Answer:
Each of her friends ate 7/32 of the cake.
Step-by-step explanation:
Given that Fon baked a cake and ate 1/8 of it, and then she shared the remaining cake equally to her 4 friends, to determine what fraction of the whole cake did each of her friends received, the following calculation must be performed:
(8 - 1/8) / 4 = X
(7/8) / 4 = X
(28/32) / 4 = X
7/32 = X
Thus, each of her friends ate 7/32 of the cake.
What is an equation of the line that passes through the point (8,-8)(8,−8) and is perpendicular to the line 4x-3y=184x−3y=18?
Answer:
The equation of the line is [tex]y = -\frac{3x}{4} - 2[/tex]
Step-by-step explanation:
Equation of a line:
The equation of a line has the following format:
[tex]y = mx + b[/tex]
In which m is the slope and b is the y-intercept.
Perpendicular lines:
When two lines are perpendicular, the multiplication of their slopes is -1.
Perpendicular to the line 4x-3y=18
First, we place this line into the format, to find the slope:
[tex]4x - 3y = 18[/tex]
[tex]3y = 4x - 18[/tex]
[tex]y = \frac{4x}{3} - 6[/tex]
This line has slope 4/3. So, for the perpendicular line, the slope will be of m as such:
[tex]\frac{4m}{3} = -1[/tex]
[tex]4m = -3[/tex]
[tex]m = -\frac{3}{4}[/tex]
So the desired line will have an equation in the following format:
[tex]y = -\frac{3x}{4} + b[/tex]
Passes through the point (8,-8)
We use this to find b. This point means that when [tex]x = 8, y = -8[/tex]. So
[tex]y = -\frac{3x}{4} + b[/tex]
[tex]-8 = -\frac{3*8}{4} + b[/tex]
[tex]-8 = -6 + b[/tex]
[tex]b = -2[/tex]
So
[tex]y = -\frac{3x}{4} - 2[/tex]
in a class of 34 students, 19 of them are girls.
What percentage of the class are girls?
Give your answer to 1 decimal place.
Answer:
55.8% close to 56% :)
Step-by-step explanation:
Answer:
I think it's 55.88%
Step-by-step explanation:
A sample of 50 potential customers was asked to use your new product and the product of the leading competitor. After one week, they were asked to indicate which product they preferred. In the sample, 30 potential customers said that they preferred your product. (a) Find the sample proportion. (5 points) (b) Find the 95% confidence interval for the proportion of potential customers who prefer your product. (10 points) (c) If you want the 95% maximum likely error to be 0.08 or less, what would you choose for a sample size
Answer:
a) The sample proportion is of 0.6.
b) The 95% confidence interval for the proportion of potential customers who prefer your product is (0.4642, 0.7358).
c) A sample size of 145 is needed.
Step-by-step explanation:
(a) Find the sample proportion.
30 out of 50. So
[tex]\pi = \frac{30}{50} = 0.6[/tex]
The sample proportion is of 0.6.
(b) Find the 95% confidence interval for the proportion of potential customers who prefer your product.
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].
For this problem, we have that:
[tex]n = 50, \pi = 0.6[/tex]
95% confidence level
So [tex]\alpha = 0.05[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].
The lower limit of this interval is:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.6 - 1.96\sqrt{\frac{0.6*0.4}{50}} = 0.4642[/tex]
The upper limit of this interval is:
[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.6 + 1.96\sqrt{\frac{0.6*0.4}{50}} = 0.7358[/tex]
The 95% confidence interval for the proportion of potential customers who prefer your product is (0.4642, 0.7358).
(c) If you want the 95% maximum likely error to be 0.08 or less, what would you choose for a sample size
The margin of error is:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
We need a sample size of n, and n is found when M = 0.08. So
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
[tex]0.08 = 1.96\sqrt{\frac{0.6*0.4}{n}}[/tex]
[tex]0.08\sqrt{n} = 1.96*sqrt{0.6*0.4}[/tex]
[tex]\sqrt{n} = \frac{1.96*sqrt{0.6*0.4}}{0.08}[/tex]
[tex](\sqrt{n})^2 = (\frac{1.96*sqrt{0.6*0.4}}{0.08})^2[/tex]
[tex]n = 144.1[/tex]
Rounding up
A sample size of 145 is needed.
|2x-3|=2
What is x?
Pls Help I need help very very BADDDDD!
Answer:
Hey! Hope this helps!
Step-by-step explanation:
Have an awesome Friday <3
besties help what's 84÷n=6
Answer:
14
Step-by-step explanation:
When one encounters a problem like this all one must do is divide the number to the left (84) by the number on the right (6) then to double check divide the outcome by the number on the left or multiply the outcome by the one on the right.
Feel free to check the equations below:
84 divided by 6 = 14
84 divided by 14 = 6
14 times 6 = 84
84 ÷ 14 = 6
Martin had a lemonade stand in the summer. He sold 8 drinks every hour. How much time would it take Martin to sell 32 drinks? (just put the number in the answer)
Answer:
4 hours
Step-by-step explanation:
32/8=4
Answer:
4 Hours
Step-by-step explanation:
just divide 32 by 8
In triangle XYZ, the measure of angle Z is 42°, and the measure of angle Y is 68.4°. What is the measure of angle X?
9514 1404 393
Answer:
69.6°
Step-by-step explanation:
The sum of angles in a triangle is 180°, so angle X is ...
∠X = 180° -∠Y -∠Z
∠X = 180° -68.4° -42°
∠X = 69.6°
help find the surface area
Answer:
9yd
Step-by-step explanation:
Because you have to look at the sides.
What value of x makes 2x - 7 = 13 true?
Answer: x=10, is the correct answer.
Step-by-step explanation:
I don’t understand, can someone help ?
Answer:
d. tan (35) = [tex]\frac{x}{10}[/tex]
Step-by-step explanation:
You must memorize the definitions of all the trig functions.
Tan of an angle = opposite side/adjacent side
In your case, the opposite side of the 35° angle is x and the adjacent side of the 35° angle is 10
So, tan 35 = x/10
If there are 42 boys and 54 girls in a room, fill out all of the possible
ratios of boys to girls that could be made.
There are 42 boys for every 54 girls (42:54 ratio)
Answer:
21:27 and 14:18
Step-by-step explanation:
We can solve this by using common factors
one of the common factors of 54 and 42 is 3
42/3=14
54/3=18
so one of the ratios is 14:18
another common factor is 2
42/2=21
54/2=27
so another ratio is 21:27
A meteoroid moving at a constant speed travels 6 7/8 miles in 30 seconds. How far does the meteoroid travel in 1 second?
Answer:
k
Step-by-step explanation:
k
please help 7th grade math
Answer:
8
Step-by-step explanation:
The mode is the number that appears most in the data set.
8 appears twice while all the other only appear once.
if I have five gallons of paint and I used 3/4 of the five gallons how much do I have left over
Answer:
4.25
Step-by-step explanation:
5-3/4=4.25
3/4 to the 2nd power
[tex]Your[/tex] [tex]answer[/tex] [tex]would[/tex] [tex]be.[/tex]
[tex]3/4[/tex] [tex]to[/tex] [tex]the[/tex] [tex]second[/tex] [tex]power[/tex] [tex]is[/tex] [tex]9/16[/tex] [tex]or[/tex] [tex]0.5625[/tex]
[tex]- Yaoii[/tex]
A (5,3) and B(3,-2) are two fixed points. Find the equation of the locus of P, so that the
area of triangle PAB is 9.
Answer:
[tex]37=5x-2y,\,1=5x-2y[/tex]
Step-by-step explanation:
If [tex](x_1,y_1),\,(x_2,y_2),\,(x_3,y_3)[/tex] are coordinates of a triangle then area of a triangle is equal to [tex]\frac{1}{2}|x_1(y_2-y_3)+x_2(y_3-y_1)+x_3(y_1-y_2)|[/tex]
Let point P be [tex](x,y)[/tex]
Put [tex](x_1,y_1)=(5,3),\,(x_2,y_2)=(3,-2),\,(x_3,y_3)=(x,y)[/tex]
Area of a triangle = [tex]\frac{1}{2}|5(-2-y)+3(y-3)+x(3+2)|[/tex]
[tex]=\frac{1}{2}|-10-5y+3y-9+5x|\\\\=\frac{1}{2}|-19+5x-2y|[/tex]
Also,
Area of a triangle = 9 square units
[tex]9=\frac{1}{2}|-19+5x-2y|\\\\18=|-19+5x-2y|[/tex]
±18 = -19 + 5x - 2y
[tex]18=-19+5x-2y,\,-18=-19+5x-2y\\\\37=5x-2y,\,1=5x-2y[/tex]
I need help ASAP pls
Answer:
(D) y = 75x ... hope that helps!
I need help! I’m stuck on this problem!!
Jackie is five times as old as her son Elijah. The sum of their ages is 48. How old is Elijah?
Answer:
Elijah is 8.
Step-by-step explanation:
8 x 5 = 40 (Jackie is 40)
40 + 8 is 48!
Answer:
97.9% sure its 8
Step-by-step explanation:
Which expression is equivalent to the given expression? Assume the denominator does not equal zero. 12x^9y^4/6x^3y^2
Answer:
The correct answer is 2x^6y^2
Step-by-step explanation:
I got it right. Hope this helps.
An expression is defined as a set of numbers, variables, and mathematical operations. The solution of the given expression (12x⁹y⁴)/(6x³y²) is 2x⁶y².
What is an Expression?In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
The given expression (12x⁹y⁴)/(6x³y²) can be solved as,
(12x⁹y⁴)/(6x³y²)
= (12/6) x⁽⁹⁻³⁾ y⁽⁴⁻²⁾
= 2x⁶y²
Hence, the solution of the given expression (12x⁹y⁴)/(6x³y²) is 2x⁶y².
Learn more about Expression:
https://brainly.com/question/13947055
#SPJ2
function q has zeros of -3 and 8 and passes through the y-axis at the point (0,12). the rate of change of function q is -3/2 on the interval (?,?). answer for the ?’s
Answer:
Step-by-step explanation:
"function q has zeros of -3 and 8"
q(x) = a(x+3)(x-8)
"q passes through the y-axis at the point (0,12)"
a(0+3)(0-8) = 12
a = -½
q(x) = -½(x+3)(x-8) = -½x² + 2.5x + 12
q'(x) = -x+2.5
-x+2.5 = -1.5
x = 4
rate of change is -1.5 at the point (4,14).
HELP I NEED HELP!!!
A cube is numbered 1 through 6. If the cube is rolled twice, how many of the possible outcomes will have two
numbers?
O 3
O9
O18
O36
Answer:
36
Step-by-step explanation:
The outcome could be any number 1 through 6.
Hope halps
Solve the proportion 3/x+1 = 1+2
Answer:
x = 5
Common denominator of 3/x+1 to 1/2
If the numerator is 3 times, then so is the denominator in a proportion.
3/1=x+1/2
x+1 must equal 6 for the proportion to be equal to 1/2.
6-1=5, so x is 5.
please help with this math problem
Answer:
7, 15
Step-by-step explanation:
hope it can help you
Step-by-step explanation:
14/2 =7 so
(x+7)^2 + [ ]
if you were to multiply just the (x+7)^2 term it would look like x^2 +14x+49, but we need that final term to be equal to 64, so you can add 15 on to the end to make up for the gap.
This should get you
f(x) = (x+7)^2 + 15
Find the volume of this figure.
What percent of people surveyed from San Francisco wear Adidas shoes? Round to the nearest percent when necessary.
Answer:
33
Step-by-step explanation:
Add 165 and 80 to get 245. 80 times 3 = 240.
So 80 is around 1/3 of 240. In other words it is around 33%
Answer:
5
Step-by-step explanation:
HELP ITS DUE IN 4 MINUTES
Answer:
3rd choice
4th choice
1st choice
2nd choice
Find the inverse of square root f(n) = n – 3.
Of(n) = (n + 3)
Of-1 (n) = yn +1
Of-1 (n) = -n° +1
Of-1 (n) = -n3 – 3
Answer:
[tex]f'(n) = n + 3[/tex]
Step-by-step explanation:
Given
[tex]f(n) = n - 3[/tex]
Required
The inverse
[tex]f(n) = n - 3[/tex]
Replace f(n) with y
[tex]y = n - 3[/tex]
Swap positions of y and n
[tex]n = y - 3[/tex]
Make y the subject
[tex]y = n + 3[/tex]
Replace y with f'(n)
[tex]f'(n) = n + 3[/tex]
Simplify 8 – 2(3x – 36) + 4x
A. 22x - 216
B. -2x – 288
C. -2x + 80
D. X + 900
Answer:
C. -2x + 80
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightDistributive Property
Algebra I
Terms/CoefficientsStep-by-step explanation:
Step 1: Define
8 - 2(3x - 36) + 4x
Step 2: Simplify
[Distributive Property] Distribute -2: 8 - 6x + 72 + 4x[Addition] Combine like terms (x): -2x + 8 + 72[Addition] Combine like terms (Z): -2x + 80PLEASE HELP ASAP WILL MARK BRAINLIEST ✨
Answer:
12 | 52 | 64 |
27 | 59 | 86 |
39 | 111 | 150 |
I attempted making a chart with the answers