Answer:
0.03593
Step-by-step explanation:
We solve using z score formula
z = (x-μ)/σ, where
x is the raw score = 17,340
μ is the population mean = 15,000
σ is the population standard deviation = 1300
z score:
z = 17340 - 15000/1300
z =1.8
Probability value from Z-Table:
P(x<17340) = 0.96407
P(x >17340) = 1 - P(x<17340)
= 1 - 0.96407
= 0.03593
The probability that the life span of the monitor will be more than 17,340 hours is 0.03593
Give the factors for the numerator [n] and denominator [d] after reducing.
Answer:
The factors for the numerator [n] and denominator [d] after reducing will be:
[tex]\frac{x^2-25}{x^2-4x}\div \:\frac{2x^2+2x-40}{x^3-x}=\frac{\left(x-5\right)\left(x+1\right)\left(x-1\right)}{2\left(x-4\right)^2}[/tex]
Step-by-step explanation:
Given the expression
[tex]\frac{x^2-25}{x^2-4x}\div \frac{2x^2+2x-40}{x^3-x}[/tex]
[tex]\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{a}{b}\div \frac{c}{d}=\frac{a}{b}\times \frac{d}{c}[/tex]
[tex]=\frac{x^2-25}{x^2-4x}\times \frac{x^3-x}{2x^2+2x-40}[/tex]
[tex]\mathrm{Multiply\:fractions}:\quad \frac{a}{b}\times \frac{c}{d}=\frac{a\:\times \:c}{b\:\times \:d}[/tex]
[tex]=\frac{\left(x^2-25\right)\left(x^3-x\right)}{\left(x^2-4x\right)\left(2x^2+2x-40\right)}[/tex]
[tex]=\frac{\left(x^2-25\right)x\left(x^2-1\right)}{\left(x^2-4x\right)\left(2x^2+2x-40\right)}[/tex]
[tex]\mathrm{Cancel\:the\:common\:factor:}\:x[/tex]
[tex]=\frac{\left(x^2-25\right)\left(x^2-1\right)}{2\left(x-4\right)\left(x^2+x-20\right)}[/tex]
∵ As factor [tex]\left(x^2-25\right)\left(x^2-1\right)=\left(x+5\right)\left(x-5\right)\left(x+1\right)\left(x-1\right)[/tex]
so the expression becomes
[tex]=\frac{\left(x+5\right)\left(x-5\right)\left(x+1\right)\left(x-1\right)}{2\left(x-4\right)\left(x^2+x-20\right)}[/tex]
∵ As factor [tex]2\left(x-4\right)\left(x^2+x-20\right)=2\left(x-4\right)^2\left(x+5\right)[/tex]
so the expression becomes
[tex]=\frac{\left(x+5\right)\left(x-5\right)\left(x+1\right)\left(x-1\right)}{2\left(x-4\right)^2\left(x+5\right)}[/tex]
[tex]\mathrm{Cancel\:the\:common\:factor:}\:x+5[/tex]
[tex]=\frac{\left(x-5\right)\left(x+1\right)\left(x-1\right)}{2\left(x-4\right)^2}[/tex]
Therefore, the factors for the numerator [n] and denominator [d] after reducing will be:
[tex]\frac{x^2-25}{x^2-4x}\div \:\frac{2x^2+2x-40}{x^3-x}=\frac{\left(x-5\right)\left(x+1\right)\left(x-1\right)}{2\left(x-4\right)^2}[/tex]
Which of the following graphs shows the set of points that represents the number of hours that Leah
can work in order to earn at least $120 and not work more than 20 hours per month?
Answer:
I think it’s A,C, and E
Step-by-step explanation:
I’m not for sure but if you plot those points in the shaded region for graph C, those should be correct .
Armon has a prepaid cell phone. This month he will like to purchase a $9 message package. The rate plan for the talk time is $0.10 per minute. Write an inequality for the maximum amount of talk time that Armon can purchase for his bill to stay under $45.
Pls show step-by-step! :)
Selena has a piece of ribbon that is 130 inches long. If she wants to make bracelets that are 9 inches long, how many inches of ribbon will be left over?
Answer:14 4/9
Step-by-step explanation:
The ratio of boys to girls in a classroom was 9:8. Half of the girls left the classroom, and then there were 15 more boys than girls. Part i.) How many children were in the classroom in the beginning?
Answer:
i pretty sure it's 17
Step-by-step explanation:
Answer:
17
Step-by-step explanation:
help me plz i have to get an A
An average pen manufactured by the F&M Corporation lasts 400 days with a standard deviation of 40 days.
Assuming that pen life is normally distributed, what is the probability that such a pen will last at least 440
days?
Answer:
The probability that the pen will last at least 440 days is 0.1587
Step-by-step explanation:
Given that
Mean = μ = 400 days
SD = σ = 40 days
Now we have to find the probability of a data point X = 440
For that first of all we have to find the z-score of the value
z-score is found using the formula
[tex]z-score = \frac{x-Mean}{SD}[/tex]
Putting the values of x, mean and SD we will get,
[tex]z = \frac{440-400}{40} = \frac{40}{40} = 1[/tex]
At least 440 means that either 440 or greater than this, hence, we have to find area to the right of z=1
For that
[tex]P(z<1) = 0.8413\\P(z>1) = 1-P(z<1) = 1-0.8413 = 0.1587[/tex]
Hence,
The probability that the pen will last at least 440 days is 0.1587
What is the slope of the line?answer
Answer:
Whenever the equation of a line is written in the form y = mx + b, it is called the slope-intercept form of the equation. The m is the slope of the line. And b is the b in the point that is the y-intercept (0, b). For example, for the equation y = 3x – 7, the slope is 3, and the y-intercept is (0, −7).
Step-by-step explanation:
Answer:
The slope of the line is -2.
Step-by-step explanation:
Because the line is going down from left to right it is considered a negative slope. The rise is -2 and the run is 3, so the slope of the line in integer form is -2.
But, if it was in fraction form the slope would be -2/3.
Hope this helps! If you have any additional questions please don't hesitate to ask me or your teacher to be sure you master the subject. :) Stay safe and please mark brainliest!
Consider the statement: "The president of the United States is a United States citizen."
Is the statement a grammatically correct sentence?
What is the subject of the sentence? What is the verb in the sentence?
Is the sentence true?
A bicycle is traveling at 20 miles per hour. How many feet will it cover in 30 seconds? Round your answer to the nearest tenth of a foot.
Answer:
[tex]Distance = 880ft[/tex]
Step-by-step explanation:
Given
[tex]Speed = 20\frac{miles}{hour}[/tex]
[tex]Time = 30\ seconds[/tex]
Required
Determine the distance
To answer this question, we make use of speed-distance relationship
[tex]Speed = \frac{Distance}{Time}[/tex]
Make Distance the subject
[tex]Distance = Speed * Time[/tex]
[tex]Distance = 20 miles/hour * 30 seconds[/tex]
Convert seconds to hour
[tex]Distance = 20 miles/hour * \frac{30}{3600} hour[/tex]
[tex]Distance = 20 miles * \frac{30}{3600}[/tex]
[tex]Distance = \frac{20 miles * 30}{3600}[/tex]
[tex]Distance = \frac{600\ miles}{3600}[/tex]
[tex]Distance = \frac{1}{6} miles[/tex]
Convert to foot
[tex]Distance = \frac{1}{6} * 5280\ ft[/tex]
[tex]Distance = \frac{1* 5280\ ft}{6}[/tex]
[tex]Distance = \frac{5280\ ft}{6}[/tex]
[tex]Distance = 880ft[/tex]
let f(x) = x^4 -4x^2 +3x find f(-3) a.-54 b.36 c.-126 d.108
Answer:
b. 36
Step-by-step explanation:
Evaluate x^4 - 4 x^2 + 3 x where x = -3:
x^4 - 4 x^2 + 3 x = (-3)^4 - 4×(-3)^2 - 3×3
Hint: | Evaluate (-3)^2.
(-3)^2 = 9:
(-3)^4 - 49 - 3×3
Hint: | Determine the sign of (-3)^4.
(-3)^4 = (-1)^4×3^4 = 1×3^4:
3^4 - 4×9 - 3×3
Hint: | Compute 3^4 by repeated squaring.
3^4 = (3^2)^2:
(3^2)^2 - 4×9 - 3×3
Hint: | Evaluate 3^2.
3^2 = 9:
9^2 - 4×9 - 3×3
Hint: | Evaluate 9^2.
9^2 = 81:
81 - 4×9 - 3×3
Hint: | Multiply -4 and 9 together.
-4×9 = -36:
81 + -36 - 3×3
Hint: | Multiply 3 and -3 together.
3 (-3) = -9:
81 - 36 + -9
Hint: | Group the negative terms in 81 - 36 - 9 together and factor out the minus sign.
81 - 36 - 9 = 81 - (36 + 9):
81 - (36 + 9)
Hint: | Evaluate 36 + 9 using long addition.
| 1 |
| 3 | 6
+ | | 9
| 4 | 5:
81 - 45
Hint: | Subtract 45 from 81.
| 7 | 11
| 8 | 1
- | 4 | 5
| 3 | 6:
Answer: 36
Round 61.7625 to the neares
Answer:
Nearest whole: 62
Nearest tenth: 61.8
Nearest hundredths: 61.76
Nearest thousandths: 61.763
what is the slope (5,7) and (2,-2)
Answer:
slope = 3
Step-by-step explanation:
to find the slope you do (y2-y1)/(x2-x1)=m
so we can plug the points into this formula
(5,7) (2,-2)
x1 y1 x2 y2
-2-7/2-5=m
-9/-3=m
Simplifies to
3=m
asia is a chef in a restaurant to prepare for dinner service she chopped 7 1/2 onions into 1/6 of an hour what is Asia's rate of chopping in onions per hour
which of the following is the simplified form of the expression 12z-4y+16z-8y
-28z+12y
28z-12y
-28z-12y
28z+12y
Answer:
28z-12y
Step-by-step explanation:
1. In the figure shown, e1 || 12. If m<3 = 83,
a. Determine the measures of the other seven angles in the figure
118
27
316
45
x Clear
Undo
- Redo
m <1 =
m <2 =
1
m <3 = 830
m <4=
m <5 =
m <6 =
m <7=
m <=
b. Choose one of the angle measures you found and justify your answer.
Answer/Step-by-step explanation:
Given:
m<3 = 83°
The following are the angle measures of the seven angles including the justification of each answer.
m<1 = m<3 (corresponding angles are congruent)
m<1 = 83° (substitution)
m<2 + m<3 = 180° (same side consecutive interior angles are supplementary)
m<2 = 180° - m<3 (Subtraction property of equality)
m<2 = 180 - 83
m<2 = 97°
m<4 + m<3 = 180° (linear pair)
m<4 = 180 - m<3 (Subtraction property of equality)
m<4 = 180 - 83 (substitution)
m<4 = 97°
m<5 = m<3 (vertical angles are congruent)
m<5 = 83°
m<6 = 180° - m<3 (linear pair theorem)
m<6 = 180 - 83°
m<6 = 97°
m<7 = m<3 (alternate interior angles are congruent)
m<7 = 83°
m<8 = m<6 (corresponding angles are congruent)
m<8 = 97°
help please
3/11 × 4/9 =
Answer:
4/33
Step-by-step explanation:
Multiply 3x4 across which equals 12
Multiply 11x9 across which equals 99
Simplify to equal 4/33
Hope this helps!! :)
Answer:
Exact Form:
433
Decimal Form:
0.¯¯12¯¯
Step-by-step explanation:
Where is the punctuation error in this sentence?
More people came to the meeting1 than had been expected. They were standing2 in the aisles3 in the hall,4 and on the front steps.
Answer:
That is that It is Most not More
Answer:
It is number 3
Step-by-step explanation:
Counting up on a number line starting at 0 corresponds with what numbers
HELP Identify any vertical, horizontal, or oblique asymptotes in the graph of y = f(x). State the domain of f
Step-by-step explanation:
hope this helps, happy learning
Two vertical asymptotes exist. The leftmost one's equation is, x = -6, and the rightmost one's equation is, x = 6.
What is oblique asymptotes?An asymptote along a line is called an oblique or slant asymptote. Oblique asymptotes are formed when the degree of the denominator of a rational function is one less than the degree of the numerator. For example, the function has a vertical asymptote at the line and an oblique asymptote about the line. (-, -6) U (-6, 6) U Domain: (6, )On the f(x) graph, there are two vertical asymptotes. The equation for the left one is x = -6, and the equation for the right one is x = 6.Because there are vertical asymptotes at x=-6 and x=6, the domain of f is (-infinity -6) U (-6,6) U.Domain: ,(-∞, -6) U (-6, 6) U (6, ∞)
There are two vertical asymptotes on the f(x) graph. The leftmost one's equation is:
x = -6
and the equation of the rightmost one is:
x = 6
Part B
The vertical asymptotes at x=-6 and x=6 define the domain of f as follows:
(-∞, -6) U (-6, 6) U (6, ∞)
Therefore, Two vertical asymptotes exist. The leftmost one's equation is x = -6, whereas the rightmost one's equation is x = 6.
The complete question is:
Identify any vertical, horizontal, or oblique asymptotes in the graph of y=f(x). State the domain of f. Identify any vertical asymptotes. Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. OA. There is only one vertical asymptote. Its equation is (Type an equation.)OB. There are two vertical asymptotes. The equation of the leftmost one is and the equation of the rightmost one is (Type an equation.)OC. There are no vertical asymptotes.
To learn more about oblique asymptotes, refer to:
brainly.com/question/11866729
#SPJ2
4(3x + 2) = 4(2x + 3) + 4x
Answer:
x = -4
Step-by-step explanation:
4(3x + 2) = 4(2x + 3) + 4x (distribute the 4's on both sides)
12x + 8 = 8x + 12 + 4x (collect like terms)
12x + 8 = 13x + 12 (subtract 12x on both sides)
8 = x + 12 (subtract 12 on both sides)
-4 = x
Hope this helps ya!
What is the determinant of? –18 –8 10 18
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
[tex] \binom{ | - 18 \: \: \: \: \: - 8| }{ |10 \: \: \: \: \: \: \: \: \: \: \: \: \: \: 18| } = \\ [/tex]
[tex] - 18 \times18 - ( - 8 \times 10) = [/tex]
[tex] - 324 + 80 = - 244[/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
Answer:
D
Step-by-step explanation:
Edge
Choose all the expressions that are equal to 0.7 × 0.41.
A. 7100×41100
B. 710×41100
C. 7100×4110
D. 710×4110
E. 70100×41100
Answer:
None of the expressions is equal to 0.7 x 0.41.
Step-by-step explanation:
Given that 0.7 x 0.41 is equal to 0.287, to determine which options are equal to said operation, the calculations set out for each of them must be performed:
A. 7,100 × 41100 = 291,810,000
B. 710 × 41100 = 29,181,000
C. 7100 × 4110 = 29,181,000
D. 710 × 4110 = 2,918,100
E. 70100 × 41100 = 2,918,100,000
Therefore, looking at all the results produced by the predisposed calculations, it is evident that none of the expressions is equal to 0.7 x 0.41.
There is no expression equivalent to the given expression and this can be determined by using the arithmetic operations.
Given :
Expression -- 0.7 × 0.41
The arithmetic operations can be used in order to evaluate the given expression.
[tex]0.7\times 0.41 = 0.287[/tex]
Now, check all the options in order to determine the correct option.
A) 7100×41100
Evaluate the above expression by using the arithmetic operations.
[tex]7100\times 41100 = 291810000[/tex]
Therefore, this option is incorrect.
B) 710×41100
Evaluate the above expression by using the arithmetic operations.
[tex]710\times 41100 = 29181000[/tex]
Therefore, this option is incorrect.
C) 7100×4110
Evaluate the above expression by using the arithmetic operations.
[tex]7100\times 4110 = 29181000[/tex]
Therefore, this option is incorrect.
D) 710×4110
Evaluate the above expression by using the arithmetic operations.
[tex]710\times 4110 = 2918100[/tex]
Therefore, this option is incorrect.
E) 70100×41100
Evaluate the above expression by using the arithmetic operations.
[tex]70100\times 41100 =2881110000[/tex]
Therefore, this option is incorrect.
For more information, refer to the link given below:
https://brainly.com/question/25834626
Un ingeniero realiza las siguientes observaciones sobre las ventas de impresoras en una tienda: Hay impresoras Epson, Hp y Cannon. El número de impresoras Epson y HP es cinco veces el número de las Cannon. Además, el número de impresoras Epson es el triple que el de la Cannon y El total de impresoras Cannon y Hp asciende a 123
Answer:
En la tienda hay 123 impresoras Epson, 82 impresoras HP y 41 impresoras Cannon.
Step-by-step explanation:
Para determinar el número de impresoras de cada marca, se deben plantear las siguientes ecuaciones:
E + HP = 5 x C
E = 3 x C
C + HP = 123
Así, teniendo en cuenta estas ecuaciones y los valores de cada marca dentro del stock de la tienda, se puede plantear la siguiente equivalencia:
Si E = 3C y E + HP = 5C, entonces HP = 2C, ya que 5C - 3C = 2C.
Entonces, las equivalencias son las siguientes:
E = 3C
HP = 2C
Si C + HP = 123, podríamos decir que 3C = 123. Por ello, dado que 123 / 3 es igual a 41, el número de impresoras Cannon asciende a 41 unidades.
A su vez, el número de impresoras HP es de 82 unidades (41 x 2), mientras que el número de impresoras Epson asciende a 123 unidades (41 x 3).
May u please help me ill give out the brainly
Answer: The answer that I think is A
sry if wrong
I know the sum of positive and negative numbers will be positive when
I know the sum of positive and negative numbers will be negative when
ANSWER BOTH QUICK
Answer:
When the positive number is greater than the negative number
Step-by-step explanation:
-6 + 7 =1 because -6 + 6 + 0 then you add 1.
Answer:
1. there are to negatives or two positives
2. there is one positive and one negative
What is the product of = 4/9 and 1/11?
4/99
5/99
9/44
1/4
4/9 and 1/11
product means multiplying
4 times 1
4*1=4
9 times 11
9*11=99
answer: 4/99
A class has 48 minutes available to hear reports from 15 students. if the time is to be divided equally, how long may each student have?
Answer:
No, every student will have 3.2 minutes
Answer:
Each student has approximately 3 minutes and 12 seconds.
Step-by-step explanation:
You divide the total amount of minutes by the total amount of students. 48/15=3.2
After you get your answer, you convert to minutes. There are 3 minutes and the .2 converts to 12 seconds
help please
what is 3/4×5/7 =
Answer:
15/28 simplified to 5/8 (credit to other answer.)
Step-by-step explanation:
Multiply the top numbers 3*5 which equals 15 and then multiply the bottom numbers 4 and 7 for 28. Put 15 over 28.
PLEASE YALL I need HELP ASAP PLEASE PLEASE PLEASE I WILL MARK YOU AS BRANLIEST IF CORRECT
White an equation in slope intercept form whose slope is 10 and y intercept is -3.
Answer:
y = 10x - 3
Step-by-step explanation:
Answer:
f(x)=10x+-3
f(x)=mx +b
m= slope
b= y intercept
Step-by-step explanation: