I need help on the pcture
Answer:
Where is it?
Step-by-step explanation:
Wheaties cereal is claimed to have an average of 3 grams of dietary fiber per serving. We want to test this hypothesis and to see whether we believe that is true or that the mean amount of fiber is significantly different from 3 grams. A random sample of 25 servings was taken and it yielded a sample mean of 3.4 grams with the sample standard deviation in the amount of fiber, s = .8 grams.
Assume that software has determined the p-value to be.02.
What would your decision be on this hypothesis test if everything is the same except that we change the level of significance for the test to.01?
Fail to reject the null hypothesis at the 1% level of significance.
Reject the null hypothesis at the 1% level of significance,
Answer:
The calculated value t = 2.5>2.326 at 0.01 level of significance
The null hypothesis is rejected at a 0.01 level of significance.
Wheaties cereal is not claimed to have an average of 3 grams of dietary fiber per serving
Step-by-step explanation:
Step(i):-
Given that the average of dietary fiber per serving μ = 3 grams
Given that the mean of the sample x⁻ = 3.4 grams
Given that the standard deviation of the sample (S) = 0.8 grams
Level of significance = 0.01
Critical value = 2.326
Step(ii):-
Null hypothesis: H₀: μ = 3 grams
Alternative Hypothesis: H₁: μ ≠ 3 grams
Tets statistic
[tex]t = \frac{x^{-}-mean }{\frac{S.D}{\sqrt{n} } }[/tex]
[tex]t = \frac{3.4-3 }{\frac{0.8}{\sqrt{25} } }[/tex]
t = 2.5
The calculated value t = 2.5>2.326 at 0.01 level of significance
The null hypothesis is rejected at a 0.01 level of significance.
Final answer:-
Wheaties cereal is not claimed to have an average of 3 grams of dietary fiber per serving
10. A tractor costs $13,650 and depreciates in value by 14% per year. How much will the tractor be worth after
10 years?
a $2,597.86 b. $13,510.00 c. $3,020.77 d. $50,603.57
−4x + 2y < 10 in slope intercept
Answer:
y < 2x + 5
Step-by-step explanation:
The format for slope intercept is y = mx + b. In this case, it is y < mx + b. Your equation is -4x + 2y < 10. First, start by adding 4x to -4x. This gets rid of that number on the left so it can just be 2y. Now, add that 4x to the right side of the equation. You are left with 2y < 4x + 10. The final step is to divide 2 from 2y. Since you are doing this step on the left side of the equation, you must now do it to the right. After also dividing 2 from 4x and 10, your final answer is y < x +5.
k is decreased by 20
A cube has a surface area of 54cm2. What is the volume of the cube?
Answer:
27 cm³
Step-by-step explanation:
A = 6 a²
V = a³
V=6A3/2
36=6·543/2
36≈27cm³
Hope this helps! Pls mark brainliest
Ceasar opens a bank account and makes an initial deposit of $800. The banker tells Ceasar that he is going to receive an annual rate of 10% compounded continuously on his investment. Find the bank balance assuming Ceasar leaves the account untouched for 8 years.
Can you please do the problem using the formula A(t)=pe^(rt).
Answer:
1780.43
Step-by-step explanation:
Given:
P = 800
r = 10% or 0.1
t = 8
Work:
[tex]A=Pe^{rt}\\\\A=800e^{0.1*8}\\\\A=800e^{0.8}\\\\A=1780.43[/tex]
Find the distance between the two points rounding to the nearest tenth (if necessary). (1,−7) and (4,−5)
Answer:
5
Step-by-step explanation:
distance formula [tex]\sqrt{(4-1)^{2} + (-5+7)^{2}[/tex]
You are standing on the ground (height of 0) and kick a ball across the park with an initial velocity of 64 feet per second. Using the vertical motion model, calculate each of the following: Don't forget units
a. What is the highest height the ball reaches?
b. When will the ball be at the highest height?
c. How long is the ball in the air?
I need this question to be answered it's 30 points and please no links just leave the answer
The reciprocal of the sum of the number and 3?
Answer:
Could you please check if you've written the question properly
This question doesn't provide enough information
Please mark as brainliest for further answers :)Are 20,30, and 16 the sides of a right triangle? Please show workkk
According to exit polling from the 2014 U.S. midterm elections, 36% of voters had a household income less than $50,000, while 64% had a household income of at least $50,000. Forty-three percent of voters from house-holds making less than $50,000 voted for the Republican party in the election, while 55% percent of voters from households making at least $50,000 voted Republican. What is the probability that a randomly selected Republican voter from the exit poll is from a household that makes at least $50,000
Answer:
0.6946 = 69.46% probability that a randomly selected Republican voter from the exit poll is from a household that makes at least $50,000.
Step-by-step explanation:
Conditional Probability
We use the conditional probability formula to solve this question. It is
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which
P(B|A) is the probability of event B happening, given that A happened.
[tex]P(A \cap B)[/tex] is the probability of both A and B happening.
P(A) is the probability of A happening.
In this question:
Event A: Republican
Event B: From a household that makes at least $50,000.
Probability of Republican:
43% of 36%(makes less than $50,000).
55% of 64%(makes more than $50,000).
So
[tex]P(A) = 0.43*0.36 + 0.55*0.64 = 0.5068[/tex]
Republican and from a household that makes at least $50,000.
55% of 64%. So
[tex]P(A \cap B) = 0.55*0.64 = 0.352[/tex]
What is the probability that a randomly selected Republican voter from the exit poll is from a household that makes at least $50,000?
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.352}{0.5068} = 0.6946[/tex]
0.6946 = 69.46% probability that a randomly selected Republican voter from the exit poll is from a household that makes at least $50,000.
The first term of an arithmetic sequence is 4. The common difference is 8. What is the 25th term of sequence
Answer:
196
Step-by-step explanation:
T25=4+(25-1)8
=4+192
T25=196
The 25th term of the arithmetic sequence is 196.
The formula that can be used in finding the nth term of an arithmetic sequence will be: = a + (n - 1)d
where,
a = first term = 4
d = common difference = 8
n = number of terms = 25
Therefore, the 25th term of the sequence will be:
= a + (n - 1)d
= 4 + [(25 - 1) × 8]
= 4 + (24 × 8)
= 4 + 192
= 196
The 25th term is 196.
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Forty families gathered for a fund-raising event. Suppose the individual contribution for each family is normally distributed with a mean and a standard deviation of $105 and $40, respectively. The organizers would call this event a success if the total contributions exceed $4,600. What is the probability that this fund-raising event is a success
Answer:
0.0571 = 5.71% probability that this fund-raising event is a success
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution and the central limit theorem.
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
The organizers would call this event a success if the total contributions exceed $4,600
Forty families, so sample mean above 4600/40 = 115.
Mean and a standard deviation of $105 and $40
This means that [tex]\mu = 105, \sigma = 40[/tex]
Sample of 40
This means that [tex]n = 40, s = \frac{40}{\sqrt{40}} = 6.3246[/tex]
What is the probability that this fund-raising event is a success?
Sample mean above 115, which is 1 subtracted by the pvalue of Z when X = 115. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{115 - 105}{6.3246}[/tex]
[tex]Z = 1.58[/tex]
[tex]Z = 1.58[/tex] has a pvalue of 0.9429
1 - 0.9429 = 0.0571
0.0571 = 5.71% probability that this fund-raising event is a success
Simplify the variable expression below as much as possible.
(4.5)x+ 3x + 2
Answer:
23x +2
Step-by-step explanation:
20x + 3x + 2 = 23x + 2, also close ur curtains ouch
Based on the information given, the value of the expression is 23x + 2.
From the information given, the expression that was given is (4.5)x+ 3x + 2. This simply means that one has to multiply the values in the bracket first and solve it. This will be:
= (4 × 5)x + 3x + 2
= 20x + 3x + 2
= 23x + 2
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Will give brainliest and 50 points to who ever gives me the answer and not a link
Find the surface area of the
triangular prism.
10 ft.
3 ft.
ft.
3 ft.
[?] sq ft.
1/3 of 36 solve using a tape diagram
is this a function? please explain if possible...
It is a function. Every x value is different.
10% of ___ is 14
what is the number
Answer:
140 :)
Hope this helps
Step-by-step explanation:
Tell me if I am right
Please fill in the blanks on the math problems.
Answer:
13) a and b, b and c
14) a = 59°, b = 121°, c = 59°
15) a = 45°, b = 135°, c = 135°
16) a = 72°, b = 108°, c = 108°
What is the volume? 3 m 1 m cubic meters
Answer:
9 cubic meters
Step-by-step explanation:
V = lwh
V = 1 by 3 by 3
Answer:
9 cubic meters
Step-by-step explanation:
1x3x3=9
What is twenty thousand, six hundred two in expanded form?
Answer:
20,000 + 600 + 2 = 20,602
Step-by-step explanation:
twenty thousand = 20,000
six hundred = 600
two = 2
Take those numbers and add them together. You get 20,602
Help please will mark brainliest!!
Answer:
5,4 km
Step-by-step explanation:
we know the area and the width.
the formula of the area of a parallelogram is
A = length x width
if we substitute the values that we know, we have
23,1 = x * 4,3
to find x we have to divide the two members by 4,3
x = 23,3/4,3 = 5,4 km
We Just started learning thus stuff and I'm a little confused
Answer:
The volume of a prism is the area of the base times the height, V=Bh. The volume of a rectangular prism is the length times width times height, V=lwh. The volume of a cube is the length of one side cubed, V=s3.
Step-by-step explanation:
if you don't get it, then i'll just answer.
If 2 tacos and 3 drinks cost $14, and 3 tacos and 2 drinks cost $16, how much does a taco cost?
Answer:
1 taco is $4
Step-by-step explanation:
2t + 3d = 14 4t + 6d = 28
3t + 2d = 16 -9t -6d = -48
-5t = -20
t = 4
A tacos would cost $4.00.
Let the cost of tacos be T.Let the cost of drinks be D.Translating the word problem into an algebraic equation, we have;
[tex]2T \; + \; 3D = 14[/tex] ......equation 1
[tex]3T \; + \; 2D = 16[/tex] ......equation 2
To find how much a tacos cost, we would solve the above system of equations by using the substitution method.
From eqn 1, we would make D the subject of formula;
[tex]D = \frac {14 \; - 2T}{3}[/tex] .....equation 3
Substituting eqn 3 into eqn 2, we have;
[tex]3T \; + \; 2(\frac {14 \; - 2T}{3}) = 16\\\\3T \; + \; \frac {28 \; - 4T}{3} = 16\\\\[/tex]
Lowest common multiple (LCM) = 3
[tex]\frac {9T \; + \; 28 \;- \; 4T}{3} = 16\\\\\\[/tex]
Cross-multiplying, we have;
[tex]9T \; + \; 28 \;- \; 4T = 16 \; * \; 3\\\\5T \; + 28 = 48\\\\5T = 48 \; - 28\\\\5T = 20\\\\T = \frac{20}{5} \\[/tex]
Tacos, T = $4.00
Therefore, the cost of a tacos is $4.00.
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Samuel makes a dozen of mini cupcakes using 5/8 cups of sugar, 3 cups of chocolate chips and 1/2 cup of butter. If each cupcake has an equal amount of sugar, how much sugar is used per cupcake?
I don't what form of measurement to use (like grams, cusp, etc.) but I'm pretty sure it'd be cups
I think it's 5/96 or .05208333
So, 5/8 is .625. Dividing that up in throwing it into 12 cupcakes.
Cara is making 25 sundaes with mint, chocolate, and vanilla ice cream. 1/5 of the sundaes are mint ice cream and 1/2 of the remaining sundaes are chocolate. The rest will be vanilla. How many sundaes will be vanilla?
Answer:
5
Step-by-step explanation:
HOPE THIS HELPS YOU!
brainliest?
Guyyyysss ;( please help me with this
Answer: A) 2+3i
Step-by-step explanation:
Given
2-3i
Solve:
The formula for quadratic function: x=[-b±√(b²-4ac)]/2a
Through the formula, we get two solutions. One of them is 2-3i.
Since the first part is (something)±(something), the other solution will be 2+3i
Hope this helps!! :)
Please let me know if you need further explanations
A bi-monthly sports magazine has 48,000 subscribers when it charges $20 for a one year subscription. For every $1 increase in the yearly subscription price, the magazine assumes that it will lose 2,000 subscribers resulting in the equation below. Using the equation below, how much should the magazine sell for in order to maximize revenues? f (x) = (48,000 – 2,000x) (20 + x)
Answer:
To maximize the profits of the company, the subscription price should be raised to $ 22.
Step-by-step explanation:
Given that a bi-monthly sports magazine has 48,000 subscribers when it charges $ 20 for a one year subscription, and for every $ 1 increase in the yearly subscription price, the magazine assumes that it will lose 2,000 subscribers resulting in the equation below, to determine, Using the equation below, how much should the magazine sell for in order to maximize revenues, the following calculations should be performed:
f (x) = (48,000 - 2,000x) (20 + x)
X = 48,000 x 20 = 960,000
X = (48,000 - 2,000x1) x (20 + 1)
X = 46,000 x 21
X = 966,000
X = (48,000 - 2,000x2) x (20 + 2)
X = 44,000 x 22
X = 968,000
X = (48,000 - 2,000x4) x (20 + 4)
X = 40,000 x 24
X = 960,000
Therefore, to maximize the profits of the company, the subscription price should be raised to $ 22.
i need help with this
9514 1404 393
Answer:
26
Step-by-step explanation:
The question is asking the fraction equivalent of 0.26 (twenty-six hundredths).
That fraction is 26/100 (twenty-six hundredths). The missing number is 26.