Answer:
[tex]factors \: of15 = 3 , 1\: and \: 5[/tex]
f(x) = 4+9x, find f(-3)
Answer:
R3EWS.
Step-by-step explanation:
A popular soft drink is sold in 2-liter (2,000-milliliter) bottles. Because of variation in the filling process, bottles have a mean of 2,000 milliliters and a standard deviation of 20, normally distributed. a. If the process overfills the bottle by more than 50 milliliters, the overflow will cause a machine malfunction. What is the probability of this occurring
Answer:
0.0062 = 0.62% probability of this occurring
Step-by-step explanation:
When the distribution is normal, we use the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore 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 pvalue, we get the probability that the value of the measure is greater than X.
In this question, we have that:
[tex]\mu = 2000, \sigma = 20[/tex]
a. If the process overfills the bottle by more than 50 milliliters, the overflow will cause a machine malfunction. What is the probability of this occurring
Probability of filling the bottle with more than 2000 + 50 = 2050 milliliters, which is 1 subtracted by the pvalue of Z when X = 2050. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{2050 - 2000}{20}[/tex]
[tex]Z = 2.5[/tex]
[tex]Z = 2.5[/tex] has a pvalue of 0.9938
1 - 0.9938 = 0.0062
0.0062 = 0.62% probability of this occurring
Ashley is digging for rocks at a geological site. She has 140 meters of rope and 4 stakes to mark off a rectangular area. Which set of dimensions will create a
rectangle using all the rope Ashley has with her?
14 m x 10 m
70 m × 70 m
60 m x 10 m
55 mx 10 m
Diego drank x ounces of juice. Lin drank 1/8 less than that.
Answer:
Step-by-step explanation:
Jai bought a helmet and a pair of skates.
The helmet cost £40.
He sold both items for £172.
Jai made a 135% profit on the cost of the helmet and a 60% profit on the total cost.
What was the percentage profit on the skates?
Give your answer to 1 decimal place.
Answer:
it is %224 profit on the skates
Step-by-step explanation:
Solve for m:
14m = 35
A. m = 5/3
B. m = 3/4
C. m = 2/5
D. m = 5/2
Answer:
D. m = 5/2
Step-by-step explanation:
35 / 14 = m
35 / 14 = 2.5
2.5 as a fraction is 5/2
The equivalent value of m is given by the expression m = 5/2
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
Substituting the values in the equation , we get
To solve for m, we need to isolate m on one side of the equation by dividing both sides by 14:
14m/14 = 35/14
Simplifying, we get:
m = 35/14
On further simplification of the equation , we get
m = (35/7)/(14/7)
m = 5/2
Hence , the equation is m = 5/2.
To learn more about equations click :
https://brainly.com/question/19297665
#SPJ2
Combine the like terms to create an equivalent expression. \large{7k-k+19}7k−k+19
Answer:
The simplified expression is 6k+19 .
Step-by-step explanation:
sun of the fraction 1/6 + 1/3 =
Answer:
.5 or 1/2
Step-by-step explanation:
1. A, D, E
2. A, B, D
3. C, D, E
4. A, B, C
Answer:
4. A,B,C because the dotted line on A B C have the same shape
A certain field is a rectangle with a perimeter of 870 feet. The length is 191 feet more than the width. Find the width and length of the rectangular field
Answer:
it is 679
Step-by-step explanation:
witch expression represents a number 5 times the difference of 6 and 2
Answer:
i think it is 20
Step-by-step explanation:
6-2=4
4×5=20
Which of the following steps indicates the distributive property when solving -3(x+2)=21
Answer:
When you multiply -3 to x and +2
Step-by-step explanation:
Answer:
Step-by-step explanation:
-3(x+2)=21
Multiple -3 to (x+2)
-3x-6=21
then add 6 to 21
-3x=27
Divide by -3 to get an x
Given (4,1) and slope=2, write the equation in slope-intercept form
Answer:
y = 2x-7
Step-by-step explanation:
Point-slope equation for line of slope m that passes through (x₀,y₀):
y-y₀ = m(x-x₀)
y-1 = 2(x-4)
Put into slope-intercept form:
y = 2(x-4) + 1
y = 2x - 7
What is 1 2/3 x 1 1/4 ????
Answer:
2 1/12 B)
Step-by-step explanation:
The seller of a watch marked up the price by 30%, and the new price is $468.00. What was the watch’s original price before the markup?
Answer: I THINK SO 608.4
HOPE THIS HELPS
least common denominator of 2/5 and 3/10
There were five winning lottery tickets for a total jackpot of 40,000. 3 of the winners won twice as much as the other two. how much did each of the two that won the least get?
There are five prizes available on the 1000 lottery tickets that were sold, assuming Saket purchased one. Only 0.005% of participants will win something.
What does the term probability mean?Probability measures how likely an event is to occur. It's difficult to know everything that will happen in advance. We can only forecast how likely an event is to occur using it, or how likely it is to occur.The likelihood of an event occurring is determined by probability: P(A) = f / N. Probability and odds are related, but probability is necessary for odds to exist. Probability is required before calculating the likelihood of an event. Classical, empirical, subjective, and axiomatic viewpoints are the four most popular approaches to probability.Here is an easy use of probability in daily life that you probably already utilize. Before we organize a significant outing, we always consult the weather prediction. The forecaster will occasionally say that there is a 60% chance of rain.Given,
Total number of outcomes =1000
Favorable outcomes =5
Simplify, 5 ÷ 1000
Then we get,
∴ Required probability = 0.005.
The complete question is:
1000 tickets of a lottery were sold and there are 5 prizes on these tickets, if Saket has purchased one lottery ticket. What is the probability of wining a prize ?
To learn more about probability, refer to:
https://brainly.com/question/24756209
#SPJ1
Help ASAP! 25 points! I will also give brainliest!
Answer:
756 m²
Step-by-step explanation:
I just know the answer XD
Evaluate the expression when y = -6
Y2+5Y-3
Answer:
-45
Step-by-step explanation:
(-6)2+5(-6)-3=-45
Answer:
Solve the equation for Y by finding a , b , and c of the quadratic then applying the quadratic formula. Y = − 5 − √ 97 + 24 y 12 Y = − 5 + √ 24 y + 97 12
The division property of equality could be used to solve which of the following equation
A. 5x=30
B. X/4=16
C. (X+2) (x-2)= 0
D. X+3=7
Please help me
Answer:
A
Step-by-step explanation:
5x = 30
divide both sides by 5:
x = 6
I NEED HELP PLEASE PLEASE HELP ME I WILL THANK YOU A LOT
Answer:
$8.50
Step-by-step explanation:
First, you would look at all the prices. If you have 8 tickets and they cost $62 after discount, what is the discount amount? That is 75 cents. Then, you would divide $62 by 8 tickets to get the price of each ticket. That would be $7.75 for each ticket. You would then add the discount of 75 cents to get the original price of $8.50 for each ticket.
You are applying for graduate school at University A. In the past 42% of the applicants to this university have been accepted. It is also known that 70% of those students who have been accepted have had GMAT scores in excess of 550 while 40% of the students who were not accepted had GMAT scores in excess of 550. You take the GMAT exam and score 640. What is the probability that you will be accepted into the graduate school of university A
The radius of star A is 6.9203x10^5 km, which is 108.7 times the rafius of star B. what is the radius of the star B?
Answer:
6366.4213
Step-by-step explanation: 6.9203x10^5 is 692,030. I divided 692,030 by 108.7 to get the answer. Anybody can correct any error I may have.
there was 5/8 of a pie left on the fridge Daniel ate 1/4 of the leftover .how much of a pie did he have?
Answer:
3/8
Step-by-step explanation:
Your need to change the 1/4 to eighths
so multiply it by 2
1/4 x 2/2
which equals 2/8
then you need to subtract it from the 5/8
5/8 - 2/8 = 3/8
On Monday, a local hamburger shop sold a combined total of 276 hamburgers and cheeseburgers. The number of cheeseburgers sold was two times the number of hamburgers sold. How many hamburgers were sold on Monday?
Solve the problem
There were 36,000 people at a ball game in Los Angeles. The day's receipts were $304,000. How many people paid $14 for reserved seats and how many paid $6 for general
admission?
Answer:
paid $14 for reserved seats and
paid $6 for general admission
Answer:
11,000 paid $14 for reserved seats.
25,000 paid $6 for general admission.
Step-by-step explanation:
First, we need to establish the system of equations:
x= number of people that pay $14
y= number of people that pay $6
14*x + 6*y= $304,000
x + y= 36,000
Now, we isolate x in one equation and substitute it in the other one:
x= 36,000 - y
14*(36,000 - y) + 6y = 304,000
504,000 - 8y = 304,000
200,000 = 8y
25,000 = y
x= 36,000 - 25,000
x= 11,000
11,000 paid $14 for reserved seats.
25,000 paid $6 for general admission.
List two examples of words/phrases that describe the mathematical operation of multiplication.
Answer:
Multiplied, Group Addition
Step-by-step explanation:
Again, all I know of.
Priya has 5 pencils, each x inches in length. When she lines up the pencils end to end, they measure 34.5 inches. Select all the equations that represent this situation.
Answer:
Step-by-step explanation:
You would have to divide 34.5 and 5 to be able to find out what each pencil measurement the answer is 6.9.
What is 3 meters converted to potential energy
Answer:
4 meters
Step-by-step explanation:
PLEASE help, i have limited time
Answer:
standard form: = -3x7 + y^2 = 12 - x^2
Step-by-step explanation:
