Ian and Keith make extra money in the summer picking strawberries. Yesterday, they picked 384 pounds of strawberries altogether. Ian is more experienced and picked 3 times as many pounds as Keith. How many pounds of strawberries did Keith pick yesterday?

Answer:

12.5  ≥ s >0

Step-by-step explanation:

The perimeter of a square is given by

P = 4s where s is the side length

50 ≥ 4s

Divide each side by 4

50/4 ≥ 4s/4

25/2  ≥ s

12.5  ≥ s

Answer:

A: The distribution is skewed to the left.

Step-by-step explanation:

Skewness:

If the distribution has a long left tail, it is skewed to the left.

If it has a long right tail, it is skewed to the right.

Otherwise, it is approximately symmetrical.

In this question:

Lots of values on the start(left), few on the end(right), so it is skewed to the left, and the correct answer is given by option a.

Answer:

Both ways are correct

If you multiply the cost by 8% and add, you will still get 108% as your total.

Answer:

Both ways are correct

Step-by-step explanation:

Father's way is ( 40 × 0.08 ) + 40 = $43.2

Mothers way is 40 × 1.08 = $43.2

Answer:

a) 0.3462 = 34.62% that a randomly selected employee is a woman given that the person brings their lunch to work.

b) 0.09 = 9% probability that a randomly selected employee brings their lunch to work given that person is a woman.

c) 0.3462 = 34.62% that a randomly selected employee is a woman given that the person brings their lunch to work.

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which

P(B|A) is the probability of event B happening, given that A happened.

[tex]P(A \cap B)[/tex] is the probability of both A and B happening.

P(A) is the probability of A happening.

Questions a/c:

Questions a and c are the same, so:

Event A: Brings lunch to work.

Event B: Is a woman.

Probability of a person bringing lunch to work:

9% of 15%(woman)

3% of 100 - 15 = 85%(man). So

[tex]P(A) = 0.09*0.15 + 0.03*0.85 = 0.039[/tex]

Probability of a person bringing lunch to work and being a woman:

9% of 15%, so:

[tex]P(A \cap B) = 0.09*0.15[/tex]

Desired probability:

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.09*0.15}{0.039} = 0.3462[/tex]

0.3462 = 34.62% that a randomly selected employee is a woman given that the person brings their lunch to work.

Question b:

Event A: Woman

Event B: Brings lunch

15% of the employees are women.

This means that [tex]P(A) = 0.15[/tex]

Probability of a person bringing lunch to work and being a woman:

9% of 15%, so:

[tex]P(A \cap B) = 0.09*0.15[/tex]

Desired probability:

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.09*0.15}{0.15} = 0.09[/tex]

0.09 = 9% probability that a randomly selected employee brings their lunch to work given that person is a woman.

Answer:

Following are the complete solution in the attached file.

Step-by-step explanation:

Answer:

there are several methods to "solve a quadratic"

you can look them all up...

Graphing, factoring, completing the square, taking roots, quadratic formula are the common methods....

given the way you are asking the question I think that you are supposed to use the quadratic formula ..

please look at the image of the formula and

realize that you problem has

a=-1

b=2

c=6

just plug in those numbers into the formula and you will get the results in the "answer"

NOTE [tex]\sqrt{-x}[/tex] is written as ix ( [tex]\sqrt{-25} = 5i[/tex] )

Step-by-step explanation:

x= -2+√ (2)²- (4)(-1)(-6)  

                 (2)(-1)  

and

x= -2-√ (2)²- (4)(-1)(-6)  

             (2)(-1)  

Answer:

The answer is 82.2  

Step-by-step explanation

hope this helps

Answer:

( 0.742, 0.849 )

Step-by-step explanation:

sample size = 220

number of voters with positive response ( i.e. number of voters who believe the government is doing right )  = 175

Calculate the 95% confidence interval

P = 175 / 220 = 0.796

the 95% confidence interval = ( 0.796 ± 0.054 )

attached below is the detailed solution

Answer:

i dont no the ans

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

Given the data :

X : 10,8,18,17,7

The mean value of scores obtained can be obtained thus :

Mean = ΣX / n

n = sample size = 5

Mean = ΣX / n = (10+8+18+17+7) / 5

Mean = 60 / 5 = 12

Answer:

√202

Step-by-step explanation:

since it's the hypotenuse you are required to find

x²=11²+9²

x²=121+81

√x²=√202

x=√202

I hope this helps

Answer:

Individual is represented by a single point

Step-by-step explanation:

Answer:

C. y = ⁵/2x - 5

Step-by-step explanation:

The linear equation representing the information on the table can be expressed in the slope-intercept form as y = mx + b, where,

m = slope = change in y/change in x

b = y-intercept/initial value = the value of y when x is zero

✔️Find m using two pairs given, say (0, -5) and (2, 0):

slope (m) = (0 - (-5))/(2 - 0) = 5/2

m = ⁵/2

✔️Find b:

when x = 0, y = -5. Therefore, y-intercept, b, is -5

b = -5

✔️To write the equation, substitute m = ⁵/2 and b = -5 into y = mx + b

Thus:

y = ⁵/2x + (-5)

y = ⁵/2x - 5

Answer:

C - 136

(115+157)/2

Step-by-step explanation:

Answer:

The lines are:

and

Since after multiplying by -3 the equations sum to 0, the equations are same.

Same equations produce overlapping lines, hence you can see one line only.

Divide second equation by 3

LInes are same so you can see only one line

Answer:

(5.5,0)

Step-by-step explanation:

Mid point is ((3+8)/2,(4-4)/0)=(5.5,0)

Recall the double angle identity for cosine:

cos(x) = cos(2×x/2) = 1 - 2 sin²(x/2)

Then the equation can be rewritten as

sin(x/2) + (1 - 2 sin²(x/2)) - 1 = 0

sin(x/2) - 2 sin²(x/2) = 0

sin(x/2) (1 - 2 sin(x/2)) = 0

sin(x/2) = 0   or   1 - 2 sin(x/2) = 0

sin(x/2) = 0   or   sin(x/2) = 1/2

[x/2 = arcsin(0) + 360n °   or   x/2 = 180° - arcsin(0) + 360n °]

… …   or   [x/2 = arcsin(1/2) + 360n °   or   x/2 = 180° - arcsin(1/2) + 360n °]

x/2 = 360n °   or   x/2 = 180° + 360n °

… …   or   x/2 = 30° + 360n °   or   x/2 = 150° + 360n °

x = 720n °   or   x = 360° + 720n °

… …   or   x = 60° + 720n °   or   x = 300° + 720n °

(where n is any integer)

We get only three solutions in 0° ≤ x < 360° :

720×0° = 0°

60° + 720×0° = 60°

300° + 720×0° = 300°

Answer:

B: (0, 60, 300)

Step-by-step explanation:

right on edge

Answer:

352

Step-by-step explanation:

I = PRT  where P is the principle, I is the interest rate, T is the time

I = 275 ( .08) ( 16)

I = 352

Answer:

skip counting by 0

Step-by-step explanation:

skipcount by 0 to get to 100 for the third column.

Answer:

its the first graph

Step-by-step explanation:

I got it right bc im cool like that ig

Answer:

2 hours

Remember that time = distance/rate

The distance you need to cover is 56 miles, while you go 28 miles per hour. Using these, we get this:

time=56/28

time=2

So it will take two hours to go across a 56 mile wide bay at 28 mph.

Step-by-step explanation:

Answer:

x = 2 yd

Step-by-step explanation:

Angles of 45 degreees = two congruent legs

for the Pythagorean theorem

2x^2 = 8

x^2 = 4

x = 2

Answer:

mean

Step-by-step explanation:

The mean of a data set is the sum of the values divided by the number of values. The median of a data set is the middle value when the values are written in numerical order. If a data set has an even number of values, the median is the mean of the two middle values.

Answer:

a. 9 students

b. 20 students

c. 4 students

Answer:

the lower limit is 35% women believed and 65% of men believed in serial discrimination

Answer:

b/a = c/d    (first option)

Step-by-step explanation:

Two lines:

f(x) = a*x +b

g(x) = m*x + s

are parallel if m = a, and s ≠ b.

So the lines must have the same slope and different y-intercept.

For the graphed lines is obvious that the y-intercepts are different, so let's look at the slopes.

Remember that if a line passes through the points (x₁, y₁) and (x₂, y₂), then the slope can be written as:

slope = (y₂ - y₁)/(x₂ - x₁)

So now let's look to our lines.

The top one, passes through (-a, 0) and (0, b)

Then its slope is:

a₁ = (b - 0)/(0 - (-a)) = b/a

The bottom line passes through the points (0, -c) and (d, 0)

Then the slope will be:

m₁ = (0 - (-c))/(d - 0) = c/d

Then the lines will be only parallel if the slopes are equal, which means that we must have

b/a = c/d

The correct option is the first one.

Answer:

42

Step-by-step explanation:

We know that the mean of 6 numbers is 24. This means that

[tex] \frac{x}{6} = 24[/tex]

Solve for x.

[tex]x = 144[/tex]

If we add, x, (x+2), and (x-2). We will have 9 terms. The value of mean will change to 30. This also means that

[tex] \frac{270}{9} = 30[/tex]

[tex]144 + x + (x + 2) + (x - 2) = 270[/tex]

[tex]3x + 144 = 270[/tex]

[tex]3x = 126[/tex]

[tex]x = 42[/tex]

Answer:

6.5%

Step-by-step explanation:

sales price x sales tax rate = sales tax

156.50 x sales tax rate = 10.17

sales tax rate = 10.17/156.50

sales tax rate = .065 or 6.5%

Answer:

Step-by-step explanation:

12 months

Answer:

12 months b on edg

Step-by-step explanation:

edg 2022

Answer:

%17.80

Step-by-step explanation:

17.8% is the probability that more than 4 are wearing their seat belts.

It is a branch of mathematics that deals with the occurrence of a random event.

Given that Police estimate that 25% of drivers drive without their seat belts.

If they stop 6 drivers at random we need to find the probability that more than 4 are wearing their seat belts.

For each driver stopped, there are only two possible outcomes. Either they are wearing their seatbelts, or they are not.

he drivers are chosen at random, which mean that the probability of a driver wearing their seatbelts is independent from other drivers.

Police estimate that​ 25% of drivers drive without their seat belts.

This means that 75% wear their seatbelts, so P=0.75

If they stop 6 drivers at​ random, find the probability that all of them are wearing their seat belts.

[tex]P(X=x)=C_{n,x} p^{x} (1-p)^{n-x}[/tex]

[tex]P(X=6)=C_{6,6} 0.75^{6} (1-0.75)^{0} =0.1780[/tex]

Hence, 17.8% is the probability that more than 4 are wearing their seat belts.

To learn more on probability click:

https://brainly.com/question/11234923

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9514 1404 393

Answer:

  21

Step-by-step explanation:

Let c represent the number of child tickets sold. Then 2c is the number of adult tickets sold. The total revenue is ...

  5.80c +9.50(2c) = 520.80

  24.80c = 520.80 . . . . . . . . . simplify

  c = 21 . . . . . . . . . . . . . . divide by 24.80

21 child tickets were sold that day.