You have two chances to draw from a normal pack of 52 playing cards. What is the probability of drawing an ace on the second attempt if the first card (which you did NOT put back in the pack) was not an ace

Answer:

It should be about 0.1 cups of strawberries to every muffin

Step-by-step explanation:

Answer:

x³/y⁵

Simplify the expression.

Answer:

128lbs

Step-by-step explanation:

60% of 120lbs+40% of 140lbs

72+56

128

Given :

• The radius of the pool is 9feet 8 inches.

• Recall that 1 feet = 12 inches

• for radius = 12.67 feet

Answer:

Step-by-step explanation:

If 11 flights were sampled with an 85% on-time arrival rate, the number of flights from the sample that arrived on time would be estimated to be 9.35, which would round to 9 flights.

This can be solved by:

(0.85x11)= 9.35

Since there can't be .35 of a flight, we would round to the nearest whole number, which would just be 9.

The final answer= 9 flights

The value of q is 0.35.

The value of p is 0.16.

The value of r is 0.27.

The value of P(A given NOT B) is approximately 0.4211.

To calculate the values of p, q, and r, we can use the information provided in the Venn diagram and the probabilities of events A and B.

Given:

P(A) = 0.43

P(B) = 0.62

P(A∩B) = 0.27

Calculating the value of p:

The value of p represents the probability of event A occurring without event B. In the Venn diagram, p corresponds to the region inside A but outside B.

We can calculate p by subtracting the probability of the intersection of A and B from the probability of A:

p = P(A) - P(A∩B)

= 0.43 - 0.27

= 0.16

Therefore, the value of p is 0.16.

Calculating the value of q:

The value of q represents the probability of event B occurring without event A. In the Venn diagram, q corresponds to the region inside B but outside A.

We can calculate q by subtracting the probability of the intersection of A and B from the probability of B:

q = P(B) - P(A∩B)

= 0.62 - 0.27

= 0.35

Therefore, the value of q is 0.35.

Calculating the value of r:

The value of r represents the probability of both event A and event B occurring. In the Venn diagram, r corresponds to the intersection of A and B.

We are given that P(A∩B) = 0.27, so the value of r is 0.27.

Therefore, the value of r is 0.27.

Finding the value of P(A given NOT B):

P(A given NOT B) represents the probability of event A occurring given that event B does not occur. In other words, it represents the probability of A happening when B is not happening.

To calculate this, we need to find the probability of A without B and divide it by the probability of NOT B.

P(A given NOT B) = P(A∩(NOT B)) / P(NOT B)

We can calculate the value of P(A given NOT B) using the provided probabilities:

P(A given NOT B) = P(A) - P(A∩B) / (1 - P(B))

= 0.43 - 0.27 / (1 - 0.62)

= 0.16 / 0.38

≈ 0.4211

Therefore, the value of P(A given NOT B) is approximately 0.4211.

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Answer:

The exact Value: x=0

The function operation: 4xsquared = x = x =

2 x = x =

Step-By-Step:

Answer:

D: y= 4x^2

y= x^3+2x

Step-by-step explanation:

let me know if right or wrong

For the z score of 0.9713, means that the statistic is 0.9713 standard deviation to the right of the mean of the bell curve.

A score's connection to the mean within a group given scores is statistically measured by a Z-Score.

For the stated question;

For the  z score of 1.9, the probability occurs is 0.9713.

Thus, this statistic is 0.9713 standard deviations to the right of the bell curve's mean when the z-score is 0.9713.

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The answer choice which belongs in the green box and is the longest side of the triangle as required is; 11.06.

It follows from the task content that since the sum of angles in a triangle is; 180°, the missing angle measure is; 180 - 51 - 109° = 20°.

Consequently, it follows from the sine law that;

4 / sin 20° = x / sin 109°

x = 4 sin 109° / sin 20°

x = 11.06.

Ultimately, the number that belongs in the green box is; 11.06.

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You launch an object off a 55-foot cliff. If the object was launched at 85 feet/second,  64.23 feet/second long it will take for the object to hit the ground below. This can be solved using the concept of law of conservation of energy.

Three fundamental quantities all maintain their original values. Energy, momentum, and angular momentum are these. Energy is a conserved quantity, which could surprise you if you've read instances in previous pages, such the kinetic energy of charging elephants. The first law of thermodynamics, generally known as the law of conservation of energy, stipulates that the energy of a closed system must remain constant and cannot rise or fall on its own without external intervention.

Given that,

Height of the cliff, h= 55 Foot

Initial speed of the projectile, u = 85 m/s

Let, the projectile hit the ground with velocity "v"

Applying the law of conservation of energy,

mgh + 1/2 mu² = 1/2 mv²

or, m (gh + 1/2 u²) = 1/2 mv²

or, (gh + 1/2 u²) = 1/2 v²

or, 10 × 55 + (1/2 × (55)²) = 1/2 v²

or, 550 + 1512.5 = 1/2 v²

or, 2062.5 = 1/2 v²

or, 4125 = v²

or, v = 64.23 feet/second

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Every three candy bars cost a dollar.

Divide 25 by three.  

$8.33

Answer:

9

Step-by-step explanation:

\(AB+BC=AC \\ \\ 3+AB=12 \\ \\ AB=9\)

Answer:

4500*1.05^(365*6) = 1.1422929e+50

A fraction "of" another fraction "of" another fraction, and so on, means the product of those fractions.

So, to find "5/8 of 2/3 of 3/10 of 27" we need to solve:

Now, we can rearrange the order of the numerators in order to simplify the fractions before calculating the products:

Therefore, this is the same as 1/8 of 27, which is 3.375.

AS per the concept of Compound interest,

(a), The amount owed at the end of 1 year is $8,400

(b) The amount owed at the end of 2 year is $ 9,408

Compound interest:

The general formula to calculate the compound interest is

A = P(1 + r/n)ⁿˣ

where

A represents Accrued amount (principal + interest)

P represents Principal amount

r represents Annual nominal interest rate as a decimal

n represents number of compounding periods per unit of time

x = time

Given,

Suppose Charmaine borrows $7500 at an interest rate of 12% compounded each year. Assume that no payments are made on the loan.

Here we need to find the following,

a)the amount owed at the end of 1 year.

b) the amount owed at the end of 2 year.

From the given details we know that the value of

Principal amount = $7,500

Interest rate = 12%

Part a) the amount owed at the end of 1 year is calculated as,

Here we have to convert R as a percent to r as a decimal

r = R/100

r = 12/100

r = 0.12 rate per year,

Then solve the equation for A

A = 7,500.00(1 + 0.12/1)(1)(1)

A = 7,500.00(1 + 0.12)(1)

A = $8,400.00

Therefore, the amount owed at the end of 1 year is $8,400.

Part b) The amount owed at the end of 2 year is calculated as,

In this one the value of principal amount interest rate are same but the value of year only differs as 2,

So, the amount is

=>A = 7,500.00(1 + 0.12/1)(1)(2)

=> A = 7,500.00(1 + 0.12)(2)

=> A = $9,408.00

Therefore, the amount owed at the end of 2 years is $9,408.

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Answer:

The mean of the sample distribution of the sample mean is the same as the population mean, which is 40 dollars. The standard deviation of the sample distribution of the sample mean (also called the standard error) is given by:

standard error = standard deviation / sqrt(sample size) = 8 / sqrt(49) = 8 / 7

To find the probability that the sample mean would be less than 37.4 dollars, we need to standardize the sample mean using the standard error and then look up the probability from a standard normal distribution table. The z-score for a sample mean of 37.4 dollars is:

z = (37.4 - 40) / (8 / 7) = -1.225

Looking up this z-score in a standard normal distribution table, we find that the probability of getting a sample mean less than 37.4 dollars is 0.1103 (rounded to four decimal places). Therefore, the probability that the sample mean would be less than 37.4 dollars is 0.1103.

give thanks, your welcome <3

Step-by-step explanation:

Answer:

(0, 4)

Step-by-step explanation:

The y-intercept is defined as the point where the line intersects the y-axis. All we need to do is find where the line intersects the y-axis.

(0, 4) is the answer.

Answer:

c=1

Step-by-step explanation:

c is 1 becaus 9+1 is already equal to 10 and 9*1+1=10

c=1 is the value of equation 9c+1=10

Two or more expressions with an Equal sign is called as Equation.

The given equation is 9c+1=10

Nine times of c plus one equal to ten.

9c+1=10

We have subtract one from both sides

9c+1-1=10-1

9c=9

Divide both sides by 9

c=1

Hence c=1 is the value of equation 9c+1=10

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ANSWER:

$6

ExPLANATION:

Step 1:

36.75 × 4 = 147

Step 2:

51 × 3 = 153

Step 3:

153 - 147 = 6

The group of 12 students will save $6 by visiting the science center instead of the Zoo.

Science center fee :

Zoo Fee :

The difference in the total amount spent :

Therefore, the group will save $6 by visiting the science center.

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Answer:

1/ $12 for each ticket

2/ $84 for 7 tickets

Step-by-step explanation:

We know

Layla paid $48 for 4 movie tickets

How much does each ticket cost?

48 / 4 = $12 for each ticket

So, each ticket cost $12

How much would it cost her to purchase 7 tickets?

12 x 7 = $84

So, it cost her $84 to purchase 7 tickets.

Answer:

-64

Step-by-step explanation:

Answer:

$45.34

hope this helps

Answer:

$20.79

Step-by-step explanation:

0.82(6) = 4.92

15.87 + 4.92 = 20.79

Step-by-step explanation:

n! = n × n−2 × n−3 × ... × 2 × 1

(n+1)! = n+1 × n × n−2 × n−3 × ... × 2 × 1

(n+1)! = (n+1) n!

Therefore:

lim(n→∞) (n! / (n+1)!)

lim(n→∞) (n! / ((n+1) n!))

lim(n→∞) (1 / (n+1))

0

Answer:

n! = n × n−2 × n−3 × ... × 2 × 1

(n+1)! = n+1 × n × n−2 × n−3 × ... × 2 × 1

(n+1)! = (n+1) n!

Step-by-step explanation:

The area of the forest after 13 years is  1990.08 \(km^2\).

What is exponential decay?

The term "exponential decay" in mathematics refers to the process of a constant percentage rate reduction in an amount over time. It can be written as y=a(1-b\()^x\), where x is the amount of time that has passed, an is the initial amount, b is the decay factor, and y is the final amount.

Here initial area a = 3500\(km^2\) ,

Rate of decay = 4.25%= 4.25/100 = 0.0425

Now using exponential decay formula then,

=> \(y=a(1-b)^x\) where x=13 years .

=> y = \(3500(1-0.0425)^{13}\)

=> y = \(3500(0.9575)^{13}\)

=> y = 1990.08 \(km^2\)

Hence the area of the forest after 13 years is  1990.08 \(km^2\).

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Answer:

2

Step-by-step explanation:

1+1=2

According to the Empirical Rule, 99.7% of the measures fall within 3 standard deviations of the mean in the normal distribution.

The Empirical Rule states that, for a normally distributed random variable, the symmetric distribution of scores is presented as follows:

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The equation of a line that passes through points (2,5) and (4,3) is

y = -x+7.

Finding the equation of a line:

First, we need to find out the slope for the given points.

(X1,Y1) = (2,5)

(X2,Y2) = (4,3)

formula for slope(m) = \(\frac{Y2 - Y1}{X2 - X1}\)

substitute the points in the above formula

\(\frac{3 - 5}{4 - 2}\) = \(\frac{-2}{2}\)

\(\frac{-2}{2}\) = -1

slope for the given points(m) = -1.

m = -1

The equation of a line is y-y1 = m(x-x1), where x and y are variables.

substituting the values in the above equation then :

y-5 = -1(x-2)

y-5 = -x+2

y+x = 2+5

x+y = 7

y = -x+7

Therefore, the equation of the line passing through the points (2,5) and (4,3) is y = -x+7

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