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
What is a natural number and what is a whole number? Explain..
Natural numbers are a part of the number system which includes all the positive integers from 1 till infinity and are also used for counting purpose. It does not include zero. In fact, 1,2,3,4,5,6,7,8,9…., are also called counting numbers excluding zero, fractions, decimals and negative numbers.
The whole numbers are the numbers 0, 1, 2, 3, 4, and so on (the natural numbers and zero). Negative numbers are not considered "whole numbers." All natural numbers are whole numbers, but not all whole numbers are natural numbers since zero is a whole number but not a natural number.
Natural numbers are also all numbers 1, 2, 3,4.. and so on. They are the numbers you usually count and they will continue on into infinity. Whole numbers are all natural numbers including 0. 0, 1, 2, 3, 4… Integers include all whole numbers and their negative counterpart, -4, -3, -2, -1, 0,1, 2, 3, 4,…
So in all these words, this means that natural numbers are all the numbers not including 0 and negative and whole numbers are all the numbers including 0 and negative.
List three examples of words/phrases that describe the mathematical operation of addition. (Example "Increased by") *
Answer:
Increased by, added, brought up (All I know of haha)
Step-by-step explanation:
Theres really no explanation to this other than learning your mathematical terms.
What would the slope of a line be to line perpendicular to the following: Y = 2x - 2
Answer:
-1/2x
Step-by-step explanation: negative reciprical
Name a fraction that is equivalent to three twelfths and also has a denominator that is less than 12. Explain how you found your answer
Answer:
In my knowledge
3/12 = 8/2
3×8=24, 12×2=24 = 8/2
so
8/2 is the fraction that is equivalent to three twelfths
Simplify:
(8x - 5) + (-2x + 7)
A. 6x + 2
B. 6x - 12
C 6x + 12
D. 10x - 12
E 10x + 2
Answer: A) 6x+2
Step-by-step explanation:
I just figured it out
Sue cut 3 pieces of ribbon. Each piece was
ot a foot long. How many feet of ribbon does she have in all? Express your answer as the sum of a whole number and the remaining fractional units. Plz help
How would you write twenty-one thousand, six hundred fifty-sixin standard form?
2165
21666
21566
21656
Answer:
21,656
Step-by-step explanation:
On Sunday, Sheldon bought 412 kg of plant food. He used 123kg on his strawberry plants and used 14 kg for his tomato plants.
How many kilograms of plant food did Sheldon have left? Write one or more equations to show how you reached your answer.
Answer:
275
Step-by-step explanation:
412kg - 123kg - 14kg = 275kg left
Because he used 275 kg out of 412kg
I need to know what this is
Answer:
[tex]★\:\: \frac{3 {x}^{3} - 18 {x}^{2} + 27x}{2 {x}^{2} + 2x - 12}\:when\:x≠2,\:3 \\ = \frac{3x( {x}^{2} - 6x + 9) }{2( {x}^{2} + x - 6) } \\ = \frac{3x( {(x)}^{2} - 2 \times (3) \times (x) + {(3)}^{2} ) }{2( {x}^{2} + 3x - 2x - 6) } \\ = \frac{3x {(x - 3)}(x - 3) }{2(x(x + 3) - 2(x + 3))} \\ = \boxed{‡ \frac{3x {(x - 3)}^{2} }{2(x + 3)(x - 2)}‡}✓[/tex]
3x(x-3)²/2(x+3)(x-2) is the right answer.PLEASE ASAP 829283+749294(284+64304)-639562=
Answer:
use the calculator by doing this types of question
Answer:
48395590593
Step-by-step explanation:
calculator
write an equation to find the length of the side,x
Answer:
[tex] \huge \: x = 18 \: ft[/tex]Step-by-step explanation:
to understand thisyou need to know abouttrigonometryequationPEMDASTIPS AND FORMULAS:[tex] \sin( \theta) = \frac{opp}{hypo} [/tex][tex] \sin( {30}^{o} ) = \frac{1}{2} [/tex]given:opp:9[tex] \theta = {30}^{o} [/tex]let's solve:according to the question
[tex] \sin( {30}^{o} ) = \frac{9}{x} [/tex]
[tex] \frac{1}{2} = \frac{9}{x} [/tex]
[tex] \huge \therefore \: x = 18[/tex]
can anyone help me please ?
Answer: 84 dollars
Step-by-step explanation:
Identify the constant of proportionality from the graph. 11 10 9 00 7 6 5 1 2 3 4 5 6 7 8 9 10 11 O A. 4 B. 8 O c. D. 3
Answer:
A. 4
Step-by-step explanation:
Constant of proportionality (k) = y/x
We can use the coordinates of any point on the line to find k.
Let's use (2, 8)
Constant of proportionality (k) = 8/2
Constant of proportionality (k) = 4
PLEASE ANSWER ASAP !!!!!!!!!!!!!!!!!!! WILL GET BRAINLEST IF CORRECT!!!!!!!!!!!!!!!!!!!!!!
Answer:
both x angles are equal to 40 degrees
Answer:
x would equal 40
Step-by-step explanation:
a line is 180, the angle inside the triangle is 100 and x is on both sides that means x would equal 40 because there is 2 x's and 100 is already a number and 180 is a line.
180 = x + x + 100
x + x + 100 - 100 = 180 - 100
x + x = 80
2x = 80
2 ÷ 2x = 80 ÷ 2
x = 40
sam writes on a white board the positive integers from 1 to 6 inclusive once each. she then writes p additional fives and q sevens on the board. The mean of all the numbers on the board is then 5.3. What is the smallest possible value of q?
Answer:7
Step-by-step explanation:
This question is on the ukmt junior maths challenge which I'm doing now, out of the options given I got 7, because 2+4+6+5+(5×20)+(7×7)= 166, (then dividing that by the number of numbers to get the mean) so 166÷31= 5.354.....
Also the 3 has a recurring symbol above it
The 7 is times seven so uh yeah<3
The smallest possible value of 'q' is 7 and this can be determined by using the hit and trial method and mean formula.
Given :
Sam writes on a whiteboard the positive integers from 1 to 6 inclusive once each. she then writes p additional fives and q sevens on the board.The mean of all the numbers on the board is then 5.3.The following steps can be used in order to determine the smallest possible value of q:
Step 1 - The formula of the mean can be used in order to determine the smallest possible value of q.
Step 2 - The mean of all the numbers is given by:
[tex]\rm \dfrac{2+4+6+5+5p+7q}{6+p+q}=5.3[/tex]
[tex]\rm \dfrac{21 + 5p + 7 q}{6+p+q} = 5.3[/tex]
Step 3 - So, by the hit and trial method, the value of q can be determined.
Therefore, the value of 'q' is 7.
For more information, refer to the link given below:
https://brainly.com/question/25277954
What is 38 percent of 10 oranges
Answer:
The answer is 3.8
Explanation:
Move the decimal over once to the left.
Answer:
3.8 oranges.
Step-by-step explanation:
Step 1: Our output value is 10.
Step 2: We represent the unknown value with x.
Step 3: From step 1 above, 10=100%.
Step 4: Similarly, x=38%.
Step 5: This results in a pair of simple equations:
10=100%(1).
x=38%(2).
Step 6: By dividing equation 1 by equation 2 and noting that both the RHS (right hand side) of both
equations have the same unit (%); we have
10/x= 100%/38%
Step 7: Again, the reciprocal of both sides gives
x/10 = 38/100
---> x=3.8$
Therefore, 38% of 10 is 3.8
I want to put 1/2 of a banana in each sack lunch. If I have
9 bananas, how many sack lunches can I make?
Answer:
18 sack lunches.
Step-by-step explanation:
You want 1/2 bananas and you have 9.
9 / 1/2 = 9 x 2 = 18 lunches.
Write the equation in slope intercept form of the line perpendicular to the given line that passes through the-given points (8,-5);y=2x+3
Answer:
y -y1= m(x-x1) is in point slope form
y --9 = -2 (x-10)
y+9 = -2(x-10)
Step-by-step explanation:
HOPE THIS HELPS!!!
Each school bus going on the field trip holds 36 students and 4 adults. There are 6 field buses on the field trip. How many people are going on the field trip?
Answer:
240 people are going on the trip
Step-by-step explanation:
216 students and 24 parents
write the first 4 terms of the sequence defined by its given rule 5. f(1) = 7, f(n) = -4.f(n - 1) + 15
Answer:
The first 4 terms of the sequence are: 3, 9, 81, 6561
Step-by-step explanation:
We are given the following recursive function:
[tex]f(n) = [f(n-1)]^{2}[/tex]
And the following initial condition:
[tex]f(1) = 3[/tex]
The second term of the sequence is:
[tex]f(2) = [f(2-1)]^{2} = f(1)^2 = 3^2 = 9[/tex]
The third term of the sequence is:
[tex]f(3) = [f(3-1)]^{2} = f(2)^2 = 9^2 = 81[/tex]
The fourth term of the sequence is:
[tex]f(4) = [f(4-1)]^{2} = f(3)^2 = 81^2 = 6561[/tex]
The first 4 terms of the sequence are: 3, 9, 81, 6561
yine bookmarks
The measures of the angles of a triangle are shown in the figure below. Find the
measure of the largest angle.
63
(4x-5)
(x+17)
Answer:
Answer: 10
Step-by-step explanation:
5x+17+2x+3+90=180
7x+20+90=180
7x+110=180
7x=70
x=10
Type the given number as a product of prime numbers. 135
Answer:
the guy on top is Wright hdjdbzudvsjahdjsvdhhdusvs
If x is any real number, then x2 ≥ 1.
Select the correct answer.
x = -2.5
x = -1.5
x = 0.5
x = 1.5
Answer:
x≤−1 or x≥1
Step-by-step explanation:
Suppose Anthony Ianni attempted 18 baskets in a basketball game. If the ratio of baskets made to baskets missed is 1:5, how many baskets did Ianni make?
Answer:
Number of baskets Lanni make = 3 basket
Step-by-step explanation:
Given:
Total attempt = 18 times
Ratio(Basket make : Basket missed) = 1:5
Find:
Number of baskets Lanni make
Computation:
Number of baskets Lanni make = Total attempt x [Basket make ratio]
Number of baskets Lanni make = 18 x [1/(1+5)]
Number of baskets Lanni make = 3 basket
help please!!!!!!!!!!!!!!!!!!!!!!!!!!!!
9514 1404 393
Answer:
second step is wrong; x = 5
Step-by-step explanation:
The correct solution is ...
3(x -3) +9 = 15
3x -9 +9 = 15 . . . . . . . not 3x -3
3x = 15
x = 5
_____
Jeremy did what a lot of students do -- failed to apply the outside factor to all of the terms in parentheses.
Gary’s cat weighs 11 pounds. How many ounces is Gary’s cat?
Answer:
176 ounces :)
Step-by-step explanation:
Select the correct symbol
Answer:
C
Step-by-step explanation:
[tex]\sqrt{33} =5.74...\\\frac{16}{3} =5.33...[/tex]
Answer:
a is the correct answer let me know
A jar mung beans and lima beans in a ratio of 2 : 3, and 120 of the beans are mung beans. How many beans in total are there in the jar?
Answer:
300
Step-by-step explanation:
2 : 3
120/2=60
1 part = 60
(60 x 2) + (60 x 3) = 300 total
There is a total of 300 beans in the jar mung.
What is the ratio of two quantities?Suppose that we've got two quantities with measurements as 'a' and 'b'
Then, their ratio(ratio of a to b) a:b Remember that the ratio should always be taken of quantities with the same unit of measurement. Also, the ratio is a unitless(no units) quantity.
We have been given a jar of mung beans and lima beans in a ratio of 2 : 3, and 120 of the beans are mung beans.
So, 2 : 3
1 part, 120/2 = 60
The total beans in the jar,
(60 x 2) + (60 x 3) = 300
Hence, there is total of 300 beans in the jar.
Learn more about ratios here:
brainly.com/question/186659
#SPJ2
a square has an area of 1 square unit what is the length of the square
Answer:
The length is one
Step-by-step explanation:
The formula to find the area of aa square is B*H. This means to solve, you do 1*1, since the base and height are both 1, and 1*1=1
what do you call two math teachers who bowl?
Answer:
69
Step-by-step explanation:
