X is distributed with mean 6 and standard deviation 2 and Y=2X+5. Find the mean and standard deviation of the Y distribution.
What happened to the owl who swallowed a watch It's a math riddle can you answer it?
Answer:Explained below
Step-by-step explanation:
"Owl no longer needs to watch as he already has one"
A car factory is able to produce a 120 cars per day. A new technology innovation improves the production by 10%. How many cars can the factory now produce in 5 days?
The number of cars produced in 5 days is 660.
What is an equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
We have,
Number of cars produced per day = 120
Increased in production = 10%
Now,
We can make an equation for the number of production of cars in x days.
y = (110% of 120)x
y = 132x
Now,
The number of cars produced in 5 days.
= 132 x 5
= 660
Thus,
The number of cars produced in 5 days is 660.
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Michael drove 210 miles in 3 1/2 hours. Jordan drove 330 miles in 6 hours. Which is an accurate comparison of the rates at which the two people drove?
Michael = 210 / 3.5 = 60 miles per hour
Jordan = 330/ 6 =55 miles per hour
Michael drove 5 miles per hour faster than Jordan
Answer:
M 5
Step-by-step explanation:
The volume of each cube is given. Estimate the side length of the cube to the nearest integer. Use the formula V=s(cubed). The volume of the cube is 520cm cubed
If 2/3 of the girls have brown eyes and 1/4 of the girls have blue eyes, what fraction of the girls in class have niether blue or nrown eyes?
Answer:
1/12
Step-by-step explanation:
The fraction of the girls in class that have neither blue or green eyes is given by B = 1/12 of the girls
What is a Fraction?An element of a whole is a fraction. The number is represented mathematically as a quotient, where the numerator and denominator are split. Both are integers in a simple fraction. A fraction appears in the numerator or denominator of a complex fraction. The numerator of a proper fraction is less than the denominator.
Given data ,
Let the fraction of the girls in class that have neither blue or green eyes be represented as B
Now , the value of B is
Let the fraction of girls in the class that have blue eyes = ( 2/3 ) of girls
Let the fraction of girls in the class that have brown eyes = ( 1/4 ) of girls
So , the total fraction A = ( 2/3 ) + ( 1/4 )
The total fraction of girls with either blue of brown eyes A = ( 11/12 ) of girls
And , fraction of the girls in class that have neither blue or green eyes is given by B = 1 - A
On simplifying , we get
The fraction of the girls in class that have neither blue or green eyes is given by B = 1 - 11/12
The fraction of the girls in class that have neither blue or green eyes is given by B = 1/12
Therefore , the value of B is ( 1/12 ) of the girls
Hence , the fraction is 1/12 of the girls
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1.3(8-b)+3.7b=-5.2
Solve the equation
ninety percent of a school's students or 540 students attended a school assembly.how Manny students are there at the school?
The terms in sequence A increase by 3. The terms in sequence B increase by 8. In which sequence do the terms form a steeper line when graphed as points on a coordinate plane? Justify your reasoning.
650mL = how many ounces ?
A student wants to find the density of an egg as part of an experiment. If the weight of the egg is 57 g, and its volume is 48.25 mL, which measurement could be the most precise value of the density of the egg, in g/mL?
The most precise value of the density of the egg will be 1.18 g / mL.
What is Division method?Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications. For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.
Given that;
Weight of the egg = 57 g
Volume = 48.25 mL
Now,
Since, Weight of the egg = 57 g
Volume = 48.25 mL
We know that;
⇒ Density = Mass / Volume
Substitute all the values, we get;
⇒ Density = 57 g / 48.25 mL
= 1.18 g / mL
Thus, The density of the egg = 1.18 g/mL
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Alim buys 2 t-shirts for $9.50 each, a 3-pack of socks for $7.95, and a pair of shoes for $7.95 and a pair of shoes for $49.95. The sales tax is 6%. to the nearest cent, what is the total cost of Alim's purchases? Helpp
The results of a car race are shown. Determine who drove the fastest. Explain. Cutwright: 35 laps, 84 minutes. Evans: 42 laps, 96.6 minutes. Loza: 38 laps, 102.6 minutes.
Betty's height is 2/3 of Jinlan's height. Find the ratio of Betty's height to Jinlan's height.
The skating rink rented 218 pairs of skates during the month of April and 3 times that many in May how many pairs of skates did the rink rent I during April and may
To find the total number of pairs of skates rented in April and May, multiply the number rented in April by 3 and add it to the number rented in May. The total number rented is 872 pairs.
Explanation:
To find the number of pairs of skates rented during April and May, we need to know the number of pairs rented in April and the number rented in May. We are given that 218 pairs were rented in April and that 3 times that amount were rented in May. To find the total, we can multiply the number rented in April by 3 and add it to the number rented in May.
Total number rented = (218 pairs in April) + (3 * 218 pairs in May)
Total number rented = 218 pairs + 3 * 218 pairs = 218 pairs + 654 pairs = 872 pairs
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the table shows the amount of rainfall in maryville during each week in april what was the total amount if rain in that month of april
The total amount of rainfall in Maryville for the month of April, when expressed as a mixed fraction, is 5 and 1/24 inches. Therefore the correct option is H.
Step 1: Convert mixed numbers to improper fractions
For Week 1, we have 2 2/3 inches, which is a mixed number. We convert it to an improper fraction. Since 2 is equal to 6/3, adding 2/3 gives us 8/3 inches.
Step 2: Sum up the rainfall for all weeks
Now we add the rainfall for each week:
- Week 1: 8/3 inches
- Week 2: 1/8 inches
- Week 3: 1 3/4 inches, which is the same as 7/4 inches when converted to an improper fraction.
- Week 4: 1/2 inches
Step 3: Calculate the total rainfall
The total rainfall for April is the sum of all these amounts.
Let's perform this calculation.
The total amount of rainfall in Maryville for the month of April, when summed up and expressed as an improper fraction, is \( \frac{121}{24} \) inches.
This total is reached by adding the rainfall for each week:
- Week 1's rainfall is [tex]\( \frac{8}{3} \)[/tex] inches.
- Week 2's rainfall is [tex]\( \frac{1}{8} \)[/tex] inches.
- Week 3's rainfall is [tex]\( \frac{7}{4} \)[/tex] inches.
- Week 4's rainfall is [tex]\( \frac{1}{2} \)[/tex] inches.
Adding all these fractions together gives us the total rainfall for the month.
The total amount of rainfall in Maryville for the month of April, when expressed as a mixed fraction, is 5 and [tex]\( \frac{1}{24} \)[/tex] inches.
What is 8.038 x 10 to the 8th power in standard form
8.038 x 10 to the 8th power in standard form is 803,800,000, which is obtained by moving the decimal point 8 places to the right and filling in zeros as needed.
To answer the student's question about converting 8.038 x 10 to the 8th power to standard form, we need to recognize the concept of scientific notation. When a number is written in scientific notation with a positive power of 10, like 8.038 x 108, it means the decimal point will move to the right the number of times indicated by the exponent. In this case, 8 places. So starting from 8.038, move the decimal point eight places to the right to convert it into standard form.
By doing so, we add zeros to fill in the places as we move the decimal point: 803,800,000. Therefore, 8.038 x 10 to the 8th power in standard form is 803,800,000.
Alex Rode her skateboard her velocity changed from 3m/s to 1m/s in 4 seconds. What was her acceleration?
How do you read 12.0045
A rectangular box is 8 1/2 inches long, 5 1/4 inches wide, and 4 inches high. What is its volume?
f as a function of x is equal to the square root of quantity 4 x plus 6, g as a function of x is equal to the square root of quantity 4 x minus 6
Find (f + g)(x). (5 points)
The sum (f + g)(x) of two functions f(x) = √(4x + 6) and g(x) = √(4x - 6) is determined by simply adding the two functions together, hence (f + g)(x) = √(4x + 6) + √(4x - 6).
Explanation:The functions provided are f(x) = √(4x + 6) and g(x) = √(4x - 6). The question asks for the value of (f + g)(x), which is the sum of f(x) and g(x).
To find (f + g)(x), you simply add the two functions together. Hence, (f + g)(x) = f(x) + g(x) = √(4x + 6) + √(4x - 6).
This indicates that the function (f + g)(x) is the addition of the values of f(x) and g(x) at any given value of 'x'.
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a number increased by seven
What is the third quartile of the data displayed in the box-and-whisker plot? Box-and-whisker plot ranging from 34 to 58 with ticks at increments of one half. Plot defined by points at 35, 37, 41, 49, 55.
The following diagram shows parallel lines cut be a transversal. What is the measure of Angle 2?
The angles in transverse parallel lines are related through some theorems such as vertical angles, corresponding angles, etc. the measure of [tex]\angle 2[/tex] is [tex]50^o[/tex]
Given the attached diagram
First, we solve for x using the corresponding angle theorem
[tex]5x + 55 = 2x + 100[/tex] ---- corresponding angles are equal
Collect like terms
[tex]5x - 2x = 100 - 55[/tex]
[tex]3x = 45[/tex]
Divide both sides by 3
[tex]x = 15[/tex]
We then solve for [tex]\angle 2[/tex] using the straight line theorem
[tex]\angle 2 + 5x + 55 = 180[/tex] ---- sum of angles on a straight line
Substitute 15 for x
[tex]\angle 2 + 5 \times 15 + 55 = 180[/tex]
[tex]\angle 2 + 75 + 55 = 180[/tex]
Collect like terms
[tex]\angle 2 =- 75 - 55 + 180[/tex]
[tex]\angle 2 =50[/tex]
Hence, the measure of [tex]\angle 2[/tex] is [tex]50^o[/tex]
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Two math questions
1.
Consider the following pair of equations:
y = x + 4
y = –2x – 2
Explain how you will solve the pair of equations by substitution. Show all the steps and write the solution in (x, y) form. (5 points)
2. attached
According to Dolbear’s law, you can predict the temperature T (in degrees Fahrenheit) by counting the number x of chirps made by a snowy tree cricket in 1 minute. For each rise in temperature of 0.25°F, the cricket makes an additional chirp each minute. a. A cricket chirps 40 times in 1 minute when the temperature is 50°F. Write an equation in slope-intercept form that represents the temperature in terms of the number of chirps in 1 minute.
Answer:
the temp is 65 and there was 224 chirps
Step-by-step explanation:
Rashida uses 8 cups of tomatoes and 3 cups of onions to make salsa. How many cups of onions should rashida use if she uses only 4 cups of tomatoes
the sides of a rectangle have a length of x + 6 units and a width of 7 x - 2 units what is the perimeter of the rectangle, in terms of x?
What number has the value as 50 tens
If the area of a park is exactly between 2.4 and 2.5 acres what is the area of the park?
Answer:
The area of the park is 2.45 acres
Step-by-step explanation:
In order to get a number exactly between other two numbers, you have to add them and then divide that result by two. In a mathematical expression: (a + b)/2, where a and b are those two numbers. In this case, the exactly between 2.4 and 2.5 acres is (2.4 + 2.5)/2 = 2.45 acres.