Answer: Joseph Kabila
Step-by-step explanation:
Answer:
Joseph Kabila
Step-by-step explanation:
A list of the top twenty restaurants in chicago was released. Four of the restaurants specialize in seafood. If five of the restaurants are selected randomly from the list, the standard deviation for the number of restaurants specializing in seafood is_____.
Answer:
the standard deviation for the number of restaurants specializing in seafood is 0.8944
Step-by-step explanation:
Given that :
Sum total number N of top restaurants in Chicago = 20
Four of the restaurants specialize in seafood,
then , the probability that a randomly selected restaurant from the top 20 in the list will specialize in seafood will be p = 4/20
p = 0.2
sample size n = 5
Assuming X to be the random variable that follows a Binomial distribution that represent the number of restaurants specializing in seafood.
Then: [tex]X \sim Binomial (n,p)[/tex]
where;
n = 5 and p = 0.2
The standard deviation σ can be determined by using the formula:
[tex]\sigma = \sqrt{np(1-p)}[/tex]
[tex]\sigma = \sqrt{5\times 0.2(1-0.2)}[/tex]
[tex]\sigma = \sqrt{1.0(0.8)}[/tex]
[tex]\sigma = \sqrt{0.8}[/tex]
σ = 0.894427191
σ [tex]\simeq[/tex] 0.8944
round 5.36909546581 to 5 decimal places.
Answer:
5.36910
Step-by-step explanation
whatever you see like 95 can round up to 100.
5.369095... you just round up 95 to 100.
5 decimal is 5.36910
The number 5.36909546581 which is needed to be rounded off up to 5 decimal places is 5.36910.
What are decimal numbers?The decimal numeral system is the most widely used system for representing both integer and non-integer values. It is the Hindu-Arabic numeral system's expansion to non-integer numbers. The method of representing numbers in the decimal system is commonly referred to as decimal.
Given the number 5.36909546581 which is needed to be rounded off up to 5 decimal places. Therefore, if we look at the sixth place after the decimal it is equal to 5.
Thus, fifth place is needed to be rounded off to the next number.
Hence, the number 5.36909546581 which is needed to be rounded off up to 5 decimal places is 5.36910.
Learn more about Decimal Numbers here:
https://brainly.com/question/4708407
#SPJ2
Let L1 be the line containing points (8, -4) and (2, -5), and let L2 be the line containing points (10, 9) and (15, -21). Find the slope of each line.
Construct the indicated confidence interval for the difference between the two population means. Assume that the two samples are independent simple random samples selected from normally distributed populations. Assume that the population standard deviations are equal.
Answer:
See the attachment for formatted formulas
Step-by-step explanation:
Let X11, X12, ……,X1n and X21 , X22……., X2n be two small independent random samples from two normal populations with means u1 and u2 and the standard deviations σ1 and σ2 respectively. If σ1= σ2 (=σ) but unknown then the unbiased pooled or combined estimate of the common variance σ2 (the term variance means that each population has the same variance) is given by
Sp2 = ((n_1-1) s_(1^2 )+ (n_2-1) s_2^2)/(n_1+n_2-2)
Where
S12 = 1/(n_1- 1) ∑▒〖 (X_1i- X`_1)〗^2 and
S22 = 1/(n_2- 1) ∑▒〖 (X_2j- X`_2)〗^2
The test statistic
t = ((X_1`-X_2`)- (μ_1- μ_2))/(√(s_p&1/n_1 )+ 1/n_2 )
Has t distribution with v= n1 + n2 – 2 degrees of freedom.
It is used as a test statistic for testing hypotheses about the difference between two population means.
The procedure for testing hypothesis H0: μ_1- μ_2= ∆_0 in case of small independent samples when σ_1= σ_2 is as follows.
Formulate the null and alternative hypotheses given σ_1= σ_2= σ unknown.H0: μ_1- μ_2= ∆_0 against the appropriate alternative.
Decide the significance level α. The test statistic under H0 ist = ((X_1`-X_2`)- ∆_0 )/(√(s_p&1/n_1 )+ 1/n_2 )
Which has t distribution with v= n1 + n2 – 2 degrees of freedom.
Identify the critical region Compute the t- value from the given data Reject H0 if t falls in the critical region, accept H0 otherwise.Your friend has prepared his monthly budget and asks you if he has overlooked anything in this planning. which of the following questions points out his most serious omission?
Answer:
The best and most correct answer among the choices provided by the question is
The statement that points out his most serious omission is "What if the electric bill increases?".
Step-by-step explanation:
HELP!! 30 POINTS!!! 2 and 3!!!
Replace x with each value and solve :
2 x 2^1 = 2 x 2 = 4
2 x 2^2 = 2 x 4 = 8
2x 2^3 = 2 x 8 = 16
2x 2^4 = 2 x 16 = 32
2 x 2^5 = 2 x 32 = 64
Now mark two points on the graph: (1,4) and (2,8) and draw a straight line though both points
The image is not rotated correctly...
Answer:
Q#2 y;; 4 8 16 32 64
Q#3 given below;
Step-by-step explanation:
How can the decimal –70.73 be written as a mixed number?
Answer:
-70[tex]\frac{73}{100}[/tex]
Hope It Help
The weight of an organ in adult males has a bell-shaped distribution with a mean of 310 grams and a standard deviation of 40 grams. Use the empirical rule to determine the following.
a. About 95 % of organs will be between what weights?
b. What percentage of organs weighs between 270 grams and 350 grams?
c. What percentage of organs weighs less than 270 grams or more than 350 grams?
d. What percentage of organs weighs between 230 grams and 430 grams?
Answer:
Step-by-step explanation:
Given that:
The mean μ = 310
The standard deviation σ = 40
Using the empirical rule to determine the following :
a. About 95 % of organs will be between what weights?
At 95% data values lies within 2 standard deviations of mean.
Thus, the required range is :
= μ ± 2σ
= ( 310 - 2 (40) , 310 + 2(40) )
= (230, 390)
b. What percentage of organs weighs between 270 grams and 350 grams
Here:
μ ± σ = (310 - 40, 310 + 40)
μ ± σ = (270, 350)
Using empirical rule, 68% data values is in the range within 1 standard deviation of mean. This implies that 68% data values lie between (270, 350).
c. What percentage of organs weighs less than 270 grams or more than 350 grams?
The complement theorem can be use to estimate the percentage of organs that weighs less than 270 grams or more than 350 grams,
This can be illustrated as :
= 100 % - 68 %
= 32 %
d. What percentage of organs weighs between 230 grams and 430 grams?
Using the empirical rule:
The percentage of organs weighs between 230 grams and 430 grams is:
u - 2σ and u + 3σ respectively.
If you roll a die 100 times, what is the approximate probability that you will roll between 9 and 16 ones, inclusive? (Round your answer to two decimal places.) HINT [See Example 4.]
Answer: 0.47
Step-by-step explanation:
Given that
n = 100, probability of rolling 1 = 1/6
binomial approximation
np = 100 ( 1/6) = 16.667
standard deviation = √ 100 × 1/6 ×5/6 = 3.7627
P ( 9 ≤ X ≤ 16 )
= P ( 8.5 < X < 16.5 )
so,
= P ((8.5 - 16.6667) / 3.7627 < Z < (16.5 - 16.6667) / 3.7627
= P ( -2.17 < Z < -0.04 )
= 0.484 - 0.015
= 0.47
Therefore the approximate probability that you will roll between 9 and 16 ones is 0.47
Write the following relation as a linear equation in standard form. Include a space between terms and operations.
B={(x, y): (2, 3), (4,4), (6,5), ...}
Answer:
In the form of
Y= mx+c
Y= 1/2x +2
m = 1/2
Step-by-step explanation:
A linear equation in it's standard form is in the format
Y= mx+c
Where m is the slope and c is the y intercept
Let's use these two points to determine both the slope and the equation
(2, 3), (4,4)
Slope= (y2-y1)/(x2-x1)
Slope= (4-3)/(4-2)
Slope= 1/2
Equation of the linear function
(Y-y1)/(x-x1)= m
(Y-3)/(x-2)= 1/2
2(y-3) = x-2
2y -6 = x-2
2y= x-2+6
2y= x+4
Y= 1/2x +2
I’m really struggling, someone please help!
Hi there! :)
Answer:
[tex]\huge\boxed{C.}[/tex]
We can examine each answer choice individually:
A. 569 × 10² = 569 × (10 · 10) = 569 · 100 = 56,900. Therefore, this choice is incorrect.
B. 569 · 10 = 5,690. This choice is incorrect.
C. 10³ · 569 = (10 · 10 · 10) ·569 = 1000 · 569 = 569,000. This choice is correct.
D. 10² · 569 = (10 · 10) · 569 = 56,900. This choice is incorrect.
Therefore, the correct option is C.
Answer:
A. 569 × 10² = 569 × (10 · 10) = 569 · 100 = 56,900.
B. 569 · 10 = 5,690.
C. 10³ · 569 = (10 · 10 · 10) ·569 = 1000 · 569 = 569,000.
D. 10² · 569 = (10 · 10) · 569 = 56,900.
So your answer is C
A candy box is to be made out of a piece of cardboard that measures 8 by 12 inches. Squares of equal size will be cut out of each corner, and then the ends and sides will be folded up to form a rectangular box. What size square should be cut from each corner to obtain a maximum volume
Answer:
Length of square cut = 1.569 inches
Step-by-step explanation:
given data
Length of cardboard = 12 inches
Breadth of cardboard = 8 inches
solution
we will consider here side of the square = x
when we cutting out the square then there Length and breadth of candy box will be
Length of box = (12 - x - x)
Length of box = (12 - 2x) inches.
and
Breadth of box = (8 - x - x)
Breadth of box = (8 - 2x) inches.
and Height of candy box wil be = x inches
so
Volume of a cuboid = L × b × h .....................1
Volume of a cuboid = (12 - 2x) × (8 - 2x) × x
Volume of a cuboid = 96x - 40x² + 4x³
now we Differentiate with respect to x
V' = 96 - 80x + 12x²
and for maximum volume we put V' = 0
0 = 96 - 80x + 12x²
solve it we get
x = 5.097
x = 1.569
when x = 5.097 inches
Breadth of candy box = 8 - 10.194 = -2.194 inches
but we know breadth never be negative,
so we take
Length of square cut = 1.569 inches
Perform the operation. (Write fractional answers in simplest form.) 8x/3 ÷ 6/7
Answer:
[tex]\frac{28x}{9}[/tex]
Step-by-step explanation:
Order of Operations: BPEMDAS
Step 1: Write out equation
[tex]\frac{8x}{3} /\frac{6}{7}[/tex]
Step 2: KCF (Keep Change Flip)
[tex]\frac{8x}{3} (\frac{7}{6})[/tex]
Step 3: Multiply
[tex]\frac{56x}{18}[/tex]
Step 4: Simplify
[tex]\frac{28x}{9}[/tex]
Answer:
28x/9
Step-by-step explanation:
Dividing a fraction by fraction is the same as multiplying a fraction by the other fraction's reciprocal:
Here is the formula:
[tex]\frac{x}{y} / \frac{a}{b} = \frac{x}{y} * \frac{b}{a}[/tex]
Thus, [tex]\frac{8x}{3} / \frac{6}{7} = \frac{8x}{3} * \frac{7}{6}[/tex]
8x * 7 = 56x and 3* 6 is 18, so:
[tex]\frac{56x}{18}[/tex]
It can be further simplified by dividing both numerator and denominator by 2:
[tex]\frac{28x}{9}[/tex]
PLZZZZZZZZ HELP ME I WILL GIVE BRAINLIEST TO THE FASTEST AND MOST ACCURATE
Sally had 150 dollars to spend on 9 books. After
buying them she had 15 dollars. How much did each book cost
Answer:
Each book costs $15 dollars
Step-by-step explanation
150-15=135
135/9=15
$15
. Which sentence contains a proper noun? Users of electronic databases can check a library’s catalog to see which books are available. Using computers, people can obtain goods directly from manufacturers in other countries. The Internet is a communication network that gained popularity in the 1990s. With the capabilities provided by the computer, users can research products, services, and companies online.
Step-by-step explanation:
A proper noun is a specific name for a particular person, place, or thing.
The Internet is a communication network that gained popularity in the 1990s.
A proper noun should always start with a capital letter, whether at the start or middle of a sentence.
Convert 8 centimeters into yards. Round your answer to the nearest hundredth
Answer: 0.08 yards
Step-by-step explanation: 1 centimeter equals to about 0.01 yards. You have to multiple 0.01 to 8 and it will give 0.08 yards.
Answer:
x = 0,087489064
Step-by-step explanation:
1 cm = 0.010936133 yards
8 cm = x
x = 8 cm x 0.010936133 yards/ 1 cm
x = 0,087489064
Which is closest to the distance between A and B on the number
line?
A) -9
B) -5
C) 13
D) 5
E) 12
Answer:
C) 13
Step-by-step explanation:
A on the number line is about -5 and B is 8. Act as if there wasn't a negative sign in front of the 5. Add the two numbers together the get the distance.
Amy deposited $750 in a saving account that pays 6.75% Interest compounded monthly. Calculate the total amount in the account after 10 years.
Answer:
Amount after 10 years is $1472.775
Step-by-step explanation:
Amy deposited $750 in a saving account that pays 6.75% Interest compounded monthly for 10 years.
Principal amount= $750
Rate of interest= 6.75%
Time= 10 years
Number of times compounded= 10*12
Number of times compounded= 120
A= p(1+r/n)^(nt)
A= 750(1+0.0675/120)^(120*10)
A= 750(1+0.0005625)^(1200)
A= 750(1.0005625)^(1200)
A= 750(1.9637)
A= 1472.775
Amount after 10 years is $1472.775
You take the four Aces, four $2$'s, and four $3$'s from a standard deck of 52 cards, forming a set of $12$ cards. You then deal all $12$ cards at random to four players, so that each player gets three cards. What is the probability that each player gets an Ace, a $2$, and a $3$?
Answer:
Probability each player gets an ace, a $2 and a $3 = 0.0374
Step-by-step explanation:
The total number of ways to divide the card in triples among four players = 369600 ways
The total number of ways to share the cards such that no card is repeated in each triple = 13824 ways
Probability each player gets an ace, a $2 and a $3 = 13824/369600
Probability each player gets an ace a $2 and a $3 = 0.0374
Note: Further explanation is provided in the attachment.
A zookeeper divided 3,570 pounds of food equally among 7 elephants.
How many pounds of food did each elephant receive?
Each elephant received
pounds of food.
Answer:
[tex] \boxed{\sf Amount \ of \ food \ each \ elephant \ receive = 510 \ pounds} [/tex]
Given:
Total amount of food = 3,570 pounds
Total number of elephants = 7
To Find:
Amount of food each elephant receive
Step-by-step explanation:
7 elephants receive = 3,570 pounds
[tex] \sf 1 \: elephant \: receive = \frac{3570}{7} \: pounds[/tex]
= 510 pounds
So,
Amount of food each elephant receive = 510 pounds
Alewuya recently hired a landscaper to do some necessary work. On the final bill, Alewuya was charged a total of $361. $265 was listed for parts and the rest for labor. If the hourly rate for labor was $32, how many hours of labor was needed to complete the job?
Answer:
361-265＝96
96÷32＝3
3hours of labor was needed to complete the job
What is the area of a circle with a diameter of 6?
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{28.28 \: }}}}}[/tex]
Step-by-step explanation:
Given, diameter of a circle = 6
pi ( π ) = 22 / 7
Finding the radius of the circle
We know that the radius of a circle is just half of the diameter. So, 6 / 2 = 3
Finding the area of circle having radius of 3
[tex] \boxed{ \sf{area \: of \: circle = \pi \: {r}^{2} }}[/tex]
plug the values
⇒[tex] \sf{area \: of \: circle = \frac{22}{7} \times {3}^{2} }[/tex]
Evaluate the power
⇒[tex] \sf{area \: of \: circle = \frac{22}{7} \times 9}[/tex]
Calculate
⇒[tex] \sf{area \:of \: circle = 28.28 \: }[/tex]
Hope I helped!
Best regards! :D
At the sixth-grade school dance, there are 132 boys, 89 girls, and 14 adults. Write the ratio of the number of boys to the number of girls. Type your answer either in the format: 3:4 with no spaces, OR in the format 3 to 4.
Answer:
the ratio will be 132 to 89
The ratio is 132 : 89.
What is ratio?A comparison of two quantities by division is called a ratio and the equality of two ratios is called proportion. A ratio can be written in different forms like x : y or x/y and is commonly read as, x is to y.
Ratio is the comparison of two quantities which is obtained by dividing the first quantity by the other. If a and b are two quantities of the same kind and with the same units, such that b is not equal to 0, then the quotient a/b is called the ratio between a and b. Ratios are expressed using the symbol of the colon (:). This means that ratio a/b has no unit and it can be written as a : b
Given:
Boys= 132
girls= 89
adults= 14
So,
the ratio of number of boys to number of girls is
= 132/89
=132 : 89
Learn more about ratio here:
https://brainly.com/question/13227971
#SPJ2
Please, can someone help me with this problem? I would really appreciate it if you could explain the process too.
Video Example EXAMPLE 3 Find the local maximum and minimum values and saddle points of f(x, y) = x4 + y4 − 4xy + 1. SOLUTION We first locate the critical points:
Answer:
(0, 0) is a saddle point
(1, 1) is a local minimum
(-1, -1) is another point of local minimum
Step-by-step explanation:
We first locate the critical points. In order to get the critical points we need to find the first derivatives and then set them to zero.
f(x, y) = x⁴ + y⁴ - 4 xy + 1
Find the first derivatives wrt to x and y
[tex]f_{x}(x,y)[/tex] = 4x ³ - 4y --> (1)
[tex]f_{y}(x,y)[/tex] = 4y³ - 4x --> (2)
Solve (1) for y
4x ³ - 4y = 0
x ³ = y
y = x ³ ---> (3)
Solve (2) for x
4y³ - 4x = 0
4y³ = 4x
y³ = x
x = y³ ----> (4)
Plug (3) into (2)
4y³ - 4x
4(x ³)³ - 4x = 0
4x⁹ - 4x = 0
4x (x ⁸ - 1) = 0
4x (x ⁴ - 1)(x⁴ + 1) = 0
4x (x ² - 1)(x ² + 1)(x ⁴ + 1) = 0
4x (x - 1)(x + 1)(x ² + 1)(x ⁴ + 1) = 0
So
x = 1 , -1 , 0
In order to find values of y, Plug each x value in (3)
For
x = 0
corresponding y value
y = x ³
y = 0 ³
y = 0
For
x = 1
y = x ³
y = 1 ³
y = 1
For
x = -1
y = x ³
y = (-1 )³
y = -1
Hence we get the critical points which are:
(0, 0)
(1, 1) and
(-1, -1)
Now for each critical point, we have to compute D(x,y)
For a critical point (x,y), D computed as:
D(x, y) = [tex]f_{xx}[/tex] (x, y) - [tex]f_{yy}[/tex] (x, y) - ([tex]f_{xy}[/tex] (x, y))²
After computing D(x,y) check:
If D(x, y) > 0 and [tex]f_{xx}[/tex] (x, y) > 0:
f(x, y) is a local minimum.
If D(x, y) > 0 and [tex]f_{xx}[/tex] (x, y) < 0:
f(x, y) is a local maximum.
If D(x, y) < 0:
then f(x, y) is a saddle point
Here first compute the second derivative in order to get [tex]f_{xx}[/tex] , [tex]f_{yy}[/tex] and [tex]f_{xy}[/tex]
we have already computed:
[tex]f_{x}(x,y)[/tex] = 4x ³ - 4y --> (1)
[tex]f_{y}(x,y)[/tex] = 4y³ - 4x --> (2)
Now
[tex]f_{xx}(x,y)[/tex] = 12x²
[tex]f_{yy}(x,y)[/tex] = 12y²
[tex]f_{xy}(x,y)[/tex] = -4
Compute D(x,y)
Critical Point (0, 0):
[tex]D(0, 0) = f_{xx} (0,0) f_{yy}(0,0)-(f_{xy}(0,0))^{2}[/tex]
Putting values of [tex]f_{xx}(x,y)[/tex] , [tex]f_{yy}(x,y)[/tex] and [tex]f_{xy}(x,y)[/tex] in above equation:
D(0,0) = 12(0)² * 12(0)² - (-4)²
= 0 * 0 -16
D(0,0) = -16
We know that if D < 0, the critical point f(x, y) is a saddle point.
D(0,0) < 0 because D(0,0) = -16
Hence (0, 0) is a saddle point
Compute D(x,y)
Critical Point (1, 1):
[tex]D(1, 1) = f_{xx} (1,1) f_{yy}(1,1)-(f_{xy}(1,1))^{2}[/tex]
Putting values of [tex]f_{xx}(x,y)[/tex] , [tex]f_{yy}(x,y)[/tex] and [tex]f_{xy}(x,y)[/tex] in above equation:
D(1,1) = 12(1)² * 12(1)² - (-4)²
= 12 * 12 - 16
D(1,1) = 128
We know that if D(x, y) > 0 and [tex]f_{xx}[/tex] (x, y) > 0 then f(x, y) is a local minimum.
D(1,1) > 0 because D(1,1) = 128
[tex]f_{xx}[/tex] (x, y) > 0 because [tex]f_{xx}[/tex] (x, y) = 12
Hence (1,1) is the local minimum
Compute D(x,y)
Critical Point (-1, -1):
[tex]D(-1, -1) = f_{xx} (-1,-1) f_{yy}(-1,-1)-(f_{xy}(-1,-1))^{2}[/tex]
Putting values of [tex]f_{xx}(x,y)[/tex] , [tex]f_{yy}(x,y)[/tex] and [tex]f_{xy}(x,y)[/tex] in above equation:
D(-1,-1) = 12(-1)² * 12(-1)² - (-4)²
= 12 * 12 - 16
D(-1,-1) = 128
We know that if D(x, y) > 0 and [tex]f_{xx}[/tex] (x, y) > 0 then f(x, y) is a local minimum.
D(-1,-1) > 0 because D(-1,-1) = 128
[tex]f_{xx}[/tex] (x, y) > 0 because [tex]f_{xx}[/tex] (x, y) = 12
Hence (-1,-1) is the local minimum
What is the difference between 4 and 62
2.
Answer:
6214
Step-by-step explanation:
you round up 62 and 4 20 times and that is your answer but for give me if this answer wrong
give another name for r
I would have to say its AB<----
But im not 100% sure I wish you luck.
A candle is in the shape of a cylinder with a diameter of 3.5 in and height of 8.5 in. The weight of the candle is 1400 grams.
a. Find the density of the candle.
b. If the candle burns at a rate of 0.75in per hour, find its volume after burning for 3 hours.
c. Compare the volume and surface area of the burned candle to its beginning volume and surface area.
d. What is the weight of the candle after burning for 3 hours?
Answer:
a
Step-by-step explanation:
Find the sum of the convergent series by using a well-known function. (Round your answer to four decimal places.) [infinity] (−1)n + 1 1 7nn n = 1
Answer:
Here is the full question:
Find the sum of the convergent series by using a well-known function. (Round your answer to four decimal places.) Σ_(n=1)^∞ (-1)^n+1 1/7^n n
Step-by-step explanation:
Σ_(n=1)^∞ (-1)^n+1 1/7^n n
We will use the function In (1 + x)
We will now give a power series expansion of the function while it is centered at x=0
This will give us In (1 + x) = Σ_(n=1)^∞[tex](-1)^{n+1}[/tex][tex]\frac{x^{n} }{n}[/tex]
Note that x= 1/7
Now let us equate the two equations
Σ_(n=1)^∞[tex](-1)^{n+1}[/tex][tex]\frac{1}{7^{n}n }[/tex] = ㏑(1 + x)|[tex]_{x = \frac{1}{7} }[/tex] = ㏑[tex]\frac{8}{7}[/tex]
Sum of the series will give ㏑[tex]\frac{8}{7}[/tex]