On a map, 1 in represents 420 miles. How much does 3/4 in represent?

Answer:

f(1)=4

f(-3)=4

f(5)=-2

f(0)=2

f(-1)=0

f(3)=2

Step-by-step explanation:

Pose f(x) as your x value. Now apply to the graph

Given:

The probability of drawing a red candy at random from a bag of 25 candies is [tex]\dfrac{2}{5}[/tex].

To find:

The probability of randomly drawing a red candy from the bag after removing 5 candies from the bag.

Solution:

Let n be the number of red candies in the bag. Then, the probability of getting a red candy is:

[tex]P(Red)=\dfrac{\text{Number of red candies}}{\text{Total candies}}[/tex]

[tex]\dfrac{2}{5}=\dfrac{n}{25}[/tex]

[tex]\dfrac{2}{5}\times 25=n[/tex]

[tex]10=n[/tex]

After removing the 5 candies from the bag, the number of remaining candies is [tex]25-5=20[/tex] and the number of remaining red candies is [tex]10-5=5[/tex].

Now, the probability of randomly drawing a red candy from the bag is:

[tex]P(Red)=\dfrac{5}{20}[/tex]

[tex]P(Red)=\dfrac{1}{4}[/tex]

Therefore, the required probability is [tex]\dfrac{1}{4}[/tex].

Answer:

The average, mode, and median of the results are 5, meaning that half of the time the quarter will land on heads.

Step-by-step explanation:

The required dot plot shows the result of the experiment performed by flipping a quarter 21 times.

In an experiment, a student is to flip a quarter 10 times and record the number of times heads appears. A group of students performs the experiment 21 times, with these results. 6 4 5 6 5 6 4 6 2 4 3 4 5 7 5 8 7 5 3 5 5.

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication, and division,

Statistics is the study of mathematics that deals with relations between comprehensive data.

Here,
The dot plot has been made, for the number of outcomes and their frequencies. The dot plot gives the info about the mean mode and median.

Thus, the required a dot plot showing the result of the experiment performed by flipping a quarter 21 times.

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Answer: 100 tickets.

Step-by-step explanation:

Set up two equations: one representing total amount sold and another representing total dollars earned.

[tex]\left \{ {{x+y=215} \atop {8x+12y=2180}} \right.[/tex]

Rearrange x + y = 215 and find the value of x:

[tex]x+y=215\\x=215-y[/tex]

Substitute it into the other equation and solve for y:

[tex]8x+12y=2180\\8(215-y)+12y=2180\\1720-8y+12y=2180\\4y=2180-1720\\4y=460\\y=\frac{460}{4} =115[/tex]

Substitute in the y-value to the other expression to find x:

[tex]x+y=215\\x+115=215\\x=215-115=100[/tex]

Therefore, they sold 100 of the $8 tickets.

Answer:

-4= -2/u

or, -4u= -2

or, u= -2/-4

u=1/2

Answer:

The probability is 0.044

Step-by-step explanation:

Step-by-step explanation:

Let p be the probability that the new principal’s performance is approved.

This is obtainable from the survey and it is 8/10 = 0.8

Let q be the probability that the new principal’s performance is disproved.

That will be;

1 - q = 1- 0.8 = 0.2

To calculate the probability that 14 parents names are chosen at random and they all

approve of the principal’s performance, we use the Bernoulli approximation of the binomial theorem.

That will be;

14C14 * p^14 * q^0

= 1 * 0.8^14 * 0.2^0

= 0.043980465111 which is approximately 0.044

Answer:

x ≤ 6

Step-by-step explanation:

Given

- 12x ≥ - 72

Divide both sides by - 12, reversing the symbol as a result of dividing by a negative quantity.

x ≤ 6

Answer:

32 ounces

Step-by-step explanation:

Answer:

b because it is an expressio n

Step-by-step explanation:

Answer:

C. b2 – 4ac = 4

Step-by-step explanation:

Answer:

The graph is possible for  

Step-by-step explanation:

we know that

The discriminant of a quadratic equation of the form

is equal to

If D=0 the quadratic equation has only one real solution

If D>0 the quadratic equation has two real solutions

If D<0 the quadratic equation has no real solution (complex solutions)

In this problem , looking at the graph, the quadratic equation has two real solutions (the solutions are the x-intercepts)

so

therefore

The graph is possible for

...............................................................................................................................................

Answer:

b^2 – 4ac = 4

...............................................................................................................................................

Answer:

equation: x/8 = 11

solution: 88

Step-by-step explanation:

Let our unknown number be the variable, x. Since we're dividing x by 8, we can rewrite it into these expressions: x/8 or x ÷ 8. Because x divided by eight equals eleven, we can translate it into this equation: x/8 = 11, or x ÷ 8 = 11.

To solve for the equation x/8 = 11, let's multiply each side by 8 so we can isolate the variable, x.

x/8 ⋅ 8 = 11 ⋅ 8

x = 88

Now that we've completed multiplying each side by 8, you can see that x = 88, meaning that the unknown number is 88.

Answer:

88

Step-by-step explanation:

Equation: 88/8

Solution: 11

Answer:

56 degrees

Step-by-step explanation:

1. Notice how g is part of a right angle, which equals 90 degrees.

2. Notice how the 34 degree angle on the other side is also part of a 90 angle.

3. Notice how the 2 right angles are vertical to each other, meaning they are the same.

4. Subtract 34 from 90.

5. g=56 degrees

Hope this helps!

-Stella

I think it would be 90 degrees. The g marking looks like it's taking up 2 angles. One of the angles is 34 degrees, because it's opposite to the one marked. Together they look like they form a 90 degree angle.

*It's kind of of hard to see if g is referring to both angle degrees or not.

Answer:

Divide the tens column dividend by the divisor. Multiply the divisor by the quotient in the tens place column. Subtract the product from the divisor

Step-by-step explanation:

Answer:

Step-by-step explanation:

Look at the y-values as x-values are same for all tables.

We see that:

Answer:

Step-by-step explanation:

Given,

Vince used a cup of lemonade will be = 3/5

We know that,

Amount of lemonade used by Luva is 6 times of Vince

Therefore,

Lemonade used by Luca

[tex] = \frac{3}{5} \times 6[/tex]

[tex] = \frac{18}{5} [/tex]

[tex] = 3 \frac{3}{5} (ans)[/tex]

The order of Rotational symmetry is 2 (option B) for the given figure.

It is basically the number of times we obtain the initial(or same) figure in a single rotation of 360°.

The rotational symmetry of a shape demonstrates that when an object is rotated on its axis, the form of the object examines the same. Many geometrical shapes emerge to be symmetrical when they exist rotated 180 degrees or with some angles, clockwise or anticlockwise. Some of the examples exist as squares, circles, hexagons, etc.

If we rotate the picture by 90°or 270°, then it wont match the initial figure.

If we rotate the picture by 180° from initial, it will match the figure.

If we further rotate it by 180°( full 360° completed) , it will again match.

Hence, it matches 2 times in a single rotation.

Therefore it has rotational symmetry of order 2.

To solve more questions about rotational symmetry refer:

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Let the number be x

ATQ

[tex]\\ \sf\longmapsto 3x+2=18[/tex]

[tex]\\ \sf\longmapsto 3x=18-2[/tex]

[tex]\\ \sf\longmapsto 3x=16[/tex]

[tex]\\ \sf\longmapsto x=\dfrac{16}{3}[/tex]

[tex]\\ \sf\longmapsto x=5.3[/tex]

[tex]\\ \sf\longmapsto x\approx 5[/tex]

Answer:

185/198

Step-by-step explanation:

Since the are 12 Cd and we require them to be selected in 5 ways, the number of selections is ¹²C₅ = 12 × 11 × 10 × 9 × 8/5! = 95040/120 = 792 ways

Since we have Four are rap music, five are country music, and three are heavy metal music, the number of ways to select them in groups of five so as to have at least one of each CD from each category, we have

For the first selection 3 of one category, and 1 each of the other categories.

The second selection is 2 each of two categories and 1 of the last category.

So, doing this for each category, we have

⁴C₃ × ⁵C₁ × ³C₁ + ⁴C₂ × ⁵C₂ × ³C₁ + ³C₃ × ⁴C₁ × ⁵C₁ + ³C₂ × ⁴C₂ × ⁵C₁ + ⁵C₃ × ⁴C₁ × ³C₁ + ⁵C₂ × ³C₂ × ⁴C₁

= (4 × 3 × 2/3! × 5 × 3) + (4 × 3/2! × 5 × 4/2! × 3) + (1 × 4 × 5) + (3 × 2/2! × 4 × 3/2! × 5) + (5 × 4 × 3/2! × 4 × 3) + (5 × 4/2! × 3 × 2/2! × 4)

= 360/6 + 720/4 + 20 + 360/4 + 720/2 + 120/4

= 60 + 180 + 20 + 90 + 360 + 30

= 740 ways

So, the required probability is P = number of ways of selecting at least one CD/ total number of ways = 740/792 = 185/198

Answer:

No, it doesn't indicate that the insurance claims of single people under the age of 25 is higher than the national percent reported by the large insurance company

Step-by-step explanation:

Let's first state the hypotheses.

Null hypothesis; H0: p = 0.68

Alternative hypothesis; Ha: p > 0.68

A random sample of 53 claims showed that 41 were made by single people under the age of 25.

Thus; p^ = 41/53 = 0.7736

Let's find the test statistic from the formula;

z = (p^ - p_o)/√(p_o(1 - p_o)/n)

z = (0.7736 - 0.68)/√(0.68(1 - 0.68)/41)

z = 0.0936/0.07285

z = 1.28

From online p-value from z-score calculator, using z = 1.28, one tail hypothesis and significance level of 0.05,we have;

P(z > 1.28) = 0.100273

The p-value gotten is greater than the significance value and so we fail to reject the null hypothesis and conclude that there is insufficient evidence to support the claim.

Answer:

55/100 * x = 495

Step-by-step explanation:

The unknown number is x.

55% of x = 495

55/100 * x = 495

Answer: 55, 62, 69, 76

Step-by-step explanation:

(to complete the table, plug d values into the equation to find p values)

p = 7d + 6, d = 7

p = 7(7) + 6 = 49 + 6 = 55

p = 7d + 6, d = 8

p = 7(8) + 6 = 56 + 6 =62

p = 7d + 6, d = 9

p = 7(9) + 6 = 63 + 6 =69

p = 7d + 6, d = 10

p = 7(10) + 6 = 70 + 6 =76

The ratio x : x : x√2 has two parts identical to each other ( x : x) this means two of the angles also need to be identical.

Answer: 45 -45 -90

Answer: 48 dimes, 15 quarter

Step-by-step explanation:

Given

The money is of the net worth of [tex]\$8.55[/tex]

If there is total of 63 coins

Suppose there are [tex]x[/tex] dimes and [tex]y[/tex] quarter

[tex]\therefore x+y=63\quad \ldots(i)\\\Rightarrow 0.1x+0.25y=8.55\quad \ldots(ii)[/tex]

Solve (i) and (ii)

[tex]x=48,y=15[/tex]

Thus, there are 48 dimes and 15 quarters

Answer:

[tex] \frac{9}{2} [/tex]

Step-by-step explanation:

[tex] \frac{15}{2} \div \frac{5}{3} = \frac{15}{2} \times \frac{3}{5} = \frac{3}{2} \times \frac{3}{1} = \frac{9}{2} [/tex]

Answer:

see explanation

Step-by-step explanation:

Given

AB + BC = 31

AB - BC = 17

Add the 2 equations

2AB = 48 ( divide both sides by 2 )

AB = 24

Substitute AB = 24 into the first equation

24 + BC = 31 ( subtract 24 from both sides )

BC = 7

Using Pythagoras' identity to find the hypotenuse AC

AC² = AB² + BC² = 24² + 7² = 576 + 49 = 625 ( take square root of both sides )

AC = [tex]\sqrt{625}[/tex] = 25

Then

sinA = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{BC}{AC}[/tex] = [tex]\frac{7}{25}[/tex]

cosA = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{AB}{AC}[/tex] = [tex]\frac{24}{25}[/tex]

sinC = [tex]\frac{AB}{AC}[/tex] = [tex]\frac{24}{25}[/tex]

cosC = [tex]\frac{BC}{AC}[/tex] = [tex]\frac{7}{25}[/tex]