Suppose that you have 10 green cards and 5 yellow cards. The cards are well shuffled. You randomly draw
two cards without replacement.
G = the first card drawn is green
G2 = the second card drawn is green
a. P(G, and G2) -
b. P(At least 1 green)
C. P(G2G) -
d. Are G, and G2 independent?
They are independent events
They are dependent events
09

Answer:10cm 5cm 7 Jim's lunch box is in the shape of a half cylinder on a rectangular box. To the nearest whole unit, what is a The total volume it contains? b The total area of the sheet metal in 10 in needed to manufacture it? This problem has been solved! You'll get a detailed solution from a subject matter expert that helps you learn core concepts

Step-by-step explanation:

Answer: 819,000

Step-by-step explanation:

182000×9=1638000÷2=819000

Lisa's friend must pay Lisa $819,000 to become her partner in the business, half the worth of Lisa's business today.

The worth of an object is the price of that object currently. The worth of almost every object in this world is variable (not fixed) with time and use.

In the question, we are said that ten years ago, Lisa bought a hair salon for $182,000. Her business is now worth nine times what she paid.

∴ Worth of the business 10 years ago = $182,000.

Worth of the business now = 9*$182,000 = $1,638,000

We have been informed that Lisa has decided to sell half of her business to a friend. We are asked to find the amount her friend needs to pay, to become her partner.

As we have been told, she is selling half of her business, her friend will need to pay half of her business' worth at the present date.

∴ Her friend pays the amount = 1/2 * worth of the business now

or, Her friend pays the amount = 1/2 * $1,638,000

or, Her friend pays the amount = $819,000.

∴ Lisa's friend must pay Lisa $819,000 to become her partner in the business, half the worth of Lisa's business today.

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Answer:

g(-3)=23

-9t-4=23

-9t=27

t=-3.

To verify this

input t=-3

You'd arrive at 23.

Answer:

Videos of If F(X)= (3X+X)/(X-3) What is F(A+2)

Step-by-step explanation:

Answer:

0 muffins and 8 cookies

6 muffins and 4 cookies

Explain:

These are the only two combinations of muffins and cookies that Jordan could have sold to earn $24. If Jordan sold 0 muffins and 8 cookies, they would have earned $24 because 0 x $3 + 8 x $2 = $24. If Jordan sold 6 muffins and 4 cookies, they would have earned $24 because 6 x $3 + 4 x $2 = $24.

Answer:

B

Step-by-step explanation:

Answer:

Step-by-step explanation:

To find the product of the given fractions in lowest terms, we can multiply the numerators and denominators together, and then simplify the resulting fraction:

(24/18) * (2/17) * (34/3)

First, we can simplify the fractions by reducing any common factors in the numerators and denominators:

24/18 = (212)/(29) = 12/9 = 4/3

2/17 = 2/17

34/3 = (2*17)/3 = 34/3

Now we can multiply the simplified fractions:

(4/3) * (2/17) * (34/3) = (4234)/(3173) = 272/153

The product of the given fractions in lowest terms is 272/153.

Answer:

sin of 52 radians = 0.98662759204

Step-by-step explanation:

Answer: 0.98

Step-by-step explanation:

Approximately 1, you shouldn't have to answer 0.988 etc on the test.

Answer:

Step-by-step explanation:

.40m + 80 = .80m + 20

-.40m + 80 = 20

-.40m = -60

m = 150 miles in a day

Answer:

Step-by-step explanation:

the dot would either (1,4) or (4,1)

a squared+ b squared= c squared

the length of the sides are 3

3 squared + 3 squared= c squared

9+9 =c squared

18= c squared

square root of 18 rounded to the nearest tenth is 4.2

Answer:

No real roots

Step-by-step explanation:

When graphed, doesn't cross the x-axis

Answer:

-The total area of a Rectangular Prism:

\(A = 366\) \(in^{2}\)

Step-by-step explanation:

-To find the total area of a rectangular prism, you need this formula:

\(A = 2(l \cdot w + l \cdot h + w \cdot h)\)

\(l =\) Length

\(w =\) Width

\(h =\) Height

-Apply the length, width and height for the formula:

\(A = 2(11 \cdot 8 + 11 \cdot 5 + 8 \cdot 5)\)

\(l =\) 11 in

\(w =\) 8 in

\(h =\) 5 in

-Then, solve for the area:

\(A = 2(11 \cdot 8 + 11 \cdot 5 + 8 \cdot 5)\)

\(A = 2(88 + 55 + 40)\)

\(A = 2(143 + 40)\)

\(A = 2 \times 183\)

\(A = 366\)

So, the total area would be \(366\) \(in ^{2}\).

Answer:

Step-by-step explanation:

step 1:

determining the values for standard form for the equation of a line,

y = mx + c

Step 2:

calculation of m, where m is the gradient or slope which determines how steep the line is.

step 3:

calculation of c, where c is the height at which the line crosses the y - axis also known as y - intercept

Answer:

  C. RP = 4.5

Step-by-step explanation:

You want to know what condition is sufficient to show ∆ABC ~ ∆QPR, given  three sides and 2 angles in ∆ABC, and 2 sides in ∆QPR.

Similarity can be shown if all three sides are proportional, or if two angles are congruent.

The offered answer choices only list one angle, so none of those will work. The answer choice that makes the third side of ∆QPR be in the same proportion as the corresponding side of ∆ABC is the condition of interest.

  C. RP = 4.5

__

Additional comment

The side ratios in the two triangles are ...

  AB : BC : CA = 10 : 9 : 6

  QP : PR : RQ = 5 : PR : 3

For these ratios to be the same, PR must be half of BC, just as the other segments in ∆QPR are half their counterparts in ∆ABC.

The applied overhead cost for job 201 is $36,000 and total cost for job 201 under direct materials cost as allocation base is $86,000.

Allocation base is a technique utilized in accounting to designate the cost of something to its use or product to recognize the price of the finished product.

Example provides the total overhead cost at $120,000 for the period, the base data of $100,000 direct material cost and 500 direct labor hours. The base data are used to calculate the predetermined factory overhead rate, which is used to apply overhead costs to work in progress.

The predetermined factory overhead rate is calculated by dividing the total overhead cost for the period by the base data. The predetermined factory overhead rate is multiplied by the actual activity in the allocation base to obtain the applied overhead cost.

Direct materials cost as allocation base $30,000 is the actual direct material cost used in job 201. The predetermined factory overhead rate is calculated by dividing the total overhead cost for the period by the direct material cost, which is $120,000/$100,000=120%.

The applied overhead cost for job 201 is $30,000*120% = $36,000.

Total cost for job 201 under direct materials cost as allocation base is $30,000+$20,000+$36,000 = $86,000.

-Direct labor cost as allocation base:

The actual direct labor cost used in job 201 is $20,000. The predetermined factory overhead rate is calculated by dividing the total overhead cost for the period by the direct labor cost, which is $120,000/$100,000=120%.

The applied overhead cost for job 201 is $20,000*120% = $24,000.

Total cost for job 201 under direct labor cost as allocation base is $30,000+$20,000+$24,000 = $74,000.

-Direct labor hours as allocation base:

The actual direct labor hours used in job 201 is 400 hours.

The predetermined factory overhead rate is calculated by dividing the total overhead cost for the period by the direct labor hours, which is $120,000/500 hours = $240 per hour.The applied overhead cost for job 201 is $240*400 hours = $96,000.

Total cost for job 201 under direct labor hours as allocation base is $30,000+$20,000+$96,000 = $146,000.

-Physical output as allocation base: The actual output in units completed for job 201 is 2,000 shirts.

The predetermined factory overhead rate is calculated by dividing the total overhead cost for the period by the output in units, which is $120,000/10,000 units = $12 per unit.

The applied overhead cost for job 201 is $12*2,000 units = $24,000.Total cost for job 201 under physical output as allocation base is $30,000+$20,000+$24,000 = $74,000.

-Machine hours as allocation base: The actual machine hours used in job 201 is 240 hours.

The predetermined factory overhead rate is calculated by dividing the total overhead cost for the period by the machine hours, which is $120,000/5,000 hours = $24 per hour.

The applied overhead cost for job 201 is $24*240 hours = $5,760.

Total cost for job 201 under machine hours as allocation base is $30,000+$20,000+$5,760 = $55,760.

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Answer:

C, F.

Step-by-step explanation:

All angle measures are preserved in a dilation. And if all angle measures are preserved, it makes the triangles similar by the AA similarity theorem.

Answer:

Step-by-step explanation:

First of all we need to convert 14.0 acres to m²

1.00 acre = 4046.86 m²

14.0 acres = 14 × 4046.86 = 56656.04 m²

Area of a circle = πr²

where

r is the radius

To find the radius substitute the value for the area into the above formula and solve for the radius

That's

\(56656.04 = \pi {r}^{2} \)

Divide both sides by π

We have

\( {r}^{2} = \frac{56656.04}{\pi} \)

Find the square root of both sides

\(r = \sqrt{ \frac{56656.04}{\pi} } \)

r = 134.29139

r = 134.29 m to 2 decimal places

Hope this helps you

Answer:

we have no way of knowing

Step-by-step explanation:

it could be a jedi mind trick.

Answer: The usual dose for an 18-month-old weighing 21 pounds is 48 mg of ibuprofen.

Step-by-step explanation: To find the usual dose of ibuprofen for a child, we need to follow these steps:

Therefore, the usual dose for an 18-month-old weighing 21 pounds is 48 mg of ibuprofen. Hope this helps, and have a great day! =)

The distance between points AB at A(2, 5) and B(2, 10) is 5 units

An equation is an expression that shows the relationship between two or more numbers and variables.

The distance between two points A(x₁, y₁) and B(x₂, y₂) on the coordinate plane is:

\(AB=\sqrt{(y_2-y_1)^2+(x_2-x_1)^2}\)

Let us assume that AB has coordinate at A(2, 5) and B(2, 10), hence:

\(AB=\sqrt{(10-5)^2+(2-2)^2}=5\ units\)

The distance between points AB at A(2, 5) and B(2, 10) is 5 units

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Answer:

BODMAS (Bracket Of Division Multiplication and Addition)

Step-by-step explanation:

\(5÷(4−3)3−2−2\)

\(5 \div (4 - 3)3 - 2 - 2 \\ bracket \: fjrst \\ 5 \div (1)3 - 2 - 2 \\ \:second \: bracket \\ 5 \div 3 - 2 - 2 \\ division \: next \\ 5 \div 3\)

bro I just stopped half way, cause my calculator says Syntax error. Maybe re check the question

Answer:

range=14

mode=9

median =9

mean =12

Step-by-step explanation:

range is B-S=20-6

mode is most common

median put in order find middle value 6,9,9,9,9,11,13,16,18,20

mean is add all divide by how many 9+9+9+9+6+11+13+16=120/10

If i get one wrong i am sorry

Answer:

y= -1/2x + -1

Step-by-step explanation:

The solution is: The angle of elevation is 62.03°  degrees.

Here, we have,

given that,

A surveyor stands 200ft from a building and looks up to the top of the building. Her eyes are 426ft away from the top.

Let O be the point where the Surveyor is standing.

B be the point of the base of building.

T be the point of top of building.

As per question statement,

Side OB = 200 ft

Side OT = 426ft

To find:

∠ O = x° ?

Using cosine trigonometric identity:

cos O = base/hypotenuse

so, we get,

cos O = BO/OT

          = 200/426

          = 0.469

so, we have,

∠ O = 62.03°

So, The solution is: The angle of elevation is 62.03°  degrees.

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Answer:

\(\large\boxed{41.14 inches^2(2 d.p)}\)

\(\large\boxed{41.1inches^2 (1 d.p)}\)

Step-by-step explanation:

Important Information:

Area of a circle= \(\pi r^2\)

Area of a triangle= \(\frac{base*height}{2}\)

Diameter of a cirlce= \(2*radius\)

Method:

The first step is to divide the shape into smaller shapes. In this case, we have a right -angled triangle and a semi-circle.

The next step is to work out the area of the triangle. Since we know the radius of the semi-circle is 3 inches, to work out the diameter we would simply multiply the radius of 3 by 2, this gives us 6 inches. This is because the radius is half of the diameter.

Now that we know the diameter of the semi-cirlce, we can begin to work out the area of the triangle. We can do this by first multiplying the base of 6 inches by the height of 9 inches, this gives us 54 inches squared. This however gives us the area of 2 of those triangles. To work out the area of that triangle, we would need to divide the value of 54 by 2, this gives us 27 inches squared.

The next step is to work out the area of the semi-circle. We can do this by multiplying pi by the radius of 3, squared, this gives us 28.27 inches squared (2 d.p). However, this is for a full circle and we need to work out the area of the semi-circle. We can do this by dividing the area of the circle, which is 28.27, by 2, this gives us 14.14 inches squared (2 d.p). This is because a semi-cirlce is half of a circle.

The final step is to add the Areas of the two shapes together. You can do this by adding the area of the triangle, which is 27 inches squared, to the area of the semi circle, which is 14.14 inches squared (2 d.p), this gives us 41.14 inches squared (2 d.p).

Step by Step:

1) Multiply 3 by 2.

\(3*2=6\)

2) Multiply 6 by 9.

\(6*9=54 inches^2\)

3) Divide 54 by 2.

\(54/2=27inches^2\)

4) Multiply pi by 3 squared.

\(\pi*3^2=28.27 inches^2 (2 d.p)\)

5) Divide 28.27 by 2.

\(28.27/2=14.14inches^2 (2 d.p)\)

6) Add 27 to 14.14.

\(27+14.14=41.14inches^2 (2 d.p)\)

Answer:

\(L(x)=4-x\)

\(L(3.9)=0.1\\L(3.99)=0.01\)

Step-by-step explanation:

The linear approximating polynomial is: \(L(x) = f(a) + f'(a)(x - a)\)

Given: \(f(x) = 4 - x\) at a=0

f(0)=4-0=4

f'(x)=-1, Therefore: f'(a)=-1

Therefore, the linear approximation of f(x) at a=0 is:

\(L(x) = f(0) + f'(a)(x - 0)\\L(x)=4-x\)

We then use our result to approximate 3.9 and 3.99.

\(L(3.9)=4-3.9=0.1\\L(3.99)=4-3.99=0.01\)

The approximate 1-year percent change is 16.14%.

Using this formula

Percent change=One year earlier closed amount-Closed amount/ Closed amount×100

Let plug in the formula

Percent change= $14,298-$12,311 /$12,311 ×100

Percent change=$1,987/$12,311 ×100

Percent change=16.14%

Inconclusion the approximate 1-year percent change is 16.14%.

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The correct answer is Confidence interval lower bound: 32.52 cm,Confidence interval upper bound: 37.48 cm

To calculate the confidence interval for the true mean height of the loaves, we can use the t-distribution. Given that the sample size is small (n = 10) and the population standard deviation is unknown, the t-distribution is appropriate for constructing the confidence interval.

The formula for a confidence interval for the population mean (μ) is:

Confidence Interval = sample mean ± (t-critical value) * (sample standard deviation / sqrt(sample size))

For the first situation:

n = 15

Confidence level is 95% (which corresponds to an alpha level of 0.05)

x = 35 (sample mean)

s = 2.7 (sample standard deviation)

Using RStudio or a t-table, we can find the t-critical value. The degrees of freedom for this scenario is (n - 1) = (15 - 1) = 14.

The t-critical value at a 95% confidence level with 14 degrees of freedom is approximately 2.145.

Plugging the values into the formula:

Confidence Interval = 35 ± (2.145) * (2.7 / sqrt(15))

Calculating the confidence interval:

Lower Bound = 35 - (2.145) * (2.7 / sqrt(15)) ≈ 32.52 (rounded to 2 decimal places)

Upper Bound = 35 + (2.145) * (2.7 / sqrt(15)) ≈ 37.48 (rounded to 2 decimal places)

Therefore, the lower bound of the confidence interval is approximately 32.52 cm, and the upper bound is approximately 37.48 cm.

For the second situation:

n = 37

Confidence level is 99% (which corresponds to an alpha level of 0.01)

x = 82 (sample mean)

s = 5.9 (sample standard deviation)

The degrees of freedom for this scenario is (n - 1) = (37 - 1) = 36.

The t-critical value at a 99% confidence level with 36 degrees of freedom is approximately 2.711.

Plugging the values into the formula:

Confidence Interval = 82 ± (2.711) * (5.9 / sqrt(37))

Calculating the confidence interval:

Lower Bound = 82 - (2.711) * (5.9 / sqrt(37)) ≈ 78.20 (rounded to 2 decimal places)

Upper Bound = 82 + (2.711) * (5.9 / sqrt(37)) ≈ 85.80 (rounded to 2 decimal places)

Therefore, the lower bound of the confidence interval is approximately 78.20 cm, and the upper bound is approximately 85.80 cm.

For the third situation:

n = 1009

Confidence level is 90% (which corresponds to an alpha level of 0.10)

x = 0.9 (sample mean)

s = 0.04 (sample standard deviation)

The degrees of freedom for this scenario is (n - 1) = (1009 - 1) = 1008.

The t-critical value at a 90% confidence level with 1008 degrees of freedom is approximately 1.645.

Plugging the values into the formula:

Confidence Interval = 0.9 ± (1.645) * (0.04 / sqrt(1009))

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Answer:

the answers are below

Step-by-step explanation:

1. the populaton of ths study are the college students that are beng tested on the effect of alcohol on their emotions. college students are the main focus of this experiment.

2. The sample for this study is the 120 students from the University. the sample of a study is actually the number of participants in that study. this queston says that they are 120

3. the null hyothesis:

 h₀ : alcohol has no effect on college students emotions

4. the alternate hypothesis:

 h₁: there is effect of alcohol on college students emotions

5. The researcher would have to use a t test which is an inferential statistical test. A t test is used to test for the existence of statistical difference between two means that may have similar features

Answer:

%33.33

Step-by-step explanation:

start by converting the 1.5 lbs into oz. 16 oz go into one pound.

since .5 is equivalent to one half, divide 16 in two to get 8 and then add 8 to 16.

You should get that 1.5 lbs = 24 oz

now divide 24 by 8

24/8 = 3

this shows that 8 goes into 24 three times. If three eights go into 24, then three ones go into 3. You can use this information to make a simplified fraction which is easy to convert over to a percent.

1/3

an last but not least, convert it to a percent

1/3 = %33.33

i hope this helped! i'm bad at explaining things so sorry if it's hard to understand lol

The percentage is calculated by dividing the required value by the total value and multiplying it by 100.

Required percentage value = a

total value = b

Percentage = a/b x 100

If A = 8 oz and B = 1.5 lb

A is 33.33% of B

The percentage is calculated by dividing the required value by the total value and multiplying it by 100.

Required percentage value = a

total value = b

Percentage = a/b x 100

Example:

50% = 50/100 = 1/2

25% = 25/100 = 1/4

20% = 20/100 = 1/5

10% = 10/100 = 1/10

We have,

A = 8 oz

B = 1.5 lb

We know that,

1 lb = 16 oz

So,

A = 8 oz

B = 1.5 x 16 oz

B = 24 oz

Now,

Finding the percentage of A.

= 8/24 x 100

= 800/24

= 33.33%

Thus,

If A = 8 oz and B = 1.5 lb

A is 33.33% of B

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