Answer:
The probability that the mean lead level from the sample of 49 measurements T is less than 15 ppb
P(x⁻< 15) = 0.1587
Step-by-step explanation:
Step(i):-
Given that the size of the sample 'n' =49
Mean of the Population = 17ppb
The standard deviation of the population = 14ppb
Let 'X' be the random variable in a normal distribution
[tex]Z = \frac{x-mean}{\frac{S.D}{\sqrt{n} } } = \frac{15-17}{\frac{14}{\sqrt{49} } } = -1[/tex]
Step(ii):-
The probability that the mean lead level from the sample of 49 measurements T is less than 15 ppb
P(x⁻< 15) = P(Z<-1) = 1-P(Z>-1)
= 1-(0.5+A(-1))
= 0.5 - A(1)
= 0.5-0.3413
= 0.1587
Final answer:-
The probability that the mean lead level from the sample of 49 measurements T is less than 15 ppb
P(x⁻< 15) = 0.1587
Answer:
0.16
Step-by-step explanation:
y+4x=2 in slope intercept form
Answer: y=-4x+2
Step-by-step explanation: You have to get Y by itself so you subtract 4x from the right and you get -4x+2 with Y by itself
What is logic? Briefly explain how logic can be useful.
Choose the correct answer below.
A.
Logic is the study of the methods and principles of reasoning. It can be useful in providing strong support for conclusions, and to help identify errors in reasoning, or fallacies.
B.
Logic is a set of facts or assumptions used to support a premise. It is useful in quarrels.
C.
Logic is a common fallacy. It is useful in creating other common fallacies.
D.
Logic is a deceptive argument. It is useful in marketing products and creating advertisements.
''Logic is the study of the methods and principles of reasoning. It can be useful in providing strong support for conclusions, and to help identify errors in reasoning, or fallacies.''
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
To find the definition of Logic.
Now, We know that;
Logic is the study of correct reasoning. It includes both formal and informal logic. Formal logic is the science of deductively valid inferences or of logical truths.
Hence, We get;
''Logic is the study of the methods and principles of reasoning. It can be useful in providing strong support for conclusions, and to help identify errors in reasoning, or fallacies.''
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m+2=7/n make n the subject
Answer:
[tex]n = \frac{7}{m + 2} [/tex]
Step-by-step explanation:
[tex]m + 2 = \frac{7}{n} [/tex]
To make n as the subject , we need to isolate it.
■ Lets multiply n on both the sides in order to shift n to the L.H.S.
[tex] = > n(m + 2) = \frac{7}{n} \times n[/tex]
[tex] = > n(m + 2) = 7[/tex]
■ Lets now divide (m + 2) on both the sides in order to isolate n in L.H.S
[tex] = > \frac{n(m + 2)}{( m+ 2)} = \frac{7}{(m + 2)} [/tex]
[tex] = > n = \frac{7}{m + 2} [/tex]
40 is 120% of what number
Answer:
If you are using a calculator, simply enter 120×100÷40, which will give you the answer.
Step-by-step explanation:
Strawberries cost $3.00 per pound. For each question, explain or show your
reasoning.
a.
How many pounds of strawberries can you buy for $1.00?
b.
How many pounds of strawberries can you buy for $11.00?
I need help
Step-by-step explanation:
1. its either 0 or 1/4 cause cause each pound is $3 and he had less then that.
2. 3 cause its either u count by 3 till u get to 11 or below it
The answers to both subparts using mathematical operations are shown:
(A) Strawberries at $1.00: 0.33 pounds(B) Strawberries for $11.00: 3.67 poundsWhat are mathematical operations?A mathematical function known as an operation converts zero or more input values into a precisely defined output value. The quantity of operands affects the operation's arity.The order of operations is a rule that outlines the proper steps to take when analyzing a mathematical equation. We can recall the PEMDAS steps in the following order: parentheses, exponents, multiplication, and division (from Left to right), addition, and subtraction (from left to right).(A) Strawberries at $1.00:
1/30.33 poundsStrawberries at $1.00: 0.33 pounds
(B) Strawberries for $11.00:
11/33.67Strawberries at $11.00: 3.67 pounds
Therefore, the answer to both subparts using mathematical operations are shown:
(A) Strawberries at $1.00: 0.33 pounds(B) Strawberries for $11.00: 3.67 poundsKnow more about mathematical operations here:
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3 pounds because strawberries cost $3.00 per pound.What is cost? A cost is the worth of money that has been expended to produce something or provide a service and is therefore no longer available for use in production, research, retail, and accounting. In the case of an acquisition cost, the money spent on the acquisition is considered the cost.What connection exists between price and quality?Regardless matter whether the relationship is positive [higher costs are linked with higher quality] or negative [higher quality is associated with lower costs], the majority of research have concluded that the relationship between cost and quality is minimal to moderate.Given: Cost of Strawberries per pound = $3. 00a. How many pounds of strawberries can you buy for $1.00?Answer: 0 because the cost of per pound strawberries is $3.00So, he can not but any pound at $1.00but he can but 1/4 pound as the cost given b. How many pounds of strawberries can you buy for $11.00?Therefore, 3 pounds because strawberries cost $3.00 per pound.To learn more about : cost calculationRef: https://brainly.com/question/17215284#SPJ2
i giveeeeee brainlilsttt
Answer: H
Step-by-step explanation:
Answer:
12*6=72
Step-by-step explanation:
hope it helps.:-)
find a matrix that result from composing a 90 degree rotation with itself four times; that is, if T is the matrix transformations that rotates vectors by 90 degrees, find the ToToToT. Explain why your result makes sense geometrically.
Answer:
......................
Answer:
Step-by-step explanation:
-4,-2 B
Evaluate f(0) if f(x) = 3x +7
Answer:
[tex]f(0)=7[/tex]
Step-by-step explanation:
[tex]f(0)[/tex] is the value of [tex]f(x)[/tex] when [tex]x=0[/tex]. Therefore, to find [tex]f(0)[/tex], we need to substitute [tex]x=0[/tex] into [tex]f(x)[/tex], or [tex]3x+7[/tex]. Thus, [tex]f(0)=3*0+7=0+7=7[/tex]. Hope this helps!
Solve using substitution.
X = -5
-3x + y = 19
Follow the steps taken by a student to solve the equation below.
1
Solve:
3(x+2)=13-2(x+1)
Step 1:
3r+6=13-2v-2
Step 2:
3r+6=11-2
Step 3:
+6=11
Step 4:
x=15
Which is the first incorrect step in the solution shown above?
Answer:
When the hel.l did x turn into R?
Step-by-step explanation:
its step 2 forogt the variable
I have to solve and round to the nearest tenth
Answer:
approximately 5.6
Step-by-step explanation:
Cross multiply
16a=90
a=5.625
Please answer this correctly without making mistakes
Answer:
7 c 7 fl oz
Step-by-step explanation:
Q3.
Oscar is organising a show.
Visitors to the show choose their seats at random.
There are 350 seats available.
These seats are numbered from 1 to 350
Oscar places a prize under each of the seats numbered 17 to 25
(a) What is the probability that the first visitor chooses a seat with a prize?
The probability that the first visitor chooses a seat with a prize is 0.0229.
What is probability?Probability is the chance of occurrence of a certain event out of the total no. of events that can occur in a given context.
Given, Oscar is organizing a show.
If there is a prize under (25 - 17) + 1 = 9 seats as both 17 and 25 are included and there is a total of 350 chairs,
The probability that the first visitor chooses a seat with a prize is (8/350).
= 4/175.
= 0.0229
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Graph the following equation: y=1/2x-3
Answer:
answer in picture in explanation.
Step-by-step explanation:
On a bicycle, Jacqueline rides for 4 hours and is 26 miles from her house. After riding for 9 hours, she is 56 miles away. What is jacqueline's average rate over the last 5 hours of her trip?
Does anyone have any advice on how to get into advanced 7th grade classes? Including math, English, science, Social studies, etc
Answer: study and be smart
Step-by-step explanation: thats all I got for you
just work hard in your 6th grade classes really, but you should ask your teachers about stuff like this, if they find out you're interested they might put in a good word for you! it worked for me and my biology class :)
Which of the following can be used to describe the rectangle below?
An ordinary rectangle is shown in the picture.
A.
All angles are acute.
B.
Opposite sides are perpendicular.
C.
Opposite sides are parallel.
D.
All sides are the same length.
Answer:
c. opposite sides are parallel.
Step-by-step explanation:
Find the exact length of the third side.
73 55
Answer:
91.4
Step-by-step explanation:
We know that the formula to a right triangle is a^2 + b^2 = c^2
so assume 73 and 55 are both Not the hypotenuse, then
73*73 + 55*55 = c^2
5329 + 3025 = 8354
c = 91.4
Martha goes to the grocery store to buy oranges . Oranges are on sale for $1.25 per pound . How much would 5 pound of oranges cost
Answer:6.25
Step-by-step explanation:1.25x5=6.25
Answer:
$6.25
Step-by-step explanation:
1.25 × 5 = 6.25
hope this helps...
Enter a digit in each box to complete the division problem.
Pls help Im giving braInllest and 100 points
There's no picture.
And the link is invalid.
1.160 is what percentage of 407 2. 40 is 160% of what number? 3. What number is 40% of 160?
What will be the new coordinate of vertex B if the triangle is dilated with a center at the origin by a scale factor of 1/3
You must observe the distances from the center of the dilation at point A to the other points B, C and D. The dilation image will be 1/3 of each of these distances. AB = 6, so A'B' = 2. AD = 9, so A'D' = 3.
Can I get brainllest
HELPPPPPPPPPPPPPPPPPPP
Answer:
(6,0) or just 6
i have 32 lunches i put the lunches in 8 bags with the same number of lunches in each bag. how many lunches are in each bag
Factor this expression: 3x+x^2-10
factored:
(x - 2)(x + 5)
Answer:
(x - 2)(x + 5)
Emily increased the price of carrot cakes at her bakery by 6%. The original price of a carrot cake is represented by x. Which expression represents the price of a carrot cake after the increase?b
Answer:
1.06x
Step-by-step explanation:
The original price of a carrot cake is represented by x.
Emily increased the price of carrot cakes at her bakery by 6%.
We need to find an expression that represents the price of a carrot cake after the increase.
Price = x+6% of x
[tex]=x+\dfrac{6}{100}x\\\\=x+0.06x\\\\=1.06x[/tex]
Hence, the required equation is "1.06x".
Answer:
1.06x
Step-by-step explanation:
If you apply the changes below to the absolute value parent function, f(x) = (x,
what is the equation of the new function?
Shift 4 units left.
Shift 2 units up.
A. g(x) = \x - 41 + 2
B. g(x) = x + 21 - 4
C. g(x) = [X + 4 + 2
D. g(x) = x + 2 + 4
Answer:
C) g(x) = |x+4|+2
The new function g(x) = |x+4|+2
Step-by-step explanation:
Given that the parent function f(x) = |x|
The function shifts '4' units left then the function transformed to
g(x) = |x+4|
Again the function shift '2' units up then the function transformed to
g(x) = |x+4|+2
Final answer:-
The new function g(x) = |x+4|+2
Jared writes a multiplication expression with eight rational factors. Half of the factors are positive and half are negative. Is the product positive or negative? Why?
● Negative; there are three negative factors
● Negative; there are four negative factors
● Positive; there are three negative factors
● Positive; there are four negative factors
Answer:
negative they are 4 negative factors
The product of the expression would be Negative; there are four negative factors.
What is the fundamental principle of multiplication?Multiplication is the mathematical operation that is used to determine the product of two or more numbers. If an event can occur in m different ways and if following it, a second event can occur in n different ways, then the two events in succession can occur in m × n different ways.
We have a multiplication expression with eight rational factors.
It is given that Half of the factors are positive and half are negative.
For an integer, the factor is the decomposition of that integer in terms of smaller integers; when multiplied with each other gives back that considered number. Those composing integers are known as factors that considered integers.
The product of the expression would be Negative; there are four negative factors.
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Answer to get the most points all multiples of 2,3,4 and 5
Answer:
Step-by-step explanation:
1: 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10....
2: 2, 4, 6, 8, 10....
3: 3, 6, 9, 12, 15, 18, 21, 24, 27....
4: 4, 8, 12, 16, 20, 24, 28, 30....
5: 5, 10, 15, 20, 25, 30, 35 40, 45...
How many judges should be selected to estimate the population mean wage with 90% confidence and a margin of error of $2.00
Answer:
The number of judges that should be selected is 25
Step-by-step explanation:
Given that:
The C.I = 90%
Level of significance = 1 - C.I
= 1 - 0.90
= 0.10
Critical level for [tex]Z_{\alpha/2}[/tex] at 0.10 = 1.645
The margin of error E = 2.00
Let's assume that the sample standard deviation was $6.11
Then;
The number of judges that should be selected can be computed by using the formula:
[tex]E = Z_{\alpha/2} \times \dfrac{s}{\sqrt{n}}[/tex]
[tex]2 = 1.645 \times \dfrac{6.11}{\sqrt{n}}[/tex]
[tex]2\sqrt{n} = 10.05095[/tex]
[tex]\sqrt{n} = \dfrac{10.05095}{2}[/tex]
[tex]\sqrt{n} =5.026[/tex]
[tex]n=(5.026)^2[/tex]
n = 25.26
n ≅ 25
