Answer:
(using the numbers youve prpvided) 3444544
Step-by-step explanation:
214 x 8 x 2012 = 3444544
the Barnes family drove 140 miles the first day and 220 miles on the second day. If they drove about 60 miles per hour, approximately how many hours did they drive?
of
The local high school had 1,000 bottles of water on hand. The school issued 4
the supply to the 9th grade, ş of the supply to the 10th grade, and 3 of the supply
to the 11th grade. How many bottles remained for the 12th grade?
Answer: the 12th graders get 150 bottles
how did i get 150?:
we know the total amount is 1,000 bottles of water
since 9th graders got 1/4 of the bottles. 1/4 of 1,000 is 250
10th graders: 1/5 of 1,000 is 200
11th graders: 2/5 of 1,000 is 400
now we ADD all of the sums together: 250+200+400 (doesnt matter which order but do go in order to not confuse yourself) the total should be 850.
FINALLY we subtract 1,000 - 850 = 150 bottles that are left for the 12th graders.
A family has 5 children. Compute the probabilities of the following events:
All five are born on Friday.
Each one is born on a different day of the week.
Answer:
1/16,807 chance that they all will be born on Friday
Probably 5/7, but don't take my word for it.
Step-by-step explanation:
There are 7 days of the week.
There is a 1/7 chance for one kid to be born on a certain day of the week.
We can attach an exponent of 5 since the 1/7 is a constant, and I'm not going to bother typing the same thing over and over again.
(1/7)^5 = 1/16,807.
The probability of all of them being born on Friday or anyday is 1/16,807.
The probability of each person being born on a different day of the week is probabily going to be 5/7, but it could be different, because you need to factor in the requirement that they are not born on the same day.
I can guarantee that the first question is probably correct, but not the second.
4. Bonus: A computer programmer was told
that he would be given a bonus of 5% of any
money his programs could save the company.
How much would he have to save the company
to earn a bonus of $500?
Answer:
$10,000
Step-by-step explanation:
.05 x = 500
x = 500/.05
x = $10,000
Suppose that you are headed toward a plateau 37 meters high. If the angle of elevation to the top of the plateau is , how far are you from the base of the plateau?
Answer:
21.36 meters
Step-by-step explanation:
Given
[tex]h = 37m[/tex]
[tex]\theta = 60^o[/tex]
Required
The distance from the base (b)
The question illustrates right-angled triangle (see attachment)
To solve for (b), we make use of tangent formula
[tex]\tan(60)=\frac{h}{b}[/tex]
Make b the subject
[tex]b =\frac{h}{\tan(60)}[/tex]
So:
[tex]b =\frac{37}{\tan(60)}[/tex]
[tex]b =\frac{37}{1.7321}[/tex]
[tex]b =21.36[/tex]
A shipment of 50 precision parts including 4 that are defective is sent to an assembly plant. The quality control division selects 10 at random for testing and rejects the entire shipment if 1 or more are found defective. What is the probability this shipment passes inspection?
Answer:
0.3968 = 39.68% probability this shipment passes inspection.
Step-by-step explanation:
The parts are chosen without replacement, which means that the hypergeometric distribution is used to solve this question.
Hypergeometric distribution:
The probability of x successes is given by the following formula:
[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]
In which:
x is the number of successes.
N is the size of the population.
n is the size of the sample.
k is the total number of desired outcomes.
Combinations formula:
[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
In this question:
50 parts means that [tex]N = 50[/tex]
4 defective means that [tex]k = 4[/tex]
10 are chosen, which means that [tex]n = 10[/tex]
What is the probability this shipment passes inspection?
Probability that none is defective, so:
[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]
[tex]P(X = 0) = h(0,50,10,4) = \frac{C_{4,0}*C_{46,10}}{C_{50,10}} = 0.3968[/tex]
0.3968 = 39.68% probability this shipment passes inspection.
What is the ratio of 6 inches to 2 feet?
Answer:
3
Step-by-step explanation:
Answer:
1 : 4
Step-by-step explanation:
2 feet is 24 inches so we are finding the ratio between
6 and 24
Simplify
1 : 4
Which best describes the function represented by the
table?
Х
-2
2
4
6
Y у
-5
5
10
15
O direct variation; k = 33 를
O direct variation; k = 5
- 를
O inverse variation; k = 10
direct variation; k = 1
10
Answer:
Direct variation
[tex]k = 2.5[/tex]
Step-by-step explanation:
Given
The attached table
Required
The type of variation
First, we check for direct variation using:
[tex]k = \frac{y}{x}[/tex]
Pick corresponding points on the table
[tex](x,y) = (-2,-5)[/tex]
So:
[tex]k = \frac{-5}{-2} = 2.5[/tex]
[tex](x,y) = (4,10)[/tex]
So:
[tex]k = \frac{10}{4} = 2.5[/tex]
[tex](x,y) = (6,15)[/tex]
So:
[tex]k = \frac{15}{6} = 2.5[/tex]
Hence, the table shows direct variation with [tex]k = 2.5[/tex]
What is the slope of (-1,3) and (3,1)
Work Shown:
Apply the slope formula
m = (y2-y1)/(x2-x1)
m = (1-3)/(3-(-1))
m = (1-3)/(3+1)
m = -2/4
m = -1/2 is the slope
In decimal form, this converts to -0.5, though usually slopes are in fraction form.
CNBC recently reported that the mean annual cost of auto insurance is 1013 dollars. Assume the standard deviation is 284 dollars. You take a simple random sample of 56 auto insurance policies. Find the probability that a single randomly selected value is less than 995 dollars. P(X < 995)
Answer:
P(X < 995) = 0.4761
Step-by-step explanation:
Normal Probability Distribution
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
CNBC recently reported that the mean annual cost of auto insurance is 1013 dollars. Assume the standard deviation is 284 dollars.
This means that [tex]\mu = 1013, \sigma = 284[/tex]
Find the probability that a single randomly selected value is less than 995 dollars.
This is the p-value of Z when X = 995. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{995 - 1013}{284}[/tex]
[tex]Z = -0.06[/tex]
[tex]Z = -0.06[/tex] has a p-value of 0.4761. So
P(X < 995) = 0.4761
the value of P where P= (1)2 + (3)2 + (5)2 +......... + (25)?
Answer:
338
Step-by-step explanation:
1×2=2 2+6+10+14+18+22+26+30
3×2=6 +34+36+38+42+46+50=338
5×2=10
7×2=14
9×2=18
11×2=22
13×2=26
15×2=30
17×2=34
19×2=38
21×2=42
23×2=46
25×2=50
How many fourths are in 3 4 ?
O 4 Over 16
O One-half
O 3
O 4
Answer:
⭕ 3hope it helps much
im honestly stuck in this question
The correct answer is the fourth one, as it pinpoints both dots perfectly
Which ordered pair is a solution of the equation?
y=-2x+5y=−2x+5y, equals, minus, 2, x, plus, 5
Choose 1 answer:
Choose 1 answer:
(Choice A)
A
Only (2,-9)(2,−9)left parenthesis, 2, comma, minus, 9, right parenthesis
(Choice B)
B
Only (-2,9)(−2,9)left parenthesis, minus, 2, comma, 9, right parenthesis
(Choice C)
C
Both (2,-9)(2,−9)left parenthesis, 2, comma, minus, 9, right parenthesis and (-2,9)(−2,9)left parenthesis, minus, 2, comma, 9, right parenthesis
(Choice D)
D
Neither
9514 1404 393
Answer:
B. only (-2, 9)
Step-by-step explanation:
A graph of the equation makes it easy to see that (-2, 9) is a solution and (2, -9) is not.
You can try these values of x in the equation to see what the corresponding y-values are.
y = -2{-2, 2} +5 = {4, -4} +5 = {9, 1}
Points on the line are (-2, 9) and (2, 1).
(2, -9) is not a solution.
Answer:
B
Step-by-step explanation:
I know it is B. I know it because I put b in and I got it right on khan academy
solve the following system of equations with the help of matrix ::. x-2y-4=0 & -3x+5y+7=0
Answer:
(x, y) = (-34,-19)
Step-by-step explanation:
...................................................
A town recently dismissed 5 employees in order to meet their new budget reductions. The town had 4 employees over 50 years of age and 16 under 50. If the dismissed employees were selected at random, what is the probability that no more than 1 employee was over 50
Answer:
0.7513 = 75.13% probability that no more than 1 employee was over 50
Step-by-step explanation:
The employees are chosen from the sample without replacement, which means that the hypergeometric distribution is used to solve this question.
Hypergeometric distribution:
The probability of x successes is given by the following formula:
[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]
In which:
x is the number of successes.
N is the size of the population.
n is the size of the sample.
k is the total number of desired outcomes.
Combinations formula:
[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
In this question:
4 + 16 = 20 employees, which means that [tex]N = 20[/tex]
4 over 50, which means that [tex]k = 4[/tex]
5 were dismissed, which means that [tex]n = 5[/tex]
What is the probability that no more than 1 employee was over 50?
Probability of at most one over 50, which is:
[tex]P(X \leq 1) = P(X = 0) + P(X = 1)[/tex]
In which
[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]
[tex]P(X = 0) = h(0,20,5,4) = \frac{C_{4,0}*C_{16,5}}{C_{20,5}} = 0.2817[/tex]
[tex]P(X = 1) = h(1,20,5,4) = \frac{C_{4,1}*C_{16,4}}{C_{20,5}} = 0.4696[/tex]
Then
[tex]P(X \leq 1) = P(X = 0) + P(X = 1) = 0.2817 + 0.4696 = 0.7513[/tex]
0.7513 = 75.13% probability that no more than 1 employee was over 50
Round 1001 to the nearest thousand.
1000 is the correct answer !
A water reservoir is shaped like a rectangular solid with a base that is 60 yards by 30 yards, and a vertical height of 30 yards. At the start of a three-month period of
no rain, the reservoir was completely full. At the end of this period, the height of the water was down to 6 yards. How much water was used in the three-month period?
How much water was used in the three-month period?
Please help :)
Answer:
43200 yd³
Step-by-step explanation:
The water reservoir is a rectangular solid that is a three dimensional shape with six quadrilateral faces (cuboid).
This reservoir has a base of 60 yards by 30 yards, and a vertical height of 30 yards. Therefore:
Volume of the reservoir = area of base * vertical height = 60 * 30 * 30 = 54000 yd³
This reservoir hence have a volume of 54000 yd³ when filled up with water.
After 3 months, the height of the water was down to 6 yards therefore the the volume is:
Volume after 3 months = area of base * vertical height = 60 * 30 * 6 = 10800 yd³
The amount of water used after 3 months = volume of water at beginning - volume of water after 3 months
The amount of water used after 3 months = 54000 - 10800 = 43200 yd³
5 times a number is 110 less than 7 times that number
Answer:
55
Step-by-step explanation:
let the number=x
5x=7x-110
7x-5x=110
2x=110
x=110/2=55
What is the gradient of the blue line?
5
4
3
2
1
-5 -4 -3 -2 - 1 0 1. 2. 3. 4. 5
- 1
- 2
- 3
- 4
- 5
The line starts at (-5,3) and finishes (5,0.5)
Answer:
The gradient is -0.25
Step-by-step explanation:
Given
[tex](x_1,y_1) = (-5,3)[/tex]
[tex](x_2,y_2) = (5,0.5)[/tex]
Required
The gradient (m)
This is calculated as:
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
So, we have:
[tex]m = \frac{0.5-3}{5--5}[/tex]
[tex]m = \frac{-2.5}{10}[/tex]
[tex]m = -0.25[/tex]
Which are the roots of the quadratic function f(q) = 92 – 125?
Answer:
There are no solution/no roots for f(q) = 92 - 125
Need help putting the answer in
Step-by-step explanation:
We can rewrite the given equation as
[tex]x^2 + \frac{1}{5}x - \frac{12}{25} = (x + \frac{4}{5})(x - \frac{3}{5})[/tex]
As a check, let's multiply out the factors:
[tex](x + \frac{4}{5})(x - \frac{3}{5}) = x^2 - \frac{3}{5}x + \frac{4}{5}x - \frac{12}{25}[/tex]
[tex]= x^2 + \frac{1}{5}x - \frac{12}{25}[/tex]
and this is our original equation.
what are the zeroes of f(x)=(x-7)(x+8)
Answer:
The zeroes of f(x) = (x-7)(x+8) are 7 and -8.
Step-by-step explanation:
You have to figure out what makes each of the equal to zero.
Step 1 : Make the 2 equations both equal 0.
x-7 = 0
x+8 = 0
Step 2: Solve for x
x-7 = 0
x=7
x+8 = 0
x=-8
So 7 and -8 are both zeroes of this function.
Help!!! ASAP Please and thank you!
Answer:
1. 6 (2a-3b)
6×2a - 3b
=12a-18b
2. a(2ab+3)
a×2ab+3
=2a²b + 3a
3. (x-4)(3x)
=3x² - 12x
just kembangkan... answer my question plss..help me.
a & gb & e(2)=6(2a-3b)= 12a-18b=a(2ab+3)=2a^b+3a= (x-4) (3x)= 3x^-12x
someone help and tell me what the correct answer is? got it wrong and want to learn
how much is -(3)(3)=
Answer:
-9
Step-by-step explanation:
Since the threes are in parenthesis, you multiply them first then apply the negative sign.
I hope this helps!
Answer:
-9
Step-by-step explanation:
Multiplying 3 by -3 will get you -9. You know it's negative because only one number is negative and 3*3=9.
if 5 breads for $100 and they want 2000 breads how much will it cost
Answer:
$40,000
Step-by-step explanation:
If 5 breads cost $100, then 1 bread will cost 100/5=20.
So if 1 bread cost $20, then 2000 breads will cost 2000*20=$40,000.
Answer:
$40000
Step-by-step explanation:
5 breads=$100
1 bread=$100/5=$20
2000 breads= $20 x 2000 = $40000
The PDF of the maximum
Let X and Y be independent random variables, each uniformly distributed on the interval (0, 1).
Let Z = max{X, Y}. Find the PDF of Z.
For 0 < z < 1
Let Z = max{2X, Y}. Find the PDF of Z.
For 0 < z < 1
For 1 < z < 2
Answer:
distinctly over here I think so
when price of indomie noodles was lowered from #50 to #40 per unit, quantity demanded increases from 400 to 600 units per week. calculate the coefficient of price elasticity of demand and determine whether by lowering price this firm has made a wise decision
Answer:
The price elasticity of demand is -10
Step-by-step explanation:
Given
[tex]p_1,p_2 = 50,40[/tex]
[tex]q_1,q_2 = 400,500[/tex]
Solving (a): The coefficient of price elasticity of demand (k)
This is calculated as:
[tex]k = \frac{\triangle q}{\triangle p}[/tex]
So, we have:
[tex]k = \frac{500 - 400}{40 - 50}[/tex]
[tex]k = \frac{100}{-10}[/tex]
[tex]k = -10[/tex]
Because |k| > 0, then we can conclude that the company made a wise decision.
HELP ASAP I WILL GIVE BRAINLIST
Convert 7π OVER 4 radians to degrees. Which quadrant does this angle lie in?
What are the sine, cosine and tangent of the angle 7π over 4? Be sure to show and explain all work.
Answer:
7π/4 radians = 315°, Quadrant IV
sin(315°) = -√2/2
cos(315°) = √2/2
tan(315°) = -1
Step-by-step explanation:
