Fatoumata owns a small business selling ice-cream. She knows that in the last week 13 customers paid cash, 39 customers used a debit card, and 5 customers used a credit card.
Based on these results, express the probability that the next customer will pay with a debit card as a percent to the nearest whole number.
Answer:
40
Step-by-step explanation:
40 because 39 will round up to 40 by 1
The probability in percentage that the next customer will pay with a debit card will be 68.42%.
What is probability?Its fundamental concept is that someone will nearly surely occur. The proportion of positive events in comparison to the total of occurrences. Then the probability is given as,
P = (Favorable event) / (Total event)
She knows that in the last week, 13 customers paid cash, 39 customers used a debit card, and 5 customers used a credit card.
The probability that the next customer that will pay with a debit card will be given as,
P = 39 / (13 + 39 + 5)
P = 39 / 57
P = 0.6842 or 68.42%
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In the diagram, a circle centered at the origin, a right triangle, and the Pythagorean theorem are used to derive the equation of a circle, x2 + y2 = r2.
If the center of the circle were moved from the origin to the point (h, k) and point P at (x, y) remains on the edge of the circle, which could represent the equation of the new circle?
A: (h + x)2 + (k + y)2 = r2
B: (x – h)2 + (y – k)2 = r2
C: (k + x)2 + (h + y)2 = r2
D: (x – k)2 + (y – h)2 = r2
Answer:
B
Step-by-step explanation:
[tex]\textsf{Let}\:(x_1,y_1)=(h,k)[/tex] → new center of the circle
[tex]\textsf{Let}\:(x_2,y_2)=(x,y)[/tex] → point on the circle
Therefore, the radius (r) is the distance between (x, y) and (h, k)
Use the distance formula:
[tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}=d[/tex]
[tex]\implies \sqrt{(x-h)^2+(y-k)^2}=r[/tex]
Square both sides:
[tex]\implies (x-h)^2+(y-k)=r^2[/tex]
Answer:
Option B
Step-by-step explanation:
Then we have to use distance formula to derive it
√(x-h)²+(y-k)²=r(x-h)²+(y-k)²=r²Option B is correct
laws of exponents:
Squares and Square roots:
√9a¹⁶b³⁶
Step-by-step explanation:
Square root is equivalent to 1/2 power:
[tex] {(9 {a}^{16} {b}^{36} )}^{ \frac{1}{2} } [/tex]
Square root of 9 is 3. Multiply the exponents by 1/2 to get:
[tex] 3{a}^{8} {b}^{18} [/tex]
Please help me with this math problem!! Will give brainliest!! :)
Answer:
5 for both.
Step-by-step explanation:
Multiplying exponents rule with like bases;
Add powers with like bases.
So, if we look at x to the power of the blank multiplied by x to the power of 5, we know that 5 added to that unknown/blank power would equal in 10(using the multiplication of exponents rule), because in the results it says x^10.
Thus,
x to the power of __ · x to the power of 5 = x to the power of 10
And, 5 would make a solution for the blank, because;
x to the power of 5 · x to the power of 5 = x to the power of 10, which is true because their exponents added together would be 10 → (5 + 5).
Now, if we look at y to the power of 3 multiplied by y to the power of the blank, we know that 3 added to the unknown/blank power would equal in 8(using the multiplication of exponents rule) because in the results says y^8.
Thus,
y to the power of 3 · y to the power of __ = y to the power of 8
And, 5 would make a solution for the blank, because;
y to the power of 3 · y to the power of 5 = y to the power of 8, which is true because their exponents added together would be 8 → (3 + 5).
Therefore, 5 would be the answer.Overall you're basically just multiplying all those exponents together.
What is the arc measure of minor arc AB on circle P in degrees?
Answer:
74
Step-by-step explanation:
This is called a central angle, meaning that what ever te angle measure is, is the same to its ark measure.
So to find that inside angle measure you have to subtract 360 by 286
whitch is 74
74 is your inside angle and the angle for ark AB
90 over 7 EndFraction divided by 1 and three-fourths
Answer:
120/7
Step-by-step explanation:
means90/7÷3/4
= 90/7 ×4/3
= 120/7
Jupiter has a diameter
86.881 mi. What is the
circumference of the
planet?
Answer:
about 272944 miles
Step-by-step explanation:
d=86,881mi
c=d(pi)
c=86881pi
c≈272944mi
How is the scale factor, surface area ratio and volume ratio related?
If two solids are similar with a scale factor of a/b, then the surface areas are in a ratio of [tex]\rm \left (\dfrac{a}{b } \right )^2[/tex].
If two solids are similar with a scale factor of a/b, then the volumes are in a ratio of [tex]\rm \left (\dfrac{a}{b } \right )^3[/tex].
What are the area and volume of similar solids?Two shapes are similar if all their corresponding angles are congruent and their corresponding sides are proportional.
Two solids are similar if they are the same type of solid and their corresponding radii, heights, base lengths, widths, etc. are proportional.
When two shapes are similar in two dimensions, the ratio of their areas is the square of the scale factor.
A comparable relationship holds in three dimensions as well.
Surface Area Ratio: If two solids are similar with a scale factor of a/b, then the surface areas are in a ratio of [tex]\rm \left (\dfrac{a}{b } \right )^2[/tex].
Volumes of Similar Solids; Just like surface area, volumes of similar solids have a relationship that is related to the scale factor.
Volume Ratio: If two solids are similar with a scale factor of a/b, then the volumes are in a ratio of [tex]\rm \left (\dfrac{a}{b } \right )^3[/tex].
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Hi, I need help, am struggling with this. Question is in image below.
Answer:
I believe that would be -24/16, -√2, 21/51, and then 0.42
Step-by-step explanation:
This is according to math app
A coin is tossed two times what is the probability of getting tails twice
Answer:
1/4
Step-by-step explanation1/4
PLEASE HELP ME!!!
I WILL MARK BRAINLIEST
Answer:
Equation:
(5x)° + (x - 6)° = 90
OR
5x + x - 6 = 90
x = 16
m
Angle1 = 80°
mAngle2 = 10°
Step-by-step explanation:
Angle 1 + Angle 2 adds up to 90°. The tiny square in the corner of the image shows you that the whole thing is 90°.
So write the equation base on that.
5x + x - 6 = 90
Combine like terms(add the x's)
6x - 6 = 90
Add 6.
6x = 96
Divide by 6.
x = 16
Fill in 16 for x to find the measures of the angles.
Angle 1 = 5x
= 5(16)
= 80°
Angle 2
= x - 6
= 16 -6
= 10°
And 80°+ 10° is 90° so that's a good check. Hope this helps!
Rewrite the log expression in exponential form:
logbA=x
Answer:
[tex]b^x =A[/tex]
Step-by-step explanation:
A card is selected at random from a deck of cards.
Determine the probability that the card selected is A 5
Answer:
8/52 = 4/26 =2/13
Step-by-step explanation:
A there are 4 aces
5 there are 4 5s
4+4=8
Can someone help me?
Answer:
CE
Step-by-step explanation:
CE IS THE REQUIRED ANSWER FOR THE GIVEN QUESTION
I NEED THAT ANSWER ASAP
Answer:
12.7
Solving steps:-
d = a√2
d = 9 (1.41)
d = 12.69
d = 12.7
Edgy question please help
What is the true solution to the equation below?
2 in en 2x - In en 10x - In 30
x - 30
O x - 75
OX-150
X-300
Answer:
B
Step-by-step explanation:
Answer:
x=75
Step-by-step explanation:
2 * ln (e ^ ln (2x)) - ln (e ^ ln (10x)) = ln (30)
Apply exponent rules
2 * ln (2x) - ln (10x) = ln (30)
Apply log rules
2 * ln (2x) - ln (10x) = ln (30)
Apply log rule: logc(ab) = logc(a) +logc (b)
Apply exponent rules
2 * ln (2x) - ln (10x) = ln (30)
Apply log rules
2 * ln (2x) - ln (10x) = ln (30)
Apply log rule: logc(ab) = logc(a) + logc (b)
ln (2x) = ln (2) + ln (2)
2(ln (2) + ln (x)) - ln (10x) = ln (30)
Apply log rule: logc(ab) = logc(a) + logc (b)
ln (10x) = ln (10) + ln (x)
ln (2x) = ln (2) + ln (2)
2(ln (2) + ln (x)) - ln (10x) = ln (30)
Apply log rule: logc(ab) = logc(a) + logc (b)
ln (10x) = ln (10) + ln (x)
Apply log rule: logc(ab) = logc(a) + logc (b)
ln (10x) = ln (10) + ln (x)
2(ln(2)+ln(x))-(ln(10)+ln(x))=]
Expand 2(ln(2) +ln(x)
ln (x) + 2 * ln (2) - ln (10) = ln (30)
Subtract 2 * ln (2) - ln (10) from both sides
In(x) + 2ln(2) - In(10) - (2ln(2) - In
Simplify
ln (x) = ln (30) - 2 * ln (2) + ln (10)
Simplifify ln (30) - 2 * ln (2) + ln 10
ln (x) = ln (75)
Apply log rule: If logb(f(x)) = logb (g(x)) then f(x) = g(x)
x = 75
Verify Solutions: X = 75
Check the solutions by plugging them
into 2 * ln (2x) - ln (10x) = ln (30) Remove the ones that don't agree with the equation.
Plug in x =75
2 * ln (2 * 75) - ln (10 * 75) = ln (30)
2 * ln (2 * 75) - ln (10 * 75) = ln (30)
ln (30) = ln (30)
True
help please help me
Answer:
19.6
Step-by-step explanation:
A = πr²
A = (3.14159)(2.5 in.)²
A = 19.6 in.²
Solve for xx. Round to the nearest tenth of a degree, if necessary.
Answer: 38.2
Step-by-step explanation:
The length of a rectangle is five time it’s width. If the perimeter of a rectangle is 84ft, find its area
Answer:
Area = 245 ft
(Width
Step-by-step explanation:
l = 5w
Where l is length and w is width.
We also know that the perimeter is 84 ft, so:
2l + 2w = 84
Now we can plug in 5w for l since we found the equality earlier:
2(5w) + 2w = 84
and then solve for w:
10w + 2w = 84
12w = 84
w = 7
so
l = 5 × 7
l = 35
The length is 35 and width is 7 so
the area of the rectangle is
[tex]7 \times 35 = 245ft [/tex]
Find the value of x
I need the answer ASAP
Answer:
15
Step-by-step explanation:
i kinda remember i think
2(x+8)=46
Students are comparing their helghts. Jose is 416, feet tall, Lee is 414, feet tall, Judi is 4112, feet tall, and Sammy is 423. feet tall. Which student is the tallest?
f Judi
g Jose
h Sammy
j Lee
Helpppppppppppppppppp
Answer:
They need $60.32 in order to purchase the swing set.
Step-by-step explanation:
682.56-200.000 = 482.56
482.56/8 = $60.32
Solve the equation 6
2 =
1
= 2-1.
4
Answer:
26
Step-by-step explanation:
welll i have no clue just guess i cant even read the question
1. What is the type of association between variables x and y?
options:
strong positive
strong negative
perfect positive
no association
2. What is the type of association between variables x and y?
options:
no association
moderate positive
weak negative
strong negative
The statements that describe the variables x and y are:
The association between variables x and y is (d) no associationThe type of association between variables x and y is (a) no associationHow to determine the associationIn the graph that relates variables x and y (see attachment), we can see that the points are scattered on the coordinate plane and they do not follow a specific pattern.
If the points are scattered, then the graph shows no association.
Hence, the graph shows no association
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A b c d or e what one
Answer: A its B
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
if y = 0
0 = -2x + 4 _ eq 1
0 - 4 = -2x
-4 = -2x
divide through by 2
x = -4 ÷ -2
x = 2
if x = 0
y = -2(0) + 4_ eq 2
y = 0 + 4
y = 4
:.(x,y) = (2,4)
What is the equation of the line that passes through the point (-5,-2) and has a slope of 3/5?
Answer:
y = 3/5x + 1
Step-by-step explanation:
Formula:
y - y1 = m(x - x1)
Plug in:
y - (-2) = 3/5(x - (-5))
Two negatives make a positive:
y + 2 = 3/5(x +5)
Distribute 3/5 to (x + 5):
y + 2 = 3/5x + 3
Get y by itself by - 2:
y = 3/5x + 1
Hope this helps you :)
Consider the diagram below, where h represents height and 2 represents length.
Which of the following represents the approximate area of both figures?
Answer:
Both figures have an area of (6hl) by Cavalieri's Principle for two-dimensional figures.
Step-by-step explanation:
Math Nation
Helppp meeeeee please
Answer:
The answer is F
Step-by-step explanation:
Because I said so
State the possible Number of positive and negative zeros for each function.
f(x) = 9x6 -3x5+ 33x4 -11x³ + 18x²- 6x
Algebraic rule
If a polynomial has n th degree then it has n no of zerosAs
here the polynomial has degree 6
Total zeros 66 can be all negative or positive
Answer:
Both positive (or) negative
Step-by-step explanation:
The polynomial's degree is 6 and so the polynomial has 6 zeroes. These zeroes can be either positive or negative.
Simplify: -15 + 23r + 9r^2 - 16r + 10
Answer:
9r^2 + 7r - 5
Step-by-step explanation: