Answer:
7.5
Step-by-step explanation:
because 7.5 x 16 = 120
The weight of people in a small town in Missouri is known to be normally distributed with a mean of 162 pounds and a standard deviation of 28 pounds. On a raft that takes people across the river, a sign states, “Maximum capacity 3,401 pounds or 19 persons.” What is the probability that a random sample of 19 persons will exceed the weight limit of 3,401 pounds?
Using the normal distribution relation, the probability that sample will exceed the weight limit is 0.004
Using the relation ::
Zscore =(X - μ) ÷ σThe mean, μ = np = (162 × 19) = 3078
The standard deviation, σ = 28 × √19 = 122.049
The Zscore :
Zscore = (3401 - 3078) ÷ (122.049)
Zscore = 2.65
Hence,
P(Z > 2.65) = 1 - P(Z < 2.65)
Using a normal distribution table :
P(Z > 2.65) = 1 - 0.9959
P(Z > 2.65) = 0.004
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From 2 Points:
(1,5) & (-2,3)
The formula to find the slope between these two points is
(1-5)/(-2-3)
(1--2)/(5-3)
(5-3)/(1--2)
use the given zero to find all the zeros of the function.
g(x)= 3x^3+11x^2+11x-5
zero: -2+i
Answer:
11x + 5
Step-by-step explanation:
a stock market fell 25 points the following day it dropped another 12 points what was the total change in the stock market after two days
Answer: its either c or b
Step-by-step explanation:
Which translation will change figure ABCD to figure A'B'C'D'?
Polygon ABCD is drawn in the 4th quadrant of a 6 by 6 grid. Point A is at the ordered pair 4, negative 2, point B is at the ordered pair 6, negative 4, point C is at the ordered pair 2, negative 5, and point D is at the ordered pair 2, negative 3. Polygon A prime B prime C prime and D prime is drawn in the 2nd quadrant. Point A prime is at the ordered pair negative 3, 3, point B prime is at the ordered pair negative 1, 1, point C prime is at the ordered pair negative 5, 0, and point D prime is at the ordered pair negative 5, 2.
7 units left and 6 units up
6 units left and 7 units up
7 units left and 5 units up
5 units left and 7 units up
Answer:
A
Step-by-step explanation: Hope it HELP
Plz hurry I really need the answer… like now
Answer:
2700 square feet
Step-by-step explanation:
5+4=9x300=2700
The nurses of a local hospital pledged of the following donations, in pesos, to the
Philippine Red Cross.
50 100 75 80 40 60 50 20 25 30 42
Find the:
(b) Mean
(c) MAD (in one decimal place only)
Answer:
Mean = 52 MAD = 47.3
Step-by-step explanation:
mean = 50 + 100+ 75 + 80 + 40 + 60+ 50+ 20 +25 +30 +42 / amount of data = 572 / 11 = 52 MAD = rearrange numbers = 100+ 80+75+ 60 + 50 + 50+ 42 + 40+30+ 25+20 = 25 + 5 +15+10+8+2+10+5+5 = 85 / amount of data = 85/9= 9.44 then distance on number line each way = 9.44/2 = 4.72 = MAD =52-4.72 = 47.28
The mean and the MAD (mean absolute deviation) of the given data are 52 and 19.4.
What is mean and MAD?Mean is the average number of the given terms and can be calculated as the ratio of the sum of the terms to the total number of terms.
mean = sum of the terms / total number of terms
MAD refers to the Mean absolute deviation which is the average distance between each data and the mean.
MAD = [tex]\frac{1}{n} \rm |X_{i} - X|[/tex]
mean = sum of the terms / total number of terms
[tex]= \frac{50 + 100 + 75 + 80 + 40 + 60 + 50+ 20+ 25+ 30+ 42 }{11}[/tex]
[tex]=\frac{572}{11}[/tex]
= 52
Mean = 52
MAD = [tex]\frac{1}{n} \rm |X_{i} - X|[/tex]
= 2+ 48 + 23 +28+ 12+8+2+32+27+22+10 / 11
= 214 / 11
Mean absolute deviation = 19.45
Therefore, the mean and the MAD (mean absolute deviation) of the given data are 52 and 19.4.
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please answer this question above
Answer:
2
Step-by-step explanation:
whatever number to the zero power equals 1
for example
192 to the zero power equals 1
7,000332 to the zero power equals 1
x to the zero power equals 1
so 1+1+1+1=4
(4)^1/2
2
i dk who made that rule its a little confusing but whatever
Brainliest?How do you write 3.707 x 10-8^-8 in standard form? ASAP BRAINLIST
What’s the LCM of 9 and 6
Answer:18
Step-by-step explanation:
6 : 6,12,18
9: 9,18
Hi there!
»»————- ★ ————-««
I believe your answer is:
LCM (9,6): 18
»»————- ★ ————-««
Here’s why:
⸻⸻⸻⸻
[tex]\text{Multiples of 6: }6,12,\textbf{18},24\\\\\text{Multiples of 9: } 9,\textbf{18}, 27, 36\\\\\\\text{Since 18 is the first common multiple that appears, it is the LCM.}[/tex]
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
Noah bought 15 baseball cards for $9.00 assuming each baseball card cost the same amount answer the following questions
Answer:
Well, each baseball card $1.60.
Step-by-step explanation:
Since, you may just divide the amount of cards to the amount of money required.
Help help help help
Answer:
Step-by-step explanation:
A(0,4)
B(6,-4)
C(-2,-8)
just multiply every point by 2
In the number 6855 is the 800 1/10 of 6000
Answer:
No
Step-by-step explanation:
x - 2/2 = 3x + 8/4
A. 12
B. -24
C. 16
x-2/2=3x+8/4
x-1=3x+2
-x. -x
-1=2x+2
-2. -2
-3=2x
÷2. ÷2
-3/2=x
Solve each absolute value inequality. Graph the solution. 2 ≤ |x| − 8
Answer:
Step-by-step explanation:
7.
Write an equation in point-slope form for the line through the given point with the given slope.
(10, –9); m = –2
A. y – 10 = –2(x + 9)
B. y – 9 = –2(x – 10)
C. y – 9 = –2(x + 10)
D. y + 9 = –2(x – 10)
Answer:
D. y + 9 = –2(x – 10)
Step-by-step explanation:
GradPoint answer
I also got the answer correct on the quiz.
Multiply 0.006 by 3.08. Express in standard form
Answer:
1.848 × 10^-2
Step-by-step explanation:
0.006 = 6 × 10^-3
3.08 = 3.08 × 10^0 (10^0 is equal to 1)
(6 × 10^-3) × (3.08 × 10^0) = 18.48 × 10^-3 = 1.848 × 10^-2
The coordinates of the vertices of quadrilateral ABCD are A(0,4), B(4,2), C(2, -1), and D(-2,1). Jorge states that quadrilateral ABCD is a parallelogram. Prove or disprove Jorge's statement. ( Will Mark Brainliest and Please Do Not Repost Someone Else's Answer on here from brainly or any other websites.
Answer: Parallelogram
Step-by-step explanation:
Yes , a parelogram will come out ; and it can be proved by the Pythagorean theorem by completing the parallelogram to a rectangle
!!!25 Points HELP ME PLS ASAP
Answer:
$4.03
Step-by-step explanation:
because 15% of 3.50 is 0.525
take 0.525 and round it up (0.53)
3.50 + 0.53 = $4.03
Answer:
$4.03
Step-by-step explanation:
there are two ways to work this problem:
a) find out what 15% of 3.50 and add it to 3.50; requires two steps
b) multiply 3.50 and 1.15 which will give you the answer in one step
Solutions:
a) 3.5 × .15 = 0.5250 which is 0.53 rounded to the nearest penny
now add 3.50 and 0.53 to get 4.03
b) multiply 3.50 and 1.15 to get 4.025 and round to 4.03
530÷34= ? Write answer as a whole number and remainder.
Answer:
15 with a remainder of 20
Step-by-step explanation:
hope it helps :)
Answer:
168 and the remainder is 7
Step-by-step explanation:
if is wrong i'm sorry
ready
A machine contains two gears. The large gear has 12 teeth and the small gear has 8 teeth.
The gears are marked with arrows to show their starting positions. Josh wants to know how
many times each gear needs to turn for the arrows to line up again.
10
•) Find the number of teeth that have touched
after each full turn of the large gear.
11
Small Gear
) Turns )
Large Gear
Teeth
Teeth
1
12
8
2
3
?
4
?
Answer:
Step-by-step explanation:
I think it is a strangely worded question as they only refer to the larger gear turning.
I believe that this is what they are going for.
Number of teeth passing in each revolution
The Numbers match when the large gear turns two times as the smaller gear turns three times.
Maria filled up her car's gas tank and then went on a trip. After she drove 329 miles, she filled her tank with 14 gallons of gas. If she drove the same number of miles on each gallon of gas, how many miles per gallon did she drive?
The constant rate of gas consumption gives an equal number of miles per
gallon of gas.
The number of miles per gallon Maria drove is 23.5 miles per gallon
Reasons:
The known information are;
Initial volume of gas in the tank = The tank was filled up
The distance in miles Maria drove = 329
The number of gallons with which Maria filled the tank = 14 gallons
Number of miles driven on each gallon = The same number of miles
Required:
The number of driven per gallon
Solution:
The number of miles driven per gallon is therefore;
[tex]Miles \ per \ gallon = \dfrac{329 \ miles}{14 \ gallons} = 23.5[/tex]
Therefore, Maria drove 23.5 miles per gallon of gas
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A truck can be rented from Company A for $100 a day plus $0.50 per mile. Company B charges $40 a day plus $0.80 per mile to rent the same truck. Find the number of miles in a day at which the rental costs for Company A and Company B are the same. At nothing miles, the rental costs are the same from either company.
Answer:
18 miles
Step-by-step explanation:
Let
The number of miles = x .According to Question ,
100 + 0.5(x) = 40 + 0.8(x) 100 + 0.5x = 40+ 0.8x 100 - 40 = 0.8x - 0.5x 60 = 0.3x x = 60/3 * 10 x = 18Ed bought cupcakes for his sister's birthday party.42 cupcakes had sprinkles on top. The other 33 cupcakes did not have sprinkles. What percentage of the cupcakes had sprinkles?
Answer:50000000000000000000000000000000000000000000000000000
A grocery store sells several different types of coffee beans by the pound. The grocery store has the coffee beans that are listed in the table.
Coffee Bean Type Weight (lb)
Arabica 9/10
Robusta 5/6
If the coffee beans are sold in 1/16 -pound bags, there are ? 12 , 13 , 14, 16 which one ??...
full bags of Arabica coffee beans.
i wouldnt know since i dont like coffee
if tiles cost $1.15 per square feet , how much would cost to tile aa rectangular room that is 13 feet by 15 feet ?
Answer:
224.25
Step-by-step explanation:
13x15x1.15
the 4.1 m of concrete is made into the shape of a cylinder. The base has radios 0.5 metres. work out the height of the cylinder ( photo attached)
Answer:
5.22m
Step-by-step explanation:
Rearrange the formula - volume = π × r² × h:
h = volume ÷ (π × r²)
volume = 4.1m³r = 0.5Plug in the numbers:
h = 4.1 ÷ (π × 0.5²)
h = 5.22028... ≈ 5.22m
Hope this helps!
The hypotenuse of a right triangle is 7 feet long. One leg is 4 feet longer than the other. Find the lengths of the legs, Round to the nearest tenth of a foot
The length of the shorter leg is ft, and the length of the longer leg is ft.
(Do not round until the final answer. Then round to the nearest tenth as needed)
Help Me Solve This
View any
Answer:
Shorter leg = 2.5 ft.
Longer leg = 6.5 ft.
Step-by-step explanation:
a^2 + b^2 = c^2
Because the hypotenuse = 7 ft, a^2 + b^2 = 49
To represent the two legs, we can use x and x+4.
x^2 + (x+4)^2 = 49
Simplifying this equation using FOIL gives us 2x^2 + 8x - 33 = 0.
Then, using the quadratic formula, we find that x = 2.5.
Thus, the shorter leg is 2.5 ft. and, when 4 is added, the longer leg is 6.5 ft.
The lengths of the sides of a square are multiplied by 3.5. How is the ratio of the areas related to the ratio of the side lengths?
A. The ratio of the areas is the square of the ratio of the side lengths.
B. The ratio of the areas is the same as the ratio of the side lengths.
c. The ratio of the areas is the cube of the ratio of the side lengths.
d. The ratio of the areas is the square root of the ratio of the side lengths.
Answer:
A The ratio of the areas is the square of the ratio of the side lengths.
Step-by-step explanation:
10 x 3.5 = 35 and would be the same size each
35 x 35 = 1225
Ratio of areas = 10x10 and 10x3.5 x 10 x 3.5 = 100 : 1225 = 4: 49
Therefore just from doing this we can find easily by referring back to ratio above shown.
D IS NOT TRUE This means the ratio of the areas (1225) is the square root of the ratio (sqrt1225=35) of the side lengths (35:35) is not true
sqrt 1225 is 35 and becomes a square root of the area
Where matching this to ratio of sides is not true as 35:35= 1:1 and the ratio to the sides are not the same as ratio of two areas. But when we square we get the answer right.
when we cross multiply (division) we find find the ratio of areas 100:1225 is NOT TRUE AND NOT SAME AS ratio 10:35
We therefore left with DIVIDING THE ratio SIDES AS SIMPLIFIED into the Areas ABOVE to show-
1225/49 = 25 same here we have the area same ratio as
100/4 = 25 same
10:35 = 3.5^2 + 3.5^2 =12.50 + 12.50 = 25
A IS TRUE. as when we square the ratio 1=3.5 and add them together 1=3.5^2 +3.5^2 we get answer = 25
Answer:
A. The ratio of the areas is the square of the ratio of the side lengths. Is correct.
Hope this helps!
HELLPP!! Find the value of x that makes line m parallel to line n:
Answer:
x = 6
Step-by-step explanation: