Answer:
Fraction of total amount each person will get = [tex]\frac{1}{6}[/tex]
Step-by-step explanation:
Let the amount of potatoes a bag can hold = a pounds
If the amount shared by the Rameen and her friends is [tex]\frac{2}{3}a[/tex] pounds,
Amount of potatoes each person will get = [tex]\frac{\text{Total amount of potatoes shared}}{\text{Number of persons}}[/tex]
= [tex]\frac{\frac{2}{3}a }{4}[/tex]
= [tex]\frac{1}{6}a[/tex] pounds
Fraction of total amount each person will get = [tex]\frac{\text{Amount of potatoes each person will get}}{Total amount of potatoes}[/tex]
= [tex]\frac{\frac{1}{6}a }{a}[/tex]
= [tex]\frac{1}{6}[/tex]
Mel randomly selects a coin 150 times selecting a dime 30 times, the experimental probability is 1/5 what is the theoretical probability?
Answer:
Step-by-step explanation:
We can calculate probability by looking at the outcomes of an experiment or by reasoning What is the theoretical probability that a fair coin lands on heads? Choose 1 answer: Random numbers for experimental probability. This means that if we roll a die 60 times we can expect each of the six faces to come up.
Hope this helps.
Please give me brainliest if it is correct
Is 0.5 meter high or low?
Please hurry:))!
Answer:
It depends what you are comparing that height to, but in general 0.5 meters is low.
What is the y-intercept of the line shown?
The y-intercept of the line shown is -4.
help will give brainliest if right
BTW the last answer choice is D. 1
A regular hexagonal prism has a base area of 84.3ft^2 and a Volume of 337.2ft^3. What is the height of the prism?
Answer:
Height = 4 ft
Step-by-step explanation:
Base are : 84.3 ft square
Volume : 337.2 square cuboid
A study in which conditions are under the direct control of the investigator.
Answer:
Experimental study
Step-by-step explanation:
please answer this !!!!
Answer:
7
Step-by-step explanation;
Rewriting our equation with parts separated:
4+1/7+2+6/7
Solving the whole number parts:
4+2=6
Solving the fraction parts:
1/7+6/7=7/7 (7/7 is a whole number) But first before simplifing, reduce the fraction, 7/7=1/1. Then 1/1=1.
Combining the whole and fraction parts:
(Solving the whole number parts - 6)
(Solving fraction parts - 1)
6+1 = 7PLEASEE HELPPP!!! PLEASEE ITS DUE TONIGHT!!
Answer:
umm actually x is equal to 15 cause
5 (15) + 11 = 86 try solving it hope it helps
cause all you had to do is find the value of X
thank me later if it's right, kk?
Question
What is the value of x in the diagram?
A. x=2
B. x=3
C. x=5
D. X=8
Answer:
B
Step-by-step explanation:
Suppose Salma borrows $3500 at an interest rate of 9% compounded each year.
Assume that no payments are made on the loan.
Follow the instructions below. Do not do any rounding.
(a) Find the amount owed at the end of 1 year.
si
(b) Find the amount owed at the end of 2 years.
$
?
Answer:
(a) The amount owed At the end of 1 year is $3,815
(b) The amount owed At the end of 2 years is $4,158.35
Step-by-step explanation:
The given parameters on the loan amount are;
The amount Salma borrows = $3,500
The interest rate at which the loan is borrowed, r = 9% compound interest annually
The assumption are that no payments are made out of the loan
(a) The formula for finding a compound interest loan amount, 'A' is given as follows;
[tex]A = P\cdot \left(1 + \dfrac{r}{n} \right)^{n\cdot t}[/tex]
Where;
A = The amount owed
P = The principal (the initial amount borrowed)
r = The interest rate = 9% = 0.09
n = The number of times the interest is paid per unit period, 't' = 1
t = The number of periods of the loan = Number of years
At the end of 1 year, t = 1, we get;
[tex]A = 3,500 \times \left(1 + \dfrac{0.09}{1} \right)^{1 \times 1} = 3815[/tex]
The amount owed, A = $3,815 at the end of 1 year
(b) The amount owed at the end oy 2 years is found by plugging in t = 2 years into the formula for finding the amount owed by the borrower, therefore, we get;
[tex]A = 3,500 \times \left(1 + \dfrac{0.09}{1} \right)^{1 \times 2} = 4,158.35[/tex]
At the end of 2 years, the amount owed, A = $4,158.35
PLEASE HELP WITH THISS.......
GF = ½ RT
Step-by-step explanation:
SG=GR (given)
SF=FT (given)
line GF is a midpoint in triangle RST, so it is therefore ½ the angle parallel to it(viz. RT)
Pls pls pls answer I need this done before 10;50
Answer:
1/12
Step-by-step explanation:
. Government Waste In a Gallup poll 513 national adults aged 18 years or older who consider themselves to be Republican were asked, "Of every tax dollar that goes to the federal government in Washington, D.C., how many cents of each dollar would you say are wasted?" The mean wasted was found to be 54 cents with a standard deviation of 2.9 cents. The same question was asked of 513 national adults aged 18 years or older who consider themselves to be Democrat. The mean wasted was found to be 41 cents with a standard deviation of 2.6 cents. Construct a 95% confidence interval for the mean difference in government waste, mR - mD. Interpret the interval.
Answer:
Part A
The 95% confidence interval is approximately 12.66 ≤ [tex]m_R[/tex] - [tex]m_D[/tex] ≤ 13.34
Part B
We are 95% confident that the true difference in the mean amount of waste per dollar stated by the two categories of adults is larger than zero and it is approximately between 12.66 and 13.34
Step-by-step explanation:
Part A
The given parameters are;
The mean amount adults that consider themselves Republican say is wasted for every dollar, [tex]m_R[/tex] = 54 cents
The standard deviation of the statistics, s₁ = 2.9 cents
The number of respondents in the group, n₁ = 513
The mean amount adults that consider themselves Democrats say is wasted for every dollar, [tex]m_D[/tex] = 41 cents
The standard deviation of the statistics, s₂ = 2.6 cents
The number of respondents in the group, n₂ = 513
The F-test, F = s₁²/s₂² = 2.9²/2.6² = 1.244
The critical-t, t* = 1.962
F ≤ t*, therefore, we pool the data
[tex]s_p =\sqrt{\dfrac{\left ( n_{1}-1 \right )\cdot s_{1}^{2} +\left ( n_{2}-1 \right )\cdot s_{2}^{2}}{n_{1}+n_{2}-2}}[/tex]
[tex]s_p =\sqrt{\dfrac{\left ( 513-1 \right )\cdot 2.9^{2} +\left ( 513-1 \right )\cdot 2.6^{2}}{513+513-2}} = \sqrt{7.585}[/tex]
The 95% confidence interval is given by the following formula;
[tex]\left (m_R- m_D \right )\pm t^* \cdot s_p \cdot\sqrt{\dfrac{1}{n_{1}}+\dfrac{1}{n_{2}}}[/tex]
The test statistic, is given as follows;
[tex]t = \dfrac{m_R - m_D}{s_p \times\sqrt{ \dfrac{1}{n_1} + \dfrac{1}{n_2}} }[/tex]
Therefore;
[tex]t = \dfrac{54 - 41}{\sqrt{7.585} \times\sqrt{ \dfrac{1}{513} + \dfrac{1}{513}} } \approx 75.598[/tex]
Given that the test statistic, t = 75.598 > The critical-t, t* = 1.962, we reject the null hypothesis, therefore, there is significant statistical evidence to suggest that there is a difference in the mean stated by the two sets
[tex]s_p =\sqrt{\dfrac{\left ( 513-1 \right )\cdot 2.9^{2} +\left ( 513-1 \right )\cdot 2.6^{2}}{513+513-2}} = \sqrt{7.585}[/tex]
[tex]C. I. = \left (54- 41 \right )\pm 1.962 \times \sqrt{7.585} \times \sqrt{\dfrac{1}{513}+\dfrac{1}{513}}[/tex]
The 95% confidence interval, C.I. ≈ 12.66 ≤ [tex]m_R[/tex] - [tex]m_D[/tex] ≤ 13.34
Part B
From the 95% confidence interval, we are 95% confident that the true difference in the mean amount adult who consider themselves Republicans say politicians waste and the true difference in the mean amount adult who consider themselves Democrats say politicians waste is between 12.66 and 13.34
Given that there is no '0' in the range of values in the 95% confidence for the difference in mean from the two groups, difference in the mean amount of waste per dollar observed by the two categories of adults.
Which of these two kites we use more paper to make? Circle your answer?
Jamie Drew snowflake on graph paper. What is the area and square units?
Pleas do one or both of these and explain. I don't know how to do this and really need to know how!!
Answer:
I believe both kites use the same amount of paper
Step-by-step explanation:
They both have equal measures but I'm not too sure
Write a linear function f with f(2)=-2 and f(1)=1
Answer:
y = -3x + 4
Step-by-step explanation:
x y
0 4
1 1
2 -2
Going down 3 for every increase of x by 1, when x = 0, y = 4
PLEASE HELP MEH I'M STRUGGLIN YmY
The construction of a tangent to a circle given a point outside the circle can be justified using the second corollary to the inscribed angle theorem. An alternative proof of this construction is shown below. Complete the proof.
fill up ALL the empty spaces
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
Answer: I think you are asking for #2 = CD = AD
Explanation:
I hope this helped!
<!> Brainliest is appreciated! <!>
- Zack Slocum
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
Answer:
hope this helps you.look it once.
PLZ HELP ASAP. WILL GIVE BRAINLIEST IF CORRECT
What is the length of the unknown side of the right triangle using the Pythagorean Theorem?
7
24
25
31
Answer:
25 is the answer.
Step-by-step explanation:
Answer:
25 because 7 squared plus 24 squared is 625 then you find the square root which is 25.
help me please. Very much appreciated
Answer:
A = 23.2 mm²
Step-by-step explanation:
The area (A) of a triangle is calculated as
A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the perpendicular height )
Here b = 8 and h = 5.8 , then
A = 0.5 × 8 × 5.8 = 4 × 5.8 = 23.2 mm²
BRAINLIEST TO CORRECT
Answer:
57.6 inches long
Step-by-step explanation:
First, we need to find out how much the nake grew.
144 x 0.6
= 86.4
Now subtract that from its current height.
144 - 86.4
= 57.6
Answer:
it was 57.6 inches long
Step-by-step explanation:
snake length
144 inches
pervious length is 60% shorter than current length
60% of 144
144 × 60 ÷ 100 = 86.4 inches
if it was 60% shorter then current
144 - 86.4 = 57.6 inches
Write the equation in slope-intercept form.
8y - 3x = 16
Find the lateral surface 14ft area of the 2ft cylinder. Round your answer to the nearest tenth if necessary.
Answer:
616 square feet
Step-by-step explanation:
Lateral surface area of a cylinder can be determined by;
Lateral surface area = 2[tex]\pi[/tex]rh
where: r is its radius, and h is its height.
Given in the question that the height of the cylinder is 14 feet and of radius 2 feet, then;
Lateral surface area = 2[tex]\pi[/tex]rh
= 2 x [tex]\frac{22}{7}[/tex] x 2 x 14
= 2 x 22 x 2 x 7
= 616
Lateral surface area = 616 square feet
Thus, the lateral surface area of the cylinder is 616 square feet.
Find the mean of 9,5,10 graphically will mark Brainliest if correct ( no files or links)
Answer:
the answer to the question is 8
A jet ski depreciates at 11% of its original value each year. If the jet ski was $8,000 at its time of purchase, what is the value of the jet ski after 5 years?
Answer: $4467.25
Step-by-step explanation:
Exponential decay problem. 8000(0.89)^5.
100-11 = 89
89/100= 0.89, that is how we got the decimal.
Then, solve.
0.89 * 0.89 * 0.89 * 0.89 * 0.89 = 0.5584059449
0.5584059449 * 8000 = 4467.2475592
Round the decimal part to the nearest hundredth, which is $4467.25.
Please answer both A. and B.
Thank you!
Answer: (b)-175 ft
Step-by-step explanation:
In [tex]\triangle ABC\ \text{and}\ \triangle CDE[/tex]
[tex]\angle ACB=\angle ECD\quad [\text{vertically opposite angles}]\\\angle ABC=\angle CDE\quad [\text{Each angle is }90^{\circ}]\\\therefore \triangle ABC \sim\ \triangle CDE\quad [\text{by AA similarity criteria}][/tex]
(ii)for similar triangles, we can write
[tex]\Rightarrow \dfrac{100}{d}=\dfrac{4x}{7x}\\\\\Rightarrow d=100\times \dfrac{7}{4}=175\ ft[/tex]
Pleas help .. Please help ..
Answer:
B is the correct answer
Answer:
D.
Step-by-step explanation:
7×3 = 21.
t × t = t².
y = y.
21t²y.
hope it helps. :)
Two people start biking from the same point. One heads east at 13 mph, the other south at 18 mph. What is the rate at which the distance between the two people is changing after 25 minutes and after 35 minutes? What is the rate at which the distance between the two people is changing after 25 minutes?
Answer:
[tex]22.21\ \text{mph}[/tex]
[tex]22.2\ \text{mph}[/tex]
Step-by-step explanation:
[tex]\dfrac{da}{dt}=13\ \text{mph}[/tex]
[tex]\dfrac{db}{dt}=18\ \text{mph}[/tex]
[tex]\dfrac{dc}{dt}[/tex] = Rate at which the distance between the two people is changing
At 25 minutes
[tex]a=13\times \dfrac{25}{60}=5.417\ \text{miles}[/tex]
[tex]b=18\times \dfrac{25}{60}=7.5\ \text{miles}[/tex]
[tex]c=\sqrt{5.417^2+7.5^2}\\\Rightarrow c=9.25\ \text{miles}[/tex]
Distance between the two people is
[tex]c^2=a^2+b^2[/tex]
Differentiating with respect to time we get
[tex]c\dfrac{dc}{dt}=a\dfrac{da}{dt}+b\dfrac{db}{dt}\\\Rightarrow \dfrac{dc}{dt}=\dfrac{a\dfrac{da}{dt}+b\dfrac{db}{dt}}{c}\\\Rightarrow \dfrac{dc}{dt}=\dfrac{5.417\times 13+7.5\times 18}{9.25}\\\Rightarrow \dfrac{dc}{dt}=22.21\ \text{mph}[/tex]
Distance between the two people is changing at a rate of [tex]22.21\ \text{mph}[/tex].
At 35 minutes
[tex]a=13\times \dfrac{35}{60}=7.583\ \text{miles}[/tex]
[tex]b=18\times \dfrac{35}{60}=10.5\ \text{miles}[/tex]
[tex]c=\sqrt{7.583^2+10.5^2}\\\Rightarrow c=12.95\ \text{miles}[/tex]
Distance between the two people is
[tex]c^2=a^2+b^2[/tex]
Differentiating with respect to time we get
[tex]c\dfrac{dc}{dt}=a\dfrac{da}{dt}+b\dfrac{db}{dt}\\\Rightarrow \dfrac{dc}{dt}=\dfrac{a\dfrac{da}{dt}+b\dfrac{db}{dt}}{c}\\\Rightarrow \dfrac{dc}{dt}=\dfrac{7.583\times 13+10.5\times 18}{12.95}\\\Rightarrow \dfrac{dc}{dt}=22.2\ \text{mph}[/tex]
Distance between the two people is changing at a rate of [tex]22.2\ \text{mph}[/tex].
A right triangle and two of its side lengths are shown below which one of the following measurements is the length of the hypotenuse
Answer:
20 units
Step-by-step explanation:
By applying Pythagoras theorem in the given right triangle,
(Hypotenuse)² = (leg 1)² + (leg 2)²
(Hypotenuse)² = (12)² + (16)²
Hypotenuse = [tex]\sqrt{144+256}[/tex]
= [tex]\sqrt{400}[/tex]
= 20 inches
Therefore, measure of the hypotenuse of the given right triangles is 20 inches.
The square root of 17 is between the what two whole numbers? (just list them with a comma in between them.)
Answer:
17 lies between 16 and 25. So√17 lies between √16 and √25. The prime factorization method is used to write a square root of a non-perfect square number in the simplest radical form.
Answer:
The answer is 16,25
give the value of x in these equivalent ratio
x:77 -7:11
Step-by-step explanation:
[tex]x: 77 = 7 : 11 \\x = \frac{77 \times 7}{11} = \\ = 49[/tex]
From the given equivalent ratio the value of x is the number 49.
What is the ratio?The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity.
The given equivalent ratios are x:77=7:11
"Two or more ratios that reflect the same relation or comparison of numbers are known as equivalent ratios," according to the definition of the equivalent ratio. The idea of corresponding fractions is comparable. The term "proportion" also refers to the equivalence of two ratios.
Here, x/77 = 7/11
Multiply both the numerator and denominator of the ratio 7/11 by 7, we get 49/77
Now, x/77 = 49/77
So, x=49
Therefore, the value of x is 49.
To learn more about the ratio visit:
brainly.com/question/13419413.
#SPJ2
The radius of a circle is 6 m. Find its area in terms of π.
Answer:
A=πr^2
22/7×6×6
=113 1/7