Answer:
The 95% confidence interval for the proportion of participants who have SLD among the children with ASD is (0.1437, 0.1813).
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].
Out of a sample of 1,483 participants, a total of 241 were found to have SLD.
This means that [tex]n = 1483, \pi = \frac{241}{1483} = 0.1625[/tex]
95% confidence level
So [tex]\alpha = 0.05[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].
The lower limit of this interval is:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.1625 - 1.96\sqrt{\frac{0.1625*0.8375}{1483}} = 0.1437[/tex]
The upper limit of this interval is:
[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.1625 + 1.96\sqrt{\frac{0.1625*0.8375}{1483}} = 0.1813[/tex]
The 95% confidence interval for the proportion of participants who have SLD among the children with ASD is (0.1437, 0.1813).
Determine whether AB is tangent to the circle with center c
9514 1404 393
Answer:
yes, no, no
Step-by-step explanation:
The triangle will be a right triangle if the sum of the squares of the two short sides, less the square of the long side, is zero. (This is what the Pythagorean theorem tells you.) The angle where the radius meets the circle must be a right angle if the line is to be a tangent.
__
a) 3^2 +4^2 -5^2 = 9 + 16 -25 = 0 . . . . AB is a tangent
__
b) 9^2 +15^2 -18^2 = 81 +225 -324 = -18 . . . . AB is not a tangent
__
c) 10^2 +48^2 -52^2 = 100 +2304 -2704 = -300 . . . . AB is not a tangent
If adult grey whales weigh an average of 50 - 55 tons, about how many pounds does an adult grey whale weigh? (A ton equals 2000 pounds.)
Answer:
100000
Step-by-step explanation:
First multiplt the given njmber with 2000 and subrat total number givem
Answer: c
Step-by-step explanation:
HELP
Which Trig ratio should be used to find the missing side?
A.Sin
B.Cos
C.Tan
Answer:
It's Tan.
Multiple Thumbs-up ^_^
someone help
NO LINK IM SO FR NO LINKS
Answer:
I think iit's no consistent
Step-by-step explanation:
no consistent because there is no multiplying happening and no consistent adding happening
How to find y intercept without a graph HELP
Answer:
You need to use the graph's equation and find the answer of y when x is 0 as this will give y when it is on the y axis.
To do this, substitute in 0 were x is in the equation and you will find the y intercept
Simplify: [3(2a)3/2] 2
Answer:
2=18a
Step-by-step explanation:
We want the following inequality to be true: IMAGE BELOW!
Answer:
B. X=7
Step-by-step explanation:
Because 9 greater than 7
Can anyone help? I’ll give Brainly! Thank you :)
==============================================================
Explanation:
f(x) is equal to both x^2-2x+3 and also -6x at the same time. Set those two expressions equal to one another and solve for x.
x^2-2x+3 = -6x
x^2-2x+3+6x = 0
x^2+4x+3 = 0
(x+3)(x+1) = 0 .... see note below
x+3 = 0 or x+1 = 0
x = -3 or x = -1
Note: 3 and 1 multiply to 3, and also add to 4.
---------------------
Once we get the x values, we plug them into either equation to find the y value.
So if x = -3, then
f(x) = x^2-2x+3
f(-3) = (-3)^2-2(-3)+3
f(-3) = 9 + 6 + 3
f(-3) = 18
or we could say
f(x) = -6x
f(-3) = -6(-3)
f(-3) = 18
Both versions produce the same output when x = -3.
The second version is easier to work with.
Since x = -3 leads to y = 18, we know that (-3, 18) is one of the solutions. That explains where your teacher got (-3, 18) from.
-----------
We'll use this idea for x = -1 now
f(x) = x^2-2x+3
f(-1) = (-1)^2-2(-1)+3
f(-1) = 1 + 2 + 3
f(-1) = 6
or we could say
f(x) = -6x
f(-1) = -6(-1)
f(-1) = 6
Like before, both versions of f(x) produce the same output when the input is x = -1.
The other solution is (-1, 6)
how many kilometers rode her bike in x minutes?
its g, yww .
5 = 0.5
10 = 1.0
15 = 1.5
20 = 2.0
25 = 2.5
What do I put in 1,2,3,4,5,6 I need help plz timed test
Answer:
The value of x = 6.5 units
Step-by-step explanation:
Given triangle is a right angle triangle;
Length of base = 2.5 unit
Length of perpendicular = 6 unit
Find:
The value of x
Computation:
Using Pythagoras theorem;
Hypotenuse² = Base² + Perpendicular²
Hypotenuse² = 2.5² + 6²
Hypotenuse² = 6.25 + 36
Hypotenuse² = 42.25
Hypotenuse = √42.25
Hypotenuse = 6.5 unit
The value of x = 6.5 units
Both sides of an equation can be multiplied by the same number without changing the solution of the equation.
Answer:
Just as you can add or subtract the same exact quantity on both sides of an equation, you can also multiply both sides of an equation by the same quantity to write an equivalent equation. Let's look at a numeric equation, to start.
Step-by-step explanation:
If 3x + 10 = 10 + 2x, what is the value of x?
A) x = 4
B) x = -4
C) x = -1
D) x = 0
Answer:
x=0
Step-by-step explanation:
3x + 10 = 10 + 2x
Subtract 2x from each side
3x-2x + 10 = 10 + 2x-2x
x+10 = 10
Subtract 10 from each side
x+10-10 = 10-10
x=0
Answer:
x=0
Step-by-step explanation:
3x + 10 = 10 + 2x
Subtract 2x from each side
3x-2x + 10 = 10 + 2x-2x
x+10 = 10
Subtract 10 from each side
x+10-10 = 10-10
x=0
Jake has proved that a function, f(x), is a geometric sequence. How did he prove that?
Answer:
He showed that f(n) ÷ f(n - 1) was a constant ratio.
Given that Jake has proved that a function f(x) is a geometric sequence.
GEOMETRIC SEQUENCE: A geometric sequence is a sequence of numbers where each term is found by multiplying the preceding term by a constant called the common ratio, r.
So, in Jame's proof, he showed that each term is multiplied by a constant to get the next term.
That is, if 'c' is the constant that was used in the proof, then we must have
This implies that
Therefore, he showed that f(n) ÷ f(n - 1) was a constant ratio.
Solve the compound inequality.
7x>-35 and -5x ≥ -50
A. -5< x≤10
B. -5≤x≤10
C. 5≤x≤10
D. 5>x≤10
need help
Answer:
A. -5< x≤10
Step-by-step explanation:
7x>-35 and -5x ≥ -50
7x>-35
x>-5
-5x ≥ -50
x≤ 10
so, the result is:
-5< x ≤10
ASAP PLEASE HELP FAST if you can do any of them please do
Answer:
Number 7: D. 378 ft
And I'm Not Sure About The Others
Step-by-step explanation:
Answer:
question 8 : 157 m²
Step-by-step explanation:
cone volume:. π×r²×h/3
3,14×25×6/3 = 157 m²
A red pebble is equal to 3 yellow pebbles a blue pebble is equal to a red and 2 yellow pebbles a green is equal to 3 red pebbles. What is the value in pebbles of a green pebble and a blue pebble divided by 2 red pebbles and a yellow pebble
Answer: 2
Step-by-step explanation:
Given
Red pebble is equal to 3 yellow pebble
A blue marble is equal to a red pebble and 2 yellow pebble
A green pebble is equal to 3 red pebble
Suppose [tex]R,B,Y,G[/tex] represents red, blue, yellow, and green pebbles
[tex]\therefore R=3Y\\B=R+2Y\\G=3R[/tex]
Express Red in terms of yellow in blue pebble equation
[tex]B=3Y+2Y\\B=5Y[/tex]
Now, express Green Pebble in terms of yellow pebble
[tex]G=3R=3(3Y)\\G=9Y[/tex]
Value of
[tex]\Rightarrow \dfrac{G+B}{2R+Y}\\\\\Rightarrow \dfrac{9Y+5Y}{2\times 3Y+Y}\\\\\Rightarrow \dfrac{14Y}{7Y}=2[/tex]
Mandy works part-time to earn money for a trip. The amount she saves after working x hours is given by the equation y=7.5x+40. How much does Mandy earn per hour?
[tex]y = 7.5x + 40 \\ y = 7.5(1) + 40 \\ y = 7.5 + 40 \\ y = 47.5[/tex]
[tex]mandy \: earns \: 47.5 \: per \: hour[/tex]
12 divided by 1 1/5 plz hurry asap
Answer:
10
Step-by-step explanation:
Answer:
10 :)
Step-by-step explanation:
12 divided by 1 1/5 is the same as:
It is always easier to convert the fraction into a decimal:
like we converted 1/5 into .20.
[tex]\frac{12}{1.2}[/tex]=10
A question you can ask yourself is:
How many times can you multiply 1.2 to get 12?
1.2*10=12.
Hope it helps! :))
Which of the following expressions has the greatests value?
Question 6
In triangle ABC, what is the measure of angle C if A = 85°, a = 35, and c = 15?
Round the answer to the nearest hundredth.
Answer
36.45?
Step-by-step explanation:
I think you just divide 85 by 35 and multiply 15 with that answer. 85/35 = 2.43
15x2.43 = 36.45
HELLO CAN SOMEONE HELP ME! MATH :) NO FAKE ANSWERS PLS :D
Answer:
60 cm²Step-by-step explanation:
The area is:
A = 12*6 - 3*4 = 60 cm²Answer:
[tex]60cm {}^{2} [/tex]
A number cube was rolled as part of an experiment. The results are displayed in the table below. Number 1 2 3 4 5 6 Frequency 4 6 5 7 3 5 What is the best explanation of how to find the experimental probability of rolling a 3? To find the experimental probability of rolling a three, write a ratio of the number of times three occurs to the total number of trials. Simplify if necessary. To find the experimental probability of rolling a three, write a ratio of the total number of trials to the frequency of the number three. Simplify if necessary. To find the experimental probability of rolling a three, write a ratio of the number three to the total number of trials. Simplify if necessary. To find the experimental probability of rolling a three, write a ratio of the total number of trials to the number three. Simplify if necessary.
Number Frequency Probability
1 4 0.13
2 6 0.20
3 5 0.17
4 7 0.23
5 3 0.10
6 5 0.17
total 30 1.00
To find the experimental probability of rolling a three, write a ratio of the number of times three occurs to the total number of trials. Simplify if necessary.
5/30 = 1/6 or 0.166 or 16.6% or 17%.
Paula is draining her fish tank.
When she starts draining it, the height of the water is 33 cm.
Six minutes later, the height of the water is 15 cm.
Question: If the water continues to drain
at this rate until it is empty, how many
total minutes will it take Paula to drain
her fish tank?
Answer:
If the water continues to drain at this rate, it would take 11 total minutes for Paula to drain her fish tank.
Step-by-step explanation:
In 6 minutes, she is able to drain 18 cms of her fish tank, so in 1 minute, she would be able to drain 3 cms of her fish tank. 15 divided by 3 is 5, so it would take 5 minutes to drain the rest of her fish tank. But it is asking for the total amount so 5 plus 6 is 11 total minutes.
Find the whole number equal to the fraction below. Enter your answer in the space provided. 21 /3
Answer:
the answer is 7
Step-by-step explanation:
divide the numerator (21) by the denominator (3) and you will get 7 as the answer hope this helped
I REALLY NEED HELP , “ a company is designing a new cylindrical water bottle. the volume of the bottle will be 207 cm *to the 3rd power* the height of the water bottle is 8.4 cm. what is the radius of the water bottle?”
Answer:
Radius, r = 2.80 cm
Step-by-step explanation:
Given the following data;
Volume of cylinder = 207 cm³
Height = 8.4 cm
Pie, π = 3.14
To find the radius of the water bottle;
Mathematically, the volume of a cylinder is given by the formula;
V = πr²h
Where;
V is the volume of a cylinder.
r represents the radius of the cylinder.
h represents the height of the cylinder.
Substituting into the formula, we have;
207 = 3.14 * r² * 8.4
207 = 26.376r²
r² = 207/26.376
r² = 7.85
r = √7.85
Radius, r = 2.80 cm
Samir bought 3 pounds of cement to repair the cracks in his sidewalk.
Each crack needs to be filled with 2 ounces of cement.
Answer:
The answer is 24 cracks will be filled
Step-by-step explanation:
hope it helps :3
16 ounces in a pound. convert pounds to ounces
calculate the amount of cement we have. That would be 3 x 16 = 48 ounces of cement.
The amount of cracks to be filled : 48 /2 = 24 cracks
Write the absolute value equation that is represented by the graph
Answer:
y = |x + 2| - 5
Step-by-step explanation:
i will give Brainiest if you are right
Answer:
i think the answer is C
Mr. Claussen needs a total of 15 pounds of ground beef to make hamburgers for a company picnic. He finds that 2 pounds of ground beef cost $4.40.At this rate, how
much should Mr. Claussen plan on spending for the 15 pounds of ground
beef?
A $66.00
B. $33.00
C. $19.40
D. $2.20
Answer: your answer should be 33.00/B
Step-by-step explanation:
Because u need to divide 15 by 2 = 7.5
Then Times that my 4.40
U get 33 dollar
Plsss answer this quick question!!
Answer:
D
Step-by-step explanation:
i would say D because in the hall she would still be able to see the people where as if they are on a piece of paper in a box she cant see who will be drawn.
Answer:
B.
Step-by-step explanation:
A. Incorrect because it’s unreasonable.
C. Incorrect because why would a teacher pull 2 students from a completely different class to read?
D. Incorrect because does a teacher do that just to ask 2 students to do something simple?
B. The most reasonable answer that most teachers will do.