Answer:
Answer is C.
Step-by-step explanation:
from 1-50, How many
Of them are perfect
numbers:
Answer:
2 of them are perfect numbers and they are 6 and 28
Step-by-step explanation:
because they are one of the first 5 perfect numbers!
Hope this helps :)
A student has a penny, nickel, dime, and a quarter. She flips them all simultaneously and checks for heads or tails. What is the probability that all four coins will come up heads
Answer:
1/ 16
Step-by-step explanation:
Flipping a coin = HT ( 2 possibilities)
Hence, total possibility (n) of flipping 4 coins
n = 2^4 = 2 * 2 * 2 * 2 = 16 possible outcomes
(HHHH, THHH, HHHT, THHT, HHTH, THTH, HHTT, THTT, HTHH, TTHH, HTHT, TTHT, HTTH TTTH, HTTT, TTTT
Probability (A) = required outcomes of A / total possible outcomes
Hence, probability that all coins comes up head :
Number of required outcome = 1
Total possible outcomes = 16
Hence,
P(all heads) = 1/16
Using the binomial distribution, it is found that there is a 0.0625 = 6.25% probability that all four coins will come up heads.
For each coin, there are only two possible outcomes, either it is heads, or tails. The outcome of each coin is independent of other coins, hence, the binomial distribution is used to solve this question.
What is the binomial probability distribution formula?The formula is:
\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)
\(C_{n,x} = \frac{n!}{x!(n-x)!}\)
The parameters are:
x is the number of successes.n is the number of trials.p is the probability of a success on a single trial.In this problem:
A coin is equally as likely to come heads or tails, hence \(p = 0.5\).The student has 4 coins, hence \(n = 4\).The probability that all four coins will come up heads is P(X = 4), hence:
\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)
\(P(X = 4) = C_{4,4}.(0.5)^{4}.(0.5)^{0} = 0.0625\)
0.0625 = 6.25% probability that all four coins will come up heads.
You can learn more about the binomial distribution at https://brainly.com/question/24863377
A coin is flipped 20 times. It lands on Tails 12 times. What is the experimental probability of landing on Tails?
0.2
0.4
0.5
0.6
Answer:
0.6
Step-by-step explanation:
Answer:
0.2 I think
Step-by-step explanation:
Meade gave 1/7 of a candy bar to Max and then ate 2/5 of the candy bar himself. What fraction of the candy bar is left?
There is ______ of the candy bar left
Let's break this problem into a few steps:
First, Meade gave 1/7 of candy to Max⇒ Amount of Candybar: Candy - (1/7)Candy = (6/7)Candy
Second, Meade ate 2/5 of the candy⇒ Amount of Candy left:
Total amount of candy - (2/5) * Total amount of candy
= (6/7) Candy - (2/5) *(6/7)Candy
= (1 - (2/5)) * (6/7) Candy
= 3/5 * 6/7 = 18/35 Candy
Thus there is 18/35 of the candy left.
4.5.
10.
A map has a scale of 1:4000
On the map, the distance between two houses is 9cm.
What is the actual distance between the houses?
Give your answer in metres.
Answer
One unit of length on the plan represents some number of same units of length on the ground,such as 1/1000,etc.
This Ratio of map distance to the corresponding ground distance is independent of units of measurement and is called representative fraction (R.F.).
The representative fraction can be very easily found for a given engineer’s scale.
The scale of a map is given as= 1:4000
If the scale is,
R.F.= 1:4000
=1/4x 10x100
1cm=40m
Two places are 9 cm apart on the map.
the actual distance between two places
=4x 90
=360 m
=360/1000 Km
=0.36 Km
Given: Line segment AC and line segment BD intersect at O.
Prove: ZAOB ZCOD
Since line segment AC and line segment BD intersect at O, ZAOB is supplementary to ZBOC and ZBOC is supplementary to
ZCOD by the linear pair theorem.
Which statement and reason best completes the proof?
ZCOD.
ZCOD.
By the congruent supplements theorem, ZAOB
By the substitution property of equality, ZAOB
By the congruent complements theorem, ZAOBZCOD.
By the subtraction property of equality, ZAOB ZCOD.
By the substitution property of equality, ∠AOB ≅ ∠COD. Then the correct option is B.
What is an angle?The inclination is the separation seen between planes or vectors that meet. Degrees are another way to indicate the slope. For a full rotation, the angle is 360°.
Supplementary angle - Two angles are said to be supplementary angles if their sum is 180 degrees.
Given: Line segment AC and line segment BD intersect at O.
Prove: ∠AOB ≅ ∠COD
By the supplementary angles property, the equations are given as,
∠AOB + ∠BOC = 180° .....1
∠BOC + ∠COD = 180° ....2
By the substitution property of equality, ∠AOB ≅ ∠COD. Then the correct option is B.
More about the angled link is given below.
https://brainly.com/question/15767203
#SPJ1
Answer: By the congruent complements theorem
Step-by-step explanation: I took the test
7).
2. Hot Text: For each graph, choose the correct sentence to describe the graph.
The graph represents a proportional relationship.
The graph does not represent a proportional relationship.
a. The graph represents a proportional relationship.
b. The graph does not represent a proportional relationship.
c. The graph does not represent a proportional relationship.
d. The graph represents a proportional relationship.
What is a proportional relationship?A proportional relationship is a relationship in which a constant ratio between the output variable and the input variable exists.
The equation that defines the proportional relationship is a linear function with slope k and intercept zero presented as follows:
y = kx.
Hence graphs a and d represent proportional relationship, as they have intercepts at the origin.
A similar problem, also featuring proportional relationships, is presented at https://brainly.com/question/7723640
#SPJ1
Josiah ate dinner at a restaurant and his bill was $15.75. He wanted to leave a 15% tip. How much tip did he leave?
Group of answer choices
$2.36
$18.11
$1.50
$0.15
Hence, He had to pay $ 18.11 for the tip on a restaurant bill.
A value or ratio that may be stated as a fraction of 100 is referred to as a percentage in mathematics. If we need to calculate a percentage of a number, we should divide it by its entirety and then multiply it by 100. The proportion, therefore, refers to a component per hundred. Per 100 is what the word percent means. The letter "%" stands for it.
Josiah ate dinner at a restaurant and his bill was $15.75,
He wanted to leave 15% tip,
Then He had to pay,
=15.75+15 % of 15.75
=15.75 + 0.15*15.75
=18.11
Hence, He had to pay $ 18.11 for tip on the restaurant bill.
learn more about percentage
https://brainly.com/question/26080842
#SPJ1
In the following diagram,
What is the measure of
∠x
Answer:
Step-by-step explanation:
BAD = 42
x + 103 + 42 = 180
x = 180 - 145
x = 35
A manufacturer must test that his bolts are 4.00 cm long when they come off the assembly line. He must recalibrate his machines if the bolts are too long or too short. After sampling 121 randomly selected bolts off the assembly line, he calculates the sample mean to be 4.21 cm. He knows that the population standard deviation is 0.83 cm. Assuming a level of significance of 0.02, is there sufficient evidence to show that the manufacturer needs to recalibrate the machines? Step 2 of 3: Compute the value of the test statistic. Round your answer to two decimal places.
The sample mean of 4.21 cm is significantly different from the specified target mean of 4.00 cm.
Step 1: State the hypotheses.
- Null Hypothesis (H₀): The mean length of the bolts is 4.00 cm (μ = 4.00).
- Alternative Hypothesis (H₁): The mean length of the bolts is not equal to 4.00 cm (μ ≠ 4.00).
Step 2: Compute the value of the test statistic.
To compute the test statistic, we will use the z-test since the population standard deviation (σ) is known, and the sample size (n) is large (n = 121).
The formula for the z-test statistic is:
z = (X- μ) / (σ / √n)
Where:
X is the sample mean (4.21 cm),
μ is the population mean (4.00 cm),
σ is the population standard deviation (0.83 cm), and
n is the sample size (121).
Plugging in the values, we get:
z = (4.21 - 4.00) / (0.83 / √121)
z = 0.21 / (0.83 / 11)
z = 0.21 / 0.0753
z ≈ 2.79 (rounded to two decimal places)
Step 3: Determine the critical value and make a decision.
With a level of significance of 0.02, we perform a two-tailed test. Since we want to determine if the mean length of the bolts is different from 4.00 cm, we will reject the null hypothesis if the test statistic falls in either tail beyond the critical values.
For a significance level of 0.02, the critical value is approximately ±2.58 (obtained from the z-table).
Since the calculated test statistic (2.79) is greater than the critical value (2.58), we reject the null hypothesis.
Conclusion:
Based on the computed test statistic, there is sufficient evidence to show that the manufacturer needs to recalibrate the machines. The sample mean of 4.21 cm is significantly different from the specified target mean of 4.00 cm, indicating that the machine's output is not meeting the desired length. The manufacturer should take action to recalibrate the machines to ensure the bolts meet the required length of 4.00 cm.
for more such question on mean visit
https://brainly.com/question/1136789
#SPJ8
Quizziz help 9th grade please thx
I WILL GIVE BRAINLIEST, square root of x, find the domain of x
The domain for the square root function is the set of all whole numbers
Calculating the domain of the square root functionFrom the question, we have the following parameters that can be used in our computation:
Function type = square root function
Equation: square root of x
This means that
f(x) = √x
The domain for x in the function is the set of input values the function can take
In this case, the square root function can take any whole number as its input
This means that the domain for f(x) is the set of all whole number
Read more about domain at
https://brainly.com/question/30808234
#SPJ1
Una sala de cine de New York vende las entradas para niños a 3 dólares y las de los adultos a 5 dólares. Si para ver una película pueden ingresar tanto niños como adultos y en un día
ingresan 345 espectadores, recaudando por concepto de venta de boletas 1365 dólares. Se
puede afirmar que el número de niños y adultos que ingresaron fue:
A la sala de cine ingresaron 180 niños y 165 adultos.
¿Cuántos niños y adultos ingresaron a una sala de cine?
De acuerdo con el enunciado, la sala de cine tiene capacidad para 345 espectadores y cobra 3 dólares por cada niño y 5 dólares por cada adulto. Asimismo, esta sala tiene un recaudo diario de 1365 dólares. La situación puede ser sintetizada en la siguiente ecuación algebraica:
3 · x + 5 · (345 - x) = 1365
Donde x es el número de niños que asistieron a la sala de cine.
Ahora despejamos la variable correspondiente mediante propiedades algebraicas:
3 · x + 1725 - 5 · x = 1365
1725 - 2 · x = 1365
2 · x = 1725 - 1365
2 · x = 360
x = 180
Ahora, el número de adultos es:
y = 345 - 180
y = 165
Para aprender más sobre ecuaciones algebraicas: https://brainly.com/question/20307002
#SPJ1
Plss answer
i will give brainliest
Answer:
sorry im doing a challenge but i will have someone answer it
Step-by-step explanation:
What is an example of "an enumeration of its range {aξ : ξ < α}"?
An example of "an enumeration of its range {aξ : ξ < α}" in this case would be the list of natural numbers {0, 1, 2, 3, ...}, which represents the ordinal numbers less than ω^2.
How to determine an example of "an enumeration of its range {aξ : ξ < α}"An example of "an enumeration of its range {aξ : ξ < α}" can be found in the context of ordinal numbers.
Let's consider the ordinal number α = ω^2, where ω represents the first infinite ordinal (the set of all natural numbers). In this case, the range {aξ : ξ < α} refers to the collection of all ordinal numbers that are less than α.
The ordinal numbers less than ω^2 can be enumerated as follows:
a0 = 0
a1 = 1
a2 = 2
...
an = n
...
Each natural number n corresponds to an ordinal number less than ω^2. The enumeration continues indefinitely, as there are infinitely many ordinal numbers less than ω^2.
So, an example of "an enumeration of its range {aξ : ξ < α}" in this case would be the list of natural numbers {0, 1, 2, 3, ...}, which represents the ordinal numbers less than ω^2.
Learn more about range at https://brainly.com/question/26098895
SPJ1
Which expressions represent the statement “three minus the product of seven and four”? Mark all that apply.
A 3 - (7 x 4)
B (7 x 4) - 3
C 3 - (4 / 7)
D 3 - (4 x 7)
E (7 x 4) - 3
The statement three minus the product of seven and four is given by the expression 3 - (7 * 4)
What is an equation?An equation is an expression used to show the relationship between two or more numbers and variables.
Given the statement three minus the product of seven and four, this is an expression:
3 - (7 * 4)
The statement three minus the product of seven and four is given by the expression 3 - (7 * 4)
Find out more on equation at: https://brainly.com/question/2972832
For function f(x) = 3x-2
and g(x)=x², workout
fg(x)
For the function f( x) = 3x- 2 and g( x) = x2, the workout fg( x) is 3x2- 2.
What is function?
A function in mathematics from a set X to a set Y allocates exactly one element of Y to each element of X. The sets X and Y are inclusively appertained to as the function's sphere and codomain, independently. originally, functions represented the idealized relationship between two changing amounts.
A formula, rule, or legislation that specifies how one variable( the independent variable) and another variable are related( the dependent variable).
Four orders of functions live functions with return values and arguments.
This function accepts arguments and gives back a result.
functions that take arguments but have no return values.
functions with return values and no arguments.
functions that have no arguments or return values.
we are given two function f( x) and g( x);
f( x) = 3x- 2 and
g( x) = x2
So, for fg( x), we've to put value of g( x) into f( x);
Hence, the equation will be;
fg( x) = 3x2- 2.
thus, for the function f( x) = 3x- 2 and g( x) = x2, the fg( x) is 3x2- 2.
Learn more about function click here:
brainly.com/question/11624077
#SPJ1
A rectangular field is 0.35 kilometers long and 0.2 kilometers wide. What is the area of the field in square meters?
I need step-by step work?
The area of the rectangular field is 70000 square m if the rectangular field is 0.35 kilometers long and 0.2 kilometers wide.
What is the area of the rectangle?It is defined as the area occupied by the rectangle in two-dimensional planner geometry.
The area of a rectangle can be calculated using the following formula:
Rectangle area = length x width
Area of rectangle = 0.35x0.2 = 0.07 square km
1 km = 1000 m
1 square km = 1000000 square m
Area of rectangle = 0.07x1000000 square m
Area of rectangle = 70000 square m
Thus, the area of the rectangular field is 70000 square m if the rectangular field is 0.35 kilometers long and 0.2 kilometers wide.
Learn more about the rectangle here:
https://brainly.com/question/15019502
#SPJ2
There are 26 boys and 20 girls in a class.
The boys and the girls have some counters.
The mean number of counters that the boys have is 28.
The mean number of counters that the girls have is 19.
Work out the mean number of counters the 46 children have.
Computing the total number of counters in the class as 1,108, the mean number of counters that the 46 children have is 24.
What is the mean?The mean refers to the average value.
The average is the quotient of the total value divided by the number of items in the data set.
The number of boys in the class = 26
The number of girls in the class = 20
The total number of boys and girls in the class = 46
The mean number of counters that the boys have = 28
The total number of counters that the boys have = 728 (28 x 26)
The mean number of counters that the girls have =19
The total number of counters that the girls have = 380 (19 x 20)
The total number of counters that the class has = 1,108 (728 + 380)
The average or mean number of counters in the class = 24 (1,108 ÷ 46)
Learn more about the average at https://brainly.com/question/130657.
#SPJ1
(5/8 - 1/2) x 5/6 =
Final answer in the form a/b
Answer:
5/48
Step-by-step explanation:
(5/8 - 1/2) x 5/6
(5/8 - 4/8) x 5/6
1/8 x 5/6
5/48
Answer:
\(\dfrac{5}{48}\)
Step-by-step explanation:
\(\left(\dfrac{5}{8} - \dfrac{1}{2}\right) \times \dfrac{5}{6}\)
First, represent 1/2 as 4/8.
\(\dfrac{1}{2} \times \dfrac{4}{4} = \dfrac{4}{8}\)
\(\left(\dfrac{5}{8} - \dfrac{4}{8}\right) \times \dfrac{5}{6}\)
Then, simplify the subtraction.
\(\dfrac{1}{8} \times \dfrac{5}{6}\)
Finally, multiply the numerators and denominators of the resulting fractions.
\(\dfrac{1 \times 5}{8 \times 6}\)
\(\dfrac{5}{48}\)
Please help I been stuck on this question for so long
Answer: 1/ 3 ^9
Step-by-step explanation:
Answer:
1/39
Step-by-step explanation:
3-9=1/39
The answer is 0ne over three exponent nine
A figure is located at (2,0), (2,-2) and (6,0)
The diagram shows a scale drawing of the
side elevation of a building.
3 cm represents 1 m.
What is the width of the building in metres?
(Give your answer in meters).
Answer:
The answer for the width of the building is 5m
Step-by-step Explanation:
3cm=1m
15cm=x
cross multiply
x×3=15×1
3x=15
divide both sides by 3
3x/3=15/3
x=5m
D(5, 7), E(4, 3), and F(8, 2) form the vertices of a triangle. What is mZDEF?
Answer: \(m\angle DE F=90^{\circ}\)
Step-by-step explanation:
The slope of \(DE\) is \(\frac{7-3}{5-4}=4\).
The slope of \(EF\) is \(\frac{3-2}{4-8}=-\frac{1}{4}\).
Thus, \(DE \perp EF\), meaning \(m\angle DE F=90^{\circ}\).
let C be the curve y=5sqrtx for 1.1
We can integrate this S = 2π ∫(1.1 to 4.4) (5√(4x + 25))/(2√x) dx over the given interval (1.1 to 4.4) to find the surface area.
We can evaluate the integral using numerical methods or a calculator to find the final answer.
We have,
To find the surface area of the revolution about the x-axis of the function f(x) = 5√x over the interval (1.1 to 4.4), we can use the formula for the surface area of revolution:
S = ∫(a to b) 2πy√(1 + (f'(x))²) dx
In this case,
f(x) = 5√x, so f'(x) = (d/dx)(5√x) = 5/(2√x).
Let's calculate the surface area:
S = ∫(1.1 to 4.4) 2π(5√x)√(1 + (5/(2√x)²) dx
Simplifying the expression inside the integral:
S = ∫(1.1 to 4.4) x 2π(5√x)√(1 + 25/(4x)) dx
Next, we can integrate this expression over the given interval (1.1 to 4.4) to find the surface area.
To find the surface area of revolution about the x-axis of the function
f(x) = 5√x over the interval (1.1 to 4.4), we need to evaluate the integral:
S = ∫(1.1 to 4.4) 2π(5√x)√(1 + 25/(4x)) dx
Let's calculate the integral:
S = 2π ∫(1.1 to 4.4) (5√x)√(1 + 25/(4x)) dx
To simplify the calculation, let's simplify the expression inside the integral first:
S = 2π ∫(1.1 to 4.4) (5√x)√((4x + 25)/(4x)) dx
Next, we can distribute the square root and simplify further:
S = 2π ∫(1.1 to 4.4) (5√(4x + 25))/(2√x) dx
Thus,
We can integrate this expression over the given interval (1.1 to 4.4) to find the surface area.
We can evaluate the integral using numerical methods or a calculator to find the final answer.
Learn more about the surface area of revolutions here:
https://brainly.com/question/32268747
#SPJ1
Tax Year 2021, the de minimis safe harbor election allows taxpayers with business or investmnt property income to claim an automatic deduction for property that does not exceed a threshold amount. For each item or invoice, the threshold is ______ if they have appropriate accounting procedures in place.
Mrs alvares rents skis and poles for 3 days what is the total cost of rental
The total cost of rents is $180.
In the given table,
The cost of skis per day = $48
The cost of pole per day = $12
Now since given that,
Alveres rents for 3 days
Therefore,
The cost of skis for 3 days = $48 x 3
= $144
The cost of pole for 3 days = $12 x 3
= $36
To find the total cost of rental,
Adding the cost of 3 days of skis and cost of 3 days of poles,
Hence,
Total cost of rents = $144 + $36
= $180
Learn more about the addition visit:
https://brainly.com/question/25421984
#SPJ1
What is the perimeter of the triangle?
Answer:
37
Step-by-step explanation:
What the range of u(x)= -2x squr + 3
Answer:
(-infinity, infinity)
Step-by-step explanation:
sqrt(x + 3) {or just sqrt(x)} has the range [0, infinity).
-2 has the range (-infinity, 0]
Thus the range of u(x) is (-infinity, infinity)
Which expression is NOT equivalent to the expression 8m + 12?
A - 1/2 (16m + 24)
B - 4 (2m + 3)
C - 2 (4m + 6)
D - 8 (m +12)
9514 1404 393
Answer:
D. 8 (m +12)
Step-by-step explanation:
One cannot factor the coefficient from the first term and apply that to both terms. The result is NOT equivalent.
8m +12 ≠ 8(m +12) = 8m +96