When Solving Quadratics, What questions should I ask myself?

The amount cheaper is the car washes Malcolm orders than the car washes Martha's order is $13.

The correct answer choice is option B.

Malcolm's gift card = $50.

Cost Malcolm's car wash per visit = $7

Martha's gift card = $180

Cost Martha's car wash per visit = Difference between gift card balance of first and second visit

= $180 - $160

= $20

How cheap is the car washes Malcolm orders than the car washes Martha's order = $20 - $7

= $13

Therefore, Malcolm's car wash is cheaper than Martha's car wash by $13

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Answer:

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Given two legs of a right triangle and we need to find the hypotenuse.

Use Pythagorean theorem:

The matching choice is C.

The coordinates of A exist (11, 0).

Let, the point A (-5, -2) exists reflected over the line y = -1, and then stand reflected over the line x = 3.

The distance between the y value exists -1 - (-2)= 1

We move 1 unit beyond the line y = -1

After reflection over the line y = -1 the coordinates of A becomes (-5, 1-1) is (-5, 0)

It exists reflected over the line x = 3

The distance between -5 and 3 exists 3 - (-5) = 8

We move 8 units out from the line x = 3

The Point (-5, 0) becomes (3 + 8, 0) exists (11, 0).

Therefore, the coordinates of A exist (11, 0).

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The complete question:

The point A (-5, -2) is reflected over the line y = -1, and then is reflected over the line x = 3. What are the coordinates of A.

Answer:

Mary

Step-by-step explanation:

just do it trust me

Answer:

Step-by-step explanation:

Answer:

No

Step-by-step explanation:

To calculate how much fence is needed we need to calculate the perimeter NOT area.

P = 2L+2W

P =2(6.75)+2(4 2/3)

P = 13.5 + 9 1/3

P = 22 5/6

Because she only has 22 yards she does not have enough to go all the way around.
Hope this helps and brainliest please

Answer:

No

Step-by-step explanation:

the perimeter is 22.7 she is approximately .7 off

Answer:

x+100

Step-by-step explanation:

x^2-10,000/x-100

x^2-10000 is a difference in squares and can be factored.

x^2-10000 = (x+100)(×-100).

(x+100)(x-100)/(x-100)

(x-100) cancel each other.

x+100 remains.

\(alternative \: interior \: angles\)

<4 and <6

\(alternative \: exterior \: angles\)

<1 and <7

\(corresponding \: angles\)

<1 and <5

\(\\ \tt\longmapsto -5x-8>22\)

\(\\ \tt\longmapsto -5x>30\)

\(\\ \tt\longmapsto -x>30/5\)

\(\\ \tt\longmapsto -x>6\)

\(\\ \tt\longmapsto x>-6\)

Answer:

\( - 5x - 8 > 22\)

\( - 5x > 22 + 8\)

\( - 5x > 30\)

\(x > \frac{30}{ - 5} \)

\(x > - 6\)

Answer:

25% because 75% receive anywhere between $10-$20. If 75% receive this amount than 25% don't.

Step-by-step explanation:

100% is the whole if you subtract 75% from 100% you get 25% left over. Hope this helps

Answer:

The number of square meters that Ruben can pain in 2 1/2 hours is:

16 1/4m²

Step-by-step explanation:

a) Data and Calculations:

Number of square meters that Ruben can pain in one hour = 6 1/2m²

Therefore, every 1/2 half he can paint 3.25m² or 3 1/4m²

In two hours, he can pain 6 1/2m² * 2 = 13m²

Using the same rate, in 2 1/2 hours, he can pain =xm² (0r 13m² + 3 1/4m²)

x = 6.5 * 2.5

= 16.25

= 16 1/4m²

b) Since Ruben can paint 6 1/2m² in one hour, he can then paint more square meters, multiplied by 2.5 in 2 1/2 hours.  This means that he will be doubling the square area he can paint in 2 hours and painting half of the square area in 1/2 hour's time, given his speed.

How many square meters can he paint in 2 1/2 hour is  ​65/4 square meters

Given:

Square meters per hour= 6 ½

Number of hours =2 ½

Let x represent how many square meters  he can paint in 2 1/2 hour

First step is to convert the mixed numbers to improper fractions

6 ½= ‌‌13/2

2 ½ = ‌‌5/2

Now let determine how many square meters  he can paint in 2 1/2 hour

x=(13/2)× (5/2)

x= 16.25 or 65/4

Inconclusion How many square meters can he paint in 2 1/2 hour is  ​65/4 square meters.

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The slope of a line perpendicular to the line whose equation is x - 2y = -8 is -2.

In Mathematics and Geometry, perpendicular lines are two (2) lines that intersect or meet each other at an angle of 90° (right angles).

From the information provided above, the slope for the equation of line m is given  by:

x - 2y = -8

2y = x + 8

y = x/2 + 4

slope (m) of line m = 1/2

In Mathematics and Geometry, a condition that is true for two lines to be perpendicular is given by:

m₁ × m₂ = -1

1/2 × m₂ = -1

m₂ = -2

Slope, m₂ of perpendicular line = -2

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Answer:

212 miles

Step-by-step explanation:

the boat is going 4mph so in 53 hours it would be 212mi

A one-sample z-test for a population proportion requires that n po > 10 and n(1-Po) > 10 for both the sample and population proportions, Po. Additionally, each sample proportion must be less than or equal to 0.5, the sample size must be more than 10 times the population size, and the population size must be more than 10 times the sample size.

1. Calculate the sample size, n, needed for the test.

2. Check that npo > 10 and n(1 - Po) > 10 for both the sample and population proportions, Po.

3. Check that each sample proportion is less than or equal to 0.5.

4. Check that the sample size is more than 10 times the population size.

5. Check that the population size is more than 10 times the sample size.

6. Check that the population distribution is approximately normal.

A one-sample z-test for a population proportion is used to evaluate the difference between a sample proportion and a population proportion. Before conducting the test, it is important to check for independence, which is done by ensuring that certain conditions are met. First, npo > 10 and n(1-Po) > 10 must be true for both the sample and population proportions, Po. Additionally, each sample proportion must be less than or equal to 0.5, the sample size must be more than 10 times the population size, and the population size must be more than 10 times the sample size. Lastly, the population distribution must be approximately normal. These conditions must be met in order for the test to be valid and reliable. If any of these conditions are not met, the test results may be inaccurate.

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The requried population increased by approximately 60.53%.

To find the absolute increase, we subtract the initial population from the final population:

Absolute increase = Final population - Initial population

Absolute increase = 6100 - 3800

Absolute increase = 2300

Therefore, the population increased by 2300 people.

To find the relative increase, we first calculate the percent change:

Percent change = (New value - Old value) / Old value x 100%

Percent change = (6100 - 3800) / 3800 x 100%

Percent change = 2300 / 3800 x 100%

Percent change = 60.53%

Therefore, the population increased by approximately 60.53%.

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Since we do not know the value of u, we cannot find the time taken by the basketball to travel a distance of 8.5 meters. We cannot find the height of the basketball at its highest point.

Given that n(x) = 3 for 8 < x < 8.5.It is impossible to determine whether the shot will be made or not based solely on this information. Winning the playoffs depends on various factors, such as the score, time remaining, and the overall performance of the team.

Therefore, additional information is required to determine the outcome of the playoffs.However, to find the height of the basketball at its highest point, we need to know the equation of the trajectory of the basketball.

Assuming that the basketball follows a parabolic path, we can use the formula:

y = ax² + bx + c,

where y is the height of the basketball, and x is the horizontal distance traveled by the basketball.

To find the values of a, b, and c, we need to know three points on the trajectory of the basketball. Let's assume that the basketball is thrown from a height of 1.5 meters and lands on the floor after traveling a horizontal distance of 8.5 meters.

Therefore, the points on the trajectory of the basketball are:

(0, 1.5), (8.5/2, h), and (8.5, 0),

where h is the height of the basketball at its highest point.Substituting these values in the equation of the trajectory,

we get:

1.5 = a(0)² + b(0) + c...(1)0 = a(8.5)² + b(8.5) + c...(2)h = a(8.5/2)² + b(8.5/2) + c...(3)

Simplifying equations (1) and (2),

we get:

c = 1.5...(4)b = -a(8.5)²/8.5...(5)

Substituting equation (4) in equation (3), we get:

h = a(8.5/2)² + b(8.5/2) + 1.5h = a(8.5/2)² - a(8.5)²/8.5 + 1.5h = -29.375a + 1.5

Substituting the value of a from equation (5) in the above equation,

we get:

h = -29.375(-a(8.5)²/8.5) + 1.5h = 0.5a(8.5)² + 1.5

Therefore, to find the height of the basketball at its highest point, we need to find the value of a. Since we know that the basketball lands on the floor after traveling a horizontal distance of 8.5 meters,

we can use the formula:

x = ut + 0.5at²,

where u is the initial horizontal velocity of the basketball, and t is the time taken by the basketball to travel a distance of 8.5 meters.

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Answer:

Step-by-step explanation:

i)  1

ii) see attached

iii) as x goes from 0 to 2, y decreases parabolically from 1 to an acme at -3

iv) y = (x - 2)² - 3

v) -3 < t < 1

if t < -3 no intersection occurs between y = t and y = (x - 2)² - 3

if t = -3, y = t intersects the curve at only one point, (2, -3)

if -3 < t < 1 there exist two intersecting points with positive x values

if t = 1 there exist only one positive x value intersection as the other is at (0, 1) and 0 is neither positive nor negative.

if t > 1 there is one positive x value intersection and one negative x value intersection.

Answer:

AC+ CD = ACD

X+1 + 2X + 2 = 30

3X+3 =30

3X=30–3

3X=27

X= 27/ 3

X= 9

I'm not sure of the solution, but I solved it according to a straight line (Line segment) .

I hope I helped you^_^

Answer:

statement : ABCD is a parellogram reason: given

Answer:

3x-1y

Step-by-step explanation:

i think that Is that

Answer:

what is 4x+3y-x-4y?

Simplify the expression.

Final answer: 4x+3y-x-4y = 3x-y

Step-by-step explanation:

I hope that this answer helps you to understand your question more thoroughly. If you have any other questions, please put them below.

Have a great rest of your day/night!

Answer:

1. 1.46% probability of obtaining x = 790 or more individuals with the characteristic

2. 7.49% probability of obtaining x =740 or fewer individuals with the characteristic

Step-by-step explanation:

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

Can be approximated to a normal distribution, using the expected value and the standard deviation.

The expected value of the binomial distribution is:

\(E(X) = np\)

The standard deviation of the binomial distribution is:

\(\sqrt{V(X)} = \sqrt{np(1-p)}\)

Normal probability distribution

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean \(\mu\) and standard deviation \(\sigma\), the zscore of a measure X is given by:

\(Z = \frac{X - \mu}{\sigma}\)

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

When we are approximating a binomial distribution to a normal one, we have that \(\mu = E(X)\), \(\sigma = \sqrt{V(X)}\).

In this problem, we have that:

\(n = 1000, p = 0.76\)

So

\(\mu = E(X) = np = 1000*0.76 = 760\)

\(\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{1000*0.76*0.24} = 13.51\)

1. What is the probability of obtaining x = 790 or more individuals with the characteristic?

Using continuity correction, this is \(P(X \geq 790 - 0.5) = P(X \geq 789.5)\), which is 1 subtracted by the pvalue of Z when X = 789.5. So

\(Z = \frac{X - \mu}{\sigma}\)

\(Z = \frac{789.5 - 760}{13.51}\)

\(Z = 2.18\)

\(Z = 2.18\) has a pvalue of 0.9854

1 - 0.9854 = 0.0146

1.46% probability of obtaining x = 790 or more individuals with the characteristic.

2. What is the probability of obtaining x =740 or fewer individuals with the characteristic?

Using continuity correction, this is \(P(X \leq 740 + 0.5) = P(X \leq 740.5)\), which is the pvalue of Z when X = 740.5. So

\(Z = \frac{X - \mu}{\sigma}\)

\(Z = \frac{740.5 - 760}{13.51}\)

\(Z = -1.44\)

\(Z = -1.44\) has a pvalue of 0.0749

7.49% probability of obtaining x =740 or fewer individuals with the characteristic

The answer is 140 because 14 x 10 is 140

Answer:

they do form a porportion

Step-by-step explanation:

they just do trust me

Yes they form a square root proportion

\(\ \ \sf\longmapsto \dfrac{4}{9}\)

\(\ \ \sf\longmapsto \dfrac{\sqrt{4}}{\sqrt{9}}\)

\(\ \ \sf\longmapsto \dfrac{2}{3}\)

Hence verified

Answer:

50.75

Step-by-step explanation:

We have:

\(E[g(x)] = \int\limits^{\infty}_{-\infty} {g(x)f(x)} \, dx \\\\= \int\limits^{1}_{-\infty} {g(x)(0)} \, dx+\int\limits^{6}_{1} {g(x)\frac{2}{x} } \, dx+\int\limits^{\infty}_{6} {g(x)(0)} \, dx\\\\= \int\limits^{6}_{1} {g(x)\frac{2}{x} } \, dx\\\\=\int\limits^{6}_{1} {(4x+3)\frac{2}{x} } \, dx\\\\=\int\limits^{6}_{1} {(4x)\frac{2}{x} } \, dx + \int\limits^{6}_{1} {(3)\frac{2}{x} } \, dx\\\\=\int\limits^{6}_{1} {8} \, dx + \int\limits^{6}_{1} {\frac{6}{x} } \, dx\\\\\)

\(=8\int\limits^{6}_{1} \, dx + 6\int\limits^{6}_{1} {\frac{1}{x} } \, dx\\\\= 8[x]^{^6}_{_1} + 6 [ln(x)]^{^6}_{_1}\\\\= 8[6-1] + 6[ln(6) - ln(1)]\\\\= 8(5) + 6(ln(6))\\\\= 40 + 10.75\\\\= 50.74\)

Answer:

12

Step-by-step explanation:

Answer:

Step-by-step explanation:

Discussion

The first thing you have to do is convert km to miles

Formula

1 mile = 1.6 km

x mile = 40000 km              Cross Multiply

Solution

1.6*x = 1 * 40000                  Divide by 1.6

x = 40000/1.6

x = 25000 miles

Answer Part 1

The distance covered is 25000 miles

Discussion Part 2

That's the distance covered in a day. Now we need to convert that to speed. The time (in hours) for 1 day is 24 hours.

Givens

d = 25000 miles

t = 24 hours

s = ?

Solution

s = d/t

s = 25000 / 24

s = 1041.66 miles per hour

Answer: 1041.66 is what is to be entered as your answer

Answer:

"30 years or less when, in reality, the average age is more than 30 years"

Step-by-step explanation:

Type I error is produced when conclusion rejects a true null hypothesis.

The null hypothesis is

"The average gamer is more than 30 years old"

(deduced from the wording, not explicitly stated).

Then if the conclusion is "the average gamer is less than or equal to 30 years old" when in reality the average age is more than 30 years, then there is a type I error, since the null hypothesis is rejected.

Answer is D:

"30 years or less when, in reality, the average age is more than 30 years"

Answer:

True

Step-by-step explanation:

This is true by definition.

Step-by-step explanation:

Volume = 42.39