Answer:
D. 2.33.
Step-by-step explanation:
Given;
the weight distribution of the bottles = 4, 2, 5, 4, 5, 2, and 6
sum of the weights = 28
the mean (x) = 28/7
x = 4
the sum of square of the mean deviation is calculated as:
= (4 - 4)² + (2 - 4)² + (5 - 4)² + (4 - 4)² + (5 - 4)² + (2 - 4)² + (6 - 4)²
= 0 + 4 + 1 + 0 + 1 + 4 + 4
= 14
[tex]the \ variance \ is \ calculated \ as:\\\\\sigma ^2 = \frac{\sum (x-\bar x)^2}{n-1} \\\\\sigma ^2 = \frac{14}{7-1} = \frac{14}{6} = 2.33[/tex]
Therefore, the correct answer is D
Suppose, as a rough estimate, we say that there are 20 distinct geons used for object recognition; and each geon can come in 5 classifiable qualitative sizes (tiny, small, moderate, large, huge); and a pair of geons can be placed in 10 distinct qualitative relations (geon A on top of geon B; geon A to upper left of geon B; geon A to the left of geon B; and so forth).How many distinct two-geon objects do we have in the space described above?
Answer:
49500
Step-by-step explanation:
According to the Question,
Given That, Suppose, as a rough estimate, we say that there are 20 distinct geons used for object recognition, and each geon can come in 5 classifiable qualitative sizes (tiny, small, moderate, large, huge). and a pair of geons can be placed in 10 distinct qualitative relations.We have, District geons = 20 , District Size = 5
So, The Number Of Ways A geon can be selected 20 x 5 = 100Now, We choose 2 geons From 100 Geons and arrange them in 10 district relations.
So, The number of district two-geon object= [tex]\left[\begin{array}{ccc}100\\2\end{array}\right] * 10[/tex]
= (100 × 99)/2 × 10
= 49.5×100×10 ⇒ 49500
Lines DE and AB intersect at point C. What is the value of x?
Answer:
please add another photo it's too difficult to see the values
3. Two dice are rolled. What’s the conditional probability that both dice are 5’s if it’s known that the sum of points is divisible by 5?
Answer:
[tex]Pr =\frac{1}{3}[/tex]
Step-by-step explanation:
Given
[tex]S = \{(1, 1) (1, 2) (1, 3) (1, 4) (1, 5) (1, 6)(2, 1) (2, 2) (2, 3) (2, 4) (2, 5) (2, 6)[/tex]
[tex](3, 1) (3, 2) (3, 3) (3, 4) (3, 5) (3, 6)(4, 1) (4, 2) (4, 3) (4, 4) (4, 5) (4, 6)[/tex]
[tex](5, 1) (5, 2) (5, 3) (5, 4) (5, 5) (5, 6)(6, 1) (6, 2) (6, 3) (6, 4) (6, 5) (6, 6)\}[/tex] --- sample space
First, list out all outcomes whose sum is divisible by 5
[tex]A = \{(4,6), (5,5),(6,4)\}[/tex]
So, we have:
[tex]n(A) = 3[/tex]
Next, list out all outcomes that has an outcome of 5 in both rolls
[tex]B = \{(5,5)\}[/tex]
[tex]n(B) =1[/tex]
The required conditional probability is:
[tex]Pr =\frac{n(B)}{n(A)}[/tex]
[tex]Pr =\frac{1}{3}[/tex]
solve for this square.
Answer:
a2
b4
c16 brainliest plzz
Answer:
a) SV = 2
The line that is SV actually is not the full slash. It is halfway, and we know that half of four would be two.
b) RT = 4
This time RT is a full line going all the way down. So it would be 4.
c) p = a + b + c
The lengths are all the same because we calculated in the first question that two is half of four. So the base, height, and hypotenuse are the same, 2.
2 + 2 + 2 = 6
So the perimeter of the triangle RVS is 6.
A manufacturer knows that their items have a lengths that are skewed right, with a mean of 10 inches, and standard deviation of 1.6 inches. If 39 items are chosen at random, what is the probability that their mean length is greater than 10.5 inches
Solution :
Given :
Mean, μ = 10 inches
Standard deviation, σ = 1.6 inches
Sample size is n = 39
Therefore,
[tex]$\mu_{\overline x}=\mu = 10$[/tex]
[tex]$\sigma_{\overline x}=\frac{\sigma}{\sqrt n } = \frac{1.6}{\sqrt{39}}$[/tex]
= 0.25
[tex]$P (\overline X > 10.5 ) = P\left( \frac{\overline X - \mu_{\overline x}}{\sigma_{\overline x}} > \frac{10.5 - 10}{0.25} \right)$[/tex]
= P( Z >2)
= 1 - P(Z < 2)
= 1 - 0.97225 (from standard normal table)
= 0.0277
A chemist is using 331 milliliters of a solution of acid and water. If 16.2% of the solution is acid, how many milliliters of acid are there? Round your answer to the nearest tenth.
9514 1404 393
Answer:
53.6 mL
Step-by-step explanation:
The amount of acid is 16.2% of 331 mL, or ...
0.162 × 331 mL = 53.622 mL
There are about 53.6 mL of acid in the solution.
3
What is
4
of 100 km?
0,75-100
Answer:
75 km.
Step-by-step explanation:
Fractions of a number
To get the fraction of a number, we multiply that number by the given fraction.
For example two-thirds of 60 is 2/3 × 60 = 2 × 20 = 40 and one-fifth of 100 is 1/5 × 100 = 100/5 = 20
Now, we are supposed to find a fraction of 100 km. Assume its three-quarters.
So, three-quarters of 100 km is 3/4 × 100 km = 3 × 100 km/4 = 3 × 25 km = 75 km
So, three-quarters of 100 km is 75 km.
etry & measure > Circle measure > 534 - Circumference of a circle (1) > Quiz
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5 of 10
Find the circumference of a circle with diameter, d = 9cm.
Give your answer rounded to 3 SF.
cm
Answer:
28.26 cm
Step-by-step explanation:
circumference of a circle = πd
=3.14 * 9 cm
=28.26 cm
6(x + 2) in the simplest form
Using the Distributive Property we can put this in its simplest form.
6(x+2)
(6)(x)+(6)(2)
6x+12
Answer:
6x + 12
Step-by-step explanation:
Use the distributive property to multiply the 6 to the x and 2 to get 6x + 12.
Will mark as Branliest if you can answer.
Answer:
j: area= 36
k: area= 72
l: area= unable to solve due to not having both bases.
Step-by-step explanation:
I used the formula : ((a+b)/2)*h
then, I plugged in the numbers in the problem for the variables in the formula. Here is how I solved j:
((a+b)/2)*h = ((5+7)/2)*6 = (12/2)*6 = 6*6 = 36
I solved k the same way but with different numbers because the problem provided different bases and a different height.
Plsss answer thissss
Answer:
lol
Step-by-step explanation:
Answer:
285 cm
Step-by-step explanation:
perimeter of big triangle
base = 19 + 27
=46 cm
perimeter = base*height/2
=46*30/2
=1380/2
=690 cm
perimeter of not white not shaded triangle
base = 27 cm
height = 30 cm
perimeter = base*height/2
=27*30/2
=810/2
=405 cm
perimeter of shaded triangle = 690 cm - 405 cm
=285 cm
please help me find the area
Answer:
320 square feet.
Step-by-step explanation:
For the moment, let's put the square back in place. That would make the length 16 + 8 = 24 and the width 16.
L = 24
W = 16
Area = L * W
Area = 24 * 16
Area = 384
Now the next step is to take out the square. It is 8 * 8 = 64
The area of the figure = 384 - 64 = 320 square feet, and that's the answer.
Answer:
320 in^2
Step-by-step explanation:
we need to find the area of this figure
Firstly divide above picture in two parts
1st figure = (16*16)in.
2nd figure = (8*8)in.
Area of 1st figure = 16*16 = 256 in^2
Area of 2nd figure = 8*8 = 64 in^2
Area of whole figure = ( 256 + 64 )in^2
= 320 in^2
Kayla wants to fence in a rectangular dog pen that is 30 ft by 40 ft How would you use wha
you know about geometry to help her ensure that she has truly built a rectangular pen?
Answer:
Kindly check explanation
Step-by-step explanation:
Given the dimension of the dog pen = 30 ft by 40 ft.
Using the knowledge of geometry, that know that a rectangle has been built, the area of the pen should be :
Area of rectangle = Length * width
Area = 40 * 30
Area = 1200 ft²
Perimeter of rectangle = 2(Length + width)
Perimeter = 2(40 + 30)
Perimeter = 2(70)
Perimeter = 140 feets
Hence, area of the pen should be 1200 ft² and its perimeter or fencing should measure 140 feets
The graph of a quadratic function F has zeros of -8 and four and a maximum
find the elapsed time when starting time is 12:10 p.m. and finishing time is 2:05 p.m.
Answer:
1 hr 55 mins
Step-by-step explanation:
50 mins between 12:10 and 1:00 p.m.
Add 5 mins to change 2:05 to 2:00.
55 mins and 1 hr
Consider the following hypothesis test. : : The following results are for two independent samples taken from two populations. Excel File: data10-03.xlsx Enter negative values as negative numbers. a. What is the value of the test statistic? (to 2 decimals) b. What is the -value? (to 4 decimals) c. With , what is your hypothesis testing conclusion? - Select your answer -
Answer:
[tex]z = -1.53[/tex] --- test statistic
[tex]p = 0.1260[/tex] --- p value
Conclusion: Fail to reject the null hypothesis.
Step-by-step explanation:
Given
[tex]n_1 = 80[/tex] [tex]\bar x_1= 104[/tex] [tex]\sigma_1 = 8.4[/tex]
[tex]n_2 = 70[/tex] [tex]\bar x_2 = 106[/tex] [tex]\sigma_2 = 7.6[/tex]
[tex]H_o: \mu_1 - \mu_2 = 0[/tex] --- Null hypothesis
[tex]H_a: \mu_1 - \mu_2 \ne 0[/tex] ---- Alternate hypothesis
[tex]\alpha = 0.05[/tex]
Solving (a): The test statistic
This is calculated as:
[tex]z = \frac{\bar x_1 - \bar x_2}{\sqrt{\frac{\sigma_1^2}{n_1} + \frac{\sigma_2^2}{n_2} }}[/tex]
So, we have:
[tex]z = \frac{104 - 106}{\sqrt{\frac{8.4^2}{80} + \frac{7.6^2}{70} }}[/tex]
[tex]z = \frac{104 - 106}{\sqrt{\frac{70.56}{80} + \frac{57.76}{70}}}[/tex]
[tex]z = \frac{-2}{\sqrt{0.8820 + 0.8251}}[/tex]
[tex]z = \frac{-2}{\sqrt{1.7071}}[/tex]
[tex]z = \frac{-2}{1.3066}[/tex]
[tex]z = -1.53[/tex]
Solving (b): The p value
This is calculated as:
[tex]p = 2 * P(Z < z)[/tex]
So, we have:
[tex]p = 2 * P(Z < -1.53)[/tex]
Look up the z probability in the z score table. So, the expression becomes
[tex]p = 2 * 0.0630[/tex]
[tex]p = 0.1260[/tex]
Solving (c): With [tex]\alpha = 0.05[/tex], what is the conclusion based on the p value
We have:
[tex]\alpha = 0.05[/tex]
In (b), we have:
[tex]p = 0.1260[/tex]
By comparison:
[tex]p > \alpha[/tex]
i.e.
[tex]0.1260 > 0.05[/tex]
So, we fail to reject the null hypothesis.
4+x*100%-41-y/14*9(23/78)*6289-2.987075347=
Answer:
wenus.
Step-by-step explanation:
4 inches. hduruuruthtututuu4u4
Advertisements for the Sylph Physical Fitness Center claim that completion of their course will result in a loss of weight (measured in pounds). A random sample of 8 recent students revealed the following body weights before and after completion of SPF course.
Student 1 2 3 4 5 6 7 8
Before 155 228 141 162 211 185 164 172
After 154 207 147 157 196 180 150 165
The above data summarizes to the following (Note that "Difference = Before - After").
Mean Std Dev
Before 177.25 29.325
After 169.50 22.431
Difference 7.75 8.598
Construct a 90% confidence interval for the mean weight loss for the population represented by this sample assuming that the differences are coming from a normally distributed population.
Answer:
90% confidence interval for the mean weight loss for the population represented by this sample assuming that the differences are coming from a normally distributed population is [1.989 ,13.5105]
Step-by-step explanation:
The data given is
Mean Std Dev
Before 177.25 29.325
After 169.50 22.431
Difference 7.75 8.598
Hence d`= 7.75 and sd= 8.598
The 90% confidence interval for the difference in means for the paired observation is given by
d` ± t∝/2(n-1) *sd/√n
Here t∝/2(n-1)=1.895 where n-1= 8-1= 7 d.f
and ∝/2= 0.1/2=0.05
Putting the values
d` ± t∝/2(n-1) *sd/√n
7.75 ±1.895 * 8.598 /√8
7.75 ± 5.7605
1.989 ,13.5105
90% confidence interval for the mean weight loss for the population represented by this sample assuming that the differences are coming from a normally distributed population is [1.989 ,13.5105]
You work for a lender that requires a 20% down payment and uses the standard debt-to-income ratio to determine a person's eligibility for a home loan. Of the following, choose the person that you would rate the highest on their eligibility for a home loan?
person A person B person C person D
home value $175,000 $200,000 $220,000 $250,000
income $51,000. $58,000. $63,000. $67,000
savings. $35,000. $40,000. $42,000. $50,000
recurring debt. $350. $250. $200. $450
a.Person A
b. Person B
c.Person C
d. Person D
The person C that you would rate the highest on their eligibility for a home loan.
Given that,
You work for a lender that requires a 20% down payment and uses the standard debt-to-income ratio to determine a person's eligibility for a home loan.
We have to determine,
The person that you would rate the highest on their eligibility for a home loan?
According to the question,
Person A Person B Person C Person D
Home value; $175,000 $200,000 $220,000 $250,000
Income; $51,000 $58,000 $63,000 $67,000
Savings; $35,000 $40,000 $42,000 $50,000
Recurring debt; $350 $250 $200 $450
Person A has eligibility for a home loan is,
Home price $175,000 on 20% down payment,
[tex]= \dfrac{175000 \times 20}{100}\\\\= 175000 \times 0.20 \\\\= 35,000[/tex]
Person A's income is $51,000 and his saving amount is $35,000.
Person A has the highest eligible for recurring debt.
Therefore, Person A is not eligible for a home loan.
Person B has eligibility for a home loan is,
Home price $200,000 on 20% down payment,
[tex]= \dfrac{200000 \times 20}{100}\\\\= 200000 \times 0.20 \\\\= $40,000[/tex]
Person B's income is $58,000 and his saving amount is $40,000.
Person B is the highest recurring debt.
Therefore, Person B is not eligible for a home loan.
Person C has eligibility for a home loan is,
Home price $220,000 on 20% down payment,
[tex]= \dfrac{220000 \times 20}{100}\\\\= 220000 \times 0.20 \\\\= $44,000[/tex]
Person C's income is $63,000 and his saving amount is $42,000.
Person C has the lowest recurring debt.
Therefore, Person C is eligible for a home loan.
Person D has eligibility for a home loan is,
Home price $250,000 on 20% down payment,
[tex]= \dfrac{250000 \times 20}{100}\\\\= 200000 \times 0.20 \\\\= $50,000[/tex]
Person D's income is $67,000 and his saving amount is $50,000.
Person D has the highest recurring debt.
Therefore, Person D is not eligible for a home loan.
Hence, The person C that you would rate the highest on their eligibility for a home loan.
For more details refer to the link given below.
https://brainly.com/question/9911386
Answer: B
Step-by-step explanation:
Just took the test on edge and got it right
Alex wants to arrange chairs in such a way that the number of chairs in a row is equal to the number of columns. He has ordered 5100 tables.
a)How many more tables needed to arrange in such a way that he planned? Justify your answer
2)How many chairs can he remove to arrange in a way that he wants? Justify your answer.
Answer:
84
59
Step-by-step explanation:
In other to have the same number of chayes in both rows and columns ;
If the Number of chairs per row = x ; then number of chairs per column = x
Then the total number of chairs needed = x * x = x²
Hence, if there are 5100 chairs ;
Number of chairs needed more ;
Take the square root of 5100 ;the round to the next whole number :
B.) For number of chairs to be removed ;
Take the square root of 5100 and round down to the whole number.
Hence,
A.) = √5100 = 71.414 = 72
72² - 5100 = 84
B.) 5100 = 71.414 = 71
5100 - 71² =
does anyone know the answer to this question
Daniel measured the diameter of the base of a candle. If the diameter of the candle measures 7 cm, what is the measure of the radius?
Step-by-step explanation:
diameter (d) = 7cm
radius (r)= d/2 .... formula
= 7/2 .....put the value
= 3.5cm
the measure of radius is 3.5cm.
Question 5
Which of the following correctly does the calculation 76?
a = 7% 6
a = 746
a = 7* 6
a = 7* 6
Answer:
7**6
Step-by-step explanation:
The expression 7^6 ; can be interpreted as 7 raised to the power of 6 ; which is (7 * 7 * 7 * 7 * 7 * 7). To execute this expression using a computer or basic mathematical operation on a computer we use the power symbol which the computer understand this the double multiplication symbol (**)
Hence, 7^6 = (7**6)
Help will give brailiest to first answer
question isn't loading
Step-by-step explanation:
Answer:
i think it is b but don't take my word
Step-by-step explanation:
the radius of a circle is 10 in. A second circle has a radius of 100 in. What is the ratio of the area of the smaller circle to the area of the larger circle?
What is the value of the following function when x = 0?
y
5
(x)
4
3
2
1
V 2
-54 -3
3
4
х
5
Answer:
y=-2 when x=0
Step-by-step explanation:
The value of the function f(x), When x = 0 is y = - 2.
What is a polynomial?A polynomial is an algebraic expression.
A polynomial of degree n in variable x can be written as,
a₀xⁿ + a₁xⁿ⁻¹ + a₂xⁿ⁻² +...+ aₙ.
What is a graph?The set of ordered pairings (x, y) where f(x) = y makes up the graph of a function.
These pairs are Cartesian coordinates of points in two-dimensional space and so constitute a subset of this plane in the general case when f(x) are real values.
From the graph of the function, it intersects the x-axis at two distinct places
so it is a polynomial of degree two.
Let the given function be f(x).
By observing the graph of the function f(x), When x = 0, f(x) = - 2.
Or y = - 2.
learn more about polynomials here :
https://brainly.com/question/11536910
#SPJ7
determine whether the point (1,5) is a solution to the system of equations g(x)=3x+2 f(x)=|x-1|+1. Explain your reasoning.
Mark Brainliest Please
Answer:
(0, 1) so (1,5) is not the solution and reason is given below
Step-by-step explanation:
To find the solution to these 2 functions, we just set up an equation where they're equal to each other:
3x+2 = |x-1|+1
Then, isolate the absolute value:
3x+1 = |x-1|
Now, to get rid of the absolute value sign, we can set the right-hand side to be the positive or negative version of itself.
First, let's set it to the negative version of itself:
3x+1 = -x+1
4x = 0
x = 0
Then, let's set it to the positive version of itself:
3x+1 = x-1
2x = -2
x = -2
We can now plug the x as 0 and -2 into any of the 2 equations above to find the solution for y:
3(0)+1 = 1, so the first solution will be (0, 1)
3(-2)+2 = -4.
You might be tempted to say that -4 is the y value for the 2nd solution, but notice that |x-1| will never be less than 0, so that would not work. Therefore, x = -2 isn't a solution either, which means it's an extraneous solution.
In conclusion, the solution to these equations is (0, 1).
look at pic 10 pts will mark brainilest
Answer:
Step-by-step explanation:
[tex]9\frac{1}{8} = 2\frac{1}{4} +x[/tex]
[tex]\frac{9*8+1}{8} =\frac{4*2+1}{4} +x[/tex]
[tex]\frac{73}{8} =\frac{9}{4} +x[/tex]
[tex]\frac{73}{8} =\frac{9+4*x}{4}[/tex]
do cross multiplication
[tex]8(4x+9)=4*73\\32x+72=292\\32x=292-72\\x=220/32\\x=6.875[/tex]
Pythagorean triples are super important to know. If the hypotenuse of a triangle is 15, what are its legs ( hint - use the three, four, five triple)
Answer:
9, 12
Step-by-step explanation:
Just multiply the 3,4,5 triple by 3 and u get 9, 12, 15
The distance to the grocery store is
13.456 miles. Round this distance to
the nearest whole number,
Answer: 13 miles
Step-by-step explanation: If you're rounding to the nearest whole number your answer should not consist of a decimal. You are rounding based on your tens place because you're trying to find the nearest whole number. Your tenths place value is 0.4. In order to know if you're rounding up or down you have to rememeber anything between 0-4 you round down (keep the number the same). Anything 5-9 you're rounding up the next number.
