Answer:
A square number or perfect square is an integer that is the square of an integer; in other words, it is the product of some integer with itself. For example, 9 is a square number, since it can be written as 3 ×3
HOPE IT WILL HELP U!!!!!!
Show all your work. Indicate clearly the methods you use, because you will be scored on the correctness of your methods as well as on the accuracy and completeness of your results and explanations. The distribution of pH levels for all community swimming pools in a large county is approximately normal with mean 7.5 and standard deviation 0.2. According to swimming pool studies, the safest pH levels for water in swimming pools are between 7.2 and 7.8. (a) One community swimming pool in the county will be selected at random. What is the probability that the selected pool has a pH level that is not considered safe
Answer:
The value is [tex]P(A) = 0.133617[/tex]
Step-by-step explanation:
From the question we are told that
The mean is [tex]\mu = 7.5[/tex]
The standard deviation is [tex]\sigma = 0.2[/tex]
The safest water level is between 7.2 and 7.8
Generally the probability that the selected pool has a pH level that is not considered safe is mathematically represented as
[tex]P(A) = 1 - P(7.2 \le X \le 7.8 )[/tex]
Here
[tex]P(7.2 < X < 7.8 ) = P(\frac{ 7.2 - \mu }{\sigma } < \frac{X - \mu }{ \sigma } <\frac{ 7.8 - \mu }{\sigma } )[/tex]
Generally [tex]\frac{X - \mu }{ \sigma } = Z (The \ standardized \ value \ of X )[/tex]
So
[tex]P(7.2 < X < 7.8 ) = P(\frac{ 7.2 - 7.5 }{0.2 } < Z <\frac{ 7.8 - 7.5 }{0.2 } )[/tex]
[tex]P(7.2 < X < 7.8 ) = P(-1.5 < Z <1.5)[/tex]
=> [tex]P(7.2 < X < 7.8 ) = P(Z < 1.5) - P( Z < - 1.5) [/tex]
From the z-table the probability of (Z < -1.5) and ( Z <1.5) are
[tex]P(Z < 1.5) = 0.93319[/tex]
and
[tex]P(Z < -1.5) = 0.066807[/tex]
So
[tex]P(7.2 < X < 7.8 ) =0.93319 - 0.066807 [/tex]
[tex]P(7.2 < X < 7.8 ) =0.0866383[/tex]
So
[tex]P(A) = 1 - 0.0866383[/tex]
=> [tex]P(A) = 0.133617[/tex]
The probability that the selected pool has a pH level that is not considered safe pool is 0.1336
The given parameters are:
[tex]\mathbf{\mu = 7.5}[/tex]
[tex]\mathbf{\sigma = 0.2}[/tex]
Start by calculating the probability that a pool is safe.
This is represented as: P(7.2 < x < 7.8)
Calculate the z-scores for x =7.2 and 7.8 using:
[tex]\mathbf{z = \frac{x - \mu}{\sigma}}[/tex]
So, we have:
[tex]\mathbf{z = \frac{7.2 - 7.5}{0.2} = -1.5}[/tex]
[tex]\mathbf{z = \frac{7.8 - 7.5}{0.2} = 1.5}[/tex]
So, we have:
[tex]\mathbf{P(7.2 < x < 7.8) = P(-1.5 < z < 1.5)}[/tex]
This gives
[tex]\mathbf{P(7.2 < x < 7.8) = P(z < 1.5) - P(z < -1.5)}[/tex]
Using z table of probabilities, we have:
[tex]\mathbf{P(7.2 < x < 7.8) =0.9332 - 0.0668}[/tex]
[tex]\mathbf{P(7.2 < x < 7.8) =0.8664}[/tex]
The probability that the pool is not safe is calculated using the following complement formula
[tex]\mathbf{P(Not\ Safe) = 1 - P(Safe)}[/tex]
So, we have:
[tex]\mathbf{P(Not\ Safe) = 1 -0.8664}[/tex]
[tex]\mathbf{P(Not\ Safe) = 0.1336}[/tex]
Hence, the probability that the pool is not safe is 0.1336
Read more about probabilities at:
https://brainly.com/question/11234923
HELP HELP HELP HELP HELP HELP HELP HELP HELP HELP HELP ASAP ASAP ASAP ASAP ASAP ASAP ASAP ASAP ASAP ASAP ASAP ASAP ASAP ASAP ASAP ASAP HELP
Answer:
Confusing! Where r the instructions?
Step-by-step explanation:
- 6 = 0.75 ( r - 12 )
what is r
Answer:
r=4
Step-by-step explanation:
-6=0.75(r-12)
-6= 0.75r-9
3=0.75r
r=4
I don't believe I was shown how to complete this
Which symbol does a formula start with? = % + ^
Answer:=================================================
Step-by-step explanation:
the first one
Answer:
========================================================================================================================================
Step-by-step explanation:
it's the equal sign
Please help!
A painter earns $15 per hour. What is the minimum number of hours he must work to earn at least $200? Write an inequality to represent this situation and solve. Show your work.
3x +2 = 9x + 20 for x
Answer:
Use a calculator solved :)))
Step-by-step explanation:
Answer:
x=-3
Step-by-step explanation:
3x+2=9x+20
3x-9x=20-2
-6x=18
X=-3
Electrical Resistance The electrical resistance R of a wire varies inversely with the square of its diameter d. If a 25-foot wire with a diameter of 2 millimeters has a resistance of 0.5 ohm, find the resistance of a wire having the same length and a diameter of 3 millimeters.
Answer:
The answer is below
Step-by-step explanation:
The electrical resistance R of a wire varies inversely with the square of its diameter d:
R ∝ 1 / d
Let k represent the constant of proportionality, hence we can represent the statement as an equation:
[tex]R=\frac{k}{d^2}\\ \\when\ R=0.5 \Omega,d=2\ mm\\\\0.5=\frac{k}{2^2} \\\\k=2\\\\The\ equation\ becomes :\\\\R=\frac{2}{d^2}\\ \\When\ d=3, we\ find\ R\\\\R=\frac{2}{3^2} \\\\R=0.22\ \Omega[/tex]
The fence requires a post every 3 ft, and the fence is to be 30 feet long, how many posts are needed?
3. Determine if the graph below is a function.
Explain your reasoning.
Answer:
A function defines one variable in terms of another. The statement "y is a function of x" (denoted y = y(x)) means that y varies according to whatever value x takes on. A causal relationship is often implied (i.e. "x causes y"), but does not *necessarily* exist.
Step-by-step explanation:
Your teacher invented another game: You will pick one card from a deck of cards. If
you pick a heart, you will win $25.00. Otherwise, you will lose $5.00.
From the standpoint of the player, what is the expected value of this game?
Enter expected value
What does the expected value tell us about the game?
O The game is good to play, you will make money on average.
O The game is NOT good to play, you will tend to lose money.
O It doesn't matter if you play, you will generally break even.
Answer:
C
Step-by-step explanation:
−2(−1 1/4) Multiply. Write your answer as a fraction in simplest form.
Answer:
I want to say 2.5
Step-by-step explanation:
7th grade math help me plzzzz
Answer:
a) -16
b)7
c) -4
d) 9
Step-by-step explanation:
by solving
Which shows the image of triangle WXY after the transformation R0, –90°(x, y)?
On a coordinate plane, 2 triangles are shown. The first triangle has points W (negative 4, negative 1), Y (negative 2, negative 1), X (negative 4, negative 4). The second triangle has points Y prime (2, negative 1), W prime (4, negative 1), X prime (4, negative 4).
On a coordinate plane, 2 triangles are shown. The first triangle has points W (negative 4, negative 1), Y (negative 2, negative 1), X (negative 4, negative 4). The second triangle has points Y prime (negative 4, 4), W prime (negative 4, 2), X prime (negative 1, 2).
On a coordinate plane, 2 triangles are shown. The first triangle has points W (negative 4, negative 1), Y (negative 2, negative 1), X (negative 4, negative 4). The second triangle has points Y prime (negative 1, 2), W prime (negative 1, 4), X prime (negative 4, 4).
On a coordinate plane, 2 triangles are shown. The first triangle has points W (negative 4, negative 1), Y (negative 2, negative 1), X (negative 4, negative 4). The second triangle has points Y prime (5, negative 3), W prime (5, negative 1), X prime (2, negative 1).
Answer:
Option C: The third graph
Step-by-step explanation:
Edge2020
Answer:
c
Step-by-step explanation:
on edge 2022
PLEASE HELP WILL GIVE BRAINLIEST AND 20 POINTS!
what is the rate of change of
0.860, 3.302
y/4 =12.5
What is Y?
URGENT! NEEDED NOW!
Answer:
y = 50
Step-by-step explanation:
Isolate the variable, y. Note the equal sign, what you do to one side, you do to the other.
Multiply 4 to both sides of the equation:
y/4 = 12.5
(y/4)(4) = (12.5)(4)
y = 12.5 * 4
y = 50
y = 50 is your answer.
~
find the first 3 powers of 7
Answer:
7, 49, 343
Step-by-step explanation:
Just do it
Please help thanks so much for your time !:).
Question 2
2 pts
Two out of every five people who buy ice cream buys vanilla ice cream. If a store sells
65 ice cream cones in one day, about how many will be vanilla?
Question 3
2 pts
Answer:
26
Step-by-step explanation:
Given that :
2 out of every 5 people buys vanilla ice cream;
If Total number of ice cream sold in a day = 65 ; how many will be vanilla ;
Probability of purchasing vanilla ; p(vanilla) = 2/5 = 0.4
Hence, expected number who bought vanilla :
p(vanilla) * total number of icecream sold
0.4 * 65 = 26
Hence, about 26 of the 65 icecream sold are vanilla flavor.
Write an equation in slope-intercept form for the line with slope 2/5 and y-intercept -6 .
Answer:
[tex] y = \frac{2}{3}x - 6 [/tex]
Step-by-step explanation:
Recall that the the equation of a line in slope-intercept form is given as [tex] y = mx + b [/tex].
m = the slope of the line
b = the y-intercept. This is the point at which the line intercepts the y-axis.
We are given:
slope (m) = ⅖
y-intercept (b) = -6
All you need to do to get an equation of the line is to simply substitute m = ⅔ and b = -6 into [tex] y = mx + b [/tex].
[tex] y = \frac{2}{3}x + (-6) [/tex]
[tex] y = \frac{2}{3}x - 6 [/tex]
The equation for the line is .[tex] y = \frac{2}{3}x - 6 [/tex]
Tell whether the given number is a solution of each question. ( Must show work for credit)
1. 9 = 2a + 3; 3
2. 5n - (-30) = 5; 7
3. 4.4r - 2.8 = 1.6; 1
Answer/Step-by-step explanation:
1. [tex] 9 = 2a + 3 [/tex] ; 3
Let's solve for a.
[tex] 9 - 3 = 2a [/tex] (subtraction property of equality)
[tex] 6 = 2a [/tex]
[tex] \frac{6}{2} = a [/tex] (division property of equality)
[tex] 3 = a [/tex]
[tex] a = 3 [/tex]
Therefore, 3 is a solution to 9 = 2a + 3
2. [tex] 5n - (-30) = 5 [/tex] ; 7
[tex] 5n + 30 = 5 [/tex] (- × - = +)
[tex] 5n = 5 - 30 [/tex] (Subtraction property of equality)
[tex] 5n = -25 [/tex]
[tex] \frac{5n}{5} = \frac{-25}{5} [/tex] (division property of equality)
[tex] n = -5 [/tex]
Therefore, 7 is not a solution of [tex] 5n - (-30) = 5 [/tex]
3. [tex] 4.4r - 2.8 = 1.6 [/tex] ; 1
[tex] 4.4r = 1.6 + 2.8 [/tex]
[tex] 4.4r = 4.4 [/tex]
[tex] \frac{4.4r}{4.4} = \frac{4.4}{4.4} [/tex]
[tex] r = 1 [/tex]
Therefore, 1 is a solution of [tex] 4.4r - 2.8 = 1.6 [/tex].
Kira is making ribbon bracelets.
She makes 4 bracelets on Thursday and 3 bracelets on Friday.
She uses 56 yards of ribbon for each bracelet.
Part A
Which of the following equations can Kira use to find how much ribbon she used?
Select all that apply.
A. (4×56)+(3×56)=r
B. 56×(4+3)=r
C. (4+56)+(3+56)=r
D. (4×56)×(3×56)=r
E. (7×56)=r
Part B
How much ribbon did Kira use to make the bracelets?
Kira used
Choose...
yards of ribbon.
Answer:
A. (4x56)+(3x56)=r
B. 56x(4+3)=r
E. (7x56)=r
Step-by-step explanation:
Kira used 392 yards of ribbon.
Find the product. Enter your answer in the box.
2.4 x0.87
Answer:2.088
Step-by-step explanation:
2.088
Which ratio is equivalent to 5:9?
9:45
25.81
27:15
30:54
Answer: 30:54
Step-by-step explanation:
5 X 6 =30
9 X 6 =54
For example: If you multiply the other ones say the first one, 9 X 5 =45 but 5 X 5=9 so that doesn't work.
Write the following as an inequality. 9 is greater than x, and 3 is less than x Use x only once in your inequality. also please understand that two people need to answer the question for me to give brainiest, and yes once two people answer I will choose brainliest for whoever is correct
Answer:
9>x>3
Step-by-step explanation:
the open side always faces the greater value
Ryan buys 5 tickets for the school play, Each ticket costs $8.
How much does Ryan spend in all?
Answer:
$40
Step-by-step explanation:
1=8
5x8=40
Answer:
40 shillings.
Step-by-step explanation:
If 1 ticket=8 shillings, what about 5 tickets?
8 shillings multiplied by 5 it will be 40 shillings.
Xis normally distributed with mean 1,000 and standard deviation 250. What is the probability that X lies between 800 and 1, 100?
Answer:
0.4435
Step-by-step explanation:
Given that :
X is normally distributed:
mean(m) = 1,000
standard deviation (s) = 250
probability that X lies between 800 and 1,100?
Using the relation :
X = 800
Zscore = (x - m) / s
Zscore = (800 - 1000) / 250
Zscore = - 200 / 250
Zscore = - 0.8
P(Z ≤ - 0.8) = 0.2119
X = 1100
Zscore = (x - m) / s
Zscore = (1100 - 1000) / 250
Zscore = 100 / 250
Zscore = 0.4
P(Z ≤ 0.4) = 0.6554
P(Z ≤ 0.4) - P(Z ≤ - 0.8)
0.6554 - 0.2119
= 0.4435
936,292 round to the nearest ten thousand
Answer:
940,000
Step-by-step explanation:
Since there is a 6 in 936,292, that gives you the right to make the ten thousandth higher if that makes sense
Maggie makes blankets to sell. The table shows Maggie’s expense, f(x), her revenue, g(x), and her profit, h(x), per unit of yarn used, x.
Which expresses h(x) as a combined function?
h(x) =
x + f(x)
(f+g)(x)
(f-g)(x)
(g-f)(x)
Answer:
(g-f)(x)
Step-by-step explanation:
You have to subtract expenses from revenue and multiply by yarn to equal profit
Dale has three dollars more than twice the amount of money that Leo has.
Which statement makes this comparison using the correct variable expression?
A. If Leo has d dollars then Dale has 2(3) + D dollars.
B. If Leo has d dollars then Dale has 2d + 3 dollars.
C. If Leo has d dollars then Dale has d +2+3 dollars.
D. If Leo has d dollars then Dale has d/2 + 3 dollars.
Please help y'all I don't get this can you guys explain to?
Answer:
is leo has d dollars then dale has 2d + 3 dollars
Step-by-step explanation:
dale has twice the amount and three extra dollars.
so 2 x d is 2d
2d + 3
