Answer:
Step-by-step explanation:
Try completing the square: t^2 - 2t + 1 - 1 + 4 becomes (t - 1)^2 + 3. If we set this equal to zero we get (t - 1)^2 = -3. Normally we'd take the square root of both sides, but because that -3 is negative, this is not possible, and the square root of positive 3 is not integer. Thus, the correct response here is "prime."
Two chemists working for a chicken fast-food company, have been producing a very popular sauce. Let’s call then Jesse and Mr. White. Gus, their boss, is tired of Mr. White’s negative attitude and is thinking about "firing" him and keeping only Jesse on the payroll. The problem, however, is that Mr. White seems to produce a higher quality sauce whenever he is in charge of production if compared to Jesse. Before making a final decision, Gus collected some data measuring the quality of different batches of sauce produced by Mr. White and Jesse. We assume the quality measurements for both of them are normally distributed with the common variance. The results, measured on a quality scale, are listed below:
Mr. White 97 1 7
Jesse 94 3 10
a. Based on this data, can we tell for sure (with 95% confidence) which one is the better chemist?
b. Gus wants to keep the mean quality score for the sauce above 90. In this case, can he can rid of Mr. White, i.e., is Jesse good enough to run the sauce production?
Answer:
Check the explanation
Step-by-step explanation:
Let [tex]\overline{x}[/tex] and [tex]\overline{y}[/tex] be sample means of white and Jesse denotes are two random variables.
Given that both samples are having normally distributed.
Assume [tex]\overline{x}[/tex] having with mean [tex]\mu_{1}[/tex] and [tex]\overline{y}[/tex] having mean [tex]\mu_{2}[/tex]
Also we have given the variance is constant
A)
We can test hypothesis as
[tex]H0: \mu_{1} = \mu_{2}H1: \mu_{1} > \mu_{2}[/tex]
For this problem
Test statistic is
[tex]T=\frac{\overline {x}-\overline {y}}{s\sqrt{\frac {1}{n1} +\frac{1}{n2}}}[/tex]
Where
[tex]s=\sqrt{\frac{(n1-1)*s1^{2}+(n2-1)*s2^{2}}{n1+n2-2}}[/tex]
We have given all information for samples
By calculations we get
s=2.41
T=2.52
Here test statistic is having t-distribution with df=(10+7-2)=15
So p-value is P(t15>2.52)=0.012
Here significance level is 0.05
Since p-value is <0.05 we are rejecting null hypothesis at 95% confidence.
We can conclude that White has significant higher mean than Jesse. This claim we can made at 95% confidence.
An ice-cream factory makes 190 quarts of ice-cream in 10 hours how many quarts could be made on 12 hours what was that rate per day
5 Points
Multiply (x2 + 3x + 4)(3x2 - 2x + 1).
O A. 4x2 + x + 5
O B. 3x4 + 11x + 19x2 + 11x + 4
O C. 3x4 - 6x2 + 4
O D. 344 + 7 x° +7x2 - 5x+ 4
Answer: 3x^4+7x^3+7x^2+11x+4
Step-by-step explanation:
(x^2+3x+4)(3x^2-2x+1)
3x^4-2x^3+x^2+9x^3-6x^2+3x+12x^2-8x+4
Collect like terms
3x^4-2x^3+9x^3+x^2-6x^2+12x^2+3x+8x+4
3x^4+7x^3+7x^2+11x+4
Answer:
To multiply (x^2 + 3x + 4) and (3x^2 - 2x + 1), we need to distribute each term of the first polynomial to every term in the second polynomial:
(x^2 + 3x + 4)(3x^2 - 2x + 1)
= x^2 * (3x^2 - 2x + 1) + 3x * (3x^2 - 2x + 1) + 4 * (3x^2 - 2x + 1)
Now, let's simplify each term:
= 3x^4 - 2x^3 + x^2 + 9x^3 - 6x^2 + 3x + 12x^2 - 8x + 4
Combining like terms:
= 3x^4 + (-2x^3 + 9x^3) + (x^2 - 6x^2 + 12x^2) + (3x - 8x) + 4
= 3x^4 + 7x^3 + 7x^2 - 5x + 4
So, the product of (x^2 + 3x + 4) and (3x^2 - 2x + 1) is 3x^4 + 7x^3 + 7x^2 - 5x + 4.
Therefore, the correct answer is option C: 3x^4 + 7x^3 + 7x^2 - 5x + 4.
Jay earns $8 an hour when he works at his uncle’s store. He earns $9 an hour when he does yard work for his neighbor. Which expression represents the total amount he will earn in a week when he works u hours at his uncle’s store and v hours doing yard work for his neighbor?
Answer:
8u+9v
Step-by-step explanation:
Answer:
8u+9v
Step-by-step explanation:
If you are given the coordinates of A, B, C, and D, how could you prove that ABCD is a rectangle?
A. Use the slope formula to show that AB∥CD, BC∥AD, AC⊥BD.
B. Use the distance formula to show that AB = CD, BC = AD, and AC = BD.
C. Use the distance formula to show that AB = CD, BC = AD, and use the midpoint formula to show that the midpoint of AC and the midpoint of BD are the same point.
D. Use the distance formula to show that AB = CD, and use the slope formula to show that AB∥CD and AB⊥BC.
E. Use the slope formula to show that AB∥CD, and use the distance formula to show that AB = CD and AC = BD.
Answer:
B. Use the distance formula to show that AB = CD, BC = AD, and AC = BD.D. Use the distance formula to show that AB = CD, and use the slope formula to show that AB∥CD and AB⊥BC.E. Use the slope formula to show that AB∥CD, and use the distance formula to show that AB = CD and AC = BD.Step-by-step explanation:
Your question does not say, "check all that apply," but I see three possible answers.
A -- can be ruled out because the diagonals of a rectangle are not necessarily perpendicular. This will show the figure is a rhombus.
B -- When both pairs of opposite sides are the same length, the figure is a parallelogram. A parallelogram with equal-length diagonals must be a rectangle.
C -- When opposite sides are the same length, the figure is a parallelogram. The diagonals of any parallelogram will have the same midpoint.
D -- When opposite sides are the same length and parallel, the figure is a parallelogram. A parallelogram with a right angle must be a rectangle.
E -- When opposite sides are the same length and parallel, the figure is a parallelogram. A parallelogram with equal-length diagonals must be a rectangle.
_____
Additional comment
My favorite method is to show AC = BD and their midpoints are the same. The midpoints of the diagonals being the same makes it a parallelogram, and the same-length diagonals makes the parallelogram a rectangle.
A movie theater has a seating capacity of 387. The theater charges $5.00 for children, $7.00 for students, and $12.00 of
adults. There are half as many adults as there are children. If the total ticket sales was $ 2808, How many children,
students, and adults attended?
Answer:
The attendance was 198 children, 90 students and 99 adults.
Step-by-step explanation:
We define:
c: children attendance
s: students attendance
a: adult attendance
The equation that describes the total ticket sales is:
[tex]5c+7s+12a=2808[/tex]
We also know that the children attendance doubles the adult attendance:
[tex]c=2a[/tex]
The third equation is the seating capacity, which we assume is full:
[tex]c+s+a=387[/tex]
We start by replacing variables in two of the equations:
[tex]c=2a\\\\s=387-c-a=387-2a-a=387-3a[/tex]
Then, we solve the remaining equation for a:
[tex]5c+7s+12a=2808\\\\5(2a)+7(387-3a)+12a=2808\\\\10a+(2709-21a)+12a=2808\\\\10a+12a-21a=2808-2709\\\\a=99[/tex]
Then, we solve for the other two equations:
[tex]c=2a=2*99=198\\\\s=387-3a=387-3*99=387-297=90[/tex]
The attendance was 198 children, 90 students and 99 adults.
How would you describe the translation from f(x)=x2 to f(x)=x2+5 ?
Answer:
5 units up
Step-by-step explanation:
Adding 5 to the y-value of an (x, y) coordinate moves it up 5 units.
f(x) = x^2 +5 is translated 5 units upward from f(x) = x^2.
For the past 50 days, daily sales of laundry detergent in a large grocery store have been recorded (to the nearest 10). Units sold Number of Times. 30 8 40 12 50 15 60 10 70 5 a). Determine the relative frequency for each number of units sold. Please show your work on EXCEL. b). Suppose that the following random numbers were obtained using Excel .12 .96 .54 .55 .66 .77 .88 .99 .33. 304894 Use these random numbers to simulate 10days of sales. Please show your work on EXCEL.
Answer:
The answer to this question can be described as follows:
Step-by-step explanation:
Please find the attachment
what kind of novel is nutshell?
Answer:
i dont know what is it
den
estamate 1/4 x 19= plz i neeed awnser
Answer:
1/4 x 19=4.75 rounded to 4.8 or 5
Step-by-step explanation:
please mark brainliest if this helped
Answer:
4.75
Step-by-step explanation:
simple math you would find a number that both 4 and 19 have in common make that tha dominator and mutiple the number that equaled the dominator by the numerator to make them like fractions. mutiply across and make a simple fraction
Viktor borrowed money from his father to buy a bike. He will repay him by making 4 equal payments of over $40. Which inequality represents the amount of money, m, Viktor borrowed from his father? m less-than 44 m greater-than 44 m less-than 160 m greater-than 160
Answer:
D
Step-by-step explanation:
Edu
Ming throws a stone off a bridge into a river below.
The stone's height (in meters above the water), xxx seconds after Ming threw it, is modeled by:
h(x)=-5(x-1)^2+45h(x)=−5(x−1)
2
+45h, left parenthesis, x, right parenthesis, equals, minus, 5, left parenthesis, x, minus, 1, right parenthesis, squared, plus, 45
How many seconds after being thrown will the stone reach its maximum height?
Answer:
1 seconds after being thrown, the stone reaches its max height
Step-by-step explanation:
Answer:1 Seconds Is wrong the correct answer is 2
Step-by-step explanation:
Khan said so
PLEASE LIKE AND RATE IF YOU GOT YOUR QUESTION RIGHT!!!
what is the best college to go to?
Answer:
The the best college to go to is the one where you feel comfortable.
Step-by-step explanation:
It is so important to understand the sence of what is actually "the best" college to go to.
You can look at that from a viriety of perspectives, and it is debatable to just go for the college which holds the highest rank on some site.
There are a lot of factors to consider, and what is generally considered the best college does not necassarilly the right one for you.
Ask your loved ones for advice and if you can take a look at yourvtop thee collages.
The the best college to go to is the one where you feel comfortable.
simplify using order of operations
17-5⋅(3-4)+(-8)⋅(-3)
Answer:
46
Step-by-step explanation:
17−5(3−4)+(−8)(−3)
=17−(5)(−1)+(−8)(−3)
=17−(−5)+(−8)(−3)
=22+(−8)(−3)
=22+24
=46
The complement of 20°17' is
Answer:69°43'
Step-by-step explanation:
Complementary angles add up to 90
Let them complement be y
y+20°17`=90°
Collect like terms
y=90-20°17' 20°17'=1217/60
y=90-1217/60
y=(60x90 -1 x 1217)/60
y=(5400-1217)/60
y=4183/60
y=69°43'
Find the area of the triangle SHOW WORK
Answer:
area of triangle= 1/2× base × height
1×88×53
2
= 2332mm²
2(3x – 4) + X – 1 = –16
Answer:-1
Step-by-step explanation:
2(3x-4)+x-1=-16
Open brackets
6x-8+x-1=-16
Collect like terms
6x+x=-16+1+8
7x=-7
Divide both sides by 7
7x ➗ 7=-7 ➗ 7
x=-1
Answer:
x = -1
Step-by-step explanation:
What is the slope of the line
Answer:
4/5
Step-by-step explanation:
There are so many points on the graph whose coordinates are impossible to estimate. Look for two "nice" points--points with integer coordinates. The line passes through (-2, 0) and (3, 4).
Slope = rise / run. It's the ratio of vertical change to horizontal change as you move from one point on the line to another.
Moving from (-2, 0) to (3, 4), the vertical change is 4 - 0 = 4.
The horizontal change is 3 - (-2) = 5.
The slope is 4/5
What does the graph of Ax)=-(x-3)* +11 look like?
A. opens downward with a vertex of (3, 11)
B. opens downward with a vertex of (-3, 11)
C. opens upward with a vertex of (3, 11)
D. opens upward with a vertex of (-3, 11)
Answer:
A. opens downward; vertex (3, 11)
Step-by-step explanation:
The leading coefficient is negative (-1), so we know the parabola opens downward.
The vertex in the form ...
A(x) = a(x -h)² +k
is (h, k). Comparing to the given equation, we find (h, k) = (3, 11).
The vertex is (3, 11).
Ray cuts out A. Figure that has 4 equal sides and no right angles what is the best name for the figure
Answer:
rhombus
Step-by-step explanation:
Answer:
rhombus
Step-by-step explanation:
A rhombus has four congruent sides, and does not necessarily have to have right angles. (A square is considered a rhombus and has four right angles, so that is the only exception). So, your answer would be rhombus!
Hope this helped! ;)
Joanne sells silk-screened T-shirts at community festivals and craft fairs. Her marginal cost to produce one T-shirt is $ 2.50 . Her total cost to produce 60 T-shirts is $ 240 comma and she sells them for $8 each. a. Find the linear cost function for Joanne's T-shirt production. b. How many T-shirts must she produce and sell in order to break even? c. How many T-shirts must she produce and sell to make a profit of $600?
Answer:
a) c = 90 +2.50t
b) 17
c) 126
Step-by-step explanation:
a) We're told that the cost for 60 T-shirts is $240, but we know that the marginal cost for those 60 shirts is ...
60($2.50) = $150
Joanne seems to have fixed costs of $240 -150 = $90. So, her linear cost function seems to be ...
c = 90 +2.50t . . . . . . . where c is the cost to produce t shirts
__
b) Joanne's revenue function is ...
r = 8t
so her profit function is ...
p = r -c = 8t -(90 +2.50t)
p = 5.50t -90
This will be zero for ...
0 = 5.50t -90
0 = t -16.364
Joanne must produce and sell 17 T-shirts to cover her production cost.
__
c) Profit will be 600 when ...
600 = 5.50t -90
690 = 5.50t
690/5.50 = t = 125.455
Joanne must produce and sell 126 T-shirts to make a profit of $600.
_____
Comment on results
Note that fractional T-shirt sales are involved in making the numbers come out exactly. We have elected to round up, so that slightly more profit is made than the exact amounts of $0 or $600. Rounding to the nearest integer would give values one shirt less than what we have reported.
How many strings can be formed by ordering the letters MISSISSIPPI which
contain no two I’s are consecutive ?
Answer:
Total number of strings = 7350
Step-by-step explanation:
Given:
MISSISSIPPI
Required:
Number of strings to contain no two consecutive I's
To do this, we start by calculating the number of strings that can be formed without any I;
We're left with MSSSSPP
7 characters in total
4 S and 2 P
The number of strings is calculated as follows
Number of strings = [tex]\frac{7!}{4!2!}[/tex]
Number of strings = [tex]\frac{7*6*5*4!}{4!*2*1}[/tex]
Number of strings = [tex]\frac{7*6*5}{2*1}[/tex]
Number of strings = 7 * 3 * 5
Number of strings = 105
Then we count the number of possible spaces of I; This is as follows
-M-S-S-S-S-P-P-
This is represented by the - sign.
In total, there are 8 spaces, the 4 I's can occupy
There number of selection is as follows
[tex]\left[\begin{array}{c}8&\\4&\\\end{array}\right] = \frac{8!}{4!*4!}[/tex]
[tex]\left[\begin{array}{c}8&\\4&\\\end{array}\right] = \frac{8 * 7 * 6 * 5 * 4!}{4!*4*3*2*1}[/tex]
[tex]\left[\begin{array}{c}8&\\4&\\\end{array}\right] = \frac{8 * 7 * 6 * 5}{4*3*2*1}[/tex]
[tex]\left[\begin{array}{c}8&\\4&\\\end{array}\right] = 70[/tex]
Total number of strings = 105 * 70
Total number of strings = 7350
Math question please help
Answer:
y = -7x +8
Step-by-step explanation:
The slope-intercept form of the equation of a line is ...
y = mx +b
where m represents the slope, and b represents the y-intercept. The y-intercept is the value of y when x=0. Here, you have m=-7 and b=8. Your equation is ...
y = -7x +8
what is the distance between (7,0) and (7,-9)
Answer:
9 units
Step-by-step explanation:
You can use the distance formula, or you could recognize that since both points have the same x-coordinate, they lie on a vertical line, so the distance between them would be the absolute value of 0 and -9, which is 9.
Hope this helped! :) (Srry I was a little late)
Answer:
the answer is nine units
A bathtub in the shape of a rectangular prism 5 feet long. 3 1/2 feet wide, and 4 1/4 feet high. How much water can the bath tub hold?
Answer:
74 3/8 cubic feet
Step-by-step explanation:
The volume of the tub is the product of the dimensions:
V = LWH
= (5 ft)(3.5 ft)(4.25 ft)
= 74.375 ft³
The tub can hold 74 3/8 cubic feet of water.
A camera crew on the ground is recording the act of a performer walking a tightrope stretched between two buildings. A member of the camera crew who is 1.8 m tall is almost directly below one end of the tightrope. When the performer steps out onto the other end of the tightrope, the angle of elevation is 75 . If the buildings are 30 m apart, how many meters above the ground is the performer?
Answer:
32332
Step-by-step explanation:
Find the mode of the following numbers.
21, 7, 19, 21, 60, 21, 19
Answer:
The mode is 21.
Step-by-step explanation:
Mode is a number than appears most frequently in a set of numbers.
Answer:
[tex]21[/tex]
Step-by-step explanation:
The Most frequently number that appears in a set of numbers is called as mode.
21 , 7 , 19 , 21 , 60 , 21 , 19
Now here we can clearly see that 21 is the most frequent number that appears in the text.
hope this helps
brainliest appreciated
good luck! have a nice day!
Scott feeds his dog 3/8 pounds of dog food for each meal Scott has just bought 24 pounds of dog food for how many meals will the food last
Answer:
64
Step-by-step explanation:
24 / (3/8) = 64 meals. Hope this helps!
What is the solution of | x + 5 | > 7
Step-by-step explanation:
inequality form would be x<-12 or >2
I hope this helps
Answer:
2
Step-by-step explanation:
(x+5)>7
x+5>7
x>7-5
x>2
According to the Rational Root Theorem, Negative seven-eighths is a potential rational root of which function?
Answer:
f(x)=24x^7+3x^6+4x^3-x-28
Step-by-step explanation:
