Answer:
0.00998 Inches
Step-by-step explanation:
Thickness of the light bulb filament = 0.01 Inch
Allowable error = 2%.
2% of 0.01 = 0.02 X 0.01 =0.0002 Inch
Therefore, the allowable thickness of the bulb filament
[tex]=0.01 \pm 0.0002 $ Inches[/tex]
We can then calculate the least allowable thickness of the filament as:
[tex]=0.01 - 0.0002 \\=0.00998$ Inches[/tex]
The least allowable thickness of the filament is 0.00998 Inches.
What is the value of the angle marked with 2?
Answer:
Step-by-step explanation:
Consecutive angles cut by a common transversal are supplementary. That means that
x + 87 =180 Subtract 87 from both sides.
x+87-87=180-87
x = 93
Tournament scores for 92 golfers are distributed normally. Two
statistics from this tournament are given below.
mean score 74
standard deviation 2.5
What is the approximate percentage of golfers that scored
between 69 and 79?
A. 27%
B. 68%
C. 74%
D. 95%
Answer: D. 95%
Step-by-step explanation: If the difference of the scores given is 5 above and below the mean, that represents 2 standard deviations.
In normal distribution, 2 standard deviations above and below the mean represent 95% of all the inputs.
Helppp!!!! please!!!
Answer:
F. cylinder
Step-by-step explanation:
A cylinder has a circle for its base, which has no vertices and is not a polygon. This, therefore, disqualifies a cylinder as a polyhedron.
(78) The flag of country Perralia has to contain three differently-colored stripes of the same width, all of which must be positioned either vertically or horizontally. If the flag of Perralia must consist of the national colors, which include green, red, yellow, black, and blue, how many different flags can be created
Answer:
120 flags
Step-by-step explanation:
Given that:
The flag of country Perralia has to contain three differently-colored stripes of the same width, r = 3 stripes
all of which must be positioned either vertically or horizontally = 2
If the flag of Perralia must consist of the national colors, which include green, red, yellow, black, and blue. So the number of color n = 5 colors
The objective is to determine how many different flags can be created.
Let us recall that;the arrangement of objects taking into account the different orders or arrangement is called permutation.
The same is applicable in this scenario as well.
The number of flags that can be created can be determined by considering the permutation of :
[tex]P_r = \dfrac{n!}{(n-r)!}[/tex]
[tex]P_r = \dfrac{5!}{(5-3)!}[/tex]
[tex]P_r = \dfrac{5!}{(2)!}[/tex]
[tex]P_r = \dfrac{5 \times 4 \times 3 \times 2!}{(2)!}[/tex]
[tex]P_r = {5 \times 4 \times 3[/tex]
[tex]P_r = 60[/tex]
However, Since all of the must be positioned either vertically or horizontally = 2
Then the total number pf flags that be created = 2 × 60 = 120 flags
a man's annual salary of 580000 is increased by 15% find the new salary
Answer:
58000 x 15= 87000
Step-by-step explanation:
you just have to multiply it by 15
Answer:
667000
Step-by-step explanation:
Have to find what 15% of 580000 is first:
580000 x 0.15 (15% as decimal --> divide by 100) = 87000
Next add what 15% of 580000 is to 580000:
580000 + 87000 = 667000
The power, P (watts) , of a car engine is proportional to the square of its speed, s ( m / s ) . When s = 15 , P = 2100 . Work out the speed (to 1 DP) when the power is 2200 watts
Answer:
The speed of the car engine is 15.4m/s
Step-by-step explanation:
Given
Power = 2100; when Speed = 15
Required
Find Speed when Power = 2200
The question says power is proportional to square of speed;
Mathematically;
[tex]Power\ \alpha \ Speed^2[/tex]
Represent Power with P and Speed with S
[tex]P\ \alpha \ S^2[/tex]
Convert proportion to an equation
[tex]P\ = \ kS^2[/tex]
Where k is proportionality constant
Make k the subject of formula
[tex]\frac{P}{S^2} = k[/tex]
When P = 2100 and S = 15
[tex]\frac{2100}{15^2} = k[/tex]
When P = 2200 and S is unknown
[tex]\frac{2200}{S^2} = k[/tex]
Recall that [tex]\frac{2100}{15^2} = k[/tex]
So;
[tex]\frac{2200}{S^2} = k[/tex] becomes
[tex]\frac{2200}{S^2} = \frac{2100}{15^2}[/tex]
Cross Multiply
[tex]S^2 * 2100 = 2200 * 15^2[/tex]
[tex]S^2 * 2100 = 2200 * 225[/tex]
[tex]S^2 * 2100 = 495000[/tex]
Divide both sides by 2100
[tex]S^2 = \frac{495000}{2100}[/tex]
[tex]S^2 =235.714285714[/tex]
Take Square Roots of both sides
[tex]S = \sqrt{235.714285714}[/tex]
[tex]S =15.3529894716[/tex]
[tex]S = 15.4[/tex] (Approximated)
The revenue for a company producing widgets is given by y=-25x^2-50x+200, where x is the price in dollars for each widget. The cost for the production is given by y=25x-10. Determine the price that will allow the production of the widgets to break even.
Answer:
When they create 3.44 products and make a revenue of $76.027, they will break even.
Step-by-step explanation:
To do this, simply graph the 2 equation in a graphing calculator and analyze the graph for where the 2 graphs intersect. Discard the negative intersection because we cannot have a negative production. You should see that your intersection point is (3.441, 76.027).
a) digits and letters can be repeated b) digits and letters cannot be repeated Question: 2 letters followed by 6 digits a. a) 67,600.000 b) 78,936,000 b. a) 676,000,000 b) 98,280,000 c. a) 98,280,000 b) 676,000,000 d. a) 78,936,000 b) 67,600,000
Answer:
b.
(a) 676,000,000
(b) 98,280,000.
Step-by-step explanation:
If no repetition the number of possible outcomes is:
26P2 * 10P6
= 650 * 151200
= 98,280,000.
If repetitions are allowed it is:
(650 + 26) * 10^6
= 676 * 1,000,000
= 676,000,000.
how to do this question plz
question 2
Answer:
a) x+3=19
Step-by-step explanation:
a)
x is the age of Ronald , Collin is three years older than Ronald , so if we add up x(Ronald's age) and 3(the difference between both of their ages), we would get Collin's age(19) . That is the explanation for this equation.
b)
x+3=19
x=19-3
x=16
thus , x is 16 , in other words , Ronald's age is 16.
The test statistic of z equals = 2.94 2.94 is obtained when testing the claim that p not equals ≠ 0.877 0.877. A. Identify the hypothesis test as being two-tailed, left-tailed, or right-tailed. B. Find the P-value. C. Using a significance level of alpha α equals = 0.01 0.01, should we reject Upper H 0 H0 or should we fail to reject Upper H 0 H0?
Answer:
Step-by-step explanation:
The claim being tested is that p not equals ≠ 0.877
A) This is the alternative hypothesis and it is a two tailed test. It means that it can be in either direction.
B)Given that z = 2.94, the p value would be determined from the normal distribution table. Since the curve is symmetrical and it is a two tailed test, the p for the left tail and the right tail would be considered. We will look at the area in both tails. Since it is showing in one tail only, we would double the area
From the normal distribution table, the area above the test z score in the right tail is 1 - 0.998 = 0.002
We would double this area to include the area in the left tail of z = - 2.94 Thus
p = 0.002 × 2 = 0.004
C) Since alpha, 0.01 > than the p value, 0.004, then we would reject the null hypothesis, H0
What is the length of arc ZV?
π inches
Answer:
26
Step-by-step explanation:
Answer:
Its 26
Step-by-step explanation:
Correct on edg. 2021
Jude has a deck of playing cards. He is asked to remove one card at random, then a second card. What could Jude do between the events to ensure they are dependent?
Answer:
He could put the first card he removed into his pocket
Step-by-step explanation:
With regards to the above, he could put the first card he removed into his pocket so that the amount of card he has to draw the second time will be affected hence make it dependent.
Take for instance, there are 52 cards in total, if he picks the first card and did not replace it, then the probability of taking second card will be 50/51 since the total cards left in the deck is now 51.
Keeping the card out of the deck can be done to ensure that the events are dependent.
What is Probability ?Probability is a measure of the likeliness of an event to occur and it is measured between 0 to 1 , where 0 represents unlikeliness of the event and 1 represents certainty.
It is given in the question that he would have to keep the first card out of the deck before removing the second card.
Two events are dependent if the probability of one event changes based on the result of the other.
To be clear, an action on its own (like drawing a card) is not an event. An event is a possible outcome (or set of outcomes) we could observe.
Since we assume all 52 cards have an equal chance of being drawn on the first pick (that being 152), the only way to change this probability for the second pick is to keep the first card out of the deck.
This reduces the size of the deck to 51, meaning each remaining card has a 51 chance of being picked—except for the card he drew first, which now has a 0% chance of being drawn again.
Therefore keeping the card out of the deck can be done to ensure that the events are dependent.
To know more about Probability
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PLEASE HELP ME I BEG
Answer:
12
25
Step-by-step explanation:
The profit earned by a hot dog stand is a linear function of the number of hot dogs sold. It costs the owner $48 dollars each morning for the day’s supply of hot dogs, buns and mustard, but he earns $2 profit for each hot dog sold. Which equation represents y, the profit earned by the hot dog stand for x hot dogs sold?
Answer:
C. y=2x-48
Step-by-step explanation:
A. y=48x−2
B. y=48x+2
C. y=2x−48
D. y=2x+48
Profit per hotdog=$2
Quantity=x
Cost of hotdog, buns and mustard=$48
Find the equation profit earned by the hotdog stand for x hot dog sold
Total Profit(y)=(units profits*quantity)-cost
=$2*x-$48
y=2x-48
Answer:
C. y=2x−48
Step-by-step explanation:
did it on edge 2020
Jackie loves to cook fried foods. She recorded the total amount of oil that she used each month in the table below.
In January, she used 3/5 of the amount of oil that she used in February.
Fill in the amount of oil that Jackie used in January in the table below.
Month Liters of oil used
january ?
February 2/3
March 1 1/2
Answer:
In January
she used 3/5 of what she used in February.
In February she used 2/3 litres of oil.
So it is 3/5 of 2/3 to find what amount she used in January.
3/5 × 2/3 = 6/15
If we simplify 6/15 we find 2/5 as our answer.
So our answer is 2/5 litres.
The length of a rectangle is represented by L. If the width of the rectangle is one-half of its length, represent its width.
Answer:
L/2
Step-by-step explanation:
If the width is half of its length, that means it is 1/2*L, as L is the length. This can be simplified into L/2, which is our answer.
Answer:L/2
Step-by-step explanation: The length is represented as L. So half the lenght is 1/2L which can also be represented as L/2. So the width is represented as L/2
Find the value of x if 212x5 is a multiple of 3 and 11
Answer:
8
Step-by-step explanation:
when the valueof x is 8 then it is multiple of 3 and 11
#21285/3=7095
#21285/11=1935
I Hope this will be helpful for you.
Which number is greater: 35% or 3.5?
Answer: 3.5
Step-by-step explanation:
BRAINLIEST PLS HELP ASAP LINEAR EQUATIONS
Answer:
first one
Step-by-step explanation:
Tracey bought 10 movies
some cost 13 and the others 16
Let x be the movies that cost 13 and y ones that cost 16
we can state that
x+y = 10since Tracey both ten
13x+ 16y = 139since the total price is 139
so the system is :
[tex]\left \{ {{13x+16y=139} \atop {x+y=10}} \right.[/tex]
A line contains the points (6,8), (-2, k) and (-10, 4). What is the value of k?
Answer:
k = 6
Step-by-step explanation:
Step 1: Find slope m
m = (4 - 8)/(-10 - 6)
m = -4/-16
m = 1/4
y = 1/4x + b
Step 2: Find b
4 = 1/4(-10) + b
4 = -5/2 + b
b = 13/2
Step 3: Rewrite equation
y = 1/4x + 13/2
Step 4: Find k
y = 1/4(-2) + 13/2
y = -1/2 + 13/2
y = 12/2
y = 6
Answer: 6
Step-by-step explanation:
As you move left to right on the x-coordinate, your y value is increasing. If you notice, the x values are increasing by eight at a time. So, if you take the value in between 4 and 8, you get your answer, which is 6.
PLEASE HELP ASAP
Right triangle ABC is located at A (−1, −2), B (−1, 1), and C (3, 1) on a coordinate plane. What is the equation of a circle A with radius segment AC?
A (x + 1)2 + (y + 2)2 = 9
B (x + 1)2 + (y + 2)2 = 25
C (x − 3)2 + (y − 1)2 = 16
D (x − 3)2 + (y − 1)2 = 25
Answer:
b
Step-by-step explanation:
Answer:
B) (x + 1)2 + (y + 2)2 = 25
Step-by-step explanation:
Solve by factorising x^2 + 8x + 15 = 0
Answer:
See below
Step-by-step explanation:
x² + 8x + 15 = 0
x² + 5x + 3x + 15 = 0
x x (x + 5) + 3x + 15 = 0
xx (x + 5) +3 (x + 5) = 0
(x + 5) × (x + 3) = 0 → x + 5 = 0 x + 3 = 0
x = -5
x + 3 = 0
x = -5
x = -3
x1 = -5
x2 = -3
Hope this helped ! :)
Find the volume of the composite figure below
Answer:
1386 in³
Step-by-step explanation:
Volume of the composite cone = volume of a hemisphere + volume of a cone
=>Find the volume of cone
Volume of cone = ⅓πr²h
π = 3.142
r = 7 in
h = =√(15² - 7²) [using Pythagorean theorem to solve for height given the slant height and radius]
h = √(225 - 49)
h = √176 ≈ 13 in
Volume of cone = ⅓*3.142*7²*13
= ⅓*2001.454 ≈ 667 in³
=>Find volume of hemisphere.
Volume of hemisphere = ½*volume of sphere = ½*4/3πr³ = ⅔πr³
π = 3.142
r = 7 in
Volume = ⅔*3.142*7³ ≈ 719 in³
Volume of composite figure = 667+719 = 1386 in³
Select the correct answer. What is the simplified form of this expression? (9x2 + 10x + 4) − (9x2 + 5x − 1) A. x2 + 5x + 5 B. x2 + 15x + 3 C. 15x + 3 D. 5x + 5
Answer:
D. 5x + 5
Step-by-step explanation:
(9x2 + 10x + 4) − (9x2 + 5x − 1) =
Remove the first set of parentheses since they are unnecessary.
To remove the second set of parentheses, change every sign inside.
= 9x2 + 10x + 4 − 9x2 - 5x + 1
Combine like terms.
= 5x + 5
Answer: D. 5x + 5
The simplified form of this expression (9x2 + 10x + 4) − (9x2 + 5x − 1) is 5x+5 option (D) is correct.
What is a quadratic equation ?Any equation of the form [tex]\rm ax^2 +bx+c= 0[/tex] Where x is variable and a, b, and c are any real numbers where a ≠ 0 is called a quadratic equation.
[tex]=\rm (9x^2 + 10x + 4) - (9x^2 + 5x- 1)[/tex]
[tex]=\rm 9x^2 + 10x + 4 - 9x^2 - 5x+ 1)\\\\= 5x+5[/tex]
Thus, the simplified form of this expression (9x2 + 10x + 4) − (9x2 + 5x − 1) is 5x+5 option (D) is correct.
Learn more about quadratic equations here:
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1/4 of a pipe is white , 1/2part of the remaining is blue. If the remaining part is black and the length of this blackpart is 5 1/4cm, find the length of the pipe.
Answer: 14 cm
Step-by-step explanation:
let's total length = h
white = 1/4h
remain = h - 1/4h
=3/4h
blue = 1/2 of remaining
=1/2 of 3/4h
=3/8h
remain part black = 3/4h - 3/8h
=3/8h
according to the question
3/8h = 5 1/4 cm
h = 14 cm
length of the pipe is 14 cm
Answer:
14The length of the pipe is 14.
Solution,
Let the total length be X cm
[tex]x - \frac{x}{4} -{ (x - \frac{x}{4} ) \times \frac{1}{2}} = 5 \frac{1}{4} \\ x - \frac{x}{4} - \frac{x}{2} + \frac{x}{8} = \frac{21}{4} \\ \frac{8x - 2x - 4x + x}{8} = \frac{21}{4} \\ \frac{3x}{8} = \frac{21}{4} \\ 3x \times 4 = 21 \times 8 \\ 12x = 168 \\ x = \frac{168}{12} \\ x = 14[/tex]
Hope this helps..
Good luck on your assignment..
help me solve this please
Answer:
70°solution,
[tex]x = \frac{far \: arc - near \: arc}{2} \\ \: \: \: \: = \frac{250 - (360 - 250)}{2} \\ \: \: \: \: \: = \frac{250 - 110}{2} \\ \: \: = \frac{140}{2} \\ \: \: = 70[/tex]
Hope this helps..
Good luck on your assignment
HELPPPP Enter the ratio as a fraction in lowest terms (2 ft to 24 in.)Enter the ratio as a fraction in lowest terms
(27 minutes to 24 minutes) Enter the ratio as a fraction in lowest terms (no decimals).
(8.0 calories to 5.6 calories)
Answer:
I think the answers are 1 to 1 ,9 to 8 , 10 to7
1. Find 3 prime factorization of the number 68.
Answer:
17, 2, 2
Reasoning/Work:
68 divided by 2 is 34.2 is prime, so you leave it alone.34 divided by 2 is 17.2 and 17 are prime, so you leave them alone.There is nothing left to divide, so you have your 3 prime numbers: 2, 2, 17.What is the y-intercept of the graph of the function f(x) = x^2 + 3x + 5?
Answer:
(0,5)
Step-by-step explanation:
To find the y-intercept, substitute in 0 for x and solve for y.
y=x^2 + 3x + 5
y=(0)^2 + 3(0) +5
y=0+0+5
y=5
Since there is no x coordinate for a y-intercept, the answer is (0,5)
Answer:
A. (0, -5) is the right answer on edge 2021
What is the solution ?
Answer:
C
Step-by-step explanation: