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The probability of drawing both marbles as red is 1/35.

To obtain the probability of drawing two red marbles without replacement, we need to calculate the probability of drawing one red marble on the first draw, and then the probability of drawing a second red marble given that the first marble was red.

The probability of drawing a red marble on the first draw is given by:

P(Red on 1st draw) = (number of red marbles) / (total number of marbles)

                    = 3 / (4 + 6 + 3 + 2)

                    = 3 / 15

                    = 1/5

After the first red marble is drawn, there are now 2 red marbles remaining out of a total of 14 marbles.

The probability of drawing a second red marble given that the first marble was red is:

P(Red on 2nd draw | Red on 1st draw) = (number of red marbles remaining) / (total number of marbles remaining)

                                     = 2 / 14

                                     = 1/7

To find the probability of both marbles being red, we multiply the probabilities of each event:

P(Both marbles are red) = P(Red on 1st draw) * P(Red on 2nd draw | Red on 1st draw)

                       = (1/5) * (1/7)

                       = 1/35

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Answer:

a) 1224 in³

b) 3060 in³

Step-by-step explanation:

a) 15x12x17=3060, 3060/2.5=1224 cubic inches

b) 3060; 15x12x17

extra note:

Volume of rectangular prism formula:

V = l·w·h (length times width times height)

I assumed the jewelry in 2.5 cubic inches in volume so i hope its right

hope this helps  :)

Answer:

91 or 525

Step-by-step explanation:

Multiply the objects width (How long it is), times height. For the smaller object inside the bigger object, it is 91. For the bigger object, it is 525.

Answer:I believe D

Step-by-step explanation: Hope you get it right

Answer:

2300 represents the amount Michael initally depoisitedin his savings account.

Step-by-step explanation:

An expression is defined as a set of numbers, variables, and mathematical operations. The value 2,300 represented in the expression is representing the initial amount that was in the account.

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

Given that the expression [tex]2,300(1.002)^{12t}[/tex] represents the dollar amount in the account after t years. Therefore, the value 2,300 represented in the expression is representing the initial amount that was in the account.

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Answer:

x = 120 degrees or (c)

Step-by-step explanation:

It's 120 degrees...

...

Answer:

the probability that the sample mean would differ is 0.1164

Step-by-step explanation:

The computation of the probability is shown below

= 1 - P(Within 4.1 WPM)

= 1 - P( -4.1 ÷ 15÷ √3 <z < 4.1 ÷ 15÷ √3)

= 1 - P(-1.57 < z < 1.57)

= 1 - 0.8836

= 0.1164

Hence, the probability that the sample mean would differ is 0.1164

Therefore the same would be applied and relevant

1. The value of your account upon withdrawal on June 30, 2023, was $1,031.49.

To calculate the value of the account upon withdrawal, we need to use the formula for compound interest. The future value (FV) of the account is given by:

FV = P * (1 + r_1/n)^(n*t)

Where P is the principal amount ($1000), r_1 is the monthly interest rate, n is the number of compounding periods per year (12 for monthly), and t is the time in years (6 months = 0.5 years).

Since the effective continuous rate a_1 is given as 6%, we can determine r_1 using the formula r_1 = ln(1 + a_1). Substituting the value of a_1 = 6% into the equation, we find r_1 = ln(1 + 0.06).

Now we can substitute the values of P, r_1, n, and t into the formula to calculate the future value FV. Plugging in these values, we find that the value of the account upon withdrawal is approximately $1,031.49.

2. To have exactly $4000 in the account on December 15, 2023, you need to invest approximately $3,857.02 on July 1, 2023.

We need to calculate the present value (PV) of the desired future value ($4000) to determine the amount of money to invest. The present value formula is:

PV = FV / (1 + r_2)^n

Where FV is the desired future value, r_2 is the daily interest rate, and n is the number of compounding periods.

Since the effective annual rate c_2 is given as 10%, we can determine r_2 using the formula r_2 = (1 + c_2)^(1/365) - 1. Substituting the value of c_2 = 10% into the equation, we find r_2 = (1 + 0.1)^(1/365) - 1.

Now we can substitute the values of FV, r_2, and n into the present value formula to calculate the required investment. Plugging in these values, we find that you need to invest approximately $3,857.02 on July 1, 2023.

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Answer:

6/4 or 1 2/4

Step-by-step explanation:

hope this helps

Answer:

1.5

Step-by-step explanation:

3/4 ÷ 1/2

= 3/4 x 2

= 6/4

= 3/2

= 1.5

Answer:

By substituting the values of A, C, and D the equation modelling the function is;

g(x) = 3·sin(x - π/2) - 4

Step-by-step explanation:

From the given information, we have;

The vertical stretch of the sine function = 3 × The parent function

∴ A = 3

Given that the horizontal shift left = π/2 units, (from an online source with similar question)

The vertical shift down = 4 units

The given function, g is g(x) = A·sin(x + C) + D

Where;

A = The amplitude = The maximum displacement from the rest or equilibrium position = 3

C = The horizontal shift = -π/2 (The negative sign is for the shifting to the left)

D = The vertical shift = -4 (The negative sign is for a shift in the downward direction)

Therefore, the equation modelling the function is;

g(x) = 3·sin(x - π/2) - 4

Answer:

g(x) = 3·sin(x + π/2) - 4

Step-by-step explanation:

shifted left, it will be positive inside the parentheses

Answer:

Range = 3.3

Step-by-step explanation:

Range = Max value - Min value

Max value = 100.1

Min Value = 96.8

Range = 100.1 - 96.8

Range = 3.3

The solution to the equation is x = 69.

To solve the equation 345 = 5x for x, we can isolate the variable by dividing both sides of the equation by 5:

345/5 = 5x/5

69 = x

Therefore, the value of x = 69.

This means that if we substitute x with 69 in the equation 5x, we will obtain the left-hand side of the equation 345. The solution is accurate to the hundredth place, as there are no decimal places involved in this particular equation. It's important to note that the solution is a whole number, and in this case, it represents the value of x that satisfies the equation.

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Step-by-step explanation:

we all know that the teacher bought 25 tickets for the children and 5 for the adult children's tickets cost 4 shillings so we'll have to take 25 times for and adult tickets cost $6 so we'll have to take 5 * 6 will get 30 and 25 * 4 will get 100 total is equals to 130 so the teachers spent $130 buying the tickets hope this helps you.

The probability that it rains every day on a six-day vacation, given a 60% chance of rain each day, can be calculated by multiplying the individual probabilities. The probability of rain on any given day is 0.6, so the probability of rain every day is (0.6)^6 = 0.046656, rounded to 4 decimal places. Therefore, the probability of rain every day during the vacation is approximately 0.0467.

In the case of the job applicants, we are given that out of 419 applicants, 152 have over 10 years of experience and 63 have both over 10 years of experience and a graduate degree. To find the probability that a randomly chosen applicant has a graduate degree, given that they have over 10 years of experience, we need to calculate the conditional probability.

The conditional probability is determined by dividing the number of applicants with both over 10 years of experience and a graduate degree (63) by the total number of applicants with over 10 years of experience (152). Therefore, the probability is 63/152, which is approximately 0.4145, rounded to 4 decimal places. Thus, the probability that a randomly chosen applicant has a graduate degree, given that they have over 10 years of experience, is approximately 0.4145.

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Answer:

42.33+49.8

Step-by-step explanation:

add sides man i think

Answer:

Step-by-step explanation:

There are 28 relations on set A.

To determine the number of relations on set A, we need to understand the concept of a relation. A relation between two sets A and B is a set of ordered pairs (a, b) where a is from set A and b is from set B. In this case, both sets A and B are the same, so we are looking for relations within set A.

In a relation on set A, each element of A can be related to any other element of A, including itself. This means that for each pair of elements in set A, we have two possibilities: either they are related or they are not.

Since there are 8 distinct elements in set A, for each pair, we have two choices: either they are related or not related. Therefore, for each pair of elements, we have 2 possibilities.

Now, the total number of relations on set A can be calculated by multiplying the number of possibilities for each pair of elements. Since there are 8 distinct elements in set A, there are (8 choose 2) pairs of elements in total.

Using the binomial coefficient formula, (n choose k) = n! / (k!(n-k)!), we can calculate (8 choose 2):

(8 choose 2) = 8! / (2!(8-2)!)

            = (8 * 7) / (2 * 1)

            = 28

Therefore, there are 28 different relations on set A.

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To prepare the heparin infusion with a concentration of 40,000 units in 1,000 mL, 4 mL of the heparin solution should be injected into the D5W 1,000 mL bag, i.e., Option C and B are the correct answers.

Since the available heparin solution has a concentration of 10,000 units/mL and the desired concentration is 40,000 units in 1,000 mL, we need to determine the volume of the 10,000 units/mL solution to achieve this concentration.

By setting up a proportion, we can calculate the volume of the heparin solution needed:

10,000 units / 1 mL = 40,000 units / x mL

Cross-multiplying gives us:

10,000x = 40,000

Solving for x:

x = 40,000 / 10,000
x = 4 mL

Therefore, 4 mL of the heparin solution would be injected into the D5W 1,000 mL bag to prepare the heparin infusion.

For the second question, since each vial contains 2 mL and we need 4 mL, we would need to pull 2 vials from inventory to prepare the heparin infusion.

In conclusion, the answer to question 5 is A. 4 mL, and the answer to question 6 is B. 2.

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Answer:

The average (mean) weight for each dinner is 13.33 oz.

Step-by-step explanation:

mean = sum of all data points / total number of items in the set

mean = 40 / 3

mean = 13.33 oz

Answer:

There were 300 videos.

Step-by-step explanation:

Since there are 24 videos that got awards, and that's only 8% of the total videos, you put those together. We want the number of 100% of the videos. I would solve this by setting up a ratio and solving for [tex]x[/tex]. This is would look like:

[tex]\frac{24}{8} =\frac{x}{100}[/tex]  

In order to get to 100, you must multiply 8 by 12.5. Therefore, you can multiply 24 by 12.5 to complete the ratio. That would make the ratio look like:

[tex]\frac{24}{8} =\frac{300}{100}[/tex]

Therefore there are 100% of the videos in the contest is 300.

Answer:

3375 in³

Step-by-step explanation:

Volume of a cube = a³ ; where a = edge of the cube

Length of each face = edge of cube = 15 inches

Volume of cube = 15³

Volume of cube = 15 inch * 15 inch * 15 inch

Volume of cube = 3375 in³

Answer:

3a-2a+7-4

a+3

Step-by-step explanation:

like and unlike terms arranging

and add and subtraction

Answer: 3/4. fraction to decimal calculator to find what's an equivalent decimal for the fractional number 3/4.

0.75 is a decimal and 75/100 or 75% is the percentage for 3/4.

Step-by-step explanation:fraction simplification calculator to find what's a reduced or simplest form for 75/100 at its lowest terms. 3/4 is a simplified fraction for 75/100

The value of the x and y by the elimination method will be 2 and 1.

It is an equation system in which the maximum power of the variable is always 1. A figure with only one dimension and no breadth. It is made up of infinite dots placed side by side.

Given linear equation;

3x+ 4y= 10

2x- 2y = 2​

The following operations are done;

(3x+ 4y= 10) ×2

(2x- 2y = 2)​ × 3

6x+8y=20

6x-6y=6

Subtract equation 1 from 2 to eliminate x;

6x+8y-6x+6y=20-6

14y=14

y=1

The value of x is obtained by putting the value in equation 1;

3x+4(1)=10

3x=6

x=2

Hence, the value of the x and y by the elimination method will be 2 and 1.

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The given number 87392 is rounded off to 87390.

Rounding off means a number is made simpler by maintaining its overall value but being closer to the next number.

The number to be rounded off is 87392.

The digit present in the once place is 2.

If the smallest place digit is greater than or equal to 5, then round up the digit.

As the digit in the smallest digit is less than 5, the digit gets rounded down.

Here, the smallest place digit is 2 which is smaller than 5.

So, the given number rounded off to 87390.

Hence, the answer is 87390.

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Answer:

29 minutes

Step-by-step explanation:

Let

x = number of minutes

y = the height of the airplane above sea level in feet

y = 32,000 - 1000x

y = 3,000

Therefore,

y = 32,000 - 1000x

3,000 = 32,000 - 1000x

3,000 - 32,000 = -1000x

-29,000 = -1,000x

x = -29,000 / -1,000

x = 29 minutes

it will take 29 minutes for the airplane to land at an airport 3000 feet above sea level

Answer:

octagon  enneagon decagon hendeka

Step-by-step explanation:

Answer:

100

Step-by-step explanation:

an isosceles triangle is equal so if one side is 100 degrees, the other side is too

Answer:100 is the answer

Step-by-step explanation

Because the isoscles triangles are those whose two sides are equal

a. For this study, we should use the z-test.

b. The null and alternative hypotheses would be: Null hypothesis: H0: p = 0.55

Alternative hypothesis: H1: p ≠ 0.55

Explanation:

We use the z-test when we are testing the difference between the sample mean and the population mean. Here we are testing the difference between the sample proportion (p) and the population proportion (P).

We should use the z-test for this study to check whether the proportion of voters who prefer the Democratic candidate is significantly different from 55% at a level of significance of a = 0.05. This is because we are testing the proportion of people who prefer a Democratic candidate from a population. Here, we will use the sample size, sample proportion, and level of significance to calculate the test statistic (z) value.

The null hypothesis is H0: p = 0.55, which states that there is no difference between the proportion of voters who prefer the Democratic candidate and the population proportion.

While the alternative hypothesis is H1: p ≠ 0.55, which states that there is a significant difference between the proportion of voters who prefer the Democratic candidate and the population proportion.

a. For this study, we should use the z-test.

b. The null and alternative hypotheses would be: Null hypothesis: H0: p = 0.55

Alternative hypothesis: H1: p ≠ 0.55

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