This question is incomplete, the complete question;
The American Psychological Associated conducted a survey in 2003 of psychologists to estimate the average incomes for psychologists based on their academic degree and years of experience. 36 psychologists responded who had a just received their masters degree in 2003. The average was $48,800 with a standard deviation of $16,800.
The 95% Confidence Interval is ($, $ )
Answer:
at 95%, confidence interval is ( $43312, $54288 )
Step-by-step explanation:
Given the data in the question;
sample size n = 36
mean x' = 48,800
standard deviation σ = 16,800
at 95% confidence level;
∝ = 1 - 95% = 1 - 0.95 = 0.05
∝/2 = 0.05 / 2 = 0.025
z critical value, [tex]Z_{\alpha/2[/tex] = 1.96
now, confidence interval for population mean is given by the formula
x' ± [tex]Z_{\alpha/2[/tex]( σ/√n )
so we substitute
⇒ 48800 ± 1.96( 16800/√36 )
⇒ 48800 ± 1.96( 2800 )
⇒ 48800 ± 5488
⇒ 48800 - 5488, 48800 + 5488
⇒ ( 43312, 54288 )
Therefore, at 95%, confidence interval is ( $43312, $54288 )
Please help, if you’re correct I’ll mark you as brainiest!!!
Answer:
B. -7.5%
Step-by-step explanation:
Original cost: 50 * $20 = $1000
Value after 1 year: $925
percent change in 1 year = (925 - 1000)/1000 * 100%
percent change = -7.5%
Answer: B. -7.5%
Eighteen out of every 24 people surveyed say they went to at least one movie in December. what fraction of the people surveyed went to a movie in December?
Answer:
3/4
Step-by-step explanation:
18/24
divide both sides by 6 to get 3/4
I need help with number 9
Using the line of bets fit, about how much would you expect a kitten to weigh at 11 weeks?
Answer:
40 ounces
Step-by-step explanation:
Every week the kittens roughly gain about 5 ounces. The like was at 35 on week 10, so on week 11 it would be 40.
find the missing side of each triangle
Answer:
x=12
base ×hight=4×3=12
.
Answer:
The correct answer is 5
Reasoning:
c = √a2 + b2
= √32 + 42
= √25
= 5
ryan rides his bicycle 5 miles in 3/4 hour. how many miles can he ride at the same rate in 1 hour? (in fractions)
Answer:
20/3
Step-by-step explanation:
If Ryan rides his bike 5 miles in 3/4 of an hour, then he rides 5/3 miles in 1/4 of a hour (divide both by 3). To get to a full hour from 1/4, you need to multiply it by 4. You must do the same for 5/3. 5/3*4 is equal to 20/3.
PLEASE HELP WITH THIS MATH SUM
David answered 60 questions in a test. For every correct answer, he received 4 marks. For
every incorrect answer, 7 marks were deducted from his final score. He scored 108 marks.
How many questions did David answer correctly?
Answer:
27 questions correct
Step-by-step explanation:
Well 108 marks and 4 marks for each correct,techinally you can’t subtract since 108 is the final score, and the thing was already subtracted so \divide.
108/4= 27
27 correct answers
An ecologist is concerned that the number of toads that inhabit an area is declining. Since it is difficult to count the total number of toads exactly, a method that they use to detect the abundance of toads is to measure the time between mating calls during mating season. From a ten-year-old study, the mean time between mating calls was 1.2 seconds with a standard deviation of .3 seconds. Let X denote the random time between mating calls of these toads, and suppose X is normally distributed. The ecologist randomly selects a time between mating calls. Please compute the values up to three decimals ( ex: 0.571) Calculate the probability that the selected time is exactly 1.2 seconds
Answer:
0% probability that the selected time is exactly 1.2 seconds.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
The probability of a value being equals to x is 0 in the normal distribution.
From a ten-year-old study, the mean time between mating calls was 1.2 seconds with a standard deviation of .3 seconds.
This means that [tex]\mu = 1.2, \sigma = 0.3[/tex]
Calculate the probability that the selected time is exactly 1.2 seconds?
In the normal distribution, the probability of a finding an exact value is 0. So 0% probability that the selected time is exactly 1.2 seconds.
Jasmine likes to set placemats out on her dining room table. Her favorite placemats are circular. Each one has a radius of 5 inches. What is the area of each placemat to the nearest tenth of a square inch?
Answer:
The answer is half of 5 to the nearest 10th
Step-by-step explanation:
Plz help! Urgent!
1) To the nearest tenth, what is the population density of bacteria at the end of the third hour in petri dish A?
2) To the nearest tenth, which petri dish has the greatest population density of bacteria at the end of the third hour and by how much?
Answer:
Both answers are C!!!
Step-by-step explanation:
Im so lucky, I guessed and got them both right on the usatestpreptest.
answer 1: petri dish A will have a density of 19.6
answer 2: Petri dish A by 3.3 bacteria/mm
Por favor ayúdenme??
A
B
C
D
Answer:
ITS B!!! AY
Step-by-step explanation:
Kianna's aquarium is "box-shaped" with dimensions of 5 ft by 1 ft by 8 in. What is the water capacity of her aquarium in gallons? Consider that 1 ft3 of liquid corresponds to 7.5 gallons of the liquid.
Answer:
volume of aquarium =l×b×h=5×1×8=40ft³
volume of aquarium in gallons=
40ft³×7.5gallons/ft³=300galloons
The graphs of f(x), g(x) and h(x) are shown in the box above. Below that are the graphs of the reciprocal of two of the functions from the box above. Write a(x) and b(x) in terms of one of the functions listed in the box above. What do I do?
Then, sketch the reciprocal of the function that was not used in parts (a) or (b).
Answer:
As part of exploring how functions change, we can identify intervals over which ... We say that a function is increasing on an interval if the function values ... Graph of a polynomial that shows the increasing and decreasing intervals ... In this text, we will use the term local. ... As x gets large in the negative direction, the outputs.
Step-by-step explanation:
1. Solve and show your work for each question.
(a) What is 0. 36 expressed as a fraction in simplest form?
(b) What is 0.36 expressed as a fraction in simplest form?
(c) What is 0.36 expressed as a fraction in simplest form?
Answer:
9/25
Step-by-step explanation:
3/10 + 6/100
3 is in the tenth place and 6 is in the hundredth place
rewrite the fractions as something over 100
so multiply the fraction 3/10 by 100; both numerator and denominator
this equals to 30/100 + 6/100
30 + 6 = 36/100
this can be simplified further by dividing 36 by 4 and dividing 100 by 4
this is equal to 9/25
I hope this helps
Factor −1/4 out of −1/2x−5/4y.
Answer:
srry got last one wrong
-1/4(2x + 5y)
Step-by-step explanation:
please give brainliest
A square has sides that measure 6 inches.
Explain how to use the method in this lesson to find the area
of the square.
Answer:
to find the area you will do 6² . the area would be 36.
what is the slope of line parallel to the line q?
A. 1/3
B. -3
C. -1/3
D. 3
Answer:
C
Step-by-step explanation:
The line is negative therefore the slope will be negative.
The line goes down 1 and over 3 to get to the next even point.
-1/3 = slope
Find an example of an inequality used in the real world and describe it using a number line.
Answer:
3 more than or equal to n:
<-------------3--2--1- 0 -1-2-3.------------->
Negative Positive
Divide. Round your answer to the nearest tenth.
The area of parallelogram WXYZ is approximately 45 square units.
Parallelogram W X Y Z is shown. Sides W Z and X Y are congruent. The lengths of sides W X and Z Y are 10 units. Angle W Z Y is 115 degrees.
Trigonometric area formula: Area = One-half a b sine (C)
What is the approximate perimeter of the parallelogram?
5 units
15 units
30 units
40 units
Answer:
30 units!
Step-by-step explanation:
Edge 2020, I got a 100% on the test
Answer:
30 units
Step-by-step explanation:
muah good luck guys!
solve the equation -3(w+12)=-16
Please help, brainliest for correct answer
Answer:
180°
Step-by-step explanation:
the interior of every single triangle is 180°
if it doesn't add up to 180% something is wrong or it isn't a triangle
hope this helped, good luck
-cheesetoasty
60 - 3d + 20 - 6 = 4d
What symmetry is this shape?part a
a. Reflection symmetry
b. Rotational symmetry
c. Translation symmetry
d. This figure is not symmetrical
Answer:
b. Rotational symmetry
Step-by-step explanation:
Hope it helps you in your learning process
pls me with this maths assignment
Answer:
56ft
Step-by-step explanation:
5+4+12+11+16+8=56
At the time of her grandson's birth, a grandmother deposits $2000 in an account that pays 6.5% compounded monthly. What will be the value of the account at the child's twenty-first birthday, assuming that no other deposits or withdrawals are made during this period?
Answer:
$41, 863. 50
Step-by-step explanation:
$2000 - 6.5% = $1,993.50
$1,993.50 x 21 = $41, 863. 50
A triangle has one 40° angle and two 70° angles. Is this triangle equilateral?
Answer:
No
Step-by-step explanation:
All angles have to be =
There are 7 girls and 3 boys in a class. Two students are to be
randomly chosen for a special project. What is the probability of
selecting a boy and a girl?
Answer:
7/15 is the probability of selecting a boy and a girl.
Step-by-step explanation:
Combination = nCr = n!/((n-r)!r!)
((7C1)(3C1))/(10C2)
= (7*3)/45
=21/45 = 7/15 the probability of selecting a boy and a girl.
If a study determines the difference in average salary for subpopulations of people with blue eyes and people with brown eyes is NOT significant, then the populations of blue-eyed people and brown-eyed people are ________ different salaries.
Answer:
i dont know, sorry
Step-by-step explanation:
A concrete pillar has the shape of a cylinder. It has a radius of 3 meters and a height of 5 meters. If concrete costs $108 per cubic meter, how much did the concrete cost per pillar? Using 3.14 for pie
Answer:
Given:- r - 3 Meter
h - 5 Meter
rate - 108$ Per M³
Sol:
Volume of Cylindrical Concrete Pillar= V = πr²h
V = 3.14×3×3×5 (π = 3.14)
Volume ≈ 141.37
Cost of Concrete pillar = 108$/m³
Cost = 108 × 141.37
Cost of Making Cylindrical Concrete pillar= $15,267.96
6. Barbara has $750 to deposit into two different savings accounts.
• Barbara will deposit $350 into accountl, which earns 4.5 % annual simple interest.
• She will deposit $400 into Account II, which earns 4 % % interest compounded annually.
Barbara will not make any additional deposits or withdrawals. Which amount is closest to
the sum of the balance of Account I and account II at the end of 3 years?
9514 1404 393
Answer:
(d) $850.45
Step-by-step explanation:
The balance in account I is given by ...
A = P(1 +rt) . . . . principal P invested at annual rate r for t years
A = 350(1 +0.045×3) = 397.25
__
The balance in account II is given by ...
A = P(1 +r)^t
A = 400(1 +0.0425)^3 ≈ 453.20
__
The total amount in the two accounts is
$397.25 +453.20 = $850.45
