Studies have suggusted that twins, in their early years, tend to have lower IQs and pick up language more slowly than non-twins. The slower intellectual growth may be caused by benign parental neglect. Suppose it is desired to estimate the mean attention time given
to twins per week by their parents. A sample of 26 sets of two-year-old twin boys was taken, and after one week the attention time
received was recorded. The mean was found to be 27.4 hours with a standard deviation of 11,2 hours. Use this information to contruc
a 98% confidence interval for the mean attention time given to all twin boys by their parents, assuming that the population is
approximately normally distributed, Round the endpoints to one decimal place.
Confidence interval:( , )
Answer:
Confidence interval: (21.9, 32.9).
Step-by-step explanation:
We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 26 - 1 = 25
98% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 25 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.98}{2} = 0.99[/tex]. So we have T = 2.485
The margin of error is:
[tex]M = T\frac{s}{\sqrt{n}} = 2.485\frac{11.2}{\sqrt{26}} = 5.5[/tex]
In which s is the standard deviation of the sample and n is the size of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 27.4 - 5.5 = 21.9 hours
The upper end of the interval is the sample mean added to M. So it is 27.4 + 5.5 = 32.9 hours
Confidence interval: (21.9, 32.9).
The original price of a book is $25. The book is on sale for 30% off.
What percent of the price are we paying? What is the price you will pay
for the book?
Answer:
You will pay 70% of the original price. You will pay $17.50
Step-by-step explanation:
100% is full price because 100%=1 (one whole).
100% - 30% = 70%
70% = 0.7
0.7 multiplied by $25 is $17.50
Laurie is working on a carpentry project. She has n feet of wood. While working, she realized that she needs 1/4
more wood than she currently has. Which expressions represent the total amount of wood she needs for her project? Select all that apply.)
A.n+1/4
B.5/4n
C.1/4n
D.5/4+n
E.n+1/4n
Answer:
E because if she needs 1/4 more than what she already has then you have to multiply 1/4 of the wood she already has and add the wood that she already has
Write impossible, unlikely, as likely as not, likely, or certain. Then, tell whether the probability is 0,close to 0, 1/2, close to 1, or 1 Picking a red marble from 4 white marbles and 7 green marbles
Answer:
Step-by-step explanation:
Which of the following is not equivalent to 10 divided by 80
10/80
80/10
80 divided by 10
8
Here are some points. What is 2/5 out of twenty?
Answer:
8
Step-by-step explanation:
You just need to multiply 20 by 2/5
Or, multiply 20 by 2, then divide by 5.
20 x 2/5
40/5
8
2/5 of 20 = 40/5 or simply, 8.
Have a great day!
Then Find The Value Of X
Answer:
15
Step-by-step explanation:
The given is a right triangle divided into two parts by a sector
so 3x + 45 = 90 subtract 45 from both sides
3x = 45 divide both sides by 3
x = 15
Which of the following tables shows that y is a function of x?
Answer:
Table B
Step-by-step explanation:
Recall: a table of values can only represent a function if and only if every x-value has exactly only one y-value.
The only table that satisfies this condition is the table in option B.
In table B, every x-value is related to only exactly one y-value.
Giving brainliest!!!!!!
Answer:
Answer should be 6, I think
Please only answer if you're 100% sure it's correct. Thank you. (It's pretty easy.)
Answer:
2x-7, 2x-7=14, 2+7
Step-by-step explanation:
I am 99% sure these are correct
Find the common ratio of the geometric sequence 6 , 24 , 96 , . . .
Answer:
4
Step-by-step explanation:
6 * 4 = 24
24 * 4 = 96
Sophie needs to determine the amount of water that will fit into her new vase, shown below.
Which combination of geometric shapes can she use to best estimate the vase's volume?
A cone and a hemisphere
A cylinder and a sphere
A truncated cone and a sphere
A truncated pyramid and a hemisphere
Answer:A truncated cone and a sphere
Step-by-step explanation:
I just did it.
The combination of geometric shapes can she use to best estimate the vase's volume is a truncated cone and a sphere.
Sophie needs to determine the amount of water that will fit into her new vase, as shown below.
What is the volume?
Volume is a scalar quantity expressing the amount of three-dimensional space enclosed by a closed surface.
We have to determine the combination of geometric shapes can she use to best estimate the vase's volume.
Therefore the combination of geometric shapes can she use to best estimate the vase's volume is a truncated cone and a sphere.
To learn more about the volume visit:
https://brainly.com/question/1972490
#SPJ2
find the value of x please help I give brainly
20 points
Answer:
x=148
Step-by-step explanation:
First, find the missing angle by subtracting 100+48 from 180 (all of the angles in a triangle add up to 180). Then, subtract that from 180 (the angles are a linear pair, so they are supplementry, so they add up to 180) x+32=180.
x=148.
(お役に立てれば!)
PLEASE HELP !! ILL GIVE BRAINLIEST !!
"Alternate exterior angles are the pair of angles that lie on the outer side of the two parallel lines but on either side of the transversal line."
YXZ and TUS
What is the volume, in cubic meters, of a rectangular prism with a height of 14 meters, a width of 17 meters, and a length of 13 meters?
Answer: 3084
Step-by-step explanation: 14•17=238 238•13=3084
Answer:
3094
Step-by-step explanation:
l=13 w=17 h=14
v = L W H
V= ( 13 ) ( 17 ) ( 14 )
V= 3094 meters 3
Your Solution:
V= 3094
PLEASE HELPPP! I'LL GIVE BRAINLEST
Answer:
hiiio......
Step-by-step explanation:
b)8 boxes...
If a figure has elght vertices and 12 edges, how many faces does it have? 10
8
6
4
Answer:
It would have 6 faces
Step-by-step explanation:
In any convex polyhedron:
let v be the number vertices , e is the number of edges and f is the number of faces then;
....[1]
As per the statement:
If a figure has eight vertices and 12 edges
⇒v = 8 and e = 12
Substitute in [1] to solve for f, we have;
⇒
Subtract 6 from both sides we have;
f = 6
find the expression as the cosine of an angle
cos pi/4 cos pi/9 - sin pi/4 sin pi/9
Answer: cos(13pi/36)
Step-by-step explanation: just did the assignment
Two dice are tossed. Find the probability of getting the sum of the
dice equal to 4. (Hint: Draw a tree diagram of the possibilities of
two tosses of a die, and then find the sum of the numbers on
each branch.)
Answer:
3/36 -> 1/12 or 2/36 -> 1/18
Step-by-step explanation:
1+3, 2+2, 3+1 or 1+3, 2+2, no tree diagram needed
After multiplying both the numerators and the denominators, it's time to simplify or
reduce your product.
Example: 2/5x3/4 = 6/20.
The greatest common factor of 6 and 20 is 2. We divide the top and bottom by 2, which
simplifies to 3/10.
What is the reduced product of 2/3 x 5/8?
A
10/24
B
5/12
С
1/2
D
10/12
Answer: The answer is B, 5/12.
hope this helped :)
Answer:
B. 5/12
Step-by-step explanation:
2/3 x 5/8 = 10/24
The greatest common factor of 10 and 24 is 2.
Since the GCF is 2,
We divide the numerator and denominator by 2 and get 5/12.
Therefore, the simplified fraction of 10/24 is 5/12.
I need help with this math question
What is the value of (5)3?
Answer:
15
Step-by-step explanation:
This is simply just 5 x 3 = 15
50 POINTS PLEASE HELP!!! Use the formula Circumference = 2nr, where r is the radius and a is 3. 14, to answer the question.
3.0 cm
What is the approximate circumference of the circle?
A 6.00 cm
B. 9.42 cm
C 18.84 cm
D 37.68 cm
Answer:
This one is easy I did this one before its A
Answer:
the answer is c
you times the radius with the 2 and the pi
A kangaroo hops 2 kilometers in 3 minutes. At this rate, the kangaroo will travel kilometers in 15 minutes.
Answer:
the kangaroo will travel 10 kilometers
Step-by-step explanation:
15/3=5
5×2=10
Answer:
10
Step-by-step explanation:
We can use the ratio:
3:2
15:?
15/3 is 5
2*5 is 10.
3) Lynn helped you prepare 35 sets of injections of dopamine for the clinic this week. Each injection is 50mL. How many liters of dopamine did the clinic use this week?
Answer:
1.75 liters
Step-by-step explanation:
Multiply 50ml per set by 35 sets to get 1750ml. If 1000 ml is 1 liter, then 1750 ml is 1.75 liters. :)
This recipe makes 6 portions of fajitas.
Carly has 900 g of chicken, 1200 g of peppers, 150 g of onion, 60 g of spice mix and 30 tortillas.
How much more of each ingredient will she need to make 18 portions by following this recipe?
Recipe: Serves 6
500 g chicken
600 g peppers
90 g onion
25 g spice mix
12 tortillas
Answer:
She needs:
600 g chicken
600 g peppers
120 g onion
15 g spice mix
6 tortillas
Step-by-step explanation:
hope this helps and is right. p.s. i really need brainliest :)
I really want to know what 2+2 is.
Answer:
Step-by-step explanation:
4
Answer:
It's 4 for you and 5 points for me
Step-by-step explanation:
write the sum 3+3+3+3+3+3 using sigma notation
Answer:
18
Step-by-step explanation:
The sum 3+3+3+3+3+3 can be write using sigma notation [tex]\sum_{i=1}^{6}3[/tex] .
What is sigma notation?A series can be represented in a compact form, called summation or sigma notation. The Greek capital letter, ∑ , is used to represent the sum.
According to the question
The sum 3+3+3+3+3+3
Represent the sum as sigma notation
[tex]\sum_{i=1}^{6}3[/tex] start at 1 and goes up to 6
= 3+3+3+3+3+3
Hence, the sum 3+3+3+3+3+3 can be write using sigma notation [tex]\sum_{i=1}^{6}3[/tex] .
To know more about sigma notation here:
https://brainly.com/question/16701078
#SPJ3
A muralist is painting the side wall of a building. The wall is shaped like a rectangle that is 60
feet long and has a diagonal length of 68 feet. If a gallon of paint can cover 800 square feet,
how many gallons will the muralist use?
Answer:
2.4 gallons
Step-by-step explanation:
to answer this question :
we have to determine the width of the rectangle.
determine the area
determine the gallons needed
Pythagoras theorem would be used to determine the width of the wall
The Pythagoras theorem : a² + b² = c²
where a = length
b = base
c = hypotenuse
60² + b² = 68²
3600 + b² = 4624
b = ²4624 - 3600 = 1024
√b = 32
Area of a rectangle = length x width
32 x 60 = 1920
Gallons needed = 1920 / 800 = 2.4 gallons
32 1/2 meters to feet
Answer:
106.6273
Step-by-step explanation:
Answer:
106.6273 ft
Step-by-step explanation: