A die is rolled. Find the probability of the given event. (a) The number showing is a 2; The probability is : (b) The number showing is an even number; The probability is : (c) The number showing is greater than 4; The probability is :

The fraction of the 30 cakes does Simon have left with os 7/10

A fraction is a part of a whole number, and a way to split up a number into equal parts.

Given that, Simon makes 30 cakes, he gives 1/5 of the cakes to Sali, he gives 10% of the 30 cakes to Jane,

We need to find, what fraction of the 30 cakes does Simon have left,

Number of cakes given to Sali = 1/5 of 30

= 30 / 5 = 6

That mean, Sali got 6 cakes out of 30.

Number of cakes given to Jane = 10% of 30

= 30 × 10/100

= 300 / 100

= 3

That mean, Jane got 3 cakes, out of 30.

The remaining number of cake = 30 - (6+3)

= 30 - 9

= 21

Therefore, the fraction of cakes left = 21 / 30

= 7/10

Hence, the fraction of the 30 cakes does Simon have left with os 7/10

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Answer:

Step-by-step explanation:

2.9 X 19^9

Answer: not sure

Step-by-step explanation:

But i thing its the 3rd one :P

The length of the shortest piece is 5, and the longest piece is 13 feet by solving the equations.

The length of the shortest piece is 5, and the longest piece is 13 feet.

the solution is as follows,

Greg has a piece of rope that is 18 ft long.

He wants to cut it into two pieces so that the longer piece is 2 ft less than three times the length of the.

Let the length of the shorter piece be x.

And the length of the longer piece is 3x -2.

Greg has a piece of rope that is 18 ft long.

Then,

longest piece+ shorter piece = 18

x + 3x -2 = 18

4x - 2 =18

4x = 18+2

4x = 20

x= 20/4

x = 5.

Therefore,

The length of the shorter piece is x =5.

And the length of the longer piece = 3x -2 = 3(5)-2 = 15-2 = 13

Hence, the length of the shortest piece is 5, and the longest piece is 13 feet.

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Answer:

\(x = 5 \\ x = 5 - 5 \\ x = 0 \\ end \: loop \\ x = 0\)

Interest be I

If interest is daily

If interest is monthly (30days)

Answer:

$ 1.20

Step-by-step explanation:

\(\sf Time = 10 \ days = \dfrac{10}{365}=\dfrac{2}{73}\)

\(Interest = Principal * time *rate\\\\\\=470*\dfrac{2}{73}*\dfrac{9}{100}\\\\= 1.20\)

= $ 1.20

Answer:

Step-by-step explanation:

for 5 feet is $60

2 feet is $150.

sorry if this doesn't help!

The number of tree shades and evergreens will be 42 and 36, respectively.

The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

An engineer purchased 78 trees at an all-out cost of $4050. The overhanging trees cost $45 each and the evergreens cost $60 each.

Let 'x' be the number of tree shades and 'y' be the number of evergreens. Then the equations are given as,

x + y = 78                               ...1

45x + 60y = 4050                ...2

From equations 1 and 2, then we have

45(78 - y) + 60y = 4050

15y = 540

y = 36

Then the number of tree shades will be given as,

x + 36 = 78

x = 78 - 36

x = 42

The number of tree shades and evergreens will be 42 and 36, respectively.

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Using the Poisson distribution, there is a 0.8335 = 83.35% probability that 2 or fewer will be stolen.

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by:

\(P(X = x) = \frac{e^{-\mu}\mu^{x}}{(x)!}\)

The parameters are:

The probability that a rental car will be stolen is 0.0004, hence, for 3500 cars, the mean is:

\(\mu = 3500 \times 0.0004 = 1.4\)

The probability that 2 or fewer cars will be stolen is:

\(P(X \leq 2) = P(X = 0) + P(X = 1) + P(X = 2)\)

In which:

\(P(X = x) = \frac{e^{-\mu}\mu^{x}}{(x)!}\)

\(P(X = 0) = \frac{e^{-1.4}1.4^{0}}{(0)!} = 0.2466\)

\(P(X = 1) = \frac{e^{-1.4}1.4^{1}}{(1)!} = 0.3452\)

\(P(X = 2) = \frac{e^{-1.4}1.4^{2}}{(2)!} = 0.2417\)

Then:

\(P(X \leq 2) = P(X = 0) + P(X = 1) + P(X = 2) = 0.2466 + 0.3452 + 0.2417 = 0.8335\)

0.8335 = 83.35% probability that 2 or fewer will be stolen.

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Answer:

196.1 cm^2

Step-by-step explanation:

The area of a circle is given by Area = πr^2

R is (15.8 cm)/2 = 7.9 cm

Area = (3.14)*(7.0cm)^2

Area = 196.1 cm^2

Answer:

The formula to calculate the area of a circle is given by: A = π * r^2, where r is the radius of the circle.

Given the diameter of 15.8 cm, we can calculate the radius by dividing the diameter by 2: r = 15.8 cm / 2 = 7.9 cm

Plugging the value of the radius into the formula: A = π * 7.9^2 = 3.14 * 62.41 = 196.0794 cm^2

Rounding the answer to the nearest hundredth, the area of the circle with a diameter of 15.8 cm is approximately 196.08 cm^2.

Answer:

(7; -1)

Step-by-step explanation:

Hi there!

Here is a solution:

If x=-7y then -14y-8y=22 => y=-1 and x=7

Hope this helps)

Have a nice day!

Answer:

you can do this unless x is given

Step-by-step explanation:

since we don't know what x equals this is practically impossible. so if u can put whay x equals in the picture

Answer:

20t+20 ≤ 93

20t ≤ 73

t ≤ 73/20, or 3.65

Lainey can dive for 3.65 more minutes.

Let me know if this helps!

Convert 75 degrees to radians

since

then

75 degrees to rads is given by

notice how the degree symbol(°) is cancelled then we only have the rads units

then

The present value of Selena's legacy, which she will receive in 20 years, can be calculated using the formula for continuous compounding. Assuming an interest rate of 5.1% compounded continuously, we can determine the amount of money needed today to yield $300,000 in 20 years.

The formula for continuous compounding is given by the equation:

PV = FV / e^(rt)

Where PV is the present value, FV is the future value, r is the interest rate, t is the time period in years, and e is the mathematical constant approximately equal to 2.71828.

In this case, FV is $300,000, r is 5.1% (or 0.051), and t is 20 years. Plugging in these values into the formula:

PV = 300,000 / e^(0.051 * 20)

To find the present value, we need to calculate e^(0.051 * 20). Evaluating this expression:

e^(0.051 * 20) ≈ 2.71828^(1.02) ≈ 2.77302

Now, we can calculate the present value:

PV = 300,000 / 2.77302 ≈ $108,170.63

Therefore, the present value of Selena's legacy, considering continuous compounding at an interest rate of 5.1%, is approximately $108,170.63.

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The following are the rules of monomials and exponents that are used:

Monomials: It is a polynomial with one term, where each term consists of a coefficient and a variable.

The coefficients and variables are multiplied together and each of the products that is obtained is known as monomial.

For example, 4x, 3x², 5x²y, 10, 2x³, etc.

Exponent: The exponent of a number says how many times to use the number in multiplication.

For example, in ³⁴, 3 is the base, 4 is the exponent, and ³⁴ means 3 multiplied by itself 4 times. 3 x 3 x 3 x 3 = 81.Rules:Product rule:

When multiplying monomials that have the same base, add the exponents.

For example, a³ x a² = a³+² = a⁵. Anything to the zero power equals 1.

For example, x⁰ = 1.

Answer key: The answer key will include solutions for all the given questions that are present in the worksheet. Each problem in the worksheet has to be answered using the above rules of monomials and exponents.

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The Solution:

We are given the improper fraction below:

We are asked to write the above improper fraction as a mixed fraction.

Therefore, the required mixed fraction is

Answer:

Step-by-step explanation:

1. Since we know that Lila wants to use 1 cup of pretzels, we can multiply 1/2 x 1/2, which is 1.

2. Now that we multiplied 1/2 by 1/2, we have to multiply 1 1/4 by 1/2.

So 5/4 x 1/2 is 5/8.

3. Lila will need 5/8 cups of raisins.

Find the derivate of the expression using the general procedure to find the derivative of a polynomial function. To do it, multiply the term times the exponent of the variable and raise the variable to the original exponent minus 1:

Now that we have the expression for the derivative of the function, evaluate it at the value of x that is in the question statement, which is 1:

The derivative of the function is -2 at x=1.

Answer:

It is 64. Pls mark me as brainliest.

Step-by-step explanation:

You divide.

576÷9=64

576÷9

9÷9=1

64/1

or

64

There both the same.

Answer:

Reduce 576/9 to lowest terms

The simplest form of  

576 /9 is 64/1

Step-by-step explanation:

Steps to simplifying fractions

Find the GCD (or HCF) of numerator and denominator

GCD of 576 and 9 is 9

Divide both the numerator and denominator by the GCD

576 ÷ 9

9 ÷ 9

Reduced fraction:  

64 /1

Therefore, 576/9 simplified to lowest terms is 64/1.

Answer:

(x - 5)^2 = 39

Step-by-step explanation:

If we open the expression

(x - 5)^2 it'd be x^2 - 10x + 25 = 39

Then we subtract 25 from both sides of the equation

x^2 - 10x + 25 = 39

x^2 - 10x + 25 - 25 = 39 - 25

x^2 - 10x = 14

Answer:

(-1,-2) is correct.

Step-by-step explanation:

To find the solution of both linear graphs, you can do by finding the intercept of both graphs.

Both graphs intersect each others at x = -1 and y = -2.

Focus on x = -1 then look down and you will see that both graphs intersect at y = -2.

Thus:-

You're correct!

Answer:

Yes. (-1 , -2)

Step-by-step explanation:

The solution of system of equation is given by the point at which two lines intersect.

Answer: its 1 over 0 which equals B^-1

In a multiple regression model, the error term (often denoted as ε or e) is assumed to be a random variable with a mean of zero.

This assumption is a key component of the regression model and is often referred to as the assumption of zero conditional mean or the assumption of homoscedasticity. The assumption of a mean of zero for the error term means that, on average, the errors have no systematic bias or tendency to overestimate or underestimate the predicted values. It implies that the model's predictions are unbiased and that any deviations from the true values are due to random chance or other factors not captured by the model. The other options presented in the answer choices (B) -1, (C) 1, and (D) any value are incorrect. The mean of the error term is specifically assumed to be zero, as it represents the average deviation of the observed values from the predicted values in the model.

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This matches the placement of 10, 15, and 20 and hence the standard deviation will be the same in the two cases.

What is the standard deviation?

The standard deviation in statistics is a measure of the amount of variation or dispersion in a set of values. A low standard deviation indicates that the values are close to the set's mean, whereas a high standard deviation indicates that the values are spread out over a wider range.

Standard deviation determines how far numbers deviate from the mean. The Standard deviation of the two sets will be the same if the numbers from the respective means are placed in the same order.

This is what 10, 15, and 20 will be on a number line

10_ _ _ _15 _ _ _ _20

(15 is the mean and 10 and 20 are 5 steps away from the mean)

i) Z - X = 10

This is what Z and X will be on the number line

X _ _ _ _ _ Z

ii) Z - Y = 5

This is what Z and Y will on the number line.

Y_ _ _ _ _ Z

Together, their relative placement on the number line:

X _ _ _ _ _  Y  _ _ _ _ _  Z

This matches the placement of 10, 15, and 20 and hence the standard deviation will be the same in the two cases.

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Answer:

To find out how much each apple cost

Step-by-step explanation:

If Molli bought 9 apples for a total of $3.96, she could divide her total by 9 to figure out how much each individual apple cost.

Answer:

x= -5    y= 6

Step-by-step explanation:

Answer:

y2

x3

-4

=x10

11

22

x10

y3

x14

since its the same you will have to multiple it all to get the answer