Solve the equation n³ = 19

The central angle measure, x, for the Baseball slice in the circle graph is 50.4 degrees.

Given that, a survey was conducted in which 2400 people were asked to name their favorite sport to watch and the table below shows their answers: Sport percentage of people are:

Football 29%

Soccer 9%

Baseball 14%

Basketball 8%

Hockey 8%

Other 32%

We need to find the central angle measure, x, for the Baseball slice in the circle graph.

For this, we need to use the formula that gives the central angle measure in degrees for a sector of a circle:

Central angle measure = (Percentage/100) × 360°

Now, using the above formula, we can calculate the central angle measure for each sport as shown below:

Football: (29/100) × 360° = 104.4°

Soccer: (9/100) × 360° = 32.4°

Baseball: (14/100) × 360° = 50.4°

Basketball: (8/100) × 360° = 28.8°

Hockey: (8/100) × 360° = 28.8°

Other: (32/100) × 360° = 115.2°

The sum of all central angle measures should be 360°, which is the measure of a full circle.

So we can check if the calculations are correct: 104.4° + 32.4° + 50.4° + 28.8° + 28.8° + 115.2° = 360°

We see that the sum is indeed 360°, so the calculations are correct. The central angle measure for the Baseball slice is 50.4°.

Therefore, the central angle measure, x, for the Baseball slice in the circle graph is 50.4 degrees.

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The value of the experimental probability of tossing heads is,

⇒ 1 / 3

We have to given that;

Coin Toss Results: T, H, T, H, T, H, T, T, T, T, H, T, H, T, T

Where, H stands for heads and T stands for Tails.

Hence, Total outcomes = 15

And, Head outcomes = 5

Thus, The value of the experimental probability of tossing heads is,

⇒ 5 / 15

⇒ 1 / 3

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Answer:0.4

Step-by-step explanation:

4 is bigger than one so it would be like 400>127

Answer:

0.4 would be the greater number

Answer:

Part A:

To find the percentage of survey respondents who liked neither hamburgers nor burritos, we need to calculate the frequency in the "Does not like hamburgers" and "Does not like burritos" categories.

Frequency of "Does not like hamburgers" = Total in "Does not like hamburgers" category = 135

Frequency of "Does not like burritos" = Total in "Does not like burritos" category = 54

Total respondents who liked neither hamburgers nor burritos = Frequency of "Does not like hamburgers" + Frequency of "Does not like burritos" = 135 + 54 = 189

Percentage of survey respondents who liked neither hamburgers nor burritos = (Total respondents who liked neither hamburgers nor burritos / Total respondents) x 100

Percentage = (189 / 205) x 100 = 92.2%

Therefore, 92.2% of the survey respondents liked neither hamburgers nor burritos.

Part B:

To find the marginal relative frequency of all customers who like hamburgers, we need to divide the frequency of "Likes hamburgers" by the total number of respondents.

Frequency of "Likes hamburgers" = 110 (given)

Total respondents = 205 (given)

Marginal relative frequency = Frequency of "Likes hamburgers" / Total respondents

Marginal relative frequency = 110 / 205 ≈ 0.5366 or 53.66%

Therefore, the marginal relative frequency of all customers who like hamburgers is approximately 53.66%.

Part C:

To determine if there is an association between liking burritos and liking hamburgers, we can compare the joint and marginal frequencies.

Joint frequency of "Likes hamburgers" and "Likes burritos" = 29 (given)

Marginal frequency of "Likes hamburgers" = 110 (given)

Marginal frequency of "Likes burritos" = 70 (calculated by adding the frequency of "Likes burritos" in the table)

To assess the association, we compare the ratio of the joint frequency to the product of the marginal frequencies:

Ratio = Joint frequency / (Marginal frequency of "Likes hamburgers" x Marginal frequency of "Likes burritos")

Ratio = 29 / (110 x 70)

Ratio ≈ 0.037 (rounded to three decimal places)

Answer:  " x = 7 ".
____

{Note:  If one is interested, the following information provides a "step-by-step" explanation.}:

____

Method 1)

Make a ratio:
"(2x + 10) : 40 :: 3:5 " ;

Write this ratio in the form of a fraction:
→ " \(\frac{(2x+10)}{40}=\frac{3}{5}\) ";
Cross-factor multiply :
Note:  Given:  " \(\frac{a}{b} = \frac{c}{d}\) " ; "\(ad = bc\)" ; ["\(b\neq 0 ; d\neq 0\)"] ;
→As such: " \(5(2x+10) = 3 * 40\) "  ; Solve for "x";
⇒  { 5(2x + 10} / 5 =  (3 * 40)/5 ;  ⇒   2x + 10  = 120/5 ;

to get:  2x + 10  = 24 ;
   →  or:  "{5(2x + 10}/5 = \(\frac{4*30}{5}\) ";

⇒ On the "right-hand side" of the equation:
       The "30" in the numerator cancels to "6" ; and the "5" in the denominator cancels to "1" ; {since:  "30÷5 = 6" ; & since: "6÷6 = 1"} ;

and we can rewrite the equation:
⇒ 2x + 10 = 24 ; → Subtract "10" from each side of the equation:
  → 2x + 10 - 10 = 24 - 10 ;  to get:  " 2x = 14 " ;

⇒Now, divide each side of the equation by "2" ;

to isolate "x" on one side of the equation; & to solve for "x" :
→ 2x/2 = 14/2 ;  to get:  " x = 7 " .
________
Alternately, when we have:  " 2x + 10 = 24 " ; we can simplify this equation by dividing each side of the equation by "2" ;
________
⇒  {2x+10}/2 = {24/2} ;  
to get:  → (2x/2) + (10/2) = (24/2); → to get: "x + 5 = 7" ;

⇒ Then:  Subtract "5" from each side of the equation; to isolate "x" on one side of the equation; & to solve for "x" ;
⇒ x + 5 - 5 = 12 - 5 ;    to get:  " x = 7 " ;
________

Method 2)

Write this ratio in the form of a fraction:
     →    " \(\frac{(2x+10)}{40}=\frac{3}{5}\) " ;  
Cross-factor multiply :
Note:  Given:  " \(\frac{a}{b} = \frac{c}{d}\) " ; "\(ad = bc\)" ; ["\(b\neq 0 ; d\neq 0\)"] ;
As such:   →  " \(5(2x+10) = 3 * 40\) "  ;
⇒ Now; to solve for "x" ;   → "  \(5(2x+10) = 3 * 40\)  " ;

⇒ Note: Re: the "left-hand side" of the equation:
________

 " 5(2x + 10) " ;

Note the "distributive property of multiplication" :
⇒  a(b + c)  =  ab + ac ;
As such:  
→  " \(5(2x+10)\) "  ↔= " (5*2x) + (5*10) = (10x) + (50) = 10x + 50 ;
→ Then, take note of the "right-hand side" of the equation:

⇒  (40*3) = 120 ;
→ Now, we can rewrite the equation as: " 10x + 50 = 120 " ;
⇒To solve for "x": We can subtract "50" from each side of the equation:
 ⇒  10x + 50 - 50 = 120 - 50 ;  →  to get:  "10x = 70 " ;
→  Now, we can divide each side of the equation by "10"; to isolate "x" on one side of the equation; & to solve for "x" ;
________
10x/10 = 70/10 ;  to get:  "x = 7" .
________
Alternately:  " 10x + 50 = 70 " ;  Solve for "x" ;  
→ Divide each side of the equation by "10"; to simplify the equation:
→{10x+50}/10 = 120/10 ; → (10x/10) + (50/10) = 12;
→ to get: → "x+5 = 12"; Then: Subtract "5" from each side of the equation; to isolate "x" on one side of the equation; & to solve for "x ;
→ x + 5 - 5 = 12 - 5 ;  → to get:  " x = 7 " ;
________

Alternately:  We have: "10x + 50 = 120"; Solve for "x";  
→ Factor out a "10" in the "left-hand-side" of the equation:
⇒ 10(a ± b) = 120 ; Now; Solve for "a" and for "b" :
⇒ To solve for a:  →" 10a=10x "; Divide each side of the equation by "10" ; to isolate "a" on one side of the equation; & to solve for "a":
⇒ "10a/10 = 10x/10"; to get: → a = ⁺1x = ⁺x ;  → "a = x";
⇒ To solve for b : " 10b = 50 ";  Divide each side of the equation by "10";
to isolate "b" on one side of the equation;  & to solve for "b" ;
⇒  " 10b/10 = 50/10 "; to get: "b = ⁺5";
→ So; we can rewrite the equation as: "10(x + 5) = 120"; →To solve for "x" ; ⇒ Let us divide each side of the equation by "10" ;

⇒"{10(x+5)}/10 = 120/10"; → to get: "x + 5 = 12" ;
→ Then:  Subtract "5" from each side of the equation;
to isolate "x" on one side of the equation; & to solve for "x";
→ x + 5 - 5 = 12 - 5 ; →  to get:  " x = 7 " ;
____

Alternately:    → "  \(5(2x+10) = 3 * 40\)  " ; Solve for "x" :
→ Divide each side of the equation by "5";
→ {5(2x+10}/ 5 = (3*40)/5 ;  → to get: 2x + 10 = (120)/5;
to get: "2x + 10 = 40" ; and then continue using any of the variant methods described above;  to get: "x = 7" .
____
The answer would be "x = 7 cm" ; but the question asks for only a numerical value; & since both [two of the three] given measurements (in the imaged attached) are in units of "cm" ["centimeters"], we shall assume the units of measurements are all the same (in "cm"); since there is no indication to the contrary.
____
Hope this helps!
____

Answer:

Factory A = 1200

Factory B= 1350

Factory C= 1050

Factory D = 1100

Step-by-step explanation:

Factory B as the fastest rate of production

Answer:

A.=False

B.=True

C.=False

D.=True

Step-by-step explanation:

The original ration is 2 gallons of water for 4 players.

Each player requires 1/2 gallon of water.

To get the amount of water needed multiply 1/2 by the amount of players.

1*(1/2) does not equal 1

2*(1/2) equals 1

10*(1/2) does not equal 4

30*(1/2) equals 15

The z-value obtained from the test was 2.25, and the p-value was less than 0.02.

What is probability ?

Probability can be defined as ratio of number of favourable outcomes and total number of outcomes.

Based on the experiment described, a two-sample z-test for the difference in proportions was conducted to determine if there is a significant difference between the proportion of rats that succeeded in the maze after being given substance m and the proportion of rats in the control group that succeeded in the maze.

This suggests that the difference in proportions between the two groups is statistically significant at the 0.05 level of significance (since the p-value is less than 0.05).

In other words, the results of the experiment suggest that substance m may be effective in helping to restore memory, as a greater proportion of rats in the substance m group succeeded in the maze compared to the control group. However, it's important to note that further experiments and analyses would be necessary to confirm these findings and determine the extent of the effect of substance m on memory restoration.

Therefore, The z-value obtained from the test was 2.25, and the p-value was less than 0.02.

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The mistake Matt made in calculating the distance the mouse travelled each hour was that Matt should have divided the numerator but not the denominator of 3/24 by 3

The distance the mouse travelled per hour is calculated by comparison

If the mouse covers 3/24 miles in in 3 hours then in an hour the mouse will cover

3/24 = 3

? = 1

cross multiplying

3 * ? = 1 * 3/24

? = 3/24 ÷ 3

? = 3/24 * 1/3

? = 1/24

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The profit for hundred cell phone is $65000

The cost of a cell phone is $2500

and sold for $3150

The selling price of a cell phone is $3150 and

The cost price of a cell phone is $2500.

To ascertain a commodity's market price and assess a business's profitability, mathematicians utilize the profit and loss formula. The cost price and the selling price of every thing are different. We are able to determine a product's profit or loss based on the values of these prices.

Step-by-step explanation:

Profit = Selling price - Cost price

Profit = $3150 - $2500

Profit = $650

The profit for one cell phone is $650

We have to find the profit for hundred cell phone

                  $650 × 100 = $65000

The profit for hundred cell phone is $65000.

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In English language this question is "A cell phone cost $2,500 and sold for $3,150. How much profit was made for every hundred pesos?".

Answer:

a) 2L

b) 6L

c) 5 mornings

Step-by-step explanation:

1 morning : 1 litre of milk

Pls like as helpful :)

If  a pathway made of slate tiles measures ​5 1/3​yards long. A tile measuring ​2​ feet is added to the end of the pathway. The length is: C. 18 ft.

Given:

Pathway length = 5 1/3 yards

Additional tile length = 2 feet

Convert the pathway length from yards to feet since the additional tile is measured in feet.

1 yard = 3 feet

Pathway length in feet = (5 1/3) yards * 3 feet/yard

Pathway length in feet  = (16/3) * 3

Pathway length in feet  = 16 feet

So,

Total length = Pathway length + Additional tile length

Total length = 16 feet + 2 feet

Total length = 18 feet

Therefore the correct option is C.

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Answer:

please try do the rest by yourself..Of you didn't get the answer you can ask me through comment..

Answer:

A)

Step-by-step explanation:

from 0 to 5, x was moved right 5 units on the first is + 5

then, -1 to -5. it went down 4 units so -4

The distance of the straight line is √17 miles and the angle formed is

75.96°.

We know a right-angled triangle has three sides they are -: Hypotenuse,

Opposite and Adjacent.

We can remember SOH CAH TOA which is,

sin = opposite/hypotenuse, cos = adjecen/hypotenuse and

tan = opposite/adjacent.

Given, A bus drives 1 mile west and 4 miles north.

Let, The distance the bus travels along the west be adjacent and the distance traveled in the north be the height.

So, By Pythagoras' theorem,

The straight line distance = √(1² + 4²).

= √(1 + 16) miles.

= √17 miles.

Now, We know tan = opposite/adjacent.

tan = 4/1.

tan⁻¹(4/1) = Ф.

Ф = 75.96°.

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Answer:

So

437,000

In scientific notation he number has to be more then 1 and less then 10

So to make 437,000 more then 1 and less then 9, we can put the decimal between 4 and 3 so we have

4.37000

Of course in scientific notation we hav e to put the power of 10s so we moved back 5 spaces so out scientifc notation is to The power of 5

4.37 * 10^5

The required fifth roots of the given complex number as ⁵√3i = ⁵√3·⁵√i.

A complex number is a combination of real values and imaginary values. It is denoted by z = a + ib,

where a, and b are real numbers and i is an imaginary number.

The complex number is given in the question following as

3i

We have to determine the fifth roots of the given complex

As per the given question, we have

⇒ ⁵√3i

Apply the radical rule ⁿ√ab = ⁿ√aⁿ·√b,  (Assuming a ≥ 0, b ≥ 0)

⇒ ⁵√3·⁵√i

Thus, the required fifth roots of the given complex number as ⁵√3i = ⁵√3·⁵√i.

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As the elevator climbs, the angle of depression to a certain spot on the lobby floor alters. Angle of depression increases.

the arc formed as the line of sight drops from the horizon. The angle of depression is the angle formed when an object is perceived below the observer's height between the horizon and the line of sight of the observer. The depression angle is the angle formed between the line of sight looking down at the object and the horizontal line of sight. If you are on a hill or a building and you are looking down at something, you can tell the slope. To measure these angles, a theodolite or an inclinometer might be employed.

As the elevator climbs, the angle of depression to a certain spot on the lobby floor alters. Angle of the depression increases.

∠x = 65° ≤ ∠XYZ

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Answer:

Step-by-step explanation:

to write the proportion is a number of the girl in intramural sport is \(\frac{x}{y} 2/3=230\)

and find the number a girl in intramural sport is 90

The probability that either event A or B will occur is 43/60

Using the parameters given

n(A) = 29

n(B) = 14

Total number of events = 29+17+14 = 60

The probability of each event :

P(A) = 29/60

P(B) = 14/60

P(A or B ) = P(A) + P(B)

P(A or B ) = 29/60 + 14/60

P(A or B ) = 43/60

Therefore, the probability of A or B is 43/60

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Answer: 36

Step-by-step explanation: lemur sleeps 16. sloth sleeps 4 + 16, so sloth sleeps 20. Add lemur + sloth so 16 + 20 = 36.

The  volume of rectangular prism is 90 unit³.

We can consider the 1 block = 1 unit.

Length of prism = 5 unit

width of prism = 6 unit

Height of prism = 3 unit

So, Volume of rectangular prism

= l w h

= 5 x 6 x 3

= 90 unit³

Thus, the volume of rectangular prism is 90 unit³.

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Answer:

Step-by-step explanation:

3a + 2 = -2n + 3p

3a = -2n + 3p - 2

a = (-2n+3p-2)/3

a = -2/3(n) + p - 2/3

The correct option is (d) i.e. log [ √x × (x-1)^3 / ∛ (x+1)^2 ] is as the single logarithm.

What is logarithm?

Logarithm is a mathematical operation which is used to determine the exponential power of a number. It is the inverse operation of exponentiation. Logarithm is commonly used in calculus, algebra, and other areas of mathematics. It can also be used to solve problems involving exponents, roots, and powers. Logarithm is denoted by the symbol log, and is read as "log to the base". The base is the number which the logarithm is taken to. For example, log2 10 is the logarithm to the base 2 of 10. This is equivalent to saying "2 to the power of what equals 10?" The answer is that 2 raised to the power of 3 (2^3) would equal 10.

Given, log x / 2 + 3 [ log(x-1) - 2/9 log(x+1) ]

        = log √x + 3 log(x-1) - 2/3 log (x+1)            {∵ log x^a = a log x }

        = log √x + log (x-1)^3 - log (x+1)^2/3

        = log √x + log [(x-1)^3 / (x+1)^2/3]              {∵ log a - log b = log a/b }

        = log [√x × (x-1)^3 / (x+1)^2/3 ]

        = log [ √x × (x-1)^3 / ∛ (x+1)^2 ]

Hence, (d) is the correct option.

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The total amounts of money which Mrs. Reynolds now has according to the descriptions in the task content is; $68.

It follows from the task content that;

On this note;

Hence, it follows that the amount of money, s she has now is;

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Answer:

What expression?

Step-by-step explanation: