The graph for the equation y = negative x + 2

On a coordinate plane, a line with positive slope goes through (0, 2) and (2, 0).

If another equation is graphed so that the system has an infinite number of solutions, which equation could that be?

A) y = negative 2 (x minus 1)
B) y = negative (x + 2)
C) y = negative one-fourth (4 x minus 8)
D) y = negative one-half (x + 4)

Answer: I think the answer is 3.

Step-by-step explanation:

Kim's team scored the same number of innings to win the game and Kim's team already had 6 points so four times a number has to be greater than 17.

4* 3 + 6= 18

which means the minimum number can't be less than three so they may have scored three or more points in  each of the four innings that was left.

Answer:

Option A. The volume of the sphere is multiplied by 1/343.

Step-by-step explanation:

The volume of a sphere can be obtained by the following formula:

V = 4/3πr^3

Let the initial volume (V1) of the sphere be:

V1 = 4/3πr^3 = (4πr^3)/3

Now, if we multiply the radius by 1/7, then the new volume (V2) of the sphere will be:

V2 = 4/3 x π x (1/7r)^3

V2 = 4/3 x π x 1/343r^3

V2 = (4πr^3)/1029

Now we determine the ratio of V2 : V1 as shown below:

V2/V1 = (4πr^3)/1029 ÷ (4πr^3)/3

V2/V1 = (4πr^3)/1029 × 3/(4πr^3)

V2/V1 = 3/1029

V2/V1 = 1/343

V2 = 1/343 x V1

Therefore, the volume of the sphere is multiplied by 1/343.

Answer:

1) There is enough evidence to support the claim that the average hospital stay for men is longer than the average hospital stay for women. (P-value = 0.00051).

2) zc=2.33

Step-by-step explanation:

1) This is a hypothesis test for the difference between populations means.

The claim is that the average hospital stay for men is longer than the average hospital stay for women.

Then, the null and alternative hypothesis are:

H_0: \mu_1-\mu_2=0\\\\H_a:\mu_1-\mu_2> 0

The significance level is 0.01.

The sample 1, of size n1=37 has a mean of 5.6 and a standard deviation of 1.2.

The sample 2, of size n2=35 has a mean of 4.5 and a standard deviation of 1.6.

The difference between sample means is Md=1.1.

[tex]M_d=M_1-M_2=5.6-4.5=1.1[/tex]

The estimated standard error of the difference between means is computed using the formula:

[tex]s_{M_d}=\sqrt{\dfrac{\sigma_1^2}{n_1}+\dfrac{\sigma_2^2}{n_2}}=\sqrt{\dfrac{1.2^2}{37}+\dfrac{1.6^2}{35}}\\\\\\s_{M_d}=\sqrt{0.039+0.073}=\sqrt{0.112}=0.335[/tex]

Then, as we know the population standard deviation of both, we can calculate the z-statistic as:

[tex]z=\dfrac{M_d-(\mu_1-\mu_2)}{s_{M_d}}=\dfrac{1.1-0}{0.335}=\dfrac{1.1}{0.335}=3.29[/tex]

This test is a right-tailed test, with z=3.29, so the P-value for this test is calculated as:

[tex]P-value=P(z>3.29)=0.00051[/tex]

As the P-value (0.00051) is smaller than the significance level (0.01), the effect is significant.

The null hypothesis is rejected.

There is enough evidence to support the claim that the average hospital stay for men is longer than the average hospital stay for women.

2. The critical values for this right tail test are calculated from the z-table and the significance level (α=0.01)

[tex]P(z>z_c)=0.01[/tex]

This happens for zc=2.33:

[tex]P(z>2.33)=0.01[/tex]

Answer: The expression 2√2 + √50 is equivalent to 7√2.

Step-by-step explanation: When 2√2 + √50 is added together, the result if 7√2.

Step-by-step explanation:

The answer is to your question is 192817359

Answer:

[tex]P(X = 3) = C_{7,3}.(0.7)^{3}.(0.3)^{4} = 0.0972[/tex]

Step-by-step explanation:

For each day there are only two possible outcomes. Either it rains, or it does not. The probability of rain on a day is independent of any other day. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

In a state park where the probability of rain on any given day is 0.7.

This means that [tex]p = 0.7[/tex]

Which expression can be used to find the probability that it will rain on exactly 3 of the seven days they are there

We have to find [tex]P(X = 3)[/tex] when [tex]n = 7[/tex]

So

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 3) = C_{7,3}.(0.7)^{3}.(0.3)^{4} = 0.0972[/tex]

Answer:

about 225-250 million years:

Answer:

x = 0

Step-by-step explanation:

[tex]\frac{1}{3} x+\frac{3}{10}x=0[/tex]

x = 0

Answer:

Isosceles

Step-by-step explanation:

An isosceles triangle is a triangle in which the length of at least two sides are same.

The triangle which Seth has two sides of same length that is 20 inches.

Third side is different.

Hence. the triangle which Seth has is  isosceles.

Answer:

5 hours

Step-by-step explanation:

5.6 all you have to use is .6 times 5hours to make 3kmapart

Answer:

  $1350

Step-by-step explanation:

Apparently, we're to assume that the bill is proportional to the energy usage. Then reducing energy by 10% would reduce the bill by 10%.

10% of the bill is 0.1 × $1500 = $150.

If the bill is reduced by $150, it becomes ...

  $1500 -150 = $1350

If they are successful, their bill will be $1350.

_____

In general, utility bills have a number of fixed charges or fees that are not proportional to the quantity of utility used. Too, they can have graduated rates that make them non-proportional.

Figuring 90% of some arbitrary number might be an interesting math exercise, but it has no relation to the world of utility billing for a 10% change in usage.

Answer:

d

Step-by-step explanation:

did da math

Answer:

x=7

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

12 bars --- 2 boxes

42 bars --- x boxes

x = 42*2/12 = 7

Answer:

The overall expected grade point average for the semester is 3.16/3.1 or 3.2 if you round it up.

Step-by-step explanation:

To get the average, you need to add up all the numbers then divide the sum by how many numbers you added.

3.5 + 3.0 + 3.0 = 9.5

9.5 / 3 = 3.16

Given Information:

expected grade in two-credit course = 3.5

expected  grade in three-credit course = 3.0

expected grade in four-credit course = 3.0

Required Information:

Expected overall grade point average = ?

Answer:

The expected overall grade point average of this college student is 3.11

Step-by-step explanation:

The overall expected grade point average is given by

E(X) = Sum of grades/Total number of credit hours

Sum of grades = ∑ weightage*expected grades

Sum of grades = 2*3.50 + 3*3.0 + 4*3.0 = 28

Total number of credit hours = 2 + 3 + 4 = 9

E(X) = Sum of grades/Total number of credit hours

E(X) = 28/9

E(X) = 3.11

Therefore, the expected overall grade point average of this college student is 3.11 .

Hello!

[tex]\boxed{ \bf The~approximate~area~of~the~circle~is~D.~380~m^2}[/tex]

___________________________________________

We must use a certain formula to find the area of a circle.

A = πr²

Let's plug in the radius.

A = π × 11²

A = π × 121

A = 380

Answer:5

Step-by-step explanation:(1×2^2)+(0×2^1)+(1×2^0)=

1×4+0×2+1×1=

4+1=

5

Answer:

2(x+1) or 2x+2

Answer:

[tex]a_{n} = 27 - 3(n-1)[/tex]

Step-by-step explanation:

Arithmetic sequences concepts:

The general rule of an arithmetic sequence is the following:[tex]a_{n+1} = a_{n} + d[/tex]

In which d is the common diference between each term.

We can expand the general equation to find the nth term from the first, by the following equation:

[tex]a_{n} = a_{1} + (n-1)*d[/tex]

And also:

[tex]a_{n} = a_{m} + (n-m)*d[/tex]

In this question:

[tex]a_{4} = 18, a_{7} = 9[/tex]

Finding the common ratio:

[tex]a_{n} = a_{m} + (n-m)*d[/tex]

[tex]a_{7} = a_{4} + (7-4)*d[/tex]

[tex]9 = 18 + 3d[/tex]

[tex]3d = -9[/tex]

[tex]d = \frac{-9}{3}[/tex]

[tex]d = -3[/tex]

Finding the first term:

[tex]a_{4} = a_{1} + (4-1)*d[/tex]

[tex]18 = a_{1} + 3*(-3)[/tex]

[tex]a_{1} = 27[/tex]

General rule:

[tex]a_{n} = a_{1} + (n-1)*d[/tex]

[tex]a_{n} = 27 - 3(n-1)[/tex]

Answer:

0.5361

Step-by-step explanation:

Hope this helps :)

Answer:

0.325

Step-by-step explanation:

Divide 26 by 80

Answer:

  60°

Step-by-step explanation:

The mnemonic SOH CAH TOA reminds you of the relationship between angles and sides in a right triangle. Here, we're given the side Adjacent and the side Opposite the angle of interest. This makes it appropriate to choose the relation ...

  Tan = Opposite/Adjacent

For our angle of elevation α, this means ...

  tan(α) = 125/72

  α = arctan(125/72) = 60.058°

  α ≈ 60°

The angle of elevation is about 60°.

Answer: B) 4/52 * 3/51

Step-by-step explanation:

the probability of drawing the first ace is 4/52 bc there are 4 aces and 52 cards. the probability of drawing the second ace is 3/51 bc there are now three aces ( bc we removed one in the first step) and there are now 51 cards (bc we removed a card in the first step and there is no replacement). combine the probabilities with multiplication because it’s a multistage event

Answer:

102, 78

Step-by-step explanation:

angle 1= x

angle 2= x-24

x+x-24=180

x=102

x-24=78

102+78=180

The measure of the angles are 102 and 78 degrees

If the difference of two supplementary angles is 24 degrees, then;

x - y = 24

y = x - 24

Taking the sum of the angles and equating to 180 degrees since they are supplementary

x + y = 180

x + x - 24 = 180

2x = 180 + 24

2x = 204

x = 102

Since y = 180 - x

y = 180 - 102

y = 78 degrees

Hence the measure of the angles are 102 and 78 degrees

Learn more on supplementary angles here: https://brainly.com/question/404323

Answer:

a. 3 mintes = 180 seconds

Answer:

155ysec ; 23400z+ 8400 secs

Step-by-step explanation:

3y mins = 3* 60=180y sec

3y mins - 25y sec= 180y sec - 25y= 155y sec

155ysec

From B

50(3z-2)min = 50 * 60 (3z-2) sec

= 3000(3z-2)=9000z-6000

4 (z + 1) hours =4*3600(z+1) =14400z + 14400z

Adding both expression we have;

9000z+14400z-6000+14400=23400z+ 8400 secs

23400z+ 8400 secs

Answer:

[tex]5cm^{3}[/tex]

Step-by-step explanation:

from the formula of cylinder and cone we can see that the volume of a cone is 3 times smaller than that of a cylinder

[tex]volume=\pi r^{2} h[/tex]....................cylinder

[tex]volume= \frac{1}{3} \pi r^{2}h[/tex].................cone

assuming all units in (cm)

Given data.

Volume of cylinder  =  [tex]15cm^{3}[/tex]

Diameter d=  [tex]2cm[/tex]

Radius r =   [tex]\frac{d}{2}[/tex][tex]= \frac{2}{2} = 1cm[/tex]

Height h=  ??

we know that the expression for the volume of a cylinder is

[tex]volume=\pi r^{2} h[/tex]

we can substitute our given data to find the height h

[tex]15= 3.142*1^{2}*h\\15= 3.142h[/tex]

divide both side by 3.142 we have

[tex]h= \frac{15}{3.142}\\ h= 4.77cm[/tex]

We can now use this height[tex]4.77cm[/tex] and radius [tex]1cm[/tex] to find the equivalent  volume of a cone.

the expression for the volume of a cone is

[tex]volume= \frac{1}{3} \pi r^{2}h[/tex]

substituting our data into the expression  we have

[tex]volume= \frac{3.142*1^{2*} 4.77}{3} \\volume= \frac{15}{3} \\voulume = 5cm^{3} \\[/tex]

Answer:

The roles can be assigned in 15120 ways.

Step-by-step explanation:

The parts, which means that the order in which the people are selected is important. So we use the permutations formula to solve this question.

Permutations formula:

The number of possible permutations of x elements from a set of n elements is given by the following formula:

[tex]P_{(n,x)} = \frac{n!}{(n-x)!}[/tex]

In this question:

5 people chosen from a set of 9. So

[tex]P_{(9,5)} = \frac{9!}{(9-5)!} = 15120[/tex]

The roles can be assigned in 15120 ways.

Answer:

[tex] p =\frac{Possible}{Total}[/tex]

Where possible represent the possible cases on this case 5 since we have 5 balls and the total is the size of the sample space on this case 12. And replacing we got:

[tex] p =\frac{5}{12}= 0.417[/tex]

And rounded to the tenths place we got:

[tex] p=0.4[/tex]

And the best answer is:

B. 0.4

Step-by-step explanation:

For this case the size of the sampel space is 5+4+3= 12 representing the total of balls used.

We select a random ball from the total and we want to find the probability of selecting a blue ball. And for this case the can use the empirical definition of probability from Laplace given by:

[tex] p =\frac{Possible}{Total}[/tex]

Where possible represent the possible cases on this case 5 since we have 5 balls and the total is the size of the sample space on this case 12. And replacing we got:

[tex] p =\frac{5}{12}= 0.417[/tex]

And rounded to the tenths place we got:

[tex] p=0.4[/tex]

And the best answer is:

B. 0.4

Answer:

166 legos are required

Step-by-step explanation:

In this case, let's analyze the data. We need 3 trophies, using at most 324 legos in total. The big trophy requires 220 legos, the smallest requires 135, so we need to know how much will be used in the medium trophy. This number should be 135 < X < 220

Now, if we know that the total legos to be used are 324, then, we can make a difference and sum for all the legos, and then, calculate the number of legos used.

Total legos = A + B + C

324 = 220 + 135 + C

324 = 355 + C

C = -31

This means that there is difference of 31 legos between the smallest and biggest trophy, therefore, this difference should be used and added to the smallest trophy and see how much Tristen use in the final trophy:

135 + 31

= 166 legos

So we need to use 166 legos to build the final trophy.

Answer:

he already used 355 so 166

Step-by-step explanation:

Answer:

(4,5)

Step-by-step explanation:

To find the x coordinates of the midpoint, add the x coordinates together and divide by 2

(x1+x2)/2 = (0+8)/2 = 8/2 = 4

To find the y coordinates of the midpoint, add the y coordinates together and divide by 2

(y1+y2)/2 = (2+8)/2 = 10/2 = 5

The midpoint is (4,5)

Answer:

(4,5)

Step-by-step explanation:

Midpoint: (0+8)/2, (2+8)/2

8/2, 10/2

4,5