Answer:
8
Step-by-step explanation:
Answer:
8 tables
Step-by-step explanation:
23 isn't a multiple of three but 24 is
24/3 = 8
They need eight tables. One table will have only two people sitting at it instead of three
Which equation is quadratic in form?
2(x + 5)2 + 8x + 5 + 6 = 0
x6 + 6x4 + 8 = 0
7x6 + 36x3 + 5 = 0
4x9 + 20x3 + 25 = 0
Answer:
I think it's the first one... but I'm not pretty sure.
Answer:
C
Step-by-step explanation:
edge 2020
An electrical firm manufactures light bulbs that have a life, before burn-out, that is normally distributed with mean of 800 hours and standard deviation of 40 hours.
A. Find the probability that a bulb burns between 778 and 834 hours.
B. A random sample of 40 bulbs from that firm is selected. What is the probability that the average light bulb life is at least 820 hours?
Answer:
(A) The probability that a bulb burns between 778 and 834 hours is 0.51118.
(B) The probability that the average light bulb life is at least 820 hours in a random sample of 40 bulbs is 0.00079
Step-by-step explanation:
Let X denote the life time of light bulbs.
It is provided that X follows a normal distribution with mean of 800 hours and standard deviation of 40 hours.
(A)
Compute the probability that a bulb burns between 778 and 834 hours as follows:
[tex]P(778<X<834)=P(\frac{778-800}{40}<\frac{X-\mu}{\sigma}<\frac{834-800}{40})\\\\=P(-0.55<Z<0.85)\\\\=P(Z<0.85)-P(Z<-0.55)\\\\=0.80234-0.29116\\\\=0.51118[/tex]
Thus, the probability that a bulb burns between 778 and 834 hours is 0.51118.
(B)
Compute the probability that the average light bulb life is at least 820 hours in a random sample of 40 bulbs as follows:
[tex]P(\bar X\geq 820)=P(\frac{\bar X-\mu}{\sigma/\sqrt{n}}\geq \frac{820-800}{40/\sqrt{40}})\\\\=P(Z>3.16)\\\\=1-P(Z<3.16)\\\\=1-0.99921\\\\=0.00079[/tex]
Thus, the probability that the average light bulb life is at least 820 hours in a random sample of 40 bulbs is 0.00079
Using the normal distribution and the central limit theorem, it is found that there is a:
a) 0.5111 = 51.11% probability that a bulb burns between 778 and 834 hours.b) 0.0008 = 0.08% probability that the average light bulb life is at least 820 hours.Normal Probability DistributionIn a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
It measures how many standard deviations the measure is from the mean. After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X. By the Central Limit Theorem, the sampling distribution of sample means of size n has standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].In this problem:
Mean of 800 hours, hence [tex]\mu = 800[/tex].Standard deviation of 40 hours, hence [tex]\sigma = 40[/tex].Item a:
The probability is the p-value of Z when X = 834 subtracted by the p-value of Z when X = 778, hence:
X = 834:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{834 - 800}{40}[/tex]
[tex]Z = 0.85[/tex]
[tex]Z = 0.85[/tex] has a p-value of 0.8023.
X = 778:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{778 - 800}{40}[/tex]
[tex]Z = -0.55[/tex]
[tex]Z = -0.55[/tex] has a p-value of 0.2912.
0.8023 - 0.2912 = 0.5111
0.5111 = 51.11% probability that a bulb burns between 778 and 834 hours.
Item b:
Sample of 40, hence [tex]n = 40, s = \frac{40}{\sqrt{40}}[/tex].
The probability is 1 subtracted by the p-value of Z when X = 820, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{820 - 800}{\frac{40}{\sqrt{40}}}[/tex]
[tex]Z = 3.16[/tex]
[tex]Z = 3.16[/tex] has a p-value of 0.9992.
1 - 0.9992 = 0.0008
0.0008 = 0.08% probability that the average light bulb life is at least 820 hours.
To learn more about the normal distribution and the central limit theorem, you can take a look at https://brainly.com/question/24663213
Two angles of a triangle measure 55 and 20. What is the measure of the third angle of the triangle
Answer:
105
Step-by-step explanation:
180-(55+20)=105
105 is the missing angle because every triangle equals 180 degrees so you just subtract the angles you have already found from 180.
the person above me is correct i checked it so it is indeed 105!
greatest common factor of 20 and 10.
Answer:
1,2,5,10
Step-by-step explanation:
Greatest common factor is 10
What is the factored form of x3 + 216?
A.
(x − 6)(x2 + 6x + 36)
B.
(x + 6)(x2 − 6x + 36)
C.
(x + 6)(x2 − 12x + 36)
D.
(x + 6)(x2 + 12x + 36)
Answer:
now using the formula (a-b) (a2+ab+b2)=a3-b3
=>x3-63
x3-216#answer
The factor of the cubic polynomial x³ + 216 will be (x + 6) and (x² – 6x + 36). Then the correct option is B.
What is a factorization?It is a method for dividing a polynomial into pieces that will be multiplied together. At this moment, the polynomial's value will be zero.
The cubic polynomial is given below.
⇒ x³ + 216
Then the cubic polynomial is written as,
⇒ x³ + 6 × 6 × 6
⇒ x³ + 6³
We know that the formula of a³ + b³ is given as,
a³ + b³ = (a + b)(a² – ab + b²)
Compare the expression, we have a = x and b = 6. Then the expression will be
x³ + 6³ = (x + 6)(x² – 6x + 6²)
x³ + 6³ = (x + 6)(x² – 6x + 36)
The factor of the cubic polynomial x³ + 216 will be (x + 6) and (x² – 6x + 36).
Then the correct option is B.
More about the factorization link is given below.
https://brainly.com/question/6810544
#SPJ5
How many 7/8-teaspoon servings are in 1/4 of a teaspoon of sugar? Yor anwer needs to be in farction in simplest form.
Which decimal and percent represents 7/8
Answer:
decimal - 0.875
percent - 87.50%
Step-by-step explanation:
SOLVE 4x9( 12/(5-2)^3)+9
Answer:
16x^9/9+9 should be the answer
Step-by-step explanation:
Please help me I need help?!!!
Answer:
B
Step-by-step explanation:
For all numbers x, f(x) = 3x + 3. What is the value of
f(3)?
If x + y = 5, then x =
1. 5y
2. 5+y
3. 5 - y
The product of two numbers is 16/3 if one of the number is 48/5 what is the other one?
Answer:
The other number is 5/9.
Step-by-step explanation:
16/3 = 48/5 * x
x = 5/9
what is the answer to d- 48.60 = 80.00
Answer:
31.4
Step-by-step explanation:
You subtract 80.00 from 48.60, and you get your answer 31.4
Answer:
128.6
Step-by-step explanation:
You have to do the inverse operation.
So you add 48.60 to each side of the equation. This cancels out the -48.60 which isolates the variable. And on the other side of the equation it leaves you with 128.6. Therefore d = 128.6
plz help out i am so confused
Answer:
Me too not trying to get the points but how are u suppose to solve this anyway
Step-by-step explanation:
Tristan and two of his friends purchased tickets to a school play. Tristan paid for all the tickets with a $50.00 bill and received $23.00 in change. If Tristan used a coupon for 25% off, what was the original price for one ticket?
-$6.75
-$9.00
-$12.00
-$27.00
Answer: 27.00
Step-by-step explanation:
$50 - $23 = $27
Answer:
$27.00
Step-by-step explanation:
"D"
True False x-sqrt6 is a factor of x^4-36
is 4.23x10^-5 greater than 1 or less than 1? explain how you know
Answer: Less than 1
Step-by-step explanation: 4.23 x 10^-5 simply translated to 0.0000423
which is less than 1.
Answer:
less than 1
Step-by-step explanation:
4.23 * 10^5 is less than 1
a bowl of grapes has a total mass of 265 grams. The bowl has a mass 121 grams
Answer:
144 grams
Step-by-step explanation:
Im assuming you want to mass of grapes, do total mass subtracted by the mass of the bowl
Rewrite the expression in the form b^n
Answer:
b 15/4
Step-by-step explanation:
You work in a hospital, and instructions for an instrument state that it should be cleaned in the
sterilizer for two hours. The sterilizer requires cleaning time be entered in minutes. How many
minutes do you set for the sterilizer?
A. 90
B. 120
C. 180
D. 240
E. 500
Answer:
B
Step-by-step explanation:
120/60=2
2 hours
The time required in minutes to set the sterilizer is 120. The correct option is B.
What is an expression?The mathematical expression is the combination of numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also be used to denote the logical syntax's operation order and other properties.
Given that you work in a hospital, instructions for an instrument state that it should be cleaned in the sterilizer for two hours.
The time in minutes will be calculated as:-
Time = 2 hours
Time = 2 x 60 minutes
Time = 120 minutes
Therefore, the time required in minutes to set the sterilizer is 120. The correct option is B.
To know more about an expression follow
https://brainly.com/question/11096532
#SPJ2
-4(X + 3) s-2 - 2x
What is the solution?
1 point
The temperature in Anchorage, Alaska was 2 degrees Celsius below zero.
The next day, the temperature dropped 10 more degrees Celsius. Thanks to
a warm front, the temperature rose by 5 degrees Celsius. On the fourth
day, the temperature decreased by 13 degrees Celsius. What was the final
temperature in Anchorage, Alaska on the fourth day? *
20
Answer:
6 degrees Celsius
Step-by-step explanation:
It started at 2 degrees Celsius below zero. The next day, it dropped to 12 degrees Celsius below zero. The next day, it rose to 7 degrees below zero. The next day, it increased to 6 degrees ABOVE zero. -7+13=6
Witch variable represents the y intercept
Answer:
B
Step-by-step explanation:
Y=mx=b
m= slope
b= y- intercept
x&y are variables
graph 3x-2y=6 how do you graph this in algebra
Answer:
I don't have algebra but I suggest looking it up and it might show you at the very top.
Step-by-step explanation:
Hope this helps you:)
Check image giving brainliest to first correct answer
Answer:
7
Step-by-step explanation:
So:a=3
b=(-2)
c=2
Substitute the numbers into each letters
so a is represented by 3,c by 2 and b -2
therefore giving us: 2
3+(-2)=9+(-2)=7
I really need help with this one
Answer:
a=70 b=.16 c=350
Step-by-step explanation:
50 messages is 8 dollars
Write an inequality that represent the following sentence and SOLVE. Be sure to show work on binder paper for credit.
the sum of y and 8.1 is less than 24.
Solution after solving:
Answer:
y+8.1<24
Step-by-step explanation:
Sum of= addition
y+8.1
less than is <
<24
10x+7y=-3 and 5x-y=3
Step-by-step explanation:
{
x
=
1
y
=
4
Explanation:
Take a look at your starting system of equations
{
5
x
+
y
=
9
10
x
−
7
y
=
−
18
Notice that if you multiply the first equation by
(
−
2
)
, and add the right-hand sides and the left-hand sides of the equations separately, you can eliminate the
x
-term.
This will leave you with one equation with one unknown,
y
.
{
5
x
+
y
=
9
∣
⋅
(
−
2
)
10
x
−
7
y
=
−
18
{
−
10
x
−
2
y
=
−
18
10
x
−
7
y
=
−
18
---------------------------------------------------
−
10
x
−
2
y
+
10
x
−
7
y
=
−
18
+
(
−
18
)
−
9
y
=
−
36
⇒
y
=
(
−
36
)
(
−
9
)
=
4
Now use this value of
y
in one of the two original equations to find the value of
x
5
x
+
(
4
)
=
9
5
x
=
5
⇒
x
=
5
5
=
1
Which multiplication expression is equal to 2/5÷2/3?
Answer:
2/5 × 3/2
I hope this helps!
What type of equation is -1/2y=1/2x+5
Answer:
Linear Equation: A linear equation is an algebraic equation. · 2. Polynomial Equation: · 3. Quadratic Equation: · 4. Trigonometric equation: · 5. Radical Equation:
Step-by-step explanation: