Answer:
The probability is 0.31
Step-by-step explanation:
In this question, we are tasked with calculating the probability that a random plumber called at Denver will charge an amount greater than $86 given the mean and the standard deviation.
Firstly, we calculate the standard score of $86 using the mean and the standard deviation.
Mathematically;
z-score = (x-mean)/SD
where x = 86, mean = 84 and SD = 4
z-score = (86-84)/4 = 2/4 = 0.5
Hence, we want to calculate P(z ≥ 0.5)
Using standard table
P( (z ≥ 0.5) = 1 - P(z ≤ 0.5) = 1 - ( 0.19146 + 0.5) = 0.30854
To the nearest hundredth = 0.31
A geometric sequence follows________
A.an exponential pattern
B.a linear pattern
C.a quadratic pattern
D.no pattern
A geometric sequence follows an exponential pattern, where each term is found by multiplying the previous term by a constant called the common ratio. Therefore, the answer is A. An Exponential Pattern.
A geometric sequence follows an exponential pattern. This means that each term in the sequence is found by multiplying the previous term by a constant called the common ratio. For example, in the sequence 2, 6, 18, 54, the common ratio is 3. Here, each term is obtained by multiplying the previous term by 3.
To clarify, when we say a sequence follows an exponential pattern, it means the terms grow at a rate that involves doubling, tripling, or multiplying by any fixed number, rather than adding or subtracting a fixed amount as in linear patterns or changing according to a square as in quadratic patterns. This type of pattern can be represented by the formula:
a, ar, ar², ar³,...
where a is the first term and r is the common ratio. Understanding that geometric sequences follow an exponential growth pattern helps in solving various mathematical problems related to population growth, finance, and more.
Which fraction is equal to 0.54 ?
A. 27/50
B. 49/90
C. 6/11
D. 5/4
Answer: A if you want exact not rounded
Step-by-step explanation: 27/50 = .54
49/90 = .544444444444444444444444444444.....repeating
6/11 = .5454545454545454545454545454545...... repeating
5/4= 1.25 which is wrong
Find the percent of change from the original price of $184 to the sale price of $138.
Answer: 25%
Step-by-step explanation:
184-138= 46
184*.25=46
What is 20 times 20 plus 10
Answer:
410
Step-by-step explanation:
20 x 20 = 400 + 10 = 410
Have a great day :)
Answer:
410
Step-by-step explanation:
20 x 20 = 400
400+ 10 = 410
find the perimeter of the figure to the nearest hundredth.
Answer:
I think it's 640 i may be wrong or its 40.
Step-by-step explanation:
when finding the perimeter you just add up the outsides of the shape.
Answer:
90.24 mm
Step-by-step explanation:
Perimeter of the figure
[tex] =(20 + 20 ) + \frac{1}{2} \times 2\pi \: r \\ = (40 ) + 3.14 \times 16 \\ = 40 + 50.24 \\ = 90.24 \: mm[/tex]
(x-4) (x - 4) =
x^2 -8x - 16
Ox^2+8x +16
Ox^2-8x+ 16
Ox^2-8x-16
A birthday candle costs $0.84. How much do 6 birthday candles cost?
Answer:
$5.04
Step-by-step explanation:
Take the cost of one candle and multiply the number of candles desired
6 *.84 =5.04
Answer: $5.04
Step-by-step explanation:
If one candle costs 0.84, and you need 6 then you multiply 0.84 x 6=5.04.
The data set is a list of the heights of 6th grade basketball players: 60, 62, 66, 70, 66, 68, 67, 64, 64, 63. Find the mean of the set.
Answer:
65
Step-by-step explanation:
The mean is 65 because
Step one- Add up 60, 62, 66, 70, 66, 68, 67, 64, 64, 63 together to get 650.Step two- Next you need to divide. since there are 10 numbers that we added up we have to take 650 and divide it by 10. so 650/10=65Finally your answer is 65Hope this helped :)Find angles b,c and d
Answer:
B = 73°, c = 107°, d= 107°
Step-by-step explanation:
[tex]b + 107 \degree = 180 \degree..(straight \: line \: \angle s) \\ b = 180 \degree - 107 \degree \\ \huge \red{ \boxed{b = 73 \degree}} \\ \\ \huge \purple{ \boxed{c = 107 \degree }}\\..(vertical \: \angle s) \\ \\ \huge \orange{ \boxed{d = 107 \degree }}\\..(corresponding \: \angle s) \\ \\ [/tex]
Melissa spent 5 quarters on ice cream. The next day, she spent 13 nickels on candy bar. How much money did Melissa spend?
Answer:
Melissa spent $1.90
Step-by-step explanation:
Each quarter is 25 cents. If you have 5 quarters, that would be 25 times 5. And each nickel is 5 cents, so if you have 13 nickels, then you would multiply 5 by 13. Then to get the total amount spent you would have to add the quarters and nickels. which would be 125 and 65. Every 100 is a dollar. so it would be 190, or $1.90.
Answer:
1.90
Step-by-step explanation:
Clint wants to wrap a present. He placed the gift in a rectangular box measuring 12 in x 3 in x 6 in. How much wrapping paper did he use?
Answer:
she use 216 ft of wrapping paper i think
Compare the subtraction problems (6 8 − 5 8 = 1 8 ) and (6 9 − 7 9 = −1 9 ). Why is the answer to the first problem positive and the answer to the second problem negative? Check all that apply. In the second problem, the first fraction is less than the second fraction. The answer to the first problem is positive because the denominator is even. The answer to the second problem is negative because the denominator is odd. If you subtract a lesser number from a greater number, the answer is positive. If you subtract a greater number from a lesser number, the answer is negative.
Answer:
A D E
Step-by-step explanation:
A. In the second problem, the first fraction is less than the second fraction.
D. If you subtract a lesser number from a greater number, the answer is positive.
E. If you subtract a greater number from a lesser number, the answer is negative.
The correct options are given below:-
A. In the second problem, the first fraction is less than the second fraction.
D. If you subtract a lesser number from a greater number, the answer is positive.
E. If you subtract a greater number from a lesser number, the answer is negative.
What is an expression?Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication and division.
The expressions are as follows:-
(6/ 8 − 5/8 = 1 8 ) and (6/ 9 − 7 / 9 = −1 / 9 )
In the second problem, the first fraction is less than the second fraction. If you subtract a lesser number from a greater number, the answer is positive. If you subtract a greater number from a lesser number, the answer is negative. All the statements are correct for the given expressions.
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George and Cameron went on a bicycle trip they took a bus to the starting point they bought the rest they traveled 350 km in total and they bite 80 km more than they were biased how many kilometers are they travel by bike
Answer:
215
Step-by-step explanation:
We assume that the "starting point" is the starting point for the entire trip, including bus travel.
If B is distance traveled by Bus, and "b" is distance traveled by bike, then we seem to have ...
B + b = 350
b -B = 80
Adding these two equations gives ...
2b = 430
b = 215
They traveled 215 km by bike.
© 8 t-shirts and a hat costs £42.00
3 t-shirts and a hat costs £17.00.
How much does a t-shirt cost?
How much does a hat cost?
<
t-shirt: £
hat: £
Answer:
t-shirt: £5.00, hat: £2.00
Step-by-step explanation:
You can rewrite them into equations:
8t+h=42.
3t+h=17.
Then subtract the h from both equations using the elimination process.
8t-3t is 5t, and 42-17 is 25. The new equation is 5t=25, thus t=5. If we substitute the 5 into one of the other equations, we get h=2.
Answer:
T-shirt: £5
Hat: £2
Step-by-step explanation:
Use simultaneous equations elimination method for best results.
8t + h= 42
3t + h= 17
Subtract the two equations. h gets cancelled. 8t-3t= 5t. 42-17= 25.
5t= 25
t= 25÷5
t= £5
Substitute the value of t to give h.
8(5) + h=42
40+ h=42
h= 42-40
h= £2
The regular price of a calculator is $12.30. Warren paid 75¢ less than the regular price for the calculator. He also paid $1.48 for a pad of paper. What is the total amount Warren paid for these two items?
Answer:
The total amount Warren paid for these two items is $13.03
Step-by-step explanation:
Warren paid:
75¢ less than $12.30 is $12.30 - $0.75 = $11.55 on the calculator.
$1.48 for the pad of paid.
What is the total amount Warren paid for these two items?
$11.55 + $1.48 = $13.03
The total amount Warren paid for these two items is $13.03
please help on this problem
Answer:
n+2n = 150
n = 50
Step-by-step explanation:
n = smaller angle
The other angle is 2n
Add them together to get 150
n+2n = 150
Combine like terms
3n = 150
Divide by 3
3n/3 =150.3
n = 50
32 slices from 4 cakes = slices from 5 cakes
If 4 cakes make 32 slices, one cake will make [tex]\frac{32}{4}[/tex] = 8 slices. Therefore, 5 cakes will make (8 x 5) = 40 slices.
Answer:
You can get 40 slices from 5 cakes because each cake has 8 slices in it.
Step-by-step explanation:
a ladder 13m long is placed on the ground in such a way that it touches the top of a vertical wall 12m high. find the distance of the foot of the ladder from the bottom of the wall
Answer:
by applying Pythagoras theorem;
the ladder(13m) acts as hypotenuse
the wall (12m) acts as height
the distance between the the two is the base
therefore
a² + b² = c²
b²= c²- a²
b²= 169 - 144
b² = 25
√b² = √25
b= 5m
the distance is 5m
what is the area of a semicircle with a diameter of 21.5
Area of a circle = PI x R^2
r = 1/2 diameter
r = 21.5/2
r = 10.75
Area of circle = 3.14 x 10.75^2 = 3.14 x 115.5625 = 362.86625 square units.
A semicircle is half a circle:
Area of semicircle = 362.86625 / 2 = 181.433125 square units (round the answer as needed).
The sum of the first
6
66 terms of a geometric series is
15
,
624
15,62415, comma, 624 and the common ratio is
5
55.
What is the first term of the series?
Answer:
The first term of the series is 4
Step-by-step explanation:
The sum of the first 6 terms of a geometric series is 15 , 624 and the common ratio is 5 .
To find the first term, we use the formula for the sum of terms in a geometric series.
Since the common ratio of the series is greater than 1, the sum of [tex]n^{th}[/tex] term of the geometric series is;
[tex]S = \frac{a(r^n - 1)}{r - 1}[/tex]
where r = common ratio
a = first term
When S = 15,624, r = 5 and n = 6, the first term, a, will be:
[tex]15624 = \frac{a(5^6 - 1)}{5 - 1} \\\\15624 = \frac{a(15625 - 1)}{4}\\\\15624 = \frac{a(15624)}{4}\\\\a = \frac{4 * 15624}{15624}[/tex]
a = 4
The first term of the series is 4.
A lab technician made a 14 cm diameter hole through the middle of a cylinder that has a diameter of 20 cm and a height of 28 cm. What is the approximate volume of the finished cylinder, to the nearest tenth of a centimeter
Answer:
The volume of the finished cylinder is [tex]4486.2 m^3[/tex]
Step-by-step explanation:
To find the volume of the finished cylinder, we have to first find the volume of the hole (with 14 cm diameter and a height of 28 cm) and subtract it from the volume of the original cylinder (with diameter of 20 cm and a height of 28 cm).
Note: The hole is also cylindrical in shape.
The volume of a cylinder is given as:
[tex]V = \pi r^2h[/tex]
where r = radius, h = height
VOLUME OF THE HOLE
The diameter of the hole is 14 cm, hence, its radius is 7 cm (14 / 2 = 7)
Its volume is:
[tex]V = \pi *7^2 * 28\\V = 4310.3 m^3[/tex]
VOLUME OF THE ORIGINAL CYLINDER
The diameter of the cylinder is 20 cm, hence, its radius is 10 cm (20 / 2 = 10)
Its volume is:
[tex]V = \pi *10^2 * 28\\V = 8796.5 m^3[/tex]
Hence, the volume of the finished cylinder will be:
[tex]8796.5 - 4310.3 = 4486.2 m^3[/tex]
The volume of the finished cylinder is [tex]4486.2 m^3[/tex]
60.2 rounded to the nearest hundredth
To round 60.2 to the nearest hundredth, we need to look at the digit in the thousandth place, which is the second digit after the decimal point. If this digit is 5 or greater, we'll round up, and if it's less than 5, we'll round down. In this case, the digit in the thousandth place is 2, which is less than 5. So, when rounding 60.2 to the nearest hundredth, we round down to 60.20.
Explanation:To round 60.2 to the nearest hundredth, we need to look at the digit in the thousandth place, which is the second digit after the decimal point. If this digit is 5 or greater, we'll round up, and if it's less than 5, we'll round down.
In this case, the digit in the thousandth place is 2, which is less than 5. So, when rounding 60.2 to the nearest hundredth, we round down to 60.20.
Answer: 60.20
On Monday, 218 students went on a trip to the zoo. All 5 buses were filled and 8 students
had to travel in cars. How many students were in each bus?
Answer:
Their were 42 kids on each bus.
Step-by-step explanation:
You have to divide the number of kids(210) by the number of buses.
Answer:
42
Step-by-step explanation:
if you take the total of kids and subtract the 8 that went into the cars the you do 210 divided by the total of buses and you get 42
what is the value of 8 plus (27 divided by 9) power of two
Answer:
8+ (27/9)2 = 17
A bag contains 18 small red, 19 small black, 13 large black, and 15 large red T-shirts, and nothing else. What is the least number of T-shirts Alpa must take out of the bag (without looking at them) to be absolutely sure of having at least two T-shirts among them that differ only by size or only by color?
Alpa must take out five T-shirts in order to be absolutely sure of having at least two T-shirts that differ only by size or by color.
Explanation:The subject of this question is a probability problem, which falls under the domain of Mathematics, more specifically combinatorics. In scenarios such as this, we want to ensure we have at least two T-shirts that only differ by size or color. To guarantee this, Alpa must select one T-shirt of each color and size first. That means she must take out four T-shirts: a red small, a red large, a black small, and a black large. For the fifth T-shirt that she takes out, it will either be the same color as one she already has but different in size or it will be the same size as one she already has but a different color. So, the least number of T-shirts Alpa must take out of the bag in order to be absolutely sure of having at least two T-shirts among them that differ only by size or color is five.
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Trip uses 3.175 liters of water to make
slime. How many milliliters of water does he
use to make the slime?
Answer:
3,175 milliliters
Step-by-step explanation:
There are 1,000 milliliters in a liter, therefore you must use the equation
3.175(1,000), which gives you 3,175 milliliters of water
Answer:
I think 3,175 milliliters in volume if that's what u are looking for
Step-by-step explanation: I converted 3.175 liters to milliliters.
Fencing is sold for $1.50 per foot at the garden store. Shawn needs 24 feet of fence for his new puppy's yard. How much will the fence cost?Immersive Reader
Answer:
$36
Step-by-step explanation:
1.5 × 24 = 36
Hope this helps!
-MoCKEry
A person places $5540 in an investment account earning an annual rate of 2.5%,
compounded continuously. Using the formula V = Pent, where V is the value of the
account in t years, P is the principal initially invested, e is the base of a natural
logarithm, and ris the rate of interest, determine the amount of money, to the
nearest cent, in the account after 20 years.
Answer:
$9,133.92
Step-by-step explanation:
V = P*e^(rt)
V = $5540 * e ^ (0.025*20)
V = 5540 * e^(0.5)
V = 5540 * 1.648721
V = $9,133.9158
about $9,133.92
Final answer:
The amount of money in the account after 20 years with continuous compounding at an annual rate of 2.5% is approximately $9138.13.
Explanation:
To calculate the amount of money in an investment account after 20 years with continuous compounding, we use the formula V = Pe^rt, where:
P is the principal amount ($5540),
e is the base of the natural logarithms (approximately 2.71828),
r is the annual interest rate (2.5% or 0.025 as a decimal), and
t is the number of years the money is invested (20 years).
Plugging these values into the formula, we get:
V = $5540 × e^(0.025 × 20)
Using a calculator with the capability to compute e raised to a power, we find:
V ≈ $5540 × 2.71828^0.5
V ≈ $5540 × 1.64872
V ≈ $9138.13
Hence, the value of the investment after 20 years, to the nearest cent, is approximately $9138.13.
What is the distance from the origin to point A graphed on the complex plane below? On a coordinate plane, Point A is at (negative 3, negative 2). StartRoot 5 EndRoot StartRoot 13 EndRoot 9 13
Answer:
b on edge
Step-by-step explanation:
The distance between the origin and point A is √13.
How to find the distance?
We know that the distance between two points (a, b) and (c, d) is:
[tex]D = \sqrt{(a - c)^2 + (b - d)^2}[/tex]
Here we want to find the distance between the origin, (0, 0), and the point A, which has coordinates (-3, -2).
Using the above formula we will get:
[tex]D = \sqrt{(-2 - 0)^2 + (-3 - 0)^2} = \sqrt{4 + 9} = \sqrt{13}[/tex]
The distance between the origin and point A is √13.
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please help me out here! I’ll give you brainliest if you give me the correct answer! :)
Answer:
0.31
0.36
A
Step-by-step explanation:
Answer:
0.31 and 0.36 (A) is the answer