Answer:
0.05606
Step-by-step explanation:
This is a binomial probability distribution problem.
84% of all households have cable TV, thus;
p = 0.84
There are six households from this area, thus; n = 6
Formula for this binomial distribution is;
P(X) = C(n, x) × p^(x) × (1 - p)^(n - x)
We want to find the proportion of groups where at most three of the households have cable TV.
Thus, it's is;
P(X ≤ 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)
P(X = 0) = C(6, 0) × 0.84^(0) × (1 - 0.84)^(6 - 0) = 0.00001678
P(X = 1) = C(6, 1) × 0.84^(1) × (1 - 0.84)^(6 - 1) = 0.000528
P(X = 2) = C(6, 2) × 0.84^(2) × (1 - 0.84)^(6 - 2) = 0.006963
P(X = 3) = C(6, 3) × 0.84^(3) × (1 - 0.84)^(6 - 3) = 0.04855
Thus;
P(X ≤ 3) = 0.00001678 + 0.000528 + 0.006963 + 0.04855 = 0.05606
Brainliest
Does changing the compound inequality x>-3 and x<3 from and" to or change the soluion set? Explain
Answer:
Yes
Step-by-step explanation:
If you look at it. X is basically -2, -1, 0, 1, or 2.
Hope I helped and Pls Mark Brainliest
what is the value of the following expression: f^-1(f(x))
The required simplified value of the f⁻¹(f(x)) is given as x.
What is simplification?The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
Property of function states that function of function would be x, if the last function is an inverse function of its substituting function or vice versa. So,
f⁻¹(f(x)) = f(f⁻¹(x)) = x
Thus, the required simplified value of the f⁻¹(f(x)) is given as x.
Learn more about simplification here:
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#1. please help me with my math Select All
Answer:
B.) - ⅖ -⁴⁄₃ᵖ and
D.) -⁴⁄₃ᵖ + (- ⅖)
Step-by-step explanation:
-⁴⁄₃ᵖ - ⅖ is equivalent to - ⅖ -⁴⁄₃ᵖ and -⁴⁄₃ᵖ + (- ⅖)
Thus, The answer is - ⅖ -⁴⁄₃ᵖ and -⁴⁄₃ᵖ + (- ⅖)
-TheUnknownScientist
Gina popped 7 times as many balloons as Sam did. If Sam popped n balloons, how many balloons did Gina pop?
O A 7-n
7n
O c 7+1
o
Answer:
B. 7n
Step-by-step explanation:
Gina popped 7 times more than Sam, the keyword is times, so u have to multiply the amount of balloons Sam poppes, n, with 7
If it said Gina popped 7 balloons more, then it would be 7 + n
5.00 minus2.40minus1.33= plz show me how you got that answer step by step
Answer:
5.00 -2.40= 2.60
2.60-1.33= 1.27
The answer is 1.27
Step-by-step explanation:
How many quadrants are included on the coordinate plane?
Answer:
There are 4
Step-by-step explanation:
You have the 1st 2nd 3rd and 4th quadrant.
They go from top right to top left then bottom left then to bottom right.
Determine a constant in 9x + 4y -13.
A) -13
B) 9x
C) 4y
Write an equivalent ratio that is triple 7 to 11
Answer:
21/33
Step-by-step explanation:
Multiply both numbers by 3
Adults in Turkey have mean caloric intake of 3500 calories per day (Wikipedia) with a standard deviation of 500 calories. A sample of 25 Ankara University students has an average intake of 3400 calories per day. Is this enough evidence to conclude that Ankara U. students average is not 3500 calories per day? Assume the distribution is normal.
A. State the null and alternative hypotheses.
B. What is the value of the test statistic?
C. Specify the rejection region?
D. State the conclusion.
Answer:
A) Null hypothesis; H0: μ = 3500
Alternative hypothesis;Ha μ ≠ 3500
B) t = -1
C) the rejection region will be;
p-value < 0.05
D) Conclusion is that there is no sufficient evidence to support the claim that Ankara U. students average is not 3500 calories per day.
Step-by-step explanation:
We are given;
Population mean; μ = 3500
Population standard deviation; σ = 500
Sample mean; x¯ = 3400
Sample size; n = 25
We want to find enough evidence to conclude that Ankara U. students average is not 3500 calories per day.
Thus, the hypothesis is defined as;
A) Null hypothesis; H0: μ = 3500
Alternative hypothesis;Ha μ ≠ 3500
B) sample size is less than 30, thus we will use a t-test.
Formula for the test statistic is;
t = (x¯ - μ)/(σ/√n)
t = (3400 - 3500)/(500/√25)
t = -100/(500/5)
t = -1
C) since the sample is small, let's assume a significance level of 0.05.
Thus,the rejection region will be;
p-value < 0.05
D) from online p-value from t-score calculator attached using;
t = - 1; DF = 25 - 1 = 24; significance level = 0.05 and two tailed hypothesis, we have;
p-value ≈ 0.3273
This is greater than the significance value of 0.05.
Thus, we will fail to reject the null hypothesis and conclude that there is no sufficient evidence to support the claim that Ankara U. students average is not 3500 calories per day.
Need help please on this
Answer:
I think it's dilated by a scale factor of 5. Because the black one is 3 squares long and the purple one is 15. So divide those and you get 5! and to check just multiply 5x3 to find the length of the purple one!
Step-by-step explanation:
Hope this helps! please mark brainliest! :)
Select all ratios equivalent to 3:2.
2:12 18:14 27:18
Answer:
27:18.
Step-by-step explanation:
27/9 = 3
18/9 = 2
Answer:
27:18
more equivalent ratios:
6 : 4
21 : 14
Helppp please i need helppppppppoooo
Answer:
The answer would be A.
Fun Fact - Cats have fewer toes on their back paws.
Like most four-legged mammals, they have five toes on the front, but their back paws only have four toes. Scientists think the four-toe back paws might help them run faster.
What is the difference of the polynomials?
(5x^3+ 4x^2)-(6x^2-2x-9)
i think its B ......
The difference of the polynomials (5x3 + 4x2) – (6x2 – 2x – 9) is 5x3 – 2x2 + 2x + 9.
A polynomial is an expression consisting of variables and coefficients,
5x3 + 4x2 - (6x2 - 2x - 9)
= 5x3 + 4x2 - 6x2 + 2x + 9
= 5x3 - 2x2 + 2x +
In the expression g×h, g and h are real numbers. For what values of g and h is the expression g×h negative?
Select TWO that apply.
A. g=−1; h=−1
B. g=−1; h=1
C. g=1; h=−1
D. g=0; h=1
E. g=−1; h=0
Answer:
A
Step-by-step explanation:
They are both negative and that helps it.
Hope this helps!!!
The values of g and h to make the expression g×h negative are g=−1; h=1 and g=1; h=−1.
What is Expression?An expression is combination of variables, numbers and operators.
The given expression is g×h where g and h are real numbers
The expression g×h is negative when either g or h is negative.
Since multiplying two negative numbers results in a positive number
The only way for the expression to be negative is if one of the numbers is negative and the other is positive.
So when g=−1 and h=1
The expression g×h = -1×1 = -1.
when g=1 and h=-1
The expression g×h = 1×-1 = -1.
Hence, g=−1; h=1 and g=1; h=−1 are the values of g and h to make the expression g×h negative
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PLZ HELP if u know the amswer
Answer:
The correct answer is the last option (d.)
Step-by-step explanation
solve (x – 3)2 = 81 quadratic equation
Answer:
x = 43.5 or x = 87/2
Step-by-step explanation:
(x - 3)2 = 81
2x - 6 = 81
2x = 87
x = 43.5
12. Write the equation of a line that passes through point (2,3) and is parallel
to the line 6x + 3y = 12. *
HELP! WILL GIVE BRANLIEST!
(Question 12!)
Answer: c you welcome , also thx for points let me know how it feel failing your test
Step-by-step explanation:
Six oranges cost $.90. How much will 9 oranges cost?
Answer: 1.35
Step-by-step explanation:
if:
6 oranges cost............................0.90 dollars
9 oranges will cost....................................?
(9*0.90)/6=1.35 dollars
In slope-intercept form, write the equation of the line passing through the points (-4,1) and (-3,2).
Answer:
the points are starting at 5y and the slope line goes up to (6, 1) and goes down to (-1, 4 ), (-2, 3), (-3, 2) and (-4, 1) The graph has 1x +5
going to desmos to graph it out you can see the slpe line going through (-4, 1) (-3, 2)
Evaluate: 3.2^t when t = 4 *
Answer:
48
Step-by-step explanation:
In pemdas, powers and roots always come first
3 * 2^t
3 * 2^4
3 * 16
Then simplify the rest
48
A football team gained 9 yards on one play and then lost 22 yards on the next and
finally gained 12 yards on the final play. What is the result of the three plays?
Find the value of the missing angle in the triangle below:
Answer:
85°
Step-by-step explanation:
x+32°+63°=180°(being sum of interior angle of triangle)
x=180°-95°
:. x=85°
What are the coefficients in the algebraic expression
what is 16 - 2t = t + 9 +4t
Answer:
t=1
Step-by-step explanation:
16-2t = t + 9 +4t
combine like terms
16-2t = 5t + 9
add 2t to both sides
16-2t+2t = 5t+9+2t
combine like terms
16=7t+9
subtract 9 from both sides
16-9=7t+9-9
combine like terms
7=7t
divide both sides by 7
t=1
Answer:
16=t+9+4t+2t
16=9+7t
16-9=7t
7=7t
t=1
Find the mssing value.
I = ? , P = $250.00, r = 4%, t = 2 years
Answer:
20 I think
Step-by-step explanation:
I mean I would say it is 20
A supporting wire is attached to a tree at a height of 45 feet from the ground. If the length of the wire is 51 feet, what is the distance between the base of the tree and the foot of the wire?
Answer:
51 - 45 = 6 feet
Given congruent triangles ΔABC ≅ΔDEF where AB = 11, BC = 5, and DE = 6x-7. Find the value of x.
Answer: Congruent angles are angles that have the same measure. ... y = 67 x = 180 – 67 = 113. 2. x = ______ y = ______. 3x – 5 = 127. +5 +5. 3x = 132 ... Find the measure of the angle and give the reason for knowing it. ... Solve for the unknown values: ... 2) AD. 3) AB. 4) BC. 24. In ΔABC, If CA ≅ CB and m∠A = 50, find the m∠B.
Answer:
x = 3
Step-by-step explanation:
Since the triangles are congruent then corresponding sides are congruent, that is
DE = AB , substitute values
6x - 7 = 11 ( add 7 to both sides )
6x = 18 ( divide both sides by 6 )
x = 3
How do I solve this ?
Answer:
See attachment :D
Step-by-step explanation:
y = 2/3x + 2
This is in slope-intercept form, y = mx+b. m is the slope, 2/3, and b is the y- intercept, 2. So you know the line intersects with the y-axis at (0,2). The slope is 2/3. So you can move up two points, then over three. Because it's a positive slope, you move right. This leaves you at point (0,3). Connect a line between these two points.
The line intersects with points (-3,0) and (0,2).
Hope this is helpful ^^ Good luck with your test :D
Simplify.
2 + 8h + 5 + 2h =
Answer: 7+10h=
Step-by-step explanation:
Just add the numbers that match.
2+5= 7
8h+2h= 10h
Answer:
Step-by-step explanation:
2+8h +5 2h =7+ 10h
You add 2+5 and then add 8h and 2h
