Complete Question
A psychologist has designed an index to measure the social perceptiveness of elementary school children. The index is based on ratings of a child's responses to questions about a set of photographs showing different social situations. A random sample of 16 elementary school children was chosen, and their index measurements were recorded. Assume that the index measure in the population is normally distributed. The 95% confidence interval created from this data is (56.29, 65.09). This interval indicates:__________.Choose one or more:
a. The average index of elementary school children must be 60.69.
b. The standard deviation of the sample is about 10% smaller than the population standard deviation.
c. That if we take many samples from this population 95% of them will have a sample mean between 56.29 and 65.09.
d. 95% of all elementary school children in this district have indices between 56.29 and 65.09.
e. 4.40 is 95% of the true average of the index for all elementary school children.
f. We are 95% confident that the average index for all elementary school children is between 56.29 and 65.09.
Answer:
The correct option is a and f
Step-by-step explanation:
From the question we are told that
The sample size is n = 16
The 95% confidence interval is (56.29, 65.09)
Generally the sample mean(average index of elementary school children) is mathematically represented as
[tex]\= x = \frac{65.09 + 56.29}{2}[/tex]
=> [tex]\= x = 60.69 [/tex]
I need help with this problem (THIS IS NOT FROM A TEST)
Answer:
44.5 degrees.
Step-by-step explanation:
Since these triangles are congruent, their angles are the same.
Therefore, we can set an equation with the 2 labeled angles (which are angles C and F):
2.5x+8=3.5x-7
8=x-7
x=15
We can plug 15 back into one of the equations:
2.5(15)+8 = 45.5
This means angle F is 45.5.
To find out the measure of angle E, recall the fact that the angles in a triangle add up to 180. Since this is a right triangle, and F = 45.5, we can set up an equation and solve for x:
90 + 45.5 + x = 180
135.5 + x = 180
x = 44.5
Therefore, the angle E is 44.5 degrees.
Answer:
44.5
Step-by-step explanation:
These triangles are the same so we know that
2.5x + 8 = 3.5x - 7
Subtract 2.5 x from both sides
8 = x - 7
Add 7 to both sides
15 = x
Substitute x
37.5 +8
45.5
There is a right angle so we must add 45.5 + 90 to get 135.5
Subtract 135.5 from 180 to get
44.5
2.
A line goes through the points (0, 10) and (-1, 1).
2a
What is the slope of the line?
Answer:
9
Step-by-step explanation:
We can find the slope using the slope formula
m = ( y2-y1)/(x2-x1)
= ( 1 -10)/(-1 -0)
= -9/-1
= 9
Answer:
9
Step-by-step explanation:
1 - 10 / -1 +0 = -9 / -1 = 9
What is the value of -8(17-12)/-2(8-(-2))
Answer:
it's 2 got it right on edg
Step-by-step explanation:
The length of a quarter is 0.955 inch. Round the length of a quarter to the nearest tenth of an inch
Answer:
the answer to the question is 0.96.
Answer:
1 inch
Step-by-step explanation:
the 9 is in the tenths place. 5 or more you need to round up.
A local farm has a 0.5 acre field that was planted with 26,100 corn plants. One acre is equivalent to 43,500 square feet. Assuming the same planting density, how many corn plants could they plant on a field with an acre of 80,000 square feet
Answer:
96000 corn
Step-by-step explanation:
80,000/43500 = 1.84
1.84/0.5 = 3.678
3.678 x 26100 = 96000
Students in grades 7 and 8 were asked which food they liked the best. The results are shown in the table. What percentage of all students prefer hotdog
Answer:
Where's the table?
Step-by-step explanation:
Answer:
55%
Step-by-step explanation:
Y=6x+3
Find slope can anyone give me a step by step
Answer:
slope is 6/1 (or 6)
Step-by-step explanation:
your y-intercept is 3, so that means the point will be (0,3).
from there, you can start plotting points. up 6, over 1 (to the right)
the equation for a line is y=mx+b, so whatever number is in m will always be your slope, and whatever number is in b will be your y intercept
enrico is laying 1-ft tiles ok a square bathroom floor. if he needs 81 tiles to cover the floor, how many tiles run along each wall?
Answer:
9
Step-by-step explanation:
you would need to find the square root of the total amount of tiles. luckily 81 is a square number meaning the answer is each side is 9 tiles long.
1 If f(x) = x - x9, what is the value of f(2)?
Can any1 help me with this question please
Generally accepted accounting principles require companies to use only one factor overhead rate for product costing True or False?
Answer:
i think its false :>
Step-by-step explanation:
Which of the following statement is false? 8 < 8 2>8 2<8 2<8 2<8
Answer:
8<8
2>8
Step-by-step explanation:
yw:))
How do i graph y=4x + 5
Answer:
it would look like the picture below
Step-by-step explanation:
Solve for x 2(-4x+2)=28
Answer:
x=-3
Step-by-step explanation:
Divide both sides by 2, so -4x+2=14
Subtract 2 from both sides, -4x=12
Divide both sides by -4, so x=-3
Answer:
4x2 = 28
Step-by-step explanation:
Asppppp help Im taking a quixxxx
Answer: a, b, d
Step-by-step explanation: don’t count me on it
Answer:
B, D
Step-by-step explanation:
just find the common denominator and see if it works
Which graph models a relationship with the same unit rate ?
kendsgkjdbgfz
Step-by-step explanation:
Find the domain for f(x) = 2x + 9
Answer:9
Step-by-step explanation:Set x to 0 and the answer is 9
fully reduce 18/10 plz i need help
Answer:
9/5
Step-by-step explanation:
PLS HELP ASAP
Write a word problem that can be represented by the expression 5/6 divided by 1/3.
Answer:
I have 5/6 of a candy bad and I want to give each of my 3 friends some. How much would each friend get?
Step-by-step explanation:
The word problem that can be represented by the expression 5/6 divided by 1/3 is "There are a total of 5/6 chocolates. Divide these chocolates such that each person will get 1/3 part of that".
Given :
The expression 5/6 is divided by 1/3.
The following steps can be used in order to determine the word problem that can be represented by the expression 5/6 divided by 1/3:
Step 1 - The knowledge of arithmetic operations can be used in order to determine the word problem that can be represented by the expression 5/6 divided by 1/3.
Step 2 - There are a total of 5/6 chocolates. Divide these chocolates such that each person will get 1/3 part of that.
Step 3 - Solve the above problem by dividing 5/6 by 1/3.
[tex]= \dfrac{5\times 3}{6\times 1}[/tex]
= 2.5
For more information, refer to the link given below:
https://brainly.com/question/25834626
The order in which you multiply inverse matrices is not relevant.
True
False
C is the circumcenter of PQR
PC=3x+7, RC=5x-15 and QC=51-x.
what does RC equal?
Answer:
[tex] RC = 40 [/tex]
Step-by-step explanation:
Given:
PC = 3x + 7,
RC = 5x - 15,
QC = 51 - x.
Required:
measure of RC
SOLUTION:
Given that C is the circumcenter of ∆PQR, therefore, vertices P, Q, and R are equidistant from C.
So therefore,
[tex] PC = RC = QC [/tex]
Let's find the value of x using:
[tex] PC = RC [/tex]
[tex] 3x + 7 = 5x - 15 [/tex] (substitution)
Collect like terms
[tex] 3x - 5x = -7 - 15 [/tex]
[tex] -2x = -22 [/tex]
Divide both sides by -2
[tex] x = \frac{-22}{-2} [/tex]
[tex] x = 11 [/tex]
Find the measure of RC
[tex] RC = 5x - 15 [/tex]
substitute x = 11 into the equation
[tex] RC = 5(11) - 15 [/tex]
[tex] RC = 55 - 15 [/tex]
[tex] RC = 40 [/tex]
Answer:
40
Step-by-step explanation:
ignore the black words on the bottom but i’ll be giving brainliest!
Answer:
2. the figure has rotatinal symetry
Step-by-step explanation:
Answer:
1. x = 4; y = 7
2. rotational symmetry.
3. No. 360°÷ 50° is not a whole number, so the points will not be evenly spaced all the way around the center.
Step-by-step explanation:
hi again ♡
need help rn will give brainlyest if correct answer with explaining
unit ratio
Answer:
1. 2 eggs per person 2. 3 dollars for each pound 3. 5 pages each day
Step-by-step explanation:
hope this helps .
-3 times (7+(-3) to the second power) divided by 3
Answer:
-18
Step-by-step explanation:
Look at the figure. If ∆LMC ≅ ∆BJK, then _____ ≅ ∆KB
A. BJ
B. CM
C. ML
D. CL
If ∆LMC ≅ ∆BJK, then ∆CL ≅ ∆KB. so the correct option is D.
What is the congruent triangle?Two triangles are said to be congruent if the length of the sides is equal, a measure of the angles are equal and they can be superimposed.
We have been given that ∆LMC ≅ ∆BJK.
The image of the triangles are attached below;
The triangle are congruent to each other so,
∆LMC ≅ ∆BJK
∆LM ≅ ∆BJ
∆LC ≅ ∆BK
∆MC ≅ ∆JK
Thus, ∆LC ≅ ∆BK so the correct option is D.
Learn more about congruent triangles;
https://brainly.com/question/12413243
#SPJ2
need help..................
Answer:
The answer is D
Step-by-step explanation:
(4x6)^3
(24)^3=13,824
when you multiply 4^3 with 6^3 you get the same answer of 13,824
Answer:
Answer=D
Step-by-step explanation:
(for powers outside a bracket it splits in the numbers inside the bracket)
(4×6)^3
=([tex]4^{3}[/tex]×[tex]6^{3}[/tex]) as in D
To proof
-if we multiply them first we will get 24 and that to the power of three will equal to 13824.
-if we did as in the answer so,
[tex]4^{3}[/tex]×[tex]6^{3}[/tex]
=64×216
=13824
they are equal to each other 13824=13824 so answer D is correct.
What is the range of 12,20,18,25,6
Answer:
19
Step-by-step explanation:
The range is the difference between the biggest number and the smallest number
Let's put these numbers in order:
25,20,18,12,6
The biggest number is 25, the smallest number is 6
25-6=?
19
A student missed 51 problems on a history test and received a grade of 4%. If all the problems were of equal value, how many problems were on the test? Follow the problem-solving process and round your answer to the nearest integer.
2,9,23,51,107
Determine the next terms of sequence
Answer:
answer is 142
Step-by-step explanation:
1.Solve: 12 2
Its urgent need these answered, please
Answer:
K must be greater than 5
G must be less than 4
Step-by-step explanation:
hellllllllllllllllllp
Answer:
Step-by-step explanation:
Its b
Answer:
D
Step-by-step explanation: common sence because when it 5 and the little 2
would be 5 times 5 BUT 5 and the little 4 would be 5 times 5 times 5 times 5 so which if you add those u get 5 times etc u get the point