5. The owners of a two-person business make their decisions independently of each other and then compare their decisions. If they agree, the decision is made; if they do not agree, then further consideration is necessary before a decision is reached. The first owner makes the right decision 60% of the time; the second - 70% of the time. Enter your answers as decimals. 5(a) What is the probability that they make the right decision on the first try. 5(b) What is the probability that they make the wrong decision on the first try. 5(c) What is the probability that they delay the decision for further study.

There are 175 cubic unit initially in the tank

The table of values is given as:

Time (minutes)     Amount of Water

1                              150

3                             100

6                             25

Calculate the slope (m) of the table using:

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

This gives

m = (100 - 150)/(3 -1)

Evaluate

m = -25

This means that as the time increases by 1, the amount of the water reduces by 25 cubic unit

When x = 1, y = 150

So, we have:

x = 1 - 1 when y = 150 - (-25)

This gives

x = 0 when y = 175

Hence, there are 175 cubic unit initially in the tank

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Answer:

-20

Step-by-step explanation:

Complete the square to find the vertex of this parablola x^2-8x-y-4=0   {the second one of -20; so 4,-20}

Step-by-step explanation:

The answer would be (4,-20)

Fill in 4 and -20

Answer:

the square root of 23 is 4.8 or if you need the longer one it's 4.79583152331

Answer:

z=529

Step-by-step explanation:

Let's solve your equation step-by-step.

√z=23

Solve Square Root.

√z=23

z=232(Square both sides)

z=529

Check answers. (Plug them in to make sure they work.)

z=529(Works in original equation)

Answer:

0.619 = 61.9% probability of choosing a professor or an instructor.

Step-by-step explanation:

A probability is given by the number of desired outcomes divided by the number of total outcomes.

In this question, we have that:

7 + 4 + 4 + 6 = 21 members

7 + 6 = 13 professors or instructors.

Find the probability of choosing a professor or an instructor.

p = 13/21 = 0.619

0.619 = 61.9% probability of choosing a professor or an instructor.

Answer:

5,8  8,3

Step-by-step explanation:

hoped this helped <33

Step-by-step explanation:

Height of real/height of scale=ratio of scale

193/x=75/1

x=2.6

Hope that helps :)

Answer:

You use distance and slope formula to classify a quadrilateral by using the x and y coordinates of the quadrilateral. Boom

Step-by-step explanation:

Answer:

each person will get half of a brownie

Step-by-step explanation:

4 divided by 8 is 1/2 so you'll have to split each brownie in half and give each person half

Answer:

That’s just your millennial snowflake brain being unable to comprehend real work. My grandpa lost both his thumbs to frostbite while walking 29.67 kilomiles to school in 10 feet of snow in the summer uphill both ways and he could still wield any tool known to man. And he did so for 83 and a half years until they forced him to retire because he was making all the other workers look like pansies. When he was told he was being forced to retire, he marched into the CEO’s office and declared “I’d rather be dead than a deadbeat.” Then he dropped dead on the spot. Now that’s loyalty!

Answer:

I think it's false

Step-by-step explanation

Answer:

(10-4)*4+8

=6*4+8

=24+8

=32

Answer:

32

Step-by-step explanation:

Following PEMDAS we first do the stuff in the parentheses and we get [tex]6x4+8[/tex]

Then since there are no exponents, we go straight to doing the multiplication and division, which leaves us with [tex]24+8[/tex].

Finally when we add the last 2 terms together we get our answer of 32.

Hope this helps!

Step-by-step explanation:

The given equation is :

2x = 10

We need to find the value of x.

This equation has one solution as it is a linear equation having one variable i.e. x.

Dividing both sides by 2,

x = 5

So, the value of x is equal to 5.

Put x = 5. So,

2(5) = 10

10 = 10

Hence, this is the required solution.

Answer:

1.86/2 = 0.93/2 = 0.465/2 = 0.2325

Step-by-step explanation:

Answer:

0.75 .................

Answer:

it is biased

Step-by-step explanation:

Answer:

24 blue cars

Step-by-step explanation:

In this problem, one is given the ratio of red to blue cars in the parking lot. One is given the actual number of red cars, and one is asked to find the number of blue cars. One can set up a proportion; ratio to actual, then solve to find the number of actual blue cars using the method of cross-products. One can set up the proportion using the ratios, but it is easier to express the proportion as the equality of two fractions. Thus, the following equation can be formed, let the parameter (x) represent the actual amount of blue cars;

[tex]\frac{red}{blue}= \frac{5}{3} = \frac{40}{x}[/tex]

Cross products,

[tex]5x = 120[/tex]

Inverse operations,

[tex]x = 24[/tex]

Answer:

203 more minutes

We know she swam 154 min in first week.

And in two weeks she swam 357 minutes.

We need to figure out x (total of minutes swam in week two)

So do 357=x+154

Subtract 154 from both sides

x=203

Hope this helps

Answer:

F=55

E=70

Step-by-step explanation:

The total degree of a triangle is 180.

So we have 180-55*2

E=180-110

E=70

Answer:

9

Step-by-step explanation:

you would do 3+3+3 because there are 3 colors

And i just got it right on my quiz.

There will be 9 branches in the tree diagram of the situation.

In probability theory, tree diagrams can be used to represent probability spaces. A tree diagram can represent a set of independent events or conditional probabilities. Each node in the graph represents an event and is associated with the probability of that event.

Given,

A spinner of three sections colored green, purple and pink.

Number of outcomes = 3

spinner is spun twice,

then number of outcomes = 3 × 3 = 9

Number of branches in tree = 9

Hence, 9 branches will be there in probability tree diagram.

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Answer:

No its not

Step-by-step explanation:

13.603 is more then 13.068  

Answer:

7.8 months but you can round it to 8 months

Step-by-step explanation:

Answer:

0

Step-by-step explanation:

am not sure, , have not studied

Answer:

$6,800

Step-by-step explanation:

The interest earn after 5 years will be $6800.

It is given that Huang invests $720 into an annuity every month for five years and at end of 5 years balance was $50000.

We have to find out the interest earn.

What do you mean by interest ?

Interest is an additional amount of money that is paid by the bank to customer on the amount deposited in his account.

As per the question ;

Investment made by Huang = $720 for five years

At end of five years , account balance = $50000.

So ;

Five years = 60 months

and the investment is an annuity every month for five years.

If Huang invests $720 every month for 5 years then total investment is ;

= $720 × 60

= $43200

And account balance at end of 5 years = $ 50000

So ;

Interest earn will be ;

= $50000 - $43200

= $6800

Thus , the interest earn after 5 years will be $6800.

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Answer:

  7(1 +3x)

Step-by-step explanation:

The simplest monomial is a constant that is a prime number. That constant is a factor of the coefficient of the only other monomial in the expression, so it can factored from both terms.

  = 7 + 7·3x

  = 7(1 +3x)

Answer:

then only 2 rows are full

Step-by-step explanation:

im confused but if thats it then thats the answer if im right mark me brainliest

:>

Answer:

16days

Step-by-step explanation:

This is an inverse proportionality

Let the number of men be m

Let the time taken in days be d

Hence m ∝ 1/d

m = k/d

If 8 men can complete the project in 24 days, then;

8 = k/24

k = 8*24

k = 192

To determine the time it will take 12 men to complete the same job, we will say;

m = k/d

12 = 192/d

d = 192/12

d = 16

Hence it will take 12men 16days to finish the same job

9514 1404 393

Answer:

  (c)  more than one

Step-by-step explanation:

The shape of the triangle is specified by its angles, but not its size. An infinite number of triangles of various sizes can be constructed with those angles. The appropriate choice is ...

  more than one