Show work
4.87 x 7.23

Answer:

3 is les than 3.58

Step-by-step explanation:

3 is less than 3.58

Answer:

3.57

Step-by-step explanation:

Answer:

a) 0.1769 = 17.69% probability that both professors get their grants funded.

b) 0.7231 = 72.31% probability that at least one of the professors will be funded.

c) 0.4331 = 43.31% probability that Professor Jane is funded but Professor Joe is not.

d) 0.5989 = 59.89% probability that Professor Jane is funded but Professor Joe is not

Step-by-step explanation:

a. What is the probability that both professors get their grants funded?

Jane has a 0.61 probability of being funded.

Joe has a 0.29 probability of being funded.

So

[tex]p = 0.61*0.29 = 0.1769[/tex]

0.1769 = 17.69% probability that both professors get their grants funded.

b. What is the probability that at least one of the professors will be funded?

None:

Jane has a 1 - 0.61 = 0.39 probability of not being funded.

Joe has a 1 - 0.29 = 0.71 probability of not being funded.

0.39*0.71 = 0.2769

At least one:

1 - 0.2769 = 0.7231

0.7231 = 72.31% probability that at least one of the professors will be funded.

c. What is the probability that Professor Jane is funded but Professor Joe is not?

Jane has a 0.61 probability of being funded.

Joe has a 1 - 0.29 = 0.71 probability of not being funded.

0.61*0.71 = 0.4331

0.4331 = 43.31% probability that Professor Jane is funded but Professor Joe is not.

d. Given at least one of the professors is funded, what is the probability that Professor Jane is funded but Professor Joe is not?

0.4331/0.7231 = 0.5989

0.5989 = 59.89% probability that Professor Jane is funded but Professor Joe is not

Answer:

Identify the x-value in the ordered pair and plug it into the equation. When you simplify, if the y-value you get is the same as the y-value in the ordered pair, then that ordered pair is indeed a solution to the equation.

Step-by-step explanation:

Answer:

Start from (0,0) and do rise over run

Step-by-step explanation:

Rise 4

Run 3

For the III (3rd) quadrant use

Rise -4

Run -3

Answer:

make a closed dot on -1 and make the line go towards -5

Step-by-step explanation:

Answer:

720 boxes of crayons

Step-by-step explanation:

15 x 48 = 720

Answer: They don`t have anything in different  they both have 4 and they both have 6

Step-by-step explanation: I don`t know  I just saw it and knew that there was nothing different.

Answer:

We reject H0; that there is significant evidence to support that there is difference in the variation in the listening times for men and women

Step-by-step explanation:

Given that :

n1 = 10 ; s1 = 13 ; n2 = 16 ; s2 = 14 ; α = 0.1

Null : H0 : σ1² = σ2²

Alternative : H1 : σ1² ≠ σ2²

To compute the test statistic ; using the Ftest:

F-test = σ2² / σ1² = 14² / 13²

F-test = 14²/13² = 196 / 169 = 1.1597

Decision region :

Reject Null, H0 ; if

Ftest < Fcritical

F critical at:

At α/2 = 0.10/2 = 0.05

df_numerator = 16 - 1 = 15

df_denominator = 10 - 1 = 9

Using F critical calculator :

Fcritical = 3.006

1.1597 < 3.006

Since, Ftest is lesser than Fcritical, then we reject H0

Answer:

x=12

y=12√3

Step-by-step explanation:

I've attached the same picture from before because it gives you the answer

we can see that the hyptonouse is equal to 2a which means that

2a=24

which means that a=12

We see that the side opposite to the 30 is equal to a so

x=12

and the side opposite to 60 is a√3

or

12√3

A = Lw (Area equal length times width)

A = 48 (the garden's area is 48 ft2)

L = w + 2

We have values for our variables, so let's plug them in:

48 = w(w + 2)

Distribute:

48 = w2 + 2w

Subtract 48 from both sides:

0 = w2 + 2w - 48

AS you can see, we now have a quadratic. From here we need:

m + n = 2 and

m * n  = -48

When we break up the quadratic into (w + m)(w + n)

48 is an even number divisible by 3, so it'll be also be divisible by 6:

48 / 6 = 8

8 + (-6) = 2

8 * -6 = -48, so:

0 = (w + 8)(w - 6) →→ 0 = w + 8, or 0 = w - 6

w = -8 or 6

We can't have a negative width, so it cannot be -8, therefore, the width is 6 ft. I'm sure you can find the length from here.

(i hope this is right)

Answer:

2 x  + 12

Step-by-step explanation:

Answer:

2x+12

Step-by-step explanation:

Multiply 2 by 10, and multiply 2 by x and -4 since x and -4 are in the parenthesis you just have to multiply them both by 2 separately.

2(10) + 2(x – 4)

20+2x-8

Subtract 20 by 8

2x+20-8

Finally, you have your answer!

2x+12

Answer:

41.67

Step-by-step explanation:

1.) Set up a proprotion

[tex]\frac{5.6}{x}[/tex]=[tex]\frac{20}{x+30}[/tex]

2.) Next solve! Cross multiply.

so we get..

5.6(x+30)= 20x

5.6x+168= 20x

5.6x-20x= -168

x= 11.67

3.) We have found x, but they are asking us for the whole length of AB! So just add 30 to x or 11.67

x+ 30= length of AB

11.67+30= 41.67

There are for the length of AB is 41.67!

Answer:

G

Step-by-step explanation:

Hope this helps

Answer:

A. 4 3/4

B. 3 1/2

C. 3 1/4

D. 4 1/4

Answer:

I believe the correct answer is

X=0

Answer:

The resin materials cost per foot of finished product for June is $0.53

Option a) $0.53 is the right answer

Step-by-step explanation:  

Given the data in the question;

                                                       May                  June                          uly

Resin pounds input

into the process                        470,000            700,000                 650,000  

Price per pound                         X$1.50               X$1.50                    X$1.50

Plastic material costs             $493,000         $640,000                 $677,000

Conversion costs                    $80,000           $120,000                 $115,000

Conduit output from

the process (feet)                   800,000           1,200,000                 1,130,000

Assuming that there is one-half pound of resin per foot of the finished product, determine the resin materials cost per foot of finished product for June.

Now;  

Materials cost for June = $640,000

Number of Feet produced as output in June =  1,200,000    

so

Material Cost per feet of finished product will be;

= $640,000 / 1,200,000

= $0.5333 ≈ $0.53

Therefore, the resin materials cost per foot of finished product for June is $0.53

Option a) $0.53 is the right answer

Answer:

y=5x+4

Step-by-step explanation:

Answer:

Step-by-step explanation:

"a number is multiplied by 7" can be represented by 7x

"25 is added to twice the number" can be represented by 2x+25

7x = 2x+25

5x = 25

x = 5

The number is 5 if  a number is multiplied by 7, the result is the same as when 25 is added to twice the number.

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

Let's suppose the number is x:

From the problem, we can model a linear equation in one variable.

7x = 2x + 25

5x = 25

x = 5

Thus, the number is 5 if  a number is multiplied by 7, the result is the same as when 25 is added to twice the number.

Learn more about the linear equation here:

brainly.com/question/11897796

#SPJ2

Answer:

8 cups of flour

1 3/4 cups of water

hope it helped!

Answer:

a. 28yds

7*4 = 28yd

b. 36yds

9*4= 36yd

c. 1,008yds

28*36 = 1,008yd

hope this helps, good luck :)

Step-by-step explanation:

The Distributive Property is easy to remember, if you recall that "multiplication distributes over addition". Formally, they write this property as "a(b + c) = ab + ac". In numbers, this means, for example, that 2(3 + 4) = 2×3 + 2×4.

Answer:

C

Step-by-step explanation:

because it's going to the higher numbers

Answer:

The answer is C: greater than 2

I’m forced to write an explanation, sorry for the useless text

The probability tree has been drawn below and the  probability that Lyn

walks at least one way is 0.88 is when she reaches the shop by bus and from the bus, she walks.

The probability of an event occurring is defined by probability.

Do not take underestimate probability it has several uses in daily life whether forecasts like that.

As per the given probability tree,

(a)

The probability in branches adds to 1 thus,

0.2 + probability that she walks to the shop = 1

Probability that she walks to the shop  = 1 - 0.2 = 0.8

The probability in the same branches multiplies as,

The probability that she took a bus to the shop x from the bus she again took the bus.

Similarly, the tree diagram has been drawn below.

(b)

The probability is 0.88 lies in that Lyn walks at least one way 0.88 is when she reaches the shop by bus and from the bus, she walks.

Hence "walks at least one way is 0.88 is when she reaches the shop by bus and from the bus, she walks".

For more information about the probability,

brainly.com/question/11234923

#SPJ2

Answer:b

Step-by-step explanation:

Answer and Step-by-step explanation:

First, we need to know what the formula is for finding the volume of a rectangular prism.

The volume formula for a rectangular prism is as follows:

V = b (base) * w (width) * h (height)

Essentially, we just take the height, base, and width, and multiply them together. Order doesn't matter here.

So, let's multiply 8 by 8 by 4.

8 * 8 * 4 = V

64 * 4 = V

256 = V

256 [tex]in^{3}[/tex] is the answer.

#teamtrees #PAW (Plant and Water)