Answer:
a. 1/2 of Josh's cookies is the same thing as 1/2 of c which can be written as 1/2c.
b. We know that one half of the amount Josh ate is 1/2c from the previous problem. One more than that is simply 1/2c + 1.
The life spasms of a computer manufacturer’s hard drives are normally distributed, with a mean of 3 years 6 months and a standard deviation of 9 months. What is the probability of a randomly selected hard drive from the company lasting between 2 years and 3 months and 3 years and 3 months? Use the portion of the standard normal table below to help answer the question.
Answer:
32%
Step-by-step explanation:
Got it right on the quiz.
Pls give me brainliest
Answer:
32%
Step-by-step explanation:
Simplify $\frac{1+\sqrt{2}}{2+\sqrt{3}}$. Your solution can be converted to the form $A(1+\sqrt{B})-(\sqrt{C}+\sqrt{D})$, where $A$, $B$, $C$, and $D$ are positive integers. What is $A+B+C+D$?
Answer:
A+B+C+D = 13
Step-by-step explanation:
The given expression is:
[tex]\dfrac{1+\sqrt{2}}{2+\sqrt{3}}[/tex]
We have to simply it and express it in the form of:
[tex]A(1+\sqrt{B})-(\sqrt{C}+\sqrt{D})[/tex]
Multiply and divide the given expression with [tex]2-\sqrt 3[/tex]:
[tex]\dfrac{1+\sqrt{2}}{2+\sqrt{3}} \times \dfrac{2-\sqrt 3}{2-\sqrt 3}\\\Rightarrow \dfrac{(1+\sqrt{2}) \times (2-\sqrt 3)}{(2+\sqrt{3})\times (2-\sqrt 3)}\\\Rightarrow \dfrac{2+2\sqrt2-\sqrt3-\sqrt6}{2^2-(\sqrt{3})^2}\\\Rightarrow \dfrac{2+2\sqrt2-\sqrt3-\sqrt6}{4-3}\\\Rightarrow \dfrac{2(1+\sqrt2)-(\sqrt3+\sqrt6)}{1}\\\Rightarrow 2(1+\sqrt2)-(\sqrt3+\sqrt6)[/tex]
It is the simplified form of given expression.
Formula used:
[tex](a+b)(a-b) = a^{2} -b^{2}[/tex]
Comparing the simplified expression with [tex]A(1+\sqrt{B})-(\sqrt{C}+\sqrt{D})[/tex]
[tex]2(1+\sqrt2)-(\sqrt3+\sqrt6)=A(1+\sqrt{B})-(\sqrt{C}+\sqrt{D})\\\Rightarrow A =2, B=2, C=3\ and\ D=6[/tex]
So, value of
[tex]A+B+C+D = 2+2+3+6 = 13[/tex]
PLEASE HELP Draw the polygon whose vertices are (-2, 3), (-2, -3) (3, 1) and ( 3, 7) ,
Answer:
Parallelogram
Step-by-step explanation:
When I graphed these points on a coordinate plane and connect the points, I see a parallelogram.
PLZ MARK BRAINLIEST!!!
Wyatt’s eye-level height is 120 ft above sea level, and Shawn’s eye-level height is 270 ft above sea level. How much farther can Shawn see to the horizon? Use the formula d = StartRoot StartFraction 3 h Over 2 EndFraction EndRoot, h greater-than-or-equal-to 0 with d being the distance they can see in miles and h being their eye-level height in feet.
StartRoot 5 EndRoot mi
3 StartRoot 5 EndRoot mi
15 StartRoot 5 EndRoot mi
45 StartRoot 5 EndRoot mi
Answer:
The answer is 3√5 mi.
The formula is: d = √(3h/2)
Wyatt:
h = 120 ft
d = √(3 * 120/2) = √180 = √(36 * 5) = √36 * √5 = 6√5 mi
Shawn:
h = 270 ft
d = √(3 * 270/2) = √405 = √(81 * 5) = √81 * √5 = 9√5 mi
How much farther can Shawn see to the horizon?
Shawn - Wyatt = 9√5 - 6√5 = 3√5 mi
Answer:
its b
Step-by-step explanation:
i just did it
A card is drawn one at a time from a
well-shuffled deck of 52 cards. In 11
repetitions of this experiment, 2 kings
are drawn. If E is the event in which a
king is drawn in the 11 trials, find the
experimental probability P(E).
P(E) = 11
Enter
Answer:
[tex]\dfrac{2}{11}[/tex]
Step-by-step explanation:
It is given that a card is drawn one at a time from a well-shuffled deck of 52 cards.
Total repetitions of this experiment = 11
Number of kings in the experiment = 2
Let E is the event in which a king is drawn in the 11 trials. So
[tex]P(E)=\dfrac{\text{Number of kings in the experiment}}{\text{Total repetitions of this experiment}}[/tex]
[tex]P(E)=\dfrac{2}{11}[/tex]
Therefore, the experimental probability P(E) is [tex]\dfrac{2}{11}[/tex].
Easy Cooking to a cooking supply company Last year, the company sold 21,000 ovens. This year, they sold 49 fewer ovens than that
How many ovens did they sell this year?
Answer:
20,951
Step-by-step explanation:
If the company sold 21,00 ovens and this year they sold 49 fewer, then that means we are being told to subtract 49 from 21,00 which is the initial value.
21,000-49 = 20,951
therefore, this year they sold 20,951 (twenty-thousand nine hundred fifty one) ovens.
Answer:
20,951 ovens
Step-by-step explanation:
Last year, the company sold 21,000 ovens. This year, they sold 49 fewer ovens that that.
Fewer, means less, or subtractions. Therefore; we must subtract 49 (the difference between this year and last year) from 21,000 (the number of ovens sold this year)
21,000-49
20,951
The company sold 20,951 ovens this year.
The set of numbers 1, 3, 7, 11, 15, and 36 contains all possible values for q. What value of q makes the following equation true: 4q+9=37 ?
Answer:
q = 7
Step-by-step explanation:
4q + 9 = 37
If a letter and a number are together it means multiply.
Substitute 7 into the equation:
4(7) + 9 = 37
28 + 9 = 37
So q must equal 7
1. (6.2 lesson) Calculate the value of z. (Round to the hundredth) *
z
18
520
22.84
O 29.24
O O O O
18.24
0.04
This is a required question
Answer:
The answer is explained below
Step-by-step explanation:
The question is not complete, I would explain how to calculate the value of Z
The z score is a measure in statistic used to determine the number of standard deviations by which the raw score if from the mean of a normal distribution. If the z score is positive then the raw score is above the mean while if a z score is negative the raw score is below the mean. The z score (z) is given by the formula:
[tex]z=\frac{x-\mu}{\sigma}[/tex]
Where x is the raw score, μ is the mean and σ is the standard deviation.
Let us assume that the mean (μ) = 20 and the standard deviation (σ) = 3. To calculate the z score for x = 30 it is given by:
[tex]z=\frac{x-\mu}{\sigma}=\frac{30-20}{3}=3.33[/tex]
Find P(Not a 3)????????????
Answer:
0.85Option B is the right option.
Solution,
P(3)=0.15
P(Not a 3)=1-P(3)
=1-0.15
=0.85
Hope this helps...
Good luck on your assignment
Answer:
I think it's c im not to sure
Step-by-step explanation:
If ABCD is a rectangle, and ABD=55, what is the value of X?
Answer:
x= 70
Step-by-step explanation:
This question needs an attachment; see attached
Given
ABD = 55
Required
Find x?
In the figure shown in the attachment, angle b and ABD are alternate interior angles;
From parallel and perpendicular line theorems; alternate interior angles are equal.
This implies that <b = 55
Also; when a rectangle is divided by two diagonals, the resulting triangles are isosceles triangles;
where 2 sides and 2 angles are equal;
This implies that <b = <c = 55
Sum of angles in a triangle = 180;
So,
<x + <b + <c = 55
x + 55 + 55 = 180
x + 110 = 180
Subtract 110 from both sides
x + 110 - 110 = 180 - 110
x = 180 - 110
x = 70
Simplify the fraction. 5/9-(1/2*15/9) optiona -- 1/9 1/3 2/9 2/3
Answer:
interpretation: -- 1/9 1/3 2/9 2/3
Input:
-(-1)/9×1/3×2/(9 + 2/3)
Exact result:
2/261
somebody pls help with no. 5
Answer:
a) is -7
Step-by-step explanation:
8=2048[tex](2)^{n-1}[/tex]
[tex]\frac{8}{2048} =\frac{2048^{n-1} }{2048}[/tex]
8/2048=0.00390625 = [tex](2)^{n-1}[/tex]
[tex]2^{-8}[/tex] = 0.00390625
-8-1=-7
and do the rest with the same equation which is tn=a[tex]r^{n-1}[/tex]
what is true of the graph of two lines 3y-8=-5x and 6y=-10x+16
Answer:
Both lines are equal (they are the same)
Step-by-step explanation:
Given
[tex]3y - 8 = -5x[/tex]
[tex]6y = -10x + 16[/tex]
Required
What is true about graph of both lines
Questions like this are better solved when there's option(s) to select from. However, some of the properties of line equation that I'll consider are to check if both lines are either parallel or perpendicular
To do this,
The first thing to do is to calculate the slope of both lines
[tex]3y - 8 = -5x[/tex]
Add 8 to both sides
[tex]3y - 8 + 8 = -5x + 8[/tex]
[tex]3y = -5x + 8[/tex]
Divide both sided by 3
[tex]\frac{3y}{3} = -\frac{5x}{3} + \frac{8}{3}[/tex]
[tex]y = -\frac{5x}{3} + \frac{8}{3}[/tex]
The slope of the line is the coefficient of x;
[tex]Slope = -\frac{5}{3}[/tex]
Solve for the y intercept; Let x = 0
[tex]y = -\frac{5 * 0}{3} + \frac{8}{3}[/tex]
[tex]y = 0 + \frac{8}{3}[/tex]
[tex]y = \frac{8}{3}[/tex]
Solve for the x intercept; Let y = 0
[tex]0 = -\frac{5x}{3} + \frac{8}{3}[/tex]
Subtract [tex]\frac{8}{3}[/tex] from both sides
[tex]0 - \frac{8}{3} = -\frac{5x}{3} + \frac{8}{3} - \frac{8}{3}[/tex]
[tex]- \frac{8}{3} = -\frac{5x}{3}[/tex]
Subtract both sides by [tex]-\frac{3}{5}[/tex]
[tex]-\frac{3}{5}*- \frac{8}{3} = -\frac{5x}{3} * -\frac{3}{5}[/tex]
[tex]-\frac{3}{5}*- \frac{8}{3} = x[/tex]
[tex]\frac{3}{5} * \frac{8}{3} = x[/tex]
[tex]\frac{8}{5} = x[/tex]
[tex]x = \frac{8}{5}[/tex]
------------------------------------------------------------------------------------------------------
[tex]6y = -10x + 16[/tex]
Divide both sides by 6
[tex]\frac{6y}{6} = -\frac{10x}{6} + \frac{16}{6}[/tex]
[tex]y = -\frac{10x}{6} + \frac{16}{6}[/tex]
Simplify fractions to lowest term
[tex]y = -\frac{5x}{3} + \frac{8}{3}[/tex]
The slope of the line is the coefficient of x;
[tex]Slope = -\frac{5}{3}[/tex]
Solve for the y intercept; Let x = 0
[tex]y = -\frac{5 * 0}{3} + \frac{8}{3}[/tex]
[tex]y = 0 + \frac{8}{3}[/tex]
[tex]y = \frac{8}{3}[/tex]
Solve for the x intercept; Let y = 0
[tex]0 = -\frac{5x}{3} + \frac{8}{3}[/tex]
Subtract [tex]\frac{8}{3}[/tex] from both sides
[tex]0 - \frac{8}{3} = -\frac{5x}{3} + \frac{8}{3} - \frac{8}{3}[/tex]
[tex]- \frac{8}{3} = -\frac{5x}{3}[/tex]
Subtract both sides by [tex]-\frac{3}{5}[/tex]
[tex]-\frac{3}{5}*- \frac{8}{3} = -\frac{5x}{3} * -\frac{3}{5}[/tex]
[tex]-\frac{3}{5}*- \frac{8}{3} = x[/tex]
[tex]\frac{3}{5} * \frac{8}{3} = x[/tex]
[tex]\frac{8}{5} = x[/tex]
[tex]x = \frac{8}{5}[/tex]
-------------------------------------------------------------------------------------------------------
By comparing the slope, x intercept and y intercept of both lines;
It'll be observed that they have the same slope, x intercept and y intercept
This implies that both lines are equal; in other words, they are the same.
Betty spent 50 minutes on solving 25 questions. If she spent the same amount of time solving each question, how long would it take to do 30 questions
a) Mr.Wilson bought a mountain bike for Rs 7,600 and sold it at 10% profit. If he had bought it for Rs 8,000, what would be his profit or loss percent?
Answer:
[tex]5\%[/tex] loss.
Step-by-step explanation:
[tex]7600 \times (1+10\%)[/tex]
[tex]7600 \times 1.1=8360[/tex]
[tex]8000 \times (1+10\%)[/tex]
[tex]8000 \times 1.1=8800[/tex]
His loss is Rs 440.
[tex]\frac{440 \times 100}{8800}[/tex]
[tex]=5[/tex]
Answer:
Profit %age = 4.5 %
Step-by-step explanation:
Mr. Wilson bought the bike for = Rs 7,600
Profit %age = 10% of 7,600
Profit = [tex]\frac{10}{100}* 7600[/tex]
Profit = Rs 760
Amount in which the bike is sold = 7600 + 760 = Rs 8360
If Mr. Wilson had bought the bike for Rs. 8000 and sold it in the same amount,
So he would still be
having a profit of Rs. 360
How much Profit %age:
Profit % age = [tex]Profit * 100/CP[/tex]
Profit %age = 360 * 100 / 8000
Profit % age = 36,000 / 8000
Profit %age = 4.5 %
3 3/7 divided by 6 2/5
Answer:
15/28
Step-by-step explanation:
3 3/7 ÷ 6 2/5
Change to improper fractions
(7*3+3)/7 ÷ (5*6+2)/5
24/7 ÷32/5
Copy dot flip
24/7 * 5/32
Cancel an 8 from the numerator and denominator
3/7 * 5/4
15/28
Answer: 15/28
Explanation: First write each mixed number as an improper fraction.
As a quick review, to write a mixed number as an improper fraction,
we multiply the denominator times the whole number,
then we add the numerator.
First rewrite 3 and 3/7 as 24/7 and 6 and 2/5 as 32/5.
So we have 24/7 ÷ 32/5.
Dividing by a fraction is the same as multiplying by its reciprocal.
In other words, we can change the division
sign to multiplication and flip the second fraction.
So 24/7 ÷ 32/5 can be rewritten as 24/7 × 5/32.
Before multiplying, noice that the 24 and 32 cross-cancel to 3 and 4.
So we have 3/7 × 5/4 which is 15/28.
Determine the value of x in the triangle shown. answers: 48° 42° 228° 132°
Answer:132
Step-by-step explanation:
Answer:
132°
Step-by-step explanation:
first find the interior angle of the triangle.
the interior angle of a triangle is 180°
90°+42°+y°=180°
132°+y°=180°
y°=180°-132°
y°=48°
(y° represents the empty part).
angle on a straight line is equal to 180°
y°+x°=180°
48°+x°=180°
x°=180°-48°
x°=132°
Multiply. 6.421 x 10 = _____ 0.6421 64.21 642.10 6,421
Answer:
64.21
Step-by-step explanation:
After performing some simple mathematical operations, we know that 6.421 x 10 = 64.21.
What exactly are mathematical operations?An operation is a function in mathematics that transforms zero or more input values into a clearly defined output value. The operation's arity is determined by the number of operands. A mathematical action is called an operation. Mathematical operations include addition, subtraction, multiplication, division, and finding the root.So, 6.421 x 10 = ?:
Evaluate as follows:
6.421 x 1064.21Therefore, after performing some simple mathematical operations, we know that 6.421 x 10 = 64.21.
Know more about mathematical operations here:
https://brainly.com/question/28937023
#SPJ2
The correct question is given below:
Multiply. 6.421 x 10 = _____
A. 0.6421
B. 64.21
C. 642.10
D. 6,421
Slide the green dot from 0 to plot the number at the correct
location
Pablo owes his sister $9. His sister Nina owes their
mother three times that amount. What number on the
number line represents Nina's debt?
Plot 9
9
?
-30 -27 -24 21 -18 -15 -12 -9
3x + 2 = x + 4(x+2) I really need help
Answer:
x=-3
Step-by-step explanation:
3x+2=x+4x+8
3x+2=5x+8
-2x+2=8
-2x=6
x=-3
Answer:
[tex]x=-3[/tex]
Step-by-step explanation:
[tex]3x + 2 = x + 4(x+2)[/tex]
Expand the brackets.
[tex]3x + 2 = x + 4x+8[/tex]
[tex]3x + 2 = 5x+8[/tex]
Subtract [tex]-5x[/tex] and [tex]-2[/tex] from both sides of the equation.
[tex]3x-5x=8-2[/tex]
[tex]-2x=6[/tex]
[tex]\frac{-2x}{-2}=\frac{6}{-2}[/tex]
Divide [tex]-2[/tex] on both sides of the equation.
[tex]x=-3[/tex]
Which of the following is a radical equation?
X+ V5 = 12
x² = 16
3+ x^7=13
7-14
Find the square of
x^2+8^x+1
(please show work)
Answer:
x^2 + 2^3x + 1
Step-by-step explanation:
In order to factor an integer, we need to repeatedly divide it by the ascending sequence of primes (2, 3, 5...).
The number of times that each prime divides the original integer becomes its exponent in the final result.
In our example,
Prime number 2 to the power of 3 equals 8 .
I NEED HELP NOW PLS ASAP
Answer:
Step-by-step explanation:
hello,
I understand that there are only 4 cards and then the player draw a card out of the 4 cards, replace it so the second draw is still out of the 4 cards
How many ways can you draw two cards?
as the first card is replaced, this is 4*4=16
so there is 16 possibles ways
hearts hearts
hearts clubs
hearts diamonds
hearts spades
clubs hearts
clubs clubs
clubs diamonds
clubs spades
diamonds hearts
diamonds clubs
diamonds diamonds
diamonds spades
spades hearts
spades clubs
spades diamonds
spades spades
out of these 16 ways, how many have same colour for both cards?
I assume that there are only two colours Red and Black, so we can have
only 8 ways so the first probability is 8/16 = 1/2
out of these 16 ways, how many are red ace first and black ace?
There are 4 ways so the probability is 4/16 = 1/4
hope this helps
Standard deck has aces in four colors
Player draws one from four so the probability of drawing any first card is 1/4 (in the first drawing)
We replace the card so in second drowing its the same
So the probability of drawing two card of one chosen color is 1/4*1/4, and we have four colors
The probability of drawing two card of the same color is:
1/4*1/4*4 = 1/4There are 2 red aces and 2 black aces
(sorry for coments - not reading carefully)
So a probability of drawing red ace in first drawing is 2/4=1/2
a probability of drawing black ace in second drowing is the same ('cause we replace the one drawn first)
So the probability that a red ace is drawn first and then the black ace is:
1/2*1/2 = 1/4Write 62° 21' 47"' as a decimal to the nearest thousandth.
Answer:
62.363°
Step-by-step explanation:
The decimal form of degree is 62.363°.
What are decimal degrees?Geographic coordinates for latitude and longitude can be expressed as decimal fractions of a degree using the notation decimal degrees (DD). Many geographic information systems (GIS), web mapping tools like OpenStreetMap, and GPS units all employ DD.
Latitudes that are positive are north of the equator and those that are negative are south of the equator. Longitudes that are positive are east of the Prime Meridian and those that are negative are west of the Prime Meridian.
Given 62°21'47"
A DMS value is converted to decimal degrees using the formula:
[tex]{\displaystyle \mathrm {D} _{\text{dec}}=\mathrm {D} +{\frac {\mathrm {M} }{60}}+{\frac {\mathrm {S} }{3600}}}[/tex]
D = 62°
M = 21'
S = 47"
substitute the values,
[tex]{\displaystyle \mathrm {D} _{\text{dec}}[/tex] = 62 + 21/60 + 47/3600
[tex]{\displaystyle \mathrm {D} _{\text{dec}}[/tex] = 62 + 0.35 + 0.01305
[tex]{\displaystyle \mathrm {D} _{\text{dec}}[/tex] = 62.3630
[tex]{\displaystyle \mathrm {D} _{\text{dec}}[/tex] = 62.363°
Hence the decimal form is 62.363°.
Learn more about decimal degrees;
https://brainly.com/question/7621219
#SPJ5
Can you please help me! What is m∠A?
identify the perfect cube root contained as a factor in 54.
Answer:
54 = 2 x 27
the cube root of 27 is 3.
the answer is C
Step-by-step explanation:
Answer:
The perfect cube is 27 and the perfect cube root is 3
Step-by-step explanation:
( 54) ^ 1/3
( 27*2) ^ 1/3
(27) ^1/3 * (2)^1/3
3 * (cube root of 2)
The perfect cube is 27 and the perfect cube root is 3
WILL MARK BRAINLIEST ANSWER Solve the formula for the specified variable. V = XLJ for X
Answer:
X = (V / LJ)
Step-by-step explanation:
V = XLJ
Since you're isolating X, divide both sides by (LJ)
(V / LJ) = X
What is the vertex of the graph of the function below? y = x^2 - 4x + 3 A. (1, -1) B. (1, 0) C. (2, -1) D. (2, 0)
Answer: (1, 0)
Step-by-step explanation:
Just plug in the coordinates for x and y to see if the final answer has x and y equivalent.
(0) = (1)^2 - 4(1) + 3
0 = 1 - 4 + 3
0 = -3 + 3
0 = 0
Answer:
(2, -1)
Step-by-step explanation:
Ap3x
Answer asap will mark as brainliest if correct
Answer:
D. x = +/-sqrt(y - 11)
Step-by-step explanation:
y = x^2 + 11
x^2 + 11 = y
x^2 = y - 11
x = +/-sqrt(y - 11)
The university theater uses a combination of one letter (A – Z) and two digits (0 – 9) to identify their reserved seats. How many reserved seats are possible using a combination of one letter followed by two digits?
1.) 2600
2.) 234
3.) 260
4.) 2106
Answer:
Correct option: 1) 2600
Step-by-step explanation:
The letter has a total of 26 possible values (from 'a' to 'z'), and each digit has a total of 10 possible values (from 0 to 9).
So, to find the number of reserved seats possible, we just need to multiply the number of possible values of each letter and digit.
We have one letter and two digits, so we have:
26 * 10 * 10 = 2600 possible reserved seats
Correct option: 1)
Answer:
1.) 2,600
Step-by-step explanation: