Answer:
The triangles are not congruent
Step-by-step explanation:
Triangle ABC is congruent to triangle DEF
Triangle ABC is congruent to triangle FED
Two trianges ABC and DEF are given on a coordinate plane
In a certain college, 33% of the physics majors belong to ethnic minorities. Find the probability of the event from a random sample of 10 students who are physics majors.
Answer:
The probability that no more than 6 students belong to a ethnic minority is 0.9815.
Step-by-step explanation:
The question is incomplete:
In a certain college, 33% of the physics majors belong to ethnic minorities. If 10 students are selected at random from the physics majors, what is the probability that no more than 6 belong to an ethnic minority?
We can model this with a random variable, with sample size n=10 and probability of success p=0.33.
The probability that k answers are guessed right in the sample is:
[tex]P(x=k)=\dbinom{n}{k}p^k(1-p)^{n-k}=\dbinom{10}{k}\cdot0.33^k\cdot0.67^{10-k}[/tex]
We have to calculate the probability that 6 or less students belong to a ethnic minority. This can be calculated as:
[tex]P(x\leq6)=P(x=0)+P(x=1)+P(x=2)+P(x=3)+P(x=4)+P(x=5)+P(x=6)\\\\\\[/tex]
[tex]P(x=0)=\dbinom{10}{0}\cdot0.33^{0}\cdot0.67^{10}=1\cdot1\cdot0.0182=0.0182\\\\\\P(x=1)=\dbinom{10}{1}\cdot0.33^{1}\cdot0.67^{9}=10\cdot0.33\cdot0.0272=0.0898\\\\\\P(x=2)=\dbinom{10}{2}\cdot0.33^{2}\cdot0.67^{8}=45\cdot0.1089\cdot0.0406=0.1990\\\\\\P(x=3)=\dbinom{10}{3}\cdot0.33^{3}\cdot0.67^{7}=120\cdot0.0359\cdot0.0606=0.2614\\\\\\[/tex]
[tex]P(x=4)=\dbinom{10}{4}\cdot0.33^{4}\cdot0.67^{6}=210\cdot0.0119\cdot0.0905=0.2253\\\\\\P(x=5)=\dbinom{10}{5}\cdot0.33^{5}\cdot0.67^{5}=252\cdot0.0039\cdot0.135=0.1332\\\\\\P(x=6)=\dbinom{10}{6}\cdot0.33^{6}\cdot0.67^{4}=210\cdot0.0013\cdot0.2015=0.0547\\\\\\\\\\\\[/tex]
[tex]P(x\leq6)=0.0182+0.0898+0.1990+0.2614+0.2253+0.1332+0.0547\\\\\\P(x\leq6)=0.9815[/tex]
The probability that 6 or less students belong to a ethnic minority is 0.9815.
BRAINLIEST ANSWER WINS! A satellite is to be put into an elliptical orbit around a moon as shown below. A vertical ellipse is shown surrounding a spherical object labeled, moon. The moon is a sphere with radius of 1000 km. Determine an equation for the ellipse if the distance of the satellite from the surface of the moon varies from 953 km to 466 km.
Answer:
D. x²/1953² + y²/ 1466² = 1
Step-by-step explanation:
==>Given:
Radius of spherical moon = 1000km
Distance of satellite from moon surface = 953km to 466km
==>Required:
Derived equation of ellipse
==>Solution:
The formula for driving an equation of ellipse is given as:
x²/a² + y²/b² = 1
Where,
a = length of the semi-major axis, while,
b = length of the semi-major axis
Since we are told that the satellite distance to the surface of the moon varies from 953km to 466km, values of a and b is calculated by summing each length to the radius of the moon as follows:
a = radius of moon + the larger distance of the satellite = 1000+953 = 1,953km
b = radius of moon + the smaller distance of the satellite = 1000+466 = 1,466km
Thus, the equation of the ellipse would be:
x²/1953² + y²/ 1466² = 1
if 7+5i is a zero of a polynomial function of degree 5 with coefficients, then so is _.
Answer: If 7+5i is a zero of a polynomial function of degree 5 with coefficients, then so is its conjugate 7-i5.
Step-by-step explanation:
We know that when a complex number [tex]z=a+ib[/tex] is a root of a polynomial with degree 'n' , then the conjugate of the complex number ([tex]\overline{z}=a-ib[/tex]) is also a root of the same polynomial.Given: 7+5i is a zero of a polynomial function of degree 5 with coefficients
Here, 7+5i is a complex number.
So, it conjugate ([tex]\overline{7+5i}=7-5i[/tex]) is also a zero of a polynomial function.
Hence, if 7+5i is a zero of a polynomial function of degree 5 with coefficients, then so is its conjugate 7-i5.
If 7+5i is a zero of a polynomial function of degree 5 with coefficients, then so is its conjugate which is 7 - 5i
The standard form of writing complex numbers with real and imaginary values is expressed as:
z = x + iy
The conjugate of the complex number will be y = x - iy
A complex number and its conjugate both have the same degree with coefficient.Given the polynomial 7 + 5i. If 7+5i is a zero of a polynomial function of degree 5 with coefficients, then so is its conjugate which is 7 - 5i
Learn more here: https://brainly.com/question/18018849
Find the x- and y-intercepts of −4x+y=4. (Enter each intercept in the form (a,b).)
Answer:
(-1, 4)
Step-by-step explanation:
Can somebody help me with this question
Answer: [tex]x^{2} + 8x[/tex]
Step-by-step explanation:
In a triangle A = 1/2bh.
Thus, multiply 1/2 * 2x * (x+8)
x(x+8)
[tex]x^{2} + 8x[/tex]
Does this table represent a function? Why or why not?
х
y
0
4
7
8
5
5
8
8
10
9
A. No, because two of the y-values are the same.
B. Yes, because there are two x-values that are the same,
C. Yes, because every x-value corresponds to exactly one y-value.
D. No, because one x-value corresponds to two different y-values.
Answer:
no because one x value corresponds to two different y values
IM SOO CONFUSEDD help???
Answer:
D.
Step-by-step explanation:
To tell whether the domains can include 0, all you need to do is find where x = 0, and whether the y-value is real.
h(x) = sqrt(2x^2 + 5x - 3)
= sqrt(0^2 + 5 * 0 - 3)
= sqrt(-3)
Since this includes the square root of a negative number, h(0) is an imaginary number. That means that we can eliminate choices A and B.
If you look at the graph of w(x), when x = 0, there is a real value for the y-value on the graph. But, if you think about it, if you have 0 workers, there is no way that you can still be producing wrenches. So, the domain cannot contain 0.
Your answer will be D.
Hope this helps!!
Transformation of exponential functions need help ASAP
Answer:
These are vertical transformations because the parent function is being translated up and down which are vertical directions.
It takes Darline 20 minutes to drive to work in light traffic. To come home when there is heavy traffic, it takes her 36 minutes. Her speed in light traffic is 24 miles per hour faster than her speed in heavy traffic. Find her speed in light traffic and in heavy traffic.
Answer:
Her speed in heavy traffic = 30 miles per hr
Her speed on light traffic = 24 + 30 = 54 miles per hr
Step-by-step explanation:
It takes Darline 20 minutes to drive to work in light traffic. To come home when there is heavy traffic she uses 36 minutes.
The distance covered is the same.
Light traffic
speed = distance/time
speed = distance/20
speed = 24 + y
24 + y = distance/20
cross multiply
distance = (24 + y) × 20
distance = 480 + 20y
Heavy traffic
speed = distance/time
speed = distance/36
let speed = y
36y = distance
480 + 20y = 36y
480 = 36y - 20y
480 = 16y
y = 480/16
y = 30
Her speed in heavy traffic = 30 miles per hr
Her speed on light traffic = 24 + 30 = 54 miles per hr
A random sample of 32 salespersons with a degree had an average weekly sale of $3599 last year, while 35 salespersons without a college degree averaged $3311 in weekly sales. The standard deviations were $468 and $642 respectively.
Required:
Is there evidence at the 5% level to support the retailer's belief?
Answer:
There is enough evidence to support the claim that the average sales are significantly greater for salespersons with a college degree than for salespersons without it.
Step-by-step explanation:
The question is incomplete:
"A national computer retailer believes that the average sales are greater for salespersons with a college degree. A random sample of 32 salespersons with a degree had an average weekly sale of $3599 last year, while 35 salespersons without a college degree averaged $3311 in weekly sales. The standard deviations were $468 and $642 respectively.
Required:
Is there evidence at the 5% level to support the retailer's belief?"
This is a hypothesis test for the difference between populations means.
The claim is that the average sales are significantly greater for salespersons with a college degree than for salespersons without it.
Then, the null and alternative hypothesis are:
[tex]H_0: \mu_1-\mu_2=0\\\\H_a:\mu_1-\mu_2> 0[/tex]
The significance level is 0.05.
The sample 1 (college degree), of size n1=32 has a mean of 3599 and a standard deviation of 468.
The sample 2 (non-college degree), of size n2=35 has a mean of 3311 and a standard deviation of 642.
The difference between sample means is Md=288.
[tex]M_d=M_1-M_2=3599-3311=288[/tex]
The estimated standard error of the difference between means is computed using the formula:
[tex]s_{M_d}=\sqrt{\dfrac{\sigma_1^2}{n_1}+\dfrac{\sigma_2^2}{n_2}}=\sqrt{\dfrac{468^2}{32}+\dfrac{642^2}{35}}\\\\\\s_{M_d}=\sqrt{6844.5+11776.114}=\sqrt{18620.614}=136.4574[/tex]
Then, we can calculate the t-statistic as:
[tex]t=\dfrac{M_d-(\mu_1-\mu_2)}{s_{M_d}}=\dfrac{288-0}{136.4574}=\dfrac{288}{136.4574}=2.11[/tex]
The degrees of freedom for this test are:
[tex]df=n_1+n_2-2=32+35-2=65[/tex]
This test is a right-tailed test, with 65 degrees of freedom and t=2.11, so the P-value for this test is calculated as (using a t-table):
[tex]\text{P-value}=P(t>2.11)=0.019[/tex]
As the P-value (0.019) is smaller than the significance level (0.05), the effect is significant.
The null hypothesis is rejected.
There is enough evidence to support the claim that the average sales are significantly greater for salespersons with a college degree than for salespersons without it.
Of the 35 jewelers in her town, Naomi polled the 5 biggest to learn about the latest jewelry trends. Her sample is . The sample is of the jewelers in Naomi’s town.
Answer:
Step-by-step explanation:
Her sample is of a portion/part of the population of jewelers in her town
Her sample is also biased and id not a representation of the population in that she sampled on the biggest jewelers without considering the smaller one which might possibly have the latest jewelry trends.
Answer: It is Bias and not representative
Step-by-step explanation:
Evaluate the following:
Answer:
csc∅ = 25/7
sec∅ = 25/24
cot∅ = 24/7
Step-by-step explanation:
Cosecant (csc) is 1/sin∅ or hypotenuse over opposite
Secant (sec) is 1/cos∅ or hypotenuse over adjacent
Cotangent (cot) is 1/tan∅ or adjacent over opposite
50
2.02 m
1.22 m
border
A special shape is 2.02 m long and 1.22m wide
A double row of tiles makes a border.
Each tile is 2 cm by 2 cm.
How many tiles are needed to make the border?
A 648
B 624
C 632
D 640
E 636
Answer:
A. 648
Step-by-step explanation:
The special shape has a length of 2.02 m (202 cm) and width of 1.22 m (122 cm).
Given a tile of 2 cm × 2 cm, and that a double row of tiles make a border.
For a single row border,
the number of tiles required for its length = 202 /2 = 101
the number of tiles required for its width = 122/2 = 61
For a single row border, the total number of tiles for the perimeter of the special shape = 2 (101 + 61)
= 324
The number of tiles for a single row border is 324.
The number of tiles required to make the double row of tiles border = 2 (324)
= 648
The number of tiles required to make the border is at least 648.
There are many trios of integers (x,y,z) that satisfy x²+y²=z². These are known as the Pythagorean Triples, like (3,4,5) and (5,12,13). Now, do any trios (x,y,z) satisfy x³+y³=z³? Yes or No
Answer:
I don't think so
Step-by-step explanation:
There are some numbers called the Taxi cabs they satisfy this relation : x³+y³=z³+a³ like the famous Ramanujin number 17291729 = 1³+12³=9³+10³ there are four numbers (1,12,9,10) i don't think so that there are 3 numbersThe number 20 is multiplied either by 4 or by 5, then the product is increased either by 3 or by 5, and then the sum is divided either by 6 or by 7. What is the final quotient, if it is a natural number?
Answer:
15
Step-by-step explanation:
If it was 20 × 4 = 80, 80 + 3 = 83 and 80 + 5 = 85 but neither of those numbers are divisible by either 6 or 7 so we know it's not 20 × 4. If we did 20 × 5 = 100, 100 + 3 = 103 and 100 + 5 = 105. Since 105 / 7 = 15 the answer is 15.
Answer:
15
Step-by-step explanation:
We try every possibility.
20 is multiplied either by 4 or by 5
20 * 4 = 80
20 * 5 = 100
then the product is increased either by 3 or by 5
80 + 3 = 83
80 + 5 = 85
100 + 3 = 103
100 + 5 = 105
the sum is divided either by 6 or by 7
None of the numbers are divisible by 6 since they are all odd.
Only 105 is divisible by 7.
105/7 = 15
Answer: 15
What is the equation of the given line in the point slope -form ?
Answer:
see below
Step-by-step explanation:
We are given two points (3,4) and (0,1)
so we can find the slope
m = ( y2-y1)/(x2-x1)
= (1-4)/(0-3)
= -3/-3
= 1
The point slope form is
( y-y1) = m(x-x1)
y - (4) = 1 (x-3)
y - (4) = (x-3)
or using the other point
y - 1 = 1( x-0)
y - 1 = x
of the digital video recorders (DVRs) in an inventory are known to be defective. What is the probability you randomly select a DVR that is not defective? The probability is nothing.
Full question:
Eighteen of 50 digital video recorders (DVRs) in an inventory are known to be defective. What is the probability you randomly select an item that is not defective?
Answer:
16/25
Step-by-step explanation:
Probability is the likelihood of an event happening and it is calculated as the number of favourable outcomes divided by the total number of possible outcomes. From the above we can calculate probability of finding a DVR that is not defective by adding up number of DVRS that are not defective in the DVRS(favourable outcomes) and dividing it by the total number of DVRS(total number of possible outcomes).
Non defective dvrs=total number of dvrs-defective dvrs=50-18=32
So probability here=non defective dvrs/total number of dvrs
=32/50=16/25
is life really worth it
Answer:
life is a precious gift of GOD like see these days conditions too much people are dying life is our test it is worth whoever we wonder we are not birds,stones,mountains,trees they are also surviving and we are too we have not to survive we have to live our life there must be a difference between humans and animals i know life is brutal,tough and hard than why is it tough brutal and hard because it is a test a common life also passes and a man who serves hummanity his life also passes but a man serving hummanity is always remembered
"your life is your message to the world make it inspiring"
life is worth and too much previous
to die is easier than to life we have to live because we love challanges
Step-by-step explanation:
i hope this will help you :)
Answer:
Step-by-step explanation:
yeah
Convert 3 over 7 into a percent.
Step-by-step explanation: To write a fraction as a percent, first remember that a percent is a ratio of a number to 100.
So to write 3/7 as a percent, we need to find a fraction
equivalent to 3/7 that has a 100 in the denominator.
We can do this by setting up a proportion.
So we have [tex]\frac{3}{7} = \frac{n}{100}[/tex].
Now, we can use cross-products to find the missing value.
So we have (3)(100) which is 300 is equal to (7)(n) or 7n.
So we have the equation 300 = 7n.
Next, dividing both sides of the equation by 7, we have 42.8571 = n.
So 3/7 is equal to 42.8571/100 or 42.8571%.
The average college major requires 34 credit hours to complete, with a standard deviation of 3 hours. A college's academic advisors conduct a study to see how many credit hours a sample size of 50 students will need to take to complete their majors. They calculate:μx= μ = 34and σx= μ /√n =34/√50=4.81What did they do wrong?
The question is incomplete! Complete question along with answer and step by step explanation is provided below.
Question:
The average college major requires 34 credit hours to complete, with a standard deviation of 3 hours. A college's academic advisors conduct a study to see how many credit hours a sample size of 50 students will need to take to complete their majors.
They calculate:
μx = μ = 34
σx = μ/√n = 34/√50 = 4.81
What did they do wrong?
Answer:
The sample mean will be the same as the population mean
μx = μ = 34
Whereas the standard deviation of the sample would be
σx = σ/√n
σx = 3/√50
σx = 0.424
Therefore, the college's academic advisors wrongly calculated the standard deviation of the sampling distribution.
Step-by-step explanation:
From the given information we know that,
The population mean is
μ = 34 credit hours
The population standard deviation is
σ = 34 credit hours
The college's academic advisors take a sample size of 50 students so
sample size = n = 50
Since the sample size is quite large then according to the central limit theorem,
The sample mean will be the same as the population mean
μx = μ = 34
Whereas the standard deviation of the sample would be
σx = σ/√n
σx = 3/√50
σx = 0.424
Therefore, the college's academic advisors wrongly calculated the standard deviation of the sampling distribution.
Alexandra has 36 coins valued at $6.00 she has only nickels and quarters which equation can be used to solve for the number of nickels n
Answer
I will give you some hints and yea
Step-by-step explanation:
first try to figure out how much the quarters are you can first guess for example there were 8 quarters and ?nickels and work your way up and then you will get closer and closer to your answer
Answer:
0.05n + 0.25(36 – n) = 6
Step-by-step explanation:
18 points please help pic inserted
Answer:
1). [tex]\text{log}_4(5x^2+2)=\text{log}_4(x + 8)[/tex]
2). log(x - 1) + log5x = 2
3). ln(x + 5) = ln(x - 1) + ln(x + 1)
4). [tex]e^{x^2}=e^{4x+5}[/tex]
Step-by-step explanation:
1). ln(x + 5) = ln(x - 1) + ln(x + 1)
ln(x + 5) = ln(x - 1)(x + 1) [Since ln(a×b) = ln a + lnb]
(x + 5) = (x- 1)(x + 1)
x + 5 = x² - 1
x² - x - 6 = 0
x² - 3x + 2x - 6 = 0
x(x - 3) + 2(x - 3) = 0
(x + 2)(x - 3 ) = 0
x = -2, 3
But x = -2 is an extraneous solution.
Therefore, x = 3 is the only solution.
2). [tex]e^{x^2}=e^{4x+5}[/tex]
x² = 4x +5
x² - 4x - 5 = 0
x² - 5x + x - 5 = 0
x(x - 5) + 1(x - 5) = 0
(x + 1)(x - 5) = 0
x = -1, 5
Therefore, solution set is (-1, 5)
3). [tex]\text{log}_4(5x^2+2)=\text{log}_4(x + 8)[/tex]
5x² + 2 = (x + 8)
5x² - x - 6 = 0
5x² - 6x + 5x - 6 = 0
x(5x - 6) + 1(5x - 6) = 0
(x + 1)(5x - 6) = 0
x = -1, [tex]\frac{6}{5}[/tex]
4). log(x - 1) + log5x = 2
log(x - 1)(5x) = 2
5x(x - 1) = 10² [if loga = b, [tex]a=10^{b}[/tex]]
5x² - 5x - 100 = 0
x² - x - 20 = 0
x² - 5x + 4x - 20 = 0
x(x - 5) + 4(x - 5) =0
(x - 5)(x + 4) = 0
x = -4, 5
But x = -4 is an extraneous solution.
Therefore, x = 5 is the only solution.
Jane and Bill are cleaning up a park. If she had to clean up the park herself, it would take Jane six hours to complete the job. If Bill alone were to clean the park, it would take him three hours. Working together, how long will it take Jane and Bill to clean the park?
Answer:
4.5 hours
Step-by-step explanation:
If you take both of their alone time
6 and 3
Add them together
Divide both of them By 2
Giving you your answer
It takes Jane six hours to complete the job and it takes Bill three hours; if both of them did the job together, it would take them 2 hours.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Let t represent the time that would take both Jane and Bill to clean the park, hence:
[(1/6) + (1/3)]t = 1
t = 2 hours
It takes Jane six hours to complete the job and it takes Bill three hours; if both of them did the job together, it would take them 2 hours.
Find out more on equation at: https://brainly.com/question/2972832
PLEASE HELP AND SHOW WORK
Answer:
12
Step-by-step explanation:
If we extend this triangle we see that it makes a right triangle with legs of 6 and 6. The area of that triangle is 1/2 * 6 * 6 = 18. The part that is not shaded is a right triangle with legs 6 and 2, it's area is 6 * 2 / 2 = 6. The shaded area is 18 - 6 = 12.
What is the answer and plz explain
Answer:
36 squared units
Step-by-step explanation:
So you can draw "made up lines" or I guess lines you draw yourself to create 2 rectangles. Check attachment.
The first rectangle is a square and has sides 3 and 3, so you get the area of 9.
The second, has sides 9 and 3, so you get the area of 27
Since you are trying to find the entire thing, you add 27 and 9 to get 36
PLZ HELP !!!!! The graph represents the transformation called a ____. Rotation Translation Reflection
The graph represents a rotation transformation
write the number name for 6782163 in international system
Answer:
Six Million Seven Hundred Eighty Two Thousand one hundred sixty three
Step-by-step explanation:
Hope it helps...Pls Mark as Brainliest!!
Answer:
Six Million Seven Hundred Eighty Two Thousand One Hundred and Sixty Three.
Step-by-step explanation:
6, 782, 163
Please answer this correctly
Answer:
50%
Step-by-step explanation:
There are 3 numbers fitting the rule, 1, 2, and 6. There is a 3/6 chance rolling one of them or 50%.
Answer:
50%
Step-by-step explanation:
1 value> 5 and 2 values<3, out of total of 6
P (greater than 5 or less than 3) = 3/6= 50%
Without solving for the undetermined coefficients, the correct form of a particular solution of the differential equation y'' + 9y = sin(3x) is:_______
a. yp = Acos(3x) + Bsin(3x)
b. yp = Axcos(3x) + (3x)
c. yp = Asin(3x)
d. yp = Acos(3x)
e. yp = Axcos(3x) + Bxsin(3x)
Answer:
E
Step-by-step explanation:
y’’ + 9y = sin(3x)
The characteristics equation is;
m^2 + 9 = 0
solving this we have 2 complex roots
m= -3i, 3i
Thus;
yh = Ccos(3x)+ Dsin(3x)
let yp = Axcos(3x) + Bxsin(3x)
Now, because we have sin(3x) and cos(3x) with constant coefficient in yh, option E is our answer
simplify 2(4+8)÷2(8+8)
192.
2(8+4)÷2(8+8) = 1(4+8)×(8+8)
1×12×16=192.
Answer:
192Step-by-step explanation:
[tex]2(4 + 8) \div 2(8 + 8)[/tex]
Any expression divided by itself equals 1
[tex]1(4 +8) \times (8 + 8)[/tex]
Add numbers
[tex]1 \times 12 \times 16[/tex]
Any expression multiplied by 1 remains the same
[tex]12 \times 16[/tex]
Multiply the numbers
[tex]192[/tex]
Hope this helps...
Good luck on your assignment..