a bake shop sells twenty different kinds of pastries. twelve of them were chocolate. zack randomly buys eight kinds of pastries. what is the chance that four of them will be chocolate? use the hypergeometric distribution.

Answer:

0.000309 in scientific notation is 3.09 x 10^(-4)

Answer:

0.309x10 to the -4 power

Step-by-step explanation:

just move the decimal place back till its a whole number and do that number to the power of ten if that makes sense

PLS give brainlist mean the world

have a good day

Step-by-step explanation:

[tex]8 ^{2} [/tex]

is your answer please make me brainalist and keep smiling

8*8=64 then

8 is your answer

Answer: Square root of 64 is 8

The profit (p) is $7500 generated by selling 1500 units of a certain commodity is given by the function p ( x ) = - 1500 + 12 x - 0.004 x²

To maximize our profit, we must locate the vertex of the parabola represented by this function. The x-value of the vertex indicates the number of units that must be sold to maximize profit.

We may use the formula for the x-coordinate of a parabola's vertex:

x = -b/2a

where a and b represent the coefficients of the quadratic function ax² + bx + c. In this situation, a = -0.004 and b = 12, resulting in:

x = -12 / 2(-0.004) = 1500

This indicates that when 1,500 units are sold, the profit is maximized.

To calculate the greatest profit, enter x = 1500 into the profit function:

P(1500) = -1500 + 12(1500) - 0.004(1500)^2

P(1500) = -1500 + 18000 - 9000

P(1500) = $7500

Therefore, the maximum possible profit is $7,500 and it is generated when 1,500 units are sold.

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To achieve this maximum profit, exactly 1500 units must be sold.

To find the maximum profit and the number of units needed to generate it, we can use the given profit function p(x) = -1500 + 12x - 0.004x^2. We need to find the vertex of the parabola represented by this quadratic function, as the vertex will give us the maximum profit and the corresponding number of units.

Step 1: Identify the coefficients a, b, and c in the quadratic function.
In p(x) = -1500 + 12x - 0.004x^2, the coefficients are:
a = -0.004
b = 12
c = -1500

Step 2: Find the x-coordinate of the vertex using the formula x = -b / (2a).
x = -12 / (2 * -0.004) = -12 / -0.008 = 1500

Step 3: Find the maximum profit by substituting the x-coordinate into the profit function p(x).
p(1500) = -1500 + 12 * 1500 - 0.004 * 1500^2
p(1500) = -1500 + 18000 - 0.004 * 2250000
p(1500) = -1500 + 18000 - 9000
p(1500) = 7500

So, the maximum profit is $7,500, and 1,500 units must be sold to generate it.

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The probability of choosing m from the word mathematics is 2/11 or approximately 0.1818.

To find the probability of choosing m from the word mathematics, we need to know the total number of letters in the word and the number of occurrences of the letter m.

The word mathematics has a total of 11 letters. The letter m appears twice in the word.

Therefore, the probability of choosing m from the word mathematics can be calculated as:

P(m) = Number of ways to choose m / Total number of letters

P(m) = 2 / 11

So the probability of choosing m from the word mathematics is 2/11 or approximately 0.1818.

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The margin of error for the 95% confidence level is approximately $873.15.

To calculate the error bars for the 95% confidence level, we need to find the critical value of the z-score from the standard normal distribution table.

Accepting a 95% certainty level, the importance level (α) is 0.05, which implies the certainty level is 1-α = 0.95.

On the off chance that we see the z-score at the 95% certainty level on the standard typical conveyance table, we get an esteem of 1.96.

 Then you can use the formula for Tolerance (E).

error bar (E) = z * (standard deviation / sqrt(n))

where:

z = critical value in the standard normal distribution table

standard deviation = $3,000

n=40

Substitute the obtained value.

Error Bar (E) = 1.96 * ($3,000 / sqrt(40))

≈ $873.15

Therefore, the margin of error for the 95% confidence level is approximately $873.15.

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Answer:

Total=$90

Used=$40

Left=($90-$40)=$50

1 carton = $4.49

$50÷$4.49

=11.135857 ≈ $11 10¢

Answer:

Step-by-step explanation:

To find which number is closest to zero, we must find the number with the lowest absolute value. Luckily to our advantage, all of these numbers have the same denominators, so the number with the lowest numerator is closest to zero.

Out of these numbers, 1/5 is the closest to zero.

In this data set, the year is the independent variable, and the population is the dependent variable. The population depends on the year in which it is measured.

The set of ordered pairs for the relation between year and population is:

{(2001, 6,169,683,257), (2002, 6,248,055,839), (2003, 6,325,991,838), (2004, 6,403,480,654), (2005, 6,480,500,311)}

To graph this relation on a scatter plot, we can plot the year on the x-axis and the population on the y-axis. We can label the x-axis as "Year" and the y-axis as "Population (in billions)".

Here is the scatter plot of the relation:

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Mary needs to deposit $282.44 at the end of each quarter into a sinking fund that earns 4% interest compounded quarterly in order to have $9,000 in 9 years.

what is deposit ?

In the context of finance, a "deposit" refers to the act of placing money or funds into a bank account, investment account, or other financial account. A deposit can also refer to the initial payment made to secure or initiate a purchase

In the given question,

To calculate the sinking fund payment that Mary needs to make at the end of each quarter, we can use the formula for the future value of an annuity:

FV = PMT x [(1 + r/n)ⁿᵇ - 1]/(r/n)

Where:

FV = future value (the amount Mary needs to accumulate, which is $9,000 in this case)

PMT = payment per period (what Mary needs to find)

r = annual interest rate (4% in this case)

n = number of compounding periods per year (4, since interest is compounded quarterly)

t = number of years (9 in this case)

Substituting these values into the formula, we get:

$9,000 = PMT x [(1 + 0.04/4)³⁶ - 1]/(0.04/4)

Simplifying and solving for PMT, we get:

PMT = $9,000 / [(1.01³⁶ - 1)/0.01]

PMT = $9,000 / 31.8422

PMT = $282.44 (rounded to the nearest cent)

Therefore, Mary needs to deposit $282.44 at the end of each quarter into a sinking fund that earns 4% interest compounded quarterly in order to have $9,000 in 9 years.

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The correct answer to the fraction expression is: 2²/₂₁

There are different types of fractions such as:

Proper fractions

Improper Fractions

Mixed Fractions

We are given the fraction expression:

²/₃ + 3⁴/₇ ÷ 2¹/₂

Let us convert all to proper or improper fraction to get:

²/₃ + ²⁵/₇ ÷ ⁵/₂

Using PEMDAS order of operations, we will carry out division first to get:

²/₃ + (²⁵/₇ ÷ ⁵/₂)

When dividing fractions, the divisor changes numerator and denominaor and the sign becomes multiplication:

= ²/₃ + (²⁵/₇ * ²/₅)

= ²/₃ + ¹⁰/₇

Using L.C.M, we have:

= (28 + 60)/42

= 88/42 = 44/21

= 2²/₂₁

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The value of x after executing the last statement is still 10.

After executing the last statement, the value of x is still 10. The snippet of code declares an integer variable x and a pointer variable y that points to the address of x. Then, y is incremented by 1 (which means it now points to the next memory location after x). Finally, the value 100 is assigned to the memory location pointed to by y, which is actually beyond the memory allocated for variable x. This can lead to unexpected behavior, but since the value of x is never modified directly, its value remains unchanged at 10.

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The unknown number is -8.

A fraction is an expression representing a subset of a whole. The numerator and the denominator, which are separated by a horizontal line, are expressed as a ratio. The denominator is the total number of equally sized components that make up the whole, whereas the numerator is the number of parts that are being taken into account.

Call the unidentified number "x" for now. The following equation may then be created from the provided sentence:

3(x + 4) = (1/2)x - 8

Now, we can solve for x by simplifying and rearranging the equation:

3x + 12 = (1/2)x - 8

dividing both sides by two to get rid of the fraction

6x + 24 = x - 16

Subtracting x from both sides:

5x + 24 = -16

Subtracting 24 from both sides:

5x = -40

Dividing both sides by 5:

x = -8

Therefore, the unknown number is -8.

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the complete question is:

Three times the sum of a number and 4 is 8 less than one-half the number. What is the number?

Answer:

y=-1/12x+61/12

Step-by-step explanation:

y=-1/12x+61/12

The horizontal distance traveled by the rubber band is 4.5 feet

To write and solve an equation to find the horizontal distance traveled by the rubber band if its height is 0.75 feet, substitute f(x) = 0.75 feet into the equation representing the rubber band and solve for x. That is:

f(x) = -x² + 4x + 3

0.75 = -x² + 4x + 3

x² - 4x - 3 + 0.75 = 0

x² - 4x - 2.25 = 0

(x - 9/2)(x + 1/2) = 0       (factorize)

x = 9/2 or x = -1/2

x = 4.5 or x = -0.5

Since distance cannot be negative.

Thus, x = 4.5 feet

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Answer:

(z - 1) (z + 19)

Step-by-step explanation:

z² + 18z - 19

Consider the form x² + bx + c. Find a pair of integers whose product is c and whose sum is b. In this case, whose product is −19 and whose sum is 18.

-1, 19

Write the factored form using these integers.

(z - 1) (z + 19)

Answer: If you want to know what x = it's 0

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable. x = 0

Answer:

i guess 97 %

Step-by-step explanation: see fist of all

most colour pencils ARE made of wood so yeah sorry dont know im still in 6th

The solution of the expression is 964.

To start solving this problem, let's find the sum of -29 and 303. The sum of two numbers is the result when you add them together. So,

-29 + 303 = 274

The sum of -29 and 303 is 274.

Now, let's find the sum of -52 and -638. To add two negative numbers, you just add their absolute values and put a negative sign in front of the result. So,

-52 + (-638) = -690

The sum of -52 and -638 is -690.

Finally, the problem asks us to subtract the sum of -52 and -638 from the sum of -29 and 303. To subtract one sum from another, we just subtract the second sum from the first. So,

( -29 + 303 ) - ( -52 + -638 )

We can simplify the expression by rearranging the terms:

274 - (-690)

When we subtract a negative number, it's the same as adding its absolute value. So,

274 + 690 = 964

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Hence, the likelihood that this series of events will occur is 1 in 52, or around 0.019 or 1.9%.

A measure of how likely something is to happen is called probability. It is stated as a value between zero and 1, with 0 denoting impossibility and 1 denoting certainty of the event. An event has a higher likelihood of happening if it has a higher probability. Probability is used to represent and study random processes in a wide range of disciplines, such mathematics, statistics, science, and engineering.

given

Given that there are four fours in a regular 52-card deck, the likelihood of drawing a four is 4/52. Due to the fact that there are 13 clubs in the deck, the likelihood of drawing a club once the card has been replaced is 13/52.

As a result, the likelihood of drawing a four followed by a club is:

(4/52) x (13/52) = 1/52

Hence, the likelihood that this series of events will occur is 1 in 52, or around 0.019 or 1.9%.

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Answer:

X; Y

Step-by-step explanation:

Let I be the midpoint of UV

Coordinates of midpoint: x = (5-7)÷2 = -1;   y = (8-6)÷2 = 1

(W) has center I(-1,1) and radius = IU = [tex]\sqrt{(5-(-1))^2+(8-1)^2}=\sqrt{85}[/tex]

Equation of (W): [tex](x+1)^2+(y-1)^2=85[/tex]

We see that X(8,3); Y(6,-5) satisfy the equation of (W)

The  closest possible  choice is 198.06 ft².

Option C is correct.

The area of the base is gotten as :

length x width = 8 ft x 7 ft = 56 ft².

The length of the pyramid's slant height (s) must be determined in order to determine the area of each triangle face.

We may determine that s = (h2 + (w/2)2) = (62 + (7/2)2) = (36 + 24.5) = 60.5 7.78 ft using the Pythagorean theorem.

The area of each triangular face is

(1/2) x base x height = (1/2) x 8 ft x 7.78 ft

= 31.12 ft².

Hence, the total surface area of the pyramid :

56 ft² + 4 x 31.12 ft² = 192.48 ft².

In conclusion, the closest possible  choice is 198.06 ft².

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The theoretical probability of the spinner not landing on red is 0.875.

The total number of sections on the spinner is 8, out of which only one section is red. Therefore, the probability of the spinner landing on red is:

P(Red) = 1/8

The probability of the spinner not landing on red would be the probability of landing on any other section, which is:

P(Not Red) = 1 - P(Red) = 1 - 1/8 = 7/8

Therefore, the theoretical probability of the spinner not landing on red is 7/8 or 0.875 in decimal form.

So, the correct answer is: 0.875.

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Answer:

D

Step-by-step explanation:

The area of the rugs in square yards with given dimensions 1/2 yard by 2 5/6 yards is equal to  1 5 /12 square yards.

Dimensions of the rug are,

1/2 yard by 2 5/6 yards

Area of the rug in square yards solved by Keith is equal to

=  1/2 times 2 5/6

= ( 1/ 2 ) × (  2 5/6 )

Convert mixed fraction into proper fraction we get,

2 5/6 = ( 6 × 2 + 5 ) / 6

⇒ 2 5/6 = 17 / 6

⇒ Area of the rug in square yards solved by Keith = ( 1 / 2 ) × ( 17 / 6 )

⇒ Area of the rug in square yards solved by Keith = ( 17 / 12 )

⇒ Area of the rug in square yards solved by Keith = 1 5 /12 square yards.

Therefore, the area of the rugs is equal to 1 5 /12 square yards.

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The output value of f(-6) in the given function f(x) = 2x² + 5x - x/3 is 44.

A function is simply a relationship that maps one input to one output.

Given the function in the question;

f(x) = 2x² + 5x - x/3

f( -6 ) = ?

To find f(-6), we need to substitute -6 for x in the function f(x) and simplify:

f(x) = 2x² + 5x - x/3

Plug in f = -6

[Replace x with -6]

f(-6) = 2(-6)² + 5(-6) - (-6)/3

Simplify using order of operations

f(-6) = 2(36) - 30 + 2

f(-6) = 72 - 30 + 2

f(-6) = 72 - 28

f(-6) = 44

Therefore, the output value of f(-6) is 44.

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Answer:About 1,012 Inches

Step-by-step explanation:

Answer: The given inequality is:

y < c + 5

We can rewrite this inequality in slope-intercept form, y = mx + b, by isolating y:

y < c + 5

y - 5 < c

c > y - 5

In slope-intercept form, this is:

y = 1x + (-5)

The y-intercept of this boundary line is -5.

Step-by-step explanation:

The area of the shaded region which is a semi-circle is 157ft.

What is semi-circle?

In geometry, a semicircle can be defined as a half of a circle formed by cutting the circle into two halves. It is formed when a line or cut passes through the center and touches the two end positions of the circle and the line is called the diameter of the circle.

The shaded region is a semi- circle.

The radius is 10 ft.

The formula for the area of semi- circle is π×r²/2 where π= 3.14 and r is the radius.

So, the area of the semi- circle is {3.14× (10)²}/ 2

                                                      = 157 ft.

Hence, the area of the shaded region which is a semi-circle is 157ft.

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The total number of probability options will be 8 options.

1. Red plain and Red striped.

2. Blue plain and Blue striped.

3. Yellow plain and Yellow striped.

4. Green plain and Green striped.

5. Red plain and Blue striped.

6. Blue plain and Yellow striped.

7. Yellow plain and Green striped.

8. Green plain and Red striped.

There are 8 socks in the basket, and you can choose 1 plain sock and 1 striped sock.

This means that there are 8 possible combinations of socks you could choose.

Count the number of socks in the basket. There are 8 total socks (4 plain and 4 striped).

The number of options: There are 8 possible combinations of socks you could choose, so you have 8 options for wearing a plain sock on your left foot and a striped sock on your right foot.

Therefore,

You have 8 options for wearing a plain sock on your left foot and a striped sock on your right foot.

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