Which term best describes a mathematical statement of the form shown below?

If A, then B.
A.
Proof
B.
Conditional statement
C.
Conjecture
D.
Deductive statement

Answer:

820

Step-by-step explanation:

Answer:

$1,610 is Daniella's Net Worth

Step-by-step explanation:

1,425 + 3,200 – 1,350 – 825 – 6×140 = 1,610

Answer:

a) The Mean Value is 3.118

b) The Average Deviation from the Mean is 0.0416

c) The true standard deviation is approximately 0.0492

d) The standard error (deviation) of the mean, SEM is approximately 0.021982

e) The percentage error is approximately 0.751%

7. Part a;

The data set 'b' is more accurate

The set 'a' is more precise

Part b;

The number of significant figures used in reporting measured values is determined by number of digits that are actually known based on the measuring methods, with the inclusion of one more digit which is an approximation

Step-by-step explanation:

a) The given values of pi are;

3.14, 3.11, 3.20, 3.06, and 3.08

The number of data points, n = 5

Therefore, we have;

The mean, [tex]\bar x[/tex] = (∑x)/n = (3.14 + 3.11 + 3.20 + 3.06 + 3.08)/5 = 3.118

b) The Average Deviation from the Mean, MAD, is given as follows;

[tex]\dfrac{1}{n} \times \sum \limits_{i = 1}^n \left |x_i - \bar x \right |[/tex]

Therefore, we get;

[tex]MAD =\dfrac{1}{5} \times (\left |3.14 - 3.118 \right | +\left |3.11 - 3.118 \right | + \left |3.20 - 3.118 \right | + \left |3.06 - 3.118 \right | + \left |3.08 - 3.118 \right |) =0.0416[/tex]

The Average Deviation from the Mean = 0.0416

c) The true standard deviation, σ, is given as follows;

[tex]s =\sqrt{\dfrac{\sum \left (x_i-\bar x \right )^{2} }{n}}[/tex]

From MS Excel, we have;

[tex]\sum \left (x_i-\bar x \right )^{2}[/tex]= 0.01208

∴ s = √((0.01208)/((5)) ≈ 0.0491528229 ≈ 0.0492

d) The standard error of the mean, SEM is given as follows;

SEM = s/√n

∴ SEM = 0.0491528229/√5 ≈ 0.02198181065 ≈ 0.021982

e) The percentage error = (The correct value - The mean value)/(The correct value) × 100

The given correct value = 3.14159

∴ The percentage error = ((3.14159 - 3.118)/3.14159) × 100 ≈ 0.751%

7. Part a;

The given Book value = 7.86 g/cm³

A precise data are data that are close to each other, while an accurate data has value that is close to the true value

The mean of the data set are;

Set a. μₐ = (7.72 + 7.74 + 7.73 + 7.75 + 7.74)/5 = 7.736

The difference from the true value = 7.86 - 7.736 = 0.124

Set b. [tex]\mu_b[/tex] = (7.86 + 7.90 + 7.78 + 7.93 + 7.838)/5 = 7.8616

The difference from the true value = 7.86 - 7.8616 = -0.0016

Therefore, the data set 'b' is more accurate

The precision is given as follows;

The average deviation is found using the following formula;

[tex]\dfrac{1}{n} \times \sum \limits_{i = 1}^n \left |x_i - \mu \right |[/tex]

The average deviation of set a = ((7.736 - 7.72) + (7.74 - 7.736) + (7.75 - 7.736) +(7.736 - 7.73) + (7.74 - 7.736))/5 = 0.0088

The precision of set a = 7.736 ± 0.008

The average deviation of set b = ((7.8616 - 7.86) + (7.90 - 7.8616) + (7.8616 - 7.78) + (7.93 - 7.8616) + (7.8616 - 7.838))/5 = 0.04272

The precision of set b = 7.8616 ± 0.04272

due to the closeness (smaller average deviation) of set 'a' than 'b', the set 'a' is more precise

Part b;

What determines the number of significant figures used in reporting measured values is determined by the number of significant figures that is known with confidence and an extra approximation or estimated last digit.

Answer:

a1 = 4

a2 = 40

a3 = 400

a4 = 4000

Step-by-step explanation:

First substitute n with 1.

1. 4 ⋅ 10^1  - 1

4 ⋅ 10^0

4 ⋅ 1 = 4

Second substitute n with 2.

2. 4 ⋅ 10^2 - 1

4 ⋅ 10^1

4 ⋅ 10 = 40

Next substitute n with 3.

3. 4 ⋅ 10^3 - 1

4 ⋅ 10^2

4 ⋅ 100 = 400

Finally, substitute n with 4.

4. 4 ⋅ 10^4 - 1

4 ⋅ 10^3

4 ⋅ 1000 = 4000

It's simple. Just plug in 1, 2, 3, and 4 into n and solve the equation.

Answer:

Step-by-step explanation:

I attached a picture below of what this situation looks like. As you can see, it is a right triangle problem. In order to solve for the speed of the boat, we first need to find out the difference between his distances when the angle is 60 and when it is 45. That's the same thing as finding x and y then subtracting. To find x:

[tex]sin60=\frac{200}x}[/tex] so

x = 231 meters (I rounded to the nearest whole numbers in this problem.

To find y:

[tex]sin45=\frac{200}{231+y}[/tex] so

[tex]y=\frac{200}{sin45}-231[/tex] and

y = 52.

The distance between the angles 60 and 45 as 52 meters, and it took him 2 minutes to travel that 52 meters. Assuming that his rate doesn't change, he can travel 52/2 meters per minute, or 26 meters per minute.

Answer:

7

Step-by-step explanation:

a=2

b=2

c=1

2ab cos C=a²+b²-c²=2²+2²-1²=4+4-1=7

Answer:

C

Step-by-step explanation:

Given

a² + b² - 2abcosC = c² ( subtract c² from both sides )

a² + b² - c² - 2abcosC = 0 ( add 2abcosC to both sides )

a² + b² - c² = 2abcosC

Here a = 2, b = 2, c = 1 , then

2² + 2² - 1² = 2abcosC

4 + 4 - 1 = 2abcosC , then

2abcosC = 7 → C

Answer:

x= -24

Step-by-step explanation:

multiply both sides by 12, then you'll have x= -24

Answer:

C. 4.53

Step-by-step explanation:

So we know that the total among these angles measure 180°

(straight lines paralleled with r and s) those lines are 180 degrees.

So subtract 180° - 116° to get rid of the other angle

180° - 116 = 64°

Then use the statement below to identify the value of y.

[tex]15y-4=64[/tex]

[tex]15y+4[/tex] = +4     It's easier if you add 4 to both sides

[tex]15y=68[/tex]          Solve for y

y = 4.53

Answer: number 1: 7/14

number 2: 16/24

Step-by-step explanation:

Answer:

The correct equation is 8.7 + b = 54.6

Step-by-step explanation:

because it is given that measure of side a is 8.7cm, in all other equations the values of a is different.

=========================================================

Explanation:

The volume of any block is V = L*W*H where L,W,H represents length, width and height respectively. The order of multiplication doesn't matter.

The volume of the block on top is 16*4*4 = 256 cubic feet. The "16" is from the fact we subtract the 20 ft and 4 ft.

The volume of the block underneath is 10*4*4 = 160 cubic feet

Add the two volumes to get the final answer: 256+160 = 416 cubic feet.

We can abbreviate "cubic feet" into "ft^3" without quotes.

Answer:

90°

Step-by-step explanation:

[tex]x + 90 \degree = 180 \degree \\ (linear \: pair \: \angle s) \\ \therefore \: x = 180 \degree - 90 \degree \\ x = 90 \degree [/tex]

Answer:

9*6*7=378 square inches

Step-by-step explanation:

Using the formula V=lwh you just need to substitute the given length, width, and height. So V=9 x 6 x 7

Answer: Ricardo put 8 books on each shelf.

Step-by-step explanation:

Given: Number of books = 32

Number of shelves = 4

We use division operation to divide an amount into different sections equally.

By division operation,

The number of books put on each shelf = (32) ÷ 4

i.e. The number of books put on each shelf  = 8

Therefore, Ricardo puts 8 books on each shelf.

x³ + ax² + 5x + 3. x + 2 = 0

x = -2

(-2)³ + a(-2)² + 5(-2) + 3 = 0

-8 + 4a - 10 + 3 = 0

4a - 15 = 0

4a = 15

a = 15/4

Answer:

1a)  C = 600 + 5n

1b)  R = 6n

Step-by-step explanation:

Answer:

1.

    a) $600+5n = C

    b) 6n = R

Step-by-step explanation:

For the cost to throw the event, we have to add $100+$500, the decorations and the DJ and then we have to add the variable for people times 5 since it is 5 per person. $100+500 = $600 and 5* n (the variable for people in the question)

We are adding the two terms so the final equation will be equal to:

600+5n

for b), we have to use the variable n for tickets times the constant 6 since it costs 6 dollars per person to enter, and that will be equal to the revenue the student council earns or R.

6*n = 6n

Now we have:

6n=R

Given:

The table that represents the drink sales for an afternoon at the school carnival.

To find:

The experimental probability that the next drink is a small coffee.

Solution:

From the given table it is clear that,

The total number of drinks sold = 72+99+63+68+47+58

                                                     = 407

The number of small coffee sold = 63

Now, the experimental probability that the next drink is a small coffee is:

[tex]\text{Probability}=\dfrac{\text{Number of small coffee sold}}{\text{Total number of drinks sold}}[/tex]

[tex]\text{Probability}=\dfrac{63}{407}[/tex]

It cannot be simplified further.

Therefore, the experimental probability that the next drink is a small coffee is [tex]\dfrac{63}{407}[/tex].

Given:

15,000 ones, 1,500 tens ,15 thousands, 15,000, 15 ten thousands.

To find:

The odd one out.

Solution:

First, we need to convert all the values in the standard form of a number.

[tex]15000\text{ ones}=15000\times 1[/tex]

[tex]15000\text{ ones}=15000[/tex]

Similarly,

[tex]1500\text{ tens}=1500\times 10[/tex]

               [tex]=15000[/tex]

[tex]15\text{ thousands}=15\times 1000[/tex]

                     [tex]=15000[/tex]

[tex]15\text{ ten thousands}=15\times 10000[/tex]

                           [tex]=150000[/tex]

The standard form of all numbers is 15,000 except 15 ten thousands.

Therefore, the odd one out is 15 ten thousands.

Answer:

Step-by-step explanation:

a+(-a)

=a-a

=0

Answer:

a = 9

Step-by-step explanation:

this shape is an isosceles trapezoid where the pair of non-parallel sides are equal; therefore we can set up this equation to find 'a'

P = a + a + 2 + 8

28 = 2a + 10

18 = 2a

a = 9

Check:

9(2) + 2 + 8 = 28

18 + 10 = 28

28 = 28

Answer:

HELLO I am tried to solve your question and I found 2 answer

Step-by-step explanation:

firstly we need discriminant to find x values.

you know we use b²-4ac formule to find discriminant

and this value (-3)²-[4*√2*(-2√2)]=-7 this means X hasn't reel value. let's continue.. if we want to find x value we use disc. and [-b±√∆]/2a one x value is [3+√7i]/2√2. and other is [3-√7i]/2√2

Answer:

x=0.94280

Step-by-step explanation:

see the photos it will explain how I got the answer

Answer:

16.35

Step-by-step explanation:

Using an inverse normal distribution, we can calculate the z score given the percentile, which can then be used to find our value.

First, we can use an inverse normal distribution calculator to figure out that the z score given the 75th percentile is 0.674.

Next, we know that the z score is (observed value - mean) / standard deviation. We can plug our values in to get

[tex]\frac{x-15}{2} = z\\\frac{x-15}{2} = 0.674\\x-15 = 0.674 * 2\\x = 0.674 * 2 + 15\\x= 16.348[/tex]

Rounding, we get x = 16.35 as our answer

Answer:

(0, 4)

(1, 5)

(-1, 3)

Step-by-step explanation:

the function is already in slope-intercept form (y=mx+b). B is the y intercept and mx is the slope. The equation y=x+4 means that there is a y intercept of 4 and a slope of 1. So, y intercept is when x is equal to 0 which means one of your points will be (0,4). The next point will be 1 unit up and 1 unit to the right of the point (0, 4) and the third point will be 1 unit down and 1 unit to the left of (0, 4). This gives you the points (1, 5) and (-1, 3)

Answer:

Step-by-step explanation:

go to the back of the book

Answer:

Time in air is 7.5 s.

Step-by-step explanation:

initial height, h = 0.125 feet

initial velocity, u = 80 ft/s

final height, h' = 5 ft

acceleration due to gravity, g = 32 ft/s^2

Let the time is t to reach the maximum height.

v = u - gt

0 = 80 - 32 t

t = 2.5 s

Let the time is t' from top to ground.

[tex]s = u t + 0.5 gt^2\\\\5 = 80 t - 16 t^2\\\\16 t^2 - 80 t + 5 = 0 \\\\t = \frac{80\pm\sqrt{6400 - 320}}{32}\\\\t = \frac{80\pm78}{32}\\\\t = 5 s or 0.0625 s[/tex]

So the tie is 5 s

The time in air is

T = 2.5 + 5 = 7.5 s  

Answer:

A rectangle always has... 4 sides, 4 angles, all right angles, and opposite sides parallel

Answer:

A, B, D, E

Step-by-step explanation:

A   4 sides

В.   4 angles

D.   all right angles

E    opposites sides parallel

Answer:

?

Step-by-step explanation:

Answer:

.13 dollars/ ounce

Step-by-step explanation:

Take the prices and divide by the number of ounces

3.12 dollars/ 24 ounces

.13 dollars/ ounce

Answer:

3.12 divided by 24 will tell you how much it cost per ounce

Step-by-step explanation: