Police stop a truck at a check post which claims to be carrying sacks of Humic Acid Sodium, a black, water-soluble fertilizer. When the truck is examined, it is found to have sacks of at least four different materials which the police label W, X, Y and Z. They suspect that apart from the fertilizer, the truck is carrying iron filings, gunpowder, and black powdered wood. They conduct some tests whose results are as follows:
The real question is to look at the table and find out which one is the gunpowder?

Answer:

1.5 minutes to fill a whole bottle.

Step-by-step explanation:

1. Based on the given information, set up a proportion;

Given;

1/6 of a bottle was filled in 1/4 minute

Equation;

1/6 : 1/4

2. Solve the equation;

1/6 : 1/4

Multiply both sides by 6, to make it such that the whole bottle is filled,

1/6 : 1/4

*6     *6

1 : 6/4

Simplify

1 : 3/2

1.5 minutes to fill a whole bottle.

Answer:20

Step-by-step explanation:

Answer:

n + 47

Step-by-step explanation:

Let n = Brian's age now.

In 47 years, he'll be 47 years older than he is now.

In 47 years, Brian will by n + 47 years old.

Answer: n + 47

The age of Brian after 47 years will be n + 47.

A relationship between two or more parameters that, when shown on a graph, produces a linear model. The degree of the variable will be one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

Brian is n years old.

Then the age of Brian after 47 years will be given as,

⇒ n + 47

The age of Brian after 47 years will be n + 47.

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Answer:

y = 148°

Step-by-step explanation:

4x - 18 = 2x + 12 (alternate exterior angles are congruent)

Collect like terms

4x - 18 = 2x + 12

4x - 2x = 18 + 12

2x = 20

Divide both sides by 2

x = 10

y = 180 - (2x + 12) (linear pair theorem)

Plug in the value of x

y = 180 - (2(10) + 12)

y = 180 - (20 + 12)

y = 148°

Answer:foooo

Step-by-step explanation:

Solution :

Number of different samples of two technicians possible is = 10, as 2 technicians are to be chosen from a total of 5 technicians.

a). Therefore, 10 different samples are possible of size two.

b).

        Sample                    Shut down         Mean

1. Taylor, Hurley                 4, 3                    3.5

2. Taylor, Gupta                 4, 5                    4.5

3. Taylor, Rousche             4,6                      5

4. Taylor, Huang                4, 3                    3.5

5. Hurley, Gupta                 3,5                       4

6. Hurley, Rousche             3,6                      4.5

7. Hurley, Huang                 3,3                       3

8. Gupta, Rousche              5,6                       5.5

9. Gupta, Huang                  5,3                       4

10. Rousche, Huang            6,3                      4.5  

                                                                        42

Now mean of sample means  [tex]$=\frac{42}{10}$[/tex]    = 4.2

Mean of population is = [tex]$\frac{4+3+5+6+3}{5}$[/tex]    = 4.2

Thus both the means are equal.

Step-by-step explanation:

Using Difference of Squares,

16y⁴ - 256x¹²

= 16(y⁴ - 16x¹²)

= 16(y² + 4x⁶)(y² - 4x⁶)

= 16(y² + 4x⁶)(y + 2x³)(y - 2x³).

Step-by-step explanation:

Answer:

The proportions differ significantly from those in the general population.

Step-by-step explanation:

We state our null and alternative hypotheses as

H0: p1= 49/100, p2= 38/100, p3= 9/100 and p4= 4/100 for a multinomial distribution involving four categories and n= 170

against

Ha: pi≠ pi0 for at least one value of i= 1,2,3,4

The significance level is set at ∝= 0.05

The test statistic under H0 is

χ² = ∑ (Oi- ei)²/ei

which has approximate chi square distribution with 3d.f  (n-1)

Computations: Under H0 the expected frequencies are

np10= Blood type O = 170 * 49/100= 83.3

np20 = Blood type A = 170 * 38/100= 64.6

np30 = Blood type B = 170 * 20/100= 11.76

np40 = Blood type AB = 170 * 4/100= 2.35

The value of χ² is computed as follows

Cell       Observed         Estimated        (Oi-ei)            (Oi-ei)²   (Oi-ei)²/ei

             Frequency      Frequency  

               Oi                    ei

1             87                        83.3               3.7               13.69        0.157

2            59                      64.6              -5.6                 31.36       0.531

3             20                     34                  -14                   196           9.8

4               4                      6.8                -2.8                  7.84         1.96      

∑             170                    188.7                                                  χ²= 12.43  

The critical region is χ²≥ χ²(0.05,3) = 7.82 for alpha = 0.05 and

χ²≥ χ²(0.01,3) = 11.34  for alpha = 0.01

As the calculated value lies in the critical region for both value of alpha we reject our null hypothesis and accept our alternate hypothesis. The proportions differ significantly from those in the general population.

Answer:

x = 9

Step-by-step explanation:

2x - 9 = x

2x - x = 9

x = 9

Answer:

The correct answer is 9.

Step-by-step explanation:

2x – 9= x <----- Here is the original problem.

2(9) – 9 = 9 <----- Replace the variables.

18 - 9 = 9 <----- Simplify the multiplication.

9 = 9 <----- This is a true statement.

Therefore, the correct answer is 9.

Hope this helps! :D

Answer:

Graph a

Step-by-step explanation:

the slope is proportional to the data

Graph A depicts the situation described above. Thus, option A is correct.  

The link across lines as well as points is described by a graph, which is a mathematical description of a connection. A graph is made up of certain points and connecting lines. It doesn't matter how long the lines are or where the terminals are located.

The population of fish in a pond grows slowly for the first few years after it is stocked, then levels off. A pollutant kills off almost all of the fish 20 years after stocking, then the population begins to grow again when the remaining fish reproduce which is represented in graph A.

If every pair of datasets is connected in the same fashion, by multiplying by a factor, then the connection is proportional. The slope of a line is the slope of the regression. Like the ratio constant, this slope shows how rapidly a quantity is rising or falling.

Therefore, option A is the correct option.

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Answer:

1/2

Step-by-step explanation:

Answer:

1/2

Step-by-step explanation:

1/2 is 6/12. 6/12 is close to 5/12 than the others.

Answer:

15 3/4

Step-by-step explanation:

this is simple addition and subtraction

Answer:240 visitors are at the zoo

Step-by-step explanation:

Answer:

54

Step-by-step explanation:

We can solve this problem by creating a chart from 9am to 12pm. Each hour we must "triple," meaning "multiply by 3."

9am-10am is 6 visitors

10am-11am is 6*3=18 visitors

11am-12pm is 18*3=54 visitors

Answer:

25% off

Step-by-step explanation:

$32 is 100%. 8 dollars was taken away, and since 8 is 1/4 of 32, we can divide 100% by 4 to get 25%. 25% is $8

Answer:

25%

Step-by-step explanation:

24/32=0.75

100-0.75= 0.25

So 25% off.

Hope that helped! (ﾉ◕ヮ◕)ﾉ*:･ﾟ✧

( ﾟдﾟ)つ Bye

Answer:

98 its multiply by 2 then subtract

Answer:

16

Step-by-step explanation: (if its from left to right)

Answer:

w≥31.25

Step-by-step explanation:

175+8w≥425

-175        -175

8w≥250

/8       /8

w≥31.25

Answer:

X is greater than or equal to 125/4

Step-by-step explanation:

Subtract 175 from both sides which will turn 425 into 250

Divide 8 from 8x to the other side to turn 250 into 125/4

In the end, you get X is greater or equal to 125/4

Answer:

you didnt add the attachment

Answer:

a..

Step-by-step explanation:

Answer:

The correct answer is: Option D: 8

Step-by-step explanation:

Given that she spent $208 on the sewing machines

And

the equation for profits to break even is:

208 + 10x = 36x

In order to find the number of purses to break even, we have to find the value of x

So,

[tex]208+10x=36x[/tex]

Subtracting 10x from both sides

[tex]208+10x-10x = 36x-10x\\208 = 26x[/tex]

Dividing both sides by 26

[tex]\frac{208}{26} = \frac{26x}{26}\\x = 8[/tex]

The number of purses is 8

Hence,

The correct answer is: Option D: 8

Answer:

D is correct.

Step-by-step explanation:

Answer:

x=5/4, y=7/4

Step-by-step explanation:

This is a similar triangles problem.

The first triangle (the smaller one) has the lengths 5, 8 and 7.

The second triangle (the lager one) has the lengths 5+x, 10, and 7+y

Let's first solve for x

In any similar triangles problem, you can make two ratios (all the ratios of the sides are the same)

since we don't know the measures for x and y first, we can use the ratio of the parallel lines (the bases) as the first ratio (8/10)

For the second ratio, it's smaller/bigger, so it'll be 5/(x+5)

here's the proportion

5/(x+5)=8/10

But before we multiply, we can simplify 8/10 to 4/5

so

5/(x+5)=4/5

Cross multiply

25=4x+20

5=4x

5/4=x

For y, we can do a similar process

We can use 8/10 or 4/5 again

and the ratio of the sides for y will be 7/(y+7)

7/(y+7)=4/5

35=4y+28

7=4y

7/4=y

Hope this helps!

Answer:

[tex]P(B) = 0.55[/tex]

Step-by-step explanation:

Given

[tex]P(A\ or\ B) = 0.8[/tex]

[tex]P(A) = 0.4[/tex]

[tex]P(A\ and\ B) = 0.15[/tex]

Required

Find P(B)

In probability, we have:

[tex]P(A\ or\ B) = P(A) + P(B) - P(A\ sd B)[/tex]

Substitute values

[tex]0.8 = 0.4 + P(B) - 0.15[/tex]

Collect Like Terms

[tex]P(B) = 0.8 - 0.4 + 0.15[/tex]

[tex]P(B) = 0.55[/tex]

Answer:

huh can you put the whole question?

Step-by-step explanation:

Put all the answers

Step-by-step explanation:

Answer:

Lucky you I am taking Algebra 2 right now. Whats ur question??

Step-by-step explanation:

Answer:

Each person would get 1/6 of the pizza

Step-by-step explanation:

1/3 divided by 2 is 1/6. Do that again and you will get four of 1/6.

Answer: I got no clue brother.

Step-by-step explanation: Brother

Answer: 2:45 pm

Step-by-step explanation:

Find the length of the tour;

90 minutes at Empire State

180 minutes in Central Park

45 minutes in Times Square

= 90 + 180 + 45

= 315 minutes

= 5.25 hours

= 5 hours 15 minutes

Dinner Reservation is at 8.

Latest time they can start is;

= 8 - 5.25 hours

= 2.75

= 2 hours 45 minutes

= 2:45 pm

Answer:

yes

Step-by-step explanation:

Yes, y = 4² is an exponential function.

" An exponential function is a mathematical function which can be expressed as y = [tex]a^{x}[/tex]  where 'a' is any constant value not equals to 0 and 'x' is a variable which belongs to any real number."

According to the question,

y = 4²

If we compare with general form y = [tex]a^{x}[/tex] of exponential function we have,

a = 4

x = 2

Hence, we conclude that y = 4² is an exponential function.

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