Answer:
0.40166
Step-by-step explanation:
When given random number of samples, we solve using the z score formula:
z = (x-μ)/σ/√n where
x is the raw score= 161
μ is the population mean = 162.4
σ is the population standard deviation = 15.9
n is random number of samples = 8
Hence,
z = 161 - 162.4/15.9/√8
z = -0.24904
Probability value from Z-Table:
P(x<161) = 0.40166
The probability that the mean of 8 randomly selected scores is less than 161 is 0.40166
ahem wrote 2 numbers the first numbwr has a 7 in its tenths place the second number has a 7 with a value of 1000 times grater than the value of the 7 in the 7 in the first number in witch place is the 7 in the second number
hundreds
tens
hundred thousands
thousands
36^(-2x+1)=216 solve for x PLZZZZZZ!!!!!
(6)^2(-2x+1)=(6)³
evaluating the power of both sides as having same base (6)
2-4x=3
2-3=4x
x=-0.25
The solution of the expression for the value of x is -0.25.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that the expression is [tex]36^{(-2x+1)}=216[/tex]
The expression can be written as:-
[tex](6)^{(2)(-2x+1)}=(6)^3[/tex]
Evaluating the power of both sides as having the same base (6)
2-4x = 3
2-3 = 4x
x = -0.25
Hence, the value of x is -0.25.
To know more about an expression follow
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6 − 3.98 what is the answerrrrr
Answer:
2.02
Step-by-step explanation:
also you can do these on just a calculator :D
13) (-2. – 5v).- (-4v – 2)
Can you help a girl out
Answer:
If simplifed, it'll be -v
Step-by-step explanation:
can you put your tongue in a not??
Answer:
No, it is physically impossible to put your tongue in a knot.
Step-by-step explanation:
i need help idk how to solve this plz help. y - 2= 7/3 (x-(-2))
Im sure it's -3 Because well thats what i got
Ben needs to buy an equal number of sunglasses and beach balls to place in gift bags. Each pair of sunglasses costs $4 and each beach ball costs $2.50. If he has $45 to spend on the sunglasses and beach balls, then the inequality 4x + 2.5x greater than or equal to 45 can be used to find the number of each item he can buy. How much money will he have left after buying the greatest number of sunglasses and beach balls?
$0.09 will he have left after buying the greatest number of sunglasses and beach balls.
What is Inequality?Mathematical expressions with inequalities are those in which the two sides are not equal. Contrary to equations, we compare two values in inequality. Less than (or less than or equal to), greater than (or greater than or equal to), or not equal to signs are used in place of the equal sign.
Given:
Model Inequality: 4x + 2.5x ≥ 45.
Now, solving for inequality
4x + 2.5x ≥ 45.
(4 + 2.5)x ≥ 45
6.5x ≥ 45
x ≥ 45/ 6.5
x≥ 6.92
x≥ 7 (approx)
So, the max price for sunglasses and beach balls = 4(6.92)+ 2.5(6.92)
= $44.91
Thus, the left money is = 45- 44.91 = $ 0.09
Learn more about inequality here:
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what is 20 percent of 90?
Answer:
18
Step-by-step explanation:
negation "If it rains then I take an umbrella."
Determine the angle measure.
Answer:
the measurement is 30 degrees
I need help can you help me
Answer:
2 : 3
Step-by-step explanation:
BRAINLIEST PLEASE
the two pictures are the questions and question five is what i need help with.
Answer:yes they do
Step-by-step explanation:
If EG=71 , find the value of x
Answer:
A
Step-by-step explanation:
A = 71 so then EG = 91
Laura needed an electrician to provide electrical repairs in her kitchen. The electrician will charge Laura x dollars per hour for a 5-hour job and $20 for electrical parts, and also $50 for a new ceiling fan. Write an algebraic expression in simplest form to determine how much the electrician will charge Laura.
Give the expression and answer please
Answer:
The answer is 50x + 70
Step-by-step explanation:
I am happy to help. An expression has no equal sign. We don't know how much the electrician will charge Laura. But we do know how much hours the job is. Laura also has to pay for the electrical parts that are 20 dollars and 50 dollars for a new ceiling fan. This is an additional cost. In all, the expression would be 50x + 70, if it is simplified. You would add like terms, such as 20 and 50 to get 70.
Sonia saw a school play that was 2.15 hours long. How many minutes long was the play?
129.00 minutes
120.15 minutes
27.90 minutes
62.15 minutes
Answer:
Answer 120.15 minutes long
Step-by-step explanation:
Answer:
129.00m
Step-by-step explanation:
1h=60m
2.15=x
2.15h×60m=1h×x
129m×h=1h×x divided both side by 1h
129m=x
Here is an expression: 4 ∙ 3ˢ Evaluate the expression when s is 1.
Help 25 points !!!!!!!!!!!
Answer:
1 -> 12s
Step-by-step explanation:
Answer:
12
Step-by-step explanation:
Determine if the graph shows two quantities that vary directly. If possible, determine the constant of proportionality using the formula K = y/x
Answer:
Option C is correct option.
Step-by-step explanation:
We need to find k constant of proportionality
In the graph below let us take the values of x and y
x=150 , y=50
x=300, y=100
x=450, y=150
Now finding k using the formula: [tex]k=\frac{y}{x}[/tex]
Putting values of x and y to find k
For x=150 , y=50 k = 50/150, k =1/3
For x=300, y=100 , k=100/300 , k=1/3
For x=450, y=150, k= 150/450 , k=1/3
Since for values of x and y, k = 1/3 is constant so, the graph shows two quantities that vary directly.
So, Option C is correct option.
A line has a slope of 6 and includes the points (n,1) and (8,5). What is the value of n?
Answer:
The value of n:
[tex]n=\frac{22}{3}[/tex]Step-by-step explanation:
Given that the line has slope 6.
i.e. m = 6
The line includes the points
(n, 1)(8, 5)Using the formula to find the slope of the points
[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]\left(x_1,\:y_1\right)=\left(n,\:1\right),\:\left(x_2,\:y_2\right)=\left(8,\:5\right)[/tex]
[tex]m=\frac{4}{8-n}[/tex]
as
m = 6
substituting m = 6
[tex]6=\frac{4}{8-n}[/tex]
[tex]6\left(8-n\right)=4[/tex]
Divide both sides by 6
[tex]\frac{6\left(8-n\right)}{6}=\frac{4}{6}[/tex]
[tex]8-n=\frac{2}{3}[/tex]
subtract 8 from both sides
[tex]8-n-8=\frac{2}{3}-8[/tex]
simplify
[tex]-n=-\frac{22}{3}[/tex]
Divide both sides by -1
[tex]\frac{-n}{-1}=\frac{-\frac{22}{3}}{-1}[/tex]
[tex]n=\frac{22}{3}[/tex]
Therefore, the value of n:
[tex]n=\frac{22}{3}[/tex]7. There are 19 red marbles for every black marble. If there are 120 marbles in the bag, how many red marbles are there? Explain or show your reasoning.
Answer:
114 marbles.
Step-by-step explanation:
Let the number of red marbles be r
Let the number of black marbles be b
Given the following data;
Total number of marbles = 120
Translating the word problem into an algebraic equation, we have;
[tex] r = 19b[/tex] .......equation 1
[tex] r + b = 120[/tex] ........equation 2
Substituting the value of "r" into equation 2, we have;
[tex] 19b + b = 120[/tex]
[tex] 20b = 120[/tex]
[tex] b = \frac {120}{20}[/tex]
b = 6 marbles.
To find the number of red marbles;
From equation 1;
[tex] r = 19b[/tex]
Substituting the value of "b" into equation 1, we have;
[tex] r = 19*6[/tex]
r = 114 marbles.
Therefore, there are 114 red marbles in the bag.
Write 0.09 repeating as a fraction.
Answer:
0.09=9\100
Step-by-step explanation:
!!!HELP !!! Plis
The blue dot is at what value on the number line?
Answer:
-6
Step-by-step explanation:
Answer:
-6
Step-by-step explanation:
if you count from -3, itll be at -6.
Pls help will give brainlist
Can anyone help me out? That would be greatly appreciated!
B. SAS
Pretty much the way I look at it, there is one angle, and 2 sides beside it. Easiest way for me to explain.
Answer:
im not really sure but i believe the answer is B.SAS.
i also know It Not C.HS and D. non of the above.
3 (x – 4) = 2x + 6
solve for x
Answer:
Step-by-step explanation:
3 (x – 4) = 2x + 6 Remove the brackets
3x - 12 = 2x + 6 Add 12 to both sides.
3x - 12 + 12 = 2x + 6 + 12 Combine
3x = 2x + 18 Subtract 2x from both sides
3x-2x = 2x-2x + 18 Combine
x = 18
If x2 = 10, what is the value of x?
Answer:
The value of x is 5
Step-by-step explanation:
5 x 2 = 10
x= ±[tex]\sqrt{10} =[/tex] ± 3.1623
simplifyied~x = 5
The population of a town is 8,000, and it grows at a rate of 4.6% per year. What will the population be in 10 years?
Answer:
11680
Step-by-step explanation:
4.6% of 8000 is 368
368 x 10 = 3680
3680 + 8000= 11680
Write an equivalent expression for 2(3x + 5).
Answer:
I suggest that you use Socratic to solve this.
Step-by-step explanation:
[tex]\huge\text{Hey there!}[/tex]
[tex]\huge\textbf{This equation requires us to do}\\\huge\textbf{distributive property.}[/tex]
[tex]\huge\textbf{If you're unsure what the}\\\huge\textbf{distributive property formula is,}\\\huge\textbf{it is: }[/tex]
[tex]\large\textbf{a(b + c)}[/tex]
[tex]\large\textbf{= a(b) + a(c)}[/tex]
[tex]\large\textbf{= ab + ac}[/tex]
[tex]\huge\textbf{Now, that we have that information}\\\huge\textbf{out of the way, we can find the}\\\huge\textbf{result of your given equation.}[/tex]
[tex]\huge\textbf{Your equation that you provided:}[/tex]
[tex]\large\textbf{2(3x + 5)}[/tex]
[tex]\large\textbf{= 2(3x) + 2(5)}[/tex]
[tex]\large\textbf{= 6x + 10}[/tex]
[tex]\huge\textbf{Do you see how interesting it was to}\\\huge\textbf{find the result to the question? }\huge\boxed{:)}[/tex]
[tex]\huge\textbf{Anyway! Let's label our result since}\\\huge\textbf{we found it already while working it out.}[/tex]
[tex]\huge\textbf{Thus, your answer should be: \boxed{\mathsf{6x + 10}}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjo your day!}[/tex]
~[tex]\huge\boxed{\frak{Amphitrite1040:)}}[/tex]Solve for X
3= x/3.3 x=
Write the number below in expanded notation 75,966
6. When you find the unit rate of an item you are finding the cost of ____.
Answer:
kkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkk
Step-by-step explanation: