Answer:
y = -1/16 (x-3)^2 - 1: This is the vertex form
y = -1/16x^2 + 6/16x - 25/16: This is the standard form.
Step-by-step explanation:
Got the answer right when I did the question.
Answer:
use this link it is a parabola solver https://www.emathhelp.net/calculators/algebra-2/parabola-calculator/
Step-by-step explanation:
help asap pls..........
Which expression has a value of two-third
ABCD is a rectangle. Find the m angle ACD.
to answer, there are 4 angles in a rectangle. each angle has the same measure. 360/4=90. the angle measures 90 degrees
Which statement is true for the values of Pand Q on this number line? + Q + -2 1 -4 -3 0 1 A 응 4 B. PxQ5 C P+Q> -4 D P - Qo
The CEO of a large manufacturing company is curious if there is a difference in productivity level of her warehouse employees based on the region of the country the warehouse is located. She randomly selects 35 employees who work in warehouses on the East Coast (Group 1) and 35 employees who work in warehouses in the Midwest (Group 2) and records the number of parts shipped out from each for a week.
She finds that East Coast group ships an average of 1276 parts and knows the population standard deviation to be 347.
The Midwest group ships an average of 1439 parts and knows the population standard deviation to be 298.
Using a 0.01 level of significance, test if there is a difference in productivity level. What is the test statistic?
(Round to 4 decimal places)
z =
please use excel to solve
Answer:
The test statistic is z = -2.11.
Step-by-step explanation:
Before finding the test statistic, we need to understand the central limit theorem and subtraction of normal variables.
Central Limit Theorem
The Central Limit Theorem establishes 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.
Subtraction between normal variables:
When two normal variables are subtracted, the mean is the difference of the means, while the standard deviation is the square root of the sum of the variances.
Group 1: Sample of 35, mean of 1276, standard deviation of 347.
This means that:
[tex]\mu_1 = 1276, s_1 = \frac{347}{\sqrt{35}} = 58.6537[/tex]
Group 2: Sample of 35, mean of 1439, standard deviation of 298.
This means that:
[tex]\mu_2 = 1439, s_2 = \frac{298}{\sqrt{35}} = 50.3712[/tex]
Test if there is a difference in productivity level.
At the null hypothesis, we test that there is no difference, that is, the subtraction is 0. So
[tex]H_0: \mu_1 - \mu_2 = 0[/tex]
At the alternate hypothesis, we test that there is difference, that is, the subtraction is different of 0. So
[tex]H_1: \mu_1 - \mu_2 \neq 0[/tex]
The test statistic is:
[tex]z = \frac{X - \mu}{s}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis and s is the standard error.
0 is tested at the null hypothesis:
This means that [tex]\mu = 0[/tex]
From the two samples:
[tex]X = \mu_1 - \mu_2 = 1276 - 1439 = -163[/tex]
[tex]s = \sqrt{s_1^2+s_2^2} = \sqrt{58.6537^2+50.3712^2} = 77.3144[/tex]
Test statistic:
[tex]z = \frac{X - \mu}{s}[/tex]
[tex]z = \frac{-163 - 0}{77.3144}[/tex]
[tex]z = -2.11[/tex]
The test statistic is z = -2.11.
What is the lateral surface area, in square inches, of the figure formed by the net?
Answer:
71 in²
Step-by-step explanation:
surface area = (4×6)+(2×½×4×5)+(2×½×6×4.5)
= 24+20+27 = 71 in²
Kim rolls a dice and flips a coin
a) Calculate the probability that she
gets a 2 and a head.
b) Work out the probability that she
gets an even number and a tail.
a)
Probability is
Answer:
2
Step-by-step explanation:
a) Calculate the probability that she
b) Work out the probability that she
gets an even number and a tail.
a)
Probability is
Neveah invested $80,000 in an account paying an interest rate of 5 1/8% compounded continuously. Aaliyah invested $80,000 in an account paying an interest rate of 5 3/8% compounded monthly. After 13 years, how much more money would Aaliyah have in her account than Nevaeh, to the nearest dollar ? PLEASE HELP
Answer:
$4894
Step-by-step explanation:
Answer:
4894
Step-by-step explanation:
Use the Greatest common factor and the distributive property to write equivalent expressions in factored form 24f + 56g *
Answer:
8(3f + 7g)
Step-by-step explanation:
The GCF of 24 and 56 is 8.
24f + 56g
8(3f + 7g)
PLZZ no files
Marcos needs to buy a piece of fabric with a length of 1.3 meters. The fabric costs $0.45 per inch.
Marcos determines the calculation as 1.3m
100cm
1m
(2.54cm
$0.45
lin.
= 148.59.
lin
What is the error in Marcos' reasoning, and how much will the fabric cost?
А
Marcos made an incorrect conversion from centimeters to inches. The correct price is $23.03.
B
Marcos made an incorrect conversion from centimeters to inches. The correct price is $14.86.
С
Marcos made an incorrect conversion from meters to centimeters. The correct price is $23.03.
D
Marcos made an incorrect conversion from meters to centimeters. The correct price is $14.86.
I’m
Answer:
А . Marcos made an incorrect conversion from centimeters to inches. The correct price is $23.03.
Step-by-step explanation:
Given that,
Length of fabric = 1.3 meters
We know that,
1 m = 100 cm
⇒1.3 m = (1.3)×100 = 130 cm
⇒1.3 m = 130 cm
Now,
We know that
1 inch = 2.54 cm
and
1 cm = 0.3937 inches
⇒130 cm = (130)×(0.3937) inches
= 51.181 inches
⇒130 cm = 51.181 inches
Now,
Given that,
Cost of 1 inch = $0.45
⇒Cost of 51.181 inches = $(51.181)×(0.45)
= $ 23.03
∴ we get
The cost of fabric = $23.03
and
The correct option is - А . Marcos made an incorrect conversion from centimeters to inches. The correct price is $23.03.
Write 42 as a complex number.
Answer:iStep-by-step explanation:
i^42
Question 14 (5 points)
What are the next 4 terms of the sequence 2, 4, 8, 16, ...?
OA) 32, 64, 128, 256
B) 25, 36, 49,64
C) 24, 32, 40, 48
D) 8, 4, 2,0
Answer:A
Step-by-step explanation:
Russell surveyed 16 students at his school and found that 4 of them planned to take orchestra as their next elective. If Russell surveys 12 more students, how many of them are probably planning on taking orchestra as an elective, based on past data?
Answer:3
Step-by-step explanation:
The probability that the number of students who take orchestra as an elective is 1/4 and the number of students who joined extra is 4
What is Probability?The probability that an event will occur is measured by the ratio of favorable examples to the total number of situations possible
Probability = number of desirable outcomes / total number of possible outcomes
The value of probability lies between 0 and 1
Given data ,
Let the probability that the number of students who take orchestra as an elective be represented as P
Now , the equation will be
The total number of students = 16 students
The number of students who opted for orchestra as elective = 4 students
So , the probability that the number of students who take orchestra as an elective P = number of students who opted for orchestra as elective / total number of students
Substituting the values in the equation , we get
The probability that the number of students who take orchestra as an elective P = 4/16
The probability that the number of students who take orchestra as an elective P = 1/4 = 25 %
Now , when the number of students = 16 + 12 = 28 students
The probability that the number of students who take orchestra as an elective P₁ = ( x + 4 ) / 28
Substituting the values in the equation , we get
1/4 = ( x + 4 ) / 28
Multiply by 28 on both sides of the equation , we get
x + 4 = 7
Subtracting 4 on both sides of the equation , we get
x = 3 students
So , the number of students who will take orchestra from the group of 12 students is 3 students
Hence , the probability is 1/4
To learn more about probability click :
https://brainly.com/question/17089724
#SPJ6
10 points, solve a right triangle
Answer:
WX= 10.4
XY= 6
Angle W= 30
Step-by-step explanation:
I attached a picture of the work, I'm not sure if side WX is rounded correctly, but I'm definitely sure side XY and angle W are correct.
A waitress worked 5 hours at the pizzeria and earned $59.25. How much would the waitress expect to earn in 8 hours?
Answer: 94.80
Step-by-step explanation:
First, let's divide the salary she made from 5 hours of work by 5 in order to see how much she makes in a single hour.
[tex]\frac{59.25}{5} = 11.85 per hour[/tex]
Multiply this by 8 to find her amount made in 8 hours.
11.85 x 8 = 94.80
Anastasia hits her golf ball off the tee. The height of the golf ball is modeled by the function f(x) =-5x^2+25x+1, where x is the number of seconds after the golf ball is hit. How long is the golf ball in the air?
9514 1404 393
Answer:
5.04 seconds
Step-by-step explanation:
Assuming the ball is in the air until f(x) = 0, we want to find x such that ...
0 = -5x² +25x +1
0 = x² -5x -1/5 . . . . . divide by -5
1/5 = x² -5x . . . . . . . add 1/5
1/5 +25/4 = (x² -5x +25/4) . . . . complete the square
129/20 = (x -5/2)² . . . . . . . . . . write as a square
x = 5/2 +√(129/20) ≈ 5.039685 . . . . square root, add 5/2
The ball stays in the air about 5.04 seconds.
A utility company was interested in knowing if agricultural customers would use less electricity during peak hours if their rates were different during those hours. (Agricultural energy use is substantial, for things like irrigation, lighting, wind turbines to reduce frost damage, and so on.) Customers who volunteered for the study were randomly assigned to continue to get standard rates or to receive the time-of-day rate structure. Special meters were attached that recorded usage during peak and off-peak hours, which the customers could read. The technician who read the meter did not know what rate structure each customer had.
a. What was the explanatory variable in this experiment?
b. What was the response variable in this experiment?
c. Was this experiment single-blind, doubleblind, or neither? Explain.
d. Did this experiment use matched pairs, blocks, or neither? Explain.
Answer:
A) Status of Rate structure
B) Rate of usage of Electricity
C) Double blind
D) Neither
Step-by-step explanation:
A) The Explanatory variable is the Status of Rate structure during peak hours
B) The response Variable
The response variable in this experiment is the rate of usage of Electricity
( i.e. via meter readings )
C) The experiment can be considered a double -blind because the participants do not know the group they are assigned to ( either standard rate or time-of-day rate structure) but can only read their meters while the technician does not know what rate structure the participants where assigned to or what meter was assigned to each group
D) The experiment Did not use matched blocks or matched pairs
Initially Sam receives $40 and every year she receives a deposit that increases the amount by $20 from
the previous year. Find the total amount deposited by her 18th birthday.
Answer:
1080
Step-by-step explanation:
A pancake recipe takes 3 cups of flour for every 2 dozen pancakes how many cups of flour does Sally need to make 96 pancakes
Answer:
16 cups of flour
Step-by-step explanation:
If you do 3 x 2, you get 6, then divide 96 by 6 and you get 16. (correct me if I'm wrong, please)
Select the converse, inverse, and contrapositive of this theorem. If two lines intersect, then the vertical angles formed are equal.
1) If the vertical angles are not equal, then lines do not intersect.
2) If the two lines do not intersect, then the vertical angles are not equal.
3) If the vertical angles are equal, then the two lines intersect.
options: (use one for each statement)
Converse
Inverse
Contrapostive
sentence:-
If two lines intersect, then the vertical angles formed are equal.
p[tex]\bold{\dashrightarrow}[/tex]q1) If the vertical angles are not equal, then lines do not intersect.
it is CONTRAPOSITIVE~q[tex]\bold{\dashrightarrow}[/tex]~p2) If the two lines do not intersect, then the vertical angles are not equal.
it is INVERSE~p[tex]\bold{\dashrightarrow}[/tex]~q3) If the vertical angles are equal, then the two lines intersect.
it is CONVERSEq[tex]\bold{\dashrightarrow}[/tex]p[tex]\boxed{\large{\bold{\blue{ANSWER~:) }}}}[/tex]
◇[tex] sentence:-[/tex]
If two lines intersect, then the vertical angles formed are equal.
1) If the vertical angles are not equal, then lines do not intersect.
◇[tex]\sf{it is CONTRAPOSITIVE}[/tex]
2) If the two lines do not intersect, then the vertical angles are not equal.
◇[tex]\sf{it is INVERSE}[/tex]
3) If the vertical angles are equal, then the two lines intersect.
◇[tex]\sf{it is CONVERSE}[/tex]
In a recent international sport competition, the top three countries—Country A, Country B, and Country C—won a total of 124 medals. Country B won 13 more medals than Country C. Country A won 34 more medals than the total amount won by the other two. How many medals did each of the top three countries win?
Answer:
Country A won 79 medals, country B won 29 medals and country C won 16 medals.
Step-by-step explanation:
This question is solved by a system of equations.
I am going to say that:
Country A won x medals.
Country B won y medals.
Country C won z medals.
Total of 124 medals:
This means that [tex]x + y + z = 124[/tex].
Country B won 13 more medals than Country C.
This means that [tex]y = z + 13[/tex]
Country A won 34 more medals than the total amount won by the other two.
This means that:
[tex]x - (y + z) = 34[/tex]
From the first equation, we have that:
[tex]y + z = 124 - x[/tex]
So
[tex]x - (y + z) = 34[/tex]
[tex]x - (124 - x) = 34[/tex]
[tex]2x - 124 = 34[/tex]
[tex]2x = 158[/tex]
[tex]x = \frac{158}{2}[/tex]
[tex]x = 79[/tex]
Finding z:
Since [tex]x = 79, y = z + 13[/tex]
[tex]x + y + z = 124[/tex]
[tex]79 + z + 13 + z = 124[/tex]
[tex]2z + 92 = 124[/tex]
[tex]2z = 32[/tex]
[tex]z = \frac{32}{2} = 16[/tex]
Finding y:
[tex]y = z + 13 = 16 + 13 = 29[/tex]
Country A won 79 medals, country B won 29 medals and country C won 16 medals.
What is the probability that the code is 74M? See above:
Best answer gets brainliest!!! PLEASE HELP
Answer:
[tex]0.0004[/tex]
Step-by-step explanation:
To start off, find out the probability that if you chose a number at random, you would pick a certain number. To do this count how many numbers you have, in this case it's 10. So if each of the numbers had the same chance to be picked, the probability of picking a certain number is [tex]\frac{1}{10}[/tex].
The same thing goes for the letters. Count how many you have, in this case it's the whole alphabet, so, 26 letters. Therefore, the probability of picking a certain letter is [tex]\frac{1}{26}[/tex].
Now for how we can use these probabilities. We want the probability that the code is a 7 AND a 4 AND a M. Because we are using AND and not OR, we should use the multiplication rule which is: [tex]P(Aand B) = P(A)[/tex] × [tex]P(B)[/tex].
Using this rule we can do the calculation: [tex]P(AandBandC) = P(A)[/tex] × [tex]P(B)[/tex] ×[tex]P(C)[/tex]
In this case, [tex]P(A) =\frac{1}{10}[/tex] , [tex]P(B) =\frac{1}{10}[/tex] and [tex]P(C) = \frac{1}{26}[/tex].
[tex]\frac{1}{10}[/tex] × [tex]\frac{1}{10}[/tex] × [tex]\frac{1}{26}[/tex] [tex]= 0.0003846...[/tex]
We can round this to [tex]0.0004[/tex]
Plz help me well mark brainliest if you are correct!!
Answer:
don't know sorry
Step-by-step explanation:
Select the correct answer.
If the factors of quadratic equation are (x + 4) and (x – 9), what are the x-intercepts?
A.
(-9,0) and (-4,0)
B.
(-9,0) and (4,0)
C.
(-4,0) and (9,0)
D.
(4,0) and (9,0)
PLATO
Answer:
The answer is going to be C.
The length of a rectangle is 3 yd longer than its width.
If the perimeter of the rectangle is 70 yd, find its length and width.
Answer:
Length= 19
Width=16
Step-by-step explanation:
(16x2)+(19x2)=70
38+32=70
Solve using long division.
(x3 + 3x2 − x + 2) ÷ (x − 1)
x2 + x + 4, R 2
x2 + 2x + 2, R 3
x2 + 3x + 1, R 4
x2 + 4x + 3, R 5
What is the common ratio in the geometric sequence: 12, 3, 3/4 …….
Answer:
1/4
Step-by-step explanation:
to find the ratio:
3/12 : (3/4)/3
1/4 : 1/4
term2/ term1 : term2/term3
!I WILL GIVE YOU 50 POINTS!!!!!!!!!!!! (if it's worng you will be reported)
Answer:
2
Step-by-step explanation:
1+1 is 2
m∠A = (6x +4)° and m∠B = (10x + 16)°. Find x if the angles are supplementary.
A.12°
B.14°
C.8°
D.10°
Please don't reply just for the points, I really need help understanding these things, if possible please leave me an explanation on how you got this. P.S supplementary angles add up to 180 degrees
Answer:
d) 10°
Step-by-step explanation:
The sum of supplementary angles always equal 180°.
Since two angles are supplementary, the two angles must add up to equal 180°. Angles A and B are known, so the equation is as follows.
[tex]A + B = 180\\(6x + 4) + (10x + 16) = 180\\\\[/tex]
Rearrange and combine like terms:
[tex]6x + 10x + 16 + 4 = 180\\16x + 20 = 180\\[/tex]
Isolate x:
[tex]16x = 180 - 20\\16x = 160\\x =10[/tex]
Maya's new home had a purchase price of $325,500. Maya and her husband got a 15-year fixed mortgage for 70% of
the purchase price. The interest rate on the loan was 2.990%. What was their monthly payment?
1569.00
Answer:
Their monthly payment will be $ 1,303.68.
Step-by-step explanation:
Since Maya's new home had a purchase price of $ 325,500, and Maya and her husband got a 15-year fixed mortgage for 70% of the purchase price, and the interest rate on the loan was 2,990%, to determine what was their monthly payment, the following calculation must be performed:
((325,500 x 0.7) x 1.0299) / (12 x 15) = X
(227,850 x 1.0299) / 180 = X
234,662,715 / 180 = X
1,303.68 = X
Therefore, their monthly payment will be $ 1,303.68.