In a class of 25 students, 15 are female and 16 have an A in the class. There are 12 students who are female and have an A in the class. What is the probability that a student has an A given that the student is female?

Answer:

(-9,-18)

Step-by-step explanation:

-7x +5(2x)=-27

-7x+10x=-27

3x=-27

[tex]\frac{3x}{3}[/tex]=[tex]\frac{-27 x}{3}[/tex]

x= -9

y=2(-9)

y=-18

Answer:

here we can talk if you want

Step-by-step explanation:

Squares have equal lengths on all sides, so we already know that 46 ft applies to the entire square.

46 x 46 = 2116

We then subtract this from 3846, so

3846 square feet - 2116 square feet = 1730

The annual interest rate before compounding will be 7.0404%.

What is compound interest ?

Compound interest is the type of interest that is calculated using both the principal and the interest that has accumulated over the preceding period.

Given that Bank D pays 7.289% annual yield on an investment account in which interest is compound weekly.

We know that there are 52 weeks in 1 normal year.

The annual interest rate before compounding can be calculated using the formula of compound interest.

Compound interest = Amount - Principal

And Amount is given by the formula ;

Amount = P × [tex](1 +R)^n[/tex]

where ; R is in %.

Let's assume P = $1.

So , the compound interest will be equal to

CI =  P × [tex](1 +R)^n[/tex] - P

CI + P = P × [tex](1 +R)^n[/tex]

CI + 1 = 1 × [tex](1 + R)^n[/tex]

As the investment account is compound weekly, so the annual interest rate will be divide by 52 or it will be R / 52.

1 + (7.289/100) = 1 + (R/52)^52

0.07289 = (R/52)^52

Solving this we will get ;

R = 0.0704035593

or

R = 7.0404%

Therefore , the annual interest rate before compounding will be 7.0404%.

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Answer:

Th best thing would be 35% off or the blue coupon

Step-by-step explanation:

Well we can solve the orange coupon first which would be 540.37 for the final price

the blue coupon is 35 percent off or we can just multiply 815.37 by 0.65 becuase since its “off” you would only have to pay 65 percent of the item which is why I’m multiplying by 0.65. You would end up with something like 529 something which is less than 540.37

The blue coupon would be best

Also why not use both of them?

Isolate the variable by dividing each side by factors that don't contain the variable.

b = −4

Answer:

B= -4

Step-by-step explanation:

Answer:

Yes

Step-by-step explanation:

yes because if she keeps her money then,

Answer: The smartest option for Isabel in her case would be to keep the Traditional 401 (k), this is because she ends up with 50 more dollars rather than losing money with the Roth 401 (k). This is only true if her assumptions and calculations are accurate. With her saying that she believes that she will not be in a higher tax bracket, and she wants the most take home money possible then I would recommend she stays with the Traditional 401 (k).

Step-by-step explanation:

With a traditional 401 (k) although you don't have to pay taxes up front, you still need to pay taxes on any capital gains/when you take that money out you will then have to pay some taxes. Although this is the case if you are in a higher tax bracket when you take that money out you will have to be paying at that higher tax bracket. With a Roth 401(k) you pay those taxes up front, but all those capital gains you may recieve over time you end up not having to pay taxes on ANY of it. So if you are in a higher tax bracket and get more of those gains over time from being in that bracket then it would be the smartest option to go with the Roth 401(k). Now this would be smart to go with a Roth 401(k) if you are young and just starting out because you can advance through future opportunies, but in Isabel's case this is different. She says that she believes that her tax bracket won't change and if she wants to have the most take home money possible then in her case it would be the smartest option to go with the traditional 401 (k) because she will be taking home 50 more bucks according to her calculations.

Answer: x=9

Step-by-step explanation: -9x+1=-80

subtract 1 on both sides

-9x=-81

divide both sides with negative 9

x=9

Check: -9(9)+1=-80

-81+1=-80

-80=-80

Answer:

the answer is X=9

Step-by-step explanation:

hope it helps:)

The expression which could not be used to calculate the total cost of book purchased by 27 students will be 7(20)+7(7) and 7(30)-7(7)  which is option (a) and (b) .

We have given the cost of the book $7 .

Total cost = Cost per book × Total number of students

                 = 7 × 27

                 =  189

(a) 7(20)+7(7) = 140 - 49

                     = 91

On simplifying the expression , we get 91 which is not equal to the total cost 189 . Hence , this expression does not represent the total cost.

(b) 7(30)-7(7) = 210 - 29

                     = 181

On simplifying the expression , we get 181 which is not equal to the total cost 189 . Hence , this expression does not represent the total cost.

(c) 7(30)-7(3) = 210 -21

                     = 189

On simplifying the expression , we get 189 which is equal to the total cost 189 . Hence , this expression represent the total cost.

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Answer:

There will be 25 grams left after 2 days.

Step-by-step explanation:

Half-life describes the amount of time it takes for a cell to turn from one condition to another.

To find the amount of grams for the second day, divide 100 by 2.

100 ÷ 2 = 50

Now, to find the amount of grams for the third day, we need to divide 50 by 2.

50 ÷ 2 = 25

Therefore, there will be 25 grams left after 2 days.

Hope this helps! :D

Answer:-1 and 3

Step-by-step explanation:

Took it on edge :)

The required solution of the given equation is (3, -1) which is the correct option (C).

The quadratic function is defined as a function containing the highest power of a variable is two.

The equation is below represented by the system shown here.

2x² - 3x - 2 = x + 4

Rearrange the terms of variables and constants in the above equation

2x² - 3x - 2 - x - 4 = 0

Apply the arithmetic operation in the likewise terms,

2x² - 4x - 6 = 0

2x² - 6x + 2x - 6 = 0

2x(x - 3) + 2(x - 3) = 0

(x - 3)(2x + 2) = 0

(x - 3) = 0 and (2x + 2) = 0

x = 3 and 2x = - 2

x = 3 and x = - 1

Therefore, the required solution of the given equation is (3, -1).

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Answer:

We conclude that:

Step-by-step explanation:

Descartes Rule states that if the terms of a single-variable polynomial with real coefficients are ordered by descending variable exponent, then the number of positive roots of the polynomial is:

Given the function

[tex]f\left(x\right)=x^4-2x^3-4x^2+2x+3[/tex]

So, the coefficients are 1, −2, −4, 2, 3

As can be seen, there are 2 changes.

This means that there are 2 or 0 positive real roots.

To find the number of negative real roots, substitute x with -x in the given polynomial:

[tex]x^4-2x^3-4x^2+2x+3[/tex]  becomes [tex]x^4+2x^3-4x^2-2x+3[/tex]

The coefficients are 1, 2, −4, −2, 3

As can be seen, there are 2 changes.

This means that there are 2 or 0 negative real roots.

Therefore, we conclude that:

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

−31x+51+7=4

(−31x)+(51+7)=4(Combine Like Terms)

−31x+58=4

−31x+58=4

Step 2: Subtract 58 from both sides.

−31x+58−58=4−58

−31x=−54

Step 3: Divide both sides by -31.

−31x / −31 = −54 / −31

x = 54 / 31

Answer: 77 dollars

Step-by-step explanation:

6 sheets  = 33 dollars

14 sheets = {(33/6)*14} = 77 dollars

Answer:

12. CPCTC

13. OPTION B

Answer: x+y = -1

Step-by-step explanation: standard form is Ax+Bx=C. In this case, x and y’s coefficient is 1, so you don’t have to put anything in front of x and y. An when you bring -8 to the other side, it become positive 8, and -9+8=-1. hope this helps

Answer:

$201.60

Step-by-step explanation:

1/5 of 168 is 33.6, So I added the $33.6 to 168 and got $201.60.

First, we observe that

[tex]4x-x^2 = x(4-x) = 0 \implies x=0 \text{ or } x = 4[/tex]

and

[tex]4x-x^2 = 4-(x-2)^2 \le 4[/tex]

so that [tex]R[/tex] is in the first quadrant. Any line [tex]y=mx[/tex] that slices this region into two pieces must then have a slope between [tex]m=0[/tex] and [tex]m=4[/tex] (which is the slope of the tangent line to the curve through the origin).

The parabola and line meet at the origin, and again when

[tex]4x - x^2 = mx \\\\ ~~~~ \implies x^2 + (m-4)x = x (x + m - 4) = 0 \\\\ ~~~~\implies x = 4-m[/tex]

with [tex]4x-x^2\ge mx[/tex] for [tex]0\le x\le4-m[/tex].

Now, the total area of [tex]R[/tex] is

[tex]\displaystyle \int_0^4 (4x-x^2) \, dx = \left(2x^2 - \frac{x^3}3\right)\bigg|_0^4 = \frac{32}3[/tex]

so that half the area is 16/3.

The area of the left piece (containing the origin) is

[tex]\displaystyle \int_0^{4-m} ((4x-x^2) - mx) \, dx = \left(\frac{4-m}2 x^2- \frac{x^3}3\right)\bigg|_0^{4-m} = \frac{(4-m)^3}6[/tex]

Solve for [tex]m[/tex].

[tex]\dfrac{(4-m)^3}6 = \dfrac{16}3[/tex]

[tex](4-m)^3 = 32[/tex]

[tex]4 - m = \sqrt[3]{32} = 2\sqrt[3]{4}[/tex]

[tex]\boxed{m = 4 - 2\sqrt[3]{4} \approx 0.825}[/tex]

Answer:

a. [tex]y = -(x+1)^2+4[/tex]

b. [tex]y = \frac{1}{2} (x-2)^2-3[/tex]

Step-by-step explanation:

a. Vertex is (-1, 4)

so you get

[tex]y = a(x+1)^2+4[/tex]

plug in (1, 0) and get the a value

[tex]0 = a(1+1)^2+4\\0 = a*2^2 + 4\\0 = 4a + 4\\-4 = 4a\\a = -1[/tex]

final eq:

[tex]y = -(x+1)^2+4[/tex]

b. Vertex is (2, -3)

so you get

[tex]y = a(x-2)^2-3[/tex]

plug in (0, -1) and get the a value

[tex]-1 = a(0-2)^2-3\\-1 = a*(-2)^2 -3\\-1 = 4a -3\\2 = 4a\\a = \frac{1}{2}[/tex]

final eq:

[tex]y = \frac{1}{2} (x-2)^2-3[/tex]

Answer:

(12, 487)

Step-by-step explanation:

y = 3.7x + 442 ----› Eqn. 1

y = 14.4x + 312 ----› Eqn. 2

Substitute y = (3.7x + 442) into eqn. 2.

y = 14.4x + 312 ----› Eqn. 2

3.7x + 442 = 14.4x + 312

Collect like terms

3.7x - 14.4x = -442 + 312

-10.7x = -130

Divide both sides by -10.7

x = 12.1495327

Substitute x = 12.1495327 into eqn. 1.

y = 3.7x + 442 ----› Eqn. 1

y = 3.7(12.1495327) + 442

y = 486.953271

The solution to the system is rounded to the nearest integer:

(12, 487)

Answer:

1/20

Step-by-step explanation:

3 states start with the letter c. This means that there is a 3/50 probability of getting a state starting with c.

There are 5/6 sides of a die that is at most 5. That is a 5/6 probability.

Multiplying this together, we get:

3/50 x 5/6 =

15/300=

1/20

Answer:

200/2.5=80

your answer would be B: 80 km/h

[tex] {\bf \red {\huge{answer : }}}[/tex]

The money increased from 600 pounds to 621 pounds.

621 - 600 = 21

so , the money increased more 21 pounds.

[tex] \pink {\sf{hence , \frac{21}{621} \times 100 }}[/tex]

[tex] \red{= \frac{21}{\cancel{621}} \times \cancel{100 } }[/tex]

[tex] \red{= \frac{21}{\cancel{6.21}} \times \cancel{1 } }[/tex]

[tex] \red{= \frac{\cancel{21}}{\cancel{6.21}} }[/tex]

[tex] \red{= \frac{3 \frac{79}{207} }{1} }[/tex]

[tex] \red{= 3 \frac{79}{207} }[/tex]

Therefore , the dog's weight increased by 3 79/207%

A) First day = x blocks

Second day = x + 2 blocks

Third day = x + 4 blocks

Fourth day = x + 4 blocks

Fifth day = x + 4 blocks

B) All possible values that Makaila could walk on the first day to reach her goal are; x ≥ 11.2

C) The fewest number of blocks she could walk on this day and still meet her goal is; 70 blocks

A) We are told that the first day, she walks x blocks

Thus;

Second day = x + 2 blocks

Third day = x + 4 blocks

Fourth day = x + 4 blocks

Fifth day = x + 4 blocks

B) Total blocks = x + x + 2 + x + 4 + x + 4 = 5x + 14

Makaila would like to walk at least 70 blocks over the next five days. Thus, the equation is;

5x + 14 ≥ 70

Subtract 14 from both sides of this equation to get:

5x ≥ 56

Divide both sides of this equation by 5 to get:

x ≥ 11.2

C) She must walk greater than or equal to 11.2 blocks the first day to reach her goal.

assume she walks exactly 11.2 blocks the first day.

then her total walking based on the formula would be:

first day 11.2

second day 13.2

third day 15.2

fourth day 15.2

fifth day 15.2

total walked is 11.2 + 13.2 + (3 * 15.2)

this equals 24.4 + 45.6 which equals 70.0

Any number of blocks over 11.2 on the first day will result in a total greater than 70 blocks.

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Answer:

0.47864506627

Step-by-step explanation:

Answer:

A. Z = 2 + N13

Step-by-step explanation:

Let's solve your equation step-by-step.

0=z2+4z−9

Step 1: Subtract z^2+4z-9 from both sides.

0−(z2+4z−9)=z2+4z−9−(z2+4z−9)

−z2−4z+9=0

For this equation: a=-1, b=-4, c=9

−1z2+−4z+9=0

Step 2: Use quadratic formula with a=-1, b=-4, c=9.

z=

−b±√b2−4ac

2a

z=

−(−4)±√(−4)2−4(−1)(9)

2(−1)

z=

4±√52

−2

z=−2−√13 or z=−2+√13

Some data in the question are missing. The complete question is :

The health center of a small, private university requires students to have appointments for visits. Each appointment takes an average of 5.6 minutes with a standard deviation of 3.5 minutes. The health center makes 100 appointments each day and is scheduled to be open for 10 hours. What is the probability that the total time spent for 100 students who have appointments for tomorrow will exceed 10 hours? (Hint: 10 hours=600 minutes.) Carry your intermediate computations to at least four decimal places. Report your result to at least three decimal places.

Solution :

Let the time spent by [tex]$i^{th} $[/tex] students for the appointment be = [tex]$X_i$[/tex]

∴ E([tex]$X_i$[/tex]) = 5.6

   V([tex]$X_i$[/tex]) = [tex]$3.5^2$[/tex]

n = 100

The required probability

[tex]$P\left( \sum_{i=1} ^{100} X_i \leq 600 \right)$[/tex]

Now, [tex]$E\left( \sum_{i=1} ^{100} X_i \right) = 100 \times E (X_i) $[/tex]

                            = 100 x 5.6

                            = 560

[tex]$V\left( \sum_{i=1} ^{100} X_i \right) = (100)^2 \times (3.5)^2 $[/tex]

Standard deviation = 3.5 x 100

                                = 35

[tex]$P\left( \sum_{i=1} ^{100} X_i \leq 600 \right)$[/tex]

[tex]$\Rightarrow P\left( \frac{\sum_{i=1}^{100} X_i -560} {35} \leq \frac{600-560}{35}\right)$[/tex]

[tex]$= \phi (1.14286)$[/tex]

= 0.8735

= 0.874  (round to 3 decimal places)

Jim is correct. Jim new mean wage of these workers will be more than £415

The average pay received by workers for doing the same job over a specific time period is known as the mean wage. We can calculate the mean salary by adding up all the salaries paid to workers in a particular industry or occupation, then dividing the result by the total number of workers. The average or mean is equal to (a+b+c)/3.

According to the given value;

Mean wage

= [(320 X10 ) + (370 x 13 ) + ( 420x8 ) + (4 70 *7 )+ ( 520 x 2 )]/40

= (3200+ 4810 + 3360 + 3290+ 1040)/40

=£392.5

. : New mean wage

= £ 392.5 x 104/100+10

= £418.2 > £415

Hence, Jim is correct .

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