Answer:
0.3456 = 34.56%
Step-by-step explanation:
Binomial distribution
[tex]\displaystyle P(X=x)=\binom{n}{x} \cdot p^x \cdot (1-p)^{n-x}[/tex]
where:
n = number of trialsp = probability of successGiven:
p = 0.6n = 5x = 3Substitute the given values into the formula:
[tex]\begin{aligned}\implies \displaystyle P(X=3) & =\binom{5}{3} \cdot 0.6^3 \cdot (1-0.6)^{5-3}\\ & = \dfrac{5!}{3!(5-3)!}\cdot 0.6^3 \cdot 0.4^2\\ & = 10 \cdot 0.216 \cdot 0.16\\ & =0.3456\end{aligned}[/tex]
Therefore, the probability of exactly 3 successes is 0.3456 = 34.56%
What is the equivalent expression to (-18)-64n? A. -2(9-32n) B. 2(9-32n) C. -2(9+32n) D. 2(9+32n)
Answer:
C. -2(9 + 32n)
Step-by-step explanation:
-2(9 + 32n)
= -2*9 - 2*32n
= (-18) - 64n.
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ruby was out at a restaurant for dinner when the bill came. her dinner came to $27.
after adding in a tip, before tax, she paid $34.29. find the percent tip.
Answer:
I think it's 21.26%
Step-by-step explanation:
tip: 34.29-27=7.29$
the percent tip: (7.29×100)/34.29=21.26 (approximately)
1/12
Is this good?please help me I’m dying
Answer:
hey its fine but just add one more line in the between somewhere because it should be total 12 sectors and you have only 11.
Step-by-step explanation:
check the pic for reference
Answer:
I think it should be good =D
Step-by-step explanation:
Find the slope of the line that passes through (6,9) and (9,5)
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
[tex]\diamond\large\blue\textsf{\textbf{\underline{\underline{Question:-}}}}\diamond[/tex]
Find the slope of the line that passes through (6, 9) and (9, 5).
[tex]\diamond\large\blue\textsf{\textbf{\underline{\underline{Answer and how to solve:-}}}}\diamond[/tex]
[tex]\boxed{\\\begin{minipage}{3cm}\xrightarrow {slope\:formula\:below} \\ $\displaystyle\frac{y_2-y_1}{x_2-x_1}$ \\ \end{minipage}}}[/tex]
Substitute 5 for y₂, 9 for y₁, 9 for x₂ and 6 for x₁:-
[tex]\boxed{\frac{5-9}{9-6}}[/tex]
On simplification,
↬ [tex]\boxed{\frac{-4}{3}}[/tex]
►So we conclude that the slope of the line is
►[tex]\boxed{-\frac{4}{3}}[/tex] ◀︎
Good luck.- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
A doctoral student wants to determine the relationship between steps per minute and the time it takes to walk 100 feet in
minutes. Thirty trials are completed and the correlation coefficient between steps per minute and time in minutes is determined
to be -0.543. Therefore, fewer steps per minute were related to longer time spans. How is the correlation affected if the units for
time are changed from minutes to seconds? (3 points)
The correlation and time measurement would change proportionally to one another.
The correlation would increase because changing the units for time would result in an increase in time values.
It is impossible to determine the amount of change experienced by the correlation.
The correlation would decrease because only the units for one of the variables changed.
The correlation would stay the same because the change in units for time would have no effect on it.
Using correlation coefficients, it is found that that the correct option is given as follows:
The correlation would stay the same because the change in units for time would have no effect on it.
What is a correlation coefficient?It is an index that measures correlation between two variables, assuming values between -1 and 1.If it is positive, the relation is positive, that is, they are direct proportional. If it is negative, they are inverse proportional.If the absolute value of the correlation coefficient is greater than 0.6, the relationship is strong.The correlation coefficient does not have units, hence if the units of the measures is changed, the coefficient remains constant, which means that the correct option is given by:
The correlation would stay the same because the change in units for time would have no effect on it.
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PLEASE HELP ME OUT
8.)
Using special right triangles, what will be the y-coordinate of the point below?
a.)
5√3
b.)
5
√3
30°
10 units
(0,0)
c.)
d.)
Step-by-step explanation:
the answer is b 5 according to the graph
A triangle has sides with lengths of 55 feet, 65 feet, and 81 feet. Is it a right triangle?
yes
no
question 16. You sent an email to 8 friends. They each forwarded the email to 8 friends, and those friends each forwarded the email to 8 friends. The chain of emails is represented by the expression 8+8²+8³. How many people were sent your email.
Answer:
584
Step-by-step explanation:
8 + 8 squared + 8 cubed is 8 plus 64 plus 512 which is 584
IF a universal set U = {x:x belongs to N , x less or equal to 10} , A ={y:y = 2n , n belongs to N , n less than 5} and B ={z:z = 3n , n belongs to N , n less than 4}
Answer:
your answer is N = {xxx: =9n
5 The diagram shows three identical shapes. į of
shape A is shaded and of shape C is shaded.
What fraction of shape B is shaded? ......
Answer:
7/24
Step-by-step explanation:
The total amount of unshaded area of shape B is the sum of the areas of the unshaded regions of shapes A and B.
Unshaded area in A: 1 - 2/3 = 1/3
Unshaded area in C: 1 - 5/8 = 3/8
Sum of unshaded areas of A and B: 1/3 + 3/8 = 8/24 + 9/24 = 17/24
Shaded area of B: 1 - 17/24 = 24/24 - 17/24 = 7/24
Can somebody help me on this
Answer:
7 + 7 = 14
you have 7 apples and add 7 more thats 14
Step-by-step explanation:
A spinner with a yellow, blue, red, and green section is shown. The arrow is pointing at the yellow section. The fair spinner shown is spun 2 times. The set of possible outcomes are: S = {RR, BB, YY, GG, RB, BR, RY, YR, RG, GR, BY, YB, BG, GB, YG, GY} The number of yellows in the outcome is summarized in the table on the right. A 2-column table has 3 rows. The first column is labeled Yellow with entries 0, 1, 2. The second column is labeled Frequency with entries 9, 6, 1. Using the data from the theoretical probability table, what is the probability of the spinner landing only once on yellow in two spins? 0.0625 0.5625 0.375 1
The probability of the spinner landing only once on yellow in two spins is P = 0.375
How to get the probability?All the possible outcomes have the same probability, so, the probability that in two spins the spinner land only once in yellow is given by the quotient between the number of outcomes that have only one yellow and the total number of outcomes.
All the outcomes are:
{RR, BB, YY, GG, RB, BR, RY, YR, RG, GR, BY, YB, BG, GB, YG, GY}
16 in total.
The ones where the spinner lands only once on yellow are:
{RY, BY, YB, YG, GY, YR}
6 outcomes.
So the probability is:
P = 6/16 = 0.375
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Answer:C
Step-by-step explanation:
Factor
please help :)
Answer: Heyaa! :)
Your Answer Is.. (3w+7)² Or is 1 depending on if u want the GCF (GFC means to.. Find the prime factors of each term in order to find the greatest common factor (GCF).
Step-by-step explanation:
Factor using the perfect square rule.
Step-by-step explanation:
9w²+42w+49
since this is in (a-b)² form
3²w²+2*3w*7+7²
(3w+7)²
8. Between what two consecutive integers must the value of log, 7342 lie? Justify your answer.
9. Between what two consecutive integers must the value of log, (500) lie? Justify your answer.
Can someone help me with these questions? I don’t understand what the question is asking or how to solve. Only 8 and 9
The two consecutive integers that the value of log₄7342 lie between are 6 and 7
The two consecutive integers that the value of log₅(1/500) lie between are -4 and -3
What are consecutive integers?Consecutive integers are whole numbers that follow each other without gaps. For example, 1 and 2; 6 and 7; 5 and 6; 18 and 19 etc.
From the question, we are to determine between what two consecutive integers must the value of log₄7342 lie
The value of log₄7342 = 6.42
On the number line, 6.42 is between 6 and 7.
Hence, the two consecutive integers that the value of log₄7342 lie between are 6 and 7
For log₅(1/500)
The value of log₅(1/500) = -3.861
On the number line, -3.861 is between -4 and -3
Hence, the two consecutive integers that the value of log₅(1/500) lie between are -4 and -3
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find (a) the arc length and (b) the area of a sector.
Answer:
a) 23.56 ft (2 dp)
b) 58.90 ft² (2 dp)
Step-by-step explanation:
Formula
[tex]\textsf{Arc length}=r \theta[/tex]
[tex]\textsf{Area of a sector}=\dfrac{1}{2}r^2 \theta[/tex]
[tex]\quad \textsf{(where r is the radius and}\:\theta\:{\textsf{is the angle in radians)}[/tex]
Calculation
Given:
[tex]\theta=\dfrac{3 \pi}{2}[/tex] r = 5 ft[tex]\begin{aligned}\implies \textsf{Arc length} & =r \theta\\& = 5\left(\dfrac{3 \pi}{2}\right)\\& = \dfrac{15}{2} \pi \\& = 23.56\: \sf ft\:(2\:dp)\end{aligned}[/tex]
[tex]\begin{aligned} \implies \textsf{Area of a sector}& =\dfrac{1}{2}r^2 \theta\\\\ & = \dfrac{1}{2}(5^2) \left(\dfrac{3 \pi}{2}\right)\\\\& = \dfrac{25}{2}\left(\dfrac{3 \pi}{2}\right)\\\\ & = \dfrac{75}{4} \pi \\\\& = 58.90 \: \sf ft^2\:(2\:dp)\end{aligned}[/tex]
question 12. write the product using exponents
Find the measure of all sides. Round to the nearest tenth.
Answer:
the value of x=9 and AB(h)=9.396
i need help on this please
application factorise 5x²-20
5x²-20
5(x²-4)
hope it helps...!!!
What does each line on the protractor stand for?
one-half of a degree
ten degrees
one degree
five degrees
Answer: I'm a fourth grader Here's my answer One degree
I hope This helps and yes It will make sense because Each on line is one degree and I got A test And it was right Any questions just type In the comments
The battery life of a fully charged cell phone is normally distributed, with a mean of 14 hours and a standard deviation of 2 hours. What is the probability that a randomly selected cell phone will have a battery life of at least 8 hours
Answer:
.0013
Step-by-step explanation:
8 hours is 3 standard deviations BELOW the mean z-score = -3
from z scor table , tis corresponds to .0013
The government conducted a study and collected the given data. use the
data to answer the following questions.
speed (mph) 45 55 65 75
fuel (mpg) 43 45 38 32
find the quadratic regression model that represents the relationship
between speed and fuel. round your answer to two decimal places
The quadratic regression equation is y = -0.02x^2 + 2x - 6
How to determine the quadratic regression?The table of values is given as:
speed (mph) 45 55 65 75
fuel (mpg) 43 45 38 32
Next, we determine the regression equation using a graphing calculator (see attachment)
From the graphing calculator, we have:
a = -0.02, b = 2 and c = -6
A quadratic regression is represented as:
y = ax^2 +bx + c
So, we have:
y = -0.02x^2 + 2x - 6
Hence, the quadratic regression equation is y = -0.02x^2 + 2x - 6
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Point S is the midpoint of RT the coordinates of point R and point T are listed below R(-11,-12) T(-7,-4) what are the coordinates of point S
Answer:
S (- 9, - 8 )
Step-by-step explanation:
given endpoints (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is
( [tex]\frac{x_{1}+x_{2} }{2}[/tex] , [tex]\frac{y_{1}+y_{2} }{2}[/tex] )
here the endpoints are R (- 11, - 12 ) and T (- 7, - 4 ) , then
midpoint = ( [tex]\frac{-11-7}{2}[/tex] , [tex]\frac{-12-4}{2}[/tex] ) = ( [tex]\frac{-18}{2}[/tex] , [tex]\frac{-16}{2}[/tex] ) = (- 9, - 8 )
Find the measures of the interior angles of the triangle.
I really need help with this, it is due 10 pm tonight, if you can help thanks so much :)
Answer:
∠ A = 140° , ∠ B = 30° , ∠ C = 10°
Step-by-step explanation:
the sum of the 3 interior angles = 180°
sum the given angles and equate to 180
x - 5 + 2x + 140 = 180
3x + 135 = 180 ( subtract 135 from both sides )
3x = 45 ( divide both sides by 3 )
x = 15
then
∠ A = 140°
∠ B = 2x = 2 × 15 = 30°
∠ C = x - 5 = 15 - 5 = 10°
Answer:
Angle A = 140°Angle B = 30°Angle C = 10°Step-by-step explanation:
Find the measures of the interior angles of the triangle.
The sum of the interior angles of a triangle is 180°180 = 140 + 2x + x - 5
40 + 5 = 3x
45 = 3x
x = 45 : 3
x = 15°
-----------------------
check
180 = 140 + 2 * 15 + 15 - 5
180 = 180
the answer is good
---------------------------
Find the angles
140° = angle A
2x = 15 * 2
2x = 30° (angle B)
x - 5 = 15 - 5
x = 10° ( angle C)
-----------------------
check
140 + 30 + 10 = 180°
the answer is good
can somene answer this
Answer:
Use the pythagorean theorem.
[tex]a^2 + b^2 = c^2[/tex]
The length of one leg, a is 11, and the length of the hypotenuse, the longest side (or c) is 17. Substitute
[tex]11^2 + b^2 = 17^2 \\121 + b^2 = 289\\[/tex]
Subtract 121 from both sides to isolate B
[tex]b^2 + 121 - 121 = 289 - 121\\b^2 = 168[/tex]
Take the square root of both sides to isolate b
[tex]\sqrt{b^2} =\sqrt{168} \\b = 12.961[/tex]
There are 7 seniors on the high school soccer team. Two of them will be
chosen to be co-captains. How many ways are there to choose the co-
captains?
Decide if this is a permutation or a combination, and then find the number of
ways to choose the co-captains.
The two co-captians can be chosen in 21 different ways.
How many ways are there to choose the co-captains?
If the two co-capitans are equivalent, then we need to find combinations.
So we want to find how many combinations of 2 elements we can make out of a set of 7 elements.
This is given by:
[tex]C(7, 2) = \frac{7!}{(7 - 2)!*2!} = \frac{7*6}{2} = 21[/tex]
So the two co-captians can be chosen in 21 different ways.
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I am a bit confused on how to solve it so please explain
Answer:
Step-by-step explanation:
You could do it either way, but I have attached an image with one way to do it.
Then, using the exterior angle theorem, you can do:
(180-4x) + 100 = 3x
280 - 4x = 3x
280 = 7x
x = 40
From there, don't forget to plug in the numbers if you need to do so :)
–51 ≤ x + 38 I need help please finals are tomorrow....
Answer:
x ≥ - 89
Step-by-step explanation:
−51 ≤ x + 38
Step 1: Flip the equation.
⇒ x + 38 ≥ - 51Step 2: Subtract 38 from both sides.
⇒ x + 38 - 38 ≥ - 51 - 38x ≥ - 89 ====> Answer
If f(x) = x² — 2x and g(x) = 6x + 4, for which value of x does (f + g)(x) = 0?
4
-2
2
04
Answer:
-2
Step-by-step explanation:
Given that;
f(x) = x² -2x
and g(x) = 6x + 4
(f + g)(x) = x²-2x+6x+4
:- x² +4x + 4 = 0
x² +2x +2x + 4 = 0
x(x + 2)+2(x + 2) = 0
(x + 2)(x + 2) = 0
:- x = -2
Make sure your answer is in
degrees. You should be able to
find this without a calculator.
-
cos ¹(cos 43°) = [? ]°
Answer:
[tex]\cos^{-1}( \cos 43^{\circ}) = 43^{\circ}[/tex]
Step-by-step explanation:
The correct answer of the given function [tex]cos^{-1}[/tex] (cos 43°) will be 43°.
What is a trigonometric function?The fundamental 6 functions of trigonometry have a range of numbers as their result and a domain input value that is the angle of a right triangle.
It will be possible to comprehend the graphs, domains, differentiation, and integration of the four quadrants' trigonometric functions.
The trigonometric function is only valid for the right angle triangle and it is 6 functions which are given as sin cos tan cosec sec cot.
We know that the inverse trigonometric function of any function will vanish.
[tex]cos^{-1}[/tex] (cos 43°) = 43° cos inverse has vanished with cos and thus 43° is coming out to be the answer.
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