Answer:
Step-by-step explanation:
Use the Quadratic Formula.
-x² - 4x + 16 = 0
x = [4±√(4²-4(-1)(16)]/[2(-1)] = [4±√80]/(-2) = [4±4√5]/(-2) = -2±2√5
jul used one bag of flour. She baked two loaves of bread. Then she used the remaining flour to make 48 muffins. How much flour was in the bag when Makenzie began? Use the chart to help you solve the problem.
Recipe
Amount of flour needed
Bread
2 ¼ cups per loaf
Muffins
3 ¼ cups per 24 muffins
Pizza
1 ½ cups per pie
Answer:
momdhwdjwbdjwbdjwbdjwbdjwbd a amamamamamamama
Step-by-step explanation:
how do I find the length of CA
Can somebody help me?
Find k so that 9x^2-48x+k is the square of a binomial.
Answer:
Step-by-step explanation:
The discriminant must be zero.
Discriminant = (-48)^2 - 4*9k = 2304 - 36K
36k = 2304
k = 64
Using the square of a subtraction, it is found that k = 64.
What is a square of a subtraction?It is a notable product, given by:
[tex](ax - b)^2 = a^2x^2 - 2abx + b^2[/tex]
In this problem, the expression is:
[tex]9x^2 - 48x + k[/tex]
We want it to be the square of a binomial, hence:
[tex]a^2x^2 - 2abx + b^2 = 9x^2 - 48x + k[/tex]
Then, comparing both sides, first the value of a is found:
[tex]a^2 = 9[/tex]
[tex]a = \sqrt{9}[/tex]
[tex]a = 3[/tex]
Then, with the second term, the value of b is found.
[tex]2ab = 48[/tex]
[tex]6b = 48[/tex]
[tex]b = \frac{48}{6}[/tex]
[tex]b = 8[/tex]
Finally, the value of k is found.
[tex]k = b^2 = 8^2 = 64[/tex]
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Which gives an equation for the line perpendicular to y = 2/3x + 1 that contains (0, 2) * O y = 3/2x + 2 O y = -3/2x + 2 O y = 3/2x-2 O y = -3/2x-2
Answer:
[tex]y = -\frac{3}{2}x + 2[/tex]
Step-by-step explanation:
Equation of a line:
The equation of a line has the following format:
[tex]y = mx + b[/tex]
In which m is the slope and b is the y-intercept(value of y when x = 0).
If two lines are perpendicular, the multiplication of their slopes is -1.
Contains (0, 2)
This means that [tex]b = 2[/tex]. So
[tex]y = mx + 2[/tex]
Finding the slope:
Perpendicular to y = 2/3x + 1 means that:
[tex]\frac{2m}{3} = -1[/tex]
[tex]2m = -3[/tex]
[tex]m = -\frac{3}{2}[/tex]
So
[tex]y = -\frac{3}{2}x + 2[/tex]
need help with this problem
2x+y=1
y =−x + 1
Answer:
x = 0 , y = 1
Do let me know if you get it right :)
In a study of the accuracy of fast food drive-through orders, one restaurant had orders that were not accurate among orders observed. Use a significance level to test the claim that the rate of inaccurate orders is equal to 10%. Does the accuracy rate appear to be acceptable?
Identify the null and alternative hypotheses for this test.
Answer:Null hypothesis:
Alternative hypothesis:
The p value obtained was a very high value and using the significance level given we have so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and we can said that at 5% of significance the proportion of orders that were not accurate is not significant different from 0.1 or 10% .
and the accuracy of the test yes is acceptable since the p value obtained is large enough to fail to reject the null hypothesis
Step-by-step explanation:
Data given and notation n
n=367 represent the random sample taken
X=32 represent the orders that were not accurate
estimated proportion of orders that were not accurate
is the value that we want to test
represent the significance level
Confidence=95% or 0.95
z would represent the statistic (variable of interest)
Alternative hypothesis:
When we conduct a proportion test we need to use the z statisitc, and the is given by:
(1)
The One-Sample Proportion Test is used to assess whether a population proportion is significantly different from a hypothesized value .
Calculate the statistic
Since we have all the info requires we can replace in formula (1) like this:
Statistical decision
It's important to refresh the p value method or p value approach . "This methos is about determining "likely" or "unlikely" by determining the probability assuming the null hypothesis were true of observing a more extreme test statistic in the direction of the alternative hypothesis than the one observed". Or in other words is just a method to have an statistical decision to fail to reject or reject the null hypothesis.
The significance level provided . The next step would be calculate the p value for this test.
Since is a bilateral test the p value would be:
So the p value obtained was a very high value and using the significance level given we have so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and we can said that at 5% of significance the proportion of orders that were not accurate is not significant different from 0.1 or 10% .
6. Cynthia walks 6 miles at a rate of 2 miles
per hour. How long will it take her to
arrive at her destination?
Answer:
3
Step-by-step explanation:
6 / 2 = 3 hours
In southern California, a growing number of individuals pursuing teaching credentials are choosing paid internships over traditional student teaching programs. A group of thirteen candidates for six local teaching positions consisted of seven who had enrolled in paid internships and six who enrolled in traditional student teaching programs. All thirteen candidates appear to be equally qualified, so six are randomly selected to fill the open positions. Let Y be the number of internship trained candidates who are hired.
Find the probability that two or more internship trained candidates are hired.
Answer:
0.9225 = 92.25% probability that two or more internship trained candidates are hired.
Step-by-step explanation:
Candidates are chosen without replacement, which means that we use the hypergeometric distribution to solve this question.
Hypergeometric distribution:
The probability of x sucesses is given by the following formula:
[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]
In which:
x is the number of sucesses.
N is the size of the population.
n is the size of the sample.
k is the total number of desired outcomes.
Combinations formula:
[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]
Group of 13 individuals:
This means that [tex]N = 13[/tex]
6 candidates are selected:
This means that [tex]n = 6[/tex]
6 in trained internships:
This means that [tex]k = 6[/tex]
Find the probability that two or more internship trained candidates are hired.
This is:
[tex]P(X \geq 2) = 1 - P(X < 2)[/tex]
In which
[tex]P(X < 2) = P(X = 0) + P(X = 1)[/tex]
So
[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]
[tex]P(X = 0) = h(0,13,6,6) = \frac{C_{6,0}*C_{7,6}}{C_{13,6}} = 0.0041[/tex]
[tex]P(X = 1) = h(1,13,6,6) = \frac{C_{6,1}*C_{7,5}}{C_{13,6}} = 0.0734[/tex]
[tex]P(X < 2) = P(X = 0) + P(X = 1) = 0.0041 + 0.0734 = 0.0775[/tex]
[tex]P(X \geq 2) = 1 - P(X < 2) = 1 - 0.0775 = 0.9225[/tex]
0.9225 = 92.25% probability that two or more internship trained candidates are hired.
Which is the better deal?
Box of Cheerios
48 oz for $3.99
36 oz for 2.59
12 oz for 1.99
48 oz?
Step-by-step explanation:
I don't know if you are just asking or what not but I belive it is 48 ozs but I could be wrong
Answer:
36oz for 2.59
Step-by-step explanation:
Try doubling each possible answer (largest isn't required):
36oz for 2.59 doubled is 72oz for 5.18.
12oz for 1.99 doubled is 24oz for 3.98.
The clear answer is 72oz for 5.18 instead of 48oz for 3.99.
What's the inverse for -8x
Answer:
positive 8 i think
Step-by-step explanation:
-8=8
After the end of everyday, a production plant's maintenance crews check on the machinery and grade each item's state of repair. A particular robot arm can be given ve grades: Excellent, Good, Satisfactory, Watch, Failed. If the robot arm is tagged with a Failed grade, a crew will be sent the next day to repair it. There is about a 60% chance the crew will be successful in repairing the arm back to an Excellent condition. Otherwise, they have to try again the next day to x it. The general wear and tear of operation causes at most a single level of deterioration a day and this grade decrease happens about 25% of the time. During the day, the operators can tinker with the arm and are able to increase (if possible) the repair grade level 10% of the time. The operators cannot improve a Failed arm. Management wants to model the daily grade level of a robot arm.
Required:
a. State any assumptions you need to utilize a Discrete Time Markov Chain.
b. What are the possible states of your DTMC?
c. Give the TPM.
d. Draw the TPD
Answer:
It would be C
Step-by-step explanation:
I have done this before!
find an equation for the nth term of a geometric sequence where the second and fifth terms are -8 and 512
Answer:
[tex]n_x = -4n_{x-1}\\[/tex]
where [tex]n_1[/tex] = 2
Step-by-step explanation:
512/-8 = -64
difference of n = 3
[tex]\sqrt[3]{64} = 4[/tex]
[tex]n_x = -4n_{x-1}\\[/tex]
where [tex]n_1[/tex] = 2
34. CONSTRUCTION A construction worker is working on the roof of a
building. A drop of paint falls from a rafter that is 225 feet above the
ground. After how many seconds does the paint hit the ground?
Answer:
t = 6.77 s
Step-by-step explanation:
Given that,
A drop of paint falls from a rafter that is 225 feet above the ground.
We need to find the time when the paint hit the ground. Let the time be t.
Using the second equation of kinematics i.e.
[tex]s=ut+\dfrac{1}{2}at^2[/tex]
Where
u = 0 (initial velocity is 0 as it was at rest)
a = g
So,
[tex]225=\dfrac{1}{2}\times 9.8t^2\\\\t=\sqrt{\dfrac{2\times 225}{9.8}} \\\\t=6.77\ s[/tex]
So, it will hit the ground at 6.77 s.
Function lis defined by the equation r
R=5/8t - 9
Function 2 is defined by the following table,
I
Which function has a greater y-intercept?
Answer:
Both have the same y-intercept (-9)
Step-by-step explanation:
✔️Function 1, r = ⅝t - 9, is given in the slope-intercept form, y = mx + b.
b = y-intercept = -9
y-intercept for Function 1 = -9
✔️Function 2, using the table given, the y-intercept is the value of r when t = 0.
Thus, r = -9 when t = 0.
y-intercept for Function 2 = -9
✔️Both functions has the same y-intercept. None is greater than the other.
4. What is the circumference of a circle whose area is 81π cm squared?
Step-by-step explanation:
Let us assume R be the radius of circle We know that, area of circle = πR2 81πr2 = πR2 R = √81 r R = 9r Circumference = 2 πr = 2 π (9r) = 18πr
a bag contains 1 red beads 2 yellow beads 2 green beads and 1 blue bead a bean is choose and at random what is the probability that is green
Answer:
Step-by-step explanation:
Add all the beads together to get your total amount of beads (This will be your denominator)
1+2+2+1=6 beads in total
You only want to focus on the amount of green beads. (Which is 2 and that will be you numerator)
[tex]\frac{Numerator}{Demonator}=\frac{green beads}{Total amount of beads}[/tex]
Round 1526.04 to the nearest tenths
if point Q(3,-4) is rotated +270° about the origin, what are the coordinates of Q?
Answer:
[tex]Q' =(-4,-3)[/tex]
Step-by-step explanation:
Given
[tex]Q = (3,-4)[/tex]
Rotation = +270 degrees
Required
Determine the new coordinates of Q (i.e. Q')
When a point (x,y) is rotated +270° about the origin, the new coordinates is: (y,−x)
So:
[tex]Q = (3,-4)[/tex]
Where:
[tex]x = 3[/tex] and [tex]y = -4[/tex]
Q' will be:
[tex]Q' =(-4,-3)[/tex]
25 divided by 12 PLEASE answer quick
24 divided by 12 equals 2,083
The division of 25 by 12 gives the quotient 2 and remainder is 1.
What is Division?One of the four fundamental mathematical operations, along with addition, subtraction, and multiplication, is division. Division is the process of dividing a larger group into smaller groups so that each group contains an equal number of things. It is a mathematical operation used for equal distribution and equal grouping.
Given:
We have to divide 25 by 12.
The division is as follow:
12| 25 | 2
24
______
1
Thus the Quotient is 2 and remainder is 1.
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find the length of AB
8 m
140°
Answer:
19.54
Step-by-step explanation:
Answer: 19.54
Step-by-step explanation: 140/360*(8*2*3.14)
A circular plate has a circumference of 119.32cm. Calculate the diameter.
Answer:
Diameter is equal to 38 cm.
Step-by-step explanation:
We know that the circumference equals πd (where d is the diameter).
If we round the value of π to 3.14 then we will get...
πd = 119.32
(3.14)d = 119.32
d = 119.32 / 3.14
d = 38 cm
Therefore the diameter is equal to 38 cm
The product of 4 and a number
Answer:
4*x
Step-by-step explanation:
Answer:
4x
Step-by-step explanation:
x in this case would be the number
Find the arc length along a circle of radius 10 subtended by an angle of 215 degrees
Answer:
arc = 25.29
Step-by-step explanation:
first find the circumference:
C = 2r(Pi) = 2(10)(3.14) = 62.8
since subtended, then we're looking for these opposite angle of 215 degrees:
360 - 215 = 145 degrees
62.8/360 = 0.1744 per degree
0.1744 x 145 = 25.29
6- A restaurant charges $48 on a food bill. The tax on the food bill is 9%.
If you give the waiter a 20% tip, what is the total cost of the bill?
Answer:
$61.92
Step-by-step explanation:
Given data
Charge for food= $48
Tax= 9%
Tip=20%
Let us find the amount of the tax and the tip
Tax
=9/100*48
=0.09*48
=$4.32
Tip
=20/100*48
=0.2*48
=$9.6
Hence the total amount paid is
=48+4.32+9.6
=$61.92
Question 3 (1 point) Co-60 has a half life of 5.3 years. If a pellet that has been in storage for 26.5 years contains 14.5g of Co-60, how much of this radioisotope was present when the pellet was put in storage? Answer = grams Blank 1:
Answer:
464 grams.
Step-by-step explanation:
Amount of substance:
The amount of substance after t years is given by an equation in the following format:
[tex]A(t) = A(0)(1-r)^t[/tex]
In which A(0) is the initial amount and r is the decay rate, as a decimal.
Co-60 has a half life of 5.3 years.
This means that:
[tex]A(5.3) = 0.5A(0)[/tex]
We use this to find r. So
[tex]A(t) = A(0)(1-r)^t[/tex]
[tex]0.5A(0) = A(0)(1-r)^{5.3}[/tex]
[tex](1-r)^{5.3} = 0.5[/tex]
[tex]\sqrt[5.3]{(1-r)^{5.3}} = \sqrt[5.3]{0.5}[/tex]
[tex]1 - r = 0.5^{\frac{1}{5.3}}[/tex]
[tex]1 - r = 0.8774[/tex]
So
[tex]A(t) = A(0)(0.8774)^{t}[/tex]
If a pellet that has been in storage for 26.5 years contains 14.5g of Co-60, how much of this radioisotope was present when the pellet was put in storage?
We have that [tex]A(26.5) = 14.5[/tex], and use this to find A(0). So
[tex]A(t) = A(0)(0.8774)^{t}[/tex]
[tex]14.5 = A(0)(0.8774)^{26.5}[/tex]
[tex]A(0) = \frac{14.5}{(0.8774)^{26.5}}[/tex]
[tex]A(0) = 464[tex]
464 grams.
Sofia had $608 in her bank account. She withdrew 15% of the money in her account. How much did she withdraw?
Quickly answer!!!
She pulled out 91.2 dollars
And accounts receivable manager process 200 chicks per day with an average processing time of 15 working days what is the average number of accounts receivable checks being processed in her office what if through information technology she reduces the process time from 15 days to 10 days to 5 days what are the advantages and disadvantages of adopting this technology explained?
Answer:
Given that an accounts receivable manager process 200 checks per day with an average processing time of 15 working days, to determine what is the average number of accounts receivable checks being processed in her office, the following calculation must be performed:
200 x 15 = X
3,000 = X
Thus, the average number of accounts receivable checks being processed in her office is 3,000.
In turn, if through information technology she reduces the process time from 15 days to 10 days to 5 days, the advantages and disadvantages of adopting this technology would be less work time and greater processing speed, although in contrast the times of effective work would be saturated.
Evaluate 7^2 PLEASE HELP ME
PLEASE HELP!! Eliminate the parameter in the equations y = t + 2 and x =t^1/2.How can the rectangular equation be described?
Answer:
Quadratic (I took the test)
Step-by-step explanation:
y=t+2 equals y-2=t
put t in for x=t^1/2. this is x=(y-2)^1/2, which equals x^2=y-2.
add 2 to both sides, which is y=x^2+2 . This is an example of a quadratic equation (you kinda just need to know the format of different types of equations for the last part. It isn't cubic because it has a number added to it, isn't linear because the x is squared, and tbh I have no clue what quartic is.)
This is an example of a quadratic equation.
We have given that the equation
y=t+2 equals y-2=t
What is the quadratic equation?A quadratic equation is an algebraic equation of the second degree in x. The quadratic equation in its standard form is ax^2 + bx + c = 0, where a,b are and c represents the constant.
put t in for x=t^1/2. this is x=(y-2)^1/2,
Squaring both sides we get,
x^2=y-2.
add 2 to both sides, which is y=x^2+2.
This is an example of a quadratic equation.
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