A chemistry class is made up of % women and has women in it. What is the total number of students in the class?
Answer:
67 students
Step-by-step explanation:
Given
[tex]\%Women = 55\%[/tex]
[tex]Women = 37[/tex]
Required
The number of students
Let:
[tex]n \to students[/tex]
So, we have:
[tex]\%Women = \frac{Women}{n} * 100\%[/tex]
This gives:
[tex]55\% = \frac{37}{n} * 100\%[/tex]
Make n the subject
[tex]n = \frac{37}{55\%} * 100\%[/tex]
[tex]n = \frac{37}{55} * 100[/tex]
[tex]n = \frac{3700}{55}[/tex]
[tex]n = 67.27273[/tex]
[tex]n = 67[/tex] ---- Approximated
11. f(x) = x + 3, g(x) = -x + 2. Find (f + g)(x)
Answer:
(f + g)(x) = 5
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Terms/CoefficientsFunctionsFunction NotationStep-by-step explanation:
Step 1: Define
Identify
f(x) = x + 3
g(x) = -x + 2
(f + g)(x) is f(x) + g(x)
Step 2: Find
Substitute in function values: (f + g)(x) = x + 3 - x + 2[Subtraction] Combine like terms (x): (f + g)(x) = 3 + 2Add: (f + g)(x) = 5I NEED HELP NOW MY ASIGNMENT IS DUE BEFORE 8;00 PLZZZ HELP AND PUT A ANSWER THAT HASN'T BEEN USED(05.02)Mr. Morris is going to save money and replace his sailboat's mainsail himself. He must determine the area of the mainsail in order to buy the correct amount of material. Calculate the area of the parallelogram to determine how much material should be purchased. Be sure to explain how to decompose this shape into rectangles and triangles. Describe their dimensions and show your work.
Parallelogram with base of 14 feet, height of 12 feet, and triangle base of 3 feet.
Answer:
10 feet
Step-by-step explanation:
Answer:
See below
Step-by-step explanation:
Area of parallelogram is
A = base of parallelogram x height of parallelogram
= 14 x 12 = 168 sq feet
Break parallelogram down into figures
There would be 2 triangles and 1 square
Area of 1 triangle = 0.5 (3 x 12) = 18
Area for 2 triangles = 2 x 18 = 36
Area of square = base x height
= 11 x 12 = 132
132 + 36 = 168
Area of parallelogram is 168 sq feet
3.
4.
Every weekend Felicia is paid $30 to do the gardening for her
grandparents. She is saving her money to buy a new bike that
costs $189. So far, she has saved $60.
What is the minimum number of weekends she'll have to
continue to do the gardening in order to have the $189 she
needs for the bike?
Answer:
5 weekends
Step-by-step explanation:
Felicia already has 60$ of her goal of 189$ so 189-60=129
129/30=4.3
Felicia would need to work exactly 4.3 weekends to make up her goal, but you cant split a weekend into decimals, so we round up to the next whole number which is 5.
Answer:
she needs to work a minimum of 5 weekends
Step-by-step explanation:
60 + 30w ≥ 189
30w ≥ 129
w ≥ 4.3
What is half of 3/4 in fraction?
Answer:
3/8
Step-by-step explanation:
1/2 times 3/4= 3/8
In general, half of all the customers you speak to will ask about any upcoming pricing discounts or promotions. Of those who do ask, only 20% qualify for the discount. So that means if I speak to 300 customers, how many will qualify for the discount
Answer:60
Step-by-step explanation:
300 of 20% is 60
The number of qualified customers for the discount will be 60.
What is the percentage?The Percentage is defined as representing any number with respect to 100. It is denoted by the sign %. The percentage stands for "out of 100." Imagine any measurement or object being divided into 100 equal bits.
It is given that half of all the customers you speak to will ask about any upcoming pricing discounts or promotions. Of those who do ask, only 20% qualify for the discount. So that means if I speak to 300 customers.
The number of qualified customers will be calculated as below:-
The qualified customers are 20% of 300.
Number = 300 x (20/100)
Number = 300 x 0.2
Multiply the number 330 with 0.2 to get the final value.
Number = 60
Therefore, the number of qualified customers for the discount will be 60.
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You spin the spinner, flip a coin, then spin the spinner again. Find the probability of the compound event. Write your answer as a fraction or percent rounded to the nearest hundredth.
The probability of not spinning a red, flipping tails, then not spinning an even number is ?
Answer:
2 / 9
Step-by-step explanation:
From the spinner :
Number of reds = 1
Total number of colors = 3
P(not red) = Probability of not spinning red, = 1 - p(red) = 1 - 1/3 = 2/3
P(flipping tail) = a coin flip, P(tail) = 1/2
P(not even) = probability of not obtaining an even number) = 1 - p(obtaining an even number)
(1, 2, 3) ; not even = (1, 3)
P(not even) = 2 /3
Compound probability = 2/3 * 1/2 * 2/3 = 4 / 18 = 2 /9
Homework Question Help Pls
Answer:
3.07091228=x
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
tan theta = opp/ adj
tan 21 = x/8
8 tan 21 =x
3.07091228=x
Jackson made 36 calls in 2.25 hours. How many calls per hour did he make?
Answer:
16 calls
Step-by-step explanation:
make an equation based off this ratio -- 36 calls: 2.25 hours and x calls: 1 hour
36/2.25 = x/1
cross multiply to get 36=2.25x
divided by 2.25 on both sides
x=16
Simplify (2 1/6 - 1 2/3) - 2 2/3
Answer:
[tex]- 2\frac{1}{6}[/tex]
Step-by-step explanation:
[tex](2\frac{1}{6} -1\frac{2}{3}) - 2 \frac{2}{3}[/tex]
[tex](\frac{13}{6} -\frac{5}{3}) - 2 \frac{2}{3}[/tex]
[tex](\frac{13}{6} -\frac{10}{6}) - 2 \frac{2}{3}[/tex]
[tex]\frac{3}{6} - 2 \frac{2}{3}[/tex]
[tex]\frac{3}{6} - \frac{8}{3}[/tex]
[tex]\frac{3}{6} - \frac{16}{6}[/tex]
[tex]- \frac{13}{6}[/tex]
[tex]- 2\frac{1}{6}[/tex]
Use slopes and y-intercepts to determine if the lines y=−2/3x+2 and −3x+2y=−4 are parallel.
Answer:
the answer is no
Step-by-step explanation:
y = -2/3x+2
2y = 3y-4
y = 3/2y-2
but here's a comment: it is perpendicular because it is it's opposite reciprocol
Which part of the angle is the vertex?
Answer:
the answer is point Y since it is in the middle of the line between X and Z
Answer:
Point Y
Step-by-step explanation:
Always the lines which intersect at a point, that point is called vertex.
I need the area please
Answer:
120
Step-by-step explanation:
Figure shown is a parallelogram
Area of a parallelogram = base length times height
Given base length: 15in
Given height:8in
Area = 8 * 15 = 120in^2
Answer:
120 in.²
Step-by-step explanation:
8 in. × 15 in. = 120 in.²
Find the equal measures of 1. 28 m = ________ km 2. 3899 ml = ______ l 3. 79 kg = _____ g Show the process of each
Answer:
1. 0.028 km
2. 3.899 L
3. 79,000 g
The ages of each of the basketball players on a team are given.
13, 13, 13, 14, 14, 17, 18, 18
What is the mean age of these players?
Answer:
15
Step-by-step explanation:
We add up the ages of all the basketball players.
13 + 13 + 13 + 14 + 14 + 17 + 18 + 18 = 120
Now we divide by the number of basketball players.
120 ÷ 8 = 15
The mean age of the basketball players are 15.
Answer:
Mean = 15
Step-by-step explanation:
Mean = sum of observation. ÷ total no. of observation
= 13 + 13 + 13 + 14 + 14 + 17 + 18 + 18 ÷ 8= 120 ÷ 8= 15There are 27 chocolates in a box, all identically shaped. They’re 10 are filled with nuts, eat with Carmel, and nine are solid chocolate. You randomly select one piece, eat it, and then select a second piece find the probability of selecting two solid chocolate in a row
There are 27 chocolates. 10 are nuts ( 37%). 9 are chocolates (33%). 8 are caremel (30%). So 37/2 = 16.5% is the answer.
does anyone know which graph represents the equation 2 and 2/3 × 3/4
Answer:
2
Step-by-step explanation:
2 2/3=8/3
8/3*3/4=8/4=2
Please answer this, I am confused (5^2)(7^2)(3^2)
Given:
The expression is:
[tex](5^2)(7^2)(3^2)[/tex]
To find:
The value of the given expression.
Solution:
We have,
[tex](5^2)(7^2)(3^2)[/tex]
On simplification, we get
[tex](5^2)(7^2)(3^2)=(25)(49)(9)[/tex]
[tex](5^2)(7^2)(3^2)=11025[/tex]
Therefore, the value of the given expression is 11025.
A university dean of students wishes to estimate the average number of hours students spend doing homework per week. The standard deviation from a previous study is 6.2 hours. How large a sample must be selected if he wants to be 99% confident of finding whether the true mean differs from the sample mean by 1.5 hours
Answer:
The Sample Size Need To be at least 114
Step-by-step explanation:
According to the Question,
Given, A university dean of students wishes to estimate the average number of hours students spend doing homework per week. The standard deviation from a previous study is 6.2 hours.The Maximum Error(E) is given as 1.5 hours and the standard deviation(σ) is 6.2 hours.
Now, For 99% Confident the level of value α is 0.01.α/2 = 0.01/2 ⇒ 0.005
Thus, From The table, We get that the value of [tex]Z_{alpha/2}[/tex] is 2.58.Hence, the sample size n can be found as
n = {[tex]\frac{(Z_{alpha/2} * Standard Deviation)}{E}[/tex]}²
n = {2.58 × 6.2}² / 1.5²
n = 113.72 .
So, The Sample Size Need To be at least 114.
Tell wether x and y show a proportional relationship.
x 1 2 3 4
y 4 8 12 16
Answer:
They do because y is always 4 times of x.
Step-by-step explanation:
Plz help me simply this
Answer:
Step-by-step explanation:
[tex]\sqrt[5]{u^{10}*p^{15}}*\sqrt[4]{u^{16}*p^{18}}= \sqrt[5]{u^{2*5}*p^{3*5}}*\sqrt[4]{u^{4*4}*p^{16*2}}\\\\\\=\sqrt[5]{(u^{2})^{5}*(p^{3})^{5}}*\sqrt[4]{(u^{4})^{4}*p^{4*4}*p^{2}}\\\\=\sqrt[5]{(u^{2})^{5}*(p^{3})^{5}}*\sqrt[4]{(u^{4})^{4}*(p^{4)^{4}}*p^{2}}\\\\=u^{2}*p^{3} * u^{4}*p^{4}*\sqrt[4]{p^{2}}\\\\=u^{2+4}*p^{3+4}*\sqrt[4]{p^{2}}\\\\= u^{6}p^{7}\sqrt[4]{p^{2}}[/tex]
A grocery store chain uses loyalty cards that offer discounts on sale attheir store. The probability that a randomly chosen shopper has a loyaltycard is 0.8. A group of shoppers have been selected at random to completea customer satisfaction survey. Let Xi be a random variable that equals 1 when a customer has a loyalty card and 0 otherwise.
Required:
a. Construct a joint probability table for the random variables X, and X.
b. Define the event that the first four customers sampled have loyalty cards in terms of the random variables X, X2, X3, and Xd. Then compute the probability of this event.
0.36% as a fraction in simplest form
Answer: 9/2500
Step-by-step explanation:
We start with turning it into a fraction:
0.36/100
Then, we turn every number into a whole number by multiplying by whatever the last decimal place is called (hundreth= x100)
36/10000
Lastly, we simplify as much as we can by finding the least common denominator. In this case, the smallest whole number both 36 and 10000 can be divided by is 4:
(36/4)/(10000/4)
= 9/25000
En una P.A. el t(18) es 125 y el t(36) es 251. hallar el término que ocupa el lugar 45.
Answer:
161 correo o no ............
plz it's do to day HELP PLZ
Answer:
9 units^3
Step-by-step explanation:
V = l*w*h
= 1 1/2 * 4 * 1 1/2
Change to improper fractions
= 3/2 * 4 * 3/2
= 36/4
= 9 units^3
If using the method of completing the square to solve the quadratic equation
x^2 + 8x – 4 = 0, which number would have to be added to "complete the square"?
Step-by-step explanation:
everything can be found in the picture
Riley's cat has 8 kittens. Of those 8 kittens, 4 are brown, 1 is grey, and the rest are orange. Which of the following could be used to find the probability that the first kitten Riley picks up at random is NOT orange?
Answer:
5/8 or 62.5 percent
Step-by-step explanation:
Solve for M and N please help me
Answer:
M=4 N=6
Hope this helped!
Identify the x-intercept points of the parabola
Answer:
(3,0) and (-1,0)
Step-by-step explanation:
The X intercept are the point(s) where the line croses the X axis (the horizontal/leftright line). the points for this graphing system are always listed (x,y) so to find a certain point you find the X value then the Y value
The club with an occupancy of 100 will sell out at $25 per ticket. If the owner decides to increase the price by $5, then 2 less tickets will be sold. Determine the revenue function if x is the number of $5 increases.
Answer:
100 + (5X) = -2X
Step-by-step explanation:
Since the club with an occupancy of 100 will sell out at $ 25 per ticket, and if the owner decides to increase the price by $ 5, then 2 less tickets will be sold, to determine the revenue function if X is the number of $ 5 increases the following calculation must be performed:
100 + (5X) = -2X
So, for example, if the price were increased by $ 15, the equation would apply as follows:
15/5 = 3
100 + (5x3) = -2 x 3
100 + 15 = -6
115 = -6
