It takes Molly 8 minutes to shovel her driveway after a snowstorm working by herself. It takes her elderly neighbor 24 minutes to shovel his driveway working by himself. How long would it take Molly and her neighbor to shovel the​ neighbor's driveway working​ together, assuming both driveways have the same​ dimensions?

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:

47 degrees

Step-by-step explanation:

3 1/2 x 8= 28

75-28= 47

Answer:

<

Step-by-step explanation:

I wont be able to answer your question but i hope this helps you understand which one is which :)

      A rational number is any number that can be expressed as a ratio of two integers (hence the name "rational"). ... For example, 1.5 is rational since it can be written as 3/2, 6/4, 9/6 or another fraction or two integers. Pi (π) is irrational since it cannot be written as a fraction.

i hope i helped atleast a little :)

Answer:

y = 75 - x

Step-by-step explanation:

From the question, we are given variables, and then we can see that

when x = 75 then y = 0

when x = 30 then y = 45

Finding the difference, we have

slope(m) = (45 - 0) / (30 - 75)

slope(m) = 45 / -45

slope(m) = -1

Next, we use the calculated m, to find b, using the formula

y = mx + b

0 = -1 * 75 + b

0 = -75 + b

b = 75

And finally, to get the needed equation, we say that

so y = mX+c

So that

y = -1 * x + 75

y = -x + 75

or y = 75 - x

Step-by-step explanation:

x² + 16x + 64 = (x + 8)². Hence p = 8.

Since (x + 8) is a factor of 4x² + 37x + k,

4(-8)² + 37(-8) + k = 0. (by Factor Theorem)

=> 256 - 296 + k = 0

=> k - 40 = 0

=> k = 40.

The value of k is 40.

Answer:

Sam is wrong.

Step-by-step explanation:

A diagonal of square or rectangle is equals to hypotenuse of a triangle. So you can apply Pythagoras Theorem to solve it :

Given that QS is 17.9 and OM is 11.3. So SQ is not 2 times greater than OM.

ANSWER

have it right it is -4

Answer:

i think its a beaner

Step-by-step explanation:

Step-by-step explanation:

explained in the photo

Answer:

6.

in 24/4=6,

24 is the dividend

4 is the divisor

6 is the quotient

in 4*6 = 24,

4 and 6 are the factors

24 is the product

7. division is an operation on two numbers to find the quotient

8. fact family is a group of related facts using the same numbers

9. multiplication is an operation on two numbers to find the product

Answer:

6. 24/4 = 6

7.24

8.4

9.6

4 * 6 = 24,

4 și 6 sunt factorii

24 este produsul

7. împărțirea este o operație pe două numere pentru a găsi coeficientul

8. familia de fapte este un grup de fapte conexe care utilizează aceleași numere

9. multiplicarea este o operație pe două numere pentru a găsi produsul

Step-by-step explanation:

The given modeled function is R(x)=26+1.5x

where R(x) is the number of hours spent reading a book over a month

and x is the number of hours a person spends at the library over the course of a month.

Representing R(x) on the y-axis and x on the x-axis,

Puttinv x=0 to get the R(x) intercept as

R=36+1.5 x 0 = 36

So, (0,36) ia a point.

Determining other-point by putting any arbitrary value of x other than 0.

Putting x=2, to get the other point

R=36+1.5 x 10 =51

So, the other point is (10,51).

Now, joining both the points to get the graph of the given linear equation as shown in the figure.

Answer:

(0,26) (4,32)

Step-by-step explanation:

The function R(x)=26+1.5x is a linear equation, so its graph is a straight line that can be drawn by plotting 2 points and connecting them.

Its R intercept occurs when x=0, so

y(0)=26,

and (0,26) is the R-intercept.

To find another point, plug in another x value into the function y(x). For example, when x=4, we have

R(4)=26+1.5(4)=32.

So, (4,32) is another point on the graph of R(x).

Answer:

60 dollars to the two girls each, and 30 dollars to John.

Step-by-step explanation:

If the two girls have 60 dollars (each), then that is twice as much as 30.

60 + 60 = 120.

120 + 30 = 150.

Answer:

B

Step-by-step explanation:

20-15= 5 so you do 5% of 2100 by doing 2100 times 0.05 which gives y9u 105. you then add 2100 and 105 together

Answer:

$270,000

Step-by-step explanation:

First, find the area of the plot using the formula A = lw

A = lw

A = (300)(150)

A = 45,000

Then, multiply this by 6 to find the total cost:

45,000(6)

= 270,000

So, the cost to tile the plot is $270,000

Answer:

2700

Step-by-step explanation:

Length= 300m

width= 150 m

Area = Lx W = 300 x 150= 4500 sq m

rate per 100 sq meter= 6

so total cost = 4500/ 100 x 6

= 2700

hope it helps!

the “/“ sign means division, what kind of question even is this.

9/5= 9÷5

19/28=19÷28

So for the last one, we can turn it into an improper fraction which is:

8/5 = 8÷5

Answer:

hiii

Step-by-step explanation:

my name is arushi(aru)

This site is only for education related questions. You should only answer or ask questions. That's what we are here for. Whoever is reading this answer, please spread it to stop people from zooming, hurting others, posting non-related to education, or just communicating with others because this is not what Brainly is for. Thank you.

Answer:

B

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 8, 1) and (x₂, y₂ ) = (- 3, - 4)

m = [tex]\frac{-4-1}{-3+8}[/tex] = [tex]\frac{-5}{5}[/tex] = - 1 → B

Answer:

B. -1

Step-by-step explanation:

Use the following equation:

slope [tex]m =[/tex] [tex]\frac{y_2 - y_1}{x_2 - x_1}[/tex]

Let:

[tex](x_1, y_1) = (-3 , -4)\\(x_2, y_2) = (-8 , 1)[/tex]

Plug in the corresponding numbers to the corresponding variables. Simplify:

[tex]m = \frac{(1) - (-4)}{-8 - (-3)} = \frac{1 + 4}{-8 + 3} = \frac{5}{-5} = -1[/tex]

Slope ([tex]m[/tex]) [tex]= -1[/tex], or (B).

~

Answer:

17(9−x)−50=52

Step 1: Simplify both sides of the equation.

17(9−x)−50=52

(17)(9)+(17)(−x)+−50=52(Distribute)

153+−17x+−50=52

(−17x)+(153+−50)=52(Combine Like Terms)

−17x+103=52

−17x+103=52

Step 2: Subtract 103 from both sides.

−17x+103−103=52−103

−17x=−51

Step 3: Divide both sides by -17.

-17x ÷ -17

-51 ÷ -17

x = 3

Answer:

m∠z = 106°

Step-by-step explanation:

From the figure attached,

By exterior angle theorem,

m∠z = a + 68°

By linear pair theorem,

m∠a + 142° = 180°

m∠a = 180° - 142°

        = 38°

Therefore, m∠z = 38° + 68°

                          = 106°

Answer:3,360.0

Step-by-step explanation:

Answer:

You have to state the question or have an attachment on your question so we can answer it

Answer:C:$18.50

Step-by-step explanation: it shows the main number so it would be c pls correct me if I'm wrong...

Answer:

c

Step-by-step explanation:

Answer:

d: x = -8

Step-by-step explanation:

40 + 65 + x + 83 = 180  (sum of internal angles of a triangle)

x = 180 - 40 - 65 - 83

x = -8

Answer:

D- 32 cubic units

Step-by-step explanation:

count each side and then multiple the numbers

Answer:

y = 2x + 5

Step-by-step explanation:

y is the amount of snow, and x is the hour. Every our, there is two inches, and the whole equation, you add on 5 because that was at the start

Answer:

y=2x+5

Step-by-step explanation:

This is because the snow falls at two inches PER HOUR. This is why it has an x afte. The +5 is the additional snow the ground had before it started snowing again.

Answer: Yes

Step-by-step explanation: got it wrong and told me the correct answer