Answer:
p=−12x2+8x+−492
is what I got
The value of p must be 7 for the expression (x - p)2 + 5 equivalent to the expression x2 – 14x + 54.
What are equivalent expressions?Those expressions who might look different but their simplified forms are same expressions are called equivalent expressions.
To derive equivalent expressions of some expression, we can either make it look more complex or simple. Usually, we simplify it.
It is given that the expression (x - p)2 + 5 equivalent to the expression x2 – 14x + 54
That is (x - p)^2 + 5 = x^2 – 14x + 54
Solving for p;
x^2 + p^2 + 5 - 2px = x^2 – 14x + 54
Combine the like terms;
p^2 + 5 - 2px =– 14x + 54
p^2 - 2px + 14x - 49 = 0
If we put p = 7 then
49 - 14x + 14x - 49 = 0
Therefore, the value of p must be 7 for the expression (x - p)2 + 5 equivalent to the expression x2 – 14x + 54.
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It'll be a life saver if you guys can actually help me with this problem.. Please.
There are 500 cars in Frank's junkyard; 350 blue and 150 red. If Joe randomly selects 25 cars from his yard, what's the probability he'll get from 14 to 20 blue cars, inclusive? Could this be considered an almost binomial event?
A. P(x=14) + P(x=15) + P(x=16) + P(x=17) + P(x=18) + P(x=19) This is an almost binomial event.
B. binomcdf(25,.7,20) - binomcdf(25,.7,14) This is almost binomial event.
C. (25/14)(.7)^14(.3)^11 + (25/15)(.7)^15(.3)^10 + ... + (25/19) (.7)^19(.3)^6 + (25/20)(.7)^20(.3)^5 This is an almost binomial event
D. P(14 < x <20) Not an almost binomial event.
E. binompdf(25,.7,20) - binompdf(25,.7,14) Not an almost binomial event
Answer:
C. (25/14)(.7)^14(.3)^11 + (25/15)(.7)^15(.3)^10 + ... + (25/19) (.7)^19(.3)^6 + (25/20)(.7)^20(.3)^5 This is an almost binomial event
Step-by-step explanation:
I think
The chair of the operations management department at Quality University wants to construct a p-chart for determining whether the four faculty teaching the basic P/OM course are in control with regard to the number of students who fail the course. Accordingly, he sampled 100 final grades from last year for each instructor, with the following results Instructor Number of Failures Prof. A 13 Prof. B 0 Prof. C 11 Prof. D 16 What are the .95 (5 percent risk of Type I error) upper and lower control limits for the p-chart
Answer:
Prof B and Prof D
Step-by-step explanation:
Step-by-step explanation:
From the question we are told that
Sample size 100
Instructor Number of Failures
Prof. A 13
Prof. B 0
Prof. C 11
Prof. D 16
Confidence level= 0.95
From Z table
Z=1.96
Generally proportion for failure is mathematically given as
[tex]Proportion\ of\ Failure\ P=\frac{Number\ of\ Failure\ N}{Sample\ size\ S}[/tex]
[tex]P=\frac{N}{S}[/tex]
For Prof A
[tex]P_A=\frac{N_A}{S}[/tex]
[tex]P_A=\frac{13}{100}[/tex]
[tex]P_A=0.13[/tex]
For Prof B
[tex]P_B=\frac{N_B}{S}[/tex]
[tex]P_B=\frac{0}{100}[/tex]
[tex]P_B=0[/tex]
For Prof C
[tex]P_C=\frac{N_C}{S}[/tex]
[tex]P_C=\frac{11}{100}[/tex]
[tex]P_C=0.11[/tex]
For Prof D
[tex]P_D=\frac{N_D}{S}[/tex]
[tex]P_D=\frac{16}{100}[/tex]
[tex]P_D=0.16[/tex]
Generally the average proportional failure is mathematically given as
[tex]P_a_v_g=\frac{0.13+0+0.11+0.16}{4}[/tex]
[tex]P_a_v_g=0.10[/tex]
Therefore having this we calculate for the control limits
Generally the upper control limit UCl is mathematically given as
Upper control limits:
[tex]UCL =P_a_v_g +Z\sqrt{\frac{P_a_v_g(1-P_a_v_g) }{S} }[/tex]
[tex]UCL =0.1 +1.96\sqrt{\frac{0.1(1-0.1) }{100}}[/tex]
[tex]UCL =0.1 +1.96*0.03[/tex]
[tex]UCL =0.1 +0.0588[/tex]
[tex]UCL =0.1588[/tex]
Generally the upper control limit UCl is mathematically given as
Lower limit control limits:
[tex]UCL =P_a_v_g _Z\sqrt{\frac{P_a_v_g(1-P_a_v_g) }{S} }[/tex]
[tex]UCL =0.1 -1.96\sqrt{\frac{0.1(1-0.1) }{100}}[/tex]
[tex]UCL =0.1 -1.96*0.03[/tex]
[tex]UCL =0.1 -0.0588[/tex]
[tex]UCL =0.0412[/tex]
Therefore the Range is 0.0412 to 0.1588
Given the range 0.0412 to 0.1588 Prof B and Prof D are outside the Range making them the correct options
If you are good at math please dm me on ig 14lies, or twitt binderelluh1
Answer:
Okay
Step-by-step explanation:
What is the correct sequence of steps for calculating 9^6 on the scientific calculator?
First press 9, then 6, then the exponent key, and finally press the equal sign (-).
First press 6, then9, then the exponent key, and finally press the equal sign ().
First press 9, then the exponent key, then 6, and finally press the equal sign (-).
Answer:
C
Step-by-step explanation:
First press 9, then the exponent key, then 6, and finally press the equal sign.
Can someone tell me how to do a transversal angle measurement with steps and angles
Answer:
Sorry I am not sure but when I figure it out..... I prolly won't
Step-by-step explanation:
Answer:
When two lines are cut by a transversal, the pairs of angles on one side of the transversal and inside the two lines are called the consecutive interior angles . If two parallel lines are cut by a transversal, then the pairs of consecutive interior angles formed are supplementary
Step-by-step explanation:
Please help me with this question
how do you solve -5 ( -6 - 3x) + 8 = 83
Answer:
x=3
Step-by-step explanation:
-5(-6-3x)+8=83
Distribute the -5 to both terms in the parentheses by multiplication, multiply the -5 by the -6 and the -3x.
30+15x+8=83
Add like terms, add the 30 and the 8.
38+15x=83
Subtract 38 from both sides to isolate the x on the left side.
15x=45
Divide by 15 on both sides to solve for x.
x=3
(a) Write 1.04 x 10as an ordinary number.
(b) Write 0.06 in standard form.
4.62 x 10% tins of beans were sold last year.
These tins of beans cost a total of £300.3 million.
(c)Work out the average cost per tin of beans.
Answer: here are your answers, Add 3.45 X 1010 and 2.75 X 108. The first number is the same as 345 X 108. Note how as the decimal point moves, the exponent changes. Adding them, we get 347.75 X 108 or – less accurately – 3.48 X 1010.
Add 4.00 X 1012 and 7.55 X 1012. The answer is 11.55 X 1012 or 1.16 X 10 13.
Step-by-step explanation: here are your answers, Add 3.45 X 1010 and 2.75 X 108. The first number is the same as 345 X 108. Note how as the decimal point moves, the exponent changes. Adding them, we get 347.75 X 108 or – less accurately – 3.48 X 1010.
Add 4.00 X 1012 and 7.55 X 1012. The answer is 11.55 X 1012 or 1.16 X 10 13.
Mr. Chu is slicing for cantaloupes his for his class there are 24 students in the class if Mr. Chu cuts the cantaloupes to make a equal portion for each student how many of the whole cantaloupe what each student get
Answer:
3 cantaloupes
Step-by-step explanation:
Since there are 24 students if you divide 24 by 3 it equals 8 so eat cantaloupe should be cut into 8 pieces. So, Mr.chu should buy 3 cantaloupes and cut each of the cantaloups in 8 equivalent slices for the students.
Evaluate 3x-(5x-1)-3(2x-10)
Answer:
-8x + 31
Step-by-step explanation:
Hope it helps, have a great day
Very Short Answer Questions
3. The total surface area of a cube is 1,944 sq cm. Find its side.
35 points and will be mark as brainlist
[tex]\huge\bf\underline{Answer}[/tex]
Given :- Total surface area of a cube = 1944cm²To Find :- Side of the cubeFormula :-[tex]\boxed{\huge \sf{TSA = 6a²}}[/tex]
Where, TSA = Total surface area of a cubea = Side of a cubeSolution :-Let the Side of a cube be 'x'
By substituting values according to the formula,[tex]\sf{:⇒6(x) ^{2} } = 1944cm^{2} [/tex]
[tex]\sf{:⇒ {x}^{2} = \dfrac{1944}{6} }[/tex]
[tex]\sf{:⇒ {x}^{2} = 324}[/tex]
[tex]\sf{:⇒x = \sqrt{324} }[/tex]
[tex]\sf{:⇒x = 18cm}[/tex]
Hence, The Side of a cube is 18cmGraph the equation.
y =2x-2
Answer:
Okay so
y = mx + b
m is the slope
b is the y intercept
Step-by-step explanation:
Step-by-step explanation:
I hope this helps I used desmos
I GIVEEE BRAINLI8LSTT C
Answer:
3,-2.
Step-by-step explanation:
hope this helps. :-)
Gretchen rode her snowmobile 1 1/4 miles to a snowmobile trail. She rode on the trail for 5 5/6 miles and then rode back home. Which addition sentence shows how many miles Gretchen rode in all?
Answer:
5 5/6+1 1/4+1 1/4, or 8 1/3 miles
Answer: it’s 5 5/6+1 1/4+1 1/4, or 8 1/3 miles
Step-by-step explanation:
Hey, can someone help me with this question?
Step-by-step explanation:
A = P(1 + r)^t
£5263.73 = £4000(1 + 0.01x)^7
(1 + 0.01x)^7 = 1.3159325
1 + 0.01x = 1.04
0.01x = 0.04
x = 4.
The value of x is 4.
what is 4855/200 simplified
Answer:
The answer is 2427.5
Step-by-step explanation:
The fraction consists of two numbers and a fraction bar: 4,855/200
The number above the bar is called numerator: 4,855
The number below the bar is called denominator: 200
The fraction bar means that the two numbers are dividing themselves.
To get fraction's value divide the numerator by the denominator:
Value = 4,855 ÷ 200
To calculate the greatest common factor, GCF:
1. Build the prime factorizations of the numerator and denominator.
2. Multiply all the common prime factors, by the lowest exponents.
Factor both the numerator and denominator, break them down to prime factors:
Prime Factorization of a number: finding the prime numbers that multiply together to make that number.
4,855 = 5 × 971;
4,855 is a composite number;
In exponential notation:
200 = 2 × 2 × 2 × 5 × 5 = 23 × 52;
200 is a composite number;
f(x)= −2x^2 + 8x − 10
{Find } f(-4)
Answer:
simply you have to substitute (-4) for all the (x) terms-2x²+8x -10-2(-4)²+8×(-4)-10-2(16) - 32 -10-32 -32 - 10-74
What is the inverse of the function f(x) =x +3?
Answer:
f(x) = x + 3y = x + 3x = y - 3Inverse is h(x) = x - 3
Answer:
f^-1(x) = x - 3
m∠2 = by the .
m∠1 = by the .
m∠3 = by the .
At Mary’s fruit stand, a basket of cherries costs $4 and a basket of peaches costs $9. In one morning, Katya sells 96 baskets for $644. How many baskets of peaches were sold?
Answer:
The number of strawberry baskets sold was 44
Step-by-step explanation:
Let
x ----> the number of strawberry baskets sold
y ---> the number of raspberries baskets sold
we know that
In one morning, Katya sells 96 baskets for $644
so
----> equation A
---> equation B
Solve the system by graphing
Remember that the solution is the intersection point both graphs
using a graphing tool
The solution is the point (44.52)
see the attached figure
therefore
The number of strawberry baskets sold was 44 and the number of raspberries baskets sold was 52
Hello can someone please help me. I'll give 50 points.
How many solutions will this system of equations have?
y = -3.5x - 3.5
y = -3.5x + 3.5
I have 6 fish. 3 of them drowned. How many fish do I have left?
Answer:
6
Step-by-step explanation:
because fish don't drown
What happened to the U.S. dollar when President Nixon closed the gold
window?
Tom bought a pen for $30
and sold it to gain
20% on his cost price. How much money
did he gain?
Answer:
he gained 6 dollars
Step-by-step explanation:
30 x 0.2
Tom bought a pen for $30 and sold it to gain 20% on his cost price that he gained 6 dollars.
How to calculate unit price of something?Unit means 'single entity', the fundamental constructing block. Usually, it is 1 in mathematics and science.
Thus, unit price of something is price of 1 thing.
Lets suppose we're taking about price of mangoes, then unit price will denote the price of 1 mango.
It is given that Tom bought a pen for $30 and sold it to gain 20% on his cost price.
Therefore,
30 x 20%
30 x 0.2 = 6 dollars
Thus, he gained 6 dollars.
Hence, Tom bought a pen for $30 and sold it to gain 20% on his cost price that he gained 6 dollars.
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can you please help me with this?
Answer:
B?
Step-by-step explanation:
I beilieve its B? Ive never heard about dances for inuguration.
Please someone help me out. This is due soon.
Answer:
1. 8 people
2. 2 people
3. the difference is 1
4. 4 people
5. skiing, snowboarding, ice skating, sledding
Step-by-step explanation:
1. it shows on the graph
2. you subtract the number of people ice skating by the number of people sledding
3. you add ice skating and sledding then subtract that total from the amount of people skiing
4. you have to subtract skiing from ice skating and then add one to ensure it is the most liked
you simply go from greatest to least
Mr. Hunterhad 25 students in his 4th period math class. The next day, he has
only 20 students. What is the percent decrease in the number of students in
Mr. Hunter's class?
Answer:20 percent
Step-by-step explanation:correct me if I’m wrong
The total surface area of this cuboid is 76 cm.
Find the value of x.
x cm
4 cm
5 cm
Answer:
76×5+4
380+4=384
algebra 2!! please help im begging. i don’t understand this at all. thank you!
Answer:
Step-by-step explanation:
so the square root of 6 is the multipyed number of 8 plus 2 divided by9 is to times 8 plus 6
Jada’s lawn mowing service charges $28 per hour plus a $20 fee to cover gas for the mower. Mai’s lawn service charges $16 per hour, but a $44 fee. For how many hours will Jada’s service be cheaper than Mai’s?
Answer:
5
Step-by-step explanation:
JADA MAI
1. 48 60
2. 68 76
3. 88 92
4. 108 108
so its 5
Answer:12 hour
Step-by-step explanation:they ask For how many hours will Jada’s service be cheaper than Mai’s its 12 if you subtract 60-48 which is how much jade and mai is paying you have 12 and thats with the fee without the fee it would still be 12 becuase thats how much hours they put into it