Any percentile point for a distribution of scores must have a value equal to one of the scores.
A. True
B. False

Answer:

C.) 60°

Step-by-step explanation:

The triangle is an equilateral triangle. So that means that all the angles measure the same. And we have to remember that a triangle always equals 180°

So, to find out the measure of an angle. We must divide 180 by 3. Which is 60

=60°

Hope this helps you out! : )

Step-by-step explanation:

The given sequences are;

2,7,12,17......

difference =5

by using formula,

we get,

tn=a+(n-1)d

tn= 2+(n-1)5

Therefore, tn is 5n-3 is required formula for this arithmetic sequences.

Hope it helps....

Answer:

$1,600

Step-by-step explanation:

Inverse relation:

v = k/a

where v = value of car, and a = age in years.

To find k, we use a known value

2400 = k/10

k = 24000

The inverse relation is

v = 24,000/a

At 15 years, a = 15.

v = 24,000/15 = 1,600

The value of Jackie’s car when it is 15 years old will be $1,600.

A mathematical statement consisting of an equal symbol between two algebraic expressions with the same value is known as an equation.

Given data;

Let y be the car’s value and x is the age then, if there is an inverse relation between them;

y = k/x

Substitute the given values;

k=xy

k=2400 × 10

k = 24000

Substitute the value of k;

y = 24000/x

Condition 2;

at x = 15 and y = ?

y = 24,000/15

y= 1,600

Hence, the value of Jackie’s car when it is 15 years old will be 1600.

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Answer:

[tex]\boxed{Option \ D}[/tex]

Step-by-step explanation:

The combination of a rational number (3) and an irrational no. ([tex]4i[/tex]) is called a complex number.

So,

[tex]3+4i[/tex] is a complex no.

Answer:

D. Complex number.

Step-by-step explanation:

This number is not irrational, since 3 is rational.

The number is not entirely rational, since 4i is irrational.

The number is not real because i is not real.

So, the number is a Complex number, since it includes both real and nonreal numbers.

Hope this helps!

Answer:

show a picture

Step-by-step explanation:

Answer:

Argument is valid.

Step-by-step explanation:

Let M, C and S represent the premises. The the statements can be represented using these letters as:

M: Microchips are made from diamond wafers.

C: Computers will generate less heat.

S: Synthetic diamonds will be used for jewelry.

1st premises:

If microchips are made from diamond wafers, then computers will generate less heat.

Notice that the above statement is a conditional statement. So to represent such relationship, the material implication is used which has ⊃ symbol.

This can be translated into symbolic form using the horseshoe operator ⊃ as:

M ⊃ C

2nd premises:

Computers will not generate less heat and microchips will be made from diamond wafers.

Notice that the above statement is a compound statement. It has two part joined together with "and" i.e.  Computers will not generate less heat "and" microchips will be made from diamond wafers. These are two conjuncts and   both should be true for the premises/compound statement to be true. So to represent such relationship, the Conjunction is used which has • symbol.

This can be translated into symbolic form using the dot • symbol as:

Computer will not generate less heat is represented as ~C because C states that Computer will generate less heat and ~C states that Computer will not generate less heat. So ~C is the negation of C. Now the complete symbolic form is:

~C • M

third premises:

Therefore, synthetic diamonds will be used for jewelry is represented as:

S

This is basically the conclusion statement.

Truth Tables:

For M:

M

T

T

T

T

F

F

F

F

For C:

C

T

T

F

F

T

T

F

F

For ~C:

It reverses the truth values of C

~C

F

F

T

T

F

F

T

T

For S:

S

T

F

T

F

T

F

T

F

For M ⊃ C:

The above mentioned premise formed with this connective is true unless the left the antecedent is true and right the consequent is false.

M       C        M ⊃ C

T         T             T

T         T             T

T         F             F

T         F             F

F         T             T

F         T             T

F         F             T

F         F             T

For ~C • M

The truth table of conjunction of ~C and M is formed using truth table of reverse of C i.e.  ~C and that of M. The conjunction is true when both conjuncts are true and if either of the two conjuncts is false then whole conjunction is false.

M       ~C        ~C • M

T         F             F

T         F             F

T         T             T

T         T             T

F         F             F

F         F             F

F         T             F

F         T             F

Now combining all to check the validity:

M       C       S        M ⊃ C     ~C • M             S

T         T        T             T               F                T

T         T         F            T               F                F

T         F         T            F               T                T

T         F         F            F               T                F

F         T         T            T               F                T

F         T         F            T               F                F

F         F         T            T               F                T

F         F          F           T               F                 F

The given argument is valid. The is because it is impossible for the above premises to be true and the conclusion to be false. You can see that when the premises M ⊃ C  and ~C • M are true the conclusion S is also true.

We check validity by checking in the truth table if there is a row that has all true premises and a false conclusion. If there is then argument is invalid. Here in the truth table you can see that no row has all the premises true and a false conclusion. So the argument is valid.

Answer:

7.5

Step-by-step explanation:

If we look at the 4 by 4 square around the triangle we can just do the area of the square minus the area of the 3 little triangles which is:

4 * 4 - 4 * 1 / 2 - 3 * 3 / 2 - 4 * 1 / 2

= 16 - 2 - 4.5 - 2

= 16 - 8.5

= 7.5

Answer:

d = [tex]\frac{1}{2}[/tex]

Step-by-step explanation:

The n th term of an arithmetic sequence is

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference , thus

a₇ = a₁ + 6d

a₄ = a₁ + 3d

Given a₇ - 2a₄ = 1 , then

a₁ + 6d - 2(a₁ + 3d) = 1, that is

a₁ + 6d - 2a₁ - 6d = 1

- a₁ = 1 ( multiply both sides by - 1 )

a₁ = - 1

Given a₃ = 0 , then

a₁ + 2d = 0 , thus

- 1 + 2d = 0 ( add 1 to both sides )

2d = 1 ( divide both sides by 2 )

d = [tex]\frac{1}{2}[/tex]

Answer:

The solution to this expression is 61,224.74

Step-by-step explanation:

To solve we initially have to convert the percentage to a decimal:

[tex]1.8\% = \frac{1.8}{100} = 0.018[/tex]

So

56000*(1+1.8%)^5 = 56000(1+0.018)^5 = 56000(1.018)^5 = 61,224.74

The solution to this expression is 61,224.74

Answer:

Hey there!

Elif can only arrange the chairs like: 4 by 7, and 7 by 4.

Hope this helps :)

Answer: B) 3:7

Step-by-step explanation:

104/78 = .75

so for everyone 3 males there are 4 females,

then for every 7 people there are 3 males so the answer is B

<!> Brainliest is appreciated! <!>

The ratio between the males and the total number of persons will be 03:7

It is a kind of relationship between two variables. It represents the weightage of one variable in comparison to other.

Number of males present=78

Number of females present=104

Total number of people present=182

Ratio=number of males: number of people

=78:182=39:91=3:7

Hence the ratio of males to total people is 3:7

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Answer:

50 miles

Step-by-step explanation:

let he hiked a,b,c and d miles on each of the four days respectively.

then, according to the question.

a+b=26...i

b+c= 24...ii

c+d=28...iii

a+c=22...iv

now, adding i,ii,iii,iv we get

2(a+b+c+d) = 100

a+b+c+d= 50 miles.

Hence, he traveled in all 50 miles.

Answer:

solution,

Volume of cylinder=304 cm^3

height=10 cm

Radius=?

Now,

[tex]volume = \pi {r}^{2} h \\ or \: 304 = 3.14 \times {r}^{2} \times 10 \\ or \: 304 = 31.4 \times {r}^{2} \\ or \: {r}^{2} = \frac{304}{31.4} \\ or \: {r}^{2} = 9.68 \\ or \: r = \sqrt{9.68} \\ or \: r = \sqrt{ {(3.11)}^{2} } \\ r = 3.11 \: cm[/tex]

Hope this helps..

Good luck on your assignment..

Answer:

  g(-6) = 8; g(0) = 5; g(6) = 0; g(12) = 6

Step-by-step explanation:

We assume your function definition is ...

  [tex]g(x)=\left\{\begin{array}{ccc}-\dfrac{1}{2}x+5&\text{for}&x<6\\x-6&\text{for}&x\ge 6\end{array}\right.[/tex]

For each given value of x, determine which segment applies, then evaluate.

For x = -6 and for x = 0, the first segment applies:

  g(-6) = (-1/2)(-6) +5 = 3 +5 = 8

  g(0) = (-1/2)(0) +5 = 5

For x = 6 and x = 12, the second segment applies:

  g(6) = (6) -6 = 0

  g(12) = (12) -6 = 6

In summary, ...

  g(-6) = 8; g(0) = 5; g(6) = 0; g(12) = 6

Answer:

No solution

Step-by-step explanation:

Step 1: Write out equations

y = -1/4x + 2

3y = -3/4x - 6

Step 2: Substitution

3(-1/4x + 2) = -3/4x - 6

Step 3: Distribute

-3/4x + 6 = -3/4x - 6

From here, we can see that we have the same slope but different y-intercept. This means that the 2 lines are parallel and therefore never intersect.

Alternatively, you could graph the equations and see that the 2 lines are parallel and never intersect.

Answer:

No solution

Step-by-step explanation:

y = -1/4x + 2

3y = -3/4x - 6

Plug y as -1/4x + 2 in the second equation.

3(-1/4x + 2) = -3/4x - 6

-3/4x + 6 = -3/4x - 6

-3/4x + 3/4x = -6 -6

0 = -12

No solution.

Answer:

Option (1)

Step-by-step explanation:

Since the length of arc YZ = 12 units

m∠YXZ = one third of the full circle = [tex]\frac{360}{3}[/tex] = 120°

From the formula of arc length,

Length of arc = [tex]\frac{\theta}{360}(2\pi r)[/tex]

Where θ = Central angle subtended by the arc

r = radius of the circle

By substituting these values in the formula,

12 = [tex]\frac{120}{360}(2\pi r)[/tex]

12 = [tex]\frac{2}{3}\pi r[/tex]

[tex]18=\pi r[/tex]

r = [tex]\frac{18}{\pi }[/tex]

r = 5.73

r ≈ 6 units

Therefore, Option (1) will be the answer.

Answer:

Step-by-step explanation:

First you need to find the slope of the line that contains those 2 points.

[tex]m=\frac{0-8}{0-(-4)}=\frac{-8}{4}=-2[/tex]

So the slope is -2. Now we can pick one of those points and sub it into the point-slope formula to find the equation:

y - 0 = -2(x - 0) gives us an equation of

y = -2x

Answer:

The time spent studying is the response variable.

Step-by-step explanation:

The response variable, also known as the dependent variable is the main question which the experiment wants to provide an answer for. Usually, the predictors determine or affect the response variable.  In the study where Teresa investigates the effect of grade level on time spent studying, the response variable is the time spent studying, while the predictor which is the grade level provides an explanation as to the time spent studying.

The changes or variations on time spent studying depends on the grade level. This means that the grade level provides an explanation of the length of time dedicated to studying.

Answer:

a) 2.3

b) 1.4

c) 1.2

d) On average, 2.3 out of 6 women would consider themselves baseball fans.  The standard deviation is 1.2 women, so in most samples of 6 women, the number of women who consider themselves baseball fans would differ from the mean by no more than 1.2.

Step-by-step explanation:

For each woman, there are only two possible outcoes. Either they are a fan of professional baseball, or they are not. The prbability of a woman being a fan of professional baseball is independent of other woman. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

Can be approximated to a normal distribution, using the expected value and the standard deviation.

The expected value of the binomial distribution is:

[tex]E(X) = np[/tex]

The variance of the binomial distribution is:

[tex]V(X) = np(1-p)[/tex]

The standard deviation of the binomial distribution is:

[tex]\sqrt{V(X)} = \sqrt{np(1-p)}[/tex]

38% of women consider themselves fans of professional baseball.

This means that [tex]p = 0.38[/tex]

Six women are sampled:

This means that [tex]n = 6[/tex]

(a) Find the mean of the binomial distribution.

[tex]E(X) = np = 6*0.38 = 2.3[/tex]

(b) Find the variance of the binomial distribution

[tex]V(X) = np(1-p) = 6*0.38*0.62 = 1.4[/tex]

(c) Find the standard deviation of the binomial distribution.

[tex]\sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{6*0.38*0.62} = 1.2[/tex]

(d) Interpret the results in the context of theâ real-life situation.

On average, 2.3 out of 6 women would consider themselves baseball fans.  The standard deviation is 1.2 women, so in most samples of 6 women, the number of women who consider themselves baseball fans would differ from the mean by no more than 1.2.

-2

0

2

Answered on edge

Answer:

-2, 0, 2

Step-by-step explanation:

edge 2020

Answer:

12

Step-by-step explanation:

( J , Q, K 4 each)

so prob that for 2 cards, both cards are face

= C(12,2)/C(52,2) = 66/1326 = 11/221

Answer:

$15

Step-by-step explanation:

Each cup is 50 cents which is basically $0.50

Multiply $0.50 by 120= $60

Because you and your three friends equal 4 total people,

divide 60 by 4 to get your own profit:

60/4=15

Answer:

E. P(W | H)

Step-by-step explanation:

What each of these probabilities mean:

P(H): Probability of the game being at home

P(W): Probability of the game being a win.

P(H and W): Probability of the game being at home and being a win.

P(H|W): Probability of a win being at home.

P(W|H): Probability of winning a home game.

Which of the following probabilities do you need to find in order to determine the proportion of at-home games that were wins?

This is the probability of winning a home game. So the answer is:

E. P(W | H)

Answer:

x=½

y=5

Step-by-step explanation:

(8x+7y=39)2

16x+14y=78

4x-14y=-68 add the two equations

20x=10.

divide both sides by 20

x=½

8x+7y=39

4+7y=39

7y=39-4

7y=35

y=5

The value of x and y in the system of equation using elimination method is 1 / 2and 5 respectively.

8x + 7y = 39

4x – 14y = –68

Multiply by 2

16x + 14y = 78

-14y + 14y = 0

4x + 16x = 20x

-68 + 78 = 10

20x = 10

x = 1 / 2

8(1 / 2) + 7y = 39

4 + 7y = 39

7y  = 35

y = 35 / 7

y = 5

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Answer:

  305 calories, 120 from fat

Step-by-step explanation:

The ratio of the area of the larger pizza to that of the smaller pizza is the square of the ratio of the diameters. So, the larger pizza has an area that is ...

  (12/6)² = 4

times that of the smaller pizza. When that area is divided into 8 parts, each part has an area that is 4/8 = 1/2 the area of the smaller pizza.

We expect a slice of the larger pizza to have 1/2 the calories of a smaller pizza, so 305 calories, 120 from fat.

__

610/2 = 305; 240/2 = 120.

Answer:

1.79% probability that the number of times that the coin lands tails will be less than 40

Step-by-step explanation:

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

Can be approximated to a normal distribution, using the expected value and the standard deviation.

The expected value of the binomial distribution is:

[tex]E(X) = np[/tex]

The standard deviation of the binomial distribution is:

[tex]\sqrt{V(X)} = \sqrt{np(1-p)}[/tex]

Normal probability distribution

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

When we are approximating a binomial distribution to a normal one, we have that [tex]\mu = E(X)[/tex], [tex]\sigma = \sqrt{V(X)}[/tex].

Fair coin:

Equally as likely to be heads or tails, so [tex]p = 0.5[/tex]

100 times

[tex]n = 100[/tex]

Then

[tex]\mu = E(X) = np = 100*0.5 = 50[/tex]

[tex]\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{100*0.5*0.5} = 5[/tex]

What is the probability that the number of times that the coin lands tails will be less than 40

Using continuity correction, this is [tex]P(X < 40 - 0.5) = P(X < 39.5)[/tex], which is the pvalue of Z when X = 39.5.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{39.5 - 50}{5}[/tex]

[tex]Z = -2.1[/tex]

[tex]Z = -2.1[/tex] has a pvalue of 0.0179

1.79% probability that the number of times that the coin lands tails will be less than 40

Answer:

The box weighs 220 grams.

Step-by-step explanation:

Since the box full of chocolates weighs 480 grams, and the same box full of mints weighs 350, the weight difference between them is 130 grams. According to the statement, the quantity of chocolate weighs twice that of mint, while the weight of the box does not vary.

Therefore, since chocolate weighs twice as much as mints, and the weight is reduced by 130 grams, that is the difference in weight between the two, with which chocolate weighs 260 grams and mints 130 grams.

Therefore, the box weighs 220 grams: 220 + 130 = 350, and 220 + 260 = 480.

Answer: 1,080 in. cubed

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

Answer:

Use a graphing calc or desmos

Step-by-step explanation:

Answer:

a = 5

b = 12

c = 13

Step-by-step explanation:

a^2+b^2=c^2

b-a=7(b=a+7)

c=a+8

Then, substitute

a^2+((a+7)*(a+7))=c^2

a^2+a^2+7a+7a+49=c^2

2a^2+14a+49=c^2

Because c = a+8

2a^2+14a+49=(a+8)(a+8)

2a^2+14a+49=a^2+16a+64

a^2-2a=15

a^2-2a-15=0

(a-5)(a+3)=0

a = 5,-3

a = 5(a side cannot be negative)

Plug in a=5 to the other equations to get

a = 5, b = 12, c = 13

Hope it helps <3

Answer:

The lengths of the sides are 5, 12, 13.

Step-by-step explanation:

In a right triangle, the two shorter sides are the legs. The longest side is the hypotenuse.

Let the shorter leg = x.

The longer leg is 7 cm longer, so its length is x + 7.

The length of the hypotenuse is 8 cm longer than the shorter leg, so its length is x + 8.

The lengths are:

x, x + 7, x + 8

Since the triangle is a right triangle, we can use the Pythagorean theorem.

a^2 + b^2 = c^2

x^2 + (x + 7)^2 = (x + 8)^2

Square the trinomials.

x^2 + x^2 + 14x + 49 = x^2 + 16x + 64

Combine like terms and place them all on the left side equaling zero.

x^2 - 2x - 15 = 0

Factor the left side.

(x - 5)(x + 3) = 0

x - 5 = 0   or   x + 3 = 0

x = 5 or x = -3

Since the length of a side of a triangle cannot be negative, we discard the solution x = -3.

x = 5

x + 7 = 5 + 7 = 12

x + 8 = 5 + 8 = 13

Answer: The lengths of the sides are 5, 12, 13.