
3
+
I
+

Answer:

im pretty sure its 67, sorry if I'm wrong

Answer:

0.8015 = 80.15% probability that the student has the flu

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which

P(B|A) is the probability of event B happening, given that A happened.

[tex]P(A \cap B)[/tex] is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Has high temperature.

Event B: Has the flu

Probability of a student having high temperatures:

90% of 35%(have the flu)

12% of 100 - 35 = 65%(do not have the flu). So

[tex]P(A) = 0.9*0.35 + 0.12*0.65 = 0.393[/tex]

Probability of having high temperatures and the fly?

90% of 35%, so

[tex]P(A \cap B) = 0.9*0.35 = 0.315[/tex]

If a student has a high temperature, what is the probability that the student has the flu?

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.315}{0.393} = 0.8015[/tex]

0.8015 = 80.15% probability that the student has the flu

G. A. B. O

By probability in the chart, it goes from most to least that is grapes, apples, bananas and oranges

Answer:

(the relation you wrote is not correct, there may be something missing, so I will simplify the initial expression)

Here we have the equation:

[tex]sin^4(x) + cos^4(x)[/tex]

We can rewrite this as:

[tex](sin^2(x))^2 + (cos^2(x))^2[/tex]

Now we can add and subtract cos^2(x)*sin^2(x) to get:

[tex](sin^2(x))^2 + (cos^2(x))^2 + 2*cos^2(x)*sin^2(x) - 2*cos^2(x)*sin^2(x)[/tex]

We can complete squares to get:

[tex](cos^2(x) + sin^2(x))^2 - 2*cos(x)^2*sin(x)^2[/tex]

and we know that:

cos^2(x) + sin^2(x) = 1

then:

[tex]1 - 2*sin(x)^2*cos(x)^2[/tex]

This is the closest expression to what you wrote.

We also know that:

sin(x)*cos(x) = (1/2)*sin(2*x)

If we replace that, we get:

[tex]1 - \frac{sin^2(2*x)}{2}[/tex]

Then the simplification is:

[tex]cos^4(x) + sin^4(x) = 1 - \frac{sin^2(2*x)}{2}[/tex]

Answer:

i think its b

Step-by-step explanation:

Answer:

quatrolatiral, square, rectangle

Answer:

486

Step-by-step explanation:

The solid is a cube. The faces of a cube are 6 congruent squares.

side = 9 ft

surface area = 6 * side²

SA = 6 * (9 ft)²

SA = 486 ft²

Answer:

Step-by-step explanation:

45% = 45/100 = 0.45

100% is $40

Answer:

solution given;

let total be X

45% of X=$18

X=$18×100/45=$40

So.100% is $40.

Answer:

12.4

Step-by-step explanation:

Answer:

3÷1/6

Step-by-step explanation:

here is your answer. If it helps don't forget to like and Mark me

Answer:

36

Step-by-step explanation:

A (base) 6

B (Base) 12

H (height) 4

Answer:

From the table, Riley is moving forward on the interval [0,1.5].

I takes Riley 6 seconds to swing forward, back, and then return to her starting position.

Riley reaches a maximum distance of 38.9 inches from her starting position.

Step-by-step explanation:

PLATO/Edmentum

The blanks in the given statements can be filled as [0,1.5], 3 seconds, and 55 inches, respectively.

Mathematical tables are collections of numbers that display the outcomes of calculations made using various inputs.

Given that in the table the position of Riley with respect to time. Also, If her position is ahead of its initial position it is positive, while if she is behind her initial position it is negative.

Now as per the table, the statements can be completed as,

Hence, the blanks in the given statements can be filled as [0,1.5], 3 seconds, and 55 inches, respectively.

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Given:

Principal = $14000

Rate of interest = 10% compounded semiannually.

Time = 11 years.

To find:

The accumulated value of the given investment.

Solution:

Formula for amount or accumulated value after compound interest is:

[tex]A=P\left(1+\dfrac{r}{n}\right)^{nt}[/tex]

Where, P is the principal values, r is the rate of interest in decimal, n is the number of times interest compounded in an year and t is the number of years.

Compounded semiannually means interest compounded 2 times in an years.

Putting [tex]P=14000,r=0.10,n=2,t=11[/tex] in the above formula, we get

[tex]A=14000\left(1+\dfrac{0.10}{2}\right)^{2(11)}[/tex]

[tex]A=14000\left(1+0.05\right)^{22}[/tex]

[tex]A=14000\left(1.05\right)^{22}[/tex]

[tex]A\approx 40953.65[/tex]

Therefore, the accumulated value of the given investment is $40953.65.

Answer:

A = $41,867.06

A = P + I where

P (principal) = $14,000.00

I (interest) = $27,867.06

Step-by-step explanation:

Given: Investment = $14,000 Annual Rate: 10% compounded semiannually = 11 year

To find: The accumulated value of an investment

Formula: [tex]A = P(1 + \frac{r}{n}) ^n^t[/tex]

Solution: First, convert R as a percent to r as a decimal

r = R/100

r = 10/100

r = 0.1 rate per year,

Then solve the equation for A

A = P(1 + r/n)nt

A = 14,000.00(1 + 0.1/12)(12)(11)

A = 14,000.00(1 + 0.008333333)(132)

A = $41,867.06

Henceforth:

The total amount accrued, principal plus interest, with compound interest on a principal of $14,000.00 at a rate of 10% per year compounded 12 times per year over 11 years is $41,867.06.

Answer: rational number

Step-by-step explanation:

Mixed numbers are all rational numbers because they can be expressed as a fraction. To be a rational number, a number must be able to be written

Volume of a cone = pi x r^2 x h/3

Volume = pi x 4^2 x 6/3

Volume = 32pi cubic inches ( in.^3)

Answer:

4.09

Step-by-step explanation:

Hope it helps. That is the answer

The partial product of 3.4 x 1.2 is (3 + 0.4) x (1 + 0.2).

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

3.4 x 1.2

3.4 is equal to 3 + 0.4.

1.2 is equal to 1 + 0.2.

Now,

(3 + 0.4) x (1 + 0.2)

= 3 + 0.6 + 0.4 + 0.08

= 3 + 1 + 0.08

= 4 + 0.08

= 4.08

Thus,

3.4 x 1.2 is equal to (3 + 0.4) x (1 + 0.2).

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Answer:

a) The exponential function is [tex]A(t) = 10083(1.068)^t[/tex]

b)

The balance after 1 year is of $10,768.644

The balance after 2 years is of $11,500.91

The balance after 5 years is of $14,010.25.

The balance after 10 years is of $19,467.15

c)

The doubling time is of 10.54 years.

Step-by-step explanation:

Continuously compounded interest:

The amount of money earning after t years, with interest compounded continuously, is given by:

[tex]A(t) = A(0)(1+r)^t[/tex]

In which A(0) is the amount of the initial investment and r is the growth rate, as a decimal.

a) Find the exponential function that describes the amount in the account after time t, in years.

Suppose that $10,083 is invested at an interest rate of 6.8% per year

This means, respectively, that [tex]A(0) = 10083, r = 0.068[/tex]

So

[tex]A(t) = A(0)(1+r)^t[/tex]

[tex]A(t) = 10083(1+0.068)^t[/tex]

[tex]A(t) = 10083(1.068)^t[/tex]

b) What is the balance after 1 year? 2 years? 5 years? 10 years?

After 1 year:

[tex]A(1) = 10083(1.068)^{1} = 10,768.644[/tex]

The balance after 1 year is of $10,768.644

After 2 years:

[tex]A(2) = 10083(1.068)^{2} = 11,500.91[/tex]

The balance after 2 years is of $11,500.91.

After 5 years:

[tex]A(5) = 10083(1.068)^{5} = 14,010.25[/tex]

The balance after 5 years is of $14,010.25.

After 10 years:

[tex]A(10) = 10083(1.068)^{10} = 19,467.15[/tex]

The balance after 10 years is of $19,467.15.

c) What is the doubling time?

This is t for which [tex]A(t) = 2A(0)[/tex]. So

[tex]A(t) = A(0)(1.068)^t[/tex]

[tex](1.068)^t = 2[/tex]

[tex]\log{(1.068)^t} = \log{2}[/tex]

[tex]t\log{1.068} = \log{2}[/tex]

[tex]t = \frac{\log{2}}{\log{1.068}}[/tex]

[tex]t = 10.54[/tex]

The doubling time is of 10.54 years.

Answer:

12 days

Step-by-step explanation:

3/8=.375

16.5 divided by 1.375 equals to 12. I hope that helps.

Answer:

y=-x+1

Step-by-step explanation:

Slope intercept form is writing the equation of a line in the form y=mx+c, where m is slope and c is the y-intercept.

The y-intercept, c, is the value of y when the line crosses the y-axis. We can read from the graph that this value is 1. So, c=1

The slope, m, can be found by taking two points from the graph, (x,y) and (X,Y), and using the formula m=(Y-y)/(X-x). Two point on our line in this example are (0,1) and (-1,2):

m=(2-1)/(-1-0)=-1/1

m= -1

Knowing these values, we can write y=mx+c for our equation: y=-x+1

Answer:

to me it's a simple solution

Step-by-step explanation:

Answer:

x represents nickels = 2

3x represents number of quarters = 6

Step-by-step explanation:

x represents nickels

3x represents number of quarters

We'll multiply each of those times the value of the coin they represent, and make that equal to the total amount of money Mark has to get the value of x

x(0.05) + 3x(0.25) = 1.60

0.05x + 0.75x = 1.60

0.80x = 1.60

x = 2 = number of nickels

So 3x = 6 = number of quarters

Checking the math:

2(0.05) + 6(0.25)= 0.10 + 1.50 = 1.60

Answer:

equation ?

Step-by-step explanation:

where is the equation

Answer:

Step-by-step explanation:

hello :

here is an solution

Answer:

15 m E. B. C. D. that's why I will be there

Answer:

The expected value of X is $0.0833.

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

For each dice, there are 6 possible outcomes(values from 1 to 6). So for 2 dices, there are [tex]6^2 = 36[/tex] desired outcomes.

Desired outcomes:

Sum 5: (1,4), (2,3), (3,2), (4,1).

Sum 6: (1,5),(2,4),(3,3),(4,2),(5,1)

Sum of 9: (3,6), (4,5), (5,4), (6,3)

Sum of 10: (4,6), (5,5), (6,4)

Sum of 12: (6,6)

Probabilities:

5 + 3 = 8 outcomes in which the sum is 6 or 10, that is, 8/36 probability of winning $4.

4 + 4 + 1 = 9 outcomes in which the 5, 9, or 12, that is, 9/36 probability of winning $1.

36 - (8 + 9) = 36 - 17 = 19 remaining outcomes, that is, 19/36 probability of losing $2.

What is the expected value of X?

Multiplication of each outcome by its probability. So

[tex]E(X) = \frac{8}{36}*4 + \frac{9}{36}*1 - \frac{19}{36}*2 = \frac{8*4 + 9*1 - 19*2}{36} = \frac{32 + 9 - 38}{36} = \frac{3}{36} = 0.0833[/tex]

The expected value of X is $0.0833.

Answer:

Each person received 1/5 of a pizza. There were 5 people in total. How much pizza was there originally before the split?

Compound interest is the interest generated on a sum of money invested. The amount of money that you will have in your account after 25 years is  $122,653

Compound interest is the interest generated on a sum of money invested. The formula for calculating compound interest is expressed as:
A = P(1+r/n)^nt

Given the following parameters

Principal P = $3600 (a year)
rate r = 0.03
Time  t = 25 years

n  = 12 (time of compounding)

Substitute

A = 3600(1 + 0.03/12)^12(25)
A = 3600 (1.0025)^300
A = 3600(2.1150)
A = $122,653

Hence the amount of money that you will have in your account after 25 years is  $122,653

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Answer:

C) 4

Step-by-step explanation:

1 + x/2 = 3

x/2 = 2

x = 4

The value of x is 4.

Start with 4. Half of 4 is 2. Add 1. You get 3. 4 makes the problem work, so 4 is the answer.

Answer: C) 4