Answer:
52 adults
Step-by-step explanation:
Let 'a' represent the number of adults at the movies. Then the number of children is (140-a) and the amount collected is ...
2.70(140-a) +5.25(a) = 510.60
2.55a +378 = 510.60 . . . . . . . . . simplify
2.55a = 132.60 . . . . . . . . . . . . subtract 378
a = 52 . . . . . . . . . . . . . . . . . . divide by 2.55
There were 52 adults at the movies.
__
Additional comment
The number of children was 140 -52 = 88.
Answer:
52 adults
Step-by-step explanation:
A survey of 100 randomly selected dentists in the state of Ohio results in 78% who would recommend the use of a certain toothpaste. The population proportion is known to be p=0.72. For samples of size 100, which of the following best interprets the mean of the sampling distribution of sample proportion of dentists in the state of Ohio who would recommend the use of a certain toothpaste?
Answer:
I think its A
Step-by-step explanation:
Answer:
The mean of all sample proportions from all random samples of 100 dentists in the state of Ohio is equal to 0.72.
Step-by-step explanation:
Carl jumped 11512 feet in the long jump. Ben jumped 978 feet. How much farther did Carl jump than Ben? A. 1 5/12feet B. 1 13/24feet C. 2 11/24feet D. 2 1/2feet
Answer:
carl and ben aint human chief
Step-by-step explanation:
Answer:
1 11/12
because they ain't human chief ant answer
tyler drank 2 3 liter of water monday before going jogging. he drank 3 7 liter of water after his jog. how much water did tyler drink altogether? write your answer as a mixed number.
Tyler drank a total of 9 2/21 liters of water altogether.
Tyler drank a fraction of 9 5/21 liters of water altogether. To find the total amount of water Tyler drank, we need to add the 2 3 liters of water he drank before jogging and the 3 7 liters of water he drank after jogging. To add these fractions, we need to find a common denominator, which is 21.
For the first fraction, we need to multiply both the numerator and denominator by 7 to get 14/21. For the second fraction, we need to multiply both the numerator and denominator by 3 to get 9/21. Now, we can add these two fractions:
14/21 + 9/21 = 23/21
This is an improper fraction, so we can simplify it to a mixed number by dividing the numerator by the denominator:
23 ÷ 21 = 1 remainder 2
So, Tyler drank a total of 9 2/21 liters of water altogether.
Drinking enough water is essential for staying hydrated and healthy, especially during exercise. It is recommended to drink at least 8 cups (64 ounces or 1.9 liters) of water per day, but this can vary depending on factors such as age, gender, weight, and physical activity level. Drinking enough water can help prevent dehydration, regulate body temperature, flush out toxins, and improve overall health and well-being.
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What is a mathematical expression in linear programming that maximizes or minimizes some quantity?.
The term "Objective Function" refers to a mathematical model in linear programming which maximizes as well as minimizes some quantity.
What is termed as the Objective Function?To solve optimization problems, the objective function is required. An objective function is a linear representation of a form Z = ax + by, for which a, b are constraints and x, y are variables that must be maximized or minimized. The decision variables are variables x and y. A few constraints govern an objective function, among them are x > 0, y > 0. Linear Programming (LP): The notion of linear programming is concerned with determining the optimal value of such a linear function, also known as an objective function. The term linear refers to all of the mathematical relationships applied to the problem, and the term program makes reference to the method used to determine a specific program or plan of action.Thus, in either a mathematical optimization problem, the objective function is the real-valued function for whom value must be minimized or maximized well over set of feasible alternatives.
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simplify (5^0+4^-0•5)^2
Answer:
anything raised to the power of zero= 1
(1+1/4^½)²
(1 + 1/2)²
(3/2)²
9/4
=2.25
10.02 Evaluate Expressions Evaluate Expressions Assignment Directions: For numbers 1-6, use the order of operations to evaluate each expression. Show your work. 1. 32+ 4×(16x)-2 3. ×(6×4) +3+2 5. (28+7+6+3)x 2 20
\( \div \)
20 (5 X 2/5)+3 x ²) 4. 2× (6+2+8)-4 6. 21+3+(8-2+2)
After the calculation of the expression (32+4×(16x)-2³) ÷ (6×4+3+2) × (28+7+6+3)×2 ÷ (20(5×2/5+3x²)4 ÷ 2×(6+2+8)-4 ÷ (21+3+(8-2+2)))
We concluded that the answer will be (80x+30) ÷ 58 × (11+33x²)
What is Expressions?Expressions can be written in different forms such as numerical, algebraic, or geometric expressions. Examples of numerical expressions include 5 + 2, 3 × 8, and 10 ÷ 2. Algebraic expressions involve variables and algebraic operations, such as x + 3, 2y - 5, or 4a² + b. Geometric expressions involve formulas and measurements for calculating properties of shapes, such as the area or perimeter of a rectangle.
Expressions can be simplified by performing arithmetic or algebraic operations to reduce them to their simplest form. For example, the expression 3x + 2x can be simplified to 5x by combining the like terms.
Without an equal sign or any other relation, it is not possible to find the value of x. So according to my expression we can solve it as:
(32+4×(16x)-2³) ÷ (6×4+3+2) × (28+7+6+3)×2 ÷ (20(5×2/5+3x²)4 ÷ 2×(6+2+8)-4 ÷ (21+3+(8-2+2)))
We can simplify each of the terms step by step:
(32+4×(16x)-2³) ÷ (6×4+3+2) × (28+7+6+3)×2 ÷ (20(5×2/5+3x²)4 ÷ 2×(6+2+8)-4 ÷ (21+3+(8-2+2)))
= (32+4×(16x)-8) ÷ (6×4+5) × (44) ÷ (20(1+3x²) ÷ 2×16 ÷ 30)
= (32+64x-8) ÷ (29) × (44) ÷ (20+60x²) ÷ (8/15)
= (64x+24) ÷ (29) × (44) ÷ (20+60x²) × 15/8
= (16x+6) ÷ (29/2) × (11/5+33/5x²)
= (16x+6) ÷ (58/5) × (11+33x²)
= (80x+30) ÷ 58 × (11+33x²)
Therefore, the solution is:
(80x+30) ÷ 58 × (11+33x²)
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I know it's not a lot of points but yeah :(
Answer:
2) A, 3) Shawn is looking for a good book, he reads 12 books and then decides to read 1/4 of the amount he already read. How many books has Shawn read in total? 4) A, C, E. 5) 4
Step-by-step explanation:
2) Elena already walked 12 miles, she then walks another 1/4 of those 12 miles. The answer is A.
3) Shawn is looking for a good book, he reads 12 books and then decides to read 1/4 of the amount he already read. How many books has Shawn read in total?
4) to find the answers figure out how much they multiply one number by and multiply the other number by that amount. For example, the ratio 2:5 can be the same as 4:10 because you are multiplying the original ratio by 2 to get the new ratio.
5) The diameter of a circle is the length of one side to another. to find the length of the outer edge you need to find the circumference. To find the circumference of a circle you must use \(\pi\)*Diameter. To find the answer we must use 180/\(\pi\)D. Since pi can not be defined we will use 3.14 as a rough estimation. 3.14*12=37.68. 180/37.68=4.777070064. Since it doesn't make much sense to do .8 of a invitation then we must round down. The answer is 4.
Biased dice is thrown 30 times and the number of six seen is eight. if the die is thrown a further twelve times find the probability that a six occur exactly twice?
To find the probability of a six occurring exactly twice when the biased die is thrown a further twelve times, we need to use the concept of binomial probability.
To find the probability of a six occurring exactly twice when the biased die is thrown a further twelve times, we need to consider the previous information that the die was thrown 30 times and the number of sixes seen was eight.
Let's break down the problem into two parts:
Part 1: Probability of getting a six in the previous 30 throws
Out of the 30 throws, the number of sixes seen was eight. This means the probability of getting a six in each throw is 8/30. We can consider this probability as the success probability (p) for obtaining a six.
Part 2: Probability of getting exactly two sixes in the next twelve throws
Now, we want to find the probability of getting exactly two sixes in the next twelve throws. This scenario can be modeled by a binomial distribution. The probability mass function for a binomial distribution is given by the formula:
\(P(X=k) = C(n, k) * p^k * (1-p)^(n-k)\)
Where:
- P(X=k) is the probability of getting exactly k successes
- C(n, k) is the binomial coefficient, calculated as n! / (k! * (n-k)!)
- n is the number of trials (in this case, twelve throws)
- p is the probability of success (the probability of getting a six in each throw, which is 8/30)
- k is the desired number of successes (in this case, two)
Using this formula, we can calculate the probability of getting exactly two sixes in the next twelve throws.
P(X=2) = C(12, 2) * (8/30)^2 * (1 - 8/30)^(12-2)
Calculating this expression will give us the desired probability.
Please note that the assumption here is that the probability of getting a six remains constant throughout the throws, based on the information provided.
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√32= 2^p ,What is value of p ?
Please help me to solve this question.
You want your daily sodium intake to be less than 2300 milligrams. For breakfast, you eat a cereal bar with the nutrition label shown. What are the possible amounts of sodium you can eat during the rest of the day? Nutrition Facts Serving Size Servings Per Container Amount Per Serving Calories 120 Total Fat 3g 1 Bar (37g) Calories from Fat 30 % Daily Value* 5% 3% Saturated Fat 0.5g Trans Fat Og Cholesterol Omg Sodium 125mg 0% 5% The possible amounts of sodium you can eat during the rest of the day should be less than mg
According to the information in the nutritional table, it can be inferred that the amount of milligrams of sodium that we should consume during the rest of the day must be less than 2,175mg,
How to calculate the amount of sodium we can consume?To calculate the amount of sodium that we can consume during the rest of the day after breakfast, we must subtract the value of sodium consumed to the amount of total sodium that we want to ingest as shown below:
2300mg - 125mg = 175mgAccording to the above, it can be inferred that after consuming the cereal bar at breakfast, we should consume an amount less than or equal to 2,175mg of sodium in the other meals of the day (lunch, dinner and snacks).
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Help needed ASAP
I will give 100 points and Brainly
Answer:
D) (8,-22)
Step-by-step explanation:
I used my graphing calculator.
Answer:
D
Step-by-step explanation:
During a thunderstorm at a sports event, a detector goes off to let participants know there is lightning in the area so people can seek shelter. The accuracy of the lightning detector is summarized in the table.
Lightning detector activates Lightning detector does not activate Row Totals
Lightning in area 88% 2% 90%
No lightning in area 7% 3% 10%
Column Totals 95% 5% 100%
What is the ratio of false positives to false negatives in this scenario? Round your answer to one decimal place.
0.1
1.5
2.3
3.5
The ratio of false positives to false negatives in this scenario is 3.5.
3.5 is the correct answer. False positives are lightning detector activations when there is no lightning in the area. False negatives are lightning detector not activations when there is lightning in the area. To calculate the ratio of false positives to false negatives, divide the false positives (7%) by the false negatives (2%). 7/2 = 3.5. Therefore, the ratio of false positives to false negatives in this scenario is 3.5.
The ratio of false positives to false negatives in this scenario is 3.5.
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Answer:
i took the test :)
Step-by-step explanation:
3.5
does someone mind helping me with this problem? Thank you!
Answer:
5.20
Step-by-step explanation:
48 / 9.23 = 5.20043336945
rounded to tenth is 5.20
Hope This Helped
Answer:5.20
Step-by-step explanation:
48 / 9.23 = 5.20
The inverse function of f(x) = ex has a (horizontal/vertical)
asymptote at (x=0/y=0)
The inverse function of f(x) = ex has a vertical asymptote at x=0.
Does the inverse function of f(x) = ex have a vertical or horizontal asymptote, and at what value of x or y?The function f(x) = ex is a one-to-one function, which means it has an inverse function. To find the inverse function of f(x), we switch the roles of x and y and solve for y.
Starting with x = ey, we take the natural logarithm of both sides to get:
ln(x) = y
Therefore, the inverse function of f(x) = ex is g(x) = ln(x).
Now, to determine if g(x) has a horizontal or vertical asymptote at x=0, we need to consider the limit of g(x) as x approaches 0 from both sides.
As x approaches 0 from the positive side, ln(x) approaches negative infinity. As x approaches 0 from the negative side, ln(x) is undefined. Therefore, g(x) does not have a horizontal asymptote at x=0.
On the other hand, the graph of g(x) has a vertical asymptote at x=0, since the natural logarithm function approaches negative infinity as x approaches 0 from the positive side. So, the answer is that the inverse function of f(x) = ex has a vertical asymptote at x=0.
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Write 7320 correct to one significant figure
Within the case of 7320, the digit within the tens put is 3, which is less than 5. Hence, we circular down the units digit to 0, and the number gets to be 7300.
Within the handle of adjusting to one noteworthy figure, we ought to see the digit within the tens put (the moment digit from the cleared out) and decide whether to circular up or down. On the off chance that the digit within the tens put is 5 or more prominent, we circular up the units digit. In the event that it is less than 5, we circulate down the units digit.
This streamlines the number and keeps as it were the foremost noteworthy digit, which is 7. Adjusting to one noteworthy figure could be a valuable way to quickly estimate the greatness of a number without requiring to know the correct esteem.
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Which describes the graph of the function between x = 4 and x = 8 ?
A. Thefunction is nonlinear and increasing.
B. The function is nonlinear and decreasing.
C. The function is linear and increasing.
D. The function is linear and decreasing.
Answer:
D
Step-by-step explanation:
I think its D because linear mmeans the lines connect, and from the point ut goes down making the parabola go downwards and decrease
Can u help me pls
This homework was due last week
I really need help
thx xxx
try to to solve it please 2021 lets gooo
1.When all the three cut outs of the angles A, B, C placed adjacent to each other at a point, then it forms a line forming a straight angle, i.e. 180°.
Flence, it is proved that the sum of the three angles of a triangle is 180°.
Therefore, ∠A + ∠B + ∠C =180
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the angle of a body segment with respect to a fixed line of reference is known as a
The angle of a body segment with respect to a fixed line of reference is known as a "relative angle."
The angle of a body segment with respect to a fixed line of reference is known as a reference angle. This angle is measured between the segment and the reference line, and is used to determine the position and orientation of the segment relative to other parts of the body or external objects. The segment itself refers to a specific part of the body, such as an arm, leg, or torso, that is bounded by two or more joints or points of attachment. By measuring the reference angle of a segment, it is possible to quantify the degree of movement or displacement of that segment, and to track changes in its position over time.
In this context, the angle represents the measurement of the difference in orientation between the body segment and the reference line, while the segment refers to a specific part of the body, such as an arm or leg. The reference line serves as a fixed point for comparison, allowing you to determine the position or orientation of the body segment in relation to it.
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What type of number is shown below?
Answer:
Irrational number
Step-by-step explanation:
It's an Irrational number
Help me plssss!!!!!!
Answer:
Han OS New Visa OS de OS OS
Roman runs 3 miles every morning. His mean time is 24.7 minutes and his standard deviation is 3.2 minutes. Which of the times is the least likely for Ramon to get?
Answer:
His time would be least likely greater than 27.9 minutes or smaller than 21.5 minutes.
Step-by-step explanation:
With an standard deviation of 3.2 minutes, it is clear that the maximum time taken by Roman to complete his run of 3 miles would be
Average time + standard deviation = 24.7 minutes + 3.2 minutes = 27.9 minutes
The minimum time taken by Roman to complete his run of 3 miles would be
Average time - standard deviation = 24.7 minutes - 3.2 minutes = 21.5 minutes
Hence, his time would be least likely greater than 27.9 minutes or smaller than 21.5 minutes.
Can someone please solve number 2 ! I would literally love you forever !!!!
Answer:
sorry i wish i knew how but i would like to give you aomething other than an answer for your question and i hope this is ok.
Step-by-step explanation:
every day is a new day and a new opportunity to change the world no matter how BIG or how small. even if you make mistakes. always remember this though. whatever you put into the world, whether it be good or bad, it will always come back three times.
meaning that when you do something good something three times as good will happen to you. The same is so for bad except it would be 3 times as bad as will happen to you. I hope your day is great and may you do many great things.
what is the predicted value for accidents per 1000 licenses for a city that has 13% of its licensed drivers under age 21, according to the estimated regression equation?
Answer:2.131
Step-by-step explanation:
What is the predicted value for accidents per 1000 licenses for a city that has 13% of its licensed drivers under age 21, according to the estimated regression equation? Answer: 2.131 The p -value for "Percent under 21" in the regression output is p = 0.0000.
Question 3 (1 point) A right triangle has a leg length of 21 and a hypotenuse of 75. Find the missing leg.
Answer:
72
Step-by-step explanation:
Given that :
Triangle is right angled ;
Leg length = 21 ; hypotenus = 75 ; Length of missing leg =?
From Pythagoras :
Length of leg 2 = sqrt[(hypotenus )² - (length of leg1)²]
Let length of leg 2 = x
x = sqrt[(75 ² - 21²)]
x = sqrt(5625 - 441)
x = sqrt(5184)
x = 72
A right triangle has a leg length of 21 and a hypotenuse of 75. Find the missing leg.
A bike trail is 5 1/10 long. Jade rides 1/4 of the trail before stopping for a water break. How many miles does jade ride before stopping?
Jade rides 1.275 miles before stopping for a water break.
To solve this problem, we need to multiply the length of the trail by the fraction representing the portion of the trail that Jade rides.
First, we need to convert the mixed number 5 1/10 into an improper fraction. We do this by multiplying the whole number (5) by the denominator of the fraction (10) and adding the numerator (1). This gives us 51/10.
Next, we multiply 51/10 by 1/4 to find the fraction of the trail that Jade rides before stopping for a water break:
(51/10) x (1/4) = 51/40
To convert this fraction into a decimal, we divide the numerator by the denominator:
51 ÷ 40 = 1.275
Therefore, Jade rides 1.275 miles before stopping for a water break.
In summary, to find how many miles Jade rides before stopping, we convert the mixed number representing the length of the trail into an improper fraction, multiply it by the fraction representing the portion of the trail that Jade rides, and then convert the resulting fraction into a decimal to get our answer.
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Which situation shows a constant rate of change?
A. The outside temperature compared with the time of day
B. The cost of a bunch of grapes compared with its weight
C. The height of a bird over time
D. The number of tickets sold compared with the number of minutes before a football game
i need help
A circular cookie cake costs $12.56. If the diameter of the cookie cake is 8 inches, what is the approximate cost per square inch of the cookie cake? Use π = 3.14.
$0.04
$0.06
$0.16
$0.25
The approximate cost per square inch of the cookie cake is 0.25
What is the approximate cost per square inch of the cookie cake?From the question, we have the following parameters that can be used in our computation:
Diameter = 8 inches
So, the area is
Area = 3.14 * (8/2)^2
Evaluate
Area = 50.24
The approximate cost per square inch of the cookie cake is calcilaed as
Rate = 12.56/50.24
Evaluate
Rate = 0.25
Hence, the unit rate is 0.25
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Find the measure of the angle formed between the base of the cone and a line segment that represents the slant height.
Answer:
Step-by-step explanation:
tan Ф = opposite / adjacent
Ф = arctan ( 2 / 6)
Ф = 18.4349° ( this is the angle opposite of the one wanted, or ∠C)
then
180 = 90+ 18.4349° +∠A
71.565 = ∠A
can i please have help with this i don’t understand
Answer:
Have attached the frequency polygon below.
hope that helps...