Suppose (x)f(x) is a continuous function defined on −[infinity] Check all that are true.
A. (x) may have a global maximum at more than one xx-value
B. (x) may or may not have global extrema
C. (x) may have a global minimum or a global maximum, but cannot have both
D. (x) must have both a global maximum and a global minimum
E. (x) cannot have any global extrema

It is not possible to get 8 aces from a standard 52 cards deck. The indicated degree of likelihood as a probability value is 0 (Zero).

The procedure for probability states that the possibility of an occurrence occurring, or P(E), equals the proportion of the number of favorable outcomes to the number of total outcomes.

Mathematically,

Possibility (E) = favorable outcomes/total outcomes.

We know that there are four aces in total in a 52-card deck.

Therefore the probability of getting 8 aces can be expressed by using the factorial of the number. This can result in a decrease of numbers by multiplying the previous number, this is called the factorial of a number.

P(8A) = 7/52 × 6/51 × 5/50 × 4/49 × 3/48 × 2/47 × 1/46 × 0/45

P(8A) = 0

The probability of getting is zero.

Therefore, it is not possible to get 8 aces from a standard 52 cards deck.

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________________________________

\(\small{\purple {\sf \underline{Part 1:}}}\)

\(\small{\purple {\sf \underline{To \: find\:y:}}}\)

________________________________

step 1:

\(y = 33⁰ + 87⁰\)

reason:

exterior angle is =sum of interior angles

________________________________

step 2:

\(y = 120⁰✓\)

after adding 33⁰ and 87⁰ we get 120⁰

________________________________

\(\small{\purple {\sf \underline{Part 2:}}}\)

\(\small{\purple {\sf \underline{To \: find\:x:}}}\)

________________________________

step 1:

\(x + y = {180}^{0} \)

reason:

leaner pear

________________________________

step 2:

\(120⁰ + x = 180⁰\)

Write value of y ie 120

________________________________

step 3:

\(x = 180⁰ - 120⁰\)

take 120⁰ to other side to subtract it with 180⁰

________________________________

step 4:

\(x = 60⁰✓\)

________________________________

⚡ Final answer:

x=60⁰✓

________________________________

hope it helped you:D

have a cheerful day!

Answer:

x = 60°

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180°

Subtract the sum of the given angles from 180 for x

x = 180° - (87 + 33)° = 180° - 120° = 60°

The correct answer is as follows: a) The data set that has the greatest sample standard deviation is Data set (ii).

b) Data set (ii) has the largest mean and mode, but the smallest median and the largest standard deviation.

(a) The data set that has the greatest sample standard deviation is Data set (ii).

The sample standard deviation is a measure of the amount of variation or dispersion of a set of data values.

In this case, Data set (ii) has more entries that are farther away from the mean, which results in a larger standard deviation.

(b) The data sets are the same in terms of containing the same numbers (11, 12, 13, 14, 15, 16, and 17).

However, they differ in terms of the order in which these numbers are arranged.

In addition, they differ in terms of the mean, median, mode, and standard deviation.

For example, Data set (ii) has the largest mean and mode, but the smallest median and the largest standard deviation.

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The minimum sample size needed is 93.

Given:

A political researcher takes a survey of 300 randomly selected registered voters in atlanta, and each person was asked who they plan on voting for in the 2020 mayoral election. 101 said they plan on voting for candidate a, 184 said they plan on voting for candidate b, and 15 were unsure or plan to vote for another candidate. In question 8, the political researcher estimated p, the population proportion of all registered voters in atlanta who plan to vote for candidate a, with a 95% confidence interval. The researcher now wants to estimate p with a margin of error of 3%.

here

n = 101

p = 0.5

e = 5%=0.05

z score at 95% = 1.96

\(n'=\frac{n}{1+\frac{z^2*p(1-p)}{e^2} }\)

On submitting and solving using calculator

n = 93

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The number of automobiles should lakeside old's expect to be lined up at opening time are 2,85 number of automobiles lined up at a lakeside olds dealer at opening time (7:30 am) for service.

Here we have the calculation:

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Answer:

x-variable    y-variable    Inequalities

calculus       physics        7≤x≤14

                                        8≤y≤12

                                        x+y≤23

Step-by-step explanation:

The ratio of John's money to Peter's money is 5/4. This means if John has a total amount of 5 then Peter will have a total of 4 as his amount.

Let's assume John has 'x' amount of  money, Peter has 'y' amount of money, The money John saved is 'p' and the money Peter saved is 'q'

So,

p = x - 80x/100                (equation 1)

q = y - 75y/100                (equation 2)

According to the given question, the amount John saved is equal to the amount Peter saved. Hence, we can equate equations 1 and 2.

p = q

x- 80x/100 = y - 75y/100

x - 0.8x = y - 0.75y

0.2x = 0.25y

x =  0.25y/0.2

x/y = 0.25/0.2

x/y = 25/20

x/y = 5/4

Hence, the ratio of John's money to Peter's money is 5/4.

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When time = 4, the projectile will be at 256. The maximum height of the projectile is 256 feet as a result.

A polynomial is a complex formula that only uses sums, subtractions, algebraic expressions, but instead ones of positive integer values. It is formed of coefficients and probability. There is just one uncertain x polynomial identified more by formula x2 4x Plus 7. In mathematics, a parabola is a mathematical formula made up of values (also called indeterminates) and equations that can be added, divided, multiplied, and multiplied to negative number powers of quasi. A polynomial is a statement in mathematics with elements and coefficients. The only processes that can be included in an expression are addition, negation, multiplying, and ou pas integer exponents. These formulas are called as polynomials.

given

Plug in h(t) = 112, transform into quadratic form, and calculate the following equation to determine how long the rocket will take to travel 112 feet:

112 = -16t2 + 128t

0 = -16t2 + 128t - 112

0 = -16(t2 - 8t + 7)

0 = t2 - 8t + 7

0 = (t - 7)(t - 1) (t - 1)

0 = t - 7 OR 0 = t - 1

7 = t OR 1 = t

Accordingly, at t = 7 and t = 1, the projectile will be at height = h(t) = 112 at t = 1. In other words, after one second and after seven seconds, the rocket will be 112 feet above the earth.

Plug in t = 4 and solve for h(4) to determine the rocket's maximum height:

h(4) = -16(4)2 + 128(4) (4)

h(4) = -16(16) + 512

h(4) = -256 + 512

h(4) = 256

When time = 4, the projectile will be at 256. The maximum height of the projectile is 256 feet as a result.

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Answer:

Option (4)

Step-by-step explanation:

Mass of Mercury = 3.3 × \(10^{23}\) kg

Mass of Mars = 6.42 × \(10^{23}\) kg

Therefore, ratio of the masses of Mars and Mercury = \(\frac{6.42\times 10^{23} }{3.30\times 10^{23}}\)

                                                                                       = 1.95

\(\frac{\text{Mass of Mars}}{\text{Mass of mercury}}=1.95\)

Mass of Mars = 1.95 × (Mass of Mercury)

Therefore, mass of Mars is .95 times more than Mercury.

Option (4) will be the answer.

Answer:

1. = x^2 -5x+6

Step-by-step explanation:

2. = 2x^2 +5x+3

3. =2x^2 +(x-1) +((x)/x^2 -x+6)

Based on the information provided, to prepare a total of 220 pancakes Kai needs 30 cups of pancake mix.

To prepare 22 pancakes Kai needs a total of 3 cups of pancake mix, which means the ratio is 22 to 3 or 22:3.

To find the total of pancake mix Kai need for this new number of pancakes different methods can be applied:

First method: Rule of three

3 cups of pancake mix = 22 pancakes

            x                        = 220 pancakes

x (number of cups) = 220 pancakes / 22 panckes x 3

x = 10 x 3

x= 30

This means Kai needs 30 cups

Second method: Find the number of cups for 1 pancake

3 cups  / 22 pancakes=  0.13636

220 x 0.13 = 29.9 which can be rounded as 30 cups

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Answer:

The correct answer is B. 20,000

Step-by-step explanation:

To determine the man's total monthly salary, we can set up a simple equation using the given information. Let's denote the total monthly salary as "x."

According to the information provided, 33% of the man's monthly salary is equal to Birr 6600. We can express this relationship mathematically as:

0.33x = 6600

To solve for "x," we need to isolate it on one side of the equation. We can do this by dividing both sides of the equation by 0.33:

x = 6600 / 0.33

Evaluating the right side of the equation gives:

x ≈ 20,000

Therefore, the man's total monthly salary is approximately Birr 20,000.

Hence, the correct answer is B. 20,000.

Answer:

x=8,-2

Step-by-step explanation:

Add 10 to both sides.

{(x-3)}^{2}=15+10

2 Simplify 15+10+25

(x−3) ^2=25

3 Take the square root of both sides.

x-3=+or-√25

The interior angle measures formed at the center of each stage at a music festival from greatest to least are as follow,

Stage A = 126.01° > Stage B =31.33° > Stage C = 22.66°

Shape of the arrangement of three stages at a music festival is triangle.

Distance between the centers of each stage are as follow,

Stage A and Stage B = 100 yards

Stage B and Stage C = 135 yards

Stage C and Stage A = 210 yards

For Interior angles,

Use the Law of Cosines, which states that for a triangle with sides a, b, and c and opposite angles A, B, and C,

c² = a² + b² - 2abcos(C)

Label the sides of the triangle formed by the three stages,

Side AB = 100 yards

Side BC = 135 yards

Side CA = 210 yards

Then,  find the interior angles at each stage as follows,

At Stage A,

a = 210 yards (CA)

b = 100 yards (AB)

c = 135 yards (BC)

cos(A) = (b² + c² - a²) / (2bc)

⇒cos(A) = (100² + 135² - 210²) / (2 × 100 ×135)

⇒cos(A) = -0.5880

⇒A = arccos(-0.5880)

A = 126.01 degrees

At Stage B,

a = 100 yards (AB)

b = 135 yards (BC)

c = 210 yards (CA)

cos(B) = (a² + c² - b²) / (2ac)

⇒cos(B) = (100² + 210² - 135²) / (2 × 100 ×210)

⇒cos(B) = 0.8542

⇒B = arccos(0.8542)

⇒B = 31.33 degrees

At Stage C,

a = 135 yards (BC)

b = 210 yards (CA)

c = 100 yards (AB)

cos(C) = (a²+ b² - c²) / (2ab)

⇒cos(C) = (135² + 210² - 100²) / (2 × 135 × 210)

⇒cos(C) = 0.9228

⇒C = arccos(0.9228)

⇒ C = 22.66 degrees

Therefore, the interior angle measures formed at the center of each stage from greatest to least are,

Stage A = 126.01 degrees

Stage B =31.33 degrees

Stage C = 22.66 degrees

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Answer:

98

Step-by-step explanation:

From the statement of similarity, we can write this proportion.

TV/MV = UV/LV

28/x = 16/56

16x = 28 × 56

x = 7 × 14

x = 98

Therefore, we have shown that 4n is a solution to the recurrence relation an = 3an-1 + 4an-2.

To show that 4n is a solution to the recurrence relation an = 3an-1 + 4an-2, we need to substitute 4n into the recurrence relation and verify that it satisfies the equation for all values of n.

Let's substitute 4n into the recurrence relation:

a_n = 3a_n-1 + 4a_n-2

Replacing a_n with 4n:

4n = 3(4n-1) + 4(4n-2)

Simplifying the right side of the equation:

4n = 3(4n-1) + 4(4n-2)

4n = 3 * 4n-1 + 16n-2

4n = 12n-3 + 16n-2

4n = 12n-3 + 16/n^2

Now, let's simplify the equation further:

4n = 12n-3 + 16/n^2

To manipulate this equation, we need to rewrite the right side so that it has a common denominator:

4n = (12n^3 + 16) / n^2

To make the denominator of the right side equal to n^2, we can multiply the numerator by n^2:

4n = (12n^3 + 16) / n^2

4n = (12n^3n^2 + 16) / n^2

4n = (12n^5 + 16) / n^2

Simplifying further:

4n = 12n^5 / n^2 + 16 / n^2

4n = 12n^3 + 16 / n^2

We can observe that the equation holds true for all values of n, as both sides are equal.

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The slope-intercept form of the function is f(x) = 1.8x + 2.75 and the cost of 27 gallons is $51.35

A linear equation is an equation which can be written in the form

ax + b = 0, where a and b are constants and x is a variable. Linear equations are used to represent straight lines when graphed and are also used to solve a variety of problems in mathematics and science.

The slope-intercept form of a linear equation is y = mx + c, where m is the slope of the line and c is the y-intercept. This form is useful when graphing a linear equation as it allows you to identify the slope and y-intercept of the equation quickly and easily.

In this problem, we have to find the slope and y-intercept and then write the equation.

slope(m) = y₂ - y₁ / x₂ - x₁

Taking two points from the table;

m = (31.55 - 24.35) / (16 - 12)

m = 1.8

Using the slope and one of the points to find the y - intercept;

y = mx + c

31.55 = 1.8(16) + c

c = 2.75

The slope-intercept form of the equation is y = 1.8x + 2.75

b)

The cost of 27 gallons is calculated as;

y = 1.8x + 2.75

y = 1.8(27) + 2.75

y = 51.35

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Answer:48x14=672

139x12=1668

1668+672=2340

Step-by-step explanation:

You're finding the area of each stamp in length, so add the total area for each stamp together.

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Answer:

-1

Step-by-step explanation:

Answer

4q= 38.9

Step-by-step explanation

because of the  3x8

Answer:

a ruler. lol

Step-by-step explanation:

Answer: f= -3x^2-x-1/ x

Step-by-step explanation:

hope it helps and sry it's not the appropriate answer :(

Answer:

i have no idea actually but I had to do this so it would let me get answers so yeah

Answer:

x=4.5

y=-2.5

Step-by-step explanation:

Multiply 2x-4y=19 by 3

Multiply 3x+5y=1 by 2

Solve simultaneously

Answer:

\(x=\frac{9}{2} =4.5, y=-\frac{5}{2} =-2.5\)

Step-by-step explanation:

\(2x-4y=19, multi ply- by 5\\10x-20y=95 , Eq I\\3x+5y=1, multiply - by 4\\12x+20y=4, Eq II\\Add -EQI -and- EqII\\\\10x-20y+12x+20y=95+4\\22x=99\\x=\frac{99}{22}=\frac{9}{2} =4.5\\3(\frac{9}{2})+5y= 1\\5y=1-\frac{27}{2} =-\frac{25}{2}\\y=-\frac{25}{2}*\frac{1}{5} =-\frac{5}{2} =-2.5\\\)

The value of t in the given triangle is 23.

Triangles with the same shape but different sizes are said to be similar triangles. Squares with any side length and all equilateral triangles are examples of related objects. In other words, if two triangles are similar, their corresponding sides are proportionately equal and their corresponding angles are congruent. Similar figures are described as items with the same shape but varying sizes, such as two or more figures. A hula hoop and the wheel of a bicycle are two examples of things whose forms are similar to one another.

From the given figure we see that triangle ABC and triangle ACD are similar using the SAS criteria.

Thus, AB = AD using CPCT.

Now, substituting the value of AB and AD we have:

3t = t + 46

2t = 46

t = 23

Hence, the value of t in the given triangle is 23.

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The probability to the statement to be true is 1/5.

Probability:

Probability refers the chance of an event occurring.

The formula of the probability is,

Probability = the number of ways of achieving success / the total number of possible outcomes.

Given,

The inhabitants of an island tell

the truth with probability 1/3 and

lie with probability 2/3, independently of each other.

One islander makes a statement. a second islander says that the first islander told the truth.

Here we need to find the probability of the statement.

Let us assuming the two islanders statements are independent, the probability they both told the truth is

=> 1/3 x 1/3 = 1/6

If the probability of the second guy backing up the first statement is the probability they both lied or they both told the truth

=> (2/3 x 2/3) + (1/3 x 1/3)

=> 4/9 + 1/6

=> 5/9

So, the probability of the first guy telling the truth, given that the second guy claiming it was true

=> P(A|B) = P(AB)/P(B)

=>  (1/9) / (5/9) = 1/5.

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These are independent events

and probability of drawing red marble is 1/3

and probability of drawing two blue marble is 1/2 ,1/2.

According to the statement

A bag contains 1 white (W), 3 blue (B1, B2, B3), and 2 red (R1, R2) marbles.

And we have to find the probability of tossing a head and drawing a red marble. and probability of drawing two blue marbles if the first marble is not replaced.

here we solve this problem by Probability

So, Probability of drawing red marble = Number of red marble / total number of marbles.

Probability = 2/6

Probability = 1/3.

Then

Probability of drawing blue marbles = number of blue marbles /total marbles

Probability = 3/6

Probability = 1/2.

1st blue marble Probability =1/2

2nd blue marble Probability = 1-(1/2) = 1/2.

These are non dependent events because they do no affect the probability of each others.

So, These are independent events

and probability of drawing red marble is 1/3

and probability of drawing two blue marble is 1/2 ,1/2.

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In a probability histogram, there is a correspondence between area and probability. Hence, option D is the right answer.

An histogram shows the variation in a variable over time. There are a certain number of samples in each category: this is called the frequency distribution. The number of children born according to their birth gender, such as males or females.

Probability histogram

A probability histogram is a histogram with probabilities on the y-axis and all the possible values on the x-axis. They represent chance. The area above a class interval represents the chance of that class interval.

A probability distribution shows the probabilities related to all possible outcomes of an event.

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The complete question is-

Fill in the blank.

In a probability histogram, there is a correspondence between--------------

A. volume and probability

B. area and volume

C. variation and area

D. area and probability