This table shows how many sophomores and juniors attended two school
events.
Sophomore
Junior
Total
Jazz band
concert
35
36
71
Volleyball game
42
24
66
Total
77
60
137
What is the probability that a randomly chosen person from this group is a
sophomore and attended the volleyball game?
Round your answer to two decimal places.

Answer: neither

Step-by-step explanation:

y=mx+b

y=2x+3

m= 2/1

y-1=1/2(x+2)

y-1=1/2x +1

+1          +1

y=1/2x + 2

m=1/2

Answer:

A lab needs to make 500 gallons of a 34% acid solution. The only solutions available are a 25% acid solution and a 50% acid solution. How many gallons of each solution should be mixed to make the 34% solution?

***

let x=amount of 25% solution to mix

500-x=amount of 50% solution to mix

.25x+50%(500-x)=34%*500

.25x+250-.50x=170

.25x=80

x=320

500-x=180

amount of 25% solution to mix=320 gal.

amount of 50% solution to mix=180 gal

Step-by-step explanation:

house flipping is the buying of a house for a low price with the intention of reselling it for a profit after a short period of time.

Buyers that acquire distressed houses, patch them up, and then resell them for a profit are included. These properties are often found through foreclosures, bank short sales, or property auctions.

To be successful at real estate flipping, you must be able to manage your money properly and invest in inexpensive homes. These are generally properties that need a lot of attention.

Following that, you'll need to spend on modifications that will boost the resale value of the house and draw the attention of a possible buyer. When the improvements are finished, you must list and advertise the home.

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The range is roughly four times the standard deviation, according to the range rule of thumb.

We have to explain, the rule for range.

As we know that;

The group of all possible dependent values that a function or relation can produce from its domain values is known as its range. It consists of every potential output.

There have range rule of thumb;

The range is roughly four times the standard deviation, according to the range rule of thumb. Another statistician's measure of spread is the standard deviation. It describes the way that your data is grouped around the mean.

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The sampling method that is the most appropriate in studying the opinions of stay-at-home mothers in all towns across the country is A. Simple random sampling, because the people in the sample are accessible and available

Sampling is the process of selecting the group from which you will collect data for your research. For example, if you want to know what students think at your university, you could survey 100 of them. In statistics, sampling allows you to test a hypothesis about a population's characteristics.

Simple random sampling is a type of probability sampling in which a subset of participants is chosen at random from a population. Each person in the population has an equal chance of being chosen. The data is then collected from as large a percentage of this random subset as possible.

Based on the information illustrated, the correct option is A.

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Answer: D) Cluster sampling, because the studied population is spread across a wide area such that simple random sampling would be difficult to implement

Step-by-step explanation: Just took the test and got this right, also simple random sampling one small town wouldn't be an accurate sample for the entire country, and cluster sampling is better since the question inquired about the entire country... If that makes any sense lol.

It will take 2 years for the value of the car to be 5300 dollars based on the car depreciation rate.

A = [tex] {P (1-r)}^{nt} [/tex], where A is amount, P is principal, r is rate, t is time period and n is number of iterations in a year.

Keep the values in formula -

5300 = 21900 (1 - 12.25)t

Performing division on Left Hand Side of the equation

5300/21900 = (0.1225)t

Performing division on Left Hand Side of the equation and subtraction on Right Hand Side of the equation

0.24 = 0.1225t

Performing division

t = 0.24/0.1225

t = 1.96 or 2

Hence, it will take 2 years.

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Answer:

5

Step-by-step explanation:

Based on the given conditions, formulate: 15 × ( 1 - 2/3)

Apply Multiplicative Distribution Law: 15 - 10

Calculate the sum or difference: 5

Answer:

       [tex]\frac{2}{7}[/tex]

Step-by-step explanation:

3.5 = [tex]\frac{7}{2}[/tex]

swap the numerator and denominator (flip the fraction):

reciprocal of [tex]\frac{7}{2}[/tex] is [tex]\frac{2}{7}[/tex]

To draw the area of a square, begin by drawing a square with four equal sides. Label the length of each side. Then, draw a triangle inside the square, connecting each corner. Label the length of each side.

Finally, calculate the area of the square by multiplying the length of the square by the length of the triangle.To find the area of any square, use the formula A= s2, where s is one of the sides' lengths.For example, if the length of each side of the square is 4, the area of the square would be 16 (4 x 4 = 16). To draw the area of the square, draw a 4x4 square and then draw a triangle inside it, connecting each corner. Label the length of each side of the triangle and the square. Then use the area formula to calculate the area of the square (A = s^2).

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The value of the entry will not match will be;

⇒ 10⁻⁶

⇒ [tex]\frac{1}{10^5^/^3}[/tex]

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The number is,

⇒ [tex]10^{\frac{-3}{5} }[/tex]

Now,

Since, The number is,

⇒ [tex]10^{\frac{-3}{5} }[/tex]

Hence, It can be written as;

⇒ [tex]10^{\frac{-3}{5} }[/tex] = [tex]10^({\frac{-3}{5} })[/tex]

           = [tex]\sqrt[5]{10^-^3}[/tex]

           = [tex](\frac{1}{10^{\frac{1}{5} }} )^3[/tex]

Thus, The value of the entry will not match are given as,

⇒ 10⁻⁶

⇒ [tex]\frac{1}{10^5^/^3}[/tex]

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Answer:

c = 40

Step-by-step explanation:

Answer: something

Step-by-step explanation: you are welcome

Answer:

There are two elements arranged in a single row and two columns in the matrix, hence it is an example of a row matrix. Example 3: A Row matrix of the order 1 x 3, is: A = [ 1 3 8 ] 1 × 3. In the above example, there are three elements in the matrix arranged in a single row and three columns.

Step-by-step explanation:

HOPE IT HELPS U BTW HAVE A GOOD DAY :D

Using the concept of asymptote of the function it can be concluded that the number of boxes of cereals sold is 0 after 0 weeks, it will keep falling after reaching the maximum sales and cereals sold is always positive as the cereals introduced so the correct option are A, C and E.

A line that a curve approaches but never touches is an asymptote. The graph of a function converges to a line known as an asymptote, in other words. When graphing functions, asymptotes are usually not necessary to be drawn. The curve must not contact the asymptote when we graph them using dotted lines (imaginary lines). As a result, the asymptotes are merely made-up lines. When either the value of x or y tends to or -, the distance between the asymptote of a function, y = f(x), and its graph is close to zero.

Option A is correct as according to the option A: - B(w)= [tex]\frac{120w}{150+w^{2} }[/tex], w=0.

On putting the value of w=0 in above function implies B(w)=0.

Hence, number of boxes of cereals sold is 0 after 0 weeks.

Option C is correct as function B(w) is decreasing function after reaching its maxima according to graph.

Option E is correct as B(w)= [tex]\frac{120w}{150+w^{2} }[/tex], if w>0

implies that B(w)>0 as numerator>0 and denominator>0.

Based on the asymptote of function the number of boxes of cereals never reach 0 after cereals introduced in the store.

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The number of unique orders that Gabriel can arrange for the new flavors of his favourite snak is 6..

The term permutation refers to the mathematical calculation of the number of ways a given set can be arranged. Simply put, permutation is a word that describes the number of ways things can be ordered or arranged. With permutations, the order of placement is important.

P(n,r) = n!/(n-r)!

where n --> total items in the set;

r --> items taken for the permutation;

"!" --> denotes taking the factorial

We have given that,

total possible flavours of Gabriel's favorite snack = 3

He wants to try each of the new flavors one after the other.

We have to calculate the number of ways Gabriel can arrange the new flavors .

For this Use the permutation formula,

ⁿPᵣ = n!/(n-r)!

here , n = 3 , r = 3 then,

P (3,3) = 3!/(3 − 3)!

= 3!/0!

As we know that 0! = 1 so, P(3,3) = 3!

= 3×2×1 (because n! = n(n-1)(n-2)---3.2.1 )

= 6

There are 6 unique orders in which Gabriel can arrange the new flavors.

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The hypothesis is a proposed cause of a phenomenon in this binge drinking the hypothesis is not proof.

For a speculation to be a systematic speculation, the clinical technique calls for that you will take a look at it. Scientists normally base clinical hypotheses on preceding observations that can't satisfactorily be defined with the to be had clinical theories.

Unintended being pregnant and terrible being . Binge consuming is sort of two times as not unusualplace amongst guys than amongst women.There isn't anyt any proof of a great affiliation among binge consuming and age group. Fail to reject Hypothesis.

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The value of the given car after 7 years will be $2880 which has been decreasing by 20% every three years.

A car is currently $6,000 and has been decreasing by 20% every three years.

After 7 years, the car will have decreased in value by 7 / 3 = 2 full cycles of 20%.

Each cycle decreases the value of the car by 20/100 × $6,000 = $1200.

After two cycles, the value of the car will be :

$6,000 - 2 × $1,200 = $3,600.

After 7 years, the car will have decreased in value by an additional :

$3,600 × 20/100 = $720.

So, after 7 years, the car will be worth :

$3,600 - $720 = $2880.

Therefore, the value of the given car after 7 years will be $2880.

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[tex]\tan 64^{\circ}=\frac{x}{11} \implies x=11 \tan 64^{\circ}[/tex]

The required measure of the angle x is given as 117.38°.

A triangle is given with a measure of.
a = 50, b = 55 and c = 90ft

The triangle is a geometric shape that includes 3 sides and the sum of the interior angle should not be greater than 180°

Here,
Apply cosine formula,
c² = a² + b² -2abcosx
Substitute the value in the above expression,
90² = 50² + 55² - 2×50×55×cosx
cosx = -0.46
x = cos⁻¹[-0.46]
x = 117.38°

Hence, as a result, the measure of the angle x is 117.38°.

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The angular radius θ of the first dark ring for a point source being imaged by this telescope is 4.00 × 10^-5 degrees

The value of λ = 550 nanometer

The value of D = 0.96 m

We have to find the angular radius theta

The equation will be

sin θ = 1.22λ / D

Substitute the values in the equation

sin θ = 1.22 × (550 × 10^-9) / 0.96

Multiply the term in the numerator

sin θ = 6.71 × 10^-7 / 0.96

Divide the numbers

sin θ = 6.98 × 10^-7

θ = sin^-1 (6.98 × 10^-7)

θ = 4.00 × 10^-5

Therefore, the value of θ is 4.00 × 10^-5 degrees

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0 in the bank balance represent there is no money in account and there is no negative balance.

Elevation is the process of moving up to a higher or more important position, state, or level.

Example1: Mrs. Bautista has a bank balance of -42 dollars at the start of the month. After she deposits 42 dollars, what is the new balance?

The new balance in Mrs. Bautista account

-42+42=0

Example2: A submarine hovers at elevation 240 meters below sea level. If it elevate farther 150 meters and then elevated back 390 meters to surface, what is its new position?

Now, the new position of a submarine is

(-240-150)+390

= -390+390

= 0

So, 0 is the surface of sea level.

Therefore, 0 in the bank balance represent there is no money in account and there is no negative balance.

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The theorem to shows triangle ATC is congruent to triangle BTD will be ''SAS'' theorem.

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

Given that;

The triangle ATC is congruent to triangle BTD.

Now,

In the figure, we get;

⇒ AT = TB   (Side)

⇒ AC = BD  (Side)

⇒ ∠ATC = ∠DTB = 90°  (Vertically opposite angle)

Thus, By using SAS theorem the triangle ATC is congruent to triangle BTD.

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Therefore , the answer is  the confidence interval is positive, the researcher can conclude there is a greater proportion of men than women who watch television regularly.

A confidence interval in frequentist statistics is a range of estimates for an unobserved parameter. The most common confidence level for computing confidence intervals is 95%, however other levels, including 90% or 99%, are sporadically employed.

Here,

Assuming that the confidence interval's lower and upper bounds are both positive and that it does, then one of the proportions must be larger than the other as the confidence interval's range corresponds to the difference in proportions. Men watch television more frequently than women do (56/70 vs. 47/85, according to a quick calculation of the proportions).

The reply is "D" The researcher can infer that more men than women routinely watch television because the confidence interval is positive.

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Answer: 3.51

Step-by-step explanation:

Answer: The tip was 3.50$

Step-by-step explanation: Since the tip is 20% you would times the given amount by 20 then divide it by 100.

20 x 17.53 / 100 = 3.506

We're rounding to the nearest cent, so that would be 3.50.

The percentage of customers getting free games is 25%

To calculate the percentage, divide the value by the total value and multiply the result by 100.

Formula for percentage = (Value/Total value) 100

Example: 2/5 of 100 = 0.4 of 100 = 40%

We must use a different formula to calculate the percentage of a number, such as:

X = P% of Number

where X represents the required percentage.

If we remove the % sign, the above formulas must be expressed as;

X = P/100 * Number

Given:

Total number of customers = 120 customers

customers have free game = 30 customers

so, let the percentage will be x%

[tex]percent = \frac{x}{100}whole\\ 30 = \frac{x}{100}120\\ \frac{3000}{120} = x\\x= 25[/tex]

so the percentage of customers getting free games is 25%

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Answer:

140 Miles

$70.2

Step-by-step explanation:

1. Set up an equation

    In this case, the equation would be [tex]59 +0.08x=52+0.13x[/tex]

    In this equation, x = miles

2. Simplify

    You need to subtract 0.08x from the left side and 52 from the right   side.  

    This will give you a number that is equal to an x value.

    [tex]7=0.05x[/tex]

3. Divide

    Divide 0.05 from both sides. This will give you X=140. Since x=miles,                

    You would need to drive 140 miles to make the two sides equal.

4. Find the cost.

    Plug the 140 in for the x on one side. You only need to do this to one  

    side because both of the sides are equal.

    59 + (0.08 x 140) = $70.2

Answer: x = 15/11

Step-by-step explanation:

55x - 20 = 55

      + 20     +20

55x = 75

/55     /55

x = 75/55

x = 15/11

x = 1 4/11

Answer: x=1.36363636364

Answer:

(0,3)

Step-by-step explanation:

Answer:0,3

Step-by-step explanation:

Both sides of an equation must contain the same number of atoms in order for it to be properly balanced.

An element is balanced if it has the same amount of atoms on both sides of the equation. The equation is balanced if all the components are in balance. Equal numbers and types of each atom appear on both sides of balanced chemical equations. A balanced equation must have coefficients that are the simplest whole number ratio. Chemical reactions always conserve mass.

When the quantity of each type of atom is the same on both sides of the reaction, a chemical equation is considered to be balanced. A chemical equation should have the same number of atoms on both sides. The number of atoms for each element is conserved during a chemical reaction, despite the possibility that reactant molecules may change during the process (producing distinct molecules of product).

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Correct Question:

If an equation is balanced properly both sides of the equation must have the same number of _________________.