Answer: 14
Step-by-step explanation:
HELPPPPPPPPP????????????
Answer:
136
Step-by-step explanation:
Angle G and Angle H are corresponding angles so they equal themselves;
6x + 34 = 8x
Subtract 6x from both sides;
34 = 2x
Divide both sides by 2;
x = 17
Angle H;
8x = 8(17) = 136
Some red, white, and blue candies were placed in a bowl. Some contain nuts,
and some do not. Suppose one of the candies were chosen randomly from all
the candies in the bowl. Which of the following represents a conditional
probability?
Answer:b the probabilty that it contains nuts and is white
Step-by-step explanation:im sorry if this is wrong but its the only one that makes sense to me
Conditional probability is represented by probability that the candy is blue
What is Conditional probability?The concept of the conditional probability formula is one of the quintessential concepts in probability theory. The conditional probability formula gives the measure of the probability of an event, say B given that another event, say A has occurred.
The Bayes' theorem is used to determine the conditional probability of event A, given that event B has occurred, by knowing the conditional probability of event B, given that event A has occurred, also the individual probabilities of events A and B.
: In case P(B)=0, the conditional probability of P(A | B) is undefined. (the event B did not occur)
Given:
Some red, white, and blue candies were placed in a bowl.
Some contain nuts, and some do not
Here we are only focusing on the red candy which shows we have reduce the sample space.
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solve the problem. the resistance of a wire varies directly as its length and inversely as the square of its diameter. a 50-ft wire with a 0.4-in. diameter has a resistance of 0.0125ω. find the resistance of a 20-ft wire with a diameter of 0.1-in. round to 4 decimal places if necessary.
The resistance of a 20-ft wire with a diameter of 0.1-in is 0.08ω
How to determine the resistance of a 20-ft wire with a diameter of 0.1-in?The variation is given as:
Resistance varies directly as its length and inversely as square of diameter
Mathematically, this is represented as
R =kL/D^2
Where k represents the constant of variation.
When L = 50, D = 0.4 in and R = 0.0125, we have
0.0125 =k * 50/0.4^2
This gives
k = 0.4^2 * 0.0125/50
Evaluate
k = 0.00004
Substitute k = 0.00004 in R =kL/D^2
R = 0.00004L/D^2
When L = 20-ft wire and D = 0.1-in, we have:
R = 0.00004 * 20/(0.1)^2
Evaluate
R = 0.08
Hence. the resistance of a 20-ft wire with a diameter of 0.1-in is 0.08ω
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Make sure to include answers on a word document - And any calculations as a jpeg or pdf file A random sample of 429 college students was interviewed about a number of matters. Use the results to construct confidence intervals estimates of the population mean at the 99% level for 1a and 1 b. Questions 2 and 3 require difference in means test. 1a) They reported that they had spent an average of $478.23 on textbooks during the previous semester with a sample standard deviation of $15.78 1b) On average, the sample had missed 2.8 days of classes per semester due to illness, with a sample standard deviation of 1.0. 2) Statewide, the average score on the verbal portion of the college entrance exam is 453 , with a standard deviation of 95 . A random sample of 137 seniors at Littlewood Regional High School shows a mean score of 502 . Is there a statistically significant difference? 3) A random sample of 423 Chinese Americans drawn from the population of a particular state has finished with an average of 12.7 years of formal education with a standard deviation of 1.7. Is this significantly different from the statewide average of 12.2 years?
Confidence intervals provide a range of values that likely contain the true population parameter. A two-tailed z-test showed significant differences in mean scores for the verbal exam and years of education compared to the statewide average.
1a) Mean, x = $478.23, Standard deviation, s = $15.78, Sample size, n = 429, Confidence level, C.L = 99%. As the sample size is greater than 30, we can use z-test.\(\[Z = \frac{\left( {x - \mu } \right)}{\frac{s}{\sqrt n }}\]\Rightarrow Z = \frac{\left( {478.23 - \mu } \right)}{\frac{{15.78}}{{\sqrt {429} }}}\]\)
At 99% confidence level, level of significance (α) = 1% = 0.01. So, α/2 = 0.005 as the test is two-tailed. So, the level of confidence (C.L) = 99% = (1 - α) × 100% = 99%. At a 99% confidence level, the critical value, Zc = 2.58 (approx)
Calculation\(:\[2.58 = \frac{\left( {478.23 - \mu } \right)}{\frac{{15.78}}{{\sqrt {429} }}}\]\Rightarrow \frac{{2.58 \times \frac{{15.78}}{{\sqrt {429} }}}}{{478.23 - \mu }} = 1\]\). Taking reciprocal on both sides, we get,\(\[\frac{{478.23 - \mu }}{{2.58 \times \frac{{15.78}}{{\sqrt {429} }}}} = 1\]\Rightarrow 478.23 - \mu = 2.58 \times \frac{{15.78}}{{\sqrt {429} }}\]\Rightarrow \mu = 478.23 - 2.58 \times \frac{{15.78}}{{\sqrt {429} }}\]\).
The lower limit of the confidence interval, \(LCL \[= \mu - Zc\left( {\frac{s}{{\sqrt n }}} \right) = 478.23 - 2.58\left( {\frac{{15.78}}{{\sqrt {429} }}} \right)\]\)
The upper limit of the confidence interval, \(UCL \[= \mu + Zc\left( {\frac{s}{{\sqrt n }}} \right) = 478.23 + 2.58\left( {\frac{{15.78}}{{\sqrt {429} }}} \right)\]\). Thus, the 99% confidence interval for the mean of the population of textbook spending is $475.29 to $481.17.1
b) Mean, x = 2.8, Standard deviation, s = 1.0, Sample size, n = 429, Confidence level, C.L = 99%. As the sample size is greater than 30, we can use z-test.
\(\[Z = \frac{\left( {x - \mu } \right)}{\frac{s}{\sqrt n }}\]\Rightarrow Z = \frac{\left( {2.8 - \mu } \right)}{\frac{1}{{\sqrt {429} }}}\].\) At 99% confidence level, level of significance (α) = 1% = 0.01. So, α/2 = 0.005 as the test is two-tailed. So, the level of confidence (C.L) = 99% = (1 - α) × 100% = 99%. At a 99% confidence level, the critical value, Zc = 2.58 (approx)
Calculation:\(\[2.58 = \frac{\left( {2.8 - \mu } \right)}{\frac{1}{{\sqrt {429} }}}} \Rightarrow \frac{{2.58 \times \frac{1}{{\sqrt {429} }}}}{{2.8 - \mu }} = 1\]\). Taking reciprocal on both sides, we get,\(\[\frac{{2.8 - \mu }}{{2.58 \times \frac{1}{{\sqrt {429} }}}}\]\). Thus, the 99% confidence interval for the mean of the population of missed classes is 2.68 to 2.92.
2) Mean, x = 502, Standard deviation, s = 95, Sample size, n = 137, Level of significance (α) = 0.05. At a 5% level of significance, we can assume the distribution to be normal as n > 30. Critical value of Z at α/2 = 0.025 level of significance = 1.96 (approx)
Calculation\(:\[Z = \frac{{\left( {x - \mu } \right)}}{{\frac{s}{{\sqrt n }}}} = \frac{{\left( {502 - 453} \right)}}{{\frac{{95}}{{\sqrt {137} }}}} = 4.055\]\). As Z > Zc, we can reject the null hypothesis. Therefore, there is a statistically significant difference in the mean score of the verbal portion of the college entrance exam.
3) Mean, x = 12.7, Standard deviation, s = 1.7, Sample size, n = 423, Level of significance (α) = 0.05, Population mean, μ = 12.2. At a 5% level of significance, we can assume the distribution to be normal as n > 30. Z-test is used to test the difference in means.
\(\[Z = \frac{{\left( {\rm{x}} - \rm{y}}} \right) - \left( {\rm{\mu }}_\rm{x}} - \rm{\mu }}_\rm{y}}} \\\right)}}{{\sqrt \frac{{\rm{s}}_{\rm{x}}^2}}{\rm{n}} + \frac{{\rm{s}}_\rm{y}}^2}}\rm{m}}} }\]\), where x is the sample, y is the population, σ is the standard deviation, and n is the sample size.
Calculation:\(\[Z = \frac{{\left( {12.7 - 12.2} \right) - 0}}{{\sqrt {\frac{{1.7^2}}{423} + \frac{{0^2}}{n}}} } = 5.933\]\). As Z > Zc, we can reject the null hypothesis. Therefore, it is significantly different from the statewide average of 12.2 years.
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Use the given information to find the exact function value. Simplify your answer as much as possible. Ratonalue the denominator if necessary.
Cos t = -2/5, t in Quadran II
Part 1 of 3
(a) sin 2t =
Part 2 of 3
(b) cos 2t =
Part 3 of 3
(c) tan 2t =
The exact function values are:
(a) sin 2t = -4/5
(b) cos 2t = -3/5
(c) tan 2t = 4/3
In Quadrant II, the sine of the t is positive and the cosine of the t is negative. After Using the double angle formulas, we can easily find the values of sin 2t, cos 2t, and tan 2t.
(a) sin 2t = 2sin t cos t = 2(-2/5)(-3/5) = -4/5
(b) cos 2t = cos² t - sin² t = (-3/5)² - (-2/5)² = -9/25 - 4/25 = -3/5
(c) tan 2t = (2tan t)/(1-² t) = (2(-2/5))/(1-(-2/5)²) = 4/3.
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a hexadecimal number is a number written in the base 16 number system.
t
f
True. Hexadecimal numbers are written using the base 16 number system, where digits range from 0 to 9 and A to F. They are commonly used in computer systems for concise representation and easy conversion to binary.
In the hexadecimal number system, there are 16 symbols used to represent values, namely 0-9 and A-F. Each digit in a hexadecimal number represents a multiple of a power of 16.
The symbols 0-9 represent the values 0-9, respectively. The symbols A-F represent the values 10-15, respectively, where A represents 10, B represents 11, C represents 12, D represents 13, E represents 14, and F represents 15.
For example, the hexadecimal number "3F" represents the value (3 * 16^1) + (15 * 16^0) = 48 + 15 = 63 in decimal.
Similarly, the hexadecimal number "AB8" represents the value (10 * 16^2) + (11 * 16^1) + (8 * 16^0) = 2560 + 176 + 8 = 2744 in decimal.
Hexadecimal numbers are commonly used in computer systems, as they provide a convenient way to represent large binary numbers concisely. Each hexadecimal digit corresponds to a four-bit binary number, allowing for easy conversion between binary and hexadecimal representations.
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!!POINTS!!
I need the answer to this, if you can show work that would be amazing!! if not, jsut send the equation
Answer:
so like would that be a cute
Step-by-step explanation:
because it's under 90 degrees
Color of socks white black blue brown
Number of socks 9 2 6 5
From the table, the ratio of white socks to brown socks is 9:5
Select two ratios equivalent to the ratio of white socks to brown socks.
A: 36:21
B : 27:15
C: 5:28
D: 36:20
Answer:
b or d
Step-by-step explanation:
Evaluate the function for f(10),f(x)=-2x+13
Answer:
-7
Step-by-step explanation:
f(10) = -2* 10 +13
= -20 + 13
= -7
meaning of cube root
A store owner buys cell phones for $40 and marks up the price by 25%. What is the sale price of a phone?
Answer:
$50
Step-by-step explanation:
Price of the cell phone bought p = $40
% of markup in price = 25%
Selling price of the cell phone = p + (%)p
Selling price of the cell phone = P + (0.25)p
Selling price of the cell phone = p + 0.25p
Selling price of the cell phone = 1.25p
Selling price of the cell phone = 1.25 * $40
Selling price of the cell phone = $50
david drives from his home to the airport to catch a flight. he drives 3535miles in the first hour, but realizes that he will be 11hour late if he continues at this speed. he increases his speed by 1515miles per hour for the rest of the way to the airport and arrives 3030 minutes early. how many miles is the airport from his home?
David takes a car to get to the airport in time for his trip. 210 miles distance is the airport from his house in miles.
Given that,
David takes a car to get to the airport in time for his trip. He travels 35 miles in the first hour but understands that if he keeps going at this rate, he will be one hour late. For the final 15 miles to the airport, he speeds up by 15 mph and gets there 30 minutes early.
We have to find how far is the airport from his house in miles.
Distance traveled after 1 hour
Let us take the distance traveled after first 1 hour as y
Distance/speed = time
After 1 hour his speed = (35 + 15) = 50 mph
Total time count of 1 hour and 30 mins is 1.5 hr
y/50 + 1.5 = y/35
Multiply through by350
7y + 525 = 10y
3y = 525
y = 525/3
y = 175 miles
In the first 1 hour, at 35 mph, distance covered = 35 miles
Distance from his home to airport = 175 miles + 35 miles = 210 miles
Therefore, the distance between David's home and the airport is 210 miles.
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Please answer quickly I need it asap ill give brainiest!!!
The correct matching of the items of math in the columns is:
a number that has more factors than just 1 and itself - composite numbersmallest number that all the given denominators divide into evenly - least common denominatordata grouped using non-numerical criteria - categorical datafractions with the same numerical value; fractions that are equal to each other - equivalent fractionsa line segment that goes through the center of the circle to connect two points on the circle - diametera plane figure that is one side of a solid figure - facethe measurement of the space inside a plane figure - areaa shape or object that has been transformed - imagehaving the same exact size and shape - congruentWhat are some terms in math ?A composite number is a number that possesses additional factors besides 1 and its own value. The smallest number that can be divided evenly by all the denominators given is known as the least common denominator.
Non-numeric criteria are used to group data in categorical data. Fractions that have identical numerical values are referred to as equivalent fractions. When a line segment passes through the center of a circle and joins two points on its circumference, it is known as the circle's diameter.
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There are ten songs on your playlist. Four of them are country and six are pop. With random shuffle and no repetition, you listen to four songs. What is the probability that you listened to all country songs?
the solomon four-group design utilizes how many control groups?
The Solomon four-group design includes two control groups: one that is not pretested and does not receive treatment, and another that is not pretested but receives treatment.
In the Solomon four-group design, there are two treatment groups and two control groups. The purpose of this design is to examine the interaction effect between pretesting and treatment.
The first control group does not receive any treatment, while the second control group also does not receive treatment but is pretested. These two control groups help to measure the impact of pretesting on the dependent variable.
The two treatment groups receive the treatment being studied, with one group being pretested and the other group not being pretested. By comparing the pretested and non-pretested treatment groups, researchers can determine if there is an interaction effect between pretesting and the treatment.
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50% of the tickets sold an amusement park or a discount tickets at the park sold 94 tickets to know how many discount tickets did it sell
we have that
50%=50/100=0.50
Multiply the total tickets sold by the factor of 0.50
so
94*0.50=47 tickets
the answer is 47 ticketswhich colonial power colonized Ghana?
Answer:
The british
Step-by-step explanation:
Answer:
The Britsh
Step-by-step explanation:
Formal colonialism first came to the region we today call Ghana in 1874, and British rule spread through the region into the early twentieth century. The British called the territory the “Gold Coast Colony."
A 95% confidence interval of a population proportion has the limits of (64.5%,75.3%). What is the margin of error
Hence, the margin of error for this 95% confidence interval of a population proportion is 5.4%.
The margin of error for a confidence interval is the distance between the sample statistic (in this case, the sample proportion) and the confidence interval limits. To find the margin of error, we can use the formula:
Margin of error = (upper limit - lower limit) / 2
In this case, the lower limit of the 95% confidence interval is 64.5% and the upper limit is 75.3%. So the margin of error is:
Margin of error = (75.3% - 64.5%) / 2
Margin of error = 10.8% / 2
Margin of error = 5.4%
Therefore, the margin of error for this 95% confidence interval of a population proportion is 5.4%.
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The managers of an airline analyzed a random sample of flights and found that 95% of the flights arrived on time. The airline has 480 flights scheduled for next week. What is the BEST estimate of the number of these flights that will NOT arrive on time?
Answer:
456
Step-by-step explanation:
Answer:
24
Step-by-step explanation:
\Which set does not contain –3?
the set of all real numbers
the set of all integers
the set of all whole numbers
the set of all rational numbers
Answer:
The set of all whole numbers
Step-by-step explanation:
Real numbers, integers, and rational numbers can all contain negative numbers. Whole numbers include numbers from 0 and up.
Hope this helps!
Have a nice day
help please i dont get this
14
Step-by-step explanation:
I'm pretty sure it's 14
What is an equation of the line that passes through the points (-1, 4) and (1, -6)?
Answer: y=-5x-1
Step-by-step explanation:
The two given points are (-1,4) and (1.-6)
We can then use the slope formula (Y2-Y1)/(X2-X1) to find the slope
4-(-6)/ -1-1 = 10/-2 = -5
Slope is -5
We then plug the slope in a set of points to find the y intercept
-5*-1+x = 4
5+x=4
x=-1
Then just add these two together to form the equation of y=mx+b
y=-5x-1
y=−2x−4 y=3x+3
a[ifinite solutions
b[one solution
c[no solutions
Answer:
x= -7/5
y=-6/5
one solution I believe. Hope this helps!
Determine whether or not the triangle with the given side lengths is a right triangle.
60 inches, 11 inches, 61 inches
leg a
in
leg b =
in
hypotenuse c =
in
Right triangle? Yes or No.
Pls answer questions 1-3 with a proper answer
Answer: 1. (a) is 50 cents, (b) is 75 cents, and (c) is 50 cents.
2. It weighed 2-3 (2 to 3) ounces.
3. If we're being honest, I forgot how to do this type problem but the other two I'm sure of.
Step-by-step explanation:
3, is less than, x, minus, 10
Answer:
= or >14
Step-by-step explanation:
x needs to be equal to or greater than 14
Please help me with this question and show your steps
Answer:
-14
Step-by-step explanation:
4n - 6 , n= -2
= 4* (-2) - 6
= -8 -6
= - 14
Write a program that reads an integer and displays, using asterisks, a filled diamond of the given side length. For example, if the side length is 4, the program should display.
Answer:
import java.util.Scanner;
public class Main {
public static void main(String[] args) {
Scanner input = new Scanner(System.in);
int n = input.nextInt();
int l = 1;
for(int i=1; i <= n; i++){
for(int j=1; j<= l; j++){
System.out.print("*");
}
System.out.println();
l = l + 2;
}
l = l - 4;
for(int i=1; i < n; i++){
for(int j=1; j <= l; j++){
System.out.print("*");
}
System.out.println();
l = l-2;
Step-by-step explanation:
To begin, utilize a Scanner object to receive an integer as input (Line 5-6).
To print the upper section of the diamond form, make the first set of inner loops (Line 8-14). The variable l specifies the maximum number of asterisks that can be written in each row.
Create another inner loop to print the diamond shape's lower half (Line 17-23). The same variable l is used to specify the maximum number of asterisks to appear in each row.
Find the solution to the differential equationdz/dt=7te^(3z)that passes through the origin.
To find the solution to the differential equation dz/dt=7te^(3z) that passes through the origin, we can use separation of variables. The solution to the differential equation dz/dt = 7te^(3z) that passes through the origin is z(t) = (-1/3)ln((-3/7)t^2 - 1/3).
First, we write the equation as:
1/e^(3z) dz/dt = 7t
Then, we integrate both sides with respect to t and z:
∫1/e^(3z) dz = ∫7t dt
Solving the integral on the left side, we get:
-1/3 e^(-3z) = 7t^2/2 + C
where C is the constant of integration.
To find the value of C that satisfies the condition of passing through the origin, we substitute t=0 and z=0 into the equation:
-1/3 e^(0) = 7(0)^2/2 + C
-1/3 = C
Therefore, the solution to the differential equation dz/dt=7te^(3z) that passes through the origin is:
-1/3 e^(-3z) = 7t^2/2 - 1/3
To find the solution to the differential equation dz/dt = 7te^(3z) that passes through the origin, follow these steps:
1. Identify the given differential equation: dz/dt = 7te^(3z).
2. Notice that this is a first-order, separable differential equation. Separate the variables by dividing both sides by e^(3z) and multiplying both sides by dt:
(1/e^(3z))dz = 7t dt
3. Integrate both sides of the equation with respect to their respective variables:
∫(1/e^(3z))dz = ∫7t dt
4. Evaluate the integrals:
(-1/3)e^(-3z) = (7/2)t^2 + C
5. Solve for z:
e^(-3z) = (-3/7)t^2 + C*(-3)
6. Apply the initial condition that the solution passes through the origin (t = 0, z = 0):
e^(0) = (-3/7)(0)^2 + C*(-3)
1 = 0 + C*(-3)
7. Solve for C:
C = -1/3
8. Plug the value of C back into the equation for z:
e^(-3z) = (-3/7)t^2 - 1/3
9. Finally, to find the solution in terms of z(t), take the natural logarithm of both sides:
-3z = ln((-3/7)t^2 - 1/3)
10. Isolate z:
z(t) = (-1/3)ln((-3/7)t^2 - 1/3)
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Romeo used a mirror to determine the height of Juliet’s window. He stood 0.5m from the mirror and the mirror is
5.0m away from Juliet’s window. If Romeo is 1.6m tall, how high is the window?