A teacher randomly chooses a two-person leadership team from a group of four qualified students. Three of the
students, Sandra, Marta, and Jane, are girls. The fourth student, Franklin, is a boy.
Using the sample space of possible outcomes listed below, where each student is represented by the first letter
of his or her name, answer each of the following questions.
What is P(A), the probability that the first student is a girl?
What is P(B), the probability that the second student is a girl?
What is P(A and B), the probability that the first student is a girl and the second student is a girl?

Answer:nine thousand six hundred and three

Step-by-step explanation:

Answer:

nine thousand six hundred and three

Step-by-step explanation:

Answer:

-10 is the answer

Step-by-step explanation:

[tex]xy + 2y \\ putting \: the \: value \: of \: x \: and \: y \\ 3 \times ( - 2) + 2 \times ( -2 ) \\ - 6 - 4 \\ = - 10[/tex]

Answer:

1.7.

Step-by-step explanation:

2x^3 + 9x^2 - 2x + 8 = 40

Substituting values for x in the range 1 to 2:

when x = (1.1):

f(1.1) = 2(1.1)^3 + 9(1.1)^2 - 2(1.1) + 8 = 19.32.

x = 1.3:

f(1.3) = 25.004

F(1.5) = 32

F(1.6) = 36.032

F(1.7) = 40.436   which is just greater than 40.

So the root is between 1.6 and 1.7.

f(1.65) = 38.19

Therefore the root is > 1.65 and < 1.7

and to  1 DP it is 1.7.

The conversion rate will affect her budget as C. Kari has almost exactly enough left in her budget to see Genoa.

From the information given, it should be noted that a trip to Genoa will cost her €60.85.

This will be converted to dollars which will be:

= 60.85/0.6859

= 88.72

Therefore, out of the $585 budget, only $88.72 is used.

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Answer:

Step-by-step explanation:

The algebraic identity to be used here :

We know that :

Therefore,

The zeros are :

Answer:

[tex]x=-\dfrac{9}{10} \quad x=\dfrac{9}{10}[/tex]

Step-by-step explanation:

[tex]\begin{aligned}100x^2-81 & =(10^2)x^2-9^2\\ & = (10x)^2-9^2\end{aligned}[/tex]

[tex]\textsf{Difference of Two Squares Formula}: \quad a^2-b^2=\left(a+b\right)\left(a-b\right)[/tex]

[tex]\implies a=10x \: \textsf{ and } \: b=9[/tex]

[tex]\implies 100x^2-81=(10x+9)(10x-9)[/tex]

[tex]\begin{aligned}\textsf{To find the zeros}: \quad 100x^2-81 & = 0\\\\\implies (10x+9)(10x-9) & =0\\\implies 10x+9 & =0 \implies x=-\dfrac{9}{10}\\\implies 10x-9 & =0 \implies x=\dfrac{9}{10}\end{aligned}[/tex]

Answer: Total cost/month = 7 + 3x

Step-by-step explanation:

This is only the total cost per month that is why it is only 7 and 3x since the number of downloaded games is not given.

I'm not sure about my answer but I hope that it helps.

Answer:

9000 in³

Step-by-step explanation:

Small cube:

Volume = length x width x height

= 10 x 10 x 10 = 1000 in³

Big cube:

width (front) = 20

length (side) = 10 + 10 = 20

height (back) = 10 + 10 = 20

V = 20 x 20 x 20 = 8000 in³

Total volume: 1000 + 8000 = 9000 in³

Answer: 10:58 a.m.

Step-by-step explanation:

To solve this problem, find how many hours will pass in the given timeframe. From this Monday to next Monday, a week will pass. A week is equal to 7 days. A day has 24 hours, so multiply 7 days by 24 hours. 7*24 = 168 hours.

Since the watch gains 10 seconds every hour, multiply 168 hours by 10 seconds. This means your watch will gain 1680 seconds over the week.

To find what time the watch will be at, first find how many minutes will pass. There are 60 seconds in a minute, so divide 1680 seconds by 60 seconds. 1680/60 = 28.

Add 28 minutes to 10:30 a.m. to get a final time of 10:58 a.m.

The minimum amount of cloth carl needs to cover the entire box will be 188 square inches.

The space occupied by any two-dimensional figure in a plane is called the area. The area of the outer surface of any object is called the surface area.

Given that:-

The minimum amount of cloth carl needs to cover the entire box will be the surface area of the prism

Surface area = 2 [ (5 x 2)+ (12 x 5) + (12 x 2)]  

Surface area= 188 square inches

Therefore the minimum amount of cloth carl needs to cover the entire box will be 188 square inches.

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[tex]\text{Given that,}~ p(x) = x^2 +3 ~ \text{and}~ h(x) = \sqrt{x-3} \\\\(p \circ h)(x)\\\\=p(h(x))\\\\=p\left(\sqrt{x-3}\right)\\\\=\left(\sqrt{x-3} \right)^2 +3\\\\=x-3 +3\\\\=x[/tex]

The value of s to the nearest whole number is 14. The correct option is the last option 14

From the question, we are to determine the value of s

Using the laws of cosines

a² = b² + c² -2bc Cos A

Then,

s² = 8² + 9² -2(8)(9) cos111°

s² = 64 + 81 - 144 cos111°

s² = 145 - (-51.605)

s² = 145 + 51.605

s² = √196.605

s = 14.0216

s ≅ 14

Hence, the value of s to the nearest whole number is 14. The correct option is the last option 14

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Answer:

increasing from -2 to +∞

Step-by-step explanation:

The graph starts at -2 and continues to the right which means it increases from -2.

Answer:

Increasing from -2 to positive infinity.

Step-by-step explanation: This is because this is the graph of the square root of x + 2. It will increase from -2 in the x range and eventually hit every single x value from -2 to positive infinity.

Answer:

306=192-361xj.

Hope this helps!

Answer:

[tex]f(x)=-2\cos(2x)+1[/tex]

Step-by-step explanation:

Recall the general cosine equation

Identify amplitude

[tex]\text{Amplitude}=\frac{\text{Max-Min}}{2}=\frac{3-(-1)}{2}=\frac{4}{2}=2[/tex]

Identify period and solve for b

[tex]\frac{3\pi}{2}-\frac{\pi}{2}=\pi\\ \\\frac{2\pi}{|b|}=\pi\\ \\2\pi=b\pi\\\\2=b[/tex]

Identify midline

[tex]y=d=1[/tex]

Final Equation

[tex]f(x)=-2\cos(2x)+1[/tex]

Also, the reason why [tex]a=-2[/tex] is because a cosine function starts at its maximum, but since it starts at its minimum, the value of [tex]a[/tex] must be negative and causes the wave to flip about the midline.

Answer:

H and M

or

K and F

Step-by-step explanation:

Complementary angles = 90 degrees

Corners of a rectangle are 90 degrees

Pick the two angles that make up the 90 degree angle

The biconditional statement that is not true from the given option is "a triangle is equilateral if and only if it has three sides.

A biconditional statement is one of the logical statements that contain the words "if and only if."

A biconditional statement is true for p ⇔ q provided that both p and q have an exact truth value, and it is false if otherwise.

The biconditional statement that is not true from the given option is "a triangle is equilateral if and only if it has three sides.  For a triangle to be equilateral, it is supposed to have three equal angles and three equal sides.

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Answer:

A quadrilateral is rectangle if and only if it has at least two right angles

Step-by-step explanation:

IMAGINE mATH!

Answer:

answers

Step-by-step explanation:

125000 Submit Answer.

Answer:

12763

Step-by-step explanation:

Based on the given conditions, formulate: 

10000 x ( 5%+1)⁵

Evaluate the equation/expression: 12762.81563

Find the closest integer: 12763

He makes a profit in total of $8381

The store makes a profit of $29 per sweater.

Here, we have to calculate the profit per sweater, we need to find the difference between the selling price and the cost price (purchase price) of each sweater.

Given:

Number of sweaters bought = 17

Cost of buying 17 sweaters = $68

Selling price of 17 sweaters = $561

Profit per sweater = Selling price per sweater - Cost price per sweater

First, calculate the cost price per sweater:

Cost price per sweater = Total cost / Number of sweaters

Cost price per sweater = $68 / 17

Cost price per sweater = $4.

Now, calculate the profit per sweater:

Profit per sweater = Selling price per sweater - Cost price per sweater

Profit per sweater = $561 / 17 - $4

Profit per sweater = $33 - $4

Profit per sweater = $29.

The store makes a profit of $29 per sweater.

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Answer:

Step-by-step explanation:

Solve The equation 1/4t-6=-4

1/4t - 6 = -4

1/4t = 2

t = 2 * 4

t = 8

-------------------

check

1/4 * 8 - 6 = -4

2 - 6 = -4

-4 = -4

the answer is good

Answer:

Question 22 is

[tex]x - 3[/tex]

Question 23 is

[tex]1.67 \times {10}^{ - 21} g[/tex]

Answer: [tex]3x(2x^{3} + 5x + 8)[/tex]

Step-by-step explanation:

[tex]6x^{4} + 15x^{2} + 24x[/tex]

↓

[tex]3x(2x^{3} + 5x + 8)[/tex]

The factored expression is 3x(2x³ + 5x + 8).

To factor the expression 6x⁴ + 15x² + 24x using the greatest common factor (GCF), we first need to identify the common terms or factors that can be factored out from each term.

Step 1: Find the GCF of the coefficients (numbers).

The GCF of 6, 15, and 24 is 3.

Step 2: Find the GCF of the variables (x terms).

The GCF of x⁴, x², and x is x.

Step 3: Combine the GCF of the coefficients and variables.

The GCF of the entire expression is 3x.

Now, factor out 3x from each term:

3x * (2x³ + 5x + 8)

The factored expression is 3x(2x³ + 5x + 8).

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Let x = 0.263263263…

Then 1000x = 263.263263263…

Subtracting x gives

1000x - x = 263.263263263… - 0.263263263…

999x = 263

x = 263/999

Answer:

m + (m+4) + (m-2) = 20 or 3m + 2 = 20

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

In a slope-intercept equation, the format goes like this:

M = Slope

B = Y-intercept

In the equation, y = 6/9x + 3:

The slope is 6/9

The y-intercept is 3.

So what the question means by "cross the y-axis" is when the line on the graph is going through the y-intercept point.

Because the y-intercept is 3, the ordered pair would look like this:

(0, 3)

Note: The y-intercept is when the x-intercept has a value of 0 and the y-intercept is only on the y-axis, never the x-axis.

Therefore, the answer would be Option A. (0, 3)

Answer:

[tex]69500[/tex]

Step-by-step explanation:

[tex] \frac{695000}{1} \times \frac{10}{100} \\ \\ = 69500[/tex]

Answer:

  184.25 kg

Step-by-step explanation:

25% more is found by adding 25% of the original value to the original value. It is equivalent to multiplying the original value by (1 +25%) = 1.25.

__

25% of Roberto's yield is ...

  147.4 kg × 0.25 = 36.85 kg

If Roberto's yield increases by that amount, it will be ...

  147.4 kg + 36.85 kg = 184.25 kg

Roberto should expect a yield of 184.25 kg.

Answer:

184.25

Step-by-step explanation:

Based on the lengths of the given triangles and the length of segment BD, the length of segment AD is 22.20.

The triangle ABC is a right angled triangle with segment AB being the hypothenuse.

We can therefore find this length using the Pythagoras Rule:

Hypothenuse ² = a² + b²

Hypothenuse ² = 28.6² + 23.2²

Hypothenuse ² = 1,356.20

Hypothenuse = √1,356.20

= 36.83

Length of AD:
= AB - BD

= 36.83 - 14.60

= 22.2

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Answer:

27

Step-by-step explanation:

Let x = ten's digit

Let y = units' digit

Given: the units of a two-digit numeral means

that our final answer will be a 2 digit number (xy)

Given: 5 more than the tens digit  means

y is 5 more than x (y = x + 5)

Given: the number is three times the sum of its digits.

xy is 3 times x + y

A two digit positive integer can be written as 10x + y, where x is the tens digit and y is the ones digit

y = x + 5 and 10x + y = 3(x + y)

x - y = -5

7x - 2y = 0

Multiply the first equation by -2:

-2x + 2y = 10

7x - 2y = 0

Add the equations to get 5x = 10

So, x = 2 and y = x + 5 = 7

Reminder:

Let x = ten's digit

Let y = units' digit

The number is 27

Answer:

[tex]\frac{1}{2}[/tex]

Step-by-step explanation:

P(odd number)= [tex]\frac{3}{6}[/tex]

                        =[tex]\frac{1}{2}[/tex]