F(x)=3^3 + 5(3)^2 +1
F(x)=27 + 5(9) +1
F(x)=27+45+1
F(x)=73
To test the effectiveness of a drug proposed to relieve symptoms of depression, psychiatrists recruited volunteers for clinical tests. All of the volunteers were diagnosed with symptoms of depression. The psychiatrists provided the drug to first group and a sugar pill to the second group. In the description of the above situation, determine the control group.
Answer:
The control group is the group that takes the sugar pill
Step-by-step explanation:
In drug testing, to determine the efficacy of a drug, different groups of experimental subjects are recruited, one group is given the drug to be tested (treatment group) while another group is given a placebo.
A placebo is a fake version of the drug to be tested that does not have any therapeutic effect on the test subjects that receive it. In this case, the control group receives the placebo which is the sugar pill. They serve as the baseline of measurement when the outcome of the effect of the drug testing is done. The groups that received the actual drugs are compared against the groups that received the hoax treatment, and any change occuring in the test subjects become the changes occuring as a result of the test drug used, when the observations on the control group has been ruled out.
There are 10 books on a shelf. How many different
ways can the books be arranged?
Please help
Answer:
Number of books =10
Total number of ways =10!
Given pair of books to be together considering them as one
total sets =9
Number of ways of arranging them =9!ways
Those two books can be arranged in 2!
Total ways that the pair of books is together
⇒9×2
Number of ways that are not together
⇒10−9×2
⇒9(10−2)
⇒8×9
Answer:
I hope you understand please give brainliest
Step-by-step explanation:
We have a total of 10 books. If a particular pair of books must always be together, just tie these two books together and consider as a single book. Hence we can take total number of books as 9. These 9 books can be arranged in 9P9 =9!
an orange paint mixture uses 3 cups of red paint for every 5 cups of yellow paint. how many cups of yellow paint will one cup of red paint be for.
respuesta : 8 espero tesirba
Elena finds that the length of a house on a scale drawing is 5 inches. The actual length of the house is 45 feet. What is the scale of the drawing?
Answer:
81 is the scale of the drawing.
Step-by-step explanation:
if 4 shirts and 3 ties cost 241. and 3 shirts and 4 ties cost 200. what is the cost of 1 shirt and 1 tie?
Answer:
cost of 1 tie = 11
cost of 1 shirt = 52
Step-by-step explanation:
help me on this.
what can be used in step 3?
Step-by-step explanation:
answer is been attached, hope u understand
David's overtime rate is $20. This week, he worked 3 overtime hours. How much will he get paid for overtime?
A. $30
B.$45
C$60
Answer:
$60
Step-by-step explanation:
3x20=60
5 less than twice the length equals 11 as an algebraic equation
Answer: 2*L - 5 = 11
Step-by-step explanation:
Suppose that we have a rectangle with length L and width W.
Now we know that:
" 5 less than twice the length equals 11"
Then we get:
"twice the length" is written as 2*L
5 less than that is:
2*L - 5
And this is equal to 11, then:
2*L - 5 = 11
This is the algebraic equation we wanted to find,
You roll a 6-sided die.
What is P(2)?
Write your answer as a fraction or whole number.
Answer: The probability of rolling a 2 on a 6-sided die is 1/6.
Step-by-step explanation:
The probability of getting 2 on the die P(2) is 1/6.
What is probability?Probability is the chance of occurrence of a certain event out of the total no. of events that can occur in a given context.
Given, We roll a six-sided die,
So, Sample space N(S) = 1, 2, 3, 4, 5, 6 = 6.
N(2) = 1
∴ The probability of getting the number 2 when we throw a die is
P(2) = N(2)/N(S).
P(2) = 1/6.
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Sagar sold a watch at Rs.400 that he had purchased at Rs.500.what is his
percentage loss?
a. 15%
b. 20%
c.25%
d. 30%
The loss percentage is 20%.
We have the following information available from the question is:
Saggar sold a watch at Rs.400 that he had purchased at Rs.500.
We have to find the Percentage loss.
Now, According to the question:
Cost price of watch is (CP): $500
Selling price of watch is (SP): $400
Loss percentage= Loss/CP x 100.
Loss = C.P. - S.P.
Loss = 500 - 400
Loss = $100
Plug all the values in the formula of loss percentage.
Loss percentage = 100/500 x 100
Loss Percentage is 20%
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round 3 2/3 to the nearest whole number
Answer:
3 2/3 can be converted into proper fraction like this
3*3+2←numerator
3 itself ← denominaor
So, we have 11/3
Nearest to 11/3 will be 4
PLEASE HELP The value of x in A is _, and the value of y in B is_.
b. 3.3 x 0.8 =
3 3
х
8
Answer: the answer is 2.64 or 264
Explanation: if you multiply 3.3 × 0.8=264 but if you mulyiply 33×8=264
se quiere pintar una pared en forma de hexágono regular y se sabe que cada lado mide 3m y que su apotema es de 2,8m ¿cual es el area que se va a pintar?
Answer:
16.8 metros cuadrados.
Step-by-step explanation:
Dado que se quiere pintar una pared en forma de hexágono regular y se sabe que cada lado mide 3m y que su apotema es de 2,8m, y que el área de un hexágono es igual al perímetro multiplicado por la apotema, y dicho resultado dividido por 2, para determinar cuál es el área que se va a pintar se debe realizar el siguiente calculo:
((6x3) x 2.8) / 2 = X
(12 x 2.8) / 2 = X
33.6 / 2 = X
16.8 = X
Así, el área que se va a pintar es de 16.8 m2.
Pls help
Identify each angle pair as adjacent, vertical, or neither. Identify Structure Refer to the diagram at the right. Identify each angle pair as adjacent, vertical, or neither.
Answer:
angle 5 and angle 6 are adjacent angles, all adjacent means is directly next to each other, another example would be 6 and 1; 1 and 2; 2 and 3, etc
and example of vertical angles would be 6 and 3, they basically form an x, another example is 5 and 2, 1 and 4, etc
an examples of angles that would qualify as neither would be 1 and 3, they are not next to one another, thus they are not adjacent, and they do not form an x so they are not vertical, another example would be 5 and 3
how much is 1000 subtract 4
Answer:
your answer is 996
1000 - 4 = 996
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Answer:
bu ney ben anlamadım gerçek
The equation h(t) = -16t^2? + 32t + 128 models the path of a ball thrown in the air from the top of a building. After how many seconds does the ball reach its maximum
height?
Answer:
1 second
Step-by-step explanation:
The number of seconds for the ball to reach the maximum height is t = 1 s
What is a function rule?The function rule is the relationship between the input or domain and the output or range. A relation is a function if and only if there exists one value in the range for every domain value.
A function is a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output.
Given data ,
Let the function be represented as A
Now , the value of A is
f ( x ) = -16t² + 32t + 128
The function h(t) gives the height of the ball at time t. The maximum height occurs at the vertex of the parabolic path, which is given by the formula:
t = -b / (2a)
where a = -16 and b = 32 are the coefficients of the quadratic term and the linear term, respectively.
Substituting these values into the formula, we get:
t = -32 / (2(-16)) = 1
Therefore, the ball reaches its maximum height after 1 second
Hence , the function is solved
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Work out the length of EF
Answer:
EF=2 cm
Step-by-step explanation:
Answer:
EF = 2 cm
Step-by-step explanation:
HK = HG + GK
10 = 4 + GK
GK = 10 - 4
GK = 6 cm
or
KG = 6cm
[tex] \triangle EGH \cong\triangle KGF... (given) [/tex]
[tex]\because EG\cong KG.. (cpct) [/tex]
[tex]\therefore EG = 6 cm [/tex]
[tex]\because FG\cong HG.. (cpct) [/tex]
[tex]\therefore FG = 4 cm [/tex]
EF = EG - FG (E-F-G)
EF = 6 - 4
EF = 2 cm
Write the following equation in standard form: x^5+ 2x^3 +6x +1/5
- ודם
Answer:
The equation is in standard form
Step-by-step explanation:
Hope this helps
ignore the green line
Answer:
What are the answer choices? please post it I really want to help
Step-by-step explanation:
Answer:
I don't get this but it might be -12 for K and -3 for I and -6 for J
Step-by-step explanation:
The weights of newborn babies are distributed normally, with a mean of approximately 105 Oz and a standard deviation of 15 Oz. If a newborn baby is selected at random. What if the probably that the baby weighs less than 150 Oz? help please!! Also I need to round answer to nearest thousandth
Answer:
0.999 = 99.9% probability that the baby weighs less than 150 Oz.
Step-by-step explanation:
When the distribution is normal, we use the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore 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 pvalue, we get the probability that the value of the measure is greater than X.
The weights of newborn babies are distributed normally, with a mean of approximately 105 Oz and a standard deviation of 15 Oz.
This means that [tex]\mu = 105, \sigma = 15[/tex]
What if the probabability that the baby weighs less than 150 Oz?
This is the pvalue of Z when X = 150. SO
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{150 - 105}{15}[/tex]
[tex]Z = 3[/tex]
[tex]Z = 3[/tex] has a pvalue of 0.999
0.999 = 99.9% probability that the baby weighs less than 150 Oz.
Bob has a total of 60 adventure cards for a game. The table shows the number of cards, c, distributed to p players. Which equation describes the
paltem in the table?
Does anyone know the answer for this ?
Answer:
A. c = 60 / p
Step-by-step explanation:
If p=2, the equation would read... c = 60 / 2, which mean c = 30. If c = 12, the equation would read... 12 = 60 / p, and p = 5, and so on, 20 = 60 / 3, and 15 = 60 / 4.
Pls help me with this
Answer:
the third one!
Step-by-step explanation:
Because it says, the SUM of the number, x (or z I can't really see it well) and 1/2, you must add those two together:
1/2 + x
Then it says those two numbers equal to 4, so it would look like this:
1/2 + x = 4
Because you are trying to isolate, and solve for x, you must SUBTRACT 1/2 from both sides of the equal sign:
1/2 + x = 4
-1/2 -1/2
1/2 minus 1/2 would result 0, so there would be x by itself. and 4 minus 1/2 would be 3 and a half ( 3 1/2), so x would be 3 1/2
x = 3 1/2
Hope this helped. If this is incorrect please specify so I can help :)
Chris received $50,000 from his grandparents as a graduation gift. So, he has decided to invest the money
to pay his living cost at a college, which is $3,000 a year. There are two options: a bond that pays 12% and
a CD that pays 5%. How much should he invest in the bond? [Please round your answer to 2 decimal places.]
Answer: $7142.86
Step-by-step explanation:
Let the amount to be invested in the bond be represented by y.
Based on this, the amount to be invested in the CD will be: = 50000 - y.
From the information given, yearly interest on bond is 12%, this will be:
= 12% × y = 0.12 × y = 0.12y
Also, interest on CD will be:
= 5% × (50000 - y)
= 0.05(50000 - y)
Then, the equation to get the amount to be invested in bond will be:
0.12y + 0.05(50000 - y) = 3000
0.12y + 2500 - 0.05y = 3000
0.12y - 0.05y = 3000 - 2500
0.07y = 500
y = 500/0.07
y = 7142.8571
y = 7142.86
The amount to be invested in bond will be $7142.86
A woman buys a pair of shoes at a sale. She pays $45, saving $15 on the normal price. The percentage discount on the pair of shoes is
Step-by-step explanation:
this is the answer i hope to get full mark
Mrs. Wilson bought 2 boxes of candy for the party. After filling the pinata and the candy dish, she had ⅚ of a box left. If she split the remaining candy into 10 goodie bags, how much of a box of candy did she put in each bag?
Answer:
Mrs Wilson put 1/12 of the box of candy in each goodie bag
Step-by-step explanation:
5/6 is kinda hard to divide into 10 pieces left like it is, so we turn 5/6 into 10/12 (they're both the same)
Then from here, it's easy
10/12 and 10 goodie bags
So 1/12 goes into each one
ORDER OF OPERATIONS
14 + 28 ÷ 4 − 2*4=
(64 + 6) ÷ 5 − 3*2=
(27 − 7) ÷ 2*2 =
5*2 × (20 ÷ 5) =
Answer:
pmdas perenthisis multiply divide add subtract
Step-by-step explanation:
Answer: 1. 13
2. 8
3. 20
4. 40
Step-by-step explanation:
An article describes a study in which a new type of ointment was applied to forearms of volunteers to study the rates of absorption into the skin. Eight locations on the forearm were designated for ointment application. The new ointment was applied to four locations, and a control was applied to the other four. How many different choices were there for the four locations to apply the new ointment
Answer:
There were 70 choices for the four locations to apply the new ointment
Step-by-step explanation:
The order in which the locations are chosen is not important. So we use the combinations formula to solve this question.
Combinations formula:
[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
How many different choices were there for the four locations to apply the new ointment
Four locations from a set of 8. So
[tex]C_{8,4} = \frac{8!}{4!(8-4)!} = 70[/tex]
There were 70 choices for the four locations to apply the new ointment
Will mark brainliest! Answer quickly please.