Answer:
B. 53
Step-by-step explanation:
7 to the power of 2 is simply 7 x 7. And 2 to the power of 2 is 2 x 2. Together you have 49 and 4 which makes 53 the simplified form of your equation.
The weight, X, of cherry tomatoes selected at random from a very large bin at the local supermarket follows a Normal distribution with mean 3 oz. and standard deviation 2 oz. Suppose we pick 8 cherry tomatoes from the bin at random (independently) and put them in our bag. What is the probability that exactly 5 of the 8 cherry tomatoes weigh less than 4 oz (rounded to the nearest 0.01)?
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
Which activity is involved when determining which probability distribution to use to calculate probabilities?
Answer:
Statistics.
Step-by-step explanation:
Statistics is the branch of exact sciences that has the objective of collecting data from reality from taking samples of a specific group of society or a particular situation, thing or event, and comparing the differences between these samples to obtain a general sample of a certain common characteristic.
Thus, statistics seeks through comparison to establish parameters on which the other sciences are based in order to develop theories, relying on the repetition of characteristics common to the groups analyzed.
Can someone help with this please?
Answer:
Y= -1/4x -1 3/4
or Y= -0.25x -1.75
Step-by-step explanation:
I got this by finding the distance between the points.
The distance is 8x and -2y
Divide that by 2 and you get 4 and -1 or -4/1
Then knowing that the slope is -0.25, you know that for each square the line goes down .25 That is how I found the y intercept.
In conclusion Y= -0.25x -1.75
Consider a sample with six observations of 15, 16, 12, 8, 6, and 9. Compute the z-scores for each sample observation.
Sample observation. z-scores
15
16
12
8
6
9
Answer:
1 ; 1.25 ; 0.25 ; - 0.75 ; - 1.25 ;- 0.5
Step-by-step explanation:
Given the sample observations : 15, 16, 12, 8, 6, 9
Zscore for each sample Observation :
Zscore = (x - mean) / standard deviation
(15 + 16 + 12 + 8 + 6 + 9) / 6 = 11
Mean value (m) = 11
Standard deviation (s) = 5
Sqrt[(x - m)^2 / (n - 1)]
[(15-11)^2 + (16-11)^2 + (12-11)^2 + (8-11)^2 + (6-11)^2 + (9-11)^2] / (6 - 1)
= 80/5 = 16
Sqrt(16) = 4
Zscore = (x - mean) / standard deviation
x = 15
Zscore = (15 - 11) / 4 = 1
x = 16
Zscore = (16 - 11) / 4 = 1.25
x = 12
Zscore = (12 - 11) / 4 = 0.25
x = 8
Zscore = (8 - 11) / 4 = - 0.75
x = 6
Zscore = (6 - 11) / 4 = - 1.25
x = 9
Zscore = (9 - 11) / 4 = - 0.5
Pls help answer correctly for brainliest pls and 50 points
If x = 4 then 2x + 6 =
If b = 12 then 2(3b + 1) =
If x = 5 then x^2 + 4 =
If x = 2 then 9x + 13 =
If x = 5 then 4x - 1 =
If x = 3 then 4x - 3 =
If s = 6 then 9 + 3s =
If x = 4 then 3x - 4 =
If n = 8 then 3(n + 1) =
If n = 6 then 5(n - 5) + 16 =
Answer:
Just substitute
Answers in order of questions
147429311992782721Hope this helped. Please mark as brainliest!
Answer:
lol whyd you delete my answer
Step-by-step explanation:
can anyone answer this please
Pls help I will mark
Answer:
C
Step-by-step explanation:
Given f(x) = 2x + 3(x – 3), find x, if f(x) = 11.
Answer:
Here,
f(x)=2x+3(x-3)
if f(x)=11
we know that,
or,11=2x+3(x-3)
or,11=2x+3x-9
or,11+9=5x
or,20=5x
Therefore,x=4
Answer:
x = 4
Step-by-step explanation:
2x + 3x - 9 = 11
5x = 11+9
5x = 20
x = 4
Feel free to mark it as brainliest :D
mark can cleaN the house in 7 hours. when he cleans the same house with wend, it takes them 3 hours to clean the house. how long would it rake wendy to clean the house by herself
Answer:5.25
Step-by-step explanation:
3(1/7 + 1/x) = 1
3([x + 7]/7x) = 1
3x + 21 = 7x
4x = 21
x = 21/4 OR 5.25
It will take wendy 5.25hrs to clean the house by herself.
Let x be the time taken by mark to clean the house by herselfLet y be the time taken by wend to clean the house by herselfLet a be the time it took the two to clean the house together.In order to get the time it take wendy to clean the house by herself, we will use the expression:
1/a = 1/x + 1/y
1/3 = 1/7 + 1/y
1/y = 1/3 - 1/7
1/y = 7-3/21
1/y = 4/21
y = 21/4
y = 5.25hrs
Hence it will take wendy 5.25hrs to clean the house by herself.
Learn more on fractions here: https://brainly.com/question/5474474
Which of the following is a correct interpretation of the expression 2 + 72+72, plus, 7? Choose 1 answer: Choose 1 answer: (Choice A) A The number that is 222 to the left of -7−7minus, 7 on the number line (Choice B) B The number that is 222 to the right of -7−7minus, 7 on the number line (Choice C) C The number that is 777 to the left of 222 on the number line (Choice D) D The number that is 777 to the right of 222 on the number line
Answer: Your real answer is D
Step-by-step explanation:
The start is 7 to the right of 2
Answer:
the answer is 0
Step-by-step explanation:
g In cross-tabulation, one of the tests used to evaluate the statistical association between two categorical or ordinal variables is called: The Chi-square test of independence The product-moment correlation coefficient The test of mean equality for independent samples The parametric test of dependence
Answer:
The Chi-square test of independence
Step-by-step explanation:
The answer to this question is the Chi-square test of independence because it is what is used to determine the existence of an association between nominal/categorical variables. This test is non parametric in nature and it can also be called the chi square test of association.
The data is tabulated. each row is a representation of the category for one of the variables and each column is for the other variable.
6th grade math look at the pictures
Answer:
use a calculator.
Step-by-step explanation:
Answer:
2. 17.624
3. 9.72
4. 14.3
5. 2.11
8. 5,105.16
10. 124.7
Step-by-step explanation:
Help please! This has to do with the Pythagorean theorem.
Answer: It's 11.5
Explanation ( took so long)
[tex]C = \sqrt{a^{2} + b^{2} }\\14 = \sqrt{8^{2} + b^{2} }\\14 = \sqrt{64 + b^{2} }\\14^{2} = 64 + b^{2} \\196 = 64 + b^{2} \\64 +b^{2} = 196\\b^{2} = 196 - 64\\b^{2} =132\\b = \sqrt{132} \\b = 11.48[/tex]
What is the length of the diagonal for the given rectangular prism to the nearest whole unit? A) 10 cm B) 11 cm 6 cm D) 13 cm
Hi there! :)
[tex]\large\boxed{\text{B. 11 cm.}}[/tex]
Begin by using Pythagorean theorem to solve for the length of the diagonal of the base:
a² + b² = c²
Use the length and width in the equation:
8² + 3² = c²
64 + 9 = c²
73 = c²
c ≈ 8.54 cm
Now, we can find the length of the diagonal of the prism using our calculated diagonal of the base and the height. Use the same equation:
(8.54)² + 7² = c²
73 + 49 = c²
122 = c²
√122 = c
c = 11.05 ≈ 11 cm. The correct answer is B.
What is the solution to the equation 4(b - 2) - 10 = 2b + 6 A ) b = 4 B) b = 3.3 C) b = 7.5 D b = 12
Which of the following statements are true? Select all that apply.
A triangle is shown.
HELP ASAP! I WILL GIVE 20 POINTS AND MARK AS BRAINLIEST!
Answer:
p=3m
Step-by-step explanation:
-8×3×(-2)×2×(-5)
indicate if the answer is positive or negative
Answer:
The answer would be
Negative
Answer:
Negative
Step-by-step explanation: If there are a odd number of negative sigs, the answer is negative. If there are a even amount of negative symbols, the answer is positive and there are 3 negative symbols, so the answer is NEGATIVE
prove that 1 + sin theta /cos theta + cos theta / 1 + sin theta =
2 sectheta
Given:
[tex]\dfrac{1+\sin \theta}{\cos \theta}+\dfrac{\cos \theta}{1+\sin \theta}=2\sec \theta [/tex]
To prove:
The given statement.
Proof:
We have,
[tex]\dfrac{1+\sin \theta}{\cos \theta}+\dfrac{\cos \theta}{1+\sin \theta}=2\sec \theta[/tex]
Taking LHS, we get
[tex]\text{LHS}=\dfrac{1+\sin \theta}{\cos \theta}+\dfrac{\cos \theta}{1+\sin \theta}[/tex]
Taking LCM, we get
[tex]\text{LHS}=\dfrac{(1+\sin \theta)^2+cos^2\theta }{\cos \theta(1+\sin \theta)}[/tex]
[tex]\text{LHS}=\dfrac{(1)^2+2\sin \theta +\sin^2 \theta+cos^2\theta }{\cos \theta(1+\sin \theta)}[/tex] [tex][\because (a+b)^2=a^2+2ab+b^2][/tex]
[tex]\text{LHS}=\dfrac{1+2\sin \theta +1}{\cos \theta(1+\sin \theta)}[/tex] [tex][\because \sin^2 \theta+cos^2\theta =1][/tex]
[tex]\text{LHS}=\dfrac{2+2\sin \theta}{\cos \theta(1+\sin \theta)}[/tex]
[tex]\text{LHS}=\dfrac{2(1+\sin \theta)}{\cos \theta(1+\sin \theta)}[/tex]
[tex]\text{LHS}=\dfrac{2}{\cos \theta}[/tex]
[tex]\text{LHS}=2\sec \theta[/tex] [tex][\because \sec\theta=\dfrac{1}{\cos \theta}][/tex]
[tex]\text{LHS}=\text{RHS}[/tex]
Hence proved.
Amanda opened a lemonade stand on her street. It costs her $10.75 to buy the supplies each day, and she sells lemonade for $1.50 a cup. If she wants to make at least $50.00 in profits (sales - expenses) each day, what is the minimum number of cups of lemonade Amanda needs to sell? Input your answer as a whole number.
Answer:
41
Step-by-step explanation:
i rounded the 40.5 to 41.
Please answer! This is due very soon. Anything helps!
Use the Pythagorean
Theorem to find the missing side of the right triangle.
Answer:
6.5
Step-by-step explanation:
3C + 2b + 2c - 4b simplify the equation
Answer:
5c - 2b
Step-by-step explanation:
3c + 2c +2b -4b
5c - 2b
hope it helps :)
if it helps plzzzz mark me brainliest
Solve the equation Only enter the amount. Round to the nearest cent. Twenty tickets cost 182.50 What is the average cost of each ticket?
Answer:
$9.13
Step-by-step explanation:
You give a test to 100 students and determine the standard deviation of the scores. After grading the test, you realize that the 10 students with the highest scores did exceptionally well. You decide to award these 10 students a bonus of 5 more points each. The standard deviation of the new score distribution will be _______________________(less than, greater than or the same as) that of the original score distribution
Answer:
greater than
Step-by-step explanation:
The standard deviation of a distribution σ = [tex]\sqrt{sum(x - mean)^2/ n}[/tex]
where x is the score of each student
Adding 5 to 10 student scores would be = x+5 - mean
increasing the scores of the 10 students by 5, which in turn increases the standard deviation of the distribution.
) Solve for x: –3(4x – 1) = –6(2x + 3)
Answer: there's no solution
Step-by-step explanation:
first, we remove the parenthesis.
-12x + 3 = -12x - 18
then, we cancel equal terms.
3 = -18
that doesn't work, so it makes a false statement.
no solution.
An item is regularly priced at $80, Ryan bought it at a discount of 5% off the regular price. How much did Ryan pay?
Answer:
16
Step-by-step explanation:
divide by 5
Answer:
$76
Step-by-step explanation:
5% of $80 is $4
$80-$4= $76
Each tire on a toy car has a diameter of 5.6 cm. the tires spun completely around 15 times when the car was pushed in a straight line.about how far was the car pushed
Answer:
I believe the answer is 84 centimeters.
Step-by-step explanation:
If the wheel is 5.6 centimeters in diameter, the car is traveling 5.6 centimeters per spin of the wheels. Therefore, you do the equation, 5.6 * 15 and get 84.
What is the y-intercept of the parabola defined by y=−2x2+6x−8 and what is the equation of the axis of symmetry?
Answer:
y-intercept = (0, 8)
axis of symmetry= -b/2a
Step-by-step explanation:
Also when you want something to be squared use this symbol ^
plz help it's due till 12.06
Answer:
4
Step-by-step explanation:
the different planes are either negitive or positive. since one goes to positive and negative, for example, 5 is greater that -9.
if u bought a hambuger for 2.30 with a 5 how much change would u get back
Answer: 2.70
Step-by-step explanation: 5-2.30=2.70
Answer:
$2.70
Step-by-step explanation:
alright dig this
5-2.3=2.7
my source? a calculator
also im going to assume that sales tax doesn't exist in this problem heehoo
