Answer:
The value of the expression for x=3 is 51
Step-by-step explanation:
Evaluating expressions
To evaluate a given expression, we simply substitute the value of the variables and complete the operations.
The expression to evaluate is:
P=3(2+5x)
We will evaluate for x=3:
P=3(2+5*3)
The product must be done first:
P=3(2+15)=3*17=51
The value of the expression for x=3 is 51
A biologist hopes to estimate the proportion of alligators in Florida that are adult. When sampling alligators, the biologist computes the one-proportion Z-interval going from 0.67 to 0.74 at 99% confidence. The margin of error for a 95% confidence interval would be:_____.
Using the z-distribution, as we are working with a proportion, it is found that the margin of error for a 95% confidence interval would be of 0.0008.
What is a confidence interval of proportions?A confidence interval of proportions is given by:
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which:
[tex]\pi[/tex] is the sample proportion.z is the critical value.n is the sample size.The margin of error is given by:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In this problem, we have a 95% confidence level, hence[tex]\alpha = 0.95[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.95}{2} = 0.975[/tex], so the critical value is z = 1.96.
Considering the 99% confidence interval, which has z = 2.575, the estimate and the sample size are given by:
[tex]\pi = \frac{0.67 + 0.74}{2} = 0.705[/tex]
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
[tex]0.74 - 0.705 = 2.575\sqrt{\frac{0.705(0.295)}{n}}[/tex]
[tex]0.035 = 2.575\sqrt{\frac{0.705(0.295)}{n}}[/tex]
[tex]0.035\sqrt{n} = 2.575\sqrt{0.705(0.295)}[/tex]
[tex]\sqrt{n} = \frac{2.575\sqrt{0.705(0.295)}}{0.035}[/tex]
[tex](\sqrt{n})^2 = \left(\frac{2.575\sqrt{0.705(0.295)}}{0.035}\right)^2[/tex]
[tex]n = 1126[/tex]
Hence, the margin of error is given by:
[tex]M = 1.96\sqrt{\frac{0.705(0.295)}{1126}} = 0.0008[/tex]
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Marilyn has two credit cards, D and E. Card D has a balance of $691. 64, and Card E has a balance of $1,014. 22. The minimum monthly payment on Card D is 3. 57% of the total balance, and the minimum monthly payment on Card E is 2. 51% of the total balance. How much greater is the minimum payment on Card E than on Card D? a. $18. 85 b. $8. 10 c. $11. 24 d. $0. 77 Please select the best answer from the choices provided A B C D.
By using basic concept of percentage we got that minimum payment on Card E is 0.77 than on Card D.
What is percentage ?Percentage is a number or ratio expressed as a fraction of 100.
Here given that
Marilyn has two credit cards, D and E. Card D has a balance of $691. 64, and Card E has a balance of $1,014. 22. The minimum monthly payment on Card D is 3. 57% of the total balance, and the minimum monthly payment on Card E is 2. 51% of the total balance
So minimum balance of Card D is 3.57 Percentage of $ 691.64
[tex]=3.54\times\frac{691.64}{100} =24.691548=24.69[/tex]
minimum balance of Card E is 2. 51 Percentage of $1,014. 22.
[tex]=2.51\times\frac{1014.22}{100} =25.456922=25.46[/tex]
Now we can see that minimum balance of Card E is 25.49-24.69=0.77 extra that on D
By using basic concept of percentage we got that minimum payment on Card E is 0.77 than on Card D.
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PLEASE HELP ME YOU HAVE TO MAKE AN EQUATION LIKE y=mx+b!!!
Answer:
5. y=-3x-3
6.y=5/3x+5
Step-by-step explanation:
you take the slope of the line and substitute it for x and take the y-intercept and sub it in for b
I hope this is right
Chin was shown the graph of a line that contained point (1, 7). He wrote f(x) = 4x + 3 to correctly represent the line. Which of these equations could represent the same line?
y – 7 = 3(x – 1)
y – 1 = 3(x – 7)
y – 7 = 4(x – 1)
y – 1 = 4(x – 7)
Answer: it’s the third option
Step-by-step explanation:
Answer:
y – 7 = 4(x – 1)
Step-by-step explanation:
Third option
d = 3xy − y I will MARK BRAINLIESTTTTTTTTTTT ASAP PLEAAAAASSSSSSEEEEEE
Answer:
Since
3
y
is constant with respect to
x
, the derivative of
3
x
y
with respect to
x
is
3
y
d
d
x
[
x
]
.
3
y
d
d
x
[
x
]
Differentiate using the Power Rule which states that
d
d
x
[
x
n
]
is
n
x
n
−
1
where
n
=
1
.
3
y
⋅
1
Multiply
3
by
1
.
3
y
Step-by-step explanation:
What is the area of the parallelogram?
11 in.
13 in
A. 290 in.^2
B. 286 in.^2
C. 143 in.^2
D. 71.5 in^2
Say you've got a credit score of 750, and you miss one credit card payment will
this impact your credit score MORE or LESS than if your original score was 650?
Why do you think this is the case?
The higher the score, the greater the decrease will be, since the greater the value of the decreased percentage will be greater too.
PercentagesGiven that you've got a credit score of 750, and you miss one credit card payment, to determine if this will impact your credit score MORE or LESS than if your original score was 650, the following calculation must be performed:
Suppose that a non-payment reduces the value of the score by 5%.100 - 5 = 95750 x 0.95 = 712.5 (-37.5)650 x 0.95 = 617.5 (-32.5)Thus, as can be seen, the higher the score, the greater the decrease will be, since the greater the value of the decreased percentage will be.
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What’s the scale factor?
A bag contains 15 marbles. The probability of randomly selecting a green marble is One-third. The probability of randomly selecting a green marble, replacing it, and then randomly selecting a red marble is StartFraction 1 over 15 EndFraction. What is the probability of randomly selecting a red marble? StartFraction 1 over 45 EndFraction StartFraction 1 over 5 EndFraction StartFraction 4 over 15 EndFraction Two-fifths.
The probability of randomly selecting a red marble will be P=1/45
What is probability?
The probability is defined as the chances of happening of any event it is defined as the ratio of required outcomes to the total number.
Now here is the question, it is given that
Total marbles in the bag = 15
probability of randomly selecting a green marble = [tex]\dfrac{1}{3}[/tex]
The probability of randomly selecting a green marble, replacing it, and then randomly selecting a red marble is [tex]\dfrac{1}{15}[/tex]
So, the probability of randomly selecting a red marble will be the product of the two probabilities.
[tex]P= \dfrac{1}{3} \times \dfrac{1}{15}[/tex]
[tex]P=\dfrac{1}{45}[/tex]
Thus the probability of randomly selecting a red marble will be
[tex]P= \dfrac{1}{45}[/tex]
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Find the equation of a line through (-3,5) and perpendicular to (1,-3) (6,1)
Step-by-step explanation:
simply use the formula as given in the image
I WILL GIVE BRAINLEST IF ANSWER IS CORRECT AND U ARE FIRST!!!!!!!!!!!!!!!!!!!!!!!!!
Sean is raising funds for an event at his school. He has collected $25 each from x
people, and he is still $100 short of his goal.
The expression that gives his goal is _____.
Answer:
25x-100= a
let a= the amount of money for his goal????
Step-by-step explanation:
10. Determine whether MN and RS are parallel, perpendicular, or neither. M(-2, 2) N(1.-3) R(-2, 1) S(3,4)
Answer:
3.4 and 1 - 3
Step-by-step explanation:
James has 16 baloons 1/4 of his balloons are red how many balloons deos he have
Answer:
16 balloons
But if your asking how many red balloons, then the answer is 4
Step-by-step explanation:
16 balloons because you asked how many balloons does he have
25 POINTS!!! simplify A=(1/2)(5x-2y)(4x+3y) please help and do step by step
Answer:
A= 10x^2 + 7/ 2 xy − 3y^2
Step-by-step explanation:
( 1/ 2) (5x−2y))(4x+3y)
= ( 1/ 2(5x−2y)) (4x+3y)
= ( 1/ 2 (5x−2y)) (4x) + ( 1/ 2 (5x−2y)) (3y)
= 10x^2 − 4xy + 15/ 2 xy − 3y^2
= 10x^2 + 7/ 2 xy − 3y^2
Flower pots cost $60.25 each.
Flower pot saucers cost $25 each.
A customer buys 4 of each.
How much change should the customer
receive from $500?
Answer:
159 dollars
Step-by-step explanation:
Multiply 60.25 and 25 four times and add them. Then subtract it from a 500.
how much money is 1 dollar, 3 quarters, 1 nickel, and 3 pennies
Answer:
1.83$
Step-by-step explanation:
LCD 7/8 and 1/4
Im stuck
help pls
Answer:
2
Step-by-step explanation:
It's the lowest common denominator si the answer is 2
help please
i don't understand
Answer:
I believe it has 9 edges, comment if u need me to explain more
Answer:
6
Hope it helps!
FInd the area of the figures
Answer:
What is that on
Step-by-step explanation:
Look at picture need help asap
Answer:
f^-1 = 3(x + 1)
Step-by-step explanation:
f(x) = (3 - x)/x
y = (3 - x)/x
x = (3 - y)/y
xy = 3 - y
xy + y = 3
y(x + 1) = 3
y = 3/(x + 1)
f^-1 = 3(x + 1)
Please help, I will give brainliest if you are correct
Answer:
In 24 years there will be 140 foxes
Step-by-step explanation:
In the given figure, x = 30°. What's the property of parallel lines used to find x?
which is the simplest form of the expresson...
Draw a picture or model to show the ratio 8:5 explain how you know your picture shows the ratio.
Answer:
draw a rectangle with side lengths 8 and 5. the ratio of the side lengths will be 8:5.
It is known that the point P(-9,18) belongs to the graph of the function y=k/x. Find k.
Answer:
[tex]k = (-162)[/tex].
Step-by-step explanation:
A point of the form [tex](x_{0},\, y_{0})[/tex] belongs to the graph of this function, [tex]y = k / x[/tex], if and only if the equation of this function holds after substituting in [tex]x = x_{0}[/tex] and [tex]y = y_{0}[/tex].
The question states that the point [tex](-9,\, 18)[/tex] belongs to the graph of this function. Thus, the equation of this function, [tex]y = k / x[/tex], should hold after substituting in [tex]x = (-9)[/tex] and [tex]y = 18[/tex]:
[tex]y = k / x[/tex].
[tex]18 = k / (-9)[/tex].
Solve this equation for the constant [tex]k[/tex]:
[tex]\begin{aligned}k &= 18 \times (-9) \\ &= (-162)\end{aligned}[/tex].
Thus, [tex]k = (-162)[/tex].
The scatterplot shows the relationship between the time a water balloon is filled from a running faucet and the volume of the balloon.
Which transformations would display linearized data? Check all that apply.
ln(Time), ln(Volume)
Time,
Time3, Volume3
Time, log(Volume)
Time3, Volume
Answer:
a,b,e
Step-by-step explanation:
Answer:
A; B; E
In(Time), In(volume) ; Time,3/volume ; Time^3, Volume
Step-by-step explanation:
Can someone help me figure this out
Answer:
k is 16 so now u would plug it in.
Step-by-step explanation:
3 is 65 and 9 is 65 because they are alternate interior angles
Your car gets 25 mi/gal around town and 30 mi/gal on the highway.
a. If 50% of the miles you drive are on the highway and 50% are around town, what
is your overall average miles per gallon?
b. If 60% of the miles you drive are on the highway and 40% are around town, what
is your overall average miles per gallon?
need work shown if possible im really confused
Answer:
Ok so what it is asking on part A is if your driving 50% on the highway which is 30 miles a gallon and 50% on around the town which is 25 miles a gallon then how many miles a gallon are you getting and the answer for that you need to first find what kind of problem it is and in this case you are working with percents so what you first want to do is multiply 50% to both 30 and 25 which will be 15 and 12.5 then add those together to get you answer now do the same for part B but instead of 50% it will be 60% and 40%.
Step-by-step explanation:
glad I could help
rectangle has sides that are 25 m, 25m, 9m, and 9 m. What is the rectangle’s width?
10pts
68m
9m
25m
18m
What is x?
5x - 1 = - 8
Answer:
x = -1.4, -7/5, or -1 2/5 (all same answer, just in different forms)
Step-by-step explanation:
Step 1: Add 1 to both sides.
[tex]5x-1+1=-8+1[/tex] [tex]5x=-7[/tex]Step 2: Divide both sides by 5.
[tex]5x/5=-7/5[/tex] x = -1.4, -7/5, or -1 2/5.Have a lovely rest of your day/night, and good luck with your assignments! ♡
Answer:
x = -7/5 or -1.4
Step-by-step explanation:
Given :-
5x - 1 = -8
To Find :-
x
Solving :-
5x - 1 = -8
5x = -7
x = -7/5 or -1.4
Solution :-
x = -7/5 or -1.4