Answer:
y>-12
Step-by-step explanation:
y+14>2
y+14-14>2-14
y>-12
A manufacturer of flashlight batteries took a sample of 15 batteries from a day's production and used them
continuously until they failed to work. The life lengths of the batteries, in hours, until they failed.
426
317
545
264
1049
631
512
366
592
562
298
421
678
345
987
At the .05 level of significance, is there evidence to suggest that the mean life length of the batteries produced by this manufacturer is more than 500 hours?
Lucy recently asked the servers at her restaurant to only give straws to customers who request them. She thinks that about half of the customers will ask for straws but hopes that the rate will be less than half. She randomly selects 100 customers and finds that 43 of them ask for a straw. To determine if these data provide convincing evidence that the proportion of customers who will ask for a straw is less than 50%, 150 trials of a simulation are conducted. Lucy is testing the hypotheses: H0: p = 50% and Ha: p < 50%, where p = the true proportion of customers who will ask for a straw. Based on the results of the simulation, the estimated P-value is 0.0733. Using ∝ = 0.05, what conclusion should Lucy reach?
Because the P-value of 0.0733 > Alpha, Lucy should reject Ha. There is convincing evidence that the proportion of customers who will ask for a straw is less than 50%.
Because the P-value of 0.0733 > Alpha, Lucy should reject Ha. There is not convincing evidence that the proportion of customers who will ask for a straw is less than 50%.
Because the P-value of 0.0733 > Alpha, Lucy should fail to reject H0. There is convincing evidence that the proportion of customers who will ask for a straw is less than 50%.
Because the P-value of 0.0733 > Alpha, Lucy should fail to reject H0. There is not convincing evidence that the proportion of customers who will ask for a straw is less than 50%.
Answer:
Because the P-value of 0.0733 > Alpha, Lucy should fail to reject H0. There is not convincing evidence that the proportion of customers who will ask for a straw is less than 50%.
Step-by-step explanation:
To understand this question, you'll have to understand a few terms: the null hypothesis, the alternative hypothesis, the p-value and the signifiance level.
The null hypothesis (H₀) is the assumption that the phenomenon doesn't exist - in this case, it is that the proportion of customers who will ask for a straw is 50%, or due to chance (you can either ask for a straw or not). When doing a statistical test for the existance of a phenomenon, we usually assume the null hypothesis to be true first.
The alternative hypothesis (Hₐ) is the assumption that a phenomenon is true. In this case, it is that that the proportion of customers who will ask for a straw is less than 50%.
The p-value is usually a result you get after performing the statistical test - it's the probability that the observed results are at least as extreme as the results actually observed, assuming that the null hypothesis is true. In this case, assuming that the proportion of customers who will ask for a straw is 50% (the null hypothesis), a p-value of 0.0733 for the observed result of 43 customers means that if the experiment were to be repeated again, then there is a 7.33% chance that 43 customers or less will ask for a straw, assuming the null hypothesis is true. This seems pretty good - assuming the null hypothesis is true, there's only a 7.33% chance that we could have gotten 43 customers or less, which means it may be reasonable to "reject the null hypothesis" (i.e. the alternative hypothesis may be true).
However, in many cases a 7.33% chance may not be low enough, e.g. in this problem, a less than 5% chance (i.e. p < 0.05) is necessary. This required chance for results to be statistically significantly is called the signifiance level, or alpha value, the "the probability of rejecting the null hypothesis when the null hypothesis is in fact true." In scientific journals or depending on the field of study, there may be a generally accepted signifiance level.
During the two hours of the morning rush from 8 a.m. to 10 a.m., 80 customers per hour arrive at the coffee shop. The coffee shop has a capacity of 60 customers per hour. On average how long does a customer arriving during the morning rush wait to be served
Answer:
The average waiting time is 1/3 hours (or 20 minutes)
Step-by-step explanation:
Given
[tex]T = 2hours[/tex] --- Time
[tex]D = 80\ customers/hr[/tex] --- Arrivals
[tex]C = 60\ customers/hr[/tex] --- Capacity
Required
Determine the average waiting time
The average waiting time (AT) is calculated using the following formula:
[tex]AT = \frac{1}{2} * T * (\frac{D}{C} - 1)[/tex]
This gives:
[tex]AT = \frac{1}{2} * 2 * (\frac{80}{60} - 1)[/tex]
[tex]AT = 1*(\frac{80}{60} - 1)[/tex]
[tex]AT = (\frac{80}{60} - 1)[/tex]
Remove bracket
[tex]AT = \frac{80}{60} - 1[/tex]
Take LCM
[tex]AT = \frac{80-60}{60}[/tex]
[tex]AT = \frac{20}{60}[/tex]
[tex]AT = \frac{1}{3} hr[/tex]
or
[tex]AT = \frac{1}{3} * 60\ mins[/tex]
[tex]AT = 20\ mins[/tex]
Use the Binomial Theorem to expand (x + 1)^6
Answer:
Here is what i got x^2+6x^5+15x^4+6x+1
Step-by-step explanation:
^ that mark is for exponents btw. For anyone that is new to this
The Binomial Expansion of [tex](x+ 1)^6[/tex] is [tex]x^6[/tex] + 6[tex]x^5[/tex]y + 15[tex]x^4[/tex]y² + 20x³y³ + 15x²[tex]y^4[/tex] + 6x[tex]y^5[/tex] + [tex]y^6[/tex].
What is Binomial Expansion?An expression that has been raised to any finite power can be expanded using the binomial theorem. A useful expansion technique with applications in probability, probability theory, and algebra is the binomial theorem. A binomial expression is an algebraic expression with two terms that are not the same.
Given:
We have to expand [tex](x+ 1)^6[/tex]
We know the general form of Binomial Expansion
(x + y[tex])^n[/tex] = C(n, 0) [tex]x^ny^0[/tex] + C(n, 1) [tex]x^{n-1}y^1[/tex] +.........+ C(n, n) [tex]x^0y^n[/tex]
Here n= 6
So, the expansion of [tex](x+ 1)^6[/tex] is
= C(6, 0) [tex]x^6y^0[/tex] + C(6, 1)[tex]x^5y^1[/tex] + C(6, 2) [tex]x^4y^2[/tex] + C(6, 3) x³y³ + C(6, 4) x²[tex]y^4[/tex] +
C(6, 5) x[tex]y^6[/tex] + C(6, 6) [tex]x^0y^6[/tex]
= [tex]x^6[/tex] + 6[tex]x^5[/tex]y + 15[tex]x^4[/tex]y² + 20x³y³ + 15x²[tex]y^4[/tex] + 6x[tex]y^5[/tex] + [tex]y^6[/tex]
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What are terms in a polynomial separated by ?
Answer:
Terms are separated by addition signs and subtraction signs, but never by multiplication sign
Step-by-step explanation:
A polynomial with one term is called a monomial. A polynomial with two terms is called a binomial. A polynomial with three terms is called a trinomial.
A candy shop puts together two prepackaged assortments to be given to trick-or-treaters on Halloween. The feasible set for producing x packages of assortment A and y packages of assortment B has been graphed to the right. For the earnings function Earningsxy, where Earnings is in cents, how many of each assortment should be prepared in order to maximize profits? What is the maximum profit? 0 600 0 600 x y A coordinate system has a horizontal x-axis labeled from 0 to 600 in increments of 120 and a vertical y-axis labeled from 0 to 600 in increments of 120. A four-sided polygon labeled as the feasible set is formed by a series of line segments and their intersection with the x-axis and y-axis. The line segments are labeled as follows: y equals negative 2 x plus 600; y equals negative x plus 350. The shop should prepare nothing packages of assortment A and nothing packages of assortment B to maximize profit. (Type whole numbers.) The maximum profit is $ nothing. (Round to the nearest cent as needed.)
Answer:
Step-by-step explanation:
The correct question is attached in the image below;
From there, given that: the earnings = 60x + 50 y ------ (1)
y = -x + 175
for x = 0 ⇒ y = 175 ; Then Point A (0, 175)
y = -2x + 300
for y = 0 ⇒ x = 150 ; Then Point C (150, 0)
For Point B;
y = -x + 175 ---- (a)
y = -2x + 300 ---- (b)
Equating both (a) and (b) from above together; then:
⇒ -x + 175 = -2x + 300
⇒ x = 125
∴
From y = -x + 175
y = -125 + 175
y = 50
So point B ( 125, 50)
Now, the points are O(0, 0), A(0, 175), B(125, 50), C(150, 0)
As such, profit at these points are:
O(0, 0), Profit = 60 × 0 + 50 × 0 = 0
A(0, 175), Profit = 60 × 0 + 50 × 175 = 8750
B(125, 5), Profit = 60 × 125 + 50 × 50 = 10,000
C(150, 0), Profit = 60 × 150 + 50 × 0 = 9000
Hence, maximum profit takes place at B(125, 50) which is = $10,000
Finally, we can conclude that the shop should prepare 125 packages of assortment A and 50 packages of assortment B to maximize profit.
The maximum profit is $10,000
a triangle has one angle that measures 32 degrees and one angle that measures 102degrees. the measure of the triangle's thrid angle is what degrees?
46
Step-by-step explanation:
all angles must add to 180
32+102= 134
180-134= 46
correct me if im wrong:)
how do I simplify 2y > 4
Answer and Step-by-step explanation:
Divide both sides by 2 to get y.
2y > 4
y > 2
y > 2 is the answer.
#teamtrees #PAW (Plant And Water)
can someone help me with this please
Answer:
I': (-1, 4)
J': (3, 5)
K': (3, 2)
Step-by-step explanation:
to find the new 'x' values, add 2 to original 'x' values
to find the new 'y' values, add 6 to original 'y' values
18. Let f(x) = ax? + bx-6 and 0 (x) = bx2 + ax.
If x-2 divides f(x) completely but leaves
the remainder -12 when it divides $(x),
then factorise f (x) + 0 (x) + 2x2.
Step-by-step explanation:
the number of members in A municipal corporation depends upon the _______ city
Please ASAP someone help with this Math It's a missing assignment and it needs to be done and I don't know!!!!!!!!!!!!!!
Solve the following inequalities and give the solutions in both set and interval notations.
-x/8 + 8/3 ≥ 3
Given:
The inequality is
[tex]-\dfrac{x}{8}+\dfrac{8}{3}\geq 3[/tex]
To find:
The solution for the given inequality in both set and interval notations.
Solution:
We have,
[tex]-\dfrac{x}{8}+\dfrac{8}{3}\geq 3[/tex]
It can be written as
[tex]-\dfrac{x}{8}\geq 3-\dfrac{8}{3}[/tex]
[tex]-\dfrac{x}{8}\geq \dfrac{9-8}{3}[/tex]
[tex]-\dfrac{x}{8}\geq \dfrac{1}{3}[/tex]
Multiply both sides by -8 and change the inequality sign.
[tex]x\leq -\dfrac{8}{3}[/tex]
It means all the values of [tex]x[/tex] which are less than or equal to [tex]-\dfrac{8}{3}[/tex] are included in the solution set.
Set notation is [tex]\{x|x\leq -\dfrac{8}{3}\}[/tex].
Interval notation is [tex]\left(-\infty,-\dfrac{8}{3}\right ][/tex].
A jug contains 4 gallons of water. How many quarts of water does the jug contain? The jug contains quarts of water.
Answer:
It contains 16 quarts of water
Step-by-step explanation:
Just do 4 gallons by the 4 quarts in one gallon and youll get 16
Answer:
One gallon is equivalent to four quarts. so 4 gallons equal 4×4=16 quarts.
Find the measure of 67.
81
96
90
47 = [?]
Entor
Answer
Correct option is
A
68
Answer:
96 is the answer because vertically opposite angles are always equal
What percent of a dollar is a nickel and a penny?
It is ______% of a dollar.
Answer:
6 %
Step-by-step explana
100 pennies makes a dollar... you just add 5 for the nickel and 1 fo the penny and it makes 6
find the product 240 * 5.07
Answer:
1216.8
Step-by-step explanation:
Multiply 240 by 5.07 . 1216.8
At a graduation dinner, an equal number of guests were seated at each of 12 large tables, and 8
late-arriving guests were seated at a smaller table. There were 128 guests in all. If n represents the
number of people seated at each of the large tables, what equation could you use to find the value
of n?
A. 12n - 8 = 128
B. 12n +8 = 128
C. 8n + 12 = 128
D. 8n - 12 = 128
Pls help me with the question
solve the systems by elimination
-x+5y=17
x + 2y =11
they are both different equations but they are the same question
I WILL GIVE BRAINLIST!! The perimeter of ABCD is 140. Solve for x, y, and z
* there is picture down below*
Answer:
ABCD is a kiteProperties:
AB = AD, CB = CD, AC⊥DB, AC is angle bisector of DAB and DCBFind x:
P = 140 2(2x + 7 + 4x +3) = 1406x + 10 = 706x = 60x = 10Find y:
3y - 1 and 28° are complementary3y - 1 = 90° - 28°3y - 1 = 62°3y = 63°y = 21°Find z:
4z and 58° are complementary4z = 90° - 584z = 32°z = 8°Answer:
x=10
y = 21°
z=8°
Step-by-step explanation:
we have
AB = AD, CB = CD,
AC perpendicular to DB, AC is angle bisector of DAB and DCB
Perimeter = 140
2(2x + 7 + 4x +3) = 140
6x + 10 = 70
6x = 60
x = 60/6=10
x=10
again
3y - 1 +28° =90
3y - 1 = 90° - 28°
3y - 1 = 62°
3y = 63°
y = 21°
again
4z+58°=90
4z = 90° - 58
4z = 32°
z=32/4
z=8°
Q6 A man is going to New York for work. He wants
to book a hotel online.
A friend says
"Remember the booking website will show the price in dollars. It will actually cost more
pounds than the price shown, because of the exchange rate.'
The man checks the exchange rate because he thinks his friend is wrong. He thinks that
the number of pounds will be less than the number of dollars shown.
Exchange rate
£1 = $1.24
Who is right,
the man or his friend?
Explain your answer.
Answer:
The man
Step-by-step explanation:
Let's say the hotel cost $12400(just an example...)
So the website will show $12400. And the man needs to pay $12400.
Since one pound is 1.24 dollars, 12400 dollars will be 12400/1.24=10000 pounds.
12400>10000, so the man is right, the number of pounds will be less than the number of dollars shown.
The man is right about the Exchange rate.
what is Exchange Rate?The rate at which one currency will be exchanged for another is known as the exchange rate. The most frequent types of currencies are national currencies,
A currency's relative value expressed in terms of another currency is called an exchange rate (or group of currencies). The exchange rate is a significant economic variable for nations with active international trade, like Australia.
Given:
The Situation is The man's friend told him that " It will actually cost more
pounds than the price shown, because of the exchange rate."
This means the price in pounds is more than dollar.
But the exchange rate is found to be
£1 = $1.24
So, the price in dollar is more than in pounds.
Hence, the Men is correct.
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Which of the following choices are equivalent to the expression below? Check all that apply x8/5
5 is the denominator of the fraction, so you can pull the denominator out as a radical to get A. (x^8)^1/5 or D. [tex]\sqrt[5]{x^8}[/tex]
math question
area of figure
Answer:
We divide it into 3 rectangles:
A rectangle with sides 19mi and 5mi,
a rectangle with sides 1mi and 31mi,
and a rectangle with sides 10mi and 20mi,
so we get 95 + 31 + 200 = [tex]\boxed{326}[/tex]
Hope this helps!
1+1+1+1
If you get it correct 65 points lol
Which you probably will
Points wasted
Answer:
4
Step-by-step explanation:
Write the phrase as an algebraic expression.
Two less than seven times a number c is written as
.
Answer: 7c-2
Step-by-step explanation:
There are four people in a family-a father, a mother and two children-and they have won two tickets to go to Disneyland for a week. They decide to select a sample of two people for the trip as follows: the mother and father flip a coin to see which of the two of them will go, and they then flip a coin to see which of the two children will go. Which of the following is true?
Can you help me do thiss? pls
Answer:
walk = 9/30 - bike = 3/30 - car = 6/30 - bus = 12/30
Step-by-step explanation:
FIND THE AREA OF A TRIANGLE
Answer:
80
So, the area A of a triangle is given by the formula A=12bh where b is the base and h is the height of the triangle. Example: Find the area of the triangle. The area A of a triangle is given by the formula A=12bh where b is the base and h is the height of the triangle.
I need help ASAP will mark the brainliest
Answer:
so it's difficult to do
i try
I need to help u
norma made the graph below to show the relationship between the age and value of 12 cars. Which value, when removed from the graph, would result in the relationship being a function?
6) You decide to buy food for your baseball team. Hamburgers cost $3.50 and hotdogs cost $2.50. After buying 22 items, the total cost is $68. How many hotdogs did you buy? How many hamburgers did you buy?
Answer:
13 hamburgers and 9 hot dogs
Step-by-step explanation:
Answer:
13 hamburgers
9 hotdogs
I see the person that also gave you an answer never explained how they got the answer. I thought you might like an explanation
Step-by-step explanation:
Let x = no. of hamburgers
y = no. of hotdogs
(1) x + y = 22 (2) 3.5x + 2.5y = 68
y = 22 - x 35x + 25y = 680
35x + 25(22 - x) = 680
35x + 550 - 25x = 680
10x + 550 = 680
10x = 130
x = 13 hamburgers
y = 22 - x = 22 - 13 = 9 hotdogs