Using the binomial distribution, it is found that:
The probability of no correct answers is 0.1678 = 16.78%.
For each question, there are only two possible outcomes, either it is answered correctly, or it is not. The answer of a question is independent of any other question, thus the binomial distribution is used to solve this question.
What is the binomial distribution formula?The formula for the probability of x successes is:
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
The parameters are given by:
n is the number of trials of the experiment.p is the probability of a success on a single trial of the experiment.In the context of this problem, considering the number of questions and the probability of each being answered correctly, the parameters are given as follows:
n = 8, p = 0.2.
The probability of no correct answers is P(X = 0), hence:
P(X = 0) = (0.8)^8 = 0.1678.
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Write the equation of the line that passes through points (-2,0) and (3,4) in point-slope form.
Answer:
y-0 = [tex]\frac{4}{5}[/tex](x +2)
or
y - 4 = [tex]\frac{4}{5}[/tex](x -3)
These both mean the same thing.
Step-by-step explanation:
First, we have to find the slope. The slope is the change in y over the change in x.
Our y's are 4 and 0 and your x's are 3 and -2
[tex]\frac{4-0}{3- - 2}[/tex] = [tex]\frac{4-0}{3+2}[/tex] = [tex]\frac{4}{5}[/tex]
Now that we have the slope, we can use either point to write the eqation.
If we use point (-2,0)
The equation is
y - [tex]y_{1}[/tex] == m(x -[tex]x_{1}[/tex]
y - 0 = [tex]\frac{4}{5}[/tex] (x - -2)
y - 0 = [tex]\frac{4}{5}[/tex](x +2)
If we use the point (3,4)
y-4 = [tex]\frac{4}{5}[/tex](x -3)
Select the values that make the inequality y < 4 true.
(Numbers written in order from least to greatest going across.) .
Answer:
-4 -1 1 3.9 3.99
Step-by-step explanation:
The number can be anything that is less than the number 4.
Hope this helps! :)
The values which satisfy the inequality y < 4 are - 4, - 1, 1, 3, 3.9. 3.99, 3.999.
What are inequalities and their types?Inequality is a relation that compares two numbers or other mathematical expressions in an unequal way.
The symbol a < b indicates that a is smaller than b.
When a > b is used, it indicates that a is bigger than b.
a is less than or equal to b when a notation like a ≤ b.
a is bigger or equal value of an is indicated by the notation a ≥ b.
An inequality y < 4 is given.
This states that the variable y is strictly less than 4 it could be 3.999999.. but not 4.
Then the value that makes the inequality true are,
- 4, - 1, 1, 3, 3.9. 3.99, 3.999,
If the inequality was y ≤ 4 then 4 could have included 4 only but not 4.001.
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Please Help Geometry
Answer:
your answer is correct
Step-by-step explanation:
since the quadrilaterals are similar then corresponding angles are congruent.
∠ NKL ≡ ∠ ZWX ≠ ∠ YZW ← not true
∠ LMN ≡ ∠ XYZ ≠ ∠ ZWX ← not true
--------------------------------------------------
the ratios of corresponding sides are in proportion , that is
[tex]\frac{KL}{MN}[/tex] = [tex]\frac{WX}{YZ}[/tex] ← true
[tex]\frac{kl}{yz}[/tex] = [tex]\frac{LM}{XY}[/tex] ≠ [tex]\frac{LM}{ZW}[/tex] ← not true
Answer:
Your answer is correct!
Step-by-step explanation:
I'm just answering so you can give the other person brainliest <3
Which of the following is equivalent to 57x + 19y + 5x?
57x + 24xy
57x + 5x + 19y
57x(19y + 5x)
5x(57x + 19y)
HELP PLS ASAP
Answer:
57x + 5x + 19y by the commutative property for addition.
A small business published a report with the equivalent hourly wages of all their employees. select the box plot that represents the given data. all values are in $ per hour. 13, 14, 14, 15, 15, 15, 15, 16, 16, 16, 16, 17, 17, 17, 29, 48
Answer: .
Step-by-step explanation:
Select the correct answer.
Which expression is equivalent to this polynomial?
4x²²+27
A.(2x + 3√/3i)(2x - 3√/3i)
B.(2x + 9) (2z -3i)
C. (2x + 3√3)²
D.(2x + 3√3)(2x - 3√/3)
None of the expressions is equivalent to the given polynomial.
What is a polynomial?
A polynomial is a mathematical statement that solely uses the operations of addition, subtraction, multiplication, and positive-integer powers of variables. It is made up of indeterminates (also known as variables) and coefficients. Numerous branches of mathematics and science use polynomials. For instance, they are used to define polynomial functions, which show up in contexts ranging from basic chemistry and physics to economics and social science, and they are used in calculus and numerical analysis to approximation other functions. Polynomial equations are used to encode a wide range of problems, from simple word problems to complex scientific problems. In higher mathematics, polynomials are used to build algebraic varieties and polynomial rings, two fundamental ideas in algebra and algebraic geometry.
None of the given expressions is equivalent to the given polynomial.
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Find the distance between two numbers on a number line. Write your answer as a decimal-2.2,8.4 the distance between two numbers is
The distance between these two numbers on a number line is equal to -10.6.
What is a number line?A number line can be defined as a type of graph with a graduated straight line which contains both positive and negative numbers (numerical values) that are placed at equal intervals along its length.
In Mathematics, a number line can be used to determine the difference between two numbers such as -2.2 and 8.4. Also, a number line typically increases in numerical value towards the right and decreases in numerical value towards the left.
Now, we can determine the distance by taking the difference between both values as follows:
Distance = -2.2 - 8.4
Distance = -10.6.
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The distance between Town A and Town
B on a map is 15.6 cm. If the scale is 1 cm =
12 miles, what is the actual distance
between towns?
Answer:
187.2
Step-by-step explanation:
if the scale is 1:12 then you would need to multiply 12 by the 15.6 which gets you 187.2 miles.
Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s).
Find the product. Write your answer as a mixed number in simplest form.
5 × 2 =
=
Answer: 9 755/9
Step-by-step explanation:
given- a statement
to find-evaluate
soulition-
4 2/9 x 2 4/9
38/9 x 22/9
836/81
9 755/9
3. Consider drawing a hand of five cards. What is the probability that:
a. The first card is a king.
The probability that the first card is a king is 0.08.
Which is probability?
Probability is a synonym for potential. It is a field of mathematics that examines how random events happen. From zero to one, the value is stated. To forecast the likelihood of events, probability has been introduced in mathematics. The likelihood that something will occur is essentially what is meant by probability. This is the fundamental theory of probability, which is also used to calculate the probability distribution, and it is from it that you will discover the likelihood of various outcomes in a random experiment.
A deck of cards contains 52 cards.
Sample space = 52
there are 4 kings in a deck of cards.
Therefore the probability that the first card is a king = 4/52
=0.0769 approximately = 0.08
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PLEASE HELP ME ASAP
Answer:
C is the correct graph.
Step-by-step explanation:
Since (0, 0) satisfies the inequality, we draw a dashed line and then shade in the region that has the origin.
Work out the area of the triangle (my drawing is bad it isn’t a 90° angle)
The area of the given triangle in the diagram is 11.83[tex]cm^{2}[/tex]
Given triangle ABC. Let AB=x, BC=y, CA=z
We use Heron's formula when asked to find the area of a triangle and the measures of the sides are given only. According to Heron's formula,
Area of a triangle[tex]=\sqrt{s(s-x)(s-y)(s-z)}[/tex] where s is the semi-perimeter of the triangle given by [tex]s=\frac{x+y+z}{2}[/tex] and x,y,z are the measures of the three sides of the triangle
According to the diagram of the triangle AB=x=8 cm, BC=y=3 cm,
CA= z= 9 cm
∴Semi-perimeter [tex]s=\frac{8+3+9}{2}=10 cm[/tex]
∴Area of the triangle[tex]=\sqrt{10(10-8)(10-3)(10-9)}=\sqrt{10*2*7*1}=2\sqrt{35}=11.83 cm^{2}[/tex]
Therefore the area of the triangle ABC is 11.83[tex]cm^{2}[/tex]
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help me please help me
Step-by-step explanation:
it is very similar to do the manual division of numbers.
5x² - 18x - 15 ÷ x - 4 =
so, we are starting on the left, dividing 5x² by x.
5x²/x = 5x
5x² - 18x - 15 ÷ x - 4 = 5x
then we multiply (x - 4) by 5x and subtract the result from the left part. and then we pull down the next term
5x² - 18x - 15 ÷ x - 4 = 5x
- 5x² -20x
---------------
0 2x - 15
and again, we take the left term and divide by x :
2x/x = 2
5x² - 18x - 15 ÷ x - 4 = 5x + 2
and again we multiply (x - 4) by 2 and subtract the result. and, if there still is one, we pull down the next term.
5x² - 18x - 15 ÷ x - 4 = 5x + 2
- 5x² -20x
---------------
0 2x - 15
- 2x - 8
--------------------
0 -7
there is no more term to pull down, so we are finished.
there is a remainder in the last line unequal to 0.
this becomes therefore -7/(x - 4).
so, the total result is
(5x² - 18x - 15) ÷ (x - 4) = 5x + 2 - 7/(x - 4)
2.
the same thing. we are now dividing the left terms by 3x, and then multiply that result every time with (3x - 2), subtract this abd pull the next term down until there is no more term to be pulled.
6x³ - 16x² + 17x - 6 ÷ 3x - 2 = 2x² - 4x + 3
- 6x³ - 4x²
---------------
0 -12x² + 17x
- -12x² + 8x
-----------------------
0 9x - 6
- 9x - 6
----------------------------
0 0
there is no remainder in the last line, so the result is
(6x³ - 16x² + 17x - 6) ÷ (3x - 2) = 2x² - 4x + 3
suppose that kellogg believes that the average weight for a box of frosted flakes is 18 ounces. as part of a quality control effort, they sample 30 boxes and find that the mean of those 30 boxes is 18.2 ounces. historical records show that the standard deviation of the filling process is 0.32 ounces. how likely is it for the sample mean to have been 18.2 ounces or larger if the actual mean is 18 ounces and the standard deviation of the filling process is 0.32 ounces? round your answer to four decimal places.
Answer:
18.34
Step-by-step explanation:
18.2
0.32 so
18.2+0.32=18.34
Rotate point P counterclockwise about the origin by the given angle. State the coordinates of P'.
P(4,2); 90°
Check the picture below.
For f(x) = √x and g(x) = x + 9, find the following functions.
a. (f o g)(x) =
(Simplify your answer.)
b. (g o f)(x) =
(Simplify your answer.)
c. (f o g)(7) =
(Simplify your answer.)
d. (g o f)(7) =
(Simplify your answer.)
Show your work below.
Part a
[tex](f \circ g)(x)=f(g(x))=\sqrt{x+9}[/tex]
Part b
[tex](g \circ f)(x)=g(f(x))=\sqrt{x}+9[/tex]
Part c
[tex](f \circ g)(7)=\sqrt{7+9}=4[/tex]
Part d
[tex](g \circ f)(7)=\sqrt{7}+9[/tex]
Jenny spend 24 days at grandmas house last summer. Her sister spent 3/8 of that time at grandmas. How many days did jennys sister spend at grandmas house last summer
Thus, we have
[tex]\frac{3}{8}\times24=\frac{3\times24}{8}=3\times3=9\text{ days}[/tex]Therefore Jenny's sister spent 9 days
the right choice is B
An architect is building a model for her project propasal. In the model 3 cm equals 20 ft. If the length of the model is 61 cm how long will the building be?round if nessasary.
Answer: 406.67 ft
Step-by-step explanation:
(20x60)/3
1220/3
= about 406.66667
= 406.67
pls help me with my assignment surds
Answer:
4-square root 2/2
Step-by-step explanation:
Nora spends a winter day recording the temperature once every three hours for science class. At 9 am, the temperature was -12.4°F. Between 9am and noon, the temperature increased by 7.6°F. Between noon and 3pm, the temperature went up 13.1°F. Between 3pm and 6pm, the temperature dropped 1.2°F. What was the temperature at 6pm?
As per given data of recording of increasing and decreasing of temperature during different day times , the temperature at 6pm is 7.1°F.
As given in the question,
The decimal value of the temperature at 6 pm was 7.1°F
Nora's temperature recording chart in winter can be tabulated as follows:
Time Change in Temperature (°F) Temperature Reading (°F)
9 am ----- -12.4
12 noon +7.6 -4.8
3 pm +13.1 +8.3
6 pm -1.2 +7.1
Calculation by way of addition / subtraction of decimal is as follows:
-12.4°F +7.6°F = -4.8°F (increase in temperature from 3 pm to 6 pm)
-4.8°F + 13.1°F = 8.3°F (increase in temperature from 3 pm to 6 pm)
8.3°F - 1.2°F = 7.1°F (drop in temperature from 3 pm to 6 pm)
Overall change in temperature from 9 am to 6 pm is 19.5°F (increment)
Therefore, as per given data of recording of increasing and decreasing of temperature during different day times , the temperature at 6pm is 7.1°F.
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I need help pleaseee
Answer: Degree of Polynomial: 12
Step-by-step explanation:
Is -24.5 bigger than 26
Answer:
89
Step-by-step explanation:
Answer:
NO
Step-by-step explanation:
is having -$50 bigger than having $50??
Please help and thanks!!! :))
Step-by-step explanation:
the same scale factor has to apply to all sides.
we see for the left vertical side that for C it is 3 units long, for D it is 2 units long.
so, the scale factor is
3/2 = 1.5
to go from D to C we have to multiply all lengths by 1.5.
What is 2.87 rounded to the nearst tenth
the quotient of 9660 and 460
Answer:
21-- 9660 / 460 = 21
Answer:
9660/460 = 21
Step-by-step explanation:
when light strikes the surface of a medium such as water or glass, its intensity decreases with depth. the beer-lambert-bouguer law states that the percentage of decrease is the same for each additional unit of depth. in a certain lake, intensity decreases about 85% for each additional meter of depth. (a) explain why intensity i is an exponential function of depth d in meters. intensity i is an exponential function of depth since i increases by a decreasing percentage as a function of depth. intensity i is an exponential function of depth since i decreases by an increasing percentage as a function of depth. intensity i is an exponential function of depth since i decreases by a decreasing percentage as a function of depth. intensity i is an exponential function of depth since i decreases by a constant percentage as a function of depth. intensity i is an exponential function of depth since i increases by an increasing percentage as a function of depth. (b) use a formula to express intensity i as an exponential function of d. (use i0 to denote the initial intensity.) i(d)
find the image of the point A(2,3) rotating about the point (0,0) through plus 90 degree
Answer:
3,-2
Step-by-step explanation:
3,-2
A principle of $1500 is invested at 7.25% interest compounded annually how much will the investment be worth at five years
Answer: $2128.52
Step-by-step explanation:
[tex]1500(1+.0725)^{5}[/tex]
The sum of the first 333 terms of a geometric series is 171171171 and the common ratio is \dfrac23
3
2
start fraction, 2, divided by, 3, end fraction.
What is the first term of the series?
The first term of the geometric progression will be 81.
What is geometric progression?When there is a constant between the two successive numbers in the series then it is called a geometric series. In other words, every next term is multiplied by that constant term to form a geometric progression.
Given that the common ratio of the geometric series is ( 2 / 3 ) and the sum of the first four terms is 171.
The first term of the geometric series will be calculated as:-
[tex]S_n = a_1\dfrac{(r^n-1)}{r-1}[/tex]
[tex]171 = a_1\dfrac{(\dfrac{2}{3}^3-1)}{\dfrac{2}{3}-1}[/tex]
a₁ = ( 171 x 9 ) / 19
a₁ = 9 x 9
a₁ = 81
Therefore, the first term of the geometric progression will be 81.
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What is the Standard form of 70,000
Answer: 7x10 to the 4th
Step-by-step explanation: