58% of pop songs have lengths between three and four minutes
Z score is used to determine by how many standard deviations the raw score is above or below the mean. It is given by:
[tex]z=\frac{x-\mu}{\sigma} \\\\where\ x=raw\ score, \mu=mean,\sigma=standard \ deviation\\\\Given\ that:\\\\\mu=215,\sigma=38.\\\\For\ x=3\ min(180\ sec):\\\\z=\frac{180-215}{38}=-0.92\\\\For\ x=4\ min(240\ sec):\\\\z=\frac{240-215}{38}=0.71[/tex]
From the normal distribution table, P(180 < x < 240) = P(-0.92 < z < 0.71) = P(z < 0.71) - P(z < -0.92) = 0.7611 - 0.1788 = 0.5823 = 58%
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A local hamburger shop sold a combined total of 387 hamburgers and cheeseburgers on Thursday. There were 63 fewer cheeseburgers sold than hamburgers. How many hamburgers were sold on Thursday?
Answer:
350 hamburgers
Step-by-step explanation:
Let x = the number of hamburgers sold
Let x - 53 = the number of cheeseburgers sold
x + x - 53 = 647
2x = 700
x = 350 hamburgers
Rationalize the denominator and simplify the following expression:
fraction numerator 4 plus square root of 2 over denominator 2 space minus square root of 2 end fraction
let's recall that the conjugate of say a + b is simply the same thing with a different sign in between, namely a - b, so let's use the conjugate of the denominator and multiply top and bottom by it.
[tex]\textit{difference of squares} \\\\ (a-b)(a+b) = a^2-b^2 \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \cfrac{4+\sqrt{2}}{2-\sqrt{2}}\cdot \cfrac{2+\sqrt{2}}{2+\sqrt{2}}\implies \cfrac{(4+\sqrt{2})(2+\sqrt{2})}{\underset{\textit{difference of squares}}{(2-\sqrt{2})(2+\sqrt{2})}}\implies \cfrac{(4+\sqrt{2})(2+\sqrt{2})}{2^2-(\sqrt{2})^2}[/tex]
[tex]\cfrac{8+4\sqrt{2}+2\sqrt{2}+(\sqrt{2})^2}{4-2}\implies \cfrac{8+4\sqrt{2}+2\sqrt{2}+2}{2}\implies \cfrac{10+6\sqrt{2}}{2} \\\\\\ \cfrac{~~\begin{matrix} 2 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~(5+3\sqrt{2})}{~~\begin{matrix} 2 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}\implies \boxed{5+3\sqrt{2}}[/tex]
Add and simplify. 2 3\8 + 9 1\8 =
Answer:
11 1/2
Step-by-step explanation:
So we fist should add 9 and 2 which is 11 then we should add 3/8 and 1/8 which is 4/8, which is equal to 1/2. So the answer is 11 1/2
A housepainter mixed 5 gal of blue paint with every 9 gal of yellow paint in order to make a
green paint. Which ratio of gallons of blue paint to gallons of yellow paint will make the same
shade of green paint?
I think any of these would work
10;18
15;28
20;35
Answer:
5:9
Step-by-step explanation:
To Find:
ratio of yellow paint to blue paint to make a particular shade of green.
Solution:
The ratio can be written as 5 to 9, or 5:9
We know that if we mix 5 gallons of blue paint with 9 gallons of yellow paint we get the particular shade of green that we want.
Then the ratio of gallons of blue paint to gallons of yellow paint is 5 to 9, or 5:9
Meaning that for every 5 gallons of blue paint we need 9 of yellow paint.
i dont know this question i will give you brainly
Answer:
11z/4+3/10
Step-by-step explanation:
Distribute first then combine like terms.
HELP FAST!
Is it possible to form a triangle with side lengths 3.5, 3.5, and 9? If so, will it be scalene, isosceles, or equilateral?
Answer:
Step-by-step explanation:
There is an inequality for a triangle with sides a; b; c that must always hold :a+b>cb+c>aa+c>b Using this , let 's check if there is a triangle with sides 3,5 ; 3,5 ; 93,5+3,5<9 From what we can conclude that such a triangle does not existAnd what is said in the problem is that it is possible to make an isosceles or equilateral out of it , it is said the other way around to get it . In fact, this triangle will not exist
?
Which is the simplified form of n -6p3?
OPTION C
if any doubt leave a comment
Step-by-step explanation:
remember, a negative exponent means 1/...
like 5^-3 = 1/5³
once you understand this, it is totally easy to find the right answer : the third option p³/n⁶
because n has a negative exponent, p has a positive one.
Joe is a photographer . For every 15 rolls of film he shoots, 10 are black and white. If Joe uses 57 rolls of film, how many rolls are in black and white?
Answer:
38 black and white rolls.
Step-by-step explanation:
15 rolls = 10 black and white
57 rolls = 57 divided by 15 multiplied by 10
57 rolls = 3.8 x 10 Leaving 38 Therefore there will be a total of 38 black and white rolls.
What is the principal amount if the interest rate is 3.5% a year and the amount of interest is 183.75 for 21 months?
The principal amount if the interest rate is 3.5% a year is equal to $3000.
Given the following data:
Interest rate = 3.5%Simple interest = $183.75Time = 21 monthsConversion:
12 months = 1 year
21 months = 1.75 year
To calculate the principal amount if the interest rate is 3.5% a year:
Mathematically, simple interest is given by the formula:
[tex]S.I = \frac{PRT}{100}[/tex]
Where:
S.I is the simple interest.P is the principal amount.R is the interest rate.T is the time measured in years.Making P the subject of formula, we have:
[tex]P = \frac{100S.I}{RT}[/tex]
Substituting the given parameters into the formula, we have;
[tex]P = \frac{100 \times 183.75}{3.5 \times 1.75}\\\\P = \frac{18375}{6.125}[/tex]
Principal amount, P = $3000
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what is the trend of the graph of the equation y = 3x + 10
Answer:
3x+y-10
Step-by-step explanation:
please Mark my answer in brainlist
Complete the table below by finding the unknown principal P, rater, time t, and interest /.
Principal P
(a)
480,000
250,000
980,000
Rate r
6%
(b)
5.5%
0.8%
Time t
10
15
(c)
3.5
Interest /
9,000
180,000
68,750
(d)
12
Answer:
use these formulas to solve
Step-by-step explanation:
Principal( P) = interest / rate x time
Rate (R) = intrest / principal x time
Intrest (I) = PRT
Hi! ❤️ , im looking for some (accurate) help here.
ill give brainliest if able to.
Answer:
A
Step-by-step explanation:
70000 is 100 times greater than 700
Jay buys 60 square feet of tile for $324. Later, he buys another 20 square feet of tile. How much does the extra tile cost?
Determine whether each situation represents a discrete or continuous function.
a. The function y = 30.48x converts length from x feet to y centimeters. [ A. discrete , B. continuous ]
b. The function y = 3x + 2 represents the amount of water y in gallons in a tank after x minutes.
[ A. discrete ,B. continuous ]
Answer:
Both of those are continuous
Step-by-step explanation:
A discrete function is only defined for a specified countable set of x, neither of the two provided fit that description. On the other hand, both are defined for arbitrary positive real numbers.
The value of both functions is defined for a continuous interval of x thus both will be continuous.
What is a function?A certain kind of relationship called a function binds inputs to essentially one output.
The nature of the relationship defines the function for example y = sinx and y = x +6 like that.
Given the first function →
y = 30.48x where x is feet and y is a centimeter of conversion.
Now, it is known that for every foot interval there will be a centimeter that exists therefore they will be defined for all continuous intervals of x so it will be continuous.
The second function →
y = 3x + 2 where x is minutes and y is the number of gallons in a tank.
Now since for every minute of the interval, there will be a certain amount of gallons in the tank so it will be also continuous.
Hence "The value of both functions is defined for a continuous interval of x thus both will be continuous".
For more about the function,
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Question Number 12, i need help!! It’s geometry.
pick a number, any number.
If it's even, divides it by 2. If it's odd, multiply it by 3 and add 1. Now repeat those steps again with your new number. Eventually, if you keep going, you'll eventually end up at 1 every single time
(please help me)
Answer: 1
Step-by-step explanation:
1 x 3 + 1=4
4/2=2
2/2=1
the same thing happens again,
1 x 3 +1=4
4/2=2
2/2=1
therefore the number is 1 when I first started
Answer: If this is a True or False Question the Answer is False
Step-by-step explanation:
Why? because if you pick -1 (negative one) the answer will always be negative.
3. (a) Find the greatest common divisor of 34 and 89 using the Euclidean algo rithm.
(b) Express gcd (34, 89) as a linear combination of 34 and 89.
(c) Find an inverse of 34 modulo 89.
(d) Solve the linear congruence 34x = 53(mod 89).
a. We have GCD(34, 89) = 1; using the Euclidean algorithm,
89 = 2•34 + 21
34 = 1•21 + 13
21 = 1•13 + 8
13 = 1•8 + 5
8 = 1•5 + 3
5 = 1•3 + 2
3 = 1•2 + 1
b. Working backwards,
1 = 3 - 2
1 = 3 - (5 - 3) = 2•3 - 5
1 = 2•(8 - 5) - 5 = 2•8 - 3•5
1 = 2•8 - 3•(13 - 8) = 5•8 - 3•13
1 = 5•(21 - 13) - 3•13 = 5•21 - 8•13
1 = 5•21 - 8•(34 - 21) = 13•21 - 8•34
1 = 13•(89 - 2•34) - 8•34 = 13•89 - 34•34
c. Using the linear combination find in part b,
1 ≡ 13•89 - 34•34 (mod 89)
1 ≡ (-34)•34 (mod 89)
and
-34 ≡ -34 + 89 ≡ 55 (mod 89)
So, the inverse of 34 modulo 89 is 55.
d. Multiply both sides of the congruence by the inverse of 34:
55•34x ≡ 55•53 (mod 89)
x ≡ 2915 ≡ 32•89 + 67 ≡ 67 (mod 89)
Look at the angle Z that is marked on the shape. Is this angle less than, more than or equal to a right angle?
Answer:
Less then a right angle
Step-by-step explanation:
It’s can’t be equal (looks at other examples of a right angle)
It can’t be more since that would bve more then a right angle and it certainly isnt more
it can only be less
whats the answer can someone answer please
Answer:
5. b and 6. c
Step-by-step explanation:
Answer:
5. b
6. c
Step-by-step explanation:
What is the value of w in the equation? 7w + 4 = 16 + 9 A.7 B.25 C.3 D.21
Answer: C
Step-by-step explanation:
16+9=25 so 25-4 is 21 and 7 times 3 is 21. This means that 7(3) + 4 is 25
For each value of v, determine whether it is a solution to 59 = 3 - 7v.
Answer:
[tex]59=3-7v[/tex]
Subtract 3 from both sides:
[tex]59-3=3-7v-3[/tex]
[tex]56=-7v[/tex]
[tex]-7v=56[/tex]
[tex]v=-8[/tex]
-8 is the only solution.
Answer:
well I think it's -6
Step-by-step explanation:
7×-6=-42+3=39
A normal distribution of scores has a standard deviation of 10and a samplemean of 50. Find the probability corresponding to each of the following values:
a. a score of 67
b. a score that is below 36
c. a score that is greater than 78
d. a score between 52 and 67
Answer:
Step-by-step explanation:
o What proportion of normal distribution corresponds to z-scores < z = 1.00? o What is the probability of selecting a z-score less than z = 1.00? (A). (B). (C).
Can someone help plz
Problem 1
The price for one super skateboard is £75.00 which is found in cell C8. When it comes to excel spreadsheets, we always read across the top first before reading the left hand side. So the format is columnRow which may seem strange if you're used to reading the row first.
Right next to cell C8 is D8 and that's the number of super skateboards sold (26 of them). Multiply the unit price by the number of units sold to get the revenue for this particular type of item.
75*26 = 1950
Now the question is: what if the company sells more than 26 skateboards? Let's say there was an error and 30 boards were sold. To quickly recompute the correct answer, we can rely on references rather than hardcoded values.
Typing out [tex]=C8*D8[/tex] will compute the multiplication of items C8 and D8. The equal sign out front is very important. It tells the spreadsheet program that you want to do this type of operation (rather than just write out plain text). If you were to simply type in C8*D8 without the equal sign, then the result is exactly C8*D8 without filling in the variables.
Answer is =C8*D8Don't forget about the equal sign out front
===========================================================
Problem 2
Like before, we'll have an equal sign as the first thing we type in. Then we'll type in Sum(E5:E14) to sum of the values from E5 to E14. You could type in Sum(E5,E6,E7,E8,E9,E10,E11,E12,E13,E14) or you could type in E5+E6+E7+E8+E9+E10+E11+E12+E13+E14; however, that would be a tedious approach prone to error. The spreadsheet program interprets the colon as a way to fill in the gap from start to end. We start at E5 and end at E14, and add up everything in between.
Note that all the cells referenced are the various revenues for each type of item. Each of these cells is computed by multiplying the C and D column items.
Answer is =Sum(E5:E14)Don't forget about the equal sign out front
===========================================================
Problem 3
There are a few other alternatives, but your teacher might be talking about adding each item one at a time. Refer to problem 2 for more info.
Answer is =Sum(E5,E6,E7,E8,E9,E10,E11,E12,E13,E14)Or
Answer is =E5+E6+E7+E8+E9+E10+E11+E12+E13+E14Don't forget about the equal sign out front
===========================================================
Problem 4
Answer: 96 poundsExplanation: Simply pick out the smallest item. The excel command is "min" and you provide it a list of values to pick from. In this case, that list being E5:E14 to represent E5,E6,...,E13,E14. So you'll type in =Min(E5:E14) similar to what you did for the "sum" command.
===========================================================
Problem 5
Answer: 1950 poundsExplanation: As you can probably guess, the "max" function is used here. It picks out the largest value of a list. The command is =Max(E5:E14)
===========================================================
Below I've attached two images. Figure 1 shows the commands to type in, while figure 2 shows the result of each command. In other words, it's the before and after. I used LibreOffice spreadsheet, but this applies to any spreadsheet program as they all tend to follow the same idea.
A line with a slope of
–
1
8
passes through the points (4,
–
7) and (
–
4,k). What is the value of k?
what is the slope of the line on the graph
Answer:
(6,0) (-6,0)
Step-by-step explanation:
sorry kung mali pero sana makahelp
An expression is given.
6x (3x + 11)
Create an equivalent expression with the fewest terms possible.
HELP ASAP!!!!
Equivalent expressions are simply expressions that have the same value, irrespective of their form.
The equivalent expression of [tex]\mathbf{6x(3x + 11)}[/tex] is [tex]\mathbf{18x^2 + 66x}[/tex]
The expression is given as:
[tex]\mathbf{6x(3x + 11)}[/tex]
Start by opening the brackets; i.e. apply distributive property
[tex]\mathbf{6x(3x + 11) = 6x \times 3x + 6x \tiimes 11}[/tex]
Evaluate all products
[tex]\mathbf{6x(3x + 11) = 18x^2 + 66x}[/tex]
The expression cannot be further simplified.
Hence, the equivalent of [tex]\mathbf{6x(3x + 11)}[/tex] is [tex]\mathbf{18x^2 + 66x}[/tex]
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biografía completa de Pitágoras
Answer:
hiiiiiiiiiíiiiiiiiiiii
Jace's average gross pay is $1,450.00 bi-weekly. Determine how many years it will take Jace to earn his first million dollars.
a
27 years
b
26 years
c
14 years
d
13 years
Please Help!!!
it will take him 27 years
pls helpppppp i begggg
Answer
x Is less than 4
Step-by-step explanation:
It will be an open circle and the arrow is going the left direction on the number 4
-
The sum of 2 and x is at least - 19.
2 + x = -19 <=> x = -19 -2 = -21