I need help with these 3 questions plzzz.

Answer:

The outcomes of this binomial distribution that would be considered unusual is {0, 1, 2, 8}.

Step-by-step explanation:

The outcomes provided are:

(A) 0, 1, 2, 6, 7, 8

(B) 0, 1, 2, 7, 8

(C) 0, 1, 7, 8

(D) 0, 1, 2, 8

Solution:

The random variable X can be defined as the number of employees who judge their co-workers by cleanliness.

The probability of X is:

P (X) = 0.65

The number of employees selected is:

n = 8

An unusual outcome, in probability theory, has a probability of occurrence less than or equal to 0.05.

Since outcomes 0 and 1 are contained in all the options, we will check for X = 2.

Compute the value of P (X = 2) as follows:

[tex]P(X=2)={8\choose 2}(0.65)^{2}(0.35)^{8-2}[/tex]

                [tex]=28\times 0.4225\times 0.001838265625\\=0.02175\\\approx 0.022<0.05[/tex]

So X = 2 is unusual.

Similarly check for X = 6, 7 and 8.

P (X = 6) = 0.2587 > 0.05

X = 6 not unusual

P (X = 7) = 0.1373 > 0.05

X = 7 not unusual

P (X = 8) = 0.0319

X = 8 is unusual.

Thus, the outcomes of this binomial distribution that would be considered unusual is {0, 1, 2, 8}.

mean marks of 100 students was 40.. It was discovered that 53 was misread as 83. Find the actual mean.

Total mean score = 40

[tex]mean \: = \frac{sum \: of \: observation}{number \: of \: observations} [/tex]

sum of observations

= mean × no of observations

= 40×100

= 4000

After the replacement, sum of new observation will be

=4000-83+53

= 3970

mean of new the observation will be

[tex] = \frac{3970}{100} [/tex]

[tex] = 39.7[/tex]

[Hence, the actual mean is 39.7]

Answer:

375/ 1000

Step-by-step explanation:

it is technically correct

Step-by-step explanation:

Convert 0.375 to a simplified fraction by setting up our equation like this:

[tex]\frac{375}{1000} =\frac{x}{y}[/tex]

Then, we find the GCF for both numbers, which is 125. So, we divide both numbers by 125.

[tex]\frac{375}{125}=3\\\\\frac{1000}{125}=8[/tex]

Our simplified fraction: 3/8.

To find more equivalent fractions, multiply the numerator and denominator by the same number (example: 2, 3).

Some fractions equal to 0.375:

[tex]\frac{3}{8}, \frac{6}{16}(*2), \frac{9}{24} (*3)[/tex]

I hope I've helped you out!

Answer:

(f*g)(x) = 4x⁵ - 16x³ + x² - 4

Step-by-step explanation:

To find (f*g)(x), you need to multiply f(x) with g(x).  Use FOIL to multiply.

f(x) = 0.5x² - 2

g(x) = 8x³ + 2

(f*g)(x) = (0.5x² - 2)(8x³ + 2)

(f*g)(x) = 4x⁵ + x² - 16x³ - 4

(f*g)(x) = 4x⁵ - 16x³ + x² - 4

Answer:

28 > x

Step-by-step explanation:

7>x/4

Multiply each side by 4

4*7 > x/4 *4

28 > x

Answer:

28 > x

Step-by-step explanation:

7>x/4

Multiply each side by 4

4*7 > x/4 *4

28 > x28 > x

Answer:

Step-by-step explanation:

First step plug the numbers into the equation.

-10/(5+2) = (-10/5) + (-10/2)

Solve both sides of the equation separately.

-10/(5+2) Use distributive property, multiply both 5 and 2 by -10.

= -50 + (-20) = -70

-10/5 + -10/2 Multiply the fractions so they can be added together.

-10/5*2 = -20/10  -10/2*5 = -50/10

-20/10 + -50/10 = -70

Now you have solved both equations and they are both equal to -70, so you have verified that the equations are equal to each other because they both equal -70.

Answer:

Hey there!

a+b

34+(-6)

34-6

28

Let me know if this helps :)

you have to solve each one to get your answer and I think that your answer will be inside the circle

Answer:

This is called the Unit Circle. It is used in trigonometry. It had a radius of 1.

It helps you when using the trig function of sin cos and tan.

Hope this helps!!!!

Step-by-step explanation:

intercepts

y = x^2 - 9x + 20

y = (x - 5)(x - 4)

x-ints at (5, 0) and (4, 0)

y = (0 - 5)(0 - 4)

y = 20

y-int at (0, 20)

vertex

y = 1x^2 - 9x + 20

-b / 2a = 9/2(1)

vertex (4.5, y)

y = (x - 5)(x - 4)

y = (4.5 - 5)(4.5 - 4)

y = -0.5(0.5)

y = -0.25

vertex (4.5, -0.25)

i recommend using desmos if in the future you need help

Answer:

5th option

Step-by-step explanation:

The secant- tangent angle DCB is half the difference of the intercepted arcs, that is

∠ 1 = [tex]\frac{1}{2}[/tex] ( AD - BD)

P( A U B) = 37/50

Step-by-step explanation:

7/20+3/5+21/100

IF YOU NEED MORE HELP LMK

If you can please mark this as the brainliest

Cost of skateboard : $60

Cost of each lemonade = $1.50

Total glasses of lemonade to be sold = 60/1.5

= 60/15×10

= 4×10

= 40

Therefore she has to sell 40 glasses of lemonade

Must click thanks and mark brainliest

Step-by-step explanation:

[tex] \frac{6a + 18b - 12c}{6} \\ = \frac{6a}{6} + \frac{18b}{6} - \frac{12c}{6} \\ = a + 3b - 2c \\ thank \: you[/tex]

Answer:

Roughly 20.4%

Step-by-step explanation:

Use the formula of percent of error:

| Actual number - Guess / Actual number | (100)

The actual number is 108 and the guessed number is 86:

| 108 - 86 / 108 | (100)

= | 22/108 | (100)

= | 0.2037037037 | (100)

The vertical lines indicate absolute value.  This means that anything inside of it must be turned into its positive form.  Since it is already positive, just take the signs away:

0.2037037037(100)

≈ 0.204(100)

= 20.4

Turn this into a percent:

20.4%

Martha's percent of error is 20.4%

Please tell me if I was right or not.  I really hope this helps!

The required coordinate of A will be at (-4, 0)

When a point bisects a line, it cuts the line into two equal parts and the point on that line is known as its midpoint. The expression for calculating the midpoint of a line is expressed as;

[tex]M(X, Y)= [{ \frac{x_2+x_1}{2} , \frac{y_2+y_1}{2} ][/tex] where:

[tex]X =\frac{x_2+x_1}{2} \\Y=\frac{y_2+y_1}{2}[/tex]

From the question, we are given the following coordinate points

[tex]X=-2\\x_1=0\\[/tex]

Get x₂;

[tex]X =\frac{x_2+x_1}{2}\\-2 =\frac{x_2+0}{2}\\2 \times -2=x_2+0\\-4=x_2\\ Swap\\x_2=-4\\[/tex]

Get y₂;

[tex]Y =\frac{y_2+y_1}{2}\\1 =\frac{y_2+2}{2}\\2 \times 1=y_2+2\\2=y_2+2\\y_2=2-2\\y_2=0[/tex]

Hence the coordinate of A will be (-4, 0)

Learn more about the midpoint here: https://brainly.com/question/18315903

Answer:

34 feet

Step-by-step explanation:

let length of ladder be x

[tex] \ \sin(34) = \frac{17}{x} [/tex]

[tex]x \sin(34) = 17[/tex]

[tex]x = \frac{17}{ \sin(34) } [/tex]

x = 32.131083564

Answer:

The correct option is;

Yes because AC ≅ AC, ∠B ≅ ∠D, and AD and BC are parallel.

Step-by-step explanation:

Based on the the given information

The number of congruent sides = One  which is AC is congruent to AC which is the reflexive property

The number of given congruent angles = One which is angle ∠ABC is congruent to ∠ADC

However, where angle ∠ABC is congruent to ∠ADC, we have AD is parallel to BC, therefore, ∠BAC is congruent to ∠DCB, and BA is parallel to CD, therefore AD is congruent to BC and DC is congruent to AB

Therefore the correct option is yes because AC ≅ AC, ∠B ≅ ∠D, and AD and BC are parallel.

Answer:

9.35

Step-by-step explanation:

Using basic trigonometric ratios,

tan X° = opposite/adjacent

but,X° = 12°

opposite = AC.

adjacent = 44

tan X° = AC/44

AC = tan(12°) × 44

AC = 9.35

Answer:

Step-by-step explanation:

a) 4/9*x^4

b) 2/y

Answer:

B  -150.

Step-by-step explanation:

The minimum value of a sine is -1

So the answer is 15 * - 1 = -150.

Answer:

-150

Step-by-step explanation:

F(x)=150•sin(3•x)

The minimum that sin takes is negative 1

so 150(-1) = -150

The minimum of f(x)  is -150

Answer:

c

Step-by-step explanation:

Answer:

A. Proper fractions have a greater numerator than denominator.

Answer:

The steps to construct a a line parallel to another line from a point includes

1) From the given line draw a transversal through the point

2) With the compass, copy the angle formed between the transversal and the given line to the point P

3) Draw a line through the intersection of the arcs of the angle construction to get the parallel line through the point P

Step-by-step explanation:

Answer:

  A 2-column table with 4 rows. The first column is labeled x with entries negative 3, negative 2, negative 1, 0. The second column is labeled f of x with entries 2, 0, negative 10, negative 24.

Step-by-step explanation:

The table shown in the attachment has the function that is decreasing in the interval of interest.

"Decreasing" means that for increasing x-values, each f(x) value is less than the one before.

Answer:

The answer is C

Step-by-step explanation:

I just took the test and got it right.

Hopefully this helps you :)

pls mark brainlest ;)

The correct answers are Losing 12; Winning 15

Explanation:

The ratio of winning to losing is 5: 6 or 5/6. This means for every 5 winning spaces in the wheel there are 6 losing spaces. This ration should be used to complete the values of the table.

1. The first row shows there are 10 winning and you need to calculate the number of losing spaces. The process is shown below.

[tex]\frac{5}{6} = \frac{10}{x}[/tex] - Express the ratios using fractions; use x to show the missing value

[tex]5x = 60[/tex] - Cross multiply to find the value of x

[tex]x = 60 / 5[/tex] - Solve the equation to find x

[tex]x = 12[/tex] - The number of losing is 12 if there are 10 winning spaces

2. The second row shows there are 18 losing spaces, and you need to calculate the number of winning spaces. Repeat the process.

[tex]\frac{5}{6} = \frac{x}{18}[/tex]

[tex]6x = 90[/tex]

[tex]x = 90 / 6[/tex]

[tex]x =15[/tex] - The number of winning spaces is 15 if there are 18 losing spaces

Answer:

22 and 15 i know because i got it right on khan

Step-by-step explanation:

Please mark mine the brainliest !!

Answer:

B. x = 10, y= 2

Step-by-step explanation:

10 plus 2 is 12 and when 2 is doubled and then subtracted from 10, the difference is 6

Answer:

A

B

D

E

F

Step-by-step explanation:

26 can be also written as 26/1 or 52/2 or ...

so, it is part of the rational numbers.

it is clearly a natural number (1, 2, 3, 4, ...).

it is also an integer (... , -2, -1, 0, 1, 2, 3, ...).

it is a whole number (0, 1, 2, 3, 4, ...)

and it is a real number, as it can be written as 26.0. real numbers are the superset of all these mentioned sets of numbers.

but it is NOT an irrational number, as they have infinite digits after the decimal point without any repeating pattern.

in other words, any number that is a member of the rational numbers cannot be an irrational number. and vice versa.

Answer:

$5436.82

Step-by-step explanation:

8000 = P(1 + .039/2)^10*2

[tex]\frac{8000}{\left(1+\left(\frac{0.039}{2}\right)\right)^{20}}=5436.82538[/tex]

Answer:

D

Step-by-step explanation:

7 3 5 2

x     4 8

-----------

352,896

Hey There!!~

Because, First thing to do is mulpity 2 x 8 = 16 so, You bring the 6 and bring up the 1. Then, 5 x 8 = 40 + 1 = 41. So, we bring down the 1 and bring up the 4. Then, 3 x 8 = 24 + 4 = 28. Then, The same thing bring down the 8 and let the 2 stay up there. 7 x 8 = 56 + 2 = 58. So, Right now the answer is 58, 816. So, We just completed the first step, But we're are not done yet... 4 x 2 = 8. Then, 5 x 4 = 20. So, we bring down the 0 and bring up the 2. Then, 4 x 3 = 12 + 2 = 14. So, The 4 stay down and 1 goes up. Then, 7 x 4 = 28 + 1 = 29. So, we just completed the second step. The last step is to add 58, 816 + 29, 408 = 352, 896. Hope This helps!!