Answer:
69500
Step-by-step explanation:
[tex]\frac{695000}{x}=\frac{100\%}{10\%}\\\frac{x}{695000}=\frac{10}{100}\\\Rightarrow x=69500[/tex]
Select the correct answer from the drop-down menu. a machine needs two of its gears replaced. you find two gears, one manufactured 5 years ago and the other manufactured 10 years ago. the specification sheet says that the chance of gear failure is 5% after 5 years and increases to 8% after 10 years. if the gears on the machine are not linked to each other, the probability that both replacement gears will fail is %.
Based on the probability that each gear will fail and the fact that the gears are not linked, the probability that both will fail is 0.4%.
What is the probability that both gears will fail?Because the gears are not linked together, the probability that both will fail can be found as:
= Probability that gear fails after 5 years x Probability that gear fails after 10 years
Solving gives:
= 5% x 8%
= 0.4%
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What is the slope of the line passing through (5, 5) and (-4, 5)?
Round 425 to the nearest ten and to the nearest hundred
Answer:
400
Step-by-step explanation:
425 is rounded to 430 because 5 rounds up the number. 430 rounded to the nearest hundredth is 400 because 3 is below five.
Answer:
nearest tenth: 430
nearest hundredth: 400
Step-by-step explanation:
5 and above rounds up hense 430 and below 50 rounds down hense 400
Question 1 (10 points)
07.01 MC)
Part A: Explain why x = 5 makes 4x-1 s 19 true but not 4x-1 <19. (5 points)
Part B: What value from the set (6, 7, 8, 9, 10) makes the equation 5x+2=47 true? Show your work. (5 points)
GIVE EXPLANATION PLEASE ALONG WITH THE ANSWER
Answer:
7.4,000
8.23,000
9.1,000
Step-by-step explanation:
I'm teacher
PLEASE HELP ME SOLVE THIS!!
Answer:
x = 18
Step-by-step explanation:
Let's find x :-
[tex] {x}^{2} - 11 + 3 = 180^{o} [/tex]
[tex] {x}^{2} - 8x = 180[/tex]
[tex] {x}^{2} = 8x - 180 = 0[/tex]
[tex](x - 18)(x + 10)[/tex]
[tex]x = 18[/tex]
Please answer this! I could not figure it out. Neither could my classmates.
Answer:
[tex]\sf \boxed{\sf D) \ \sf -\frac{5}{3} }[/tex]
Explanation:
[tex]\rightarrow \sf 3x - 5y = -10[/tex]
[tex]\rightarrow \sf - 5y = -10-3x[/tex]
[tex]\rightarrow \sf y = \dfrac{-10-3x}{-5}[/tex]
[tex]\rightarrow \sf y= \dfrac{3}{5} x+2[/tex]
Comparing it with slope intercept formula: y = mx + b
where m is the slope, b is y interceptIdentify the slope for this function:
[tex]\cdot \ \sf slope \ (m) : \dfrac{3}{5}[/tex]
Then perpendicular slope shall be negatively inverse:
[tex]\sf perpendicular \ slope = -(m)^{-1} \quad = \quad -(\dfrac{3}{5} ) ^{-1} \quad = \quad -\dfrac{5}{3}[/tex]
Answer:
D
Step-by-step explanation: i got it right
According to a survey, 15% of city workers take the bus to work. donatella randomly surveys 10 workers. what is the probability that exactly 6 workers take the bus to work? round the answer to the nearest thousandth.
The probability that exactly 6 workers take the bus to work is 0.001
How to determine the probability?The given parameters are:
Sample size, n = 10Required sample = exactly 6Probability of success, p = 15%The probability that exactly 6 workers take the bus to work is calculated using the following binomial expression
[tex]P(x) = ^nC_x * p^x * (1 - p)^{n - x{[/tex]
So, we have:
[tex]P(6) = ^{10}C_6 * (15\%)^6 * (1 - 15\%)^4[/tex]
Evaluate the expression
P(6) = 0.001
Hence, the probability that exactly 6 workers take the bus to work is 0.001
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3. Mohan drives a car at a uniform speed of 60
km/hr, find how much distance is covered in 90
minutes?
Answer:
90
Step-by-step explanation:
60 kmhr for an hour and a half
i hour 60 km
half hour 30 km
60 + 30 =90
can I get help please
Answer:
s=55°
Step-by-step explanation:
sum of angles of the inside pentagon is 540°
2s+2s+1s+130°+135° =540°
5s+265°=540°
5s=540°-265°
5s=275°
5s/5=275°/5
s=55°
It took the computer 120 days to break the code. How many
hours did it take?
Hi Student!
Looking at the question we can see that we are given a number which is 120 days. The question is asking for us to convert the amount of days it took to break the code into hours. We can do this by multiplying the amount of days that we have by 24 because there are 24 hours in a day. The days would cancel and that would result us with just hours left.
[tex]120\ days*\frac{24\ hours}{1\ day}[/tex]
[tex]\frac{120\ days\ *\ 24\ hours}{1\ day}[/tex]
[tex]\frac{2880\ hours}{1}[/tex]
[tex]2880\ hours[/tex]
Therefore, our final answer is that it took the computer 2880 hours to break the code after we converted the days to hours.
Solve. 12 1/2 - (-4 1/2)
Answer:
17
Step-by-step explanation:
two negative signs makes a positive result
i need help with geometry please!
question is in the image above~
the answer is either;
a) 25
b)20
c)18
d)15
Answer:
The answer is 15
Step-by-step explanation:
You just have to multiply angle BC times angle AC to have the answer because angle AB is verticle to angle BD.
describe the end behavior of f(x)=2x^3
Answer:
as x→+∞, f(x)→+∞ as x→-∞,f(x)→-∞
Step-by-step explanation:
What's the square root of Pi times the c length of a right triangle with the a measurement of 12 and the b measurement of 10?
Answer:
[tex]2\sqrt{61\pi }[/tex]
Step-by-step explanation:
Let's find c by using the Pythagorean Theorem: [tex]10^2 + 12^2 = c^2[/tex] so [tex]c = \sqrt{10^2 + 12^2}[/tex]. I'm going to leave c like this so it is easier to multiply by [tex]\sqrt{\pi }[/tex]. [tex]c\sqrt{\pi } = \sqrt{10^2 + 12^2}\sqrt{\pi } = 2\sqrt{61\pi }.[/tex]
Hope this helped! :)
If $535 is invested at an interest rate of 7% per year and is compounded continuously how much for the investment be worth in 15 years?
Answer:
some people an fly high until good bye
Step-by-step explanation:
Answer:
The final balance would be $1,528.84
Step-by-step explanation:
The final balance would be $1,528.84 and the total compound interest would be $993.84
In order for a gear to work in a piece of machinery, the radius of the gear, r, must be greater than 4 cm, but not exceed 4. 1 cm. Which compound inequality represents the situation? r > 4 and r ≤ 4. 1 r > 4 or r ≤ 4. 1 r < 4 and r ≥ 4. 1 r < 4 or r ≥ 4. 1.
Answer:
see the attachment!
i hope this can help you!
A piece rate worker is paid _____.
Answer:
The answer is on the quantity they produce per hour.
Step-by-step explanation:
If they produce more, they will be paid more, based on the rate per finished item
Find the least positive integer that has a remainder of 2 when you divide by 5, a
remainder of 5 when you divide by a 8, and a remainder of 8 when you divide by 11.
When you divide 12 by 5, the remainder is 2. When you divide 37 by 8, the remainder is 5. When you divide 30 by 11, the remainder is 8.
What is a quotient?The term quotient refers to the number that is obtained when you divide a number by another.
When you divide 12 by 5, the remainder is 2. When you divide 37 by 8, the remainder is 5. When you divide 30 by 11, the remainder is 8.
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The solution (-4,0) is a solution to which of the following equations? How do you know?
a)3y-x=4
b)10x+1/2y=3
c)-2x-3y=-4
d)-6x+2y=24
Answer:
Correct option is A)
If the solutions to the equations are 8 and −4, the factored form of the equation is : (x−8)(x+4)=0
Use FOIL to find the quadratic form: x
2
−4x−32=0. Therefore, the correct equation is (A)
Step-by-step explanation:
What do you think?
Don't forget to follow narin ty
BC = ?
please help me
Answer:
tan65=?/7
7*tan65=?
=15.0115
PLS I NEED HELP QWQ
Answer:
∠APB = 106°
Step-by-step explanation:
Method 1: Focus on Triangle APB
Every angle of equilateral triangle ABC is 60°
∠BAP = 60°
∠ABP = 60° - 46° = 14°
Total degrees in one triangle is 180°
∠APB = 180° - 60° - 14° = 106°
Method 2: Exterior Angle Theorm
∠APB = ∠PBC + ∠PCB
∠APB = 46° + 60°
∠APB = 106°
What is the first incorrect step?
A Angelina did not make a mistake. Her work is correct
B Angelina first made a mistake in Step 3. The formula she should have used is an = 0n-1 + d.
Angelina first made a mistake in Step 4. When she distributed the - 7 to the -1, she should have gotten +7
D Angelina first made a mistake in Step 6. In order to find the 41st term, she should have plugged 40 into her equation.
Please answer this question immediatly
Apple be A and blueberries be B
So
As per Venn diagram
n(A)=12n(B)=7n(A$\cap$B)=3#1
n(A)+n(B)12+719P(A)=12/24
P(B)=7/24
Add
12+7/2419/24#2.
n(AUB)
n(A)+n(B)-n(An B).19-316E=8+16=24
P(AUB)=16/24=2/3
Answer:
[tex]\sf a) \quad P(contains\:apple)+P(contains\:blueberry)=\dfrac{5}{6}[/tex]
[tex]\sf b) \quad P(contains\:apple\:or\:blueberry)=\dfrac{11}{15}[/tex]
c) Not mutually exclusive events
Step-by-step explanation:
From inspection of the Venn diagram:
Total number of smoothies = 12 + 3 + 7 + 8 = 30Number of smoothies containing Apple = 12 + 3 = 15Number of smoothies containing Blueberry = 3 + 7 = 10Number of smoothies containing both Apple and Blueberry = 3Number of smoothies not containing Apple or Blueberry = 8[tex]\sf Probability\:of\:an\:event\:occurring = \dfrac{Number\:of\:ways\:it\:can\:occur}{Total\:number\:of\:possible\:outcomes}[/tex]
Let A = contains apple
Let B = contains blueberry
[tex]\implies\sf P(A)=\dfrac{15}{30}=\dfrac{1}{2}[/tex]
[tex]\implies\sf P(B)=\dfrac{10}{30}=\dfrac{1}{3}[/tex]
Part (a)
[tex]\begin{aligned} \implies \sf P(A)+P(B) & =\sf \dfrac{1}{2}+\dfrac{1}{3}\\\\ & = \sf \dfrac{3}{6}+\dfrac{2}{6}\\\\ & = \sf \dfrac{5}{6}\end{aligned}[/tex]
Part (b)
[tex]\textsf{Addition Law}: \quad\sf P(A\:or\: B) = P(A)+P(B)-P(A\:and\:B)[/tex]
Given:
[tex]\sf P(A)+P(B)=\dfrac{5}{6} \quad \textsf{(from part a)}[/tex]
[tex]\sf P(A\:and\:B)=\dfrac{3}{30}\quad \textsf{(where the circles overlap)}[/tex]
[tex]\begin{aligned}\implies \sf \sf P(A\:or\: B) &= \sf P(A)+P(B)-P(A\:and\:B)\\\\& =\sf \dfrac{5}{6}-\dfrac{3}{30}\\\\ & =\sf \dfrac{25}{30}-\dfrac{3}{30}\\\\ & =\sf \dfrac{22}{30}\\\\ & = \sf \dfrac{11}{15}\end{aligned}[/tex]
Or, we can simply read P(contains apple or blueberry) from the Venn diagram.
P(A or B) is the total of the numbers inside the circles divided by the total number of smoothies:
[tex]\sf P(A\:or\:B) = \dfrac{12+3+7}{30}=\dfrac{22}{30}=\dfrac{11}{15}[/tex]
Part (c)
For two events, A and B, where A and B are mutually exclusive:
[tex]\sf P(A \: or \: B)=P(A)+P(B)[/tex]
Given:
[tex]\sf P(A)+P(B)=\dfrac{5}{6} \quad \textsf{(from part a)}[/tex]
[tex]\sf P(A\:or\:B)=\dfrac{11}{15} \quad \textsf{(from part b)}[/tex]
[tex]\sf As\:\dfrac{11}{15}\neq \dfrac{5}{6} \implies P(A \: or \: B)\neq P(A)+P(B)[/tex]
Therefore, choosing a smoothie containing apple and choosing a smoothie containing blueberry are NOT mutually exclusive events.
Line v passes through points (10, 9) and (1, 13). Line w is perpendicular to v. What is the slope of line w?
Answer:
9 / 4
Step-by-step explanation:
The slope of line V can be found using the formula for slope: (y2 - y1) / (x2 - x1).
(y2 - y1) / (x2 - x1)
(13 - 9) / (1 - 10)
(4) / (-9)
Two slopes are perpendicular when the values are reciprocals. The slope of line V is 4 / (-9). The reciprocal of this is: 9 / 4.
Erin has four shirts (whites, blue, red, black) and two pairs of pants (black, blue). She randomly chooses a shirt and a pair of pants. what is the probability that they are the same color?
Answer:
25%
Step-by-step explanation:
8 is the GCF of what two numbers?
Answer:
16 and 24
Step-by-step explanation:
The largest factor for both numbers have in common is 8, so GCF(16,24) = 8
Which answers describe the shape below? Check all that apply.
Answer:
Step-by-step explanation:
A: Not a Rhombus. Adjacent sides are unequal
B: True. Opposite sides are parallel
C: True. Adjacent sides are unequal in length but it has two sets of parallel lines and at least 1 right angle.
D: Not a square. Not all 4 sides are of equal length
E: It is a quadrilateral. A quadrilateral only requires 4 sides.
F: Not true. It does not have the properties of a trapezoid.
A pole 3.8 m high casts a shadow that measures 1.3 m. A nearby tree casts a shadow 7.8 m long. Find the height of the tree.
Answer:
22.8 m
Step-by-step explanation:
the 2 situations are similar triangles
the ratio of corresponding sides are in proportion
let h be the height of the tree , then
[tex]\frac{h}{3.8}[/tex] = [tex]\frac{7.8}{1.3}[/tex] ( cross- multiply )
1.3h = 29.64 ( divide both sides by 1.3 )
h = 22.8 m
What is an estimate for the square root of 150? (Do not find the exact value) Show work
Answer:
Somewhere between 12 and 13, perhaps 12.25
Step-by-step explanation:
This is a (rather) simple explanation:
Look for 2 square numbers that are either side of 150
In this case, it is 144 and 169
The square root of 144 is 12 and the square root of 169 is 13
Therefore we can estimate that the square root of 150 is somewhere between 12 and 13.
As 150 is a lot closer to 144 to 169, I would estimate around 12.25 but you do not need an exact value :)
This is a substitution problem
Mike has 12 computers in his classroom, some are PCs and some are Macs. There are two
Macs for every PC in his classroom. How many Pcs and Macs are there in Mike's classroom
Answer:4 PCs and 8 Macs
Step-by-step explanation:
They consists of equations and unknown variables. There are 4 PCs and 8 Mac in the room
System of equationThey consists of equations and unknown variables
Let the number of PCs be x
Let the number of Mac be y
If Mke has 12 computers, then;
x + y = 12
If there are two Macs for every PC in his classroom, then;
y = 2x
Substitute
x + 2x = 12
3x = 12
x = 4
Recall y = 2x
y = 2(4)
y = 8
There are 4 PCs and 8 Mac in the room
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