Complete the table for the given rule.
Rule: y is 3 less than x
X Y
10
8
6

Answer:

d. and e.

Step-by-step explanation:

i did the test

Option A and Option D represents the equation of area of rectangular piece which are A=4×[tex]2\frac{1}{2}[/tex] and A=4×5/2.

The area of Rectangle is length times of width.

Given that A rectangular piece of glass is shown.

The length is measured as 4 feet.

The width is measured as 2 and one-half feet.

We have to find the  equations can be used to find the area of the piece of glass.

Area=Length×width

Area=4 feet × 2 and one-half feet

=4×[tex]2\frac{1}{2}[/tex]

=4×5/2

Hence, Option A and Option D represents the equation of area of rectangular piece which are A=4×[tex]2\frac{1}{2}[/tex] and A=4×5/2.

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Answer:

D

Step-by-step explanation:

Answer:

[tex]\boxed {\boxed {\sf D. \ 64x^{12}y^6z^2}}[/tex]

Step-by-step explanation:

This is an example of a power to a power. The exponents inside the parentheses are being raised to another power outside the parentheses. We multiply the exponents and take the coefficients (number in front of the variables) to the power.

[tex](8x^6y^3z)^2[/tex]

Remember that a variable without an exponent has an implied exponent of 1.

[tex]8^2x^{6*2}y^{3*2}z^{1*2}[/tex]

Solve the coefficient's exponent.

[tex]64x^{6*2}y^{3*2}z^{1*2}[/tex]

Multiply the exponents.

[tex]64x^{12}y^{6}z^{2}[/tex]

So, the expression given is equal to Choice D: 64x¹²y⁶z²

Answer:

29π/12.

Step-by-step explanation:

Multiply by π/180

= 435π/180

= 29π/12 radians.

Answer:

the second option because it's three times the width so it would be time the W

Step-by-step explanation:

Answer:

the guy above me is correct

Step-by-step explanation:

just did the test got a 100%

Answer:

A prediction based on the data is reliable, because the means of the samples are close together.

Step-by-step explanation:

Test approved

The most accurate statement is A. A prediction based on the data is reliable, because the means of the samples are close together.

Mean of a set of data is defined as the average of all the values. It gives the exact middle point of the data set.

Given three data sets.

All the samples have 10 data points.

Number of data points = 10

Mean of sample 1 = 9.1

Mean of sample 2 = 9.4

Mean of sample 3 = 8.9

We can see that the mean of the three samples is so close to each other.

So the data is reliable.

Hence the option is A.

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Answer:

Speed = distance / time

= 6/3 =2 ft/sec

Time = distance / speed

= 60/2

= 30 seconds

Answer:

x is 44 because

3x+4+x=180

4x=180-4

4x=176

x=44

Answer:

The sister is 25.5. The brother is 28.5.

Step-by-step explanation:

25.5 + 28.5 = 54.

The boy's age is 9.

The girl's age is 12.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

Boy's age = x

Girl's age:

y = x + 3

Now,

x (x + 3) = 54

x² + 3x - 54 = 0

x² + (9 - 6) - 54 = 0

x² + 9x - 6x - 54 = 0

x(x + 9) - 6(x + 9) = 0

x - 6 = 0

x = 6

x + 9 = 0

x = -9 ( cannot be negative)

Now,

x = 9

Boy's age = 9

Girl's age = 9 + 3 = 12

Thus,

The boy's age and the girl's ages are 9 and 12.

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Answer:

I. p = 7

II. 17 litres

Step-by-step explanation:

I. Determination of the value of p

Mean = 17.7

p =.?

Let the number of litre be L

Let the number of motorist be M

Mean = summation LM / summation M

Summation of LM = (16×11) + (17×10) + (18×p) + (19×4) + (20×8)

= 176 + 170 + 18p + 76 + 160

= 582 + 18p

summation M = 11 + 10 + P + 4 + 8

= 33 + p

Mean = summation LM / summation M

17.7 = 582 + 18p / 33 + p

Cross multiply

17.7(33 + p) = 582 + 18p

584.1 + 17.7p = 582 + 18p

Collect like terms

584.1 – 582 = 18p – 17.7p

2.1 = 0.3p

Divide both side by 0.3

p = 2.1 / 0.3

p = 7

II. Determination of the median number of litre.

Let the number of motorist be M (i.e the frequency)

summation M = 11 + 10 + P + 4 + 8

p = 7

summation M = 11 + 10 + 7 + 4 + 8

summation M = 40

The median is the middle term i.e

Median = (summation M / 2)ᵀʰ motorist

Median = (40 / 2)ᵀʰ motorist

Median = 20ᵀʰ motorist

Considering the table in the question above, the 20ᵀʰ motorist has 17 litres.

Therefore, the median number of litres is 17 litres.

Answer:

A. x^2−x+6

B. 2x^2−11x+12

C. x^2−4

Step-by-step explanation:

Hope it helps

A. Distribute:

=(x)(x)+(x)(−3)+(2)(x)+(2)(−3)

=x2+−3x+2x+−6

Combine Like Terms:

=x2+−3x+2x+−6

=(x2)+(−3x+2x)+(−6)

=x2+−x+−6

B. I can't find an explanation

C.  I can't find an explanation

Answer:

So we apply the distributive property to get

a) x^2 - 3x + 2x - 6

b) 2x^2 - 8x - 3x + 12

c) x^2 - 2x + 2x - 4

then we add like terms to get

a) x^2 - x - 6

b) 2x^2 - 11x + 12

c) x^2 - 4

brainliest please?

Answer:

you 3.15+5 es igual a 8 .15

Step-by-step explanation:

espero que te sirva

Answer:

your answer will be option B

Step-by-step explanation:

[tex]\frac{10}{12} =\frac{a}{38} \\\\a=\frac{(10) (38)}{12} \\\\=31.6[/tex]

Answer:

0.343

Step by step explanation:

 0. 3 4 3

8    2. 7 5 0

− 0      

 2 7    

− 2 4    

   3 5  

 − 3 2  

     3 0

   − 2 4

       6

Answer:

2.57-0.4-0.4-0.4=1.37

2.57-0.4-0.4=1.77

so the answer is 1.37 between 3.77

Step-by-step explanation:

Answer:

Step-by-step explanation:

a+b=58 and 4a-2b=28 is the system of equations

solving the first for a, a=58-b, using this value for b in second equation is

4(58-b)-2b=28

232-4b-2b=28

232-6b=28

-6b=-204

b=34, and since a=58-b

a=58-34

a=24

So the two numbers are 24 and 34

(5x + 2) + (4x + 5)

= 5x + 2 + 4x + 5

= 5x + 4x + 5 + 2

= 9x + 7

Answer:

The monthly service charge

Step-by-step explanation:.

Answer:

x≥1

Step-by-step explanation:

Answer:

21x+−6

work:

Combine Like Terms:

=8x+3x+10x+−6

=(8x+3x+10x)+(−6)

=21x+−6

Answer:

21x-6

Step-by-step explanation:

8x+3x+10x-6

8x+3x=11x+10x+21x

21x-6

you can only combine like terms

Answer:

A

Step-by-step explanation:

[tex]\frac{3}{11} = 0.2727272727[/tex]

27 is repeating so you draw a line over the number

Answer: 0.27 thats the answer hope you pass your grade

Answer:

2nd answer choice :)

Step-by-step explanation:

The new figure produced is given below.

Option C is the correct answer.

A scale factor is defined as the ratio between the scale of a given original object and a new object,

We have,

Let the figure be in the first quadrant.

Now,

Rotation of 180-degree means,

The figure will be in the third quadrant.

Now,

Dilation with a factor of 1/2.

This means,

The figure will shrink by 1/2.

Thus,

The new figure is given below.

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Answer:

d. 260. is the answer.

Answer:

11. 78

12. 4x² - 3x - 1

Step-by-step explanation:

11. Sum of n whole numbers = ½(n² + n)

Multiply

½*n² + ½*n

= n²/2 + n/2

To find the sum of the first 12 whole number, substitute 12 for n into the equation.

= 12²/2 + 12/2

= 144/2 + 12/2

= 72 + 6

= 78

12. Area of trapezoid = ½(a + b)*h

Where,

a = 5x - 4

b = 3x + 2

h = x + 1

Area = ½(5x - 4 + 3x + 2)*(x + 1)

Area = ½(8x - 2)*(x + 1)

Area = ½[8x(x + 1) -2(x + 1)]

= ½[8x² + 8x - 2x - 2]

Add like terms

= ½(8x² - 6x - 2)

= ½(8x²) - ½(6x) - ½(2)

= 4x² - 3x - 1

Answer: x^2-5x+1

Step-by-step explanation:

A P E X

6(3+2)

Step-by-step explanation:

that xas factor of 18+12

Answer:

30:)

Step-by-step explanation:

I think it's 30!!!!!

Answer:

its A

Step-by-step explanation:

Answer:

A. y=5.50x

Step-by-step explanation:

Brainlist plz

Answer:

21

Step-by-step explanation:

asdawda

Answer:

a) 0.1536 = 15.36% probability that exactly two of the four components last longer than 1000 hours.

b) 0.9728 = 97.28% probability that the subsystem operates longer than 1000 hours.

Step-by-step explanation:

For each component, there are only two possible outcomes. Either they fail in less than 1000 hours, or they do not. The probability of a component failing in less than 1000 hours is independent of any other component. This means that we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

One subsystem has four identical components, each with a probability of 0.2 of failing in less than 1000 hours.

Four components means that [tex]n = 4[/tex]

Probability of 0.2 of failling means that 1 - 0.2 = 0.8 probability of not failling, so [tex]p = 0.8[/tex]

a) Find the probability that exactly two of the four components last longer than 1000 hours.

This is [tex]P(X = 2)[/tex]. So

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 2) = C_{4,2}.(0.8)^{2}.(0.2)^{2} = 0.1536[/tex]

0.1536 = 15.36% probability that exactly two of the four components last longer than 1000 hours.

b) Find the probability that the subsystem operates longer than 1000 hours.

It will operate if at least two compoents last longer than 1000 hours. So

[tex]P(X \geq 2) = P(X = 2) + P(X = 3) + P(X = 4)[/tex]

In which

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 2) = C_{4,2}.(0.8)^{2}.(0.2)^{2} = 0.1536[/tex]

[tex]P(X = 3) = C_{4,3}.(0.8)^{3}.(0.2)^{1} = 0.4096[/tex]

[tex]P(X = 4) = C_{4,4}.(0.8)^{4}.(0.2)^{0} = 0.4096[/tex]

[tex]P(X \geq 2) = P(X = 2) + P(X = 3) + P(X = 4) = 0.1536 + 0.4096 + 0.4096 = 0.9728[/tex]

0.9728 = 97.28% probability that the subsystem operates longer than 1000 hours.