Solution:
Given ratio - 3:5
1 part = 3
2 part = 5
Total no. of parts = 3 + 5 = 8 parts
400 / 8 = 50
3 * 50 = 150
5 * 50 = 250
I think that's it :D
What is the value of 3n-1 when n 20?
Answer:
59
Step-by-step explanation:
3*20-1=59
Two competing headache remedies claim to give fast-acting relief. An experiment was performed to compare the mean lengths of time required for bodily absorption of brand A and brand B headache remedies. Twelve people were randomly selected and given an oral dose of brand A and another 12 people were randomly selected and given an oral dose of brand B. The lengths of time in minutes for the drugs to reach a specified level in the blood were recorded. The mean and standard deviation for brand A was 21.8 and 8.7 minutes, respectively. The mean and standard deviation for brand B was 18.9 and 7.5 minutes, respectively. Past experience with the drug composition of the two remedies permits researchers to assume that both distributions are approximately Normal. Let us use a 5% level of significance to test the claim that there is no difference in the mean time required for bodily absorption.
Required:
Find or estimate the p — value of the sample test statistic.
Answer:
[tex]t = 0.875[/tex]
Step-by-step explanation:
Given
Brand A Brand B
[tex]n_ 1= 12[/tex] [tex]n_2 = 12[/tex]
[tex]\bar x_1 = 21.8[/tex] [tex]\bar x_2 = 18.9[/tex]
[tex]\sigma_1 = 8.7[/tex] [tex]\sigma_2 = 7.5[/tex]
Required
Determine the test statistic (t)
This is calculated as:
[tex]t = \frac{\bar x_1 - \bar x_2}{s\sqrt{\frac{1}{n_1} + \frac{1}{n_2}}}[/tex]
Calculate s using:
[tex]s = \sqrt{\frac{(n_1-1)*\sigma_1^2+(n_2-1)*\sigma_2^2}{n_1+n_2-2}}[/tex]
The equation becomes:
[tex]s = \sqrt{\frac{(12-1)*8.7^2+(12-1)*7.5^2}{12+12-2}}[/tex]
[tex]s = \sqrt{\frac{1451.34}{22}}[/tex]
[tex]s = \sqrt{65.97}[/tex]
[tex]s = 8.12[/tex]
So:
[tex]t = \frac{\bar x_1 - \bar x_2}{s\sqrt{\frac{1}{n_1} + \frac{1}{n_2}}}[/tex]
[tex]t = \frac{21.8 - 18.9}{8.12 * \sqrt{\frac{1}{12} + \frac{1}{12}}}[/tex]
[tex]t = \frac{21.8 - 18.9}{8.12 * \sqrt{\frac{1}{6}}}[/tex]
[tex]t = \frac{21.8 - 18.9}{8.12 * 0.408}}[/tex]
[tex]t = \frac{2.9}{3.31296}}[/tex]
[tex]t = 0.875[/tex]
In an arithmetic sequence Sn=n^2SN=N^2-2N .USE formula (Tn=Sn-Sn-1) to determine the value of Tn
Answer:
[tex]T_n = 2n -3[/tex]
Step-by-step explanation:
Given
[tex]S_n = n^2- 2n[/tex]
[tex]T_n = S_n - S_{n-1[/tex]
Required
Find [tex]T_n[/tex]
[tex]S_n = n^2- 2n[/tex]
Calculate [tex]S_{n-1[/tex]
[tex]S_{n-1} = (n-1)^2- 2(n-1)[/tex]
[tex]S_{n-1} = n^2-2n+1- 2n+2[/tex]
[tex]S_{n-1} = n^2-2n- 2n+1+2[/tex]
[tex]S_{n-1} = n^2-4n+3[/tex]
[tex]T_n = S_n - S_{n-1[/tex] becomes
[tex]T_n = n^2 - 2n - (n^2 - 4n +3)[/tex]
[tex]T_n = n^2 - 2n - n^2 + 4n -3[/tex]
[tex]T_n = n^2 - n^2- 2n + 4n -3[/tex]
[tex]T_n = 2n -3[/tex]
Help please!!!!!!!!!!
Answer:
6/8,
12/16,
24/32
48/64
96/128
192/256
384/512
Step-by-step explanation:
4. A savings account is started with $10,000. Calculate the
current value of the account in 5 years for both of the
following scenarios.
(a) Interest is earned at a rate of 2.3% and is compounded
monthly,
Answer:
$1217.50Step-by-step explanation:
Given:
Principal P = $10000Interest rate r = 2.3% = 0.023Compound number n = 12Time t = 5 yearsInterest amount is:
I = P(1+ r/n)^(nt) - PI = 10000(1 + 0.023/12)^60 - 10000 = $1217.50HELP it's Geometry HW I WILL GIVE BRAIN LIST AND 5 STARS
Find the volume please help
(Multiple choice)
Answer:
A. 72 mi³C. 261.8 mi³Step-by-step explanation:
Volume formula:
V = 1/3Bh, B- base area, h- heightQ1
V = 1/3*6²*6 = 72 mi³Correct choice is AQ2
V = 1/3*(π*5²)*10 = 261.8 mi³ (rounded)Correct choice is C46°
Х
X=_
degrees
PKEASE HELP
Answer:
x = 136°
Step-by-step explanation:
the third angle of the triangle is 180 - (90+46), which is 44. Because a straight line is 180°, x is 180 - 44. x = 136°
Answer:
look according to the exterior angle of triangle
Step-by-step explanation:
exterior angle = sum of other two angle (except adjacent angle of that exterior angle)
so x=90°+46°=136°
Solve for the unknown in the following diagram. Round the answer to two decimal places.
degrees
Answer:
x° ≈ 71.69°
Step-by-step explanation:
Divide. Write the quotient in lowest terms, 1 1/3 divided by 1 3/4. Please give a thorough explanation as i need help to figure out how to solve problems of this caliber.
Answer:
Step-by-step explanation:
convert mixed fractions to improper fractions
rule=a b/c=(ac+b)/c
(1 1/3)/(1 3/4)
(4/3)/(7/4)
rule for dividing fractions=(a/b)/(c/d)=(a/b)(d/c)
(4/3)(4/7) then you can multiply the numerators and denominators
16/21
Chef Ishaan is planning on opening a restaurant with a menu of 3 dishes: pesto chicken,kadai paneer, or bulgogi tacos. As a test run, he invites 7 friends to order a dish that he willmake and deliver to them. How many possible combinations of meals could Ishaan make
Answer:
Ishaan could make 7 possible combinations of meals.
Step-by-step explanation:
Number of subsets in a set of n elements:
The number of subsets in a set of n elements is given by: [tex]2^{n}[/tex]
In this question:
3 dishes.
[tex]2^{3} = 8[/tex]
only one, two of them, or all three of the dishes.
Considering the dishes, there are no empty set(there cannot be an order with no dishes), so 8 - 1 = 7
Ishaan could make 7 possible combinations of meals.
A boat travels 20 miles in 5 hours
(with a constant speed). How far can it
travel in 53 hours (with the same
speed)?
Answer:
212 miles
Step-by-step explanation:
the boat is going 4mph so in 53 hours it would be 212mi
HELP DONT UNDERSTAND THIS
Given:
A diagram of two triangles.
To find:
Check whether the triangles are similar or not.
Solution:
In triangle ABC and triangle UVT,
[tex]\angle A\cong \angle U[/tex]
[tex]\angle B\cong \angle V[/tex]
Two corresponding angles of the triangles are congruent. So,
[tex]\Delta ABC\sim \Delta UVT[/tex] (AA property of similarity)
Therefore, the given triangles are similar by AA property of similarity.
x in 5xy = 10 to solve the system
below.
x = 25 - y
5x + y =10
Answer:
Step-by-step explanation:
there are two ways to solve systems of equations, elimination or substitution, this looks like elimination would work quickly
x= 25 -y
x + y = 25 (eq 1)
5x + y = 10 (eq 2)
subtract 2 from 1
x + y = 25
-(5x + y = 10)
-4x + 0y = 15
-4x = 15
x = - 15/4
now plug in x into either starting equations and solve for y
-15/4 + y = 25
y = 25 + 15/4
y = 100/4 + 15 /4
y = 115 /4
y = 28 3/4
we have solved it :)
Answer:
5x+ y = 10 ---(eq1)
x = 25 - y ---(eq2)
substituting (eq2) in (eq1)
5(25 - y) + y = 10
125 - 5y + y = 10
125 - 4y = 10
-4y = 10 - 125
-4y = -115
4y = 115
y = 115/4 = 28.75
substituting value of y in (eq2)
x = 25 - 28.75
x = -3.75
A college basketball player makes 5/6 of his free throws. Assuming free throws are independent, the probability that makes exactly three of his next four free throws if
Answer:
if he got hops
Step-by-step explanation:
x/64 = 2 im being timed
Answer:
128
Step-by-step explanation:
x/64=2
x=64*2
x=128
Answer:
=128
Step-by-step explanation:
64=2
64⋅64=64⋅2
64⋅64=64⋅2
=64⋅2
=64⋅2
=128
hope it helps <3
1) Ms. Bonanno goes to the gym every 2 days. Ms. Zabo goes to the gym every
3 days. They both went to the gym on May 1. What is the next day Ms.
Bonanno and Ms. Zabo will be at the gym at the same day?
Answer:
may 6th
Step-by-step explanation:
2+3=5 so if they when on the 1st and 2 +3=5 1+5=6
HELP ME ILL GIVE BRAINLIEST
Which of the following factors can affect the strength of electric or magnetic fields? (YOU MAY SELECT MORE THAN ONE ANSWER)
Strength of the magnet/electric charge
The material that is creating the field
The mass of the object creating the field
The distance from the source of the field
Answer:
It's strength of the magnet/electric charge and the distance from the soucre of the field
Plz help ASAP 20 points 10. What is the equation of a circle with radius, r = 4, and the center at (0,0)?
A.X² + y² = 4
B.22 + y2 = 16
C.2 - 4)+ (y – 4) = 4
B.(.2 - 4)? + (y – 4)2 = 16
Answer:
a
Step-by-step explanation:
the equation for a circle centered at orgin is x^2+y^2=r where r is the radius. multiplying, adding, or subtracting any numbers to the x and y components such as the other choices here causes the circle to be translated about the graph.
Solve showing all the steps
Answer:
Step-by-step explanation:
Is the second exponent 6, or 6x ?
If it is 6x, then x = -½
two cars drive on the same highway in the same direction the graphs show the distance d of each one as a function of time t which car drives faster explain how you know
Answer:
lol dont know
Step-by-step explanation:
the differences between 60 and 11
the numerical expression is?
Darla wants to buy a dress for $20 and some shirts for $12 each. She has $80. Write and solve an inequality to find the number of shirts she can buy.
Answer:
5 shirts for 12 is 60 dollars
20 dollar dress plus 60 is 80
Step-by-step explanation:
Determine the vertex of the function f(x) = 3x2 – 6x + 13
Identify the values of a and b
Find the x-coordinate of the vertex.
Find the y-coordinate by evaluating the function at the x-value found in
the previous step.
Line k is the perpendicular bisector of pq and point r which of the following statements must be true?
Answer:
question incomplete.
Step-by-step explanation:
Explain why the denominator does not change when you are counting by the
unit fraction 1
··4
to reach 3
··4 .
Answer:
Yes, when dividing a whole number by a unit fraction, multiplying the whole number by the unit fraction's denominator always works! a divided by (1/b) = a times (b/1) = (a/1) times (b/1) = ab/1 = ab. Have a blessed, wonderful day! Comment on Ian Pulizzotto's post “Yes, when dividing a whole number by a unit fracti...”
If a(x) = -9 - 2x, what is an equation for a-'(x)?
O A. a-1
= -x - 7
O
B. a-'(x) = 2 - 9
d
C.
1
a
(2)
1
-9 - 2:3
о
D.
1
-
9
a
=
2
Answer:
The answer should be A..
CAN SOMEONE ANSWER THIS! Find the lateral surface area of the cylinder. Round your answer to the nearest hundredth. A) 315.04 in2 B) 370.62 in2 C) 395.84 in2 D) 408.92 in2
Answer:
C) 395.84 in^2
Step-by-step explanation:
I took the test
Find the volume of the composite figure. First, find the volume of the triangular prism. 4 cm Triangular prism Volume = [?] cm 5 cm 5 cm 6 cm Rectangular prism Volume = [ ] cm? 10 cm Total Volume of Composite Figure = [ ]cm 8 cm Enter
Answer: See attached image.
The total volume of the composite figure is 530 cm³.
To find the volume of the composite figure, we need to calculate the volumes of the individual prisms and then add them together.
Triangular Prism:
The volume of a triangular prism is given by the formula:
Volume = base area × height
The base of the triangular prism is a triangle with a base of 5 cm and a height of 5 cm.
Therefore, the base area is:
Base area = (1/2) × base × height = (1/2) × 5 cm × 5 cm = 12.5 cm².
Now, we can calculate the volume of the triangular prism:
Triangular prism volume = base area × height = 12.5 cm² × 4 cm = 50 cm³.
So, the volume of the triangular prism is 50 cm³.
Rectangular Prism:
The volume of a rectangular prism is given by the formula:
Volume = length × width × height.
Given the dimensions of the rectangular prism as length = 6 cm, width = 10 cm, and height = 8 cm, we can calculate its volume:
Rectangular prism volume = length × width × height = 6 cm × 10 cm × 8 cm = 480 cm³.
So, the volume of the rectangular prism is 480 cm³.
Total Volume of Composite Figure:
To find the total volume of the composite figure, we add the volumes of the individual prisms:
Total Volume = Triangular prism volume + Rectangular prism volume = 50 cm³ + 480 cm³ = 530 cm³.
Therefore, the total volume of the composite figure is 530 cm³.
Learn more about composite figure click;
https://brainly.com/question/27234680
#SPJ6
m = 4 b = 3 slope form
Answer:
y=4x+3
Step-by-step explanation:
Slope form is y=mx+b so using your data points the slope form is
y=4x+3
