A set of equations is given below:

Equation A: y = x + 9
Equation B: y = 2x + 1

What is the solution (
,
) to the given set of equations?

Answer:

Step-by-step explanation:

5[tex]\pi[/tex]=15.70...

To round a number to the nearest tenth , look at the next place value to the right (the hundredths)which is 0 in this question.

Thus, it will become 15.7

The circumference of the circle is 5π mm or 15.7 mm if the diameter of the nickel (circle) is 5 millimeters.

It is described as a set of points, where each point is at the same distance from a fixed point (called the center of a circle)

It is given that:

The diameter of the nickel (circle) is 5 millimeters

D = 5 millimeters

The circumference of the circle = πD

Plug D = 5 millimeters in the above formula:

The circumference of the circle = 5π mm

As we know,

π = 3.141 ≈ 3.14 (Rounded to the nearest the Hundredths Place)

The circumference of the circle = 5π = 15.70796 mm

The circumference of the circle = 15.70796 = 15.7 mm

(Rounded to the nearest Tenths Place)

Thus, the circumference of the circle is 5π mm or 15.7 mm if the diameter of the nickel (circle) is 5 millimeters.

Learn more about circle here:

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#SPJ2

Answer:

300

Step-by-step explanation:

Answer:

After correcting the error, IQR remains unchanged while standard deviation reduced drastically from 26.3 to 2.04

Step-by-step explanation:

Given the data:

3 5 6 7 7 8 8 8 9 9 9 10 102

Ordered data: 3, 5, 6, 7, 7, 8, 8, 8, 9, 9, 9, 10, 102

The interquartile range (IQR) for the data:

IQR = Q3 - Q1

Q3 = 3/4(n + 1) th term.

n = sample size = 13

Q3 = 3/4(14) = 10.5th term

Q3 = (10 + 11)th term / 2 = (9+9)/2 = 9

Q1 = 1/4(14) = 3.5th term

Q3 = (3 + 4)th term / 2 = (6+7)/2 = 6.5

IQR = Q3 - Q1 = 9 - 6.5 = 2.5

THE STANDARD DEVIATION :

Sqrt[Σ(X - m)²/n-1]

Using calculator :

Standard deviation = 26.3

Correcting error in the data:

3 5 6 7 7 8 8 8 9 9 9 10 10.2

Q3 = 3/4(n + 1) th term.

n = sample size = 13

Q3 = 3/4(14) = 10.5th term

Q3 = (10 + 11)th term / 2 = (9+9)/2 = 9

Q1 = 1/4(14) = 3.5th term

Q3 = (3 + 4)th term / 2 = (6+7)/2 = 6.5

IQR = Q3 - Q1 = 9 - 6.5 = 2.5

THE STANDARD DEVIATION :

Sqrt[Σ(X - m)²/n-1]

Using calculator :

Standard deviation = 2.04

After correcting the error, IQR remains unchanged while standard deviation reduced drastically from 26.3 to 2.04

Answer:

50 coffees

(and 40 empanadas)

Step-by-step explanation:

x= coffee y=empanadas

.5x+2y=105

x+y=90

Isolate a variable

x+y=90

x-90= -y

-x+90=y

Plug this in for y in the other equation

.5x+2(-x+90)=105

Solve for x

.5-2x+180=105

-1.5x= -75

x=50

we can stop here but that's lame so let's figure out how many empanadas she sold

we know that x=50 so we can just plug this into either beginning equation and solve for y

50+y=90

y=40

Answer:

0.84 = 84% probability that the calculator has a good case and good batteries.

Step-by-step explanation:

We have these following percentages:

8% of a certain batch of calculators have a defective case.

11 % have defective batteries.

3% have both a defective case and defective batteries.

Using Venn Diagrams:

Event A: Defective Case

Event B: Defecitve Battery

So the probabilities are: [tex]P(A) = 0.08, P(B) = 0.11, P(A \cap B) = 0.03[/tex]

Probability of at least one problem:

[tex]P(A \cup B) = P(A) + P(B) - P(A \cap B) = 0.08 + 0.11 - 0.03 = 0.16[/tex]

Find the probability that the calculator has a good case and good batteries.

No problems, so

[tex]p = 1 - P(A \cup B) = 1 - 0.16 = 0.84[/tex]

0.84 = 84% probability that the calculator has a good case and good batteries.

The probability that the calculator has a good case and good batteries is 0.84 or 84%

Since

8% of a certain batch of calculators have a defective case.

11 % have defective batteries.

3% have both a defective case and defective batteries.

So, the probability is

=  1- (0.08 + 0.11 - 0.03)

= 1 - 0.16

= 0.84

Therefore, The probability that the calculator has a good case and good batteries is 0.84 or 84%

learn more about probability here: https://brainly.com/question/16404410

Answer:

2.73

Step-by-step explanation:

Have a great day! I just put it down to cost per pound and and then multiplied by 3 1/2 and got the answer. :)

Answer:

$4.48

Step-by-step explanation:

6/4.68 = 1.28205128205 = 1.28

3 1/2 x 1.28 =

3.5 x 1.28 = 4.48 =

$4.48

Answer:

The value of x would be 23

Step-by-step explanation:

You must first find the angles of triangle CDE. So to find angle C you must know that a straight line is equal to 180 degrees, 180-117=63 So angle C would  be 63 degrees. Angle D is congruent to Angle B so Angle D would equal 24 Degrees. Then to find the angle of Angle E simply subtract 87 from 180 (You Get 87 From Adding 24 and 63), 180-87=93. Know that you know that Angle E is 93 Degrees set up the equation, 4x+1 = 93 SOLVE.

4x+1=93

4x = 92

x = 23.

Answer:

-3(43)= -129

−3(3) = −9

−3(2) = −6

−3(1) = −3

−3(0) = 0

−3(−1) = 3

−3(−2) = 6

 -3(-3)= 9

Step-by-step explanation:

As the factor decreases by 1, the product increases by 3. So −3(−1) = 3, −3(−2) = 6.

Multiplying −3 by a negative integer gives a positive number. 

The product of a positive number and a negative number is negative.

Answer:

142 is the correct answer (PEMDAS)

Answer:

[tex]k = 2.5[/tex]

Step-by-step explanation:

Given

[tex]A = (4,2)[/tex]

[tex]A' = (10,5)[/tex]

[tex]B = (10,6)[/tex]

[tex]B' = (25,15)[/tex]

Required

Determine the scale factor (k)

Scale factor is calculated using:

[tex]Old * k = New[/tex]

In this case, we have:

[tex]AB* k = A'B'[/tex]

Make k the subject

[tex]k = \frac{A'B'}{AB}[/tex]

Using point A and A'

[tex]k = \frac{A'}{A}[/tex]

[tex]k = \frac{(10,5)}{(4,2)}[/tex]

Factorize the numerator

[tex]k = \frac{2.5(4,2)}{(4,2)}[/tex]

[tex]k = 2.5*\frac{(4,2)}{(4,2)}[/tex]

[tex]k = 2.5*1[/tex]

[tex]k = 2.5[/tex]

Answer:

[tex]\frac{3}{2}[/tex] [tex]or[/tex] [tex]1\frac{1}{2}[/tex]

Step-by-step explanation:

We are given a graph and asked to find the slope.

So we can see two coordinate points, one on (0, 3) and (2, 0).

When trying to find slope, we use the method rise over run, which basically means y over x as a fraction, in which you then divide.

So count how many times it'll take for x to get to y, base it off the picture below

Since we see our numbers to be divided are 3 over 2, do the division and you get 1 1/2.

Would this be negative though? No, since the graph is in an increase, not a decrease.

Answer:

22.57

Step-by-step explanation:

17.50 + (17.50 x 0.2) + (17.50 x 0.09) = 22.575

Answer:

the left tree is taller

Step-by-step explanation:

shown in work above :)

The first tree is taller than the second tree by 25.3 ft.

We have to use the trigonometric ratios and angle of elevation to obtain the height of each tree as follows;

Let the height of the first tree be h1 and the height of the second tree be h2.

For the first tree;

tan 50° = h1/67

h1 = 67 tan 50° = 79.8 ft

For the second tree;

tan 36° = h2/75

h2 = 75tan 36°

h2 = 54.5 ft

The first tree is taller than the second tree by 25.3 ft.

Learn more about angle of elevation: https://brainly.com/question/12483071

Answer: 24

Step-by-step explanation:

Basically you just need to add the sides up to get your answer, its like breaking it up and adding simply.

Answer:

Step-by-step explanation:

Answer:

https://brainly.com/invite/7572c22d605dca5f994821814911b9d2?utm_source=invite&utm_medium=link&utm_campaign=bfp_parental_feed&utm_term=parent

Step-by-step explanation:

Answer:

50.

Step-by-step explanation:

50+30 =80%. 80% of 250 is 200. so he used 200 and now left with 50

Answer:

w = 2.7

Step-by-step explanation:

To solve for what number divided by 3 is equal to 0.9 you can do 0.9*3 and get the answer 2.7. w = 2.7.

Answer:about 2 1/4 weeks

Step-by-step explanation:

Answer:

2 with a remainder of 200

I just divided it.

Answer:

X = 5

Step-by-step explanation:

Answer:

6x + 7

Step-by-step explanation:

2x + 4x +7

(2 + 4)x  + 7

    6x    + 7

Answer:

combine like terms 6x+7

Answer:

27.50 divided by 2

Answer:

-[tex]\frac{12}{7}[/tex]

Step-by-step explanation:

y2-y1 ÷ x2-x1

-9-3 ÷ 7-0

-12 ÷ 7

(Can not be simplified any further)

Answer:

-12/7

Step-by-step explanation

[tex]\frac{Rise}{Run}[/tex]

Slope equals the change in y over the change in x.

Equation:

[tex]\frac{y_{2}-y_{1} }{x_{2} -x_{1} }[/tex]

Plug in values.

[tex]\frac{-9-3}{7-0}[/tex]

Answer is:

[tex]-\frac{12}{7}[/tex]

Answer:

The formula is

Step-by-step explanation:

a^2 + b^2 = c^2

hope this helps

Answer:

1/31 or [tex]\frac{1}{31}[/tex]

To find the answer, simplify the radical by breaking the radicand up into a product of known factors, assuming positive real numbers.

Answer:

9/10

Step-by-step explanation:

If you divide both the numerator and the denominator by 7 you get 9/10 and you cannot simplify this fraction any further. (Double check to make sure I'm correct)

Answer:

a.) only E occurs :

E((FUG)')

b.) both E and G but not F

EG(F')

C.) Atleast one of the events :

(E U G U F)

d.) Atleast two of the events

(EG U EF U GF)

E.) all three occurs

(EGF)

F.) none of the events occur :

(E U G U F)'

G.) At most one of the events occur

(EG U EF U GF)'

H.) at most two of them occur

(E' U G' U F')

I.) exactly two of them occur;

(EG U EF U GF) * (EGF)'

j. at most three of them occur.

EFG U (EFG)'

Step-by-step explanation:

Events = {E, F, G}

a.) only E occurs :

E((FUG)') ; E and not F or G

b.) both E and G but not F

EG(F') ; both E and G and not F

C.) Atleast one of the events :

(E U G U F) ; Either E or F or G

d.) Atleast two of the events

(EG U EF U GF) ; Either EG or EF or GF occurs

E.) all three occurs

(EGF) ; All three events, E, G and F occurs

F.) none of the events occur :

(E U G U F)' ; Neither E, G nor F occurs

G.) At most one of the events occur

(EG U EF U GF)' ; complement of atleast two) at most one

H.) at most two of them occur

(E' U G' U F') ; Either E , F or G does not occur

I.) exactly two of them occur;

(EG U EF U GF) * (EGF)' ; Exactly two events occurs and all three events Do not occur

j. at most three of them occur.

EFG U (EFG)' ; All three events occur union all three events do not occur

Answer:

5 to each group and she gave 6 stickers to he sister

Answer:

[tex]\frac{35}{105}[/tex]

Step-by-step explanation: