caulute 1.6 times 0.215


20 POINTS!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answer:

0.2210

Step-by-step explanation:

If p = 0.04

then 1-p = 1 - 0.04 = 0.96

So we have the probability distribution value

as;

n C r * p^r * (1-p)^(n-r)

Thus;

64 C 3 * p^3 * (1-p)^(64-3)

= 64 C3 * 0.04^3 * 0.96^61

where 64 C 3 is 64 combination 3

= 41,664 * 0.04^3 * 0.96^61

= 0.2210

The system of equations has infinitely many solutions.

In order to graphically determine the solution for this system of linear equations on a coordinate plane, we would make use of an online graphing calculator to plot the given system of linear equations while taking note of the point of intersection;

x + 2y = 4           ......equation 1.

y = -1/2(x) + 2       ......equation 2.

By critically observing the graph (see attachment), we can see the line representing this system of equations extends infinitely and coincide, we can reasonably infer and logically deduce that they have infinitely many solution (infinite number of solutions).

In conclusion, every point located on this line would satisfy the system of linear equations as shown in the image attached below.

Read more on solution and equation here: brainly.com/question/25858757

#SPJ1

The paper clip costs $0.05 and the folder Costs $1.00 more, which is $1.05. Together, they add up to the total of $1.10.

Let's solve this problem step by step:

Let's assume the cost of the paper clip is x dollars.

According to the information given, the folder costs $1.00 more than the paper clip, so the cost of the folder would be (x + $1.00).

The total cost of the folder and the paper clip is $1.10, so we can write the equation:

x + (x + $1.00) = $1.10

Combining like terms, we have:

2x + $1.00 = $1.10

Subtracting $1.00 from both sides of the equation, we get:

2x = $0.10

Dividing both sides by 2, we find the value of x:

x = $0.10 / 2

x = $0.05

Therefore, the paper clip costs $0.05.

In summary, the paper clip costs $0.05 and the folder costs $1.00 more, which is $1.05. Together, they add up to the total of $1.10.

For more questions on Costs .

https://brainly.com/question/25109150

#SPJ8

Answer:

a

Step-by-step explanation:

Answer:

-25

Step-by-step explanation:

\(-5^2=-25\)

Answer:

1

Step-by-step explanation:

m=2

3m²- 2m- 7

3(2)² -2(2) -7

3(4)- 4- 7

12- 4- 7= 1

Answer:9 cm long

Step-by-step explanation:

7 + 2 = 9

so that will be the total

Answer:

-2 -1,1, and 2 only

Step-by-step explanation:

The readability of a double-pan torsion balance is typically very small, usually in the range of a few milligrams (mg). This is because the double-pan torsion balance is a highly sensitive instrument used to measure very small masses.

The readability of a double-pan torsion balance is determined by the sensitivity of the torsion spring which is used to measure the mass on the scale pans. The higher the sensitivity of the torsion spring, the higher the readability of the double-pan torsion balance. The readability of a double-pan torsion balance is typically in the range of 0.1 to 0.5 mg.

This allows the balance to measure very small increments with a high degree of accuracy and precision. The readability of a double-pan torsion balance is critical for accurate measurements of very small masses, such as in the pharmaceutical, chemical and food industries.

know more about torsion balance here

https://brainly.com/question/28876843#

#SPJ11

There is proof that the equation; a²+b²+c²-ab-bc-ca = ((a - b)/√2)²  ((b - c)/√2)²  ((c - a)/√2)²

We can start by expanding the right-hand side of the equation:

((a - b)/√2)² ((b - c)/√2)² ((c - a)/√2)²

= (a² - 2ab + b²)/2 * (b² - 2bc + c²)/2 * (c² - 2ac + a²)/2

= (a⁴ - 2a³b + 3a²b² - 2ab³ + b⁴)/8 * (b⁴ - 2b³c + 3b²c² - 2bc³ + c⁴)/8 * (c⁴ - 2a³c + 3a²c² - 2ac³ + a⁴)/8

Multiplying out the terms, obtain:

(a⁴b⁴ - 2a³b⁵ + 3a²b⁶ - 2ab⁷ + b⁸)/512

(b⁴c⁴ - 2b³c⁵ + 3b²c⁶ - 2bc⁷ + c⁸)/512

(a⁴c⁴ - 2a³c⁵ + 3a²c⁶ - 2ac⁷ + c⁸)/512

Now, we can simplify the left-hand side of the equation by using the identity (a-b)² = a² - 2ab + b²:

a² + b² + c² - ab - bc - ca

= (a² - 2ab + b²) + (b² - 2bc + c²) + (c² - 2ca + a²)

= 2(a² - ab - ca) + 2(b² - bc - ab) + 2(c² - ca - bc)

= 2(a - b)(a - c) + 2(b - c)(b - a) + 2(c - a)(c - b)

= 2[(a - b)(c - a) + (b - c)(a - b) + (c - a)(b - c)]

= 2[(a² - ab - ca - ac + b² - bc + ba - cb + c² - ca - cb)]

= 2[(a² + b² + c² - ab - bc - ca)]

Substituting this back into the original equation:

a² + b² + c² - ab - bc - ca = ((a - b)/√2)² ((b - c)/√2)² ((c - a)/√2)²

Therefore, the equation is proved.

Find out more on proving equations here: https://brainly.com/question/28767962

#SPJ1

Part A: To find the total surface area of the rectangular prism, we need to calculate the areas of all six faces and then add them together.

Given dimensions:

Length = 7 feet

Width = 3 feet

Height = 4.8 feet

Surface Area of each face:

Front and back faces: Length * Height

= 7 feet * 4.8 feet

= 33.6 square feet

Top and bottom faces: Width * Length

= 3 feet * 7 feet

= 21 square feet

Side faces: Width * Height

= 3 feet * 4.8 feet

= 14.4 square feet

Total Surface Area:

2 * (Front and back faces) + 2 * (Top and bottom faces) + 2 * (Side faces)

= 2 * 33.6 square feet + 2 * 21 square feet + 2 * 14.4 square feet

= 67.2 square feet + 42 square feet + 28.8 square feet

= 137 square feet

Therefore, the total surface area of the bench is 137 square feet.

Part B: To calculate the cost of covering the bench with ceramic tiles, we need to multiply the total surface area by the cost per square foot.

Cost per square foot = $0.89

Total Surface Area = 137 square feet

Total cost to cover the bench:

= Cost per square foot * Total Surface Area

= $0.89 * 137 square feet

= $121.93

Therefore, it will cost $121.93 to cover the bench with ceramic tiles.

The equation of a plane passing through three points can be found using the point-normal form of the equation for a plane.

First, find two vectors that lie in the plane by subtracting one point from the other two points. Then, take the cross product of these two vectors to find the normal vector to the plane.

Using the normal vector and one of the points, the equation of the plane can be written as:

(ax - x1) + (by - y1) + (cz - z1) = 0

where a, b, and c are the components of the normal vector, and x1, y1, and z1 are the coordinates of the chosen point.

To find the specific values for a, b, c, and the chosen point, substitute the coordinates of the three given points into the equation. Then, solve the resulting system of equations for the variables.

Once the values for a, b, c, and the chosen point are determined, the equation of the plane passing through the three points can be written in point-normal form as described above.

Know more about point-normal form here:

https://brainly.com/question/33062179

#SPJ11

Answer:  the value of f′′′(4) is 3/256.

Step-by-step explanation:

Given the third-degree Taylor polynomial:

f(x) = (x−4)³/512 − (x−4)²/64 + (x−4)⁴/2

To find the value of f′′′(4), we need to differentiate the polynomial three times and evaluate it at x = 4.

First derivative:

f'(x) = 3(x−4)²/512 − 2(x−4)/64 + 4(x−4)³/2

Second derivative:

f''(x) = 6(x−4)/512 − 2/64 + 12(x−4)²/2

Third derivative:

f'''(x) = 6/512 + 24(x−4)/2

Now, substitute x = 4 into f'''(x):

f'''(4) = 6/512 + 24(4−4)/2

= 6/512 + 0

= 6/512

= 3/256

Therefore, the value of f′′′(4) is 3/256.

Answer: No

Step-by-step explanation: no because one is negative 1 3/4 and the other one isint in the negatives

The sum of -1 3/4 and 2 1/2 is the same as the difference between 2 1/2 and 1 3/4 by cumulative property.

A summation, also abbreviated as a sum, is the outcome of adding two or more numbers or quantities. Here are always an integer number of terms in a summation. There are summations with an infinite set of parameters.

The summation is to add or subtract any two or more terms by doing that operation we will get a new result which could be big or small depending upon the number.

Cumulative property is the property summation states;

x + y will be equal to y + x ⇒ x +y = y + x

Now given,

The sum of  -1 3/4 and 2 1/2 ⇒  -1 3/4 + 2 1/2  

By cumulative property,

-1 3/4 + 2 1/2   = 2 1/2 + -1 3/4

The difference between 2 1/2 and 1 3/4 ⇒  2 1/2 -  1 3/4

Hence "The sum of -1 3/4 and 2 1/2 is the same as the difference between 2 1/2 and 1 3/4 by cumulative property".

For more information about summation,

brainly.com/question/10777222

#SPJ2

Answer:

-1/1

Step-by-step explanation:

go down 2

go right 2

-2/2

simplify

-1/1

Answer:

10,200 Dollars

Step-by-step explanation:

First, converting R percent to r a decimal

r = R/100 = 6%/100 = 0.06 per year.

Solving our equation:

A = 7500(1 + (0.06 × 6)) = 10200  

A = $10,200.00

The terms are "organize, simplify, and summarize data" and "use sample data to reach general conclusions about populations."

Based on these terms, the first term refers to data visualization techniques such as charts, graphs, and infographics. These visual representations help to organize, simplify, and summarize data, making it easier to understand and interpret. On the other hand, the second term refers to statistical inference.

Statistical inference involves using sample data to draw conclusions or make predictions about larger populations. By analyzing a subset of data (sample), we can make generalizations or inferences about the entire population.

This is a common practice in various fields, including market research, social sciences, and public health. Overall, data visualization techniques help us understand data, while statistical inference allows us to make broader conclusions based on sample data.

Know more about data visualization here:

https://brainly.com/question/30328164

#SPJ11

Answer:

i think its 78.5 but the answers not on there the closest one there to it is 76.5 so just put that one

Step-by-step explanation:

Answer:

88 would be the answer maybe.....

Answer:

88

Step-by-step explanation:

Answer:

A) The second day

B) 9/16 inches

A) Elsa reached farther on the second day because -1/16 > -5/8

B) To calculate this we must first put both fractions above the same denominator. We can then subtract the smaller one from the bigger one:

-1/16 - (-10/16) = 9/16

Elsa reached 9/16 inches farther on the second day then she did on the first.

Hope this helps and have a great day!

Also stay safe! :))))

Answer:

n(B U S) = 75

Step-by-step explanation:

P(E) =  

Let 'B' be the event of having twelve year old brother

Let 'S' be the event of having twelve year old sister

given data  P(BUS) = 0.25

given total survey  n(survey) = 300

we have to find the value is n(BUS) =?

we will use probability definition we get, P( BUS) =

substitute given values, we will get solution

after cross multiplication , we get

n(BUS) = 0.25 X 300

n(BUS) = 75

Answer:

75 twelve-year-olds will have a brother or sister

25% of 300 = 75

Step-by-step explanation:

Step 1: Our output value is 300.

Step 2: We represent the unknown value with x

Step 3: From step 1 above, 300=100%.

Step 4: Similarly, x=25%

Step 5: This results in a pair of simple equations:

300=100% (1).

x=25% (2).

Step 6: By dividing equation 1 by equation 2 and noting that both the RHS (right hand side) of both

equations have the same unit (%); we have

300/x    100%/25%

Step 7: Again, the reciprocal of both sides gives

x/300     25/100

x=75

Therefore, $25% of 300 is 75

Answer:

a. 13/3

b. 3 3/4

d. 1 7/8

c. 7/2

Step-by-step explanation:

a. 4 1/3 given

4*3=12 multiply the whole numbers with the denominator

12+1 =13 add the numerator to the product

13/3 put sum over denominator

b. 15/4 given

15/4=3 with a remainder of 3 divide numerator by denominator

3 3/4 rewrite as mixed number

d. 15/8 given

15/8=1 with a remainder of 7 divide numerator by denominator

1 7/8 rewrite as mixed number

c. 3 1/2 given

3*2=6 multiply whole number by denominator

6+1=7 add numerator to product

7/2 put sum over denominator

The volume of the dodge ball is greater than that of soccer ball by a number of 4.11 times

The volume of a sphere can be defined as the amount of space occupied within a sphere.

The formula for calculating the volume is:

V = 4/3 πr∧ 3

Where π = 3.14

radius of the dodge ball = 10in

radius of the soccer ball = 3in

Volume of the dodge ball = 4 ÷ 3 × 3.14 × 10 × 10 × 10 = 4÷ 3 × 3140 = 1.3 ×3140 = 453. 33in∧3

Volume of the soccer ball = 4 ÷ 3 × 3.14 × 3 × 3 × 3 = 1.3 × 87.78 = 110. 214in∧3

To determine the ratio of volume of the dodge ball to the soccer ball, divide that of the soccer ball from  the dodge ball.

= 453. 33 ÷ 110. 214 = 4.11

Therefore, the volume of dodge ball is greater than that of the soccer ball by 4.11 times.

Learn more about the volume of a sphere here:

https://brainly.com/question/10171109

#SPJ4

Answer:

x = -2 or x = -16

Step-by-step explanation:

We need to find the absolute value of x and to do that we need to follow the below process:

|x+9| = 7 get rid of brakes

x+9 = 7 or x+9 = -7

if

x+9 = 7 subtract 9 from both sides

x = -2

if

x+9 = -7 subtract 9 from both sides

x = -16

Answer:

Step-by-step explanation:

First, you need to graph all given points in the table, that way you will be able to determine the end behavior.

Remember, the end behavior of a function is the behavior of f(x) as x approaches to positive infinity and negative infinity.

So, based in the graph, we can say that as x approaches to positive infinity, f(x) approaches to negative infinity, and as x approaches to negative infinity, f(x) approaches to negative inifinity. In other words, in either case, f(x) always approaches to negative infinity.

Therefore, the right answer is the last choice.

Answer:

As x → ∞, f(x) → –∞, and as x → –∞, f(x) → –∞

Step-by-step explanation:

Just took the test!!!

Answer:

Step-by-step explanation:

The key to answering this is to know that the only time you'll change the direction of the sign is when you multiply or divide by a negative number.

-46 - 8x > 22

-8x > 22 + 46

-8x > 68

x < 68/-8        (we divided by -8 so the inequality changed direction)

x < -17/2

Step-by-step explanation:

-46 - 8x > 22: Original problem

-46 - 8x + 46 > 22 + 46: Bringing all the constants to one side of the inequality

-8x > 68: Simplification

x < 68/-8 : You have to flip the inequality symbol because you are dividing by                                

                  a negative number..

x< -8.5 : The answer!!!!!

Checking your answer....

-46 - 8x > 22 : Original problem

-46 - 8(-8.5) > 22 : Substitution

-46 + 68 > 22 : Simplification

22 > 22 : Answer check successful!!!

(22 is not greater than 22 but we know that the answer cannot be -8.5 because the inequality states that x is less -8.5. This process was only for the purpose of checking not for the purpose of proving)

Hope this helps!!!!

Answer:

2 units

Step-by-step explanation:

From the sides of the coordinate vertices PQ, you count how much coordinates on a graph it takes to get to one point as length.

Using your own examples, explain why all statements are sentences but not all sentences are statements. Clearly indicate which type of non-statement you have used in each case. (Your response should be between 500 and 600 words).

Answer:

0.285714 -> 0.29

Step-by-step explanation:

The mean of this set of average daily summer temperatures for a seven-day period for a certain city is 87

The stem plot represents the given data

The mean value is calculated as:

Mean =Sum/Count

So, we have

Mean = (76 + 80 + 85 + 88 + 91 + 92 + 97)/7

Evaluate the sum

So, we have

Mean = 609/7

Evaluate the quotient

So, we have

Mean = 87

Hence, the mean of this set of average daily summer temperatures for a seven-day period for a certain city is 87

Read more about mean at:

https://brainly.com/question/20118982

#SPJ1