Fiad the sample variance and standard deviation.
21, 10, 3, 7, 11

how

how you get 800 in 8000000 to 87777

Step-by-step explanation:

(3h - 5)(5h + 4) =   3h * 5h    +   3h * 4     - 5*5h    - 5 *4

                              =    15h^2        - 13h    -20

\((3h-5)(5h+4)\)

\(=(3h+-5)(5h+4)\)

\(=(3h)(5h)+(3h)(4)+(-5)(5h)+(-5)(4)\)

\(=15h^2+12h-25h-20\)

Answer:

Answer:

Step-by-step explanation:

A)

The opposite sides of a rectangle are equal. The width make this obvious because both of them are x.

B)

The lengths are not so obvious, but it is never the less true. The two sides are obvious and they are therefore true.

4x + 1 = 2x + 12                   Subtract 1 from both sides.

   - 1              -1

4x = 2x + 11                         Subtract 2x from both sides

-2x   -2x

2x  =  11                               Divide by 2

x = 11/2

x = 5.5

C)

P = L + L + w + w

P = 4(5.5) + 1  + 2(5.5) + 12 + 5.5 + 5.5

P = 22 + 1 + 11 + 12 + 11

P = 23 + 23 + 11

P = 57

there are 19 possible values, there are 2 possible values, there are 3 possible values, there are 13 possible values.  the probability of getting a face card followed by a non-face card is much higher than the probability of getting a face card followed by another face card .

The sum of the numbers on the cards can take values from 2 (when both cards are Aces) to 20 (when both cards are Kings). Therefore, there are 19 possible values.

The number of times both cards are black can take values from 0 (when both cards are red) to 1 (when both cards are black). Therefore, there are 2 possible values.

The number of times both cards are 7s can take values from 0 (when neither card is a 7) to 1 (when both cards are 7s). Therefore, there are 2 possible values.

The number of times the first card is six and the second card is red can take values from 0 (when the first card is not a six or the second card is not red) to 2 (when both cards are sixes and both are red). Therefore, there are 3 possible values.

The number of times the first card is a face card and the second card is not a face card can take values from 0 (when both cards are not face cards) to 12 (when the first card is a King and the second card is an Ace, two, three, four, five, six, seven, eight, nine, or ten). Therefore, there are 13 possible values.

It is important to note that these values are not equally likely. For example, the probability of getting a sum of 2 is much lower than the probability of getting a sum of 7, since there is only one way to get a sum of 2 (both cards are Aces) but there are several ways to get a sum of 7 (one card is a 4 and the other card is a 3, or one card is a 5 and the other card is a 2, or both cards are 7s). Similarly, the probability of getting a face card followed by a non-face card is much higher than the probability of getting a face card followed by another face card, since there are more non-face cards in the deck than face cards.

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Using the binomial distribution, it is found that there is a 0.4295 = 42.95% probability that at least 4 of them say job applicants should follow up within two weeks.

For each manager, there are only two possible outcomes. Either they say job applicants should follow up within two weeks, or they do not say it. The opinion of a manager is independent of any other manager, which means that the binomial distribution is used to solve this question.

Binomial probability distribution  

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)  

\(C_{n,x} = \frac{n!}{x!(n-x)!}\)

The parameters are:

In this problem:

The probability that at least 4 of them say job applicants should follow up within two weeks is \(P(X \geq 4)\), which is given by:

\(P(X \geq 4) = 1 - P(X < 4)\)

In which:

\(P(X < 4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)\)

Then:

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

\(P(X = 0) = C_{8,0}.(0.41)^{0}.(0.59)^{8} = 0.0147\)

\(P(X = 1) = C_{8,1}.(0.41)^{1}.(0.59)^{7} = 0.0816\)

\(P(X = 2) = C_{8,2}.(0.41)^{2}.(0.59)^{6} = 0.1985\)

\(P(X = 3) = C_{8,3}.(0.41)^{3}.(0.59)^{5} = 0.2759\)

\(P(X < 4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) = 0.0147 + 0.0816 + 0.1985 + 0.2759 = 0.5707\)

\(P(X \geq 4) = 1 - P(X < 4) = 1 - 0.5705 = 0.4295\)

0.4295 = 42.95% probability that at least 4 of them say job applicants should follow up within two weeks.

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Answer:

3x=105

x=35

Step-by-step explanation:

40+3x+x = 180 (Angle sum property)

40 +4x=180

4x = 180-40

          140

x = 140/4

       =35

 3x = 35 x 3

          105

x = 35

If it was helpful please mark me as brainliest

1)

The axis of symmetry is x = -6.

2)

Vertex is (-6, 26).

3)

f(x) has a maximum value.

4)

f(x) is concave down.

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

Example:

2x + 3 = 7 is an equation.

We have,

f(x) = -x² - 12x - 10

This is in the form of ax² + bx + c.

a = -1, b = -12, c = -10

The axis of symmetry is x = -b/2a

x = 12/(-2)

x = -6

Now,

f(x) = -x² - 12x - 10

f(x) = -(x² + 12x + 10)

f(x) = - { (x² + 12x + 36) - 36 + 10}

f(x) = -(x + 6)² + 26

This is in the form of f(x) = a (x - h)² + k

a = -1, h = -6, k = 26

Vertex = (h, k) = (-6, 26)

Now,

f(x) = -x² - 12x - 10

f'(x) = -2x - 12

f''(x) = -2

It is a negative value.

This means f(x) has a maximum value.

Now,

From the graph, we see that f(x) is concave down.

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To answer this question, we need to find the area of the rectangle with sides 14 cm and 9 cm, and, then, we need to subtract from this area, the area of the semicircle with radius = 7 cm (that is, 14 cm /2 = 7 cm).

Therefore, we have:

1. Find the area of the rectangle:

2. Find the area of the semicircle:

The area of a circle is given by:

Therefore, for a semicircle, we have:

Then, we need to subtract this value from the obtained in calculating the area of the rectangle:

From the question, the answer is option D, 49.07 cm squared.

Answer:

32 qt = 8 gal

Step-by-step explanation:

1 qt x 32 = 1/4 gal x 32

32 qt = 32/4 gal

32 qt = 8 gal

The graph of the function y = 5|x - 4| is added as an attachment

From the question, we have the following parameters that can be used in our computation:

y = 5|x - 4|

The above function is an absolute value function that has been transformed as follows

Next, we plot the graph using a graphing tool by taking not of the above transformations rules

The graph of the function is added as an attachment

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Answer:

a) w ⇒ × 5 ⇒ -3 ⇒ z

b) x ⇒ +2 ⇒ ×7 ⇒ y

y= x+2×7= x + 14

Answer:

Step-by-step explanation:

S.I =720×6×5/100×365

=21600/36500

=0.59178

So balance will be 720+0.59178

=720.59178

Answer:

e-5=2f

take '-5' to the other side where '2f' is

e=2f+5

Answer:  Shawn payed the cashier $15.25

Step-by-step explanation:

Answer:

x<-10

Step-by-step explanation:

You can write this inequality:

5-x>15

Solving it:

5-x>15

-x>10

x<-10

The solution is: the cosine of an angle cannot be greater than 1 or less than -1, it is not possible for the given triangle to have an angle with a cosine of -1. Therefore, the triangle is not solvable with the given side lengths.

To determine whether the Law of Sines or the Law of Cosines is needed to solve the triangle, we can compare the given information with the formulas for each law.

The Law of Sines states:

a / sin(A) = b / sin(B) = c / sin(C)

The Law of Cosines states:

c^2 = a^2 + b^2 - 2ab * cos(C)

In this case, we are given the lengths of all three sides of the triangle (a = 6.0, b = 7.7, c = 13.6). Therefore, we have enough information to use the Law of Cosines to solve the triangle.

Using the Law of Cosines, we can find the measures of the angles:

c^2 = a^2 + b^2 - 2ab * cos(C)

(13.6)^2 = (6.0)^2 + (7.7)^2 - 2 * 6.0 * 7.7 * cos(C)

184.96 = 36 + 59.29 - 92.4 * cos(C)

184.96 = 95.29 - 92.4 * cos(C)

92.67 = -92.4 * cos(C)

cos(C) ≈ -1

Since the cosine of an angle cannot be greater than 1 or less than -1, it is not possible for the given triangle to have an angle with a cosine of -1. Therefore, the triangle is not solvable with the given side lengths.

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complete question:

Consider the following triangle.

a = 6.0, b = 7.7, c = 13.6

Determine whether the Law of Sines or the Law of Cosines is needed to solve the triangle.

O Law of Sines

O Law of Cosines

Solve (if possible) the triangle. If two solutions exist, find both. Round your answers to two decimal pl

A =

B =

C =

Need Help?

0

O

O

Read It

Answer:

Step-by-step explanation:

The general equation of a line is y = mx+b

Rewrite the given equation (7/3)x -(1/3)y = 1 in the form of the general equation y=mx+b, where b is the y-intercept.

(7/3)x -(1/3)y = 1

-(1/3)y = -(7/3)x +1 , subtract (7/3)x from both sides

(1/3)y = (7/3)x -1 , multiplyed both sides by (-1)

y= 3(7/3)x -3, multiply both sides by 3

y= 7x -3, so

y-intercept is -3 or you can say that the y-intercept is at point (0, -3)

The x -intercept is at point (something, 0) so our y coordinate is 0 there

y= 7x -3, yet y=0 we said so substitute y with 0 in the equation and find x

0=7x-3 , add 3 to both sides

3= 7x, divide both sides by 7

3/7 = x

x-intercept is 3/7 or you can say that the x-intercept is at point (3/7, 0)

Answer:

when multiplying fractions with whole numbers put the whole number over 1.

Step-by-step explanation:

For this example 3 1/5 x 11/1, times 5 by 3 and add 1 to make it a whole fraction. find the common denominator. then times it you'll get 176/5 or in decimal form 35.2.

Answer:

Binomial = 0.8724

Normal approximation = 0.873

Step-by-step explanation:

Given that :

Sample size (n) = 20

p = 0.6

q = 1 - p = 1 - 0.6 = 0.4

.using normal approximation :

Mean = np

Mean (m) = 20 * 0.6 = 12

Standard deviation (s) = √npq

s = √(20 * 0.6 * 0.4) = 2.1908902

Probability of 10 or more lines in use :

p(x ≥ 10)

Applying for correction:

p(x ≥ 10 - 0.5) = p(x ≥ 9.5)

Using the z formula :

Z = (x - m) / s

Z = (9.5 - 12) / 2.1908902

Z = - 1.141

p(Z > - 1.141) = 0.87307 (Z probability calculator)

p(Z > - 1.141) = 0.873

Using the binomial distribution :

P(x = x) = nCx * p^x * (1 - p)^(n-x)

p(x ≥ 10) = p(x = 10) + p(x = 11) +.... + p(x = 20)

Using calculator :

p(x ≥ 10) = 0.87247

= 0.873

\( \frac{7}{9} \times (8 \frac{3}{7} + 5 \frac{11}{14}) = \\ \)

\( \frac{7}{9} \times (8 \frac{6}{14} + 5 \frac{11}{14} ) = \\ \)

\( \frac{7}{9} \times (13 \frac{6 + 11}{14}) = \\ \)

\( \frac{7}{9} \times (13 \frac{17}{14}) = \\ \)

\( \frac{7}{9} \times (14 \frac{3}{14}) = \\ \)

\( \frac{7}{9} \times ( \frac{14 \times 3 + 3}{14}) = \\ \)

\( \frac{7}{9} \times ( \frac{42 + 3}{14}) = \\ \)

\( \frac{7}{9} \times ( \frac{45}{14}) = \frac{7 \times 45}{9 \times 14} = \frac{5}{2} \\ \)

_________________________________

And we're done.

Thanks for watching buddy good luck.

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Answer:

\(\displaystyle \frac{199}{18}\)

Step-by-step explanation:

Fraction Operations

Before attempting to operate with the given fractions, we need to express all of them in the form a/b, because the last 2 fractions are in mixed form.

\(\displaystyle 8\frac{3}{7}=8+\frac{3}{7}=\frac{8*7+3}{7}=\frac{59}{7}\)

\(\displaystyle 5\frac{11}{14}=5+\frac{11}{14}=\frac{5*14+11}{14}=\frac{81}{14}\)

Now for the sum of the last two fractions:

\(\displaystyle \frac{59}{7}+\frac{81}{14}\)

Make both denominators equal by multiplying by 2 both parts of the first fraction:

\(\displaystyle \frac{59}{7}+\frac{81}{14}=\frac{118}{14}+\frac{81}{14}\)

\(\displaystyle =\frac{118+81}{14}=\frac{199}{14}\)

Now multiply by 7/9:

\(\displaystyle \frac{199}{14}*\frac{7}{9}=\frac{199}{18}\)

Answer:

Step-by-step explanation:

h(6)= -6^2 - 6 = -36 - 6 = -42

g(-42) = -42 + 1 = -41

B is the answer

An arithmetic sequence is a sequence of integers with its adjacent terms differing with one common difference.

We know that,

An arithmetic sequence is a sequence of integers with its adjacent terms differing with one common difference.

The explicit formula for any arithmetic series is given by the formula,

a_n = a_1 + (n-1)d

where d is the difference and a₁ is the first term of the sequence.

The major distinction between recursive and explicit formulas is that a recursive formula returns the value of a particular term depending on the preceding term, whereas an explicit formula returns the value of a given term based on its location.

When the value of the first term and the common difference is known then an explicit formula is used, while the recursive formula will be used when the value of the previous value is known and the value of the common difference is known.

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complete question:

what is the difference between the explicit formula and recursive formula for sequences when would you use one over the other​

Answer:

63:45 =7:5

Step-by-step explanation:

7 goes into 63 9 times. Since you got 9 you multiply that by the ratio of girls.

9x5=45

Have a wonderful day!

Answer:

53

Step-by-step explanation:

INnbdueif v ur[gtwogre gregabgbf

Answer: 36 oz box

Step-by-step explanation:

3.1/12=0.258333

7.9/360.291444

Thus, the 36 oz box is the better buy

Answer:

the first term is 4