There are 20 marbles, and 12 of them are yellow; therefore, the number of yellow marbles does not equal the number of marbles, nor does the number of yellow marbles equal the number of yellow marbles because they are yellow.
What might possibly be the smallest amount of marbles in the bag *?I There can only be 31 marbles in the bag, since 30 marbles is the most number that each person can have equitably, plus one extra marble. As a result, the first response is A. Since 60 is divisible by 2, 3, and 5, plus 1 (leaving 1 remaining), 61 might also be a conceivable number of marbles in the bag.
How do you calculate the likelihood of a ball?The likelihood of selecting a ball from a bag is calculated by dividing the total number of balls by the quantity of that color. As a result, the likelihood of a red ball in the first case is 3/9, or 1/3. The likelihood of selecting a second ball if that ball is now eliminated is 2/8 or 1/4.
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u=x-k+y solve for x
im lost.
Answer: x = k-y+
Step-by-step explanation:
u = x-k+y
"or -x = -k+y-u "
"or x = k-y+u
Five times the difference of a number minus 11
Answer:
x = 5
Step-by-step explanation:
5(2x-11) = -5
5(2x-11) = -510x - 55 = -5
5(2x-11) = -510x - 55 = -510x - 55 + 55 = -5 + 55
5(2x-11) = -510x - 55 = -510x - 55 + 55 = -5 + 5510x = 50
5(2x-11) = -510x - 55 = -510x - 55 + 55 = -5 + 5510x = 5010x / 10 = 50 / 10
x = 5
PLEASE HELP ME!
Going into the final exam, which will count as two tests, Sharon has test scores of 77, 84, 72,65, and 96. What score does Sharon need on the final in order to have an average score of 80 ?
Answer:
Step-by-step explanation:
Sharon has taken 5 tests so far, and the final will make that 7, since it counts as 2 tests. If her average is 80 then her total score on all tests must be 80 x 7 = 560.
So far she has scored a total of 77 + 84 + 72 + 65 + 96 = 394
She must therefore score
560 - 394 = 166
on the "double" final.
Her percentage score on the final must be 166/2 = 83.
need help quick, ez question
will give brainliest
The volume of the given triangular prism is 384 cm³.
What is the volume?Volume is the measure of the capacity that an object holds.
Formula to find the volume of the object is Volume = Area of a base × Height.
Here, the area of the base is
Area of a rectangle = 1/2 ×Base×Height
= 1/2 ×12×4
= 24 cm²
Now the volume is 24×16
= 384 cm³
Therefore, the volume of the given triangular prism is 384 cm³.
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Any help with this one?
The arc of length on the unit circle corresponds to the point (√3, 1) on the unit circle because the unit circle is a circle with a radius of 1, centered at the origin (0, 0).
Why does the arc of length on the unit circle correspond to the point√3 1/22?The arc of length refers to the portion of the circumference of the circle that is covered by the given angle. The circumference of a circle with a radius of 1 is 2π, so the length of the arc is proportional to the angle it covers.When the angle is in radians, the length of the arc is equal to the angle. This means that if we divide the circumference of the circle into 2π equal parts (i.e., radians), the length of one of these parts is equal to 1.So, if the angle covered by the arc is equal to 1 radian, the length of the corresponding arc is equal to 1. This means that the endpoint of the arc lies on the unit circle, at the point that corresponds to the given angle.In this case, if the angle is equal to 1 radian, the endpoint of the arc lies on the unit circle at the point (√3, 1), because this is the point that corresponds to an angle of 1 radian in standard position.To learn more about length of arc refer:
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The Specific Absorption Rate (SAR) for a cell phone measures the amount of radio frequency (RF) energy absorbed by the user’s body when using the handset. Every cell phone emits RF energy. Different phone models have different SAR measures. To receive certification from the Federal Communications Commission (FCC) for sale in the United States, the SAR level for a cell phone must be no more than 1.6 watts per kilogram. A random sample of 20 of the highest SAR level for a random selection of cell phone models as measured by the FCC was collected.
Find a 96% confidence interval for the true (population) mean of the Specific Absorption Rates (SARs) for cell phones. Assume that the population standard deviation is σ = 0.337 and the sample mean is 1.024
With a 96% confidence level, we can be sure that the true population mean of SAR levels for cell phones falls between 0.918 and 1.130.where the critical value falls between 2.492.
We require the sample mean, population standard deviation, and sample size to determine the 96% confidence range for the population mean SAR level of cell phones. The standard error may be determined using a sample mean of 1.024, a population standard deviation of 0.337, and a sample size of 20.
After that, the confidence interval is determined as 1.024 (2.492) × (0.095) = (0.918, 1.130). This suggests that the genuine population mean of SAR values for cell phones falls between 0.918 and 1.130 with a 96% confidence level.
The formula for the 96% confidence interval for the population mean is given by:
Sample mean ± (Critical value) × (Standard error)
Where the critical value is 2.492 for a 96% confidence level and n = 20 degrees of freedom (sample size - 1). The standard error can be calculated as:
Standard error = Standard deviation / √n
Plugging in the given values:
Standard error = 0.337 / √20 = 0.095
The confidence interval is then:
1.024 ± (2.492) * (0.095) = (0.918, 1.130)
So, with a 96% confidence level, we can be sure that the true population mean of SAR levels for cell phones falls between 0.918 and 1.130.
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If a population doubles in size every 13 years, then its geometric rate of increase is lambda =
lambda = Nt+1/N t = finite rate of increase of the population in one time step (often 1 yr). r
How to find geometric rate of increase is lambda?lambda = Nt+1/N t = finite rate of increase of the population in one time step (often 1 yr). r = ln[lambda] = ln[Nt+1/N t] = instantaneous rate of increase; lambda = er , where e = 2.71828 (= natural log or log to the base e).
λ is a constant whose value is determined by the per capita birth rate minus the per capita death rate over discrete time periods.
Lambda is called the finite population growth rate that gives the proportional change in. population size from one time period to the next: λ = Nt+1.
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I NEED HELP ASAP I WILL GIVE OUT 20 POINTS!!! A vertical number line is given.
A vertical number line starting at negative 5.5 with tick marks every one half unit up to positive 1.5. The value negative 3.75 is labeled.
When scuba diving, a student recorded the value plotted in the image. If 0 represents sea level, which of the following is true about the value?
The student is −3.75 ft above sea level, and the absolute value is 3.75 ft.
The student is 3.75 ft above sea level, and the absolute value is 3.75 ft.
The student is −3.75 ft below sea level, and the absolute value is 3.75 ft.
The student is 3.75 ft below sea level, and the absolute value is 3.75 ft.
The student is -3.75 ft below sea level, and the absolute value is 3.75 ft.
The vertical number line starts at negative 5.5 and the tick marks are every one half unit up to positive 1.5. The value negative 3.75 is labeled. Therefore, the student is -3.75 ft below sea level.
The absolute value represents the distance between the plotted value and zero (sea level) without considering the direction (above or below). In this case, the absolute value is 3.75 ft.
4 1/2 divided by 2/5
Answer:
4 1/2 divided by 2/5 equals to 45/4
Simplified : 45/4 = 11 1/4
can somebody help me out? im not sure if this is correct
Answer:
a will be going from -3 to the right
Step-by-step explanation:
a/3 +3 >2
a/3 > -1
a> -3
Find the interval(s) of numbers that are less than a distance of 8 away from 2
Answer:
1, 0, -1, -2, -3, -4, -5, 3, 4, 5, 6, 7, 8, 9
Step-by-step explanation:
The sum of two numbers is −14. One number is 23 more than the other one. Find the numbers.
Answer:
below
Step-by-step explanation:
x = one number
x+23 = second number <======added together the equal -14
x + x+23 = -14
2x = -37
x = -18.5 other number = x+23 = 4.5
IREADY MATH AREA PLS HELP! A rectangle and a circle have the same area.
Which statement describes the length of the rectangle?
-The width of the rectangle is equal to the radius of the circle.
- The radius of the circle is 8
Answer:
The first answer
Step-by-step explanation:
Area of a rectangle
a = l x w
Area of a circle
a = [tex]\pi r^{2}[/tex]
Set them each to each other and substitute 8 for w and for r
l x 8 = [tex]\pi 8^{2}[/tex] We can divide both sides by 8
l = [tex]\pi[/tex]8
If an object is moving in uniform circular motion, its period is given by which one of the following quantities?
The time interval for the object to make one revolution
If an object is moving in a uniform circular motion, its period is given by the time interval for the object to make one revolution.
The movement of a body follows in a circular path is called a circular motion. The motion of a body moving with a constant speed along a circular path is called Uniform Circular Motion.
In the case of uniform circular motion, the acceleration is:
ar=v2/r=ω2r
If the mass of the particle is m, we can say from the second law of motion that:
F=ma
mv2/r= mω2r
With the number of revolutions displacements from the initial point to the final point also changes. As both these factors change velocity also changes. But in that uniform circular motion what remains constant is speed.
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When four coins are tossed simultaneously, In number of the outcomes at two of the cpins will turn up as head? 1 17, 2 28, 3 11, 4 43
The number of the outcomes at two of the coins will turn up as head is 11
What is a combination?In mathematics, a combination or combinations are all the possible groupings that can be made of a given number of elements, without repeating them and regardless of the order in which they are found.
To solve this problem the formula and the combination procedure we must use is:
C(n/r) = n! / [(n-r)! *r!]
Where:
C(n/r) = combinationn = total number of objectsr = number of selected objects! = factorial of the numberInformation about the problem:
Number of outcomes in which 0 coins turns heads = 4C0Number of outcomes in which 1 coins turns heads = 4C1Number of outcomes in which 2 coins turns heads = 4C2Total number of outcomes = 4C0 + 4C1 + 4C2Applying the combination formula we have:
C(n/r) = n! / [(n-r)! *r!]
C(4/2) = 4! / [(4-2)! *2!]
C(4/2) = 4! / [(2)! *2!]
C(4/2) = 4*3*2! / [(2)! *2!]
C(4/2) = 4*3/2!
C(4/2) = 6
C(4/1) = 4! / [(4-1)! *1!]
C(4/1) = 4! / [(3)! *1!]
C(4/1) = 4*3! / [(3)! *1!]
C(4/1) = 4 / [1!]
C(4/1) = 4
C(4/0) = 4! / [(4-0)! *0!]
C(4/0) = 4! / [(4)! * 0!]
C(4/0) = 1
Total number of outcomes = 4C0 + 4C1 + 4C2
Total number of outcomes = 1 + 4 + 6
Total number of outcomes = 11
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With a certain medical insurance policy, the customer must first pay an annual $100 deductible, and then the policy covers 60% of the cost of x-rays. The first insurance claims for a specific year submitted by a person are for two x-rays. The first x-ray cost $, 700 and the second x-ray cost $930. How much, in total, will he need to pay for these x-rays?
The customer must pay a sum of $1,090 for the two x-rays. He will pay the $100 deposit as well as 40% of the x-ray costs ($700 x 0.4 = $280 + $930 x 0.4 = $372). $100 + $280 + $372 = $1,090.
What is an insurance policy?Insurance is a contractual arrangement between two parties - the insurer and the policyholder. It is often referred to as insurance coverage or insurance policy. The insurer primarily offers coverage for the insured's damages that may occur under specified conditions.
Step 1: Determine the deductible amount: $100
Step 2: Determine the coverage amount: 60% of the x-rays' total cost
Step 3: Determine the value of the first x-ray: $700 x 0.6 = $420
Step 4: Determine the cost of the second x-ray: $930 x 0.6 = $558
Step 5: Total the deductible and coverage portions: $100 + $420 + $558 = $1,090
As a result, the user must pay a total of $1,090 for the two x-rays.
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At a school concert the total value of tickets sold was $1506. Student tickets sold for $6 and adult tickets sold for $9. The number of adult tickets sold was 5 less than 3 times the number of student tickets. Find the number of student tickets sold, s, by solving the equation 6s+27s−45=1506
Given that the adult tickets sold were 5 less than 3 times the number of student tickets and adult tickets sold for $9 each, we can set up the equation:
6s + 9(3s - 5) = 1506
This simplifies to:
6s + 27s - 45 = 1506
To find the number of student tickets sold, we can solve this equation for s.
Combining like terms:
33s - 45 = 1506
Adding 45 to both sides:
33s = 1551
Dividing both sides by 33:
s = 46.9
The number of student tickets sold is 46.9.
Please note that this is not an integer and it is not possible to have a fraction of a ticket, therefore it is not accurate.
It means that this solution can't be correct.
Indigo de pot is having a clearance see you there is some atoms a swimsuit that originally cost $140 before the discount he’s on sale for 20% off if the swimsuit is Dan put on clearance for additional 40% off the sale price what is the final price right your answer to the nearest cent
Answer:
The final price of the swimsuit is $84.00.
To calculate the final price, first calculate the original price after the 20% discount:
Original Price x (1 - Discount) = Final Price
$140 x (1 - 0.2) = $112
Then, calculate the final price after the additional 40% discount:
$112 x (1 - 0.4) = $84.00
Find the surface area of the
regular hexagonal prism.
3.5 cm
4 cm
14 cm
you can calculate by following
A coin bank contains $12.45 in quarters and dimes. If there are 16 more dimes than quarters, how many are there of each?
For use in a linear regression model, categorize which of the following variables should be represented as dummy variables and which can be represented as quantitative variables.
Dummy variables:
Ice Clean Flavor, Gender, Shoe Color, Number on an Athlete's Jersey, Ice Cream Flavor
Quantitative Variables:
Time to run a marathon, Flat-Screen TV, Height, Hours Spent Researching Core, Calories in Desserts
A dummy variable, often known as an indicator variable or simply a dummy, is a variable in regression analysis that accepts the values 0 or 1 to signify the lack or presence of a category effect that would be anticipated to change the outcome.
Any variable where the data indicate amounts is referred to be a quantitative variable (e.g. height, weight, or age). Any variable where the data represent groupings is referred to as a categorical variable. This comprises categories (like where people placed in a race), rankings (like cereal brands), and binary results (e.g. coin flips).
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The complete question is:
For use in a linear regression model, categorize which of the following variables should be represented as dummy variables and which can be represented as quantitative variables.
ITEMS
TIME TO RUN A MARATHONSHOE COLORHEIGHTNUMBER ON AN ATHLETE'S JERSEYGENDERSIZE OF FLAT-SCREEN TELEVISIONHOURS SPENT STUDYING COREICE CREAM FLAVORCALORIES IN DESSERTSCATEGORY
Dummy VariablesQuantitative VariablesCan someone help show me the steps to solve these subtraction problems using base five notation
The conversion and subtraction in the decimal base gives;;
a) 12 ten
b) 73 ten
What is the number base?The number base serves as the basis for carrying out a mathematical expression. In this case, we have been told that the number base in which the numbers that have been give are is base five and we are to convert the numbers to the decimal base.
For the first problem, we have;
34 five = 19 ten
12 five = 7 ten
We then have;
19 - 7 = 12 ten
For the second problem;
432 five = 117 ten
134 five = 44 ten
Then;
117 - 44 = 73 ten
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When running a half marathon (13.1 miles), it took Joseph 8 minutes to run from mile marker 1 to mile marker 2, and 19 minutes to run from mile marker 2 to mile marker 4.
a. How long did it take Joseph to run from mile marker 1 to mile marker 4?
b. What was Joseph's average speed as he ran from mile marker 1 to mile marker 4?
c. 69 minutes after starting the race, Joseph passed mile marker 9. To complete the race in 113 minutes, what must Joseph's average speed be as he travels from mile marker 9 to the finish line?
It takes 27min Joseph to run from mile marker 1 to mile marker 4 and the Joseph's average speed as [tex]& \frac{3}{27} \text { miles/min }[/tex], Joseph's average speed be as he travels from mile marker 9 to the finish line is 0.1078.9 miles/min.
(a) - Time taken by Trevor to ran from mile maker 1 to mile makers
time taken by Trevor to ran from mile maker 1 to 2-mile maker.
ran from mile maker 2 to 4.
[tex]$$\begin{aligned}& \text {= } \quad 8+19 \\& =\quad 27 \text { min }\end{aligned}$$[/tex]
(b) Average speed as he ran from mile maker 1 to mile maker 4.
speed = [tex]\frac{\text { distance }}{\text { time }} \\[/tex]
[tex]& =\frac{3 \text { miles }}{27 \text { min }} \\[/tex]
[tex]& =\frac{3}{27} \text { miles/min }[/tex]
(c).
Average speed Trevor to finish race in 113 min.
After 75 min. he passed 9 miles. Still, he have to ran 4.1 mile. [tex]$\left(\begin{array}{c}\text { Total - } 9 \text { miles } \\ 13.1-9 \text { miles }\end{array}\right)$[/tex]
remaining time = 113-75
= 38 min
avg. speed =[tex]\frac{\text { remaining distance }}{\text { remaining time }} \\[/tex]
[tex]& =\frac{4.1}{38}[/tex] miles/min
[tex]& =\frac{41}{380}[/tex] miles/min
=0.1078 .9 miles/min
Therefore, it takes 27min Joseph to run from mile marker 1 to mile marker 4 and the Joseph's average speed as [tex]& \frac{3}{27} \text { miles/min }[/tex], Joseph's average speed be as he travels from mile marker 9 to the finish line is 0.1078.9 miles/min.
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W, R, and S are points on a number line, and W
coordinates given, find the coordinate of the th
1. R = 4, S = -6
2
W =
10
A addition to a large number line is indeed a diagram of a graduated single direction used to represent real numbers in introductory mathematics.
What does a math number line mean?2 November 2020 A horizontal line with evenly spaced numerical increments is referred to as a number line. How the number just on line could be answered depends on the numbers present. The use of the number is determined by the question that it corresponds to, such as when a point.graphing
The midpoint is indeed the "average" of a two numbers, so for the first: (4 + (-6))/2 = -2/2 = -1 for such second,
you are provided the "average," so choose one of the ends as x, multiplying by 2 to get 2+x = -8 and x = -10.
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3 Coffee 5.85
1 Diet Bev. – lg. 3.38
1 Sparkling Water 2.50
3 Ranch Chicken Sandwich 44.97
1 Classic Burger 12.95
1 Thai Stir-fry Special 11.50
2 Club Sandwich 22.98
Subtotal 104.13
Tax (13%) 13.54
Total 117.67
5. The students should not have been charged for the two club sandwiches that
appear on the bill. How much should be subtracted from the bill, including
taxes?
Been stuck on this for already an hour. I need a hero..
Answer:
h + 4
Step-by-step explanation:
given
f(x) = x² - 2x + 1
then
f(3 + h)
= (3 + h)² - 2(3 + h) + 1 ← expand (3 + h)² using FOIL
= 9 + 6h + h² - 6 - 2h + 1 ← collect like terms
= h² + 4h + 4
and
f(3) = 3² - 2(3) + 1 = 9 - 6 + 1 = 4
then difference quotient
[tex]\frac{f(3+h)-f(3)}{h}[/tex]
= [tex]\frac{h^2+4h+4-4}{h}[/tex]
= [tex]\frac{h^2+4h}{h}[/tex] ← factor out h from each term on the numerator
= [tex]\frac{h(h+4)}{h}[/tex] ← cancel h on numerator/ denominator
= h + 4
a) Jim catches the 12 21 train from Preston. He arrives in Nuneaton 7 minutes late. What time does he arrive in Nuneaton?
b) How long is Jim's journey from Preston to Nuneaton? Give your answer in minutes. c) Vikram catches the 08 40 train from Preston. He arrives in Nuneaton on time. He attends a job interview. He gets back to Nuneaton station 3 hours and 30 minutes later. Is he back in time to catch the 13 54 train to Milton Keynes? You must show your working. Show your working + minute Yes/N
A. He arrives at Nuneaton at 14:01; B. The trip was 100 minutes. C. Vikram will not be on time to catch the train.
What time does Jim arrive in Nuneaton?Based on the table, Jum should have arrived at 13:54; however, we know he was 7 minutes late. Then, let's calculate the time:
13:54 + 7 minutes = 14:01
How long was the trip?Let's calculate the time using the arrival and departure times:
14:01 - 12:21 = 100 minutes considering there are 39 minutes till 13:00 and 61 minutes until 14:01 (39+61 = 100)
Can Virkam catch the 13:54 train?Vikram arrived on time in Nuneaton, which means he arrived at 10:28 and then, he was there for 3 hours and 30 minutes:
10:28 + 3:30 = 13:58
This shows he will not be on time to catch the 13:54 train
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stuck on this
4x+5x-2=-2(8-x) x=
Answer: x = -2.
X is negative 2.
Solving an equation with variables on both sides:
Isolate for the variable - get the variables together on one side of the equation and get integers on the other side of the equationuse inverse operations to do so1. expand to get rid of the parenthesis
[tex]4x+5x-2=-16+2x[/tex]
2. combine like terms
[tex]9x-2=-16+2x[/tex]
3. use inverse operations to get variable terms on one side and the integer term on the other side
[tex]9x-2x-2+2=-16+2x-2x+2[/tex]
moving -2 and +2x we need to add and subtract them from their respective sides of the equation4. combine like terms
[tex]7x=-14[/tex]
5. isolate for x
[tex]x=\frac{-14}{7}[/tex]
x= [tex]x=-2[/tex]
pls help me with this
The midline of function be 5 , an amplitude of 4 and a period of 3/2 then the sine function be y = 4 sin (4π/3 x) + 5.
What is meant by sine function?The ratio of the opposing side's length to the hypotenuse of a right-angled triangle is known as the sine function in trigonometry. A right triangle's unknown sides or angle can be determined using the sine function.
The ratio of the lengths of the opposing side and the hypotenuse of a right-angled triangle is known as the sine function in trigonometry. Use the sine function to calculate the unknown side or angles of a right triangle.
The sine of the angle is the ratio of the hypotenuse to the perpendicular of a right-angled triangle. The formula for sin is sin = Perpendicular / Hypotenuse.
General sine function a sin b (x - c) + d
amplitude = absolute value of a
b = 2π / period
c = phase shift (horizontal shift)
d = vertical shift (midline is y = d)
Here a = 4, d = 5, and b = 2π / (3/2) = 4π/3, c = 0
Therefore, the sine function be y = 4 sin (4π/3 x) + 5,
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Dave opened a savings account and deposited $300.00 as principal. The account earns 3%
interest, compounded annually. What is the balance after 2 years?
nt
Use the formula A = P1+ 1)^, where A is the balance (final amount), P is the principal
(starting amount), r is the interest rate expressed as a decimal, n is the number of times per
year that the interest is compounded, and t is the time in years.
Round your answer to the nearest cent.
s
Submit
The balance after 2 years is $318.27
what is compound interest?
Interest that is added to a loan or deposit sum is known as compound interest. In our daily lives, it is the notion that is employed the most frequently. Compound interest is calculated for a sum using the principal and interest accrued over time. Compound interest and simple interest differ primarily in this way.
[tex]A=P{(1 +\frac{r}{n})^{nt}[/tex]
A = total amount
P = principal or amount of money deposited,
r = annual interest rate
n = number of times compounded per year
t = time in years
[tex]A=300{(1 +\frac{0.03}{1})^{1(2)}[/tex]
A=300(1.003)² = 318.27
The balance after 2 years is $318.27
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