Tyler wants to calculate his grade in his accounting class. His test grades are a 77%, 62% 85%, 80%. What is his average in the class?

Answer:

The  correct option is  B

Step-by-step explanation:

From the question we are told that

  The null hypothesis is  [tex]H_o : p = 0.10[/tex]

   The alternative hypothesis is  [tex]H_a : p > 0.10[/tex]

   The  p-value  is  [tex]p-value = 0.09[/tex]

   The  level of  significance is  [tex]\alpha = 0.025[/tex]

From the given values [tex]p-value > \alpha[/tex] so we fail to reject the null hypothesis

So there is NOT sufficient evidence to conclude the proportion of work time linguists study a new language is more than 10%.

Answer:

There are 24 different ways using the letters from "math" can be rearranged.

Hopefully this helps! :)

Answer:

Step-by-step explanation:

[tex]2\sqrt{8}+\sqrt{8}\\\\\mathrm{Add\:similar\:elements:}\:2\sqrt{8}+\sqrt{8}=3\sqrt{8}\\\sqrt{8}=2\sqrt{2}\\\\=3\times\:2\sqrt{2}\\\\=6\sqrt{2}[/tex]

Answer: 50 grams

Step-by-step explanation:

11=0.22 a

A =50

Answer:

a) 1 - ∑²⁰ˣ_k=0 ((e^-λ) × λ^k) / k!

b) 1 - ∑^(80x/d)_k=0 ((e^-λ) × λ^k) / k!

c) ∑²⁰ˣ_k=0 (3^k)/k! = 0.99e³

Step-by-step explanation:  

Given that;

if n ⇒ ∞

p ⇒ 0

⇒ np = Constant = λ,  we can apply poisson approximation

⇒ Here 'p' is small ( p=0.01)

⇒ if (n=large) we can approximate it as prior distribution

⇒ let the number of defective items be d

so p(d) = ((e^-λ) × λ) / d!

NOW

a)

Let there be x number of repairs, So they will repair 20x machines on time. So if the number of defective machine is greater than 20x they can not repair it on time.

λ[n0.01]

p[ d > 20x ] = 1 - [ d ≤ 20x ]

= 1 - ∑²⁰ˣ_k=0 ((e^-λ) × λ^k) / k!

b)

Similarly in this case if number of machines d > 80x/3;

Then it can not be repaired in time

p[ d > 80x/3 ]

1 - ∑^(80x/d)_k=0 ((e^-λ) × λ^k) / k!

c)

n = 300, lets do it for first case i.e;

p [ d > 20x } ≤ 0.01

1 - ∑²⁰ˣ_k=0 ((e^-λ) × λ^k) / k! = 0.01

⇒ ∑²⁰ˣ_k=0 ((e^-λ) × λ^k) / k! = 0.99

⇒ ∑²⁰ˣ_k=0 (λ^k)/k! = 0.99e^λ

∑²⁰ˣ_k=0 (3^k)/k! = 0.99e³

Answer:

2C - 58

Step-by-step explanation:

Chrissy = C

=> 2C - 58

I wrote 2C - 58 because 58 is decreased from 2 times C

=> 2 times C = 2C

=> 58 decreased = -58

=> 2C - 58

Answer:

michelle made more money

Step-by-step explanation:

Answer: D. The data are continuous because the data can take on any value in an interval.

Step-by-step explanation: When distinguishing between quantitative variables, they could be classed as either discreet or continuous. This difference between a discreet and continuous variable lies in whether the variable has a finite number of values or not. When a variable can only take up a certain number of values usually while numbers within a certain interval, then such varibak eis said to be finite. On the other hand variables which can take up any value within an interval are said to be continuous as they can take up an uncountable number of values within an interval. When weight is being recorded, it could take up an infinite number of values including decimal within an interval making it difficult to ascertain the number of possible values within the interval.

Complete Question

Professor Jin wants to travel from place A to place B without a map. There are four ways lead away from place A. If road I is selected, the probability of arriving place B is 1/8; if road II is selected, the probability of arriving place B is 1/6; if road III is selected, the probability of arriving place B is 1/4; and if road IV is selected,the probability of arriving place B is 9/10.

(a) What is the probability that professor will arrive at place B?

(b) If Professor Jin arrives at place B, what is the probability that she chooses road IV?

Answer:

a

  [tex]P(B) = 0.36[/tex]

b

  [tex]P(4 /B) = 0.62[/tex]

Step-by-step explanation:

From the question we are told that

  The number of ways from A to B is  n =  4

   The  probability if road 1 is selected is  [tex]P(1) = \frac{1}{8}[/tex]

   The  probability if road 2 is selected is  [tex]P(2) = \frac{1}{6}[/tex]

    The  probability if road 3 is selected is [tex]P(3) = \frac{1}{4}[/tex]

    he  probability if road 4 is selected is [tex]P(4) = \frac{9}{10}[/tex]

The probability that professor will arrive at place B is mathematically represented as

      [tex]P(B) = \frac{1}{n} * P(1) + \frac{1}{n} * P(2) + \frac{1}{n} * P(3)+ \frac{1}{n} * P(4)[/tex]

      [tex]P(B) = \frac{1}{4} * \frac{1}{8} + \frac{1}{4} * \frac{1}{6} + \frac{1}{4} * \frac{1}{4} + \frac{1}{4} * \frac{9}{10}[/tex]

      [tex]P(B) = 0.36[/tex]

If Professor Jin arrives at place B, what is the probability that she chooses road IV is mathematically represented as

      [tex]P(4 /B) = \frac{ \frac{1}{n} * P(4)}{P(B)}[/tex]

=>     [tex]P(4 /B) = \frac{ \frac{1}{4} * \frac{9}{10} }{0.36}[/tex]

=>      [tex]P(4 /B) = 0.62[/tex]

Answer:

terminating decimals

Step-by-step explanation:

All of the fractions (4/5, 1/2) can go into 100 so they are all termination

and 34.2 is a terminating decimal.

12 is also terminating

Answer:

[tex] x^2 - 12x [/tex]

Step-by-step explanation:

The given rectangle had a length (l) of (x - 12), and a width (w) of x.

Area of rectangle = [tex] l * w [/tex]

Therefore, the expression representing the are if the given rectangle is:

[tex] Area_{rectangle} = (x - 12)*x [/tex]

[tex] Area_{rectangle} = x*x - 12*x [/tex]

[tex] Area_{rectangle} = x^2 - 12x [/tex]

The expression for the area = [tex] x^2 - 12x [/tex]

Answer:

[tex]23-4\sqrt{15}[/tex]

Step-by-step explanation:

So we want to simplify:

[tex](2\sqrt5-\sqrt3)^2[/tex]

Note that this is in the format:

[tex](a-b)^2[/tex]

And we know that this is the same as:

[tex](a-b)^2=a^2-2ab+b^2[/tex]

Let 2√5 be a and let √3 be b. Thus:

[tex](2\sqrt5-\sqrt3)^2\\=(2\sqrt5)^2-2(2\sqrt5)(\sqrt3)+(\sqrt3)^2[/tex]

Simplify:

[tex]=(4(5))-4(\sqrt5)(\sqrt3)+(3)\\=20-4\sqrt{15}+3\\=23-4\sqrt{15}[/tex]

And this cannot be simplified any further.

Answer:

5 Green earrings

Step-by-step explanation:

Given that:

Total amount held = $51

Cost per pair of green earrings = $9

One time shipping fee = $6

How many pairs of green earrings did grace purchase?

Let the number of green earrings purchased = g

Then,

$9*g + $6 = $51

$9g + $6 = $51

$9g = $51 - $6

$9g = $45

g = $45 / $9

g = 5

Hence, the number of green earrings purchased = 5

[tex]\Large \boxed{\sf \bf \ \ \lim_{x\rightarrow0} \ {\dfrac{sin(4x)-4sin(x)}{x^3}}=-10 \ \ }[/tex]

Step-by-step explanation:

Hello, please consider the following.

Using Maclaurin series expansion, we can find an equivalent of sin(x) in the neighbourhood of 0.

[tex]sin(x) \sim \left(x-\dfrac{x^3}{3!}\right)\\\\\text{So, in the neighbourhood of 0}\\\\\begin{aligned}(sin(4x)-4sin(x)) &\sim \left( 4x-\dfrac{(4x)^3}{3!}-4x+\dfrac{4x^3}{3!}\right)\\\\&\sim \left(\dfrac{x^3*4*(1-4^2)}{3*2}\right)\\\\&\sim \left(\dfrac{x^3*2*(-15)}{3}\right)\\\\&\sim \left(x^3*2*(-5)\right)\\\\&\sim \left(x^3*(-10)\right)\\\end{aligned}[/tex]

Then,

[tex]\displaystyle \lim_{x\rightarrow0} \ {\dfrac{sin(4x)-4sin(x)}{x^3}}\\\\= \lim_{x\rightarrow0} \ {\dfrac{-10*x^3}{x^3}}\\\\=-10[/tex]

Thank you

Answer:

-10

Step-by-step explanation:

L' Hopital's rule can be used to solve it.

We search for lim (f(x)/g(x))

this is the same as lim (f' (x)/g' (x))

this is the same as lim f'' (x)/g'' (x)

so here we have f(x) =sin(4x)-4sin(x)

g(x)=x^3

g'' (x)= 6x

f'' (x)=-16sin(4x)+4sin(x)

so lim f'' (x) / g ''(x) = -16/6 lim sin(4x)/x + 4/6 lim (sin(x)/x)

= -16*4/6+4/6

=(-64+4)/6=-60/6=-10

Answer:

36.15 miles, 12.05 miles on one gallon

Step-by-step explanation:

4hours=144.6 miles

1 hour= x

Therefore it traveled 36.15 miles per hour.

12 gallon = 144.6 miles.

1 gallon = x

12.05 miles on one gallon

Answer: y=-8/5x+2

Step-by-step explanation:

The equation for slope-intercept form is y=mx+b. We know that m is the slope and b is the y-intercept. We can determine that b=2 because the y-intercept passes through the y-axis. This line passes through the y-axis at y=2. Now, all we have to do is find the slope. We can do that by using any two points on the graph. Let's use (-5,10) and (5,-6). The formula for slope is [tex]m=\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex].

[tex]m=\frac{-6-10}{5-(-5)} =\frac{-16}{10} =-\frac{8}{5}[/tex]

With our slope, we can piece together the slope-intercept form equation.

y=-8/5x+2

Answer:

Step-by-step explanation:

Let A,B, and C be the respective events that the first, second, and third drawn orange is good.

Therefore, probability that first drawn orange is good, P(A)=

15

12

​

The oranges are not replaced.

Therefore, probability of getting second orange good, P(B)=

14

11

​

Similarly, probability of getting third orange good, P(C)=

13

10

​

The box is approved for sale if all the three oranges are good.

Thus, probability of getting all the oranges good =

15

12

​

×

14

11

​

×

13

10

​

=

91

44

​

=0.48

Therefore, the probability that the box is approved for sale is 0.48

Answer:i

i) 7/15

ii) 7/15

Step-by-step explanation:

total: 10

good: 7

bad: 3

i) both are good

p(both good) = 7/10 * 6/9 = 42/90 = 7/15

ii) one good & one bad

p(first good & second bad) = 7/10 * 3/9 = 21/90 = 7/30

p(first bad & second good) = 3/10 * 7/9 = 21/90 = 7/30

p(one good & one bad) = 7/30 + 7/30 = 14/30 = 7/15

Answer:

C. Integer

Step-by-step explanation: Since the square root of 144 could either be -12 or 12, so it is an integer.

Answer:

i think the answer is b by far

Answer:B

Step-by-step explanation : DEF will be reflected across a line such that all of vertices of triangle D’E’F are in there own quadrant ways. The line of reflection is used to form triangle D’E’F’.

The line of reflection is  (B. x = 0 )

Answer:

The answer is B, don't listen to the dude that said is A... A is wrong

Step-by-step explanation:

De nada :)

There are 4 coordinates which means we can make 4 points on the graph.

4 points is the correct answer.

Given,

Kelsey is going to graph the ordered pairs that are represented by this table on a coordinate plane.

______________

|x| – 6 | –4   |  3  | 5|

|y| –4  | –6   | –6 | 0|

We need to find how many points should appear in Kelsey’s graph.

Coordinates are the points in a given plane.

The plane can be a two-dimensional plane or a three-dimensional plane.

In a two-dimensional plane the coordinates are represented as:

(x, y).

In a three-dimensional plane the coordinates are represented as:

(x, y, z).

Find the coordinates from the given table.

We have,

There are four x values and four y values.

So,

(x, y) = { (-6, -4), (-4, -6), (3, -6), (5, 0) }

We see that we can make 4 coordinates in the coordinate plane.

Thus there are 4 coordinates which means we can make 4 points on the graph.

Learn more about matching the coordinates with the points on the coordinate plane here:

#SPJ2

Answer:

  the marked choice is correct

Step-by-step explanation:

It usually works well to follow directions: use technology. The attachment shows the use of the technology I like for short regression problems. For longer problems, a spreadsheet program is a good choice.

_____

In this problem, it is easy to eliminate the nonsensical answers, so no real use of technology is necessary.

First of all, the y-value for x=0 needs to be near 48, eliminating the last two choices.

Second, the minimum of the function corresponds to a positive x-value, so the coefficient of the x-term must have opposite sign from the coefficient of the x^2 term. This eliminates the second choice, leaving the marked choice as the only viable one.

Answer:

y = -5x + 1

Step-by-step explanation:

Y= mx +b

m = slope

b = y-intercept

y =  -5x + 1

Answer:

y = -5x + 1

Step-by-step explanation:

Seeing the words "slope" and "y-intercept," I jump immediately to the slope-intercept form of the equation of a straight line:  y = mx + b.

Here we have m = -5 and b = 1:

y = -5x + 1

Answer:

(x - 5)(x - 3)

Step-by-step explanation:

Step 1: Write out expression

x² - 8x + 15

Step 2: Factor

(x - 5)(x - 3)

Answer:

16p

Direction: positive/upward direction

Step-by-step explanation:

First, the function is f(x,y) = 4ypx

At the point where x=4 and y=1, the maximum rate of change of the function f(x,y) is

4(1)p(4) = 16p

The direction in which it occurs is the positive(upward) direction

Answer:

it has to be 45.1.

Step-by-step explanation:

The reason why its 45.1 is because I added the equation all together including the negative number. I out that one in parentheses right next to the plus sign of 18.6. then added the last 2 numbers. and get 45.1. I'm not really good with stop by step explanations to be honest.

:(

Answer:

angle ABD=1/2 angle ABC ,Angle CBD =1/2 angleCBD

Step-by-step explanation:

The measure of angles ∠ABD= 67°, m∠CBD= 67° and m∠ABC= 134°.

We have,

BD bisects the angle ABC makes two  equal halves angle.

So, < ABD= < CBD.

and ∠ABD= (8x + 35)°

∠CBD= (11x + 23)°

Substituting the values of the angles

(8x + 35)° = (11x + 23)°

35-23 = 11x- 8x

3x= 12

x= 4.

Putting x=4 in (i) we have,

∠ABD= 8(4) + 35

∠ABD= 67°

As ∠ABD = ∠CBD,

∠CBD= 67°

Now, ∠ABC= ∠ABD + ∠CBD

∠ABC= 67° + 67°

∠ABC= 134°.

Hence, the measure of m∠ABD= 67°, m∠CBD= 67° and m∠ABC= 134°.

Learn more about Angular bisector here:

https://brainly.com/question/12896755

#SPJ7

Answer:

5

Step-by-step explanation:

Given the following :

Number of workers - - TVs produced

0 - - - - - - - - - - - - - - - - - 0

1 - - - - - - - - - - - - - - - - - - 35

2 - - - - - - - - - - - - - - - - - 68

3 - - - - - - - - - - - - - - - - - - 99

4 - - - - - - - - - - - - - - - - - - 128

5 - - - - - - - - - - - - - - - - - - 155

We need to calculate the marginal product :

Workers - - - marginal product - - - value of m/p

0 - - - - - - - - - - - ____ - - - - - - - - - - - - - - __

1 - - - - - - - - - - - 35 (35 - 0) - - - - - - 35000

2 - - - - - - - - - - - - 33 (68 - 35) - - - - 33000

3 - - - - - - - - - - - - 31 (99 - 68) - - - - - 31000

4 - - - - - - - - - - - - 29 (128 - 99) - - - - - 29000

5 - - - - - - - - - - - - 27 (155 - 128) - - - 27000

The marginal product shows the change in output due to one additional unit of a certain input of production, in this case, number of workers. If the going wage of workers is $16,000, the company can afford to hire up to 5 workers and still make profit.