Answer:
The pvalue of the test is 0.177 > 0.02, which means that at α=0.02, you cannot reject the company's claim.
Step-by-step explanation:
A company that makes cola drinks states that the mean caffeine content per 12-ounce bottle of cola is 35 milligrams. You want to test this claim.
At the null hypothesis, you test that the mean caffeine content is of 35 milligrams, that is:
[tex]H_o: \mu = 35[/tex]
And at the alternate hypothesis, you test if the content is different from 35, so:
[tex]H_a: \mu \neq 35[/tex]
The test statistic is:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.
35 is tested at the null hypothesis:
This means that [tex]\mu = 35[/tex]
During your tests, you find that a random sample of thirty 12-ounce bottles of cola has a mean caffeine content of 36.8 milligrams. Assume the population is normally distributed and the population standard deviation is 7.3 milligrams.
This means that [tex]n = 30, X = 36.8, \sigma = 7.3[/tex]
Value of the test statistic:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
[tex]z = \frac{36.8 - 35}{\frac{7.3}{\sqrt{30}}}[/tex]
[tex]z = 1.35[/tex]
Pvalue of the test and decision:
The pvalue of the test is the probability of the mean caffeine content differing from the mean by at least 36.8 - 35 = 1.8, which is P(|z| > 1.35), which is 2 multiplied by the pvalue of z = -1.35.
Looking at the z = -1.35 has a pvalue of 0.0885
2*0.0885 = 0.177
The pvalue of the test is 0.177 > 0.02, which means that at α=0.02, you cannot reject the company's claim.
Select THREE equivalent expressions that show how you could factor 16x-48
2(8x-24)
4(4x-12)
2(8x-48)
16(X-3)
X(16+3)
Divide £104 in the ratio 3:5
Answer:
39:65
Step-by-step explanation:
104/(3+5) = 104/8 = 13 13(3):13(5) = 39:65
numbers greater than 10 from 1 to 15
bro just count?????? 11, 12, 13, 14, 15??????
Answer:
11,12,13,14,15
Step-by-step explanation:
The number scale goes like this 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 so look at the numbers in between 10 and 15 except dont count in ten because they have to be greater the 10. so therefor 11,12,13,14,15 :)
what choices are solutions for equation x^2-3x = -5/4
Here's the solution,
=》
[tex] {x}^{2} - 3x = - \dfrac{5}{4} [/tex]
=》
[tex] {x}^{2} - 3x + \dfrac{5}{4} = 0[/tex]
now, let's multiply the whole equation with 4
=》
[tex]4 {x}^{2} - 12x + 5 = 0[/tex]
=》
[tex]4 {x}^{2} - 10x - 2x + 5= 0[/tex]
=》
[tex]2x(2x - 5) - 1(2x - 5) = 0[/tex]
=》
[tex](2x - 1)(2x - 5) = 0[/tex]
so,
Case 1. where, 2x - 5 = 0
=》
[tex]x = \dfrac{5}{2} [/tex]
case 2. where, 2x - 1 = 0
=》
[tex]x = \dfrac{1}{2} [/tex]
Translate into PROP, using the conventions.
a. Pia is guilty only if Raquel is.
b. Pia is guilty if Raquel is.
c. If Quinn or Raquel is guilty, then Pia is too.
d. If neither Pia nor Quinn is guilty, then neither Raquel nor Stan is guilty.
e. If Pia is guilty, then if Raquel is guilty then Quinn is guilty.
Answer:
The associated PROPS are as follows:
a:[tex]P\rightarrow R[/tex]
b: [tex]R\rightarrow P[/tex]
c:[tex](Q \vee R)\rightarrow P[/tex]
d:[tex]\sim(P \lor Q)\rightarrow \sim(R \lor S)[/tex]
e:[tex]P\rightarrow (R\rightarrow Q)[/tex]
where
P is Pia is guilty
R is Raquel is guilty
Q is Quinn is guilty
S is Stan is guilty
Step-by-step explanation:
When only if is used the conditional antecedent and consequent are interchanged thus the first one is written as such.
In addition to this, the different symbols are used such that their logical meanings are clear.
This equation calculates the value, P, of an account with an initial deposit of P0 and an interest rate of r compounded n times per year after t years.
P = P0 (1+r/n)nt
Vanessa deposits $700 in a savings account with an interest rate of 2% compounded monthly. Assuming she neither adds to nor withdraws from the account, what will be the approximate value of the account in 7 years?
А. $889.57
B. $887.77
C. $714.13
D $805.10
Answer:D
Step-by-step explanation:
Plug in 700 for P0, .02 for r, 12 for n and n, and 7 for 5.
Approx value of the account in 7 years will be 805.10$.
What is compound interest?Simple interest and compound interest are the two methods for calculating interest. Simple interest is computed on a loan's principal, or initial loan amount. Compound interest is sometimes referred to as "interest on interest" since it is computed using both the principal and the accrued interest from prior periods.
Given that equation calculates the value, P, of an account with an initial deposit of P0 and an interest rate of r compounded n times per year after t years.
P = P0 (1+r/n)nt
Vanessa deposits $700 in a savings account with an interest rate of 2% compounded monthly. Assuming she neither adds to nor withdraws from the account.
Hence, initial deposit:$700.00
Interest rate:2% yearly
Time:7 years
Compounding: Monthly so n = 12
put these values in the given equation. we will get P = 805.10
Therefore the value of the account in 7 years will be 805.10$.
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Select the line that is equivalent to 5x +2y=6.
Answer: It will be C, 5x + 2y = 6 is equivalent to y = -5/2x + 3
The equivalent equation for the given is y=-5/2x+3. Therefore, option A is the correct answer.
What is the equation of a line?The general equation of a straight line is y=mx+c, where m is the gradient, and y = c is the value where the line cuts the y-axis. This number c is called the intercept on the y-axis.
The given equation is 5x +2y=6.
The equivalent equation is 2y=-5x+6
y=-5/2x+6/2
y=-5/2x+3
Therefore, option A is the correct answer.
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Select the line that is equivalent to 5x +2y=6.
A) y=-5/2x+3
B) y=5/2x-3
C) y=-2/5x+6/5
D) y=2/5x-6/5
Anybody know the answers?
Answer:
1 adult = 16 students
a = 16x
Step-by-step explanation:
WILL GIVE BRAINLIEST TO THE RIGHT ANSWER
Tabitha and Paco are in a video game room that consists of 10 games. How many different ways can they play all 10 games if they play each game once?
A.362,880
B.20
C.3,628,800
D.55
Answer:
Its C
Step-by-step explanation:
Kaitlin walks 2.5km every day. How far does she walk in 5 days?
Answer:
12.5km
hope this helps
have a good day :)
Step-by-step explanation:
Answer:12.5Km
Step-by-step explanation:
You do 2.5 x 5
Estimate 719 – 274. Round each number first.
A candle shop owner collected data on customers’ favorite scents, as shown in the table.
Lavender 0.31
Vanilla 0.18
Cinnamon 0.23
Floral ?
Coconut ?
A customer is randomly selected. If the probabilities of a customer choosing floral and coconut as their favorite scents are the same, what is the value of the missing probabilities?
0.10
0.14
0.20
0.28
Answer:
Step-by-step explanation:
It's 14
The missing probabilities for Floral and Coconut are both 0.14.
To find the missing probabilities for Floral and Coconut, we need to consider that the sum of all probabilities must equal 1.
Let's calculate the missing probabilities:
The sum of the given probabilities is:
0.31 + 0.18 + 0.23 = 0.72
Since the sum of all probabilities must equal 1, we subtract the sum of the given probabilities from 1 to find the remaining probability:
1 - 0.72 = 0.28
Since the probability of Floral and Coconut is the same, we divide the remaining probability equally between the two scents:
0.28 / 2 = 0.14
Therefore, the missing probabilities for Floral and Coconut are both 0.14.
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Find the perimeter of an isosceles triangle with a base of 48 in and a height of 14 in.
will mark brainlist dont give me that link
Answer:
I think the answer is 103.6
Step-by-step explanation:
divide the base by 2, which will give you 24 and find the hypoteneuse with Pythagorean theorem
(14)^2 + (24)^2 = /742 = 27.8
27.8x2 + 48 = 103.6
hope that answers your question
6. Find the 20 ^ (th) term of the arithmetic sequence. 42,28,14,0,-14,...
Step-by-step explanation:
[tex]U _{ {20}^{th} } = a + (n - 1)d \\ = 42 + (20 - 1) \times 14 \\ = −252[/tex]
Help!
△LMN is the result of a reflection of △XYZ across the y-axis.
Which angle in the image corresponds to ∠X in the pre-image?
∠L
∠M
∠N
Answer:
∠X in the pre-image will be equal to ∠L in the main image
Step-by-step explanation:
△LMN is the result of a reflection of △XYZ which means △LMN is the mirror image △XYZ
hence, the left of △XYZ will be equivalent to the right of △LMN and the right of △XYZ will be equivalent to the left of △LMN
Hence, ∠X in the pre-image will be equal to ∠L in the main image
You are rolling a pair of dice what's is the probability of getting different numbers on both dice
Answer:
[tex]Pr = 0.833[/tex]
Step-by-step explanation:
Given
A roll of a pair of dice
Required
The probability of getting different numbers
First, list out the sample space;
We have:
[tex]S = \{(1, 1) (1, 2) (1, 3) (1, 4) (1, 5) (1, 6),(2, 1) (2, 2) (2, 3) (2, 4) (2, 5) (2, 6),[/tex]
[tex](3, 1) (3, 2) (3, 3) (3, 4) (3, 5) (3, 6),(4, 1) (4, 2) (4, 3) (4, 4) (4, 5) (4, 6)[/tex]
[tex](5, 1) (5, 2) (5, 3) (5, 4) (5, 5) (5, 6), (6, 1) (6, 2) (6, 3) (6, 4) (6, 5) (6, 6)\}[/tex]
The total is:
[tex]Total = 36[/tex]
The outcomes of the different numbers are:
[tex]Different = \{(1, 2) (1, 3) (1, 4) (1, 5) (1, 6),(2, 1) (2, 3) (2, 4) (2, 5) (2, 6),[/tex]
[tex](3, 1) (3, 2)(3, 4) (3, 5) (3, 6),(4, 1) (4, 2) (4, 3) (4, 5) (4, 6)[/tex]
[tex](5, 1) (5, 2) (5, 3) (5, 4) (5, 6), (6, 1) (6, 2) (6, 3) (6, 4) (6, 5) \}[/tex]
The total is:
[tex]Different = 30[/tex]
So, the probability of having a different outcome is:
[tex]Pr = \frac{Different}{Total}[/tex]
[tex]Pr = \frac{30}{36}[/tex]
[tex]Pr = 0.833[/tex]
7 1/8 - 3 5/8 plz help me on this math
Answer:
7/2 or 3 1/2
Step-by-step explanation:
Which expression says," 11 less than twice n?"
(1) 11 - 2n
(2) 11 + 2n
(3) 2n - 11
(4) 2n + 11
Answer:(1) 11-2n is the correct answer
Step-by-step explanation:
hope it helps you
Lily invested $12,300 in an account for 15 years that compounds interests continuously at rate of 3.75%. What is her account worth after that time?
Answer:
3,075
Step-by-step explanation:
According to a 2018 survey by Bankrate, 20% of adults in the United States save nothing for retirement (CNBC website). Suppose that sixteen adults in the United States are selected randomly. What is the probability that three or less of the selected adults have saved nothing for retirement
Answer:
0.5981 = 59.81% probability that three or less of the selected adults have saved nothing for retirement
Step-by-step explanation:
For each adult, there are only two possible outcomes. Either they save nothing for retirement, or they save something. The probability of an adult saving nothing for retirement is independent of any other adult. This means that the binomial probability distribution is used to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
20% of adults in the United States save nothing for retirement (CNBC website).
This means that [tex]p = 0.2[/tex]
Suppose that sixteen adults in the United States are selected randomly.
This means that [tex]n = 16[/tex]
What is the probability that three or less of the selected adults have saved nothing for retirement?
This is:
[tex]P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)[/tex]
In which
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{16,0}.(0.2)^{0}.(0.8)^{16} = 0.0281[/tex]
[tex]P(X = 1) = C_{16,1}.(0.2)^{1}.(0.8)^{15} = 0.1126[/tex]
[tex]P(X = 2) = C_{16,2}.(0.2)^{2}.(0.8)^{14} = 0.2111[/tex]
[tex]P(X = 3) = C_{16,3}.(0.2)^{3}.(0.8)^{13} = 0.2463[/tex]
[tex]P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) = 0.0281 + 0.1126 + 0.2111 + 0.2463 = 0.5981[/tex]
0.5981 = 59.81% probability that three or less of the selected adults have saved nothing for retirement
One day, a group of people had a driving test.
40 of this group were men and the rest were women.
5/3 of the men and
3/2 of the women passed the driving test.
The number of men and women that passed the driving test was the same.
Work out the number of women that took the driving test that day.
Please some help would be greatly appreciated with this question as it is imperative to me that i solve it
thanks
Answer:
every other night another $1 getting made
Step-by-step explanation:
Answer:
eeeeeeeeeeee nose
Step-by-step explanation:
Ron has 17 coins with a total value of $2.75. The coins are dimes (10 cents) and quarters (25 cents). How many of each coin does he have?
Ron has ___dimes and ___ quarters.
Answer:Ron has 5 dimes and 9 quarters
Step-by-step explanation:
Lets try 9 quarters,
9x25= 225
275-225=50
50/10(Dime value)
5, Ron has 5 dimes and 9 quarters
What is the answer to Wednesday's Warm-up??????
Answer:
16
Step-by-step explanation:
Answer:
h = 16
Step-by-step explanation:
Ratios:
[tex]\frac{h}{24} =\frac{4}{6} \\\\6h=96\\h=16[/tex]
Find the value of y. It’s geometry hw! plz only answer if you know how to do this. thank you
Answer:
48
Step-by-step explanation:
Imagine that all of the other angles within the circle are gone except for the angle "y".
Now kindly look at the image.
We would be left with angle y as the inscribed angle and 96° for the measure of the intercepted arc.
The relationship between intercepted arcs and inscribed angles is that the inscribed angle is equal to half the measure of the intercepted arc.
So y is equal to half of the measure of its intercepted arc. ( Which in this case has a measure of 96° )
so y = [tex]\frac{96}{2}[/tex]
96/2=48
Hence the value of y is 48
Which of the following represents a geometric sequence?
I 1/4,1/4,1/4,1/4
II 1/4,1/5,1/6,1/7
III 1/4,1,-4,16
IV 1/4,-4,1/4,-4
OOOO
A. I
B. II
C. III
D. IV
Next
Save and Exit
Answer:
A. I
Step-by-step explanation:
The other person is wrong and I took the test
Write and solve a proportion to find the missing value. Then find the measure of \overline{LT}
LT
.
35
Step-by-step explanation:
Find the area of the figure.
PLS I NEED HELP FAST I BEG YOU!
somebody please help me i’ve been stuck on this for an hour...it’s a maze work sheet so it’s one of the fractions.
Answer:
The probability is 2/11 or 7/95. I don't know if this is the correct answer but I am guessing it is.
Step-by-step explanation:
Hope this helps you :)
Answer:
Probability for first letter to be a vowel is 5/11. When you take it out you’re left with 10 overall letters and 4 more vowels so the probability that the second letter is a vowel is 4/10 if you already took a vowel in the first take.
Probability for your occurence is (5/11)*(4/10)=20/110=2/11
Select all that are equal to 3. log28 log416 log327 log101,000
Answers on edg. are:
log2 8
log3 27
log10 1,000
Step-by-step explanation:
Yo just trust me ight
4−(3−5)=.
does anyone know what this is ??