Find the mean absolute deviation (MAD) of the data in the dot plot below.
Mass of each rock
in Ricardo's collection
numbers 35 36 37 38 39 40 41 42 43 44

Answer:

$23.00 each

Step-by-step explanation:

$69 / 3 people = $23 from each person

Answer:

Yes, when dividing a whole number by a unit fraction, multiplying the whole number by the unit fraction's denominator always works! a divided by (1/b) = a times (b/1) = (a/1) times (b/1) = ab/1 = ab. Have a blessed, wonderful day! Comment on Ian Pulizzotto's post “Yes, when dividing a whole number by a unit fracti...”

Answer:

c

Step-by-step explanation:

3x3=9

6x3=18

10x3=30

12x3=36

The answer will be option B. The net pay for the jacob will be equal to $6,188.

The amount paid by any company to the employees without any deductions like taxes or charges is called as the gross pay.

It is given that:-

Gross pay for the year was $8000

The federal tax rate he’ll need to pay is 10%.

Jacob will need to pay 5% and the FICA rate is 7.65%

So the total deductions from the gross pay will be calculated as:-

Deductions = 8000 X 10% +8000 x 5% +8000 x 7.5%

Deductions = 800+400+612=$1812

The net pay will be = 8000-1812 =$ 6188

Hence the net pay for the jacob will be equal to $6,188.

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Answer:

The dimensions of the box are;

2 feet, by 2 feet, by 4 feet

Step-by-step explanation:

The given parameters are;

The volume of the closed box = 16 ft³

The material with which the top is made = The material with which the bottom is made

The cost of the material with which the top and bottom is made = 10 cents/(ft.²)

The cost of the material with which the side is made = 5 cents/(ft.²)

Let 'x', 'y', and 'z' represent the length, width, and height of the material, we have;

x·y·z = 16...(1)

The total cost of the box = 2×10×x×y + 2×5×x×z + 2×5×y×z

∴ The total cost of the box = 20·x·y + 10·x·z + 10y·z...(2)

From equation (1)

z = 16/(x·y)

Therefore, we have;

20·x·y + 10·x·z + 10y·z. = 20·x·y + 10·x·16/(x·y) + 10y·16/(x·y)

20·x·y + 160/(y) + 160/(x)

Differentiating, we get;

f'(x) = 20·y - 160/x²

f'(y) = 20·x - 160/y²

20·y - 160/x² = 0

y = 8/x²

20·x - 160/y² = 0

x = 8/y²

∴ x = 8/(8/x²)² = x⁴/8

8 = x⁴/x = x³

x = ∛8 = 2

The length, x = 2 feet

y = 8/x² = 8/2² = 2

The width, y = 2 feet

z = 16/(x·y) = 16/(2 × 2) = 4

The height of the box, z = 4 feet

Therefore, the dimensions of the box are 2 feet, by 2 feet, by 4 feet.

Answer:

Take the angle above 128° as x.

x = 180 - 128 (linear pair)

x = 52°

a = ?

a = 180 - ( 52 + 73 ) ( the angles in a triangle add up to 180° )

a = 180 - 125

a = 55°

Answer:

135

Step-by-step explanation:

360-90=270

270/2=135

Answer:

-4 to 6

Step-by-step explanation:

The range is the y-axis, unlike the domain which is on the x-axis. So th points would go from -4, the lowest point, to 6 the highest point. If you need to specify, say intervals of 2 as -4 goes to -2, and 2 goes to 4.

Answer:

C. The value of a baseball card that is decreasing by $0.75 every 4 years.

Step-by-step explanation:

The exponential function would represent a mathematical function in the form of f(x) = a^x

where

x denotes the variable

a denotes the constant

So according to the given options, the option C would represent the exponential function

Hence, the option c is correct

Answer:

=25+2squared

Step-by-step explanation:

simple like terms

36-11=25

-5squared+7squared=2squared

=25+2squared

Answer:

49

Step-by-step explanation:

[tex]36 - {5}^{2} + {7}^{2} - 11[/tex]

[P.E.D.M.A.S rule] (First exponents)

= 36 - 25 + 49 - 11. (Then addition)

= 36 + 49 - 25 - 11

= 85 - 36. (At last subtraction)

= 49 (Ans)

Answer:

13: 40

Step-by-step explanation:

as 650 ml is given

so 2l = 2000 ml

ratio = 650 / 2000

13/40

13:40

Answer:

M = 1, C = 4

Step-by-step explanation:

Just take note that all linear equation have the form Y = Mx + C.

Here you can read directly from the equation given.

Volume of a sphere:

V = 4/3 π r ³

Differentiate V with respect to time t :

dV/dt = 4π r ² dr/dt

Surface area of a sphere:

A = 4π r ²

Differentiate A with respect to t :

dA/dt = 8π r dr/dt

You're given that the volume is increasing at a constant rate, dV/dt = 10 cm³/s, so

10 cm³/s = 4π r ² dr/dt

Solve for dr/dt (the rate of change of the sphere's radius):

dr/dt = 5/(2π r ²) cm³/s

Substitute this into the equation for dA/dt :

dA/dt = 8π r (5/(2π r ²) cm³/s)

dA/dt = 20/r cm³/s

At the moment the radius is r = 5 cm, the surface area is increasing at a rate of

dA/dt = 20/(5 cm) cm³/s = 4 cm²/s

When the surface area is increasing at a rate of dA/dt = 2 cm²/s, the radius r is such that

2 cm²/s = 20/r cm³/s

which happens when the radius is

r = 20/2 (cm³/s) / (cm²/s) = 10 cm

The triangles shown in figure are congruent by the triangle congruence postulate by ''SAS congruency'' theorem.

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

Given that;

These triangles are congruent.

Now, In both triangle shown in figure have;

⇒ One side is common. (Diagonal)

⇒ Two sides are equal.    (Given)

⇒ One pair of angle in both triangle are equal.

Hence, We get;

⇒ By SAS congruent theorem both triangles shown in figure are congruent.

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Answer:

theyre vertical angles and x is 16

Step-by-step explanation:

7x+16=128

7x=128-16

7x=112

x=112/7

x=16

hope i helped! mark as brainliest pls <3

Answer:

Vertical x = 16

Step-by-step explanation:

(7x + 16) = 128

7x = 128 - 16     -------    7x = 112

x = 112 ÷ 7

x = 16

Step-by-step explanation:

hope it will help you......

Answer:

p = 17

Step-by-step explanation:

→ Expand out (21)² - (17)²

21² = 441 and 17² = 289 therefore 441 - 289 = 152

→ Plug value back into equation

441 - p² = 152

→ Minus 441 from both sides

- p² = -289

→ Square root both sides

p = 17

9514 1404 393

Answer:

  minimum z: 3050

Step-by-step explanation:

The attached graph shows the feasible region as a white space. The dashed lines at its edges are part of the solution set. The vertex closest to the origin is the one that minimizes z: (x, y) = (59, 32).

The minimum value of z is ...

  30·59 +40·32 = 3050

Answer:

2 cans are cokes.

Step-by-step explanation:

16/1 (total cans) * 1/8 (the amount that are coke) = 16/18 = 2

Answer:

4.5x + 3.5

Step-by-step explanation:

Area = L x W so:

A = 4.5(x + 3)

A = 4.5x + 3.5

Answer:

six children

Step-by-step explanation:

six children in four groups, total of 24 children

24/4=6

Answer:

6

Step-by-step explanation:

because 24÷4=6 that is the answer

Answer:

Regression to the mean fallacy

Step-by-step explanation:

It assumes that something has returned to normal because of corrective actions taken while it was abnormal. This fails to account for natural fluctuations. It is frequently a special kind of the post hoc fallacy.

Answer:

The correct 90% confidence interval for the true average weight of mustard seeds grown in Soil Type A using the above sample data is (499.6, 556.4).

Step-by-step explanation:

We have the standard deviation for the sample, so we use the t-distribution to solve this question.

T interval

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 10 - 1 = 9

90% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 9 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.9}{2} = 0.95[/tex]. So we have T = 1.833

The margin of error is:

[tex]M = T\frac{s}{\sqrt{n}} = 1.833\frac{49}{\sqrt{10}} = 28.4[/tex]

In which s is the standard deviation of the sample and n is the size of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 528 - 28.4 = 499.6 mg

The upper end of the interval is the sample mean added to M. So it is 528 + 28.4 = 556.4 mg

The correct 90% confidence interval for the true average weight of mustard seeds grown in Soil Type A using the above sample data is (499.6, 556.4).

Answer:

1. a. z test for means and t test for means.

2. C. HA : mu1 - mu2 > 0

Step-by-step explanation:

Hypothesis testing is used in a situation where there are more than 1 alternative available. The t test is conducted in the mean which determines the t value and then this value is compared with p value to identify the situation whether to accept or reject the null hypothesis. The alternative hypothesis in this situation is is represented by mu.

Answer: hi

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

I did the math and i have no doubt

Answer:

20

Step-by-step explanation:

[tex]50*0.40=20[/tex]

Answer:

20 times at first base

Step-by-step explanation: