Answer:
50% = 50/100 = 0.5
20% = 20/100 = 0.2
25% = 25/100 = 0.25
10% = 10/100 = 0.1
Now let's begin our calculation
50% of 64=(0.5*64)=32
20% of 55=(0.2*55)=11
25% of 16 = (0.25*16) =4
10% of 200=(0.1*200)=20
20% of 86=(0.2*86)=17.2
Step-by-step explanation:
Hope this helps <3
50% of 64=(0.5*64)=32
20% of 55=(0.2*55)=11
25% of 16 = (0.25*16) =4
10% of 200=(0.1*200)=20
20% of 86=(0.2*86)=17.2
please i need help i need 1-12
A company manufactures a brand of lightbulb with a lifetime in months that is normally distributed with mean 3 and variance 1. A consumer buys a number of these bulbs with the intention of replacing them successively as they burn out. The light bulbs have independent lifetimes. What is the smallest number of bulbs to be purchased so that the succession of bulbs produces light for at least 40 months with probability at least 0.9772
Answer:
The smallest number of bulbs to be purchased so that the succession of bulbs produces light for at least 40 months with probability at least 0.9772 is 16.
Step-by-step explanation:
Solving a quadratic equation:
Given a second order polynomial expressed by the following equation:
[tex]ax^{2} + bx + c, a\neq0[/tex].
This polynomial has roots [tex]x_{1}, x_{2}[/tex] such that [tex]ax^{2} + bx + c = a(x - x_{1})*(x - x_{2})[/tex], given by the following formulas:
[tex]x_{1} = \frac{-b + \sqrt{\Delta}}{2*a}[/tex]
[tex]x_{2} = \frac{-b - \sqrt{\Delta}}{2*a}[/tex]
[tex]\Delta = b^{2} - 4ac[/tex]
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score 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. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
n values from a normal distribution:
The mean is [tex]\mu n[/tex] and the standard deviation is [tex]s = \sigma\sqrt{n}[/tex]
A company manufactures a brand of lightbulb with a lifetime in months that is normally distributed with mean 3 and variance 1.
This means that [tex]\mu = 3, \sigma = \sqrt{1} = 1[/tex]
For n bulbs:
The distribution for the sum of n bulds has [tex]\mu = 3n, \sigma = \sqrt{n}[/tex]
What is the smallest number of bulbs to be purchased so that the succession of bulbs produces light for at least 40 months with probability at least 0.9772?
We want that: [tex]S_{n} \geq 40 = 0.9772[/tex].
This means that when X = 40, Z has a pvalue of 1 - 0.9772 = 0.0228, that is, when [tex]X = 40, Z = -2[/tex]. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]-2 = \frac{40 - 3n}{\sqrt{n}}[/tex]
[tex]-2\sqrt{n} = 40 - 3n[/tex]
[tex]3n - 2\sqrt{n} - 40 = 0[/tex]
Using [tex]y = \sqrt{n}[/tex]
[tex]3y^2 - 2y - 40 = 0[/tex]
Which is a quadratic equation with [tex]a = 3, b = -2, y = -40[/tex]
[tex]\Delta = b^{2} - 4ac = (-2)^2 - 4(3)(-40) = 484[/tex]
[tex]y_{1} = \frac{-(-2) + \sqrt{484}}{2*3} = 4[/tex]
[tex]y_{2} = \frac{-(-2) - \sqrt{484}}{2*3} = -...[/tex]
Since y and n have both to be positive:
[tex]y = \sqrt{n}[/tex]
[tex]\sqrt{n} = 4[/tex]
[tex](\sqrt{n})^2 = 4^2[/tex]
[tex]n = 16[/tex]
The smallest number of bulbs to be purchased so that the succession of bulbs produces light for at least 40 months with probability at least 0.9772 is 16.
6. Mason is looking for a new job. One company offers him a salary of $650 per 40-hour work week. What will Mason's hourly pay rate be if he accepts the job?
A$15.75 per hour
B$16.25 per hour
C$16.50 per hour
D$17.75 per hour
Answer:
b. $16.25
...............
how do you get a letter in math to a number
Answer:
You need to the value of the letter "variable."
Step-by-step explanation:
Answer:
Huh? Can I get more details?
Step-by-step explanation:
Ahren’s birthday, a, is less than 6 days away. Which inequality represents Ahran’s birthday? PLz help me
Answer:
the letter " a " because uts just making the sentence a run on
Pls help I need the right answer I need a good grade
Just do question 13
Show your work
Answer:
500 - 20x = 220
Step-by-step explanation:
$500 is the base cost, and she withdraws $20 per week. $220 would be the final cost, so x represents the amount of weeks.
Answer:
500-20w=220
Step-by-step explanation:
w=14
it will take 14 weeks to have her balance at 220
-20w=220-500
-20w=-280
divide both sides by -20
w=14
Select the correct answer.
Jamal is comparing his transportation options for an upcoming trip. He's considering a rental car and a taxi service. Based on his planned routes
during his trip, he expects a taxi service would cost about $128. Jamal could also get a rental car for a dally rate and unlimited miles. If Jamal's
trip will last 4 days and he expects to pay about $24 for gas, which graph shows the range of car rental rates that would be cheaper than the taxi
service?
The range of rental car rates that would be cheaper for Jamal than the taxi service and the graph of inequality x<26 is shown.
What is inequality?It is defined as the expression in mathematics in which both sides are not equal they have mathematical signs either less than or greater than known as inequality.
Let's suppose the rental car rate is:
$x per day
Number of days of Jamal's trip = 4 day
He expects to pay $24 for gas (for car rent)
He expects a taxi service would cost about $128
Inequality can be modelled:
128 > 24 + 4x
4x < 104
x < 26
Thus, the range of rental car rates that would be cheaper for Jamal than the taxi service and the graph of inequality x<26 is shown.
Learn more about the inequality here:
brainly.com/question/19491153
#SPJ2
What is the range of the function graphed below
Answer:
D
Step-by-step explanation:
Please help I do not understand all of this
In the diagram, the measure of angle 6 is 98 degrees.
what is the measure of angle 7?
Answer:
Step-by-step explanation:
<6 and < 7 are supplementary.
<6 + <7 = 180
<6 = 98 degrees
98 + <7 = 180
<7 = 180 - 98
<7 = 82
Last week, Vivian spent a total of $20.00. She spent $9.95 for
tickets to the school fair, $5.95 for food, and the rest for 2 rings
that were on sale at the school fair. If each ring had the same
cost, how much did each ring cost?
5th grade math
Answer:
$2.13
Step-by-step explanation:
20-9.95=10.05
10.05-5.95=4.26
2.13+2.13=4.26
A number is greater than -4 and less than 9. What is the LEAST possible integer value of this number? The LEAST possible integer value is _____.
Answer:
10
Step-by-step explanation:
Rhonda is painting four pictures on paper. She has 1/8 of a gallon of paint to paint all the pictures. How much paint will she use for each painting if she uses the same amount of paint on each
Answer:
1/32
Step-by-step explanation:
To determine the amount of paint she would use for a picture, divide the total gallon of paint by the number of pictures
Paint she would use for one painting = total gallons of paint / number of pictures
1/8 ÷ 4
= 1/8 x 1/4
= 1/32
13. On Saturday, Lukas drove 4x - 5 miles. On Sunday, he drove 3x - 10 miles.
What is the difference in miles driven?
a) x + 15
b) X-5
c) x + 5
d) x - 15
Answer: C) x+5
Hope this helps have a nice day ;)!!!!!!!!!
Lucy went to the store with $50. She bought a pair of jeans for $14.99, three shirts for $4 each, and a bag of Cheetos for $2.25. While at the store, she found another $10 in the bottom of her purse. How much money did Lucy have when she left the store?
Answer:
$30.76
Step-by-step explanation:
Subtract the costs of her purchases from her total of 50:
50 - (14.99 + 3(4) + 2.25)
50 - (14.99 + 12 + 2.25)
50 - 29.24
= 20.76
Now, add the $10 that she found to this:
20.76 + 10
= 30.76
So, when she left the store, Lucy had $30.76
Please help! I dont wanna beg
The AAT is a standardized test to be normally distributed with a mean of 500 and a standard deviation of 100. For this question, determine the z-score for a score of 400
Answer:
100
Step-by-step explanation:
caculator
What are the coordinates of point G? Listed down below
Answer:
D. (8,7)
Step-by-step explanation:
Help me please:) you will get 16 points. Help with number 5
Answer:
you would add a /1 under the 7 so it would be 7/1
Step-by-step explanation:
Answer:
84/12
Step-by-step explanation:
since 7 is a whole, you need to make it a improper fraction so its easier to subtract. We need to do this by making sure the denominator stays the same which is 12.Then do 7x12. you get 84, so 84/12. Then its easier to solve.
In speech class, Carolyn needs at least a B + to keep her financial aid. To earn a B+, the average of her four speeches must be at least an 85. On the first 3 she scored 85, 77, and 81. Determine the minimum score speech to get a B+.
Answer:
The minimum score speech to get a B+ is 89.Step-by-step explanation:
Average of the first 3 = 85 + 77 + 81 / 3
= 243 / 3
= 81
The fourth score ( to get 85 ) = 81 + 89
= 170 / 2
= 85
Answer:
97
Step-by-step explanation:
Relative to the average she wants, Carolyn's scores are ...
85-85 = 0
77-85 = -8
81-85 = -4
Carolyn's score total is -8-4 = -12 points from the average she wants, so she must get 85+12 = 97 on her speech to achieve a B+ average.
_____
Check
With a 97, Carolyn's average would be ...
(85 +77 +81 +97)/4 = 340/4 = 85
Group A is on the north side of the fire and is 800 ft away from group B and 900 feet away from group C. Group A knows that the angle between its two adjacent sides is 89.6. “
The emergency responders want to properly inform the nearby towns of the danger proximity. They will need all three angles. To do this they need some additional information. The emergency responders need to know the angle of Group B and Group C. They also need to know the distance between Groups B and C.
Answer:
1. Length BC is 1200 ft
2. Angle B is 48.6°
3. Angle C is 41.8°
Step-by-step explanation:
1. Determination of the length BC
Side opposite C = c = 800 ft
Side opposite B = b = 900 ft
Angle A = 89.6°
Side opposite BC = a =?
Using cosine rule, we can obtain length BC as follow:
a² = b² + c² – 2bc CosA
a² = 900² + 800² – 2 × 900 × 800 × Cos89.6
a² = 810000 + 640000 – 1440000 × 0.007
a² = 1450000 – 10080
a² = 1439920
Take the square root of both side
a = √1439920
a ≈ 1200 ft
Thus, length BC is 1200 ft
2. Determination of angle B
Side opposite B = b = 900 ft
Side opposite A = a = 1200 ft
Angle A = 89.6°
Angle B =?
Angle B can be obtained by using sine rule as follow:
a / Sine A = b / Sine B
1200 / Sine 89.6° = 900 / Sine B
Cross multiply
1200 × Sine B = 900 × Sine 89.6°
1200 × Sine B = 900
Divide both side by 1200
Sine B = 900/1200
Sine B = 0.75
Take the inverse of Sine
B = Sine¯¹ 0.75
B = 48.6°
Thus, angle B is 48.6°
3. Determination of angle C
Side opposite C = c = 800 ft
Side opposite A = a = 1200 ft
Angle A = 89.6°
Angle C =?
Angle C can be obtained by using sine rule as follow:
a / Sine A = c / Sine C
1200 / Sine 89.6° = 800 / Sine B
Cross multiply
1200 × Sine C = 800 × Sine 89.6°
1200 × Sine C = 800
Divide both side by 1200
Sine C = 800/1200
Sine C = 0.6667
Take the inverse of Sine
C = Sine¯¹ 0.6667
C = 48.6°
Thus, angle C is 41.8°
A tower that is 126 feet tall casts a shadow 148 feet long. Find the angle of elevation of the sun to the nearest degree.
The angle of elevation is ____ degrees.
Answer:
[tex] \boxed{\theta = 40 \degree}[/tex]
Step-by-step explanation:
[tex] \tan( \theta ) = \frac{opp}{adj} = \frac{126}{148} \\ \theta = { \tan}^{ - 1} (0.8513) \\ \theta = 40.4[/tex]
50 points! Please help me
Answer:
x = 8
y = 14
Step-by-step explanation:
2x + 6 = 4x - 10 (Corresponding angles so they're equal)
2x - 4x = -10 - 6
-2x = -16
x = 8
2x + 6 + 13y - 24 = 180 (Supplementary angles so they add up to 180)
2(8) + 6 + 13y - 24 = 180
16 + 6 + 13y - 24 = 180
13y - 2 = 180
13y = 182
y = 14
5 tons, 230 pounds = _____?
Answer:
5 US tons = 10,000 pounds
Step-by-step explanation:
Homework 1:Pythagorean Theorem and it’s Converse
Find The Value of X
The figure gives a dimension for the hypotenuse of 19
the height is given as 17, using the Pythagorean theorem we can find the base of the triangle:
19^2 = 17^2 + base^2
Simplify:
361 = 289 + base^2
Subtract 289 from both sides:
72 = base^2
Take the square root of both sides:
Base = 8.49 Round to 8.5
There are two identical triangles on each sides, so 8.5 x 2 = 17
The length of the two triangle bases is 17
The total base of the object is 31, so the length of the rectangular part in the middle would be 31 - 17 = 14
And X would be the same length as the bottom rectangle.
Therefore x = 14
Answer:
x = 14
Step-by-step explanation:
Inside the trapezoid, there are two right triangles, with a hypotenuse of 19 and a leg of 17. The other leg can be computed with the help of the pythagorean theorem as follows:
[tex] {c}^{2} = {a}^{2} + {b}^{2} \\ {19}^{2} = {17}^{2} + {b}^{2} \\ 361 = 289 + {b}^{2} \\ 361 - 289 = {b}^{2} \\ 72 = {b}^{2} \\ \sqrt{72} = {b}^{2} \\ 8.5 = b[/tex]
Now, we can calculate the value of x, as follow;
8.5 + x + 8.5 = 31
17 + x = 31
x = 31 - 17
x = 14
i need help simplifying 31/20
Answer:
31/20 is already in the simplest form.
Step-by-step explanation:
It can be written as 1.55 in decimal form (rounded to 6 decimal places).
The number 7 added to twice the product of P and Q.
Answer:
Answer: 2pq +7 is the ANS.
What's the answer to this problem? I tried 40 & 40,000,000 for my answers but it's still incorrect.
Answer:
39.51 million
Step-by-step explanation:
Molly is saving money for a new iPad. She has some money already saved, and today she earned $53 from shoveling driveways. She now has $177 saved. Write and solve an equation that represents this situation.
if cos 0=5/13 and sin 0<0,what is cot 0
Answer:
it equals =÷×{[lldelwlsllalao