Answer: the probability that exactly 5 of the 8 cherry tomatoes weigh less than 4 oz is 0.05
Step-by-step explanation:
Given that;
X has normal distribution has mean µ = 3
standard deviation σ = 2
now
P( x< 4) = P( (x-µ)/σ /(3-4)/5)
= P( z < -0.5 )
= 0.3085 {from the z-table}
X has binomial distribution with n = 8 and p = 0.3085
so P(x=5)
P(x=5) = 8C₅(0.3085)⁵ (1 - 0.3085)⁸⁻⁵
= 0.0517 ≈ 0.05
Therefore the probability that exactly 5 of the 8 cherry tomatoes weigh less than 4 oz is 0.05
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
Question is in the image
Answer:
4.
Step-by-step explanation:
y = -2x + 3
-1 = -2(2) + 3
-1 = -4 + 3
-1 = -1
y = x - 3
-1 = 2 - 3
-1 = -1
Which expression is equivalent to 2(9 + 7)?
options: 1. 18 + 14
2. 18 + 7
3. 11 + 9
4. 11 + 7
Step-by-step explanation:
option 1 is ur answer hope this helpss bro
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
Monica can clean the house in 5 hours by herself. When Monica and Sydney
work together, it takes 3 hours. How long would it take Sydney to clean the
house by herself?
A. 5.5 hours
B. 7.5 hours C. C: 2.0 hours
D. 4.7 hours
Answer:
The answer is B 7.5 hours.
Step-by-step explanation:
A. P. E. X
Sydney can clean her house in 7.5 hours.
What is Efficiency?Efficiency is often measured as the ratio of useful output to total input, which can be expressed with the mathematical formula r=P/C, where P is the amount of useful output ("product") produced per the amount C ("cost") of resources consumed.
Here, Monica can clean her house in 5 hours
Monica's efficiency = 1/5
Let, Sydney cleans the house in x hours.
Sydney's efficiency = 1/x
They both together complete their work in 3 hours
Combined efficiency = 1/3
Now, according to question;
1/5 + 1/x = 1/3
(x+5)/5x = 1/3
3x + 15 = 5x
5x - 3x = 15
2x = 15
x = 15/2
x = 7.5
Thus, Sydney can clean her house in 7.5 hours.
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Find f(g(4)) if f(x)=2x+1 and g(x)=x^2
Answer:
is this even math????
Step-by-step explanation:
First solve g(x) by replacing x with 4
G(x) = x^2 = 4^2 = 16
Now replace x in f(x) with 16:
F(x) = 2x + 1 = 2(16) + 1 = 32 +1 = 33
The answer is 33
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.
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.
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
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?
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
What's is the quotient?
-4 1/3
____
-3/4
Thank you please answer
Answer:
iiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiii
Step-by-step explanation:
Answer:
5 7/9 (5 and 7/9)
Step-by-step explanation:
-4 1/3 divided by -3/4
= (-4 1/3) / ( -3/4)
= (-13/3) / (-3/4)
= (-13/3) * (-4/3)
= 52/9
= 5 7/9
What are the coefficients in the algebraic expression
12. Write the equation of a line that passes through point (2,3) and is parallel
to the line 6x + 3y = 12. *
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! :)
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°
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
PLZ HELP if u know the amswer
Answer:
The correct answer is the last option (d.)
Step-by-step explanation
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
Determine a constant in 9x + 4y -13.
A) -13
B) 9x
C) 4y
Dan, David, Thor, and Charles together clean out evil from 60 cities. Dan cleaned up 0.25 of the cities, David cleaned up 12 of the 60 cities, Thor cleaned 35% of the cities, and Charles cleaned up the remaining cities. Who cleaned up the most cities? (5 points)
a. Dan
b. David
c. Thor
d. Charles
Answer:
d. Charles cleaned the most cities
(27y^4-3y^3) /(3y) =
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.
while tim is waiting for school to start he pulls a quarter from his pocket. how many outcomes are possible if he flips the quarter three times?
Answer:
3
Step-by-step explanation:
he flips it three times
#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
Write an equivalent ratio that is triple 7 to 11
Answer:
21/33
Step-by-step explanation:
Multiply both numbers by 3
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
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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Please answer this :)
Answer:
one option could be for the first box 5 and 9 and in the next box 15 and 27 bc u can scale factor it by 3
Step-by-step explanation:
