To hypothesize that autism is a quantitative trait normally distributed in the population.
Hypothesis that autism is a quantitative trait normally distributed in the population is actually showing the assumption that we can calculate the level of autism in the population in numbers as well as it is present in everyone at some level just like weight.
There are two types of data:
• Quantitative: Any information that can be counted is referred to as quantitative data and is given a numerical value. You can find out “how many,” “how much,” or “how often” using quantitative variables.
• Qualitative: Qualitative information is descriptive in character and communicated verbally as opposed to numerically.
Hence, here they are assuming that we can measure the level of autism in the population.
To learn more about normal distribution click here https://brainly.com/question/23418254
#SPJ4
A 2-column table with 6 rows. The first column is labeled x with entries negative 2, negative 1, 0, 1, 2, 3. The second column is labeled f of x with entries negative 8, negative 3, negative 3, 4, 1, 3. What ordered pair is closest to a local minimum of the function, f(x)?.
The ordered pair which is closest to a local minimum of the function f(x) is (2,0)
Given that,
A 6-row, 2-column table. The items in the first column, x, are negative 2, negative 1, 0, 1, and 3. The second column, f of x, contains the values -8, -3, -4, 1, 3 in the entries.
The system shows a table with values of x and its correspondent in a function f(x):
x f(x)
2 -8
-1 -3
0 -3
1 4
2 1
3 3
f(x) is a local minimum of the function at x =2 and y=0 and the value of the function f(x) is -8. So, the ordered pair that lies closest to the function f(x)'s minimum is (2,0)
Learn more about local minimum:
brainly.com/question/17075444
#SPJ4
A school wants to sell 900 sweatshirts for a fundraiser. All sweatshirts have the same price, and they want to make a total of $34,254.00 in sales.
Answer:
38.06 but if rounded up 38
Step-by-step explanation:
34,254 divided by 900 equals 38.06
Determine, to the nearest tenth, the perimeter of the triangle shown in the accompanying diagram.
This is a diagram of triangle ABC. Point A is located at (-9,6). Point B is located at (-3,10). Point C is located at (-2,2).
Answer:
23.3
Step-by-step explanation:
A cyclist rode at an average speed of 15 mph for 30 miles. how long was the ride? responses 0.5 hours 0.5 hours 1 hour 1 hour 2 hours 2 hours 3 hours
A cyclist rode at an average speed of 15 mph for 30 miles.
It will take 2 hours to cover 30 miles so option (C) is correct.
What are the ratio and proportion?
The ratio is the division of the two numbers.
For example, a/b, where a will be the numerator and b will be the denominator.
Proportion is the relation of a variable with another. It could be direct or inverse.
Given that,
A cyclist rode at an average speed of 15 mph for 30 miles.
So,
15 miles ⇒ hour
Multiply by 2
2 hours ⇒ 30 miles.
Hence "It will take 2 hours to cover 30 miles".
To learn more about average speed click here https://brainly.com/question/6504879
#SPJ4
At a store, the Jenson family puts 12.4 gallons of gas in their van at a cost of $3.80 per gallon.
Find the mean, range, and median of the values: 12, 4, −2, 0, 9, −2, 1, 7, 8, 2
Answer: Mean:3.9 Range:14 Median:3
Step-by-step explanation:
An unstretched hanging-spring is 50 cm long. Suspending a 100-N block from it increases its length to 60 cm. Adding another 100-N block makes the spring's new length
70 cm
The new length of the unstretched hanging-spring is 70 cm.
Define the term Hooke's law?Hooke's law states that the spring's length change as a result of a compressive or tensile load is directly proportionate to the size of the force placed on the spring. Mathematically,
F = kx
Where;
K is the spring constant, while x represents the spring's length change.
As per the question-
L is the spring's uncompressed length: L = 0.5 m
Weight F1 linked to the spring: F1 = 100 N
First weight's effect on elongation x1: 60 - 50 = 10 = .01 m.
As per the Hooke's law;
F1 = Kx1
K = F1/X1
K = 100 / 0.1
K = 1000 N/m
Spring constant = 1000 N/m.
For the added 100-N block.
F = Kx2
x2 = F/K
x2 = 100 + 100 / 1000
x2 = 0.2m
x2 = 20 cm
L = 50 + 20 = 70 cm.
Thus, new length of the unstretched hanging-spring is 70 cm.
To know more about the Hooke's law, here
https://brainly.com/question/12253978
#SPJ4
Find '?' in the following series:
1, 4, 10, ?, 46, 94
answers: (a) 20 (b) 16 (c) 15 (d) 22 (e) 94
please put the correct one if you are going to answer
Answer:
(d) 22
Step-by-step explanation:
1 to 4 difference is 3
4 to 10 difference is 6
10 to 22 difference is 12
22 to 46 difference is 24
46 to 94 difference is 48
so, you can see that the difference multiplies by 2 (3x2 = 6, 6x2 = 12, etc.)
thus the answer is d. 22
A ride-sharing company charges a pick-up fee of $3.50 plus a charge of $4.00 per mile. Write an equation that represents the situation.
In a case whereby ride-sharing company charges a pick-up fee of $3.50 plus a charge of $4.00 per mile the equation that represents the situation is y = $4.00 x + $3.50 .
What is an equation?An equation can be described as the mathematical statement which is made up of two expressions connected by an equal sign. The concept that will be used is the concept of equation
From the question, pick-up fee of $3.50 was given
charge of $4.00 per mile was made
Then the equation that models this can be written as y = $4.00 x + $3.50 .
Learn more about equation here: https://brainly.com/question/2972832
#SPJ1
There is a bag filled with 5 blue, 4 red and 3 green marbles. A marble is taken at random from the bag, the colour is noted and then it is replaced. Another marble is taken at random. What is the probability of getting 2 the same colour?
The probability of getting 2 the same color is 9/11.
What is probability?
According to the probability formula, the probability of an event occurring, or P(E), is equal to the proportion of positive outcomes to all outcomes. P(E) is defined mathematically as favorable outcomes divided by total outcomes. Mathematical branch known as probability deals with determining the possibility of an event occurring. Here using probability we can also calculate combination .
Here the total number of marbles are,
=>Total marbles = Blue + Red + Green
=>Total marbles = 5 + 4 + 3
=>Total marbles = 12
Then, Probability of a green = 3/12
=> Probability of not green = 1 - 3/12 = 9/12=3/4
To get exactly one green in two draws, we either get a green, not green, or a not green, green
=>First Draw Green, Second Draw Not Green
=> 1st draw: Probability of a green = 3/12
In 2nd draw: Probability of not green = 9/11 <-- 11 since we did not replace the first marble
To get the probability of the event, since each draw is independent, we multiply both probabilities
=> Probability of the event is (5/12) * (9/11) = 45/132
First Draw Not Green, Second Draw Not Green
=>1st draw: Probability of not a green = 9/12
=>2nd draw: Probability of not green = 7/11 <-- 11 since we did not replace the first marble
To get the probability of the event, since each draw is independent, we multiply both probabilities
=>Probability of the event is (9/12) * (7/11) = 63/132
To get the probability of exactly one green, we add both of the events:
First Draw Green, Second Draw Not Green + First Draw Not Green, Second Draw Not Green
=> 45/132 + 63/132 = 108/132=9/11.
Hence the probability of getting 2 the same color is 9/11.
To learn more about probability refer the below link
https://brainly.com/question/13604758
#SPJ1
A bicycle wheel has a diameter of 62 cm. The wheel makes 80 full turns. How far does the bicycle travel? Provide your answer in meters
besoin d aide pour math
a coffee machine dispenses coffee into 16-ounce cups. tests show that the actual amount of coffee dispensed is normally distributed, with a mean of 15.2 ounces and a standard deviation of 0.9 ounces. what percent of cups will receive greater than 15.2 ounces of coffee?
The coffee machine dispenses 50% of the cups with more than 15.2 ounces of coffee
Here it is given that amount of coffee dispensed follows a Normal distribution with mean = 1.2 ounces and a Standard deviation of 0.9 ounces.
In a normal distribution, the mean is also the median and the mode. Since the mean is the median, it divides the distribution into 2 equal halves, hence, 50% of the frequency lies on the right of the mean and 50% on the left.
Here we are required to find the percent of cups greater than 15.2 ounces, which is the median.
Therefore, 50% of cups receive coffee of more than 15.2 ounces.
To know more about Normal Distribution visit
https://brainly.com/question/12421652
#SPJ4
5 killogram of coffe are going to be hared with among 4 people about how many killogram of coffee doe each peron get
9 ÷ 2 = ?
show solution, ty!
Answer:
4.5
Step-by-step explanation:
4.5 + 4.5 = 9
OR
4.5 x 2 = 9
How many whole groups of 25 out of 90
GIVE AN EXPLANATION PLEASE
Answer: 3
Step-by-step explanation:
25+25+25=75 90-75= 15
So 25 can only go into 90 3 times evenly.
Answer:
Step-by-step explanation:
Simple, 90 / 25 = 3.6 · 90 ÷ 25 = 3.6 · 90 over 25 = 3.6 · ⁄25 = 3.6
If you want this to be like you did not look it up and actually put work towards it then put this:
ninety divided by twenty five equals 3.6, then i checked myself by multiplying 3.6 towards 90 and it had given me 25. The amount of groups that can go in would be 3.
_________________________________
Note: in order for me to give anymore answers i will need further explanation of the question. You could send me a picture of the problem, but if not them your very welcome!
The mean difference of the successive squares of the first six prime numbers is
A 24
D 33.6
B 24.2
C 33
The answer is;
62.83
What is an expression?
Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Now,
The first 6 prime numbers are 2, 3, 5, 7, 11 ,13
The square of 6 prime number
4, 9 ,25, 49 , 121 , 169
The mean difference of these number is
⇒ (4 + 9 + 25 + 49 + 121 + 169) / 6
⇒ 62.83
Learn more about the mathematical expression visit:
brainly.com/question/1859113
#SPJ1
the product of negative five and a number is greater than twice the sum of the same and three?
Answer:
-5 X x > 2(-5 X x) +3
-5x >2(-5x + 3)
-5x > -10x + 6
-5x + 10x > 6
5x > 6
x > 6/5
Identify the quadratic function that contains the points (-1,1), (0,-2) and (2,4). F(x) = 2x2 - x - 1 f(x) = 2x2 + x + 1 f(x) = 2x2 - x - 2 f(x) = 2x2 - x + 2.
The quadratic function that contains the points (-1,1), (0,-2) and (2,4) is f(x) =
2x²-x-2.
To find the quadratic equation we need to put the points in the equation to satisfy it,
The only equation doing it is f(x) = 2x²-x-2 as,
f(x) = 2x²-x-2
For (-1, 1)
1 = 2×(-1)² + 1 -2
1 = 1
Hence (-1,1) satisfies f(x) = 2x²-x-2
For (0, -2)
-2 = 2×(0)² - 0 -2
-2 = -2
Hence (0, -2) satisfies f(x) = 2x²-x-2
For (2, 4)
4 = 2×(2)² -2 -2
4 = 4
Hence (2,4) satisfies f(x) = 2x²-x-2
To learn more about quadratic function and co-ordinates points,
https://brainly.com/question/21950350
#SPJ4
Brainliest if u r right
Solve for x and y in the following diagram
Answer:
x = 2 ; y = 152
Step-by-step explanation:
15x - 2 = 9x + 10
15x - 9x = 10 + 2
6x = 12
6/6 x = 12/6
x = 2 degrees
9 * 2 + 10 + y + 180
18 + 10 + y = 180
28 + y = 180
y = 180 - 28
y = 152 degrees
In baseball, the lengths of the paths between consecutive bases are 90 feet, and the paths form right angles. The player on first base tries to steal second base. How far does the ball need to travel from home plate to second base to get the player out? round your answer to the nearest tenth.
Answer:
AC = 127,26 f distance from home plate to second base
Step-by-step explanation:
Let call A , B , C Home plate, first base and second base respectively
These three point form a right triangle with legs ( AB = BC = 90 feet)
we have an isosceles triangle with a right angle and two angles of 45⁰
So we need to compute distance AC (hypotenuse)
AC² = AB² + BC² ⇒ AC² = 2AB² ⇒ AC = AB √2
AC = 90 * 1,414
AC = 127,26 f
In order to recive a B in your english class, you must earn more than 350 points of reading credits. Last week you earned 120 points. How many more points must you earn to recive a B
In order to get a B in my class, I will need at least 230 points
Ratio and ProportionsA ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0. A proportion is an equation in which two ratios are set equal to each other. For example, if there is 1 boy and 3 girls you could write the ratio as: 1 : 3 (for every one boy there are 3 girls) 1 / 4 are boys and 3 / 4 are girls.
But there's a direct way of doing that which is simply subtracting what we have from the total to get what is left.
Total points required to pass > 350Points gotten = 120 Points needed = ?The points needed = Total points required - points gotten.
Points needed = 350 - 120
Points needed = 230
I will need 230 points
Learn more on ratio here;
https://brainly.com/question/2328454
#spj1
A new hybrid car costs £26000.
Each year the value of the car depreciates by 15%.
How many years will it take before the car is worth half of its original value?
help pls
The years it will take for the hybrid car to depreciates to half of it original value is 4.26 years.
What is depreciation?Depreciation is what happens when assets lose value over time until the value of the asset becomes zero, or negligible.
To calculate the amount of years it will take the car to worth half its original value, we use the formula below.
Formula:
A' = A(1-R/100)ⁿ............ Equation 1Where:
A' = Half the original value of the carA = Original value of the carn = Amount of yearsR = Depreciation Rate.From the question,
Given:
A = £26000R = 15%A' = £26000/2 = £13000Substitute these values into equation 1 and solve for n
13000 = 26000(1-0.15)ⁿ(1-0.15)ⁿ = 13000/260000.85ⁿ = 0.5Taking the logarithm of both side,
Log(0.85ⁿ) = Log(0.5)nLog(0.85) = Log(0.5)n = Log(0.5)/Log(0.85)n = 4.26 years.Hence, the years it will take is 4.26 years.
Learn more about depreciation here: https://brainly.com/question/1203926
#SPJ1
Select the correct answer.
Which statement is true about the slope of the graphed line?
A. The slope is negative.
B. The slope is positive.
C. The slope is zero.
D. The slope is undefined.
Answer:
B. The slope is positive
Step-by-step explanation:
Gradient of the slope is positive
The slope is upwards
Caroline leaves her house and walks north 6 blocks. She turns and heads east 8 blocks until she reaches mattie’s house. What is the shortest distance between caroline’s and mattie’s houses?.
The shortest distance between Caroline's and Mattie's houses is 10 blocks .
In the question ,
it is given that,
Caroline leaves her house and walks 6 blocks ,
let the point where she starts be A , and the point where she ends be B .
So the distance AB = 6 blocks .
then she turns east and heads to 8 blocks to reach Mattie's house ,
let the point where she stops be C ,
So, the distance BC = 8 blocks ,
the shortest distance(AC) between Caroline and Mattie house can be calculated using the Pythagoras Theorem
AB + BC = AC
6 + 8 = AC
AC = 64 + 36
AC = 100
AC = 10
Therefore , The shortest distance between Caroline's and Mattie's houses is 10 blocks .
Learn more about Pythagoras Theorem here
https://brainly.com/question/2846911
#SPJ4
2. Write a quadratic equation with 3 and 6 as its roots. Write the equation in the
form ax2+bx+c = 0, where a, b, and c are integers.
Answer:
x^2 - 9x + 18 = 0
Step-by-step explanation:
(x-3)(x-6) = 0
x^2 -6x - 3x + 18 = 0
x^2 - 9x + 18 = 0
Answer:
x² - 9x + 18 = 0
Step-by-step explanation:
given a quadratic with roots x = a and x = b then the factors are
(x - a) and (x - b) and the equation is the product of the factors
here roots are x = 3 and x = 6 then the factors are (x - 3) and (x - 6), then
(x - 3)(x - 6) = 0 ← expand factors using FOIL
x² - 9x + 18 = 0
Here's a problem! (will give Brainliest)
A recipe calls for 1 1/2 teaspoons of cinnamon to make 2 dozen
oatmeal cookies. How many teaspoons of cinnamon are needed to
make 60 oatmeal cookies?
Answer:3 3/4th teaspoons are needed for 5 dozen(60 cookies)
Step-by-step explanation:
Answer:
[tex]3\frac{3}{4} teaspoons[/tex]
Step-by-step explanation:
2 dozens is 24 oatmeal cookies
We divide 1 1/2 by 24 to find how much for each cookie
1 1/2/24
3/2*1/24=3/48=1/16
Now we multiply 1/16 by60
1/16*60/1
60/16
3 12/16
3 3/4 teaspoons
Hopes this helps please mark brainliest
Please help! A, B, C, D
Screenshot inserted below :)
A graph that matches this linear equation is: graph D.
How to interpret the linear equation?Mathematically, the slope-intercept form of a line can be calculated by using this equation:
y = mx + c
Where:
m represents the slope.x and y are the points.c represents the y-intercept.In Mathematics, the y-intercept of any graph such as a linear equation occurs at the point where the value of "x" is equal to zero (0). Next, we would describe the parameters contained in the given linear equation:
y = mx + c ≡ y = -8x
Slope, m is equal to -8.
y-intercept, c is equal to 0.
In this context, we can reasonably and logically deduce that the graph of this linear equation would pass through the origin (0) and slopes downward towards the negative values on the y-coordinate.
Read more on slope here: brainly.com/question/5144018
#SPJ1
What is 125% of 64
Explanation please
Answer: 80
Step-by-step explanation:
Answer: 125% of 64 would be 80
Step-by-step explanation: First we convert the percent to a decimal. 125%/100 = 1.25. Then we multiply 1.25 by 64 and we would get 80.
Hoped This Helped! Also The Answer Would Obviously Be Above 64 Because Its 125%.
Giuliano is buying a new action figure. When he looks on Amazon he gets
overwhelmed and wants to buy three. He wants to buy Eddie Guerrero for $37.49.
He wants to buy Roman Reigns for $27.88. He wants to buy Kevin Owens for $23.73.
If he buys all three using $100, how much money will he have left?
Giuliano is buying a new action figure. When he looks on Amazon he gets overwhelmed and wants to buy three. The money left with Giuliano is $10.9
How to Calculate Total Cost ?
1)Sum up all fixed costs. First of all, you need to determine the fixed costs of your company.
2)Find all variable costs. The next step is to figure out the variable costs.
3)Add all fixed and variable costs to define the total cost.
4)Check the income statement to find your business's costs.
Given:
Cost of Eddie Guerrero = $37.49
Cost of Roman Reigns = $27.88
Cost of Kevin Owens = $23.73
Total amount Giuliano has = $100
Now, According to question :
Sum of all three amazon products
= (Cost of Eddie Guerrero)+(Cost of Roman Reigns)+(Cost of Kevin Owens)
= $37.49 + $27.88 + $23.73=$89.10
Thus,
amount of money left
= ($100-$89.10)
=$10.9
Learn more about summation by:
https://brainly.com/question/23471674
#SPJ13
