$9, $11, $13, $15, $20, $10, $12, $15, $10, $15 What is the mode allowance?

Answer:

54, 486, 154

Step-by-step explanation:

x+9x+100+x= 694

11x= 694-100

11x=594

x= 54

54×9=486

54+100= 154

54+486+154=694.

Answer:

there are 12 fourths in 3

Answer:

Y=2

Step-by-step explanation:

Horizontal lines will always be y= something

No matter what the x value is, y will always be 4

Answer:

1

Step-by-step explanation:

1.  One way to do this is converting both into improper fractions.  To do this, multiply the whole number by the denominator and add that to the numerator.

2 3/5 --> 2*5 is 10 --> 10+3 is 13.  --> 13/5

2.  This leaves us with 13/5 - 8/5

3.  Subtract the numerators

13/5 - 8/5 = 5/5

4.  Simplify.  If the numerator is the same number as the denominator, it's a whole number.

5/5 = 1

Answer: 2

Step-by-step explanation:

Answer:

I think it's 2kg

Step-by-step explanation:

13/5 ÷ 13/10

Reciprocate

13/5 × 10/13

= 26/13

=2kg

Answer:

12 apples

Step-by-step explanation:

Apples eaten by friend = 5

Apples eaten by me = 7

Toral number of apples eaten together

= 5 + 7

= 12

________

hope this helps!

Answer:

12 apples

Step-by-step explanation:

If 1 person eats 5 apples, and another person eats 7, we should add the amount of apples together to get the total.

5+7

=12

So, 12 apples were ate altogether.

Hope this helps! :)

The value of q is 0.35.

The value of p is 0.16.

The value of r is 0.27.

The value of P(A given NOT B) is approximately 0.4211.

To calculate the values of p, q, and r, we can use the information provided in the Venn diagram and the probabilities of events A and B.

Given:

P(A) = 0.43

P(B) = 0.62

P(A∩B) = 0.27

Calculating the value of p:

The value of p represents the probability of event A occurring without event B. In the Venn diagram, p corresponds to the region inside A but outside B.

We can calculate p by subtracting the probability of the intersection of A and B from the probability of A:

p = P(A) - P(A∩B)

= 0.43 - 0.27

= 0.16

Therefore, the value of p is 0.16.

Calculating the value of q:

The value of q represents the probability of event B occurring without event A. In the Venn diagram, q corresponds to the region inside B but outside A.

We can calculate q by subtracting the probability of the intersection of A and B from the probability of B:

q = P(B) - P(A∩B)

= 0.62 - 0.27

= 0.35

Therefore, the value of q is 0.35.

Calculating the value of r:

The value of r represents the probability of both event A and event B occurring. In the Venn diagram, r corresponds to the intersection of A and B.

We are given that P(A∩B) = 0.27, so the value of r is 0.27.

Therefore, the value of r is 0.27.

Finding the value of P(A given NOT B):

P(A given NOT B) represents the probability of event A occurring given that event B does not occur. In other words, it represents the probability of A happening when B is not happening.

To calculate this, we need to find the probability of A without B and divide it by the probability of NOT B.

P(A given NOT B) = P(A∩(NOT B)) / P(NOT B)

We can calculate the value of P(A given NOT B) using the provided probabilities:

P(A given NOT B) = P(A) - P(A∩B) / (1 - P(B))

= 0.43 - 0.27 / (1 - 0.62)

= 0.16 / 0.38

≈ 0.4211

Therefore, the value of P(A given NOT B) is approximately 0.4211.

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Answer:

192 square feet

Answer:

368

Step-by-step explanation:

Answer:

Step-by-step explanation:

3x  +  5  +  x  -  25  =  180

4x  -  20  =  180

4x  =  200

x  =  50

Answer:

-4,-3

Step-by-step explanation:

count the squres from the cordinate, so If you want to go to Q you first have to go to the left 4 times so that -4, then from there you go down 3 time in the negative side there for your answer is -4,-3

Pretty sure this is right

Answer:

-5. -3

Step-by-step explanation:

If u reflect ur literally switchig points q and r so...

Answer:

p = 8

Step-by-step explanation:

Divide -5 to both sides

-5p = -40

5p = 40

p = 8

So p = 8

9514 1404 393

Answer:

  u = -3 3/7

Step-by-step explanation:

The new value of v is 4/-7 = -4/7 of the old value. Because u varies directly, its new value will also be -4/7 of the old value.

  u = -4/7(6) = -24/7

  u = -3 3/7

Answer:

k = 44

Step-by-step explanation:

k/4 + 3 = 14

k/4 = 11

k = 44

Answer:

\(\boxed{\sf k=44}\)

Step-by-step explanation:

\(\sf \frac{k}{4} +3=14\)

Subtract 3 from both sides.

\(\sf \frac{k}{4} +3-3=14-3\)

\(\sf \frac{k}{4}=11\)

Multiply both sides by 4.

\(\sf \frac{k}{4}(4)=11(4)\)

\(\sf k=44\)

The graph of the function y = 5|x - 4| is added as an attachment

From the question, we have the following parameters that can be used in our computation:

y = 5|x - 4|

The above function is an absolute value function that has been transformed as follows

Next, we plot the graph using a graphing tool by taking not of the above transformations rules

The graph of the function is added as an attachment

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Answer:

780

Step-by-step explanation:

In this example we will call Original Price = y

72%=0.72

218.40=0.72*y

1-0.72=0.28

218.4÷0.28=780

Answer:

Explained below.

Step-by-step explanation:

(1)

The hypothesis can be defined as follows:

H₀: The Speedy Oil Change will change the oil in​ customers’ cars in more than 30 minutes on average, i.e. μ > 30.

Hₐ: The Speedy Oil Change will change the oil in​ customers’ cars in less than 30 minutes on average, i.e. μ ≤ 30.

(2)

Use Excel to compute the sample mean and standard deviation as follows:

\(\bar x=\text{AVERAGE(array)}=24.917\\\\s=\text{STDEV.S(array)}=8.683\)

Compute the test statistic as follows:

\(t=\frac{\bar x-\mu}{s/\sqrt{n}}=\frac{24.917-30}{8.683/\sqrt{36}}=-3.51\)

The degrees of freedom is:

df = n - 1

   = 36 - 1

   = 35

Compute the p-value as follows:

\(p-value=P(t_{35}<3.51)=0.0006\)

(3)

The p-value = 0.0006 is very small.

The null hypothesis will be rejected at any of the commonly used significance level.

(4)

There is sufficient evidence to support the claim that the Speedy Oil Change will change the oil in​ customers’ cars in less than 30 minutes on average.

Using the t-distribution, we have that:

1.

The null hypothesis is \(H_0: \mu \geq 30\)

The alternative hypothesis is \(H_1: \mu < 30\)

2. The test statistic is t = 3.51.

3. The p-value is of 0.0063.

4. Since the p-value is of less than the standard significance level of 0.05, we reject the null hypothesis, and can conclude that the company is fulfilling its promise.

Item 1:

At the null hypothesis, we test if the mean is of at least 30 minutes, that is:

\(H_0: \mu \geq 30\)

At the alternative hypothesis, we test if the mean is of less than 30, that is:

\(H_1: \mu < 30\)

Item 2:

We have the standard deviation for the sample, thus, the t-distribution is used. The test statistic is given by:

\(t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}\)

The parameters are:

For this problem:

The test statistic is:

\(t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}\)

\(t = \frac{24.92 - 30}{\frac{8.68}{\sqrt{36}}}\)

[tx]t = 3.51\)

The test statistic is t = 3.51.

Item 3:

The p-value is found using a left-tailed test, as we are testing if the mean is less than a value, with t = 3.51 and 36 - 1 = 35 df.

Using a calculator, this p-value is of 0.0063.

Item 4:

Since the p-value is of less than the standard significance level of 0.05, we reject the null hypothesis, and can conclude that the company is fulfilling its promise.

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Answer:

1 hour and 50 minutes

Step-by-step explanation:

Time Connie takes to clean the house: 210 minutes

Time takes for both of them at the same time: 100 minutes.
210 - 100 = 110 minutes

Therefore, Alvaro takes one hour and 50 minutes to clean the house by himself.

Answer:Alvaro can clean the house alone in approximately 3.89 hours.

Step-by-step explanation:

If Connie can clean her house in 3.5 hours, then her rate of work is 1/3.5 of the house per hour. Together, Connie and Alvaro can clean the house in 1 hour and 40 minutes, or 1.67 hours.

To find how long it would take Alvaro to clean the house alone, we can use the formula:

combined rate of work = sum of individual rates of work

So, (1/3.5 + 1/a) * 5/3 = 1, where "a" is the time it takes Alvaro to clean the house alone.

Simplifying the equation, we get 1/a = 9/35, which means that Alvaro can clean the house alone in approximately 3.89 hours (or 3 hours and 53 minutes).

center:

(-5,3)

foci:

(-5 + √29, 3) , (-5 - √29, 3)

verticles:

(0,3) , (-10,3)

graph:

-see attachment-

Answer:

Step-by-step explanation:

base area=41.57 in²

height=9 in

volume=41.57×9=374.13 in³

Answer:

5 ft

Step-by-step explanation:

30/6 = 5

20/4 = 5

25/x = 5

25/5 = 5

x = 5

Answer:

5 feet

Step-by-step explanation:

the triangles are scaled by the factor of 5

Answer:

Step-by-step explanation:

First, we need to find the difference between the price that he sold the shares for and the price that he bought them at: (67.68-60.65) = 7.03

That means that there was a gain of $7.03 per share for Archie.

That being said, since Archie bought 100 shares, we can multiply that number by 100 to find the total gain from selling the shares:

(7.03x100)= 703

The answer then is:

Archie gained $703 from selling all of his shares.

5/6 is the probability that the number landed on an odd or is greater than 4

Probability is defined as the likelihood or chance that an event will occur.

If a number cube is rolled, the sample space will be:

(S) = {1, 2, 3, 4, 5, 6}

n(S) = 67

If it lands on a odd number, the number of events will be:

(E) = {1, 3, 5}

n(E) = 3

If it lands on a number greater than 4 the number of events will be:

(E) = {5, 6}

n(E) = 2

Pr(even or greater then 4) = 3/6 + 2/6

Pr(even or greater then 4) = 5/6

The probability that the number landed on an odd or is greater than 4 is 5/6

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Answer: 4/6 or 2/3

Step-by-step explanation:

Even number=3/6 or 1/2 chance

Greater than 4=2/6 chance or 1/3 chance

Union basically means either or

So: 1/2+1/3 or 3/6+2/6 or 5/6

This doesn't always work though, so we use trial and error

1 2 3 4 5 6

1 3 5 are the ones not even

13 are the ones not greater than 4

Answer:

5/12 phone uses less storage space

Step-by-step explanation:

Find a common denominator so you can compare the fractions easily.  Use 12.

1/2 = 6/12

5/12 < 6/12, so now you can see that the phone that uses 5/12 of storage space uses less than the one that uses 1/2

Answer:

x = -1 and x = 4.

Step-by-step explanation:

x^2 - 3x - 4 = 0

(x - 4)(x + 1) = 0

x - 4 = 0

x = 4

x + 1 = 0

x = -1

Check your work...

(4)^2 - 3(4) - 4

= 16 - 12 - 4

= 4 - 4

= 0

(-1)^2 - 3(-1) - 4

= 1 + 3 - 4

= 4 - 4

= 0

So, x = -1 and x = 4.

Hope this helps!

The statement which is true about the given system of equations as required is; The system of equations represents parallel lines.

As evident in the task content; The two equations given are;

y = 3x + 9 and y = 3x - 4

By comparison with the slope-intercept form equation of a line; y = mx + c;

The slope of both equations are equal while the y-intercepts are different.

Ultimately, the system of equations represents a pair of parallel lines.

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Answer:

3

Step-by-step explanation:

Lower quartile (xL): 13.5

Upper quartile (xU): 18.5

Interquartile range (xU-xL): 3

Thanks!

Answer:

3 is the interquartile range.

To find interquartile range:

Here:

using the formula:

→ 18 - 15

→ 3

According to the information, the ball returns to the ground about 13.6 feet away.

To calculate how many feet away the ball returns to the ground we have to consider that the ball starts 0 feet above the ground (assuming the ground level is the reference point, where h(x) = 0).

To find the maximum height, we need to find the vertex of the parabola, which occurs at

x = -b/2a

where,

a = -0.25

b = 3.4.

x = -3.4 / (2 * (-0.25)) = 6.8

So, the ball reaches a max height of h(6.8) = -0.25(6.8)^2 + 3.4(6.8) = 8.2 feet at a horizontal distance of 6.8 feet away from the club it was hit with.

To find when the ball returns to the ground, we set h(x) = 0 and solve for x:

0 = -0.25x^2 + 3.4x

0.25x(13.6 - x) = 0

x = 0 or x = 13.6

Since x = 0 is the starting point, the ball returns to the ground at x = 13.6 feet away from the club it was hit with.

Therefore, the ball returns to the ground about 13.6 feet away.

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The proof for  AB ≅ CD is:

Step                 Statement                                Reason

 1              ∠B ≅ ∠D, BC || AD                          Given

 2               ∠BCA ≅ ∠CAD                Alternate Interior angles

 3                      AC ≅ AC                             common side

 4                 ΔABC ≅ ΔADC         Angle-Angle-Side rule of congruency

 5                   AB ≅ CD            Corresponding sides of congruent triangle

Consider triangle ABC and triangle ADC.

Here, side BC is parallel to side AD.

From the attached figure we can observe that AC is a transversal.

so, ∠BCA and ∠CAD would be alternate angles formed by two parallel lines and transversal.

By property of  Alternate Interior angles,

∠BCA ≅ ∠CAD

Also, we can observe that side AC is common side to ΔABC and ΔADC.

We rewrite this proof as,

Step                 Statement                                Reason

 1              ∠B ≅ ∠D, BC || AD                          Given

 2               ∠BCA ≅ ∠CAD                Alternate Interior angles

 3                      AC ≅ AC                             common side

 4                 ΔABC ≅ ΔADC         Angle-Angle-Side rule of congruency

 5                   AB ≅ CD            Corresponding sides of congruent triangle

This is the required proof.

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Answer:

its 3 third option

Step-by-step explanation:

eez

Answer:

2,580 ÷ 6

Step-by-step explanation:

I hope this helped and if it did I would appreciate it if you marked me Brainliest. Thank you and have a nice day!