a nationwide survey showed that 4% of childrean like lima beans. what is the probability that any 2 childrean will both like limabeans

Answer: 57.8

Step-by-step explanation:48.7 seconds + 49.3 seconds.= 57.8

Answer:

Simplify:

=35+30s+−45t

=30s−45t+35

Factor:

30s−45t+35

=5(6s−9t+7)

5(6s−9t+7)

Step-by-step explanation:

Can you give me Brainliest please

Answer:

B) 79°

Step-by-step explanation:

All interior angles of a circle add up to 180°.

We have 2 angles 53° and 48°, so we can write an equation:

53+48+x=180

simplify

101+x=180

subtract both sides by 101

x=79

So, the measure of angle SRT is 79°

Hope this helps! :)

Answer:

y+2=2(x-5)

Step-by-step explanation:

y-(-2)=2(x-5)

y+2=2(x-5)

When the temperature increased by 19.8 degrees fahrenheit , the temperature in degrees Celsius got increased by 11 degree

The equation C that gives the temperature in degree Celsius is

C = \(\frac{5}{9}(x - 32)\)

Where x denotes the degree Fahrenheit

According to the question,

Temperature has increased by 19.8 degree Fahrenheit

So, let the new temperature be " x' "

x' = x + 19.8

Therefore, For calculating temperature in degree Celsius

=> C' = 5/9 (x' - 32)

Substituting the value of x'

=> C' = 5/9 (x + 19.8 - 32)

=> C' = 5/9 ( x - 32) + 5×19.8/9

=> C' = C + 99/9

=> C' = C + 11

Hence , The temperature increased by 11 degree Celsius

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The value of x in the given diagram is 50°

From the question, we are to determine the value of x

From the Vertically opposite angles theorem, we have that vertically opposite angles are congruent.

Thus,

From the given diagram, we can write that

[2(x + 10)]° = (3x - 30)°

Now, we will solve for x

[2(x + 10)]° = (3x - 30)°

2(x + 10)° = (3x - 30)°

2x + 20° = 3x - 30°

20° + 30° = 3x - 2x

50° = x

Hence,

x = 50°

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Answer:

$27.34

Step-by-step explanation:

250 miles divided by 32 miles per gallon equals 7.8125  which is the number of gallons needed.    Then multiple 7.8125 by the cost per gallon $3.50 to determine the cost of the fuel needed.    

The total cost of gas for Jhon during the trip is $27.34375.

Given that, John is planning a 250 mile long road trip.

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Here,

The number of gallons of gas = Number of miles/Rate

= 250/32

= 7.8125 gallons

The total cost of gas = 7.8125 × 3.50

= $27.34375

Therefore, the total cost of gas for Jhon during the trip is $27.34375.

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Answer:

2.4

Step-by-step explanation:

Answer is  2.4

Answer:

12/5

Step-by-step explanation:

To evaluate the integral ∫(dx/( x²+ x√x)), we can perform a substitution by letting u = √x. The differential du can be obtained by differentiating both sides of the equation, giving us du = (1/(2√x))dx.

By replacing dx with (2√x)du in the integral, we can simplify the expression and write it in a more convenient form.

We are given the integral ∫(dx/(x² + x√x)), and we want to find a convenient substitution. Let's choose u = √x as our substitution variable. To find the differential du, we differentiate both sides of the equation u = √x with respect to x:

du/dx = (1/(2√x))

Now, we can solve for dx in terms of du:

dx = (2√x)du

Substituting this expression for dx into the original integral, we get:

∫((2√x)du/(x² + x√x))

Simplifying the expression, we have:

∫(2u du/(u⁴ + u³))

Now the integral is in a more convenient form. We can proceed with evaluating it or performing further manipulations based on the desired outcome.

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The set of all numbers of the form a+b*sqrt(2), where a and b are integers, is countable.

This can be proven by first showing that sqrt(2) is irrational, which implies that the function f(a; b) = a + b*sqrt(2) is one-to-one and onto from the set Z Z = {(a,b)} to the set of numbers {a+b*sqrt(2)}.

This reduces the proof to showing that Z Z is countable. Z Z is a subset of Z x Z and Z x Z is countable, as it can be put into a one-to-one correspondence with the set of natural numbers. Thus, there is a bijection between Z x Z and the set of numbers {a+b*sqrt(2)}, which implies that the set of numbers a+b*sqrt(2) is countable.

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Answer: 4 and 5

Step-by-step explanation:

4.89 is higher than 4 and lower than 5

Answer:

y = (x/400)*14

Step-by-step explanation:

y= how much money Anna earns

x= number the envelopes stuffed

(x/400) = how many $14 will get  

y = (x/400)*14

Check or equation:

if Anna stuffs 400 envelopes then x= 400

the earns money y is y = (x/400)*14

y = (400/400)*14= 1*14 = $14 ✅

if Anna stuffs 800 envelopes then x= 800

the earns money y is y = (x/400)*14

y = (800/400)*14= 2*14 = $28 ✅

The point (5, 10) has not been translated in the given figure.Hence this statement is false.

The graph shows five points.

A point has been translated right and up.

Now, the statements that are true based on the graph are as follows:

The point (9, D) has been translated right and up.Answer: False

There is no information given about point (9, D).

So, we cannot say anything about the translation of point (9, D).

The point (1, 8) has been translated right and up.Answer: True

As explained above, the point (1, 8) has been translated 7 units to the right and 2 units up to get the new point (8, 10). So, this statement is true.

The point (2, 9) has been translated right and up.Answer: False

The point (2, 9) has not been translated in the given figure.

So, this statement is false.

Statement 4: The point (8, B) has been translated right and up.Answer: True

The point (8, B) has been translated 1 unit up in the given figure. So, this statement is true.

The point (5, 10) has been translated right and up.Answer: False

The point (5, 10) has not been translated in the given figure.

So, this statement is false.

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Answer:

y = 20

Step-by-step explanation:

y = kx

24 = 6k

24/6 = 6k/6

k = 4

y = kx

y = 4(5)

y = 20

Answer: Water: 120 gallons

Premium Antifreeze: 200 gallons

Step-by-step explanation:

Had to complete the question first.

A chemical company mixes pure water with their premium antifreeze solution to create an inexpensive antifreeze mixture. The premium antifreeze solution contains 80% pure antifreeze. The company wants to obtain 320 gallons of a mixture that contains 5% pure antifreeze. How many gallons of water and how many gallons of the premium antifreeze solution must be mixed?

Water: ____ gallons

Premium Antifreeze: _____ gallons

Solution:

Let w = amt of water required

An equation based on the the percent water, an 80% solution is 20% water

Multiply through

= 20% (320 - w) + w = 50% x ( 320)

64 - 0.2w + w = 160

Collecting like times

0.8w = 160 - 64

w = 96%

w = 120 gal of water to produce 320 gal of 50% antifreeze

320 - 120 = 200 gal of 80% solution

Water: 120 gallons

Premium Antifreeze: 200 gallons

Answer:

20+0.45x=35+0.20x

Step-by-step explanation:

From the information given, you can say that Andy's plan cost would be equal to Jeff's plan cost and then solve for the number of text to find when the phone plans will cost the same:

20+0.45x=35+0.20x, where x is the number of texts

Now, you can solve for x:

0.45x-0.20x=35-20

0.25x=15

x=15/0.25

x=60

According to this, the equation that can be used to determine when the phone plans will cost the same based on the number of texts is 20+0.45x=35+0.20x.

To find out how many more kilometers Bertie rode than Valene, we need to convert Valene's distance from meters to kilometers.

Bertie rode 3.5 kilometers, which is already in the desired unit. However, Valene's distance of 2000 meters needs to be converted to kilometers.

Since there are 1000 meters in a kilometer, we divide 2000 meters by 1000 to get 2 kilometers.

Now we can calculate the difference in distance between Bertie and Valene. By subtracting Valene's distance from Bertie's distance, we get:

3.5 kilometers - 2 kilometers = 1.5 kilometers.

Therefore, Bertie rode 1.5 kilometers more than Valene. This means that Bertie covered an additional 1.5 kilometers in distance compared to Valene.

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Answer:

x = 8

Step-by-step explanation:

6x - 5 = 5x + 3

6x - 5x = 3 + 5 (combining like-terms)

x = 8

Hope this helps!

The correct answer is Yes, past age 85 years of age, for every 100 men, there are 200 women.

Given,

In the question:

Your grandmother is 87 years old and she has remarked to you that nearly all of her friends are women. She told you that it is rare to see a man older than age 85. She is correct because, after age 85, for every 100 men, there are __________.

Now, According to the question:

Your grandmother is 87 years old and she told you that all of her friends are women. There is no single man in her circle of friends. She also told that it is rare to see a man over the age of 85. It is because of the fact that women are more in number than man above the age of 85 and this ratio is like 100 men per 200 women, which means the chances of getting a male friend is almost half after the age of 85. So women are more in number than men.

Hence, The correct answer is Yes, past age 85 years of age, for every 100 men, there are 200 women.

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Answer:

33/16

Step-by-step explanation:

The number of students who registered for both robotics and app development is 70.

The percentage is calculated by dividing the required value by the total value and multiplying by 100.

Example:

Required percentage value = a

total value = b

Percentage = a/b x 100

Example:

50% = 50/100 = 1/2

25% = 25/100 = 1/4

20% = 20/100 = 1/5

10% = 10/100 = 1/10

We have,

Total members = 280

The number of members who registered for the robotics class.

= 75% of 280

= 3/4 x 280

= 3 x 70

= 210

The number of members who registered for the app development class

= 50% of 280

= 1/2 x 280

= 140

We see that,

210 + 140 = 350

But we have 280 members.

So,

The number of students who registered for both robotics and app development.

= 350 - 280

= 70

Thus,

The number of students who registered for both robotics and app development is 70.

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Answer:

(-3, 9)

2

Step-by-step explanation:

The measures of the angles of cyclic quadrilaterals will be -

Blank 1: 98 degrees

Blank 2: 82 degrees

The sum of the opposite angles of a cyclic quadrilateral is 180 degrees.

Given that, the angles of the cyclic quadrilateral are

angle BAD = 14x

angle ADC = 10x + 5

angle ABC = 15x

Clearly angle ABC and angle ADC are opposite angles of a cyclic quadrilateral. So,

angle ABC + angle ADC = 180

15x + 10x + 5 = 180

25x = 180 - 5

25x = 175

x = 175/25

x = 7

So angle BAD = 14x = 14*7 = 98 degrees

angle ABC = 15x = 15*7 = 105 degrees

angle ADC = 10x + 5 = 10*7 + 5 = 75 degrees

Since we know that the sum of all angles of a quadrilateral is 360 degrees. So, the angle BCD = 360 - (98 + 105 + 75) = 82 degrees.

So Blank 1 will be '98 degrees' and Blank 2 will be '82 degrees'.

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INFORMATION:

We know that:

- stack of mail consists of 8 bills, 10 letters, and 6 advertisements.

- One piece of mail is drawn at random and put aside. Then a second piece of mail is drawn.

And we must find P (both are letters)

STEP BY STEP EXPLANATION:

To find the probability, we need to know that we have two events. First, when one piece of mail is drawn at random and put aside and, second, when a second piece of mail is drawn.

These two events are dependent. If A and B are dependent events, P(A and B) = P(A) • P(B after A) where P(B after A) is the probability that B occurs after A has occurred.

So, first

- Probability of A (the first piece is letter)

- Probability of B after A

Since A already occurred and one piece of the mail was drawn (a letter), now in total we would have 9 letter and 23 total pieces

Finally, replacing in the initial formula

Finally, the probability would be 0.1630

ANSWER:

P (both are letters) = 0.1630

In a randomized controlled experiment, the expected total cost to study all n subjects can be calculated by multiplying the number of subjects in each group by their respective costs and summing them up.

Let's denote the number of subjects in the treatment group as n_t and the number of subjects in the control group as n_c. Since each subject is randomized into one of the two groups based on the outcome of a p-coin toss, the expected number of subjects in each group can be calculated as n_t = n * p (where p is the probability of landing heads) and n_c = n * (1 - p).

The expected total cost to study all n subjects can be calculated as:

Expected Total Cost = (n_t * t) + (n_c * c)

By substituting the values of n_t, n_c, t, and c into the equation, we can find the expected total cost to study all n subjects in the randomized controlled experiment.

For part b) of the question, if we toss n p-coins and those that land tails are tossed again until we stop, we are essentially performing a series of Bernoulli trials with success probability p.

The number of heads obtained in each trial follows a binomial distribution. Since we stop tossing when a coin lands tails, the expected total number of heads can be calculated as the sum of the expected number of heads in each trial.

The expected number of heads in each trial can be calculated as n * p, where n is the number of coins tossed in each trial and p is the probability of landing heads.

Therefore, the expected total number of heads would be n * p * k, where k is the number of trials until a tail is obtained.

For part c) of the question, where we have different coins with varying probabilities, we can calculate the expected number of tosses needed to obtain 10 heads by considering the probabilities of selecting each coin and the expected number of tosses for each coin.

Let's denote the probability of selecting the 0.25-coin as p_0.25, the fair coin as p_fair, and the 0.75-coins as p_0.75. The expected number of tosses for each coin can be calculated as the reciprocal of the probability of obtaining a head, i.e., 1/p.

The expected number of tosses to obtain 10 heads can be calculated by considering the probabilities of selecting each coin and the expected number of tosses for each coin. It would be given by:

Expected Number of Tosses = (p_0.25 * expected tosses for 0.25-coin) + (p_fair * expected tosses for fair coin) + (p_0.75 * expected tosses for 0.75-coins)

By substituting the given probabilities and expected tosses for each coin into the equation, we can find the numerical value of the expected number of tosses to obtain 10 heads.

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There are 194,481 different collections of 20 coins that can be chosen from a pile of at least 20 pennies, nickels, dimes, and quarters.

There are several ways to approach this problem, but one possible method is to use combinations. We want to choose 20 coins from a pile of pennies, nickels, dimes, and quarters, so we can count the number of ways to select each type of coin and then multiply them together by the multiplication principle of counting.

First, let's consider the pennies. We need to choose 0 to 20 pennies from a pile of at least 20 pennies, so there are 21 choices for the number of pennies.

Next, let's consider the nickels.

We need to choose 0 to 20 nickels from a pile of at least 20 nickels, so there are 21 choices for the number of nickels.Next, let's consider the dimes. We need to choose 0 to 20 dimes from a pile of at least 20 dimes, so there are 21 choices for the number of dimes.

Finally, let's consider the quarters. We need to choose 0 to 20 quarters from a pile of at least 20 quarters, so there are 21 choices for the number of quarters.

By the multiplication principle of counting, the total number of ways to choose 20 coins from the pile is the product of the number of choices for each type of coin, which is:

21 x 21 x 21 x 21 = 194,481

Therefore, there are 194,481 different collections of 20 coins that can be chosen from a pile of at least 20 pennies, nickels, dimes, and quarters.

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