Answer:
Directly proportional relationships always pass through the origin (0,0). There are other linear relationships that do not pass through the origin.
The graph of a proportional relationship must pass through the origin (0,0). Because of the value of k, the ordered pair (0, 0) satisfies this equation.
What is a graph?
The relation between lines and points is described by a graph, which is a mathematical description of a network. A graph is made up of some points and connecting lines. It doesn't matter how long the lines are or where the points are located. A node is specified for each element in a graph.
A ray is used to describe any proportional relationship using an equation of the form y = kx. The ordered pair (0, 0) satisfies this equation regardless of the value of k, hence the ray or line must traverse the origin.
Thus, the graph of a proportional relationship must pass through the origin (0,0). Because of the value of k, the ordered pair (0, 0) satisfies this equation.
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The Stanford-Binet Intelligence Scale is an intelligence test, which, like many other IQ tests, is standardized in order to have a normal distribution with a mean of 100 and a standard deviation of 15 points.
As an early intervention effort, a school psychologist wants to estimate the average score on the Stanford-Binet Intelligence Scale for all students with a specific type of learning disorder using a simple random sample of 36 students with the disorder.
Determine the margin of error,
, of a 90% confidence interval for the mean IQ score of all students with the disorder. Assume that the standard deviation IQ score among the population of all students with the disorder is the same as the standard deviation of IQ score for the general population, =15
points.
Give your answer precise to at least two decimal places.
Answer:
4.11
Step-by-step explanation:
Margin of error equals critical value times standard error.
MoE = CV × SE
For 90% confidence and n > 30, the critical value is z = 1.645.
The standard error is SE = σ/√n = 15/√36 = 2.5.
Therefore, the margin of error is:
MoE = (1.645) (2.5)
MoE = 4.11
The margin of error of a 90% confidence interval for the mean IQ score of all students with the disorder is 4.1125 and this can be determined by using the formula of margin of error.
Given :
Standardized in order to have a normal distribution with a mean of 100 and a standard deviation of 15 points.A school psychologist wants to estimate the average score on the Stanford-Binet Intelligence Scale for all students with a specific type of learning disorder using a simple random sample of 36 students with the disorder.90% confidence interval.According to the given data, the confidence is 90% and n > 30, so the critical value is z = 1.645.
Now, to determine the standard error using the below formula:
[tex]\rm SE = \dfrac{\sigma}{\sqrt{n} }[/tex]
[tex]\rm SE = \dfrac{15}{\sqrt{36} }=\dfrac{15}{6}[/tex]
SE = 2.5
Now, the formula of margin of error is given by:
[tex]\rm MOE = z\times SE[/tex]
MOE = (1.645) [tex]\times[/tex] (2.5)
MOE = 4.1125
So, the margin of error is 4.1125.
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to bake 100 of his favorite cookies, Mr.Wallis needs 350 grams of sugar. How many grams of sugar would he need to bake 10 cookies?
answer:35 grams
explication: because if he need 350 grams of sugar to make 100 cookies , we have to divide 350 by 100 so it gives 35
The number of grams of sugar would he need to bake 10 cookies will be 35 grams.
What are ratio and proportion?A ratio is a collection of ordered integers a and b represented as a/b, with b never equaling zero. A proportionate expression is one in which two items are equal.
To bake 100 of his favorite cookies, Mr.Wallis needs 350 grams of sugar.
Let x be the amount of sugar for 10 cookies.
The number of grams of sugar would he need to bake 10 cookies will be
x / 10 = 350 / 100
x / 10 = 3.5
x = 35 grams
The number of grams of sugar would he need to bake 10 cookies will be 35 grams.
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Math question Pls help Im dumb
Answer:
I think it's J
Step-by-step explanation:
Because the ratio is 5:3:2
There are 150 raisins
And since 2 is one less than 3 my estimate would be subtracting 50 from 150 making there be 100 chocolate chips. Then if the unit is 50, 50 x 5 ( 5 in the ratio) would be 250.
I hope this helps, have a good day.
subtract rational numbers 4-10
Answer:
-6
Step-by-step explanation:
4-10
4+ (-10)
= -6
1) Two pieces of a pole arle cut into 5 inches each from an original pole that was 20 inches
long. What is the length of the remaining part of the 20 inch pole?
HELP Please
Answer:
it is 10 because 5x2= 10and20-10=10
2 divided by 4/5 whats the answer to this problem anyone?
Answer: 2.5
Step-by-step explanation:
Answer:
2 1/2
Step-by-step explanation:
Do keep change flip. Make 2 an improper fraction by making it 2/1. Change the division symbol to a multiplication symbol. Flip 4/5 to 5/4. The equation you should have is 2/1x5/4. 2x5=10 1x4=4. the fraction you should have is 10/4. 10 divided by 4 =2.5. the fraction you should have now is 2 2/4. Simplify 2 2/4 to 2 1/2.
f(x)=-3x^2-6x
Find f(−9)
Answer:
f(-9)= -189
Step-by-step explanation:
f(-9)= -3(-9)^2-6(-9)
f(-9)= -3(-9)^2 +54
f(-9)= -3(81) +54
f(-9)= -243 + 54
f(-9)= -189
[tex]f(-9)[/tex] is [tex]-189[/tex]
What is function?
In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function. Functions were originally the idealization of how a varying quantity depends on another quantity.
According to question, we have the function [tex]f(x)=-3x^2-6x[/tex]
We have to find [tex]f(-9)[/tex]
So, [tex]f(-9)=-3[/tex]×[tex](-9)^{2}[/tex][tex]-6(-9)[/tex]
[tex]=-243+54[/tex]
[tex]=-189[/tex]
Hence, we can conclude that [tex]f(-9)[/tex] is [tex]-189[/tex]
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Can any repeating decimal can be written as a fraction or a mixed number? Only a true or false is needed.
Answer:
True
Step-by-step explanation:
Solve.
-3.5 x 0.2=
1. -7.0
2. -0.7
3. 0.7
4. -3.3
Please help me I’m stuck
Answer: oh no are you stuck
Step-by-step explanation: don't worry step sis ill help you :)
a laptop computer is purchased at $1,100 after each year the resale value decreases by 30% what will the resale value be after 3 years
Answer:770
Step-by-step explanation:30% of 1100 is 330 330-1100=770
What is the least common multiple of 14 and 24?
Answer:
168
Step-by-step explanation:
Answer:
168
Step-by-step explanation:
24*7=168
14*12=168
Abagail bought 5 cartons of apple juice at lunch. Each carton held 300 milliliters of juice. How many milliliters of apple juice did she buy in all?
Answer:
1500ml
Step-by-step explanation:
300 x 5 = 1,500ml
Please mark me brainliest! Hope this helps!
God bless :)
The figure shows a pair of parallel line segments on a coordinate grid: the line segments are translated 2 units to the left to form J’K and M’N. Which statement describes J’K and M’N
Answer:
J
Step-by-step explanation:
Answer:
Line segments J'K' and M'N' do not intersect and are the same distance apart as JK and MN.
Step-by-step explanation:
If the line segments are translated 2 units to the left, then JK will start at (1, -1) and go to (5, -1), and MN will start at (1, -2) and to to (5, -2). So the line segments remain parallel and the same distance apart.
Evan bought 5 pounds of bananas for $10. How much did he pay per pound?
first pirson to type 1 i will see if i can give brainlist but idk how bot i will try
Answer:
1
Step-by-step explanation:
you asked to type 1
3/8 is equal to
A) 0.222
B) 0.375
C) 0.444
D) 0.666
Answer:
B 0.375
Step-by-step explanation:
Google told me that 3/8 of a whole is 0.375
Answer:The anwser is B 0.375
Step-by-step explanation:
3 dived by 8 is 0.375
Chan receives a bonus from his job. He pays 30% taxes, pays 30% charity and 25% debt. Has $600 remaining from his bonus. What was the total amount of chains bonus?
Answer:
b = $4000
Step-by-step explanation:
Let b represent the bonus amount.
Then the bonus, b, less the three deductions, is represented by
b - 0.30b - 0.30b - 025b, and this comes to $600. Find the value of b.
b - 0.85b = $600, or
0.15b = $600
Then b = $4000
passes through :(3, -1) Slope: -1/2
write in slope intercept form of a line
6. Solve X^2 - 3x - 10=0 by factoring,
F-5, -2)
G(-2,5)
H{-2,-5)
J{5,-2)
x₁ = 5
x₂ = - 2
Step-by-step explanation:Hi there !
x² - 3x - 10 = 0
x² + 2x - 5x - 10 = 0
x(x + 2) - 5(x + 2) = 0
(x - 5)(x + 2) = 0
x - 5 = 0 => x₁ = 5
x + 2 = 0 => x₂ = - 2
Good luck !
A teacher is decorating her bulletin board. She needs boarder for the board. If the bulletin board has a length of 15 long and a width of 6 feet long
How much boarder does she need for the entire bulletin board?
Answer:
42
Step-by-step explanation:
When doing perimeter, you add all sides. 15+15+6+6=42
Answer:
1+1=2 2+2=4 4+4=8
Step-by-step explanation:
1+1=2 2+2=4 4+4=8
Mark walked 12 1/2 miles in 5 hours. How many miles did Mark walk in 1 hour?
the answe is it is 2.5 or 2 1/2 as he said but in conclusion answe 2 1/2 or 2 and 1 half
Distance can be defined as how far a person or an object can go or cover.
The number of miles Mark walked in 1 hour is [tex]2\frac{1}{2}[/tex] miles
From the question,
In 5 hours, Mark walked a distance of 12 1/2 miles.
Hence,
5 hours = [tex]12\frac{1}{2}[/tex] miles
1 hour = ?
Cross Multiply
1 hour x [tex]12\frac{1}{2}[/tex] miles / 5 hours
= [tex]2\frac{1}{2}[/tex] miles
The number of miles Mark walked in 1 hour is [tex]2\frac{1}{2}[/tex] miles
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Help! Whoever answers correctly and is first to answer I will make brainly! In dire need of help!
Answer:
B
Step-by-step explanation:
Isoceles triangle
Answer:
B. 65 degrees
C - x = r - d , for x
Answer:
x = C+d-r
Step-by-step explanation:
C - x = r - d
-x = r - d - C
x = -(r - d - C)
x = -r+d+C
x = C+d-r
what is the answer to this question?
Answer:
1st box
3rd box
5th Box
Step-by-step explanation:
For the first equation, you have to move the decimal place 11 places to the right.
For the second equation, you have to move the decimal 13 places to the right.
-tell me if I'm wrong
help quick!! please i have 10 minutes!!
Sorry it's been longer than 10 min I hope this is accurate.
What is 5+5 well it is...
Answer:
...It is 10
Step-by-step explanation:
Tyler has 2 dogs and 7 fish. What is Tyler's ratio of fish to dogs?
Answer:
2:7
Step-by-step explanation:
Answer:
2:7
Easy.
Come on bro this is like one of the easiest questions in the world
Which expression is equivalent to fourteen more than the product of three and nine
Answer:
Step-by-step explanation:
The product of 3 and 9 just means to multiply 3 and 9. This is written as:
3 x 9
14 more than this just means to add 14 to the above.
3 x 9 + 14
Consider the relationship between the words pine and tree.
Which answer choice contains a pair of words with the same relationship?
book: title
hook: instrument
badger: animal
head: scarf
Answer:
A Book:Title
Step-by-step explanation:
Answer:
Badger: animal
Step-by-step explanation:
i took the test and its right