Answer:
7t/5^3 + 5t^2 + 4t^3
Step-by-step explanation:
Kylie is a psychologist who studies memory. She wants to see whether background music affects memorization.
Kylie randomly sorts 40 subjects into two groups. The 20 subjects in one group are given five minutes to memorize a list of words while background music is playing. The 20 members of the other group perform the same task without any background noise. Afterward, Kylie records how many words from the list each subject could remember.
Words memorized with background music
92914927282011132325162226141421131812
Mean: 18.2 words
Words memorized without background music
2824282427261371512276292022262220179
How much lower is the average for the treatment group than the average for the control group?
Answer:
14,96
Step-by-step explanation:
During an economic downturn, 11 companies were sampled and asked whether they were planning to increase their workforce. Only 2 of the 11 companies were planning to increase their workforce. Use the small-sample method to construct an 80% confidence interval for the proportion of companies that are planning to increase their workforce. Round the answers to at least three decimal places.
An 80% confidence interval for the proportion of companies that are planning to increase their workforce is _______ < p< ________
Answer:
An 80% confidence interval for the proportion of companies that are planning to increase their workforce is 0.033 < p < 0.331.
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].
Only 2 of the 11 companies were planning to increase their workforce
This means that [tex]n = 11, \pi = \frac{2}{11} = 0.182[/tex]
80% confidence level
So [tex]\alpha = 0.2[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.2}{2} = 0.9[/tex], so [tex]Z = 1.28[/tex].
The lower limit of this interval is:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.182 - 1.28\sqrt{\frac{0.182*0.818}{11}} = 0.033[/tex]
The upper limit of this interval is:
[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.182 + 1.28\sqrt{\frac{0.182*0.818}{11}} = 0.331[/tex]
An 80% confidence interval for the proportion of companies that are planning to increase their workforce is 0.033 < p < 0.331.
Suppose x=18,y=24, and z=30 in the figure, which is not drawn to scale. Determine the following values. Enter exact answers (as fractions), not decimal approximations. (e.g., enter 1/2 not 0.5)
cos(θ)=
sin(θ)=
tan(θ)=
cos(ϕ)=
sin(ϕ)=
tan(ϕ)=
Answer:
See explanation
Step-by-step explanation:
cos(θ)= 18/30 = 3/5
sin(θ)= 24/30 = 4/5
tan(θ)= 24/18 = 4/3
cos(ϕ)= 24/30 = 4/5
sin(ϕ)= 18/30 = 3/5
tan(ϕ)= 18/24 = 3/4
The value of the trigonometric ratios have been determined.
What are Trigonometric Ratios ?In a Right angled triangle , the trigonometric ratios are used to determine the value of angles and sides.
The side length of the triangle as given in the figure is 18 , 24 , 30
The value of the trigonometric ratios are
cos θ = Base / Hypotenuse
sin θ = Perpendicular / hypotenuse
tan θ = Perpendicular / Base
cos(θ)= 18/30 = 3/5
sin(θ)= 24/30 = 4/5
tan(θ)= 24/18 = 4/3
cos(ϕ)= 24/30 = 4/5
sin(ϕ)= 18/30 = 3/5
tan(ϕ)= 18/24 = 3/4
Therefore the value of the trigonometric ratios have been determined.
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Factor this expression. 3x² - 6x O A. 3x(x - 2) B. 3x(x2 - 2) O C. 3(x-2) D. 3072 - 2)
Answer:
A. 3x (x-2)Step-by-step explanation:
Question:To factorise
3x² - 6x
Solution:3x² - 6x
[Taking common term out]
= (3x × x) - (3x × 2)
= 3x ( x - 2)
Result:Hence, factorised answer of 3x² - 6x is 3x (x-2) (Ans)
Need help quick!!! Karl set out to Alaska in his truck the amount of fuel remaining in the trucks tank in liters as a function of distance driven in kilometers is graphed how fast did the truck consume its fuel
Answer:
I think it's 40 . I'm not sure
Answer:
0.6 liter per kilo
Step-by-step explanation:
An individual can win a prize by drawing the highest numbered card out of five cards. After each draw, the card is replaced and the cards are shuffled for another chance. If the prize is not won, the card is again replaced and mixed in with the other cards. If a prize is won, the highest card is replaced and the five cards are shuffled for a new game. If an individual makes seven draws, what is the probability the individual will win a prize exactly two times
Answer:
[tex]\frac{1}{25} =0.04[/tex] (Unusual)
Step-by-step explanation:
1/5 for one drawing
1/5 chance to win once, if there is only one game.
Then multiply them together to get 1/25.
If you need in decimal form 1/25 = 0.04 (unusual)
If an individual makes seven draws, what is the probability the individual will win a prize exactly two times is 0.2753
What is Permutation and Combination ?
A permutation is an act of arranging the objects or numbers in order.
Combinations are the way of selecting the objects or numbers from a group of objects or collection, in such a way that the order of the objects does not matter.
An individual can win a prize by drawing the highest numbered card out of five cards.
Given that an individual makes 7 draws
p = 1/5 = 0.2
q = 1-P =0 .5
5 times corresponds to B( 7 , 0.2)
P(x = 2) = 7 C₂ (0.7)² (0.8)⁵
= 21 * 0.04 * 0.3277
= 0.2753
Therefore If an individual makes seven draws, what is the probability the individual will win a prize exactly two times is 0.2753
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What is the solution to 5/6 X 2/3 =
? Mark the TWO correct
answers.
Answer:
5/9
Step-by-step explanation:
Answer:
i think is 5/9 :))
Simplify the radical expression. ⁴√81x²⁰y²⁴
I think it's either A or B
Answer:
3x^5y^6 (a)
Step-by-step explanation:
La raiz de un productor es igual al producto de las raices de cada factor
^4√81 ^4√x^20 ^4√y^24
escriba el numero en forma exponencial an base 3
^4√3^4 ^4√x^20 ^4√y^24
simplifica el indice de la raiz y el exponente usando 4
^4√3^4 x^5 ^4√y^24
simplifica el indice de la raiz y el exponente usando 4
^4√3^4 x^5 y^6
simplifica el indice de la raiz y el exponente usando 4
3x^5y^6
Bob earns $10 per hour plus a
15 percent commission on his sales. Last week he worked h hours and had s dollars in sales. Write an equation that represents his total earning, in dollars, last week?
O 10.15hs
O 10.15(h +s)
O 10h+0.15s
O 10(h + 0.15s)
Answer:
C, 10h + 0.15s
Step-by-step explanation:
he earns 10 dollars per hour so 10h
he earns 15% or .15 per sale so .15s
add them together to get 10h + 0.15s
Help me to convert the following to redian (1) 300° (2)18° (3) 105°
Answer:
(1) 5.23599
(2) 0.314159
(3) 1.8326
Which number line represents the solution set for the inequality 2x – 6 ≥ 6(x – 2) + 8?
Answer:
[tex]x \leqslant - \frac{1}{2} [/tex]
What is JM? please help :((
Answer:
I think its D 30
Step-by-step explanation:
a sweater originally priced at $79 is marked down 20%. What will the sales piece be?
Answer:
$63.20
Step-by-step explanation:
first we have to find how much the sweater is marked down in money. we do this by converting the percentage to decimal form and multiply by the original price.
79•0.2= 15.8
so the sweater is marked down $15.80. now we subtract that markdown from the original price to find the new price
$79-$15.8= $63.20
hope this helps chu <3
Which of these sets of numbers contains no rational numbers?
NEED ANSWER NOW!
Answer:
the first option
Step-by-step explanation:
for a number to be rational, it should be able to be expressed as a fraction. Non terminal decimals must have a repeating pattern. Square roots of random numbers aren’t rational. Just like the first rule with decimals, the third number cannot be expressed as a fraction
Answer:
Step-by-step explanation:
it’s the first one
help me please :(*********
Answer:
These will be equal, so the answer is 7
Step-by-step explanation:
Set 2x+42 and 9x-7 equal to each other, then solve.
2x+42=9x-7
-2x +7 -2x +7
49=7x
x=7
Which is the number that gives 240 when added to its own square?
Answer:
15
15 when added to it's square gives 240
What is the contrapositive of the following conditional? If a number is divisible by 10, then it is divisible by 5.
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
Answer: No because that is not always true.
Explanation:
I hope this helped!
<!> Brainliest is appreciated! <!>
- Zack Slocum
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
help me with this plzzz
Answer:
b is the answer
Step-by-step explanation:
if you look at the graph chart you will notice that b lines up with negative 4 and positive 2
solve this question 5/8÷15/16=?
Answer:
Hellou our answer is 2/3
Step-by-step explanation:
5/8 ÷ 15/16 = 2/3
Answer:
[tex]\frac{2}{3}[/tex]
Step-by-step explanation:
what is 1086.3961 rounded to the nearest square foot?
This is hard for me but easy for you so what’s the answer ?
Step-by-step explanation:
112=35+d
112-35=d
d=77
Chris buys 5 apples for $2.60 .How much does one apple cost
Answer:
.52¢
Step-by-step explanation:
One apple cost 52 cents. The expression below represents the cost of an apple.
5a =2.60
5a/5= 2.60/5
a =0.52
Answer:
Each apple costs $0.52.
Step-by-step explanation:
Christ spent a total of $2.60 for 5 apples. We want to find the cost of one apple.
To find this: total cost/total apples
2.60/5 = 0.52
Each apple costs $0.52.
Let's check our answer.
If one apples costs $0.52, 5 apples should cost 0.52 • 5
0.52 • 5 = 2.60
This is how much Christ spent; therefore your answer is correct.
Hope this helps!
Tell if the slope is positive, negative, zero, or no slope.
POSITIVE
Answer:
Negative
Step-by-step explanation:
The line is trending downwards, which is indicative of a negative slope.
To find the value of the following expression, which task should be completed first?
Answer:
subtract inside the parentheses
Step-by-step explanation:
According to pemdas. It is parenthesis first so you subtr what’s inside first
Answer:
Subtract inside the parenthesis
Step-by-step explanation:
For this problems you have to follow PEMDAS which stand for
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction
in that order
Please help me i cannot understand these Questions
Answer:
In the last task, the result is 17+3x/6
Step-by-step explanation:
X+5/3 - 2x-7/6 + x/2
2(x+5)-(2x-7)+3x /6
2x+10-2x+7+3x /6
17+3x/6
I dunno this task above, I hope this one is correct :))
QUESTION
The first four terms of a quadratic sequence are 8; 11; 16; 23; .-
Write down the next two terms of the quadratic sequence.
J. 2 Calculate the nth of the quadratic sequence.
i: 5.3 Determine the position of the term 2311 in the sequence.
(1)
(4)
(3)
[8]
Answer:
b
Step-by-step explanation:
Find the area of the trapezoid. Round your answer to the nearest hundredth.
Answer:
42.50 units²
Step-by-step explanation:
Area of the trapezoid = ½(AB + DC)×AD
AB = 6
DC = 11
AD = ?
Use trigonometric function, TOA to find AD:
Tan 45 = Opp/Adj
Opp = AD
Adj = 11 - 6 = 5
Tan 45 = AD/5
5 × tan 45 = AD
AD = 5
✔️Find Area of trapezoid.
Area = ½(AB + DC)×AD
= ½(11 + 6)×5
= 42.50 units²
help, please will give Brainliest
9514 1404 393
Answer:
A. 57 7/9 ft³
Step-by-step explanation:
The volume of a rectangular prism (cuboid) is the product of its dimensions.
V = LWH
V = (4 1/3 ft)(3 1/3 ft)(4 ft)
If you drop the fractions, this becomes ...
V = (4 ft)(3 ft)(4 ft) = 48 ft³
You know the fractions add some amount to this, so you know the volume will be somewhat larger than 48 ft³. The only reasonable choice is A: 57 7/9 ft³.
__
If you feel the need to compute the volume exactly, you can do so using improper fractions.
V = (13/3 ft)(10/3 ft)(4 ft) = 520/9 ft³ = 57 7/9 ft³
Find the value of x plssssssss
Answer:
150 degrees
Step-by-step explanation:
Hi,
Since one of the angles is 30 degrees and this is a line, we know that 30 + u must equal 180 degrees.
30 + u = 180
Subtract 30 from 180 to find the value of u.
u is 150 degrees.
I hope this helps :)
Answer: 150 degrees
Step-by-step explanation:
A line is 180 degrees in total, since that acute angle is 30 degrees you just subtract 30 from 180, which gives you the other side ( which has to equal 180) of 150 degrees. If it were 40 degrees ( instead of 30) it would be 140 degrees on the other side.... etc
Solve the following inequalities and give the solutions in both set and interval notations.
-2x + 5 < -x + 25