6. a. Name a pair of equations that have exactly one point of intersection. How do you know?
b. Name a pair of equations that have no points of intersection. How do you know?

c. Name a pair of equations that have infinite points of intersection. How do you know?
No links or I will report! Stop reporting this question please!

Answer:

A mixed number is a whole number plus a fractional part. An improper fraction is a fraction where the numerator (top number) is larger than the denominator (bottom number). You can convert between mixed numbers and improper fractions without changing the value of the figure.

Step-by-step explanation:

i did it before

Answer:

x = 43

Step-by-step explanation:

The two angles add to 93

x+ 50 = 93

Subtract 50 from each side

x+50-50 = 93-50

x = 43

Answer:

x = 43 °

Step-by-step explanation:

sum of two angles is equal to 93°,

50 ° + x = 93 °

Subtract 50° from each side

50° - 50° + x = 93° - 50°

x = 43°

Answer:

the answer is 1.7 litres

to compare we must have all quantities in the same unit

1.7 × 1000 = 1700 ml

hence, 1700 ml is the largest capacity from the given options

Answer:

3250

Step-by-step explanation:

Answer:

I believe the answer is 3,250

78,000 x 8 = 624,000

624,000 / 192 = 3,250

Answer:

Depends. See below.

Step-by-step explanation:

Let's take 1*-2 for example. If we multiplied 1 with -2, the resulting product will be negative since it's -2. Now if we did -1*-2, then the resulting product will be positive since it's 2.

Answer:

a)  0.2347, 0.0007

b) 1.30

c) 0.63

Step-by-step explanation:

Given –  

Mean = 73.4

Sigma = 4.7

Probability that the speed is greater than 70 is  

P (X>70) = P (z> (70-73.4)/4.7) = P (z>-0.72) = 0.7653

a) The probability that a car is not speeding = 1 - 0.7653 = 0.2347

The probability that all 5 cars are not speeding = (0.2347)5 = 0.0007

b) E (X) = 1/p = 1/0.7653 = 1.30  

c) Standard deviation = Sqrt (1-p/p) = (1-0.7653)/0.7653 = 0.63

Answer:

-9ab-a-4

Step-by-step explanation:

(-3ab-a-3) - (6ab+1)

Distribute the minus sign

(-3ab-a-3) - 6ab-1

Combine like terms

-9ab-a-4

Answer:

[tex]-9ab-a-4[/tex]

Step-by-step explanation:

Hi there!

[tex](-3ab-a-3)-(6ab+1)[/tex]

Open up the parentheses

[tex]-3ab-a-3-6ab-1[/tex]

Combine like terms

[tex]-3ab-6ab-a-3-1\\-9ab-a-3-1\\-9ab-a-4[/tex]

I hope this helps!

Answer:

It must be a rectangle with dimension of either 1 by 8  or 2 by 4

Step-by-step explanation:

V = l*w*h

32 = l*w*4

32/4 = l*w*4/4

8 = l*w

We could have 1*8

We could have 2*4

It must be a rectangle

It must be a rectangle with dimension of either 1 by 8  or 2 by 4

Answer:

5(x+2)

Step-by-step explanation:

5x + 10=

Factor out 5

5(x+2)

Answer:

[tex]5(x + 2)[/tex]

Step-by-step explanation:

Get 5 out

[tex]5x + 10 \\ 5(x + 2)[/tex]

Answer:2100g

Step-by-step explanation:

We can use ratios to solve this:

100 pie : 3000g

1 pie : 30g

70 pie : 2100g

Answer:

0.1733 = 17.33% probability the first stack was selected.

Step-by-step explanation:

To solve this question, it is needed to understand conditional probability, and the hypergeometric distribution.

Hypergeometric distribution:

The probability of x sucesses is given by the following formula:

[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]

In which:

x is the number of sucesses.

N is the size of the population.

n is the size of the sample.

k is the total number of desired outcomes.

Combinations formula:

[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]

Conditional probability:

We use the conditional probability formula to solve this question. It is

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which

P(B|A) is the probability of event B happening, given that A happened.

[tex]P(A \cap B)[/tex] is the probability of both A and B happening.

P(A) is the probability of A happening.

Probability of all red cards for the first stack:

For this, we use the hypergeometric distribution, as the cards all chosen without replacement.

7 + 4 = 11 cards, which means that [tex]N = 11[/tex].

7 red, which means that [tex]k = 7[/tex]

3 are chosen, which means that [tex]n = 3[/tex]

We want all red, so we find P(X = 3).

[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]

[tex]P(X = 3) = h(3,11,3,7) = \frac{C_{7,3}*C_{4,0}}{C_{11,3}} = 0.2121[/tex]

Conditional probability:

Event A: All red

Event B: From the first stack.

Probability of all red cards:

0.2121 of 50%(first stack)

1 of 50%(second stack). So

[tex]P(A) = 0.2121*0.5 + 1*0.5 = 0.60605[/tex]

Probability of all red cards and from the first stack:

0.21 of 0.5. So

[tex]P(A \cap B) = 0.21*0.5 = 0.105[/tex]

What is the probability the first stack was selected?

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.105}{0.60605} = 0.1733[/tex]

0.1733 = 17.33% probability the first stack was selected.

Answer:-2, 0, 2, 3, 4

Step-by-step explanation:

-2 is smaller than 0, 0 is smaller than 2, 2 is smaller than 3, and 3 is smaller than 4.

Answer:

4, 3, 2, 0, -2

Answer:

0.14 as a percentage is 14%

Answer:

Step-by-step explanation:

let  the missing side be x

a^2+b^2=c^2

6^2+12^2=x^2

36+144=x^2

180=x^2

[tex]\sqrt{180[/tex] =x

6[tex]\sqrt{5[/tex] =x

for angle C

take angle C as reference angle

using tan rule

tan C=opposite/adjacent

tan C=6/12

tan C=0.5

C=[tex]tan^{-1}[/tex]0.5

C=26.6 degree

Answer:

See explanation

Step-by-step explanation:

Given

The attached triangle

Required

Complete the ratios

(a) sin B

[tex]\sin(B)[/tex] is calculated as:

[tex]\sin(B) = \frac{Opposite}{Hypotenuse}[/tex]

[tex]\sin(B) = \frac{b}{c}[/tex]

(b) cos B

[tex]\cos(B)[/tex] is calculated as:

[tex]\cos(B) = \frac{Adjacent}{Hypotenuse}[/tex]

[tex]\cos(B) = \frac{a}{c}[/tex]

(c) tan B

[tex]\tan(B)[/tex] is calculated as:

[tex]\tan(B) = \frac{Opposite}{Adjacent}[/tex]

[tex]\tan(B) = \frac{b}{a}[/tex]

(d) tan A

[tex]\tan(A)[/tex] is calculated as:

[tex]\tan(A)= \frac{Opposite}{Adjacent}[/tex]

[tex]\tan(A) = \frac{a}{b}[/tex]

(e) cos A

[tex]\cos(A)[/tex] is calculated as:

[tex]\cos(A) = \frac{Adjacent}{Hypotenuse}[/tex]

[tex]\cos(A) = \frac{b}{c}[/tex]

(f) sin A

[tex]\ain(B)[/tex] is calculated as:

[tex]\sin(B) = \frac{Opposite}{Adjacent}[/tex]

[tex]\sin(B) = \frac{a}{c}[/tex]

Answer:

You did not finish the question. If you were to finish it, we might be able to help you.

Answer:

O the first number line

Step-by-step explanation:

|a| = 6

|?| = absolute value

to find absolute value of a number, it must be a opposite number from the origina number

|a| = 6

|-6| = 6

6 = 6  

Answer:

A)

Step-by-step explanation:

Answer:

You saved $30

Step-by-step explanation:

20% + 10% = 30%

30% = 0.30

$100 * 0.30 = $30

$100 - $30 = $70

Hope this is helpful

Answer:

The answer is C. Depression.

Step-by-step explanation:

Depression is defined as a severe and prolonged recession. Declining economic activity is characterized by falling output and employment levels. Generally, when an economy continues to suffer recession for two or more quarters, it is called depression.

The level of productivity in an economy falls significantly during a depression. Both the GDP (gross domestic product) and GNP (gross national product) show a negative growth along with greater business failures and unemployment. Depressions are relatively less frequent than milder recessions, and tend to be accompanied by high unemployment and low inflation.

Answer:

The perimeter is 35 units

Step-by-step explanation:

Given

The attached shape

Required

The perimeter of the shape

From the shape, we have:

[tex]AB = 11[/tex]

[tex]AD = 8[/tex]

[tex]BD = AD = 8[/tex] --- sides of an isosceles

Also:

[tex]BC = DC = BD = 8[/tex] --- sides of an equilateral

So, the perimeter (P) is:

[tex]P = AB + BC + DC + AD[/tex]

[tex]P = 11 + 8 + 8 + 8[/tex]

[tex]P = 35[/tex]

Properties of Isosceles triangles

2 sides are equal

2 angles are equal

Properties of equilateral triangles

All sides are equal

All angles are equal

Check the picture below.

9514 1404 393

Answer:

  38.63 m

Step-by-step explanation:

The definition of the perimeter tells you that you need to find the lengths of each of the edges of the figure.

The diagonal edge at left is the hypotenuse of a right triangle with legs 4 and 6. They Pythagorean theorem tells you that length is ...

  d = √(4² +6²) = √52 ≈ 7.21 . . . meters

The straight line across the top is marked 9 meters.

The semicircle length is half the circumference of a circle with diameter 6 m. That semicircle length is ...

  semicircle length = (1/2)πd = (1/2)(3.14)(6 m) = 9.42 m

The straight bottom edge of the figure is 4+9 = 13 m.

Then the sum of lengths around the figure is ...

  7.21 m + 9 m + 9.42 m + 13 m = 38.63 m

The perimeter of the figure rounded to 2 decimal places is 38.63 meters.

Answer:

4

Step-by-step explanation:

BCD is a right triangle. The Pythagorean Theorem applies; a^2 + b^2 = c^2, with c being the hypotenuse. a^2 + 9 = 25, so a^2 = 16, so a = 4

Answer:

a) 1/2

b) 9/40

Step-by-step explanation:

Given

Total number of families living in Willbrook Farms Development = 20

Number of families preparing their own federal income taxes for last year = 10

Number of families for which taxes were prepared by a local professional = 7

Number of families for which taxes were prepared by H&R Block = 3

a) Probability of selecting a family that prepared their own taxes = 10/20 = 1/2

b) The probability of selecting two families, both of which prepared their own taxes

10/20 * 9/20 = 9/40

Answer:

Incomplete question, but the binomial distribution with [tex]p = 0.9[/tex] and [tex]n = 4[/tex] is used to solve the questions.

Step-by-step explanation:

For each disk, there are only two possible outcomes. Either it passes the first test, or it does not. The probability of a disk passing the first test is independent of any other disk. This means that the binomial probability distribution is used 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.

Suppose that past data indicate that the probability that a compact-disk player passes the first test is 0.9.

This means that [tex]p = 0.9[/tex]

4 compact-disk players are randomly selected

This means that [tex]n = 4[/tex]

Answer:

Area=120 cm

Step-by-step explanation:

I think for each separate figure you find the area and then add them up to find the total area. The formula to find the area here is length times width or base times height.

First figure: 12 times 5= 60 cm

Second figure=8 times 5=40cm

Together we have 100cm as our area, that might be wrong, look in the comments, thanks for correcting me :)