Answer:
Therefore WE accept the Null hypothesis [tex]H_0[/tex] That 50.0% versus 52.4%.difference is real
Step-by-step explanation:
Sample size A [tex]n_a=100[/tex]
Sample size B [tex]n_b=250[/tex]
Positive draw from box A [tex]n_a=50[/tex]
Positive draw from box b [tex]n_b=131[/tex]
Generally the equation for Probability of Positive draw from Box A is mathematically given by
[tex]P_1=\frac{50}{100}[/tex]
[tex]P_1=50%[/tex]
Therefore
[tex]1-P_1=50\%[/tex]
Generally the equation for Probability of Positive draw from Box A is mathematically given by
[tex]P_1=\frac{131}{250}[/tex]
[tex]P_1=52.4%[/tex]
Therefore
[tex]1-P_1=47.6\%[/tex]
Generally the equation for Standard error S.E is mathematically given by
[tex]S.E=\sqrt{\frac{n_1(p_1)*(1-P_1)}{n_1^2}+\frac{n_2(P_2(1-p^2))}{n_2^2}}[/tex]
[tex]S.E=\sqrt{\frac{100(0.50)*(50)}{100^2}+\frac{(250)(0.524(47))}{250^2}}[/tex]
[tex]S.E=0.592[/tex]
[tex]S.E=59.2\%[/tex]
Therefore
[tex]Z=\frac{50-52.4}{59.2}[/tex]
Generally
[tex]P value P>0.05[/tex]
Therefore WE accept the Null hypothesis [tex]H_0[/tex] That 50.0% versus 52.4%.difference is real
2) Use the law of sines to find the length of SR
sin(A)/a=sin(B)/b=sin(C)/c
Answer:
take 28 degree as reference angle
using sine angle
sin28=p/h
0.46=10/h
0.46h=10
h=10/0.46
h=21.73
therefore hypotenuse =21.73
again using sine rule
take 25 degree as reference angle
sin 25=p/h
0.42=SR/21.73
0.42*21.73=SR
9.12=SR
9.1=SR
Step-by-step explanation:
A teacher is comparing the quarter grades between two of her classes. She takes a random sample of 8 students from each class and lists the grades as shown. Find the mean for Class A.
Class A: 80, 83, 74, 91, 76, 87, 93, 72
Class B: 90, 75, 82, 86, 73, 85, 79, 94
Find the area of each figure. Round to the nearest tenth if necessary.
Answer:
Solution given:
1.
diameter(d)=6mm
base(b)=8mm
height (h)=5mm
Area of figure=area of parallelogram +area of semi circle
base*height+½π(d/2)²8*5+½*π×(6/2)²40+14.1454.4mm²Area :54.14mm²2.
for triangle
base[b]=6ft
height(h)=9ft
for square
length[l]=9ft
Area of figure=area of square +area of triangle
=l²+½*b*h=9²+½*6*9=81+27=108ft²Area: 108ft²Mr. Poplin asked his students to write the following expression: "Two to the fifth power plus seven squared" Which answer choice shows this expression? A 52 - 27 B (2-5) + (7.2) © 25-74 D 2572
Answer:
B
Step-by-step explanation:
they rest The two by five and separate the square
Plz help me well mark brainliest if correct
all of the above which is e
Given that y2 is directly proportional to the cube of x and y is always positive. Find the
value of. when x = 3 if y = 18 when x =4
A) 27 B) 11.67 C) 29
Answer:
11.69
Step-by-step explanation:
Given that y2 is directly proportional to the cube of x and y is always positive. then;
y² = kx³
if y = 18 when x =4
18² = k4³
324 = 64k
k = 324/64
k = 5.0625
To get y when x = 3
Recall
y² = kx³
y² = (324/64)3³
y² = 324/64 * 27
y² = 136.6875
y = √136.6875
y = 11.69
Hence the value of y is 11.69
value of. when x = 3 if y = 18 when x =4
A) 27 B) 11.67 C) 29
solve the following equation 4 x + 10 = 66
-> 4x= 66-10
-> 4x= 56
-> x= 56/4
-> x= 14
mark me brainliestttt plsss :)))
Answer:
x = 14.
Step-by-step explanation:
4x + 10 = 66
4x + 10 - 10 = 66 - 10
4x = 56
x = 56/4 = 14.
In a small metropolitan area, annual losses due to storm, fire, andtheft are assumed to be independent, exponentially distributed random variableswith respective means 1.0, 1.5, 2.4. Determine the probability that the maximumof these losses exceeds 3.
Answer:
[tex]0.4138[/tex]
Step-by-step explanation:
Given
[tex]x \to storm[/tex]
[tex]\mu_x = 1.0[/tex]
[tex]y \to fire[/tex]
[tex]\mu_y = 1.5[/tex]
[tex]z \to theft[/tex]
[tex]\mu_z = 2.4[/tex]
Let the event that the above three factors is greater than 3 be represented as:
[tex]P(A > 3)[/tex]
Using complement rule, we have:
[tex]P(A > 3) = 1 - P(A \le 3)[/tex]
This gives:
[tex]P(A > 3) = 1 - P(\{x \le 3\}\ n\ \{y \le 3\}\ n \{z \le 3\}\)[/tex]
-----------------------------------------------------------------------------------------------------------
The exponential distribution formula of each is:
[tex]P(x \le k) = 1 - e^{-\frac{k}{\mu}}[/tex]
So, we have:
[tex]k = 3; \mu_x = 1[/tex]
[tex]P(x \le 3) = 1 - e^{-\frac{3}{1}} = 1 - e^{-3} = 0.9502[/tex]
[tex]k=3; \mu_y = 1.5[/tex]
[tex]P(y \le 3) = 1 - e^{-\frac{3}{1.5}} = 1 - e^{-2} = 0.8647[/tex]
[tex]k = 3; \mu_z = 2.4[/tex]
[tex]P(z \le 3) = 1 - e^{-\frac{3}{2.4}} = 1 - e^{-1.25} = 0.7135[/tex]
-----------------------------------------------------------------------------------------------------------
[tex]P(A > 3) = 1 - P(\{x \le 3\}\ n\ \{y \le 3\}\ n \{z \le 3\}\)[/tex]
[tex]P(A > 3) = 1 - (0.9502 * 0.8647 *0.7135)[/tex]
[tex]P(A > 3) = 1 - 0.5862[/tex]
[tex]P(A > 3) = 0.4138[/tex]
Move the values to the boxes to complete the inequality statement.
5<____<7<____<9____<11
Helppp
Answers:
first blank = not sure (see explanation below)second blank = 3*sqrt(6)third blank = 3pi============================================================
Explanation:
Use your calculator to compute 3*sqrt(6) = 7.348469 which is approximate.
We can see that 3*sqrt(6), aka 7.348469, is between 7 and 9
Do the same for 3pi to get 3pi = 9.424778 approximately. So this goes between 9 and 11
As for the first blank, between 5 and 7, it seems like an answer choice is missing. So I would ask your teacher about that. If your teacher meant it to be left blank, then just ignore it.
What are the main properties of a parallelogram?
use the parallelogram (ABEF) to help you
Answer:
It must be number 2.
1 and 3 number is wrong as parallelogram don't need have right angle
In order to determine if there is a significant difference between campuses and pass rate, the chi-square test for association and independence should be performed. What is the expected frequency of West Campus and failed
Answer:
57.5
Step-by-step explanation:
The expected frequency of West Campus and Failed :
Let :
Failed = F
East Campus = C
West Campus = W
Passed = P
Frequency of FnW :
[(FnE) + (FnW) * (PnW) + (FnW)] / total samples
[(52 + 63) * (63 + 37)] / 200
[(115 * 100)] / 200
11500 / 200
= 57.5
n(Failed n East campus)
Answer:
57.5
Step-by-step explanation:
Got it right on the test.
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Answer:
1/18
Step-by-step explanation:
[tex]\frac{1}{9}[/tex]÷2
make 2 a fraction
[tex]\frac{1}{9}[/tex]÷[tex]\frac{2}{1}[/tex]
cross multiply
1*1
9*2
[tex]\frac{1*1}{9*2}[/tex]
[tex]\frac{1}{18}[/tex]
Answer:
Step-by-step explanation:
You always invert the second number in a division question and then multiply. This one is a little different. It has three levels. What do you do about that?
[tex]\frac{\frac{1}{9} }{\frac{2}{1} }[/tex]
Now you have a four level question which is handled the same way as all four level question.
Invert the bottom and multiply. Invert means turn upside down. So you turn the 2/1 upside down and you get 1/2
[tex]\frac{1}{9}*\frac{1}{2}[/tex]
What you get is 1/18 The green box with the question mark is a 1.
HELPPP ILLL MARK BRAINLIEST
Which ordered pair represents a solution to both equations?
A (2, 0)
B (-3, -15)
C (0, -21)
D (3, 3)
See picture for Graph
28)A regression equation is obtained for a collection of paired data. It is found that the total variation is 24.488, the explained variation is 15.405, and the unexplained variation is 9.083. Find the coefficient of determination.
Answer: The coefficient of determination = 0.6291
Step-by-step explanation:
Given: Total variation is 24.488, the explained variation is 15.405, and the unexplained variation is 9.083.
The coefficient of determination is computed as:
[tex]\text{ coefficient of determination} =\frac{\text{explained variation }}{\text{total variation}}[/tex]
Substituting given values, we get
[tex]\text{coefficient of determination} =\frac{15.405}{24.488}[/tex]
[tex]=0.6291[/tex]
Therefore, the coefficient of determination = 0.6291
Order the following units of a capacity families to greatest gallon paint cup quart
Answer:
7 yards
Step-by-step explanation:
A researcher selects a sample and administers a treatment for anxiety to the individuals in the sample. If the sample is used for a hypothesis test, what does the null hypothesis (H0) put forth about the treatment? *
Answer:
H0 : the treatment has no effect
Step-by-step explanation:
The test is formulated as hypothesis . Here the test ist that whether the treatment has affected or not . So the null hypothesis can be formulated as
H0 : the treatment has no effect
against the claim
Ha: the treatment has an effect.
The null hypothesis is the test performed and the alternate hypothesis is the claim against the test. Therefore they are opposite of each other.
PLEASE HELP! ILL GIVE BRAINLIEST!! PLEASEE
The answer is A which is 30. :D
Answer:
30
Step-by-step explanation:
2x + x - 10 = 80
3x - 10 = 80
3x (- 10 + 10)= 80 + 10
3x = 90
3x/3 = 90/3
x = 30
help please ande hank ou
Answer:
5/27
Step-by-step explanation:
Solve the following system using any method.
−5x+7y=10
−9x−4y=18
Answer:
-2,0
Step-by-step explanation:
See the steps below:)
A scientist who studies teenage behavior was interested in determining if teenagers spend more time playing computer games then they did in the 1990s. In 1990s, the average amount of time spent playing computer games was 10.2 hours per week. Is the amount of time greater than that for this year
Answer:
mu = the population true mean time spent by teenagers playing computer game this year
Step-by-step explanation:
Dear student, there is no much information given to answer this question but we will try as much as possible to explain (what is the parameter) of the true mean.
In 1990s;
μ = 10.2 hours/week
From the information given,we understand that the parameter is linked to the population, and we're looking for the population average time spent playing computer games by teens in the current situation.
In this situation, the population parameter is the population true mean mu = the population true mean.
PLEASE HELP AS SOON AS POSSIBLE
Answer:
FALSE
TRUE
TRUE
Step-by-step explanation:
For median,
Arrange your numbers in numerical order.
Count how many numbers you have.
If you have an odd number, divide by 2 and round up to get the position of the median number.
If you have an even number, divide by 2. Go to the number in that position and average it with the number in the next higher position to get the median.
Source: https://www.verywellmind.com/how-to-identify-and-calculate-the-mean-median-or-mode-2795785
So for April median: 2.5, 3, 3.5, 3.5 (since we have 4 numbers we divide by 2 and we count by 2 places from left. Since we have even number data, we average 3 with the next higher position to get the median so (3+3.5)/2 = 3.25
For May apply same concept and you get median to be 2.25.
Median difference is 3.25-2.25 = 1
Therefore, statement 1 is false and statement 2 is true.
For average in May, add all numbers and divide by the number of data points so May= (2.5+3+3.5+3.5)/ 4 = 3.13
Apply same concept you for April and you get 2.38 as mean.
Mean difference is 3.13-2.38 = 0.75
Therefore, statement 3 is correct (true)
(CHILL REMINDER) I know it's difficult right now, and I know you want to give up, but now isn't the time to give up. *Everything is going to be okay, I promise.*
We are here to help you...
Join Pastel Wardrobe on Roxxxblox to enter our virtual cruise and giveaways!
Answer:
thanx for the reminder
Step-by-step explanation:
have a wonderful day :)
convert 4/5 into percent
Find, if possible, exact solutions for the quadratic equation. 7x^2 =
-28x
Answer:
X = 0, -4
Step-by-step explanation:
Symbolab helped
Need help with it I don’t know how to do it
Given f (x) = StartLayout Enlarged left-brace first row x squared minus one-third x, for x not-equals negative 1 second row negative 1, for x = negative 1 EndLayout. What is Limit of f (x) as x approaches negative 1?
Negative five-thirds
Negative four-thirds
Four-thirds
Five-thirds
Answer:
It's C, 4/3! Just did the question and got it right
Step-by-step explanation:
The limit of f(x) as x approaches negative 1 is four thirds.
What is Limits?Limits are defined as the value of a function as the input approaches a certain number. Limits are the concepts used essentially in calculus to define continuity, integrals and derivatives.
Given function is,
[tex]f(x) =\left \{ {{x^{2} -\frac{1}{3}x, x\neq -1 } \atop {-1, x=-1}} \right.[/tex]
We have to find the value of the limit as x approaches to negative 1.
This is not the same value as the value of the function at negative 1. Limit of the function as x approaches some value is the value of the function which is closest to the exact value of the function at the input.
We have,
f(x) = x² - [tex]\frac{1}{3}[/tex] x when x ≠ -1
Substitute x = -1 in the above equation
x² - [tex]\frac{1}{3}[/tex] x = (-1)² - (1 / 3) (-1)
= 1 + [tex]\frac{1}{3}[/tex]
= [tex]\frac{4}{3}[/tex]
[tex]\lim_{x \to -1} x^{2} -\frac{x}{3}[/tex] = [tex]\frac{4}{3}[/tex]
Hence the limit of f(x) = x² - [tex]\frac{1}{3}[/tex] x when x tends to -1 is 4/3.
To learn more about Limits, click on the link given below :
https://brainly.com/question/12207539
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a model truck is 13.5 inches long 7.5 inches wide. the original truck was 12 feet long. how wide was the truck?
Answer:
w = 6ft 8in
Step-by-step explanation:
the proportions will be the same
w/7.5 = 12/13.5
multiply both sides by 7.5
w = 12/13.5 * 7.5
w = 6.6666666667ft
w = 6ft 8in
The original truck was 6.67 feet wide.
What is ratio?"It is a comparison of two or more numbers that indicates their sizes in relation to each other."
What is proportion?"It is an equation in which two ratios are set equal to each other."
For given example,
A model truck is 13.5 inches long 7.5 inches wide.
The ratio of length to width of a model truck would be,
13.5 : 7.5 ...........................(1)
The original truck was 12 feet long.
This means the original truck was 144 inches long.
Let 'x' be the width (in inches) of the original truck.
So, the ratio of the length to the width of the original truck would be,
144 : x .................................(2)
Also, the ratios given by (1) and (2) must be in proportion.
[tex]\Rightarrow \frac{13.5}{7.5} = \frac{144}{x} \\\\\Rightarrow 13.5 \times x = 144 \times 7.5\\\\\Rightarrow \bold{x=80~inches}\\\\\Rightarrow \bold{x=6.67~feet}[/tex]
Therefore, the original truck was 6.67 feet wide.
Learn more about ratio and proportion here:
https://brainly.com/question/26974513
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Which of the following CANNOT be true for a triangle?
A. A triangle can be equilateral and obtuse at the same time.
B. A triangle can be equilateral and equiangular at the same time.
C. A triangle can be isosceles and right at the same time.
D. A triangle can be scalene and obtuse at the same time.
Answer:
A. A triangle can be equilateral and obtuse at the same time
Step-by-step explanation:
All angles in an equilateral triangle are 60° therefore they cannot be above 90° and less than 180°
ellus
Find the surface area of the composite figure.
2 cm
7 cm
2 cm
12 cm
12 cm
7 cm
7 cm
SA = [?] cm2
Answer:
SA = 484 cm²
Step-by-step explanation:
Surface area of the composite figure = surface area of the larger rectangular prism + (surface area of the smaller rectangular prism - base area of the smaller rectangular prism)
✔️Surface are of the larger rectangular prism = 2(LW + LH + WH)
L = 7 cm
W = 7 cm
H = 12 cm
S.A = 2(7*7 + 7*12 + 7*12) = 434 cm²
✔️Surface are of the smaller rectangular prism = 2(LW + LH + WH)
L = 7 cm
W = 2 cm
H = 2 cm
S.A = 2(7*2 + 7*2 + 2*2) = 64 cm²
✔️Base area of the smaller rectangular prism = L*W
L = 7 cm
W = 2 cm
Area = 7*2 = 14 cm²
✅Surface area of the composite figure = 434 + (64 - 14)
= 434 + 50
= 484 cm²
I need help on this question
Answer:
C. y = 8x
Step-by-step explanation:
Using the slope formula, we can calculate the rate of Marisol's and Timothy's Machines.
[tex]m = \frac{y_1-y_2}{x_1-x_2}[/tex]
Marisol:
[tex]m = \frac{18-12}{3-2} \\m=6[/tex]
Timothy:
[tex]m=\frac{54-36}{6-4} \\m=\frac{18}{2} \\m=9[/tex]
Now that we know the rate of their machines, we need to choose a rate that is between 6 and 9. Therefore, the rate of Zorian's machine needs to be y = 8x.