Explanation
when you have a division of integers, with exponents,do:
\(\frac{a^m}{a^n}=a^{m-n}\)Step 1
Let
a=11
m=x
n=y
Step 2
replace
\(\begin{gathered} \frac{a^m}{a^n}=a^{m-n} \\ \frac{11^x}{11^y}=11^{x-y} \end{gathered}\)4
Jared has a collection of 90 movies on DVD. If
46 of the movies are comedies, 26 are drama,
and the rest are science fiction, what percent of
the movies are science fiction?
A) 18
B) 20
C) 28
D) 32
Answer:
A) 18
Step-by-step explanation:
add 46 and 26, you get 72
now, subtract 72 from 90 and what do you get?
........ not gonna tell me huh? XDD
you get 18, right???
to make sure you calculated correctly, add everything together
46 + 26 + 18 = 90!!!
yay! so from what ive just showed you, what can you determine???
that 18 of the movies are science fiction.
Good luck and I hope this helped, if so... would you please mark me as brainliest?? Thanks!!
A nationwide sample of influential Republicans and Democrats was asked as a part of a comprehensive survey whether they favored lowering environmental standards so that high-sulfur coal could be burned in coal-fired power plants. The results were: At the .02 level of significance, can we conclude that there is a larger proportion of Democrats in favor of lowering the standards? Determine the p-value.
Answer:
We conclude that there is an equal or larger proportion of Republicans in favor of lowering the standards.
Step-by-step explanation:
The complete question is: A nationwide sample of influential Republicans and Democrats was asked as a part of a comprehensive survey whether they favored lowering environmental standards so that high-sulfur coal could be burned in coal-fired power plants. The results were:
Number sampled: 1,000 (republican) , 800 (democrats)
Number in favor: 200 (republican) , 168 (democrats)
At the 0.02 level of significance, can we conclude that there is a larger proportion of Democrats in favor of lowering the standards? Determine the p-value.
Let \(p_1\) = proportion of Republicans in favor of lowering the standards.
\(p_2\) = proportion of Democrats in favor of lowering the standards.
SO, Null Hypothesis, \(H_0\) : \(p_1 \geq p_2\) {means that there is an equal or larger proportion of Republicans in favor of lowering the standards}
Alternate Hypothesis, \(H_A\) : \(p_1 < p_2\) {means that there is a larger proportion of Democrats in favor of lowering the standards}
The test statistics that would be used here Two-sample z-test for proportions;
T.S. = \(\frac{(\hat p_1-\hat p_2)-(p_1-p_2)}{\sqrt{\frac{\hat p_1(1-\hat p_1)}{n_1}+\frac{\hat p_2(1-\hat p_2)}{n_2} } }\) ~ N(0,1)
where, \(\hat p_1\) = sample proportion of Republicans in favor of lowering the standards = \(\frac{200}{1000}\) = 0.20
\(\hat p_2\) = sample proportion of Democrats in favor of lowering the standards = \(\frac{168}{800}\) = 0.21
\(n_1\) = sample of Republicans = 1000
\(n_2\) = sample of Democrats = 800
So, the test statistics = \(\frac{(0.20-0.21)-(0)}{\sqrt{\frac{0.20(1-0.20)}{1000}+\frac{0.21(1-0.21)}{800} } }\)
= -0.52
The value of z test statistics is -0.52.
Now, P-value of the test statistics is given by the following formula;
P-value = P(Z < -0.52) = 1 - P(Z \(\leq\) 0.52)
= 1 - 0.6985 = 0.3015
Now, at 0.02 significance level, the z table gives a critical value of -2.054 for left-tailed test.
Since our test statistic is more than the critical value of z as -0.52 > -2.054, so we have insufficient evidence to reject our null hypothesis as it will not fall in the rejection region due to which we fail to reject our null hypothesis.
Therefore, we conclude that there is an equal or larger proportion of Republicans in favor of lowering the standards.
This is a tough one that I solved, I wanted to see how everyone else solves it.
take your time, I don't need an answer straight away because I solved it... and made it.
14+y+x+z+a+b+c=1203
x=z+23
z=a+102
a=b-42+c
b=c+82
c=y+20
a=2c+40 z=2c+142 x=2c+165 b=c+82 y=c-20
14+2c+40+2c+142+2c+165+c+82+c-20=1203
c=86 2/3
y=66 2/3
b=168 2/3
x=338 1/3
z=315 1/3
a=213 1/3
HELP I KEEP GETTING WRONG ANSWERS!!!!!
Answer:
B) 65
Step-by-step explanation:
Plug in the corresponding numbers to the corresponding variables:
w = -4 ; v = 5 ; u = 2
4w² - v + 3u
4(-4²) - (5) + 3(2)
Remember to follow PEMDAS.
PEMDAS =
Parenthesis
Exponents
Multiplications
Division
Addition
Subtraction
& is the order of operation.
First, solve the power:
4(-4²) - (5) + 3(2)
(-4²) = (-4)(-4) = 16
Next, multiply:
4(16) - 5 + 3(2)
64 - 5 + 6
Finally, combine the terms:
(64 + 6) - 5
70 - 5
65
B) 65 is your answer.
~
The functions f(x) = −(x − 1^)2 + 5 and g(x) = (x + 2)^2 − 3 have been rewritten using the completing-the-square method. Apply your knowledge of functions in vertex form to determine if the vertex for each function is a minimum or a maximum and explain your reasoning.
If we write a quadratic in vertex form:
\(y=a(x-h)^2+k\)
Then:
\(\bold{a}\) \(\longrightarrow\) is the coefficient of \(x^2\)
\(\bold{h}\) \(\longrightarrow\) is the axis of symmetry.
\(\bold{k}\) \(\longrightarrow\) is the max/min value of the function.
Also:
If \(a > 0\) then the parabola will be of the form \(\cup\) and will have a minimum value.
\(a < 0\) then the parabola will be of the form \(\cap\) and will have a minimum value.
For the given functions:
\(a < 0\)
\(f(x)=-(x-1)^2+5\) this has a maximum value of \(\bold{5}\)
\(a > 0\)
\(f(x)=(x+2)^2-3\) this has a minimum value of \(\bold{-3}\)
6TH GRADE MATH SOMEONE PLEASE GIVE ANSWER TYSM
The surface area of the vase is 168.4 square inches.
What is a cylinder?
A cylinder is a three-dimensional geometric shape that has two congruent circular bases connected by a curved surface.
The surface area of the cylindrical vase can be found using the formula SA = B + Ph, where B is the area of the base, P is the perimeter of the base, and h is the height of the vase. Since the vase has a circular base, the area of the base can be found using the formula for the area of a circle: B = πr², where r is the radius of the base.
The diameter of the vase is 4.3 inches, so the radius is half of that, or 2.15 inches. The area of the base is therefore:
B = πr² = 3.14 * (2.15)² ≈ 14.46 square inches.
The perimeter of the base is the circumference of the circle, which can be found using the formula C = 2πr:
P = 2πr = 2 * 3.14 * 2.15 ≈ 13.53 inches.
Now we can use the formula SA = B + Ph to find the surface area of the vase:
SA = B + Ph = 14.46 + 13.53 * 11 ≈ 168.39 square inches.
Rounding to the nearest tenth of a square inch, the surface area of the vase is approximately 168.4 square inches.
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If molly has a rope that is 191/2 long. She needs pieces of rope that are 2 1/6 feet long for a project. How many pieces of rope can she cut from the longer rope?
Answer:
Assuming you meant 19 1/2 then the answer would be 9.
Step-by-step explanation:
Peter compared dog food prices, to find the better deal. The 25-pound
ag cost $30.00, and the 15-pound bag cost $17.85. Which pound bag is
me better deal?
Answer:
25 pound bag is the better deal
Step-by-step explanation:
The concept of best-, worst-, and average-case analyses extends beyond algorithms to other counting problems in mathematics. Recall that the height of a binary tree is the number of edges in the longest path from the root to a leaf. Find the best-case height of a binary tree with seven nodes.
the height of a binary tree is the number of edges in the longest path from the root to a leaf.The best-case height of a binary tree with seven nodes is 3.
A binary tree is a type of tree structure consisting of nodes that are connected by edges. The number of edges in the longest path from a binary tree's root to a leaf determines the tree's height.In the best-case scenario, the binary tree is perfectly balanced and each node has exactly two children. With seven nodes, the best-case height is three because each node has two children and three edges connect the root node to the leaves. This means that the longest path from the root to a leaf is three edges, resulting in a height of three.
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Asahi also has a sink that is shaped like a half-sphere. The sink has a volume of 8000/3*π in^3. One day, his sink clogged. He has to use one of two conical cups to scoop the water out of the sink. The sink is completely full when Asahi begins scooping. Hint: you may need to find the volume for both.
PART A Cup G has a diameter of 4 in. and a height of 8 in. Find the volume of Cup G.
PART B How many cups of water must Asahi scoop out of the sink with Cup G to empty it? Round the number of scoops to the nearest whole number, and make certain to show your work.
PART C Cup H has a diameter of 8 in. and a height of 8 in. Find the volume of Cup H.
PART D How many cups of water must he scoop out of the sink with Cup H to empty it? Round the number of scoops to the nearest whole number, and make certain to SHOW YOUR WORK VERY IMPORTANT
PLEASE HURRY UP AND DUE THIS FIRST ONE TO DO IT RGHT GETS BRAINLYS WORTH 100PTS
Answer:
Part A is 33.5 inches and Part C is 134 inches.
Step-by-step explanation:
Answer:Go to help lab or try using the tool kit provided :)
Step-by-step explanation:
Solve for x: 5x+2(3x+7)=3(x-6)
Answer:x=-4
Step-by-step explanation:
The accompanying data set Ch2_Q20_Data_File.xlsx Download Ch2_Q20_Data_File.xlsx contains five variables, x1, x2, x3, x4, and x5. There are missing values in the data set. Handle the missing values using the simple mean imputation strategy for numerical variables and the predominant category strategy for categorical variables. (worth .25 points each)
a. How many missing values are there for each variable?
Number of missing values in x1
Number of missing values in x2
Number of missing values in x3
Number of missing values in x4
Number of missing values in x5
b. What are the values for imputing missing values in x1, x2, x3, x4, and x5? (For x3, x4, and x5 round your answers to 4 decimal places.)
The value for imputing missing values in x1
The value for imputing missing values in x2
The value for imputing missing values in x3
The value for imputing missing values in x4
The value for imputing missing values in x5
Number of missing values in x1: 3 , Number of missing values in x2: 5 , Number of missing values in x3: 4 , Number of missing values in x4: 2 and Number of missing values in x5: 5 missing values are there for each variable.
What is variable?A variable is a name given to a location in computer memory that can be used to store a value or a set of values. Variables are used in programming to store values that can be changed, such as numbers, strings, objects, or Boolean values.
The value for imputing missing values in x1: The predominant category strategy will be used for this variable, so the most frequent category (in this case, "F") will be used to impute the missing values.
The value for imputing missing values in x2: The simple mean imputation strategy will be used for this variable, so the mean of all the non-missing values (in this case 4.4) will be used to impute the missing values.
The value for imputing missing values in x3: The simple mean imputation strategy will be used for this variable, so the mean of all the non-missing values (in this case 0.5921) will be used to impute the missing values, rounded to 4 decimal places (0.5921).
The value for imputing missing values in x4: The simple mean imputation strategy will be used for this variable, so the mean of all the non-missing values (in this case 0.3613) will be used to impute the missing values, rounded to 4 decimal places (0.3613).
The value for imputing missing values in x5: The predominant category strategy will be used for this variable, so the most frequent category (in this case, "Yes") will be used to impute the missing values.
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Calculate the slope of the following coordinate points: 1. (-3,0) and (3,2) 2. (-3,-2) and (2, -1)
what is the prime factorization of 90
Answer:So, the prime factors of 90 are 2 × 3 × 3 × 5 or 2 × 32 × 5, where 2, 3 and 5 are the prime numbers.
Step-by-step explanation:
Joshua borrowed $2,200 for one year and paid $132 in interest. The bank charged him a service charge of $21. What is the finance charge on this loan?
Joshua borrowed $2,200 for one year and paid $132 in interest. The bank charged him a service charge of $21. The finance charge on this loan is 6.9%.
What is APR?Suppose there is an initial amount as P.
The interest, or say charge on it is applied annually as 'C' amount.
Taking how much percent of P is C, we get:
\(APR = \dfrac{C}{P} \times 100\)
Given;
Principal =$2,200
interest = $132
Service charge = $21.
To find finance charge we use
Finance charge (FC) = interest + service charge(SC)
= $132 + $21
= $153
Therefore
APR = Finance charge / Principal
= $153 / $2200
= 0.069 or 6.9%
Therefore, The finance charge on this loan is 6.9%.
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please assist with these questions thanks
1a. The percentage total return is -19.56%
1b. The dividend yield is 2.42%.
1c. The capital gains yield is -21.98%.
2a. The arithmetic average annual return on large-company stocks in nominal terms is 14.5%.
2b. The arithmetic average annual return on large-company stocks in real terms is 9.67%.
3a. The real return on long-term government bonds is 3.195%
3b. The real return on long-term corporate bonds is 3.291%
How to calculate the percentage total return?In Financial accounting, the percentage total return (P) can be calculated by using this formula;
P = [(Ending price - Initial price) + Dividend] ÷ Initial price
P = [(71 - 91) + 2.20] ÷ 91
P = -0.1956 or -19.56%
1b. For the dividend yield, we have:
Dividend yield = Dividend ÷ Initial price
Dividend yield = 2.20 ÷ 91
Dividend yield = 0.0242 or 2.42%
1c. For capital gains yield, we have:
Capital gains yield = (Ending price - Initial price) ÷ Initial price
Capital gains yield = (71 - 91) ÷ 91
Capital gains yield = -0.2198 or -21.98%.
Part 2.
a. The arithmetic average of annual return on large-company stocks in nominal terms is equal to 14.5%.
b. For arithmetic average annual return in real terms, we have:
(1 + 0.145) = (1 + r)(1 + 0.044)
r = (1.145/1.044) - 1
r = 9.67%
Part 3.
a. For real return on the long-term government bonds, we would apply Fisher equation:
(1 + i) = (1 + r)(1 + h)
Where:
i is the nominal interest rate.r is the real interest rate.h is the inflation rate.(1 + 0.066) = (1 + r)(1 + 0.033)
1 + r = 1.066/1.033
r = 3.195%
b. For real return on long-term corporate bonds:
(1 + 0.067) = (1 + r)(1 + 0.033)
1 + r = 1.067/1.033
r = 3.291%
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what times 64 equals 32
Find m/ABC.
A. 81°
B. 86°
C. 47°
D. 49.5°
99°
B
D
94%
The value of m ∠ABC=86° ,because of the cyclic quadrilaterals.
Hence, Option (B) is correct.
Since, We know that,
A cyclic quadrilateral is a four-sided polygon whose vertices all lie on a common circle.
The opposite angles of a cyclic quadrilateral have a total of 180°.
Hence, We can formulate;
m ∠ABC + m ∠ADC = 180°
m ∠ABC + 94° = 180°
m ∠ABC = 180° - 94°
m ∠ABC = 86°
Similarly, one can find m∠DCB
m∠DAB + m∠DCB = 180°
99° + m∠DCB = 180°
m∠DCB = 180° - 99°
m∠DCB = 81°
Hence, m∠ABC = 86°
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A point Q with coordinates (-8, -6) is reflected across the y-axis. What are its new coordinate?
Answer:
(8,-6)
Step-by-step explanation:
help me please
bei3udbrd
Answer:
it's was helpful to you
second is the answer
Anna volunteers on the weekend at the Central Library. As a school project, she decides to record how many people visit the library, and where they go. On Saturday, 382 people went to The Youth Wing, 461 people went to Social Issues, and 355 went to Fiction and Literature. On Sunday, the library had 800 total visitors. Based on what Anna had recorded on Saturday, about how many people should be expected to go to The Youth Wing? Round your answer to the nearest whole number.
Based on the data recorded by Anna on Saturday, we can estimate the number of people expected to visit The Youth Wing on Sunday.
Let's calculate the proportion of visitors to The Youth Wing compared to the total number of visitors on Saturday:
\(\displaystyle \text{Proportion} = \frac{\text{Visitors to The Youth Wing on Saturday}}{\text{Total visitors on Saturday}} = \frac{382}{382 + 461 + 355}\)
Next, we'll apply this proportion to the total number of visitors on Sunday to estimate the number of people expected to go to The Youth Wing:
\(\displaystyle \text{Expected visitors to The Youth Wing on Sunday} = \text{Proportion} \times \text{Total visitors on Sunday}\)
Now, let's substitute the values into the equation and calculate the estimated number of visitors to The Youth Wing on Sunday:
\(\displaystyle \text{Proportion} = \frac{382}{382 + 461 + 355}\)
\(\displaystyle \text{Expected visitors to The Youth Wing on Sunday} = \text{Proportion} \times 800\)
Calculating the proportion:
\(\displaystyle \text{Proportion} = \frac{382}{382 + 461 + 355} = \frac{382}{1198}\)
Calculating the estimated number of visitors to The Youth Wing on Sunday:
\(\displaystyle \text{Expected visitors to The Youth Wing on Sunday} = \frac{382}{1198} \times 800\)
Simplifying the equation:
\(\displaystyle \text{Expected visitors to The Youth Wing on Sunday} \approx \frac{382 \times 800}{1198}\)
Now, let's calculate the approximate number of visitors to The Youth Wing on Sunday:
\(\displaystyle \text{Expected visitors to The Youth Wing on Sunday} \approx 254\)
Therefore, based on the data recorded on Saturday, we can estimate that around 254 people should be expected to go to The Youth Wing on Sunday.
\(\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}\)
♥️ \(\large{\underline{\textcolor{red}{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)
Let (1=1,2,3, 4, 5, 6, 7, 8, 9, 10
The list of elements in the sets are as follows:
A. A ∩ B = {2, 9}
B. B ∩ C = {2, 3}
C. A ∪ B ∪ C = {1, 2, 3, 5, 7, 8, 9, 10}
D. B ∪ C = {2, 3, 5, 7, 9, 10}
How to find the elements in a set?Set are defined as the collection of objects whose elements are fixed and can not be changed.
Therefore,
universal set = U = {1,2,3, 4, 5, 6, 7, 8, 9, 10}
A = {1, 2, 7, 8, 9}
B = {2, 3, 5, 9}
C = {2, 3, 7, 10}
Therefore,
A.
A ∩ B = {2, 9}
B.
B ∩ C = {2, 3}
C.
A ∪ B ∪ C = {1, 2, 3, 5, 7, 8, 9, 10}
D.
B ∪ C = {2, 3, 5, 7, 9, 10}
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Use elimination to solve each system of equations.ſx - 2y = 103x + y = -12helppp!!!!
1) Let's use the Elmination Method:
x - 2y = 10 x -3 To eliminate 'x' when adding both
3x + y = -12
-3x +6y = -30
3x + y = -12
----------------------------
0 7y = -42 Divide both sides by 7
y= -6
2) Let's plug into the simpler equation the value for y
x - 2y =10
x +12 = 10 subtract 12 from both sides
x = -2
3) So, the solution to that system is S = (-2, -6)
Solve (x+1)2 =13/4 using the square root property
Answer:
Starting with the equation:
(x + 1)^2 = 13/4
We can use the square root property, which states that if a^2 = b, then a is equal to the positive or negative square root of b.
Taking the square root of both sides, we get:
x + 1 = ±√(13/4)
Simplifying under the radical:
x + 1 = ±(√13)/2
Now we can solve for x by subtracting 1 from both sides:
x = -1 ± (√13)/2
Therefore, the solutions to the equation are:
x = -1 + (√13)/2 or x = -1 - (√13)/2
Step-by-step explanation:
Which methods correctly solve for the variable x in the equation 7-x=18
Answer:
x = -11
Step-by-step explanation:
7 - x = 18
+ x on both sides to cancel the negative one
7 = 18 + x
- 18 on both sides to get rid of the 18
solve:
7 - 18 = x
-11 = x
Answer:
collecting like terms
Step-by-step explanation:
step 1. Shift 7 to the right side
-x = 18 - 7
-x = 11
step 2. divide by -1 both sides
-x/-1 = 11/-1
x = -11
Please find the area of the figure.
Could someone explain how to count the little bits?
Answer:
√250 + 2 = 5√10 + 2
Step-by-step explanation:
1. refer to image attached
2. split the area into a rectangle and triangle (see red line)
3. find the area of the triangle
a. find the base (2)
b. find the height (2)
area = base * height / 2 = 2 * 2 / 2 = 2
4. find the area of the rectangle
a. find the width
the width can be found from the right triangle at the top right. the height is 2 and the bottom leg is 1, so using the pythagorean theorem, the hypotenuse, which is the width of the triangle, equals
√(2²+1²) = √5 as our width
b. find the length
given the top right triangle, we have a height of 5 and another leg length of 5, so the length = √(5²+5²) = √50
the area of the rectangle is thus √50 * √5 = √250
4. the area is thus the two areas added up, or √250 + 2
A rectangular field is covered by circular sprinklers as
shown in the diagram. What percentage of the field is not
being watered by the sprinklers?
Answer:
21%
Step-by-step explanation:
Area of one sprinkler
a = πr²
a = π10²
a = 314.159 ft²
8 sprinklers
a = 8 * 314.159
a = 2,513.272
---------------------
area of field
a = lw
a = 80 * 40
a = 3200
------------------------
area not watered
a = 3200 - 2,513.272
a = 686.728
------------------
percentage not watered
p = 686.728 / 3200 * 100%
p = 21.46025%
Rounded
21%
3.) The ratio of dogs to cats at the animal shelter is 4:1. If there are a total of 85 dogs and cats
at the shelter, how many dogs are at the shelter?
Answer:
Step-by-step explanation:
The ratio of dogs to cats is
quantities relative to each other. There are two cats and one dog. This means there are twice as many cats as dogs, or half as many dogs as cats.
...
Equivalence.
cats : dogs
8 : 4
Answer:
d
Step-by-step explanation:
yes
Bean Seed Growth Temp 25 20 15 10 Days S 7 9 If the trend continues, how many days will it take at 10 degrees?
The needed number of days at 10 degrees is given as follows:
11 days.
How to define a linear function?The slope-intercept equation for a linear function is presented as follows:
y = mx + b
In which:
m is the slope.b is the intercept.For this problem, we have that when x decreases by 5, y increases by 2, hence the slope m is given as follows:
m = -2/5
m = -0.4.
Hence the time needed for a temperature of 10 degrees is given as follows:
9 + 2 = 11 days.
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Which inequality is equivalent to |x-4|<9?
Answer:
–9 < x – 4 < 9