Solve the following equation for x to find the total number of sale items stocked on the shelves of a toy store for a certain week:

X

0. 7x + 24

How many total items were stocked for that week?

O 14

O 56

O 80

010

Answer:

4.1271

Step-by-step explanation:

Look at the number to the right of the full cents, if the number is five or more, increase the cents by 1. If the number is four or less, keep the cents the same. For example: Round $143.864. Look at the last digit, that is 4, since 4 is less than 5 so keep cents the same.

4.1271

last number is 1 so the cents stays the same

Using a standard normal distribution table, the probability that the average daily revenue of the sample is lower than $2580 is approximately 0.9965 or 99.65%.

To calculate the probability that the average daily revenue of the sample is lower than $2580, we can use the Central Limit Theorem, assuming that the daily revenue follows a normal distribution.

The mean of the sample distribution of the average daily revenue can be approximated as the same as the population mean, which is $2500.

The standard deviation of the sample distribution, also known as the standard error of the mean, can be calculated by dividing the population standard deviation by the square root of the sample size. In this case, the sample size is 100.

Standard error of the mean = population standard deviation / sqrt(sample size)

Standard error of the mean = $300 / sqrt(100)

Standard error of the mean = $300 / 10

Standard error of the mean = $30

Now we can calculate the z-score, which measures the number of standard deviations a value is away from the mean. We use the formula:

z = (x - μ) / σ

where x is the value we want to find the probability for, μ is the mean, and σ is the standard deviation.

z = ($2580 - $2500) / $30

z = $80 / $30

z ≈ 2.67

We can now use a standard normal distribution table or a statistical calculator to find the probability associated with a z-score of 2.67. This probability corresponds to the area under the curve to the left of the z-score.

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The pool dimensions that will minimize the cost of construction are length of square bottom = 20 ft and height of pool = 5 ft

Let l be the length of side of the square bottom of the pool and h be the height of the pool.

Its volume V = l²h

Now, the total surface area of the pool equal the area of its sides plus the area of its base.

The area of its 4 sides is 4lh.

Since the cost of the side of the pool is $80 per square foot, the total cost for the sides of the pool is C = $80 × 4lh = $ 320lh

Also, The area of its square bottom is l².

Since the cost of the side of the pool is $40 per square foot, the total cost for the square bottom of the pool is C' = $40 × l² = $ 40l²

So, the total cost of the pool is C" = C + C' = 320lh + 40l²

C" = 320lh + 40l²

Since the volume equals 2000 ft³, V = l²h

2000 = l²h

h = 2000/l²

Substituting h into C", we have

C" = 320lh + 40l²

C" = 320l × 2000/l² + 40l²

C" = 640000/l + 40l²

To find the value of l which makes C" minimum, we differentiate C" with respect to l and equate it to zero.

So, dC"/dl = d(640000/l + 40l²)/dl

dC"/dl = d(640000/l)/dl + d(40l²)/dl

dC"/dl = -640000/l² + 80l

Equating dC"/dl to zero, we have

-640000/l² + 80l = 0

-640000/l² = -80l

Cross-multiplying, we have

640000 = 80l³

Dividing through by 80, we have

l³ = 640000/80

l³ = 8000

Taking cube root of both sides, we have

l = ∛8000

l = 20 ft

We differentiate C" twice to determine if this value of l gives a minimum for C".

So, d²C"/dl² = d(-640000/l² + 80l)/dl

d²C"/dl² = d(-640000/l²)/dl + d(80l)/dl

d²C"/dl² = 640000/l³ + 80

Substituting l = 20, we have

d²C"/dl² = 640000/l³ + 80

d²C"/dl² = 640000/20³ + 80

d²C"/dl² = 640000/8000 + 80

d²C"/dl² = 80 + 80

d²C"/dl² = 160 > 0

Since d²C"/dl² = 160 > 0. So, l = 20 ft gives a minimum for C".

Since h = 2000/l²

Substituting l = 20 into the equation, we have

h = 2000/l²

h = 2000/20²

h = 2000/400

h = 5 ft

So, the pool dimensions that will minimize the cost of construction are length of square bottom = 20 ft and height of pool = 5 ft

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The value of ∠ADC is,

⇒ ∠ADC =  108°.

Since, We know that,

An angle is combination of two rays (half-lines) with a common endpoint. The latter is known as the vertex of the angle and the rays as the sides, sometimes as the legs and sometimes the arms of the angle.

We have to given that;

In the circle P,

ABCD is inscribed quadrilateral.

And, ∠DAB = 110°,

⇒ ∠ABC = 72°

Hence, To find the value of ∠ADC.

We know that,

Theorem:

A quadrilateral can be inscribed in a circle if and only if the opposite angles are supplementary that is, sum of the opposite angles will be 180°.

Hence, According to the theorem,

⇒ ∠ABC + ∠ADC = 180°

⇒ ∠ADC + 72 = 180

⇒ ∠ADC = 108°

Therefore, We get;

The value of ∠ADC is 108°.

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Answer:

A = 15 mm²

Step-by-step explanation:

the volume (V) of a prism is calculated as

V = Ah ( A is the cross section and h the depth )

here h = 12 and V = 180 , then

A × 12 = 180 ( divide both sides by 12 )

A = 15 mm²

The probability that a randomly selected student studies more than 27 hours per week is 0.0014.

In statistics, Standard deviation is a measure of the variation of a set of values.

σ = standard deviation of a population

N = number of observations of population

X = mean

μ = population mean

The average number of hours that NAU students spend studying each week is normally distributed with a mean of 25 hours and a standard deviation of 2.5 hours.

So, μ = 25

σ  = 2.5 hours.

\(P(X > 27) = P(\frac{x-\mu}{\sigma} } > \frac{27-25}{2.5})\\\\= P(z } > \frac{27-25}{2.5})\\\\\)

= P (z > 1.2)

= 1 -  P (z < 1.2)

= 0.0014

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Add the 259 to the initial price:

10,000 + 259 = 10,259

Increase that price by 25%, so multiply by 1.25:

10259 x 1.25 = 12,823.75

The price is then increased by another 10%, multiply by 1.10:

12,823.75 x 1.10 = 14,106.13

List price = $14,106.13

Answer:

x=5

Step-by-step explanation:

The x - intercept of the graph of the expression is (5, 0).

We have the following expression -

- 4x = - 20

We have to find the x - intercept of the graph of this expression.

The Slope - intercept form of the equation of a straight line is as follows-

y = mx + c

where -

m - slope of line

c - intercept of line on y - axis.

According to the question -

- 4x = - 20

x = 5

Hence, the x - intercept of the graph of the expression is (5, 0). Refer the graph attached in the end.

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Answer:

\(\frac{217}{30} \)

Step-by-step explanation:

Given:

\(\frac{3}{2}-\left \{ {{(\frac{1}{3}-3)x[(1-\frac{3}{5})+(2-\frac{1}{4}]} \)

Answer:

Time taken to cool your room (in hours) = (volume of your room* density of air* change in temperature you want * specific heat of air)/ (latent heat of fusion * ton capacity of your AC*1000 / 24).

Answer: you need 20 teaspoons of red paint

Answer:

-5.5

Step-by-step explanation:

[12*(3/(2^2))]/2-10   [Rewritten to add brackets.

Use PEDMAS to determine order of operation.

P =- parentheses first:

[12*(3/(2^2))]/2-10

[12*(3/(4))]/2-10        [squared the 2]

[12*(3/4)]/2-10          [Removed excess parentheses]

[12*(3/4)]/2-10         [Next parenthses:  12*(3/4)  Divide and Multioply]

[9]/2 - 10                   [Divide and Multiply]

4.5 - 10                     [Add/Subtract]

-5.5                          Result

The inequality notation for the given interval is -∞ < x ≤ -11 and -8 ≤ x < ∞

Disclaimer:

Considering the given interval as (-∞, -11] ∪ [-8, ∞).

Given interval is a union of two intervals.

The first interval denotes the set of all real numbers which are less than or equal to -11.

And the second interval denotes the set of all real numbers which are greater than or equal to -8.

The inequalities can be written as below:

(-∞, -11] ⇒ x ≤ -11 (or) -∞ < x ≤ -11

[-8, ∞) ⇒ x ≥ -8 (or) -8 ≤ x < ∞

And there is a union symbol between these two intervals.

So, x should satisfy both inequalities.

x ≤ -11 and x ≥ -8

or the above can be written as

-∞ < x ≤ -11 and -8 ≤ x < ∞

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Answer:

Let's solve your equation step-by-step.

1/2x + 2 = −2

Step 1: Subtract 2 from both sides.

1/2x + 2 − 2 = −2 −2

1/2x = −4

Step 2: Multiply both sides by 2.

2 * (1/2x) = (2) * (−4)

x= −8

Step-by-step explanation:

The probability of selecting a King of Clubs from a standard deck of 52 cards is 1/52, or 0.019.

This is so because there is just one King of Clubs—the lone card with that particular suit and rank—in the regular deck.

No of the card's suit or rank, there is always a 1/52 chance that it will be drawn from a normal deck.

This is due to the fact that every card has an equal chance of being chosen, and as a normal deck contains 52 cards, the likelihood of any card being chosen is 1/52.

In summary, the likelihood of drawing a King of Clubs from a conventional 52-card deck is  1/52, or 0.019.

Complete Question:

A card is  drawn from a standard deck of 52 cards. What is the probability of selecting a King of Clubs?

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Answer:

192

Step-by-step explanation:

Just multiply 24 by 8.

I think thats it tho.

Answer:

I think its 192

Step-by-step explanation:

you just do 24 times 8

If one of the zeros in the quadratic polynomial is 4, then the value of k is 3.

A polynomial is a mathematical expression made up of coefficients and indeterminates that uses only the operations addition, subtraction, multiplication, and powers of positive integers of the variables. x2 4x + 7 is an illustration of a polynomial with a single indeterminate x. A polynomial is a mathematical expression that only uses the operations addition, subtraction, multiplication, and non-negative integer exponentiation of variables. Variables are also known as indeterminates in mathematics.

Here,

4 is a root/zero of polynomial

P(x)  =   (k-2) x²  - 2 x  - (k+5)

P(4) = 0

(k - 2) 4²  - 2 * 4 - (k+5)  = 0

15 k - 45 = 0  

k = 3

The value of k if 4 is one of the zeros of the quadratic polynomial is 3.

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Complete question:

If one of the zeros of a quadratic polynomial(k-2)x^2-2x-(k+5) is 4 , find value of k.

Answer:

I’m not good at math.

Step-by-step explanation:

I am not good at math I am failing in my math class right now

Answer:D,E

Step-by-step explanation:

9/3=3

36=9×4

Statement (B) The mean lies to the left of the median for a positively skewed distribution because there will be fewer data on the right side is correct.

It is defined as the depiction of numerical data in a graph using a bar with no space. The histogram depicts the approximate distribution of the data.

We know on the left side skewed histogram has more data on the right and on the left side, there are fewer data. It is also called a negatively skewed histogram.

On the right side skewed histogram, there is fewer data on the right side and more data on the left side. It is also called a positive histogram.

Thus, statement (B) The mean lies to the left of the median for a positively skewed distribution because there will be fewer data on the right side is correct.

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The reflection of the point P(4, -1) over the x-axis is Rx-axis(P) = (4, 1).

To find the reflection of the point P(4, -1) over the x-axis, we need to change the sign of the y-coordinate while keeping the x-coordinate the same.

The reflection of a point over the x-axis will have the same x-coordinate but the y-coordinate will be the opposite sign.

Given the point P(4, -1), the reflection over the x-axis, Rx-axis(P), can be found as follows:

Rx-axis(P) = (4, -(-1))

Simplifying the expression:

Rx-axis(P) = (4, 1)

We must modify the sign of the y-coordinate while maintaining the x-coordinate in order to determine the reflection of the point P(4, -1) across the x-axis.

The x-coordinate of a point reflected across the x-axis will remain the same, but the sign of the y-coordinate will change.

The reflection across the x-axis, Rx-axis(P), for the position P(4, -1), may be obtained as follows:

Rx-axis(P) = (four, minus one).

Condensing the phrase:

(P) = (4, 1) Rx-axis

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According to the Side-Angle-Side Theorem (SAS), two triangles are congruent if their two sides and the angle between them are equal to those of another triangle's two sides and angle.

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Answer:

-202

Step-by-step explanation:

-7(-5)^2+9(-3)

-7*5^2-27

-7*25-27

-175-25

-202

Answer:

Check pdf

Step-by-step explanation:

Answer:

4/52

Step-by-step explanation:

We multiply these three individual probabilities together to get P(QQQ) = P(Q)P(Q)P(Q) = (4/52)(4/52)(4/52)

HOPE THIS HELPS

Answer:

b is the answer of the question because it is the only answer