Form a polynomial with given zeros and degree calculator.

The standard deviation of the costs is 37 Dhs

The given mean is 173 and 3% of costs exceed 243. We have to calculate the standard deviation of the cost. Therefore, let's first start by calculating the z-score as follows;z-score formula = `(x - μ) / σ`z-score = `243 - 173 / σ`z-score = `70 / σ`We need to find the standard deviation of the costs. Since the z-score formula includes standard deviation, we can first calculate the z-score and then use it to calculate the standard deviation.Using the z-table, we can find the z-score for 3% = -1.88-1.88 = (243 - 173) / σσ = (243 - 173) / -1.88σ = -70 / -1.88σ = 37.23≈ 37The standard deviation of the costs is 37 Dhs. Hence, the correct option is as follows.Option D is the correct option.

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The equation of the linear line that best fit the given points is y = (7/8)x + 7/8.

A straight line on the coordinate plane is represented by a linear function.

A linear function always has the same and constant slope.

The formula for a linear function is f(x) = ax + b, where a and b are real values.

The line passes through points (-1,0) and (7,7) will be the best fit as it is at the smallest distance between all points.

The linear function associated with the point (-1,0) and (7,7) will be as,

y - 0 = [(7 - 0)/(7 + 1)](x + 1)

y = (7/8)(x + 1)

y = (7/8)x + 7/8

Hence "y = (7/8)x + 7/8 is the equation of the linear line that best fits the provided points".

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Answer:

To make the smallest number with the cards 3, 2, 4, and 7, you can arrange them as 2, 3, 4, 7 to get the number 237.

To make the number closest to 5000, arrange the cards as 7, 4, 2, 3 to get the number 7243.

Step-by-step explanation:

Answer:

Verification:

Let's verify all the options to see which is equivalent.

Option-A:

Option-B:

Option-C:

Option-D:

Hence, Option B is correct.

Answer:

\(x\leq 6\)

Step-by-step explanation:

\(5x-9\leq 21\\\\5x-9+9\leq 21+9\\\\5x\leq 30\\\\\frac{5x}{5}\leq \frac{30}{5}\\\\x\leq 6\)

To calculate the 90% confidence interval for the average EPS of all industrials listed on the DJIA, we will use the formula:

Confidence interval = sample mean ± (critical value * standard deviation / √sample size)

Step 1: Find the critical value.
Since we want a 90% confidence interval, the corresponding critical value can be obtained from the z-table. The critical value for a 90% confidence level is 1.645.

Step 2: Calculate the margin of error.
The margin of error is given by (critical value * standard deviation / √sample size).
Substituting the values, we get: 1.645 * 0.395 / √9 = 0.29175.

Step 3: Calculate the confidence interval.
The confidence interval is given by the sample mean ± margin of error.
Substituting the values, we get: 1.85 ± 0.29175.

The 90% confidence interval for the average EPS of all industrials listed on the DJIA is (1.55825, 2.14175).

We can be 90% confident that the true average EPS of all industrials listed on the DJIA falls within the range of 1.55825 to 2.14175.

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To correct the given expression in proper Sum-of-Products format is to apply the Commutative Law.

In Boolean algebra, the Commutative Law states that the order of operands can be changed without affecting the result of the operation. In the given expression, the terms A ˉ ⋅ B ⋅ C and A ⋅ B ⋅ C can be rearranged to have the same variables grouped together. By applying the Commutative Law, we can rewrite the expression as X = B ⋅ C ⋅ A ˉ + B ⋅ C ⋅ A + B ⋅ C ⋅ A. Now the expression is in a form where the terms are grouped based on the common variables.

By rearranging the terms and applying the Commutative Law, we can bring the expression closer to the proper Sum-of-Products format. However, further steps may be required to fully convert it into the desired format. The Sum-of-Products form represents a Boolean function as the sum (OR) of multiple product (AND) terms, where each term consists of literals (variables) and their complements.

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Answer:

The probability that the next failure will not occur before 30 months have elapsed is 0.0454

Step-by-step explanation:

Using Poisson distribution  where

t= number of units of time

x= number of occurrences in t units of time

λ= average number of occurrences per unit of time

P(x;λt) = e raise to power (-λt)  multiplied by λtˣ divided by x!

here λt = 25

x= 30

P(x= 30) = 25³⁰e⁻²⁵/ 30!

P (x= 30) = 8.67 E41 * 1.3887 E-11/30!    (where E= exponent)

P (x=30) = 1.204 E31/30!

Solving it with a statistical calculator would give

P (x=30) = 0.0454

The probability that the next failure will not occur before 30 months have elapsed is 0.0454

Answer:

I guess we have the table:

x     f(x)

-4      7

-2      5

0       3

2       1

4      - 1

To find the slope of this, we need to select two different points (x1, y1) and (x2, y2) and use the relation:

slope = (y2 - y1)/(x2 - x1)

let´s use the first two:

(-4,7) and (-2, 5)

Slope = (5 - 7)/(-2 - (-4)) = -2/2 = -1

Now, if we want to be sure that this is a linear equation, we should do the same for other two pairs of points, now use the first and the third:

(-4, 7) and (0,3)

S = (3 - 7)/(0 -(-4)) = -4/4 = -1

Now, for the function g(x) we can see a constant line, that is parallel to the x-axis.

This means that the slope of this function is equal to zero.

This means that the slope of g(x) is bigger than the slope of f(x), because 0 > 1

The smallest number of coins you could have had before finding the bag of 53 coins is 371. which is more than 200.

There are seven bags, so there are 7x coins in total:

7x = T.

Since the number of coins in each bag must be an integer, (T + 53) must be a multiple of 8. We know that T = 7x, so we can write this as follows:

(7x + 53) ≡ 0

(mod 8)This means that 7x ≡ 3 (mod 8).

The solutions to this congruence are

x ≡ 3, 11 (mod 8).

Since x is a positive integer, we take

x = 11

(the other possibility, x = 3,

leads to a smaller value for T).

Therefore, T = 7x = 77, and the total number of coins after the bag of 53 coins is found is

T + 53 = 130.

After redistributing the coins into eight equal bags, each bag contains 16 coins.

Therefore, the number of coins you had initially was

7x = 77,

so the smallest number of coins you could have had before finding the bag of 53 coins is

77 - 53 = 24.

After redistributing the coins, you had

8 × 16 = 128 coins left,

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Answer:

x = 5

Step-by-step explanation:

Also in this case we can use the Pythagorean theorem in this way

x^2 + (5√3)^2 = 10^2

x^2 + 75 = 100

x^2 = 25

x = +/- 5

we take only the positive value because a lenght can’t be negative

x = 5

Take into account that the area of the triangle is given by:

where,

b: base length of the triangle = 2ac^2

h: height of the triangle = 6 + 2ac^2

in this case, a = 4 and c = 2.

Replace the given expressions for b and h and then replace the values of a and b:

Hence, the area of the given triangle is 608 cm^2

Answer:

1.  3 and -5

2.  7

Step-by-step explanation:

The zeros of functions are the x-values when y = 0, i.e the point(s) at which the line crosses the x-axis.

To find the zeros of the given functions, set the function to zero and solve for x.

Given function:

\(y=5(x-3)(x+5)\)

Set the function to zero:

\(\implies 5(x-3)(x+5)=0\)

\(\implies \dfrac{5(x-3)(x+5)}{5}=\dfrac{0}{5}\\\)

\(\implies (x-3)(x+5)=0\)

Using the Zero Product Property, set each factor equal to zero and solve for x:

\(\implies (x-3)=0 \implies x=3\)

\(\implies (x+5)=0 \implies x=-5\)

Therefore, the zeros of the function are 3 and -5.

Given function:

\(y=(x-7)^2\)

Set the function to zero and solve for x

\(\implies (x-7)^2=0\)

\(\implies \sqrt{(x-7)^2}=\sqrt{0}\)

\(\implies x-7=0\)

\(\implies x=7\)

Therefore, the zero of the function is 7 (with multiplicity 2).

The probability of being issued the license plate q h l t 9 1 is very low because there are a total of 456,976 possible combinations (26 letters for the first slot, excluding o, multiplied by 26 letters for the second slot.

multiplied by 26 letters for the third slot, multiplied by 26 letters for the fourth slot, multiplied by 10 numbers for the fifth slot, and multiplied by 10 numbers for the sixth slot). Therefore, the probability of being issued a specific license plate like q h l t 9 1 is 1 in 456,976.

To find the probability of being issued the license plate QHLT91, we need to calculate the probability of each character being selected and then multiply those probabilities together.

1. There are 25 available letters (26 minus the letter O) for the first four characters. The probability of getting Q, H, L, and T are all 1/25.
2. There are 10 possible numbers (0-9) for the last two characters. The probability of getting 9 and 1 are both 1/10.

Now, let's multiply the probabilities together:

(1/25) * (1/25) * (1/25) * (1/25) * (1/10) * (1/10) = 1 / 39,062,500

So, the probability of being issued the license plate QHLT91 in Florida is 1 in 39,062,500.

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Step-by-step explanation:

six times the sum of a number and 2 is -36

Solution,

Let the number be x, then

6(x+2)=-36

6x+12=-36

6x=-36-12

6x=-48

x=-48/6

x=-8

Answer:

The answer is B

Step by step:

its B

Answer:

\( {64m}^{9} {n}^{3} \)

Step-by-step explanation:

Forst thing to do in this is to write it out, it makes more sense of the problem.

\(( \frac{ {4m}^{5} {n}^{2} }{ {m}^{2}n } ) \times ( \frac{ {4m}^{5} {n}^{2} }{ {m}^{2}n } ) \times( \frac{ {4m}^{5} {n}^{2} }{ {m}^{2}n } )\)

Now we can solve for the equation, it takes time.

\( (\frac{ {16m}^{10} {n}^{4}}{ {m}^{4} {n}^{2} } ) \times ( \frac{ {4m}^{5} {n}^{2} }{ {m}^{2} n} ) \\ \frac{ {64m}^{15} {n}^{6} }{ {m}^{6} {n}^{3} } \\ {64m}^{9} {n}^{3} \)

Answer:

It is not possible to determine the probability that a person with an iron deficiency is 20 years or older without additional information.

The probability would depend on various factors such as the prevalence of iron deficiency in different age groups and the age distribution of the population. Without knowing these factors, we cannot calculate the probability.

First row = 25

Second row = 27

Third row = 29

This is 25, 27, 29...

there are 30 rows, this is n = 30

common difference = d = 27 - 25 = 2

then, we use the formula:

so, 83 is the last term:

that mean 1620 total seats, therefore:

answer: $4,050,000

Answer:

3/2

Step-by-step explanation:

if you put the equation in slope intercept form you get y=3/2x-5

The three possibilities that Damon can use as the common factor for equivalent expression are y(5xz + 3z + 2x), z(5xy + 3y + 2x) and  xy(5z + 3 + 2z).

To discover a common figure for 60xyz+36yz+24xy, we have to be discover the Greatest Common Factor (GCF) of the coefficients 60, 36, and 24, and the factors x, y, and z.

The GCF of the coefficients 60, 36, and 24 is 12. Able to calculate out 12 from each term:

60xyz+36yz+24xy = 12(5xyz + 3yz + 2xy)

Presently, we ought to discover a common calculate for the remaining components, 5xyz + 3yz + 2xy. Here are three conceivable outcomes:

Calculate out y:

5xyz + 3yz + 2xy = y(5xz + 3z + 2x)

Calculate out z:

5xyz + 3yz + 2xy = z(5xy + 3y + 2x)

Calculate out xy:

5xyz + 3yz + 2xy = xy(5z + 3 + 2z)

So, Damon may utilize any of these three conceivable outcomes as the common calculate for an proportionate expression.

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Answer:

x+4=10

10-4=6

x=6

Step-by-step explanation:

subtract 4 from both sides

Answer:

x = 6

Step-by-step explanation:

Inverse operations

10 - 4 = x

10 - 4 = 6

x = 6

Answer:

cos C = \(\frac{12}{13}\)

Step-by-step explanation:

this is a 5- 12- 13 right triangle with BC = 12 , then

cos C = \(\frac{adjacent}{hypotenuse}\) = \(\frac{BC}{AC}\) = \(\frac{12}{13}\)

Answer:300

Step-by-step explanation:

Answwhat is the question lol there is no picture or you didnt ask the question

Step-by-step explanation:

Answer:

(2x+1)(x+3)

Step-by-step explanation:

just remember to put a ^ when you do this 2x2 put it like this 2x^2

an you welcome and plz give me brainiest

Answer:

$12.72 or $25.44

Step-by-step explanation:

if he buys 2 tickets that are $12 each. half of 12 is 6 so you will have to pay 12 plus tax(6%). to find tax you would multiply 12 x .06 which would be $12.72. if it say the tickets are half off from $24 being $12 each then the answer would be $25.44. the question  dosent specify that.

hope i helped

Step-by-step explanation:

Answer:

uhm... if where doing lettes its BC but the number... maybe 14 or something im not really good at this type of math

Step-by-step explanation:

The cost of 8 pounds of oranges based on the total cost of 5 pounds bought is 12.00

What is the cost for a pound of oranges?

The cost of a pound of oranges based on the rate at which 5 pounds were bought and 8 pounds would also be bought is determined as the amount paid for 5 pounds of oranges divided by the number of pounds of oranges bought

cost per pound of oranges=cost of 5 pounds/5 pounds

cost per pound of oranges=7.50/5

cost per pound of oranges=1.50

Based on the 1.50 per pound, the cost of 8 pounds is the cost per pound multiplied by 8 pounds

cost of 8 pounds of oranges=1.50*8pounds

cost of 8 pounds of oranges=12.00

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