Answer:
A) Mean = 21.5
Standard deviation = 3.3
B) - Values of 14.9 girls or fewer are significantly low.
- Values of 28.1 girls or higher are significantly high
C) - The result is significantly high, because 32 girls is greater than 28.1 girls
-A result of 32 girls would suggest that the method is effective.
Step-by-step explanation:
A) We are given;
Number of couples; n = 43
Probability it is a girl; p = 0.5
Formula for mean is;
Mean; x¯ = np
x¯ = 43 × 0.5
x¯ = 21.5
Formula for standard deviation is;
SD = √(np(1 - p))
SD = √(43 × 0.5 × (1 - 0.5))
SD = √(43 × 0.5²)
SD ≈ 3.3
B) range rule of thumb is that the values are usually within 2 standard deviations from the mean.
Thus, we have;
x¯ ± 2SD
This gives;
21.5 ± 2(3.3)
That is;
21.5 + 6.6 and 21.5 - 6.6
To get; 28.1 and 14.9
This means that;
- Values of 14.9 girls or fewer are significantly low.
- Values of 28.1 girls or higher are significantly high
C) If the result is 32,it doesn't fall in between 14.9 and 28.1. As a matter of fact it is higher than 28.1, therefore we can say it is significantly high
- A result of 32 girls would suggest that the method is effective.
if cos 25°=K , determine cos50°
Answer:
cos 50⁰ = cos 2.25⁰ = 2cos²25⁰ - 1 = 2K² - 1
Choose the correct symbol to
compare these numbers.
0.480 [?] 4.8
Answer: >
Step-by-step explanation:
Can someone pls help me with this
(3/4•8a)+(3/4•12)= 23.4, what does A mean???
Answer:
Well, a is supposed to be an unknown number. And that unknown number is supposed to multiply by 8. Now A is suppose to equal 8.4.
The workers at a nursery plant 37 trees in each of 15 parks. They plant 42 trees in each of 23 parks.
How many trees do the workers plant in all?
WHOEVER ANSWERS FIRST AND BETTER GETS BRAINLEY
A hardware store received 2.5 tons of
lumber. What is the weight of the
lumber in pounds?
A 50,000 pounds
® 25,000 pounds
5,000 pounds
D 2,500 pounds
Answer:
5000 pounds
Step-by-step explanation:
Hello There!
There are 2000 pounds in 1 ton
So to convert tons to pounds we multiply by 2000
2.5x2000=5000
So 2.5 tons is the equivalent if 5000 pounds
1. What is the solution to the equation 4(x+3)=24
x=5.25
x=3
x=6.75
x=6
Answer:
x = 3
Step-by-step explanation:
Your first step is to divide each side by 4. This would give you x + 3 = 6. Now, all you have to do is subtract 3 from the left side to move it to the right. This would give you the final answer of x = 3.
Answer:
x = 3
Step-by-step explanation:
4(x + 3) = 24
First we want to isolate the binomial x + 3 by dividing both sides by 4.
x + 3 = 6
Now, subtract 3 from both sides.
x = 3
This is your answer.
Check your answer by plugging x = 3 back into the equation.
4(x + 3) = 24
4(3 + 3) = 24
4(6) = 24
24 = 24
Your answer is correct.
Hope this helps!
A certain company sends 50% of its overnight mail parcels via express mail service E1. Of these parcels, 1% arrive after the guaranteed delivery time (denote the event late delivery by L). Suppose that 10% of the overnight parcels are sent via express mail service E2 and the remaining 40% are sent via E3. Of those sent via E2 on 2% arrive late, whereas 5% of the parcels handled by E3 arrive late.
A. If a record of an overnight mailing is randomly selected from the company's file, what is the probability that the parcel went via El and was late?
B. What is the probability that a randomly selected parcel arrived late?
C. If a randomly selected parcel has arrived on time, what is the probability that is was not sent via E1?
Answer:
A. 0.005 = 0.5% probability that the parcel went via El and was late
B. 0.027 = 2.7% probability that a randomly selected parcel arrived late.
C. 0.8148 = 81.48% probability that is was not sent via E1
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.
A. If a record of an overnight mailing is randomly selected from the company's file, what is the probability that the parcel went via El and was late?
50% are chosen via E1, and of those, 1% were late. So
[tex]p = 0.5*0.01 = 0.005[/tex]
0.005 = 0.5% probability that the parcel went via El and was late
B. What is the probability that a randomly selected parcel arrived late?
1% of 50%(via E1)
2% of 10%(via E2)
5% of 40%(via E3).
So
[tex]p = 0.01*0.5 + 0.02*0.1 + 0.05*0.4 = 0.027[/tex]
0.027 = 2.7% probability that a randomly selected parcel arrived late.
C. If a randomly selected parcel has arrived on time, what is the probability that is was not sent via E1?
Conditional Probability.
Event A: Late
Event B: Not sent via E1
0.027 = 2.7% probability that a randomly selected parcel arrived late, which means that [tex]P(A) = 0.027[/tex]
Late and not sent via E1:
2% of 10%(via E2)
5% of 40%(via E3).
So
[tex]P(A \cap B) = 0.02*0.1 + 0.05*0.4 = 0.022[/tex]
Desired probability:
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.022}{0.027} = 0.8148[/tex]
0.8148 = 81.48% probability that is was not sent via E1
The grade six pupils decided to have an income generating project. They make
pancakes and spent P100; P50 for 1k of flour, P15 for 2 eggs, P15 1/4sugar. P10 for
baking powder and P10 of margarine. If they made 50 pcs, how much they should sale
each if they add 20% profit?
AP 2.30
B. P 3.00
C. P 2.40
D. P 2.50
Answer:
c. P 2.40
Step-by-step explanation:
P 100 spent, 50 pieces made. Therefore P2 a piece. 20% of P2 is .40. Therefore total is 2 + .40 = P2.40
PLSSS ANSWERRR HAVE TO HAVE IT DONE IN 10 MIN
Answer:
466.2 ft²
Step-by-step explanation:
10x24=240
1/2[tex]\pi[/tex]12²=226.194671
240+226.194671=466.194671
Please help me or would be greatly appreciated
9514 1404 393
Answer:
A. 40° and 40°
Step-by-step explanation:
The triangle cannot have two angles measuring 100°, so the remaining two angles must be equal to each other. This eliminates choices B and D.
The sum of angles in the triangle must be 180°. This eliminates choice C.
The two other angles must both be (180° -100°)/2 = 40°.
Elroy enjoys roller skating and weight training. Let X represent the number of hours he spends roller skating weekly,
and let y represent the number of hours he spends weight training weekly. The mean of X is 5 hours, and the mean
of Y is 7 hours. Which answer choice correctly calculates and interprets the mean of the sum, S = X + Y?
Answer:
[tex]\mathbf{\mu_S = 12 }[/tex]; [tex]\text{Elroy can expect to roller skate and weight train, on average, 12 }[/tex][tex]\text{hours in a typical week.}[/tex]
Step-by-step explanation:
Given that:
The mean [tex]\mu_X = 5[/tex]
The mean [tex]\mu_Y = 7[/tex]
Where;
[tex]S= X+ Y[/tex]
[tex]\mu_S = \mu _X + \mu_Y \\ \\ \mu_S = 5+7 \\ \\ \mu_S = 12[/tex]
Thus;
[tex]\mathbf{\mu_S = 12 }[/tex];[tex]\text{ Elroy can expect to roller skate and weight train, on average, 12 }[/tex][tex]\text{hours in a typical week.}[/tex]
Answer:
C ♡♡
Step-by-step explanation:
jus took the quiz !!!
the sum of -6 times a number x and 9 is at least 27. what are the possible values of the number
Which inequality is true for x = 2?
A. 6x + 20 < 29
B. 7x - 10 < 11
C. 14x +10 < 37
D. 15x - 18 < 12
Help ASAP!!!!! Which is the same as moving the decimal point 3 places to the right in a decimal number?
Answer:
In this case, the net effect is that you moved the decimal point three places to the right, which is the same as multiplying 7 by 1,000.Step-by-step explanation:
the correct answer is b
At a factory, two machines pack bottles into boxes for shipping. Machine A can pack 8 boxes per minute, and Machine B can pack 11 boxes per minute.
1. Before shipment, an inspector found that 7 of the boxes were defective and could not be shipped. At least 200 boxes were approved for shipment. Write and solve an inequality to find the amount of time Machine A spent packing the boxes that were approved for shipment.
Answer: 25 minutes
Step-by-step explanation:
Find the length of side x in simplest radical form with a rational denominator
Answer is in the file below
tinyurl.com/wpazsebu
HURRY ASAP PLEASE
Which of the following is the inverse
Let y = f(x)
Let cr = cube root for short
y = cr{3x} + 2
Switch x and y.
x = cr{3y} + 2
Solve for y.
x - 2 = cr{3y}
Raise both sides to the 3rd power.
(x - 2)^3 = [cr{3y}]^3
(x - 2)^3 = 3y
[(x - 2)^3]/3 = y
Replace y with the inverse function notation
f^(-1) x.
f^(-1) x = [(x - 2)^3]/3
Choice b is the answer.
Susie can run 4 2/3 miles per hour. If she runs for 3/4 hours how far will she have run?
Find the sum of the following fractions:
2/8 + 1/3
Answer:
Step-by-step explanation:
Answer:
7/12. if you find a common denominator for the two, like 24 for example, 2/8 converts to 6/24 and 1/3 converts to 8/24. 6/24+8/24=14/24, and that reduced is 7/12.
Step-by-step explanation:
Chandler, Jamal, Allison, and Qi are given the following problem. In 1982, Wayne Gretsky set a record for the greatest number of hockey goals in one season with 92 goals. If a player has scored 60 goals this season and averages 2 goals per game, how many additional games must he play to break the record? Each student writes an inequality to represent the situation. Chandler wrote 60 + 2g ≥ 92 Jamal wrote 60 + 2g > 92 Allison wrote 60 + 2g < 92 Qi wrote 60 + 2g ≤ 92 Whose inequality is CORRECT? A. Qi B. Chandler C. Allison D. Jamal
Answer:
The correct answer is B.
Step-by-step explanation:
Since Chandler, Jamal, Allison, and Qi are given the following problem: "In 1982, Wayne Gretsky set a record for the greatest number of hockey goals in one season with 92 goals. If a player has scored 60 goals this season and averages 2 goals per game, how many additional games must he play to break the record? ", And each student writes an inequality to represent the situation:
Chandler wrote 60 + 2g ≥ 92
Jamal wrote 60 + 2g> 92
Allison wrote 60 + 2g <92
Qi wrote 60 + 2g ≤ 92
To determine whose inequality is correct, the following calculation must be performed:
92 - 60 = 32
32/2 = 16
Chandler: 60 + 2x16 ≥ 92
Thus, Chandler wrote the correct option.
A cylinder and a cone have the same height and radius. The height of each is 5 centimeters, and the radius is 2 centimeters. Calculate the volume of the cylinder and the cone (rounded to the nearest tenth). Use 3.14 as an approximation for n. PLS HELP 15 POINTS
Answer:
Step-by-step explanation:
volume of cylinder = πr²h = 3.14·2²·5 = 62.8 cm³
volume of cone = ⅓πr²h = ⅓·62.8 ≅ 20.9 cm³
The volume of the cone is 10.5 cm³. The volume of the cylinder is 31.4 cm³
What is the volume of the cylinder and the cone?
Volume of a cone = 1/3(nr^2h)
n = 22/7
r = radius
h = height
1/3 x 3.14 x 5 x 2 = 10.5 cm³
Volume of the cylinder = nr^2h
3.14 x 5 x 2 = 31.4 cm
To learn more about the volume of a cone, please check: https://brainly.com/question/13705125
Segment JL has endpoints J(-3, -4) and L(7, 6). What are the coordinate of point K, so that point K is on line segment JL and JK = 3/5 JL. Explain.
Answer:
K(3,2).
Step-by-step explanation:
We want to find a point K(x,y).
JK = 3/5 JL.
This means that:
[tex]K - J = \frac{3(L - J)}{5}[/tex]
We use this to find both the x-coordinate and the y-coordinate of K.
x-coordinate:
x-coordinate of J: -3
x-coordinate of L: 7
[tex]K - J = \frac{3(L - J)}{5}[/tex]
[tex]x - (-3) = \frac{3(7 - (-3))}{5}[/tex]
[tex]x + 3 = 6[/tex]
[tex]x = 3[/tex]
y-coordinate:
y-coordinate of J: -4
y-coordinate of L: 6
[tex]K - J = \frac{3(L - J)}{5}[/tex]
[tex]y - (-4) = \frac{3(6 - (-4))}{5}[/tex]
[tex]y + 4 = 6[/tex]
[tex]y = 2[/tex]
The point is K(3,2).
what is the volume of the rectangular prism?
Answer:
7 square yards
Step-by-step explanation:
3 of these blocks make a yard so
L * W * H
2 1/3 * 1 * 3 = 7/3 * 3 = 7
answer 7 square yards
Alanna is painting a border on a wall. The border consists of kite-shaped figures as shown.
3 kites are connected at 1 point.
Each kite measures 6 inches across and 12 inches long. The wall is 12 feet across. How many square inches of the wall will be covered with kites?
Answer:
its 864
Step-by-step explanation:
lil uzi vert is the best ;)
PLEASE MARK BRAINLIEST!!!!!!!!!!!!!Answer:
c, 864
Step-by-step explanation:
on edgunuity i got it right
[tex]5 - 5 \times 2 + 11[/tex]
Answer:
6
Step-by-step explanation:
We use BODMAS/BIDMAS here.
First, we do 5 × 2, as multiplication comes before subtracting and adding.
5 × 2 = 10
Now we can just add and subtract.
5 - 10 = -5
-5 + 11 = 6
let: f(x)=x+1 and g(x)=x^2-2
find: f(x)•g(x)
Answer: x3+x2−2x−2
Step-by-step explanation: Use the given functions to set up and simplify f ( x ) ⋅ ( g ( x ) ) .
Brainliest or a thank you please! have a great day/night
A jar contains 6 red jelly beans, 4 green jelly beans, and 4 blue jelly beans.
If we choose a jelly bean, then another jelly bean without putting the first one back in the jar, what is the
probability that the first jelly bean will be blue and the second will be blue as well?
- Adrian's car gets about 12.5 kilometers per liter. He is planning a 1,600 kilometer trip.
a) About how many liters of gas should Adrian plan to buy? Round your answer to the nearest liter.
b) At an average price of $0.90 US per liter, how much should Adrian expect to spend for gas?
Answer:
[tex]\Large \boxed{\sf a)\ 128 \ liters \ \ \ b)\ \$ \ 115.20}[/tex]
Step-by-step explanation:
a) distance/unit rate = 1600/12.5 = 128
b) liters of gas × unit price = 128 × 0.90 = 115.2
Answer:
a) 128 liters
b) $ 115.2
Step-by-step explanation:
Part a)
12.5 km = 1 liter
1 km = 1/12.5 liters
Multiplying both sides by 1,600
1600 km = 1600 / 12.5 liters
1600 km = 128 liters
Part b)
1 liter = $ 0.90
128 liters = 128 * 0.90
128 liters = $ 115.2
[tex]\rule[225]{225}{2}[/tex]
Hope this helped!
~AH1807Which equation does this picture BEST represent?
A. 49 ÷ 7 = 7
B. 49 - 7 = 42
C. 7 - 7 = 0
D. 49 - 49 = 0