Sue needs to drive 372 miles to visit her aunt. She stopped at a gas station one-third of the way in to her trip. How many miles has she traveled?

Answer:

From the graph, we can see the parabola cuts the x-axis at two different points and those will be the solution of our equation.

solution of  [tex]1/2x^{2} -x+4=0[/tex]

[tex]x=-4,2[/tex]

[tex]x_{1} =-4\\\\x_{2} =2[/tex]

[tex]-----------[/tex]

hope it helps...

have a great day!!

Answer:

the answer is A

Step-by-step explanation:

Answer:

The first skier goes at a speed of 11 kilometers per hour, while the second does it at a speed of 18 kilometers per hour.

Step-by-step explanation:

Given that two skiers are 43.5 kilometers apart and head towards each other, and they meet in 1.5 hours, if the second skier is 7 kilometers per hour faster the other, to find the speed of each skier the following calculation must be performed:

43.5 / 1.5 = 29

29 - 7 = 22

2/22 = 11

11 x 1.5 + 18 x 1.5 = X

43.5 = X

Thus, the first skier goes at a speed of 11 kilometers per hour, while the second does it at a speed of 18 kilometers per hour.

Answer:

140 lunch items

Step-by-step explanation:

The unit ratio is 5:2

So if we take that and multiply it by 20 we get 100:40. 100+40 is 140

Answer:

140

Step-by-step explanation:

well if there is 25 hamburgers to 10 hot dogs, than 25 times four is 100 and 10 times four is 40 so 140 but i dont know if i did it right

9514 1404 393

Answer:

  12 minutes

Step-by-step explanation:

The volume of the aquarium is ...

  V = LWH

  V = (25 in)(19 in)(12 in) = 5700 in³

The time required to empty it is given by ...

  time = quantity/rate

  time = (5700 in³)/(475 in³/min) = 12 min

It takes 12 minutes to empty the aquarium.

Answer:

Decision Rule; Reject H₀ if t > 1.708

Step-by-step explanation:

Given the data in the question;

sample size n = 26

sample mean x' = 4.9

Variance = 0.81

standard deviation σ = √variance = √0.81 = 0.9

level of significance ∝ = 0.05

Claim;

Null hypothesis             H₀ : μ = 4.6

Alternative hypothesis H₁ : μ > 4.6

Test Statistics;

Right tailed test

Now, decision rule for rejecting H₀;

degree of freedom df = n - 1 = 26 - 1 = 25

so, Right tailed test { > in H₁ }

Hence, Critical Value = [tex]t_{\alpha ,df[/tex] = [tex]t_{0.05, 25[/tex] = 1.708

Decision Rule; Reject H₀ if t > 1.708

Answer:

314 cm^2

Step-by-step explanation:

(=^w^=)

A= 2*pi*r*h

A=2*pi*5*10

A=314.16 cm^2

Step-by-step explanation:

2×5×10=

10×10= 100 cm²

=100 cm²

Answer:

D)75miles

Step-by-step explanation:

they were both traveling at 75 miles per hour and Kristin drove one hour more than Todd

D) 75 miles

Step-by-step explanation:

Todd drove 375 miles in 5 hours (75 mph). Kristin drove the same speed (75 mph) in 6 hours.

75 mph x 6 hours = 450 miles

450-375= 75 more miles

Answer:

Step-by-step explanation:

Given that:

the differential equations:

[tex]\dfrac{dx}{dt}= x+y = 1 \\ \\ \dfrac{dy}{dt}= 1-x^2+y^2[/tex]

For x-nullcline;

[tex]\implies \dfrac{dx}{dt} =0 \\ \\ \implies x+y-1[/tex]

From the image attached below, the sketch of the x-nullcline was carefully drawn and the regions were identified.

So, x-increases at the time when [tex]\dfrac{dx}{dt}>0[/tex]

[tex]\implies x+y -1 >0[/tex]

Thus, the solution move towards the right for  x+y>1

Answer:

I can´t see...

Step-by-step explanation:

11:59 AM is midday not midnight

Answer:

26

Step-by-step explanation:

duh....

Answer:

(3 × 2x^8y^5) hope this helps

Answer:

Determine if the expression -1−1 is a polynomial or not. If it is a polynomial, state the type and ... - did not match any documents.

Suggestions:

Make sure that all words are spelled correctly.

Try different keywords.

Try more general keywords.

Try fewer keywords.

Answer:

I'm not sure, but I put down B

Step-by-step explanation:

Answer:

36% is the  joint probability that a flight arrives late because of weather and ground operations

Step-by-step explanation:

Given

% of flight late because of weather = 0.75

% of flight late because of ground operation = 0.35

% of flight late because of both weather and ground operation = 0.10

The probability of joint probability that a flight arrives late because of weather and ground operations is equal to

p (A and B) + {P(A) * P(B)}

0.10 + (0.75 * 0.35)

0.36

or 36%

Answer:36%

Step-by-step explanation:0.10 + (0.75 * 0.35)=0.36 then turn it to a percent which is 36%.

Answer:

erm i think 5

Step-by-step explanation:

Answer:

1/2 x -10 ≥ 0

Step-by-step explanation:

We know that a square root must have an answer that is greater that or equal to zero.  The result of a square root cannot be negative. What is inside the square root must be greater than or equal to zero.  To find the domain we solve that equation to determine the value of x.

1/2 x -10 ≥ 0

Answer:

1: mean equals 17.417, median is 12.75, mode is 8.2, range is 33, the minimum is 8.2 the maximum is 41.2. The IQR is 16.55, the quartiles is q1: 8.95, q2: 12.75, q3 is 25.5, there are no outliers.

2: the best middle is 12.75 because the median is usually the middle number but if you orgainze the numbers there will be two but you will end up getting 12.75 as your median. take the two middle number add together then divide by 2 then that is your answer.

Step-by-step explanation:

GOOD LUCK

This question is incomplete, the complete question is;

Two student council representatives are chosen at random from a group of 7 girls and 3 boys. Let G be the random variable denoting the number of girls chosen.

a) What is E[G] or range of G

b) Give the distribution over the random variable G

Answer:

a) E[G] is [ 0, 1 , 2 ]

b)

the distribution over the random variable G.

x     P(x)

0     0.0667

1      0.4667

2     0.4667

Step-by-step explanation:

Given the data in the question;

Number to be chosen is 2

from 7 girls and 3 boys

a) range of G

number of girls can be; [ 0, 1 , 2 ]

Therefore, E[G] is [ 0, 1 , 2 ]

b) he distribution over the random variable G.

Distribution of the random variable G is Hypergeometric;

so

with P( G=g ) = P( getting g girls from 7 and 2-g boys from 3)

= (([tex]^7C_g[/tex]) × ([tex]^3C_{2-g[/tex])) / [tex]^{10}C_2[/tex]

now since, the range of G is [ 0, 1 , 2 ]

P( G=0 ) = (([tex]^7C_0[/tex]) × ([tex]^3C_{2[/tex])) / [tex]^{10}C_2[/tex]

= [(7!/(0!(7-0)!)) × (3!/(2!(3-2)!))] / (10!/(2!(10-2)!))

= [1 × 3] / 45 = 3/45 = 0.0667

P( G=1 ) = (([tex]^7C_1[/tex]) × ([tex]^3C_{1[/tex])) / [tex]^{10}C_2[/tex]

= [(7!/(1!(7-1)!)) × (3!/(1!(3-1)!))] / (10!/(2!(10-2)!))

= [ 7 × 3 ] / 45 = 21/45 = 0.4667

P( G=2 ) = (([tex]^7C_2[/tex]) × ([tex]^3C_{0[/tex])) / [tex]^{10}C_2[/tex]

= [(7!/(2!(7-2)!)) × (3!/(0!(3-0)!))] / (10!/(2!(10-2)!))

= [ 21 × 1 ] / 45 = 21/45 = 0.4667

Therefore, the distribution over the random variable G.

x     P(x)

0     0.0667

1      0.4667

2     0.4667

Answer:

2

Step-by-step explanation:

any expression divided by 1 remains the same

you can also calculate the factorial

Answer:

3.259259259259 in²

Step-by-step explanation:

Answer:

3 7/27

Step-by-step explanation:

Ok so first you do

2×1 = 2, then

2×2/9 = 4/9, then

1×2/3 = 2/3, then

2/3×2/9 = 4/27, then add all of those...

2+4/9+2/3+4/27= 3 7/27    

Hope this helps!! :D

Answer:

C. Mushrooms

Step-by-step explanation:

Mushrooms are known to be decomposers, they break down nutrients.

Answer:

volume of cylinder = πr^2h

=π (2)^2 * 5

= π* 4*5

= 20π unit^3

or

= 3.14* 4*5 = 62.8 unit^3

Answer 3/13

Step-by-step explanation:

There are 12 face cards, and 6 are black. Thus, the probability of choosing one would be 6/26, or 3/13

Answer: 1/3

Step-by-step explanation:

Each friend gets 1/3

1/3 / 9 = 3