Seven children in Grade 5 have the following numbers of pets: 4, 8, 0, 1, 3, 2, and 3. What is the mean absolute deviation of this data, rounded to the nearest tenth?

Answer:

G is true is out divide 1/7 by 2 out get 1/14

H is false the product is always 1

I is false all numbers have a reciprocal besides 0

Answer:

g. True

h. False

i. False

Step-by-step explanation:  

g.  

[tex]\frac{1}{14}[/tex] is half of [tex]\frac{1}{7}[/tex]  

This would be true because half of a number can be found by multiplying by [tex]\frac{1}{2}[/tex]  

If you multiplied [tex]\frac{1}{7} * \frac{1}{2}[/tex]  

The numerator is 1 * 1 which is 1  

And then the denominator is 7 * 2 which is 14  

That would give you [tex]\frac{1}{14}[/tex]

h.  

The products of two reciprocals is 0  

This is not true  

Reason being, reciprocals are just the number flipped. If you times the number by itself, you don't get 0, you get 1.  

Ex:  [tex]\frac{2}{8}[/tex]

Its reciprocal is [tex]\frac{8}{2}[/tex]  

So multiply them together

[tex]\frac{2}{8}* \frac{8}{2}[/tex]  

2 * 8 = 16  

8 * 2 = 16  

[tex]\frac{16}{16} = 1[/tex]

i.  

A whole number does not have a reciprocal  

This is incorrect. If you think about it, a whole number is just the number, over 1  

Ex: [tex]\frac{6}{1}[/tex]

This is still a whole number even though its written in fraction form because if you divide 6 by 1, your still going to get 6.

If you an write it as a fraction, it has a reciprocal.

The reciprocal in this case would be [tex]\frac{1}{6}[/tex]

I hope this helps, don't be afraid to reach out with any further questions!

Answer:

D: 50 Square Units

Step-by-step explanation:

Answer:

the answer is D :50

Step-by-step explanation:

goodluck:)

Answer:

p = 18 in

a = 25 in²

Step-by-step explanation:

perimeter = sum  of the sides

p = 4 1/3 + 5 1/3 + 8 1/3

p = 18 in

Area = 1/2 * base * height

a = 1/2 * 8 1/3 * 6

a = 1/2 * 50

a = 25 in²

Answer:

[tex]p=18\:\mathrm{in},\\A=25\:\mathrm{in^2}[/tex]

Step-by-step explanation:

The area of a triangle is given by [tex]A=\frac{1}{2}\cdot b\cdot h[/tex]. By definition, the base and height must intersect at a [tex]90^{\circ}[/tex] angle.

In this diagram, we notice that the lengths [tex]8\frac{1}{3}[/tex] and [tex]6[/tex] intersect at a [tex]90^{\circ}[/tex], so we can use them as the base and height of the triangle, respectively.

Therefore, the area of the triangle is equal to:

[tex]A=\frac{1}{2}\cdot 6\cdot 8\frac{1}{3}=3\cdot \frac{25}{3}=\boxed{25\:\mathrm{in^2}}[/tex].

The perimeter is simply the sum of all sides of the triangle. Thus, we have:

[tex]p=4\frac{1}{3}+8\frac{1}{3}+5\frac{1}{3}=4+8+5+1=\boxed{18\:\mathrm{in}}[/tex]

Answer: The Diagram of the refracted angle is attached below

answer :  ∅ = cos^-1 ( w/d )

Step-by-step explanation:

The trigonometric expression for the refracted angle  

with respect to ; Distance ( d )  and width ( w )

Cos ∅ = Adjacent / Hypotenuse ----- ( 1 )

where; adjacent = W . Hypotenuse = d

back to equation 1

Cos ∅ = w / d

∴ ∅ = cos^-1 ( w/d )

Answer:

Hello again!

Original coordinates: 5, -2

New coordinates: 0, 4

Heres a picture demonstration to find the new coordinates. How I moved 5 left and 6 up

Hope that helps!

Answer:

y = 8x + 2

Step-by-step explanation:

Slope interrcept form is

y = mx + b

m is the slope = 8

b is the y-intercept = 2

y = 8x + 2

Answer:

0.64

Step-by-step explanation:

Prob ( Head ) = 40% = 0.4 , Prob ( Tail )  = 1 - 40% = 60% = 0.6

4 outcomes =  (Head Tail) , (Tail Head) , (Head Head) , (Tail , Tail)

Prob (Atleast one head) = Pr (Head Tail) + Pr (Tail Head)  + Pr (Head Head)

(0.4) (0.6) +  (0.6) (0.4) = 0.24 + 0.24 + 0.16 = 0.64

Answer:  a) 236 ml  b) 94.4 %

Step-by-step explanation:  a) in 44 % solution there is 0.44 · 25 ml = 11 ml.

Total volume of acid is 225 ml + 11 ml = 236 ml

b) vol-% of acid is 236 ml /(225 ml + 25 ml) · 100 % = 94.4 %

The milliliters of acid that are in the resulting mixture is 236 millimeters and the percentage of the resulting mixture is acid is 94.4%.

a. The milliliters of acid are in the resulting mixture will be:

= 225 ml + (44% × 25ml)

= 225ml + (0.44 × 25ml)

= 225ml + 11ml

= 236ml

b. The percentage of the resulting mixture that is acid will be:

= [(236ml / (25ml + 225ml)] × 100

= (236ml/250ml) × 100

= 94.4%

Read related link on:

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Answer:

my only question is A

Step-by-step explanation:

when you have a 30-60-90 triangle, you sides will always have a set pattern

Answer: A) {6, 12, 12 3 }

explanation: The sides of a 30-60-90 triangle will always have a consistent design. Thus, the answer is A.

Answer: B, D, and F

Step-by-step explanation:

Hi, so for this question, the phone bill is in an equation. Before doing this problem, make sure to understand what the 2 and 56 mean. The problem says that c is the monthly charge, and m is the number of minutes. This means that 2 is the number of dollars required to pay when you use the phone for one minute. So 2 dollars per minute. The 56 is basically the fee that is just charged for using the phone bill. Meaning that even if you don't use the phone at all, you will still need to pay 56 dollars.

By understanding those info, it should be easier to answer.

For A, it is not correct. if you look, although 2*4 is 8 dollars, but you need to add 56 for the monthly bill. (I think when they say 'your bill' they mean the monthly bill).

For B, it is correct. Like I said before, the 56 dollars is there no matter how long you use the phone.

For C, it is not correct. This isn't hard to understand since if B is correct, C is probably not, and vise versa. And the 56 dollars is missing.

For D, it is correct. As I said before, the 2 represents the amount of dollars for one minute.

For E, it is not correct. (Contradicts the previous answer and each minute costs 2 dollars).

For F, it is correct. When you use 2 minutes, the equation is 2*2+56 which is 60 dollars.

Hopefully this helps!

Find the measure of each angle indicated.

○ 44°

○ 68°

○ 59°

○ 100°

We will simply substitute the given values in the formula,

⇒ Sum of all angles of a Quadrilateral = 360°

⇒ ∠S + ∠T + ∠Q + ∠R = 360°

Substituting the values given, We get,

⇒ 95° + 85° + 80° + ∠R = 360°

Calculating further, We get,

⇒ 260° + ∠R = 360°

Transposing 260° to Right Hand Side, We get,

⇒ ∠R = 360° - 260°

Calculating further, We get,

⇒ ∠R = 100°

∴ ∠R = 100°

The measure of ∠R is 100°

Hence, Last option i.e., 100° is correct answer.

The slope is not affected. The y-intercept does not increase. The correct option is A.

A coordinate plane is a 2D plane that is formed by the intersection of two perpendicular lines known as the x-axis and y-axis. A coordinate system in geometry is a method for determining the positions of the points by using one or more numbers or coordinates.

A translation in mathematics moves a shape left, right, up, or down but does not turn it. The translated (or image) shapes appear to be the same size as the original shape, indicating that they are congruent. They've just moved in one or more directions.

Given that if the graph of a linear equation is translated 4 units down. The slope remains unaffected. The y-intercept does not grow.

To know more about coordinate geometry follow

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Answer:

[1,8] or 1 [tex]\leq \\[/tex] x [tex]\leq[/tex] 8

Step-by-step explanation:

The domain is number of classes she can/will take, therefore the domain is between 1 and 8.

Answer:

Step-by-step explanation:

angle S+angle T+angle+angle R=180 degree(being sum of interior angle of a triangle)

4x^2-6x+40+18x+3+2x^2-7=180

6x^2+12x+36=180

6(x^2+2x+6)=180

x^2+2x+6=180/6

x^2+2x+6=30

x^2+2x=24

x(x+2)=24

x+2=24/x

x=24/x-2

x=24-2x/x

substitute the value of x^2 in angle R

2x^2-7

2(24-2x/x)^2-7(here x and x gets cancel)

2(24-2)^2-7

2*22^2-7

2*484-7

968-7

961

Answer:

Step-by-step explanation:

angle S+angle T+angle+angle R=180 degree(being sum of interior angle of a triangle)4x^2-6x+40+18x+3+2x^2-7=1806x^2+12x+36=1806(x^2+2x+6)=180x^2+2x+6=180/6x^2+2x+6=30x^2+2x=24x(x+2)=24x+2=24/xx=24/x-2x=24-2x/xsubstitute the value of x^2 in angle R2x^2-72(24-2x/x)^2-7(here x and x gets cancel)2(24-2)^2-72*22^2-72*484-7968-7961

2 y determinant is the answer

B: a+ 1/4b Hope this helps!

B. [tex]a + \frac{1}{4} b[/tex] ✅

Step-by-step explanation:

[tex] \frac{1}{2} (4a + b) - \frac{1}{4} (4a + b) \\ = \frac{4a + b}{2} - \frac{4a + b}{4} \\ = \frac{2(4a + b)}{2 \times 2} - \frac{4a + b}{4} \\ = \frac{8a + 2b}{4} - \frac{4a + b}{4} \\ = \frac{8a + 2b - 4a - b}{4} \\ = \frac{4a + b}{4} \\ = \frac{4a}{4} + \frac{b}{4} \\ = a \: + \frac{1}{4} b[/tex]

[tex]\circ \: \: { \underline{ \boxed{ \sf{ \color{green}{Happy\:learning.}}}}}∘[/tex]

Answer:56.55

Step-by-step explanation:

2 x pi x radius which is half of 18 so 9 is about 5.487 and rounded to the nearest hundredth is 56.55.

Answer:

$ 4096 on the 7th day

Step-by-step explanation:

From the amount earned for the first 3 days it's 1 , 4 , 16 , .... We realize it increases exponentially.

So therefore:

Day 1 =4⁰

Day 2=4¹

Day 3=4²

Day 4=4³

Day 5=4⁴

Day 6=4⁵

Day 7=4⁶

Therefore on day 7 he saves 4⁶ which is $4096

Answer:

60

Step-by-step explanation:

V = lwh

V= 4x3x5

V=60

Answer:

Solution given:

l=4cm

b=3cm

h=5cm

volume=l*b*h=4*3*5=60cm³

Answer:

a) The 90% confidence interval to estimate the proportion of family-owned businesses without strategic business plans is (0.4768, 0.5032). This means that we are 90% sure that the true proportion of all family-owned businesses without strategic business plans is between these two values.

b) Wider

Step-by-step explanation:

Question a:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the z-score that has a p-value of [tex]1 - \frac{\alpha}{2}[/tex].

In a survey of randomly selected 3,900 family-owned businesses with revenues exceeding $1 million a year, it was found that 1,911 of them had no strategic business plan.

This means that [tex]n = 3900, \pi = \frac{1911}{3900} = 0.49[/tex]

90% confidence level

So [tex]\alpha = 0.1[/tex], z is the value of Z that has a p-value of [tex]1 - \frac{0.1}{2} = 0.95[/tex], so [tex]Z = 1.645[/tex].

The lower limit of this interval is:

[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.49 - 1.645\sqrt{\frac{0.49*0.51}{3900}} = 0.4768[/tex]

The upper limit of this interval is:

[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.49 + 1.645\sqrt{\frac{0.49*0.51}{3900}} = 0.5032[/tex]

The 90% confidence interval to estimate the proportion of family-owned businesses without strategic business plans is (0.4768, 0.5032). This means that we are 90% sure that the true proportion of all family-owned businesses without strategic business plans is between these two values.

Question b:

The margin of error is:

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

The higher the confidence level, the higher the value of z, thus the higher the margin of error and the interval is wider. Thus, a 99% confidence interval is wider than a 90% confidence interval.

Answer:

35x4

Step-by-step explanation:

The probability of the sample from 10 to 25 will be 60%. Then the correct option is B.

Its simple notion is that something will most likely occur. The favorable event's proportion to the overall number of occurrences.

Based on the density graph below.

Then the probability of a value in the sample space being anywhere from 10 to 25 will be

P = (25 - 10)/(25 - 0)

P = 15/25

P = 0.6

P = 60%

Thus, the probability of a value in the sample space being anywhere from 10 to 25 will be 60.

Hence the correct option is B.

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Answer:

10.5

Step-by-step explanation:

Answer:

Step-by-step explanation:

3,16, 7, 19, 1, 12, 3,9,16,12

First list in ascending order:

= 1 3 3 7 9 12 12 16 16 19

The median is the mean of the middle 2 numbers:

Median = (9 + 12) / 2 = 10.5.

Answer:

13

Step-by-step explanation:

starting equation is 15=0.75(x)+5.

You have to have the numbers on one side so...

15-5=10, and 5-5=0.

now, our equation is 10=0.75(x).

we are looking for x, so....

10/.75= 13 and 1/3.

since there is no such thing as a third of a song, 13 would be our number.

Step-by-step explanation:

The theoretical probability is greater than experimental probability

Answer:

Step-by-step explanation:

Experimental probability is determined by trials and Theoretical probability is greater than experimental probability

Answer:

8281.72

Step-by-step explanation:

Given:

Principal, P = 7700

Rate, r = 10 3/4 % = 43/4 % = 0.1075

Time, t = 253 days = 253/ 360

Using the relation :

A = P(1 + rt)

A = maturity value

A = 7700(1 + 0.1075*253/360)

A = 7700(1 + 0.0755486)

A = 7700(1.0755486)

A = 8281.7243

A = 8281.72

Answer:

$54659.21

Step-by-step explanation:

By using the formula of 9270 * (1.053)^34 I can find the annual compound interest.. I reccomend using a calculator.

Answer:

i dont know sorry

Step-by-step explanation: