=====================================================
Explanation:
In this case, a triangle is possible since adding any two sides leads to a sum larger than the third side
20+23 = 43 is larger than 4120+41 = 61 is larger than 2323+41 = 64 is larger than 20I'm using the triangle inequality theorem here.
----------------------------
To determine what kind of triangle we have, we'll use the converse of the Pythagorean theorem. Specifically, we'll use a corollary of it.
Consider a triangle with sides a,b,c. Let c be the longest side.
We have three possible cases:
If a^2+b^2 = c^2, then we have a right triangleIf a^2+b^2 > c^2, then the triangle is acute.If a^2+b^2 < c^2, then the triangle is obtuse.For this problem, we have a = 20, b = 23, c = 41.
We see that a^2+b^2 = 20^2+23^2 = 929 and c^2 = 41^2 = 1681.
In short, a^2+b^2 = 929 and c^2 = 1681.
Since 929 < 1681, this means a^2+b^2 < c^2.
Therefore, this triangle is obtuse.
find the differential coefficient of y=5×
[tex]\huge\mathbb\purple{AnSwEr}[/tex]
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Hey mate 5 is your Answer
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In Santana's last basketball game he made a total of 22 baskets. Santana
scored a combination of 2-point baskets and 3-point baskets for a total
of 54 points. How many 2-point baskets did Santana score?
Answer:
Santana scored 12 2-point baskets.
Step-by-step explanation:
Given that Santana converted 22 baskets in his last basketball game, totaling 54 points at the end of the game, and that in basketball the baskets are worth 2 and 3 points, to determine the number of baskets of each value that Santana converted, the following logic reasoning must be done:
If all the baskets were 2 points, the total of points made would have been 44 (22 x 2). Now, there are 10 more points, which are attributable to the 3-point baskets (that is, each extra point is a 3-point basket). Therefore, since 54 minus 44 equals 10, Santana made 10 3-point baskets and 12 2-point baskets.
This is verified through the following calculation:
(10 x 3) + (12 x 2) = X
30 + 24 = X
54 = X
The USDA conducted tests for salmonella in produce grown in California. In an independent sample of 252 cultures obtained from water used to irrigate the region, 18 tested positive for salmonella. In an independent sample of 476 cultures obtained from the region’s wildlife (e.g., birds), 20 tested positive for salmonella. Is this sufficient evidence for the USDA to conclude that the proportion of salmonella in the region’s water differs from the proportion of salmonella in the region’s wildlife? Assume the significance level of 0.01.
Answer:
The decision rule is
Fail to reject the null hypothesis
The conclusion is
There no sufficient evidence to show that the proportion of salmonella in the region’s water differs from the proportion of salmonella in the region’s wildlife
Step-by-step explanation:
From the question we are told that
The first sample size is [tex]n_1 = 252[/tex]
The number that tested positive is [tex]k_1 = 18[/tex]
The second sample size is [tex]n_2 = 476[/tex]
The number that tested positive is [tex]k_2 = 20[/tex]
The level of significance is [tex]\alpha = 0.01[/tex]
Generally the first sample proportion is mathematically represented as
[tex]\^ p _1 = \frac{k_1 }{ n_1 }[/tex]
=> [tex]\^ p _1 = \frac{18 }{ 252 }[/tex]
=> [tex]\^ p _1 = 0.071[/tex]
Generally the second sample proportion is mathematically represented as
[tex]\^ p _2 = \frac{k_2 }{ n_2 }[/tex]
=> [tex]\^ p _2 = \frac{20 }{ 476}[/tex]
=> [tex]\^ p _2 = 0.042[/tex]
The null hypothesis is [tex]H_o : p_1 - p_2 = 0[/tex]
The alternative hypothesis is [tex]H_a : p_1 - p_2 \ne 0[/tex]
Generally the test statistics is mathematically represented
[tex]z = \frac{ \^ p_1 - \^ p_2 - ( p_ 1 - p_2 )}{ \sqrt{\frac{\^ p_1 (1-\^ p_1)}{ n_1 } + \frac{\^ p_2 (1-\^ p_2)}{ n_2 } } }[/tex]
=> [tex]z = \frac{ 0.071 - 0.042 - 0 }{ \sqrt{\frac{0.071 (1-0.071)}{ 252 } + \frac{0.042 (1-\^ 0.042)}{ 476 } } }[/tex]
=> [tex]z = 1.56[/tex]
From the z table the area under the normal curve to the right corresponding to 1.56 is
[tex]P(Z > 1.56 ) =0.05938[/tex]
Generally the p-value is mathematically represented as
[tex]p-value = 2 * P(Z > 1.56 )[/tex]
=> [tex]p-value = 2 * 0.05938[/tex]
=> [tex]p-value = 0.1188[/tex]
From the value obtained we see that [tex]p-value > \alpha[/tex] hence
The decision rule is
Fail to reject the null hypothesis
The conclusion is
There no sufficient evidence to show that the proportion of salmonella in the region’s water differs from the proportion of salmonella in the region’s wildlife
2. The sum of two numbers is 67 and their difference is 3. Find the two numbers.
Answer:
35 and 32
Step-by-step explanation:
35 and 32
because when we add 35 and 32 then their sum is 67
when we subtract 35 and 32 then their difference is 3
I hope u understand it
0.5= x djdododododododdodod
Answer:
25
Step-by-step explanation:
cuz
A skirt was originally priced $32. It is on sale for $24. What percent is the discount
Answer:
25% off
Step-by-step explanation:
$32 is 100%. 8 dollars was taken away, and since 8 is 1/4 of 32, we can divide 100% by 4 to get 25%. 25% is $8
Answer:
25%
Step-by-step explanation:
24/32=0.75
100-0.75= 0.25
So 25% off.
Hope that helped! (ﾉ◕ヮ◕)ﾉ*:･ﾟ✧
( ﾟдﾟ)つ Bye
by what percent should jack increase the number x to get 9/4*x
Answer:
125%
Step-by-step explanation:
x --> 9/4 x.
x and x cancels out so we have to find out what percent 9/4 is. 9/4= 2 1/4 = 225%.
since we first started from 100%, 225%-100%=125% Hope this helped :)
Answer:
125% percent
Step-by-step explanation:
x --> 9/4 x.
x and x cancels out so we have to find out what percent 9/4 is. 9/4= 2 1/4 = 225%.
since we first started from 100%, 225%-100%=125% Hope this helped :)
What is the answer to this radical functions equation ASAP
(x - 3)(x + 4) = x^2+4
Answer:
x=16
Step-by-step explanation:
HELP it would be greatly appreciated!
Answer:
The answer would be (D 70 degrees
Step-by-step explanation:
Each triangle is 180 degrees. 180 - 40 equals 140. 140 divided by two equals 70.
Hope this helps ^^✨
Answer:
D: 70°
Step-by-step explanation:
Angles A and B are going to be the same, and the interior angles of a triangle must equal 180°, so D is the correct answer
70 + 70 + 40 = 180
Yesterday, a movie theater sold 305 bags of popcorn. A large bag of popcom costs SA. A small bag of popcorn costs $1. In all, the movie theater made 5632 from popcom sales. Wite and solve a system of equation to find low
many bags of each size of popcom were sold.
The movie theater sold large bags of popcom and small bags of popcom.
Answer:
how much was popcorn u have sA
Which of the following expressions is equivalent to the expression 42+90?
A. 6(7+14)
B.6(7+15)
C.7(6+12)
D.6(36+84)
Answer:
B
Step-by-step explanation:
6(7+15)
= 6(7) + 6(15)
= 42 + 90
:D it helps!
Colin loves to eat tuna salad for lunch. His mom is always looking for a bargain on 12-ounce cans of tuna. Today, his local grocery store is offering 4 cans of Sea Star tuna for $3.28 and 2 cans of Ocean's Best tuna for $1.88. Which brand is the better deal?
Answer:
Local Grocer store's offer is the better deal
Step-by-step explanation:
In order to calculate which is the better bargain, we need to find out how much each deal is charging for the individual can of tuna. We calculate this by dividing the total of the offer by the number of cans of tuna it includes like so...
Local: $3.28 / 4 = $0.82 per can
Ocean's Best: $1.88 / 2 = $0.94 per can
Therefore, we can see that the Local Grocer store's offer is the better deal since it is selling you each can at 0.82 cents compared to the 0.94 cents that Ocean's Best is charging per can.
Answer:
It's seastar
Step-by-step explanation: tbh I put in seastar as an answer on ixl and got it correct but if you want to know what you have to all you need to do is divide price by amount and the one with less is the better option for example if you have a 4 pack for $4.56 you would do $4.56/4 price always goes first remember that! :D
The scale of a map says that 6 cm represents 15 km.
What is the number of kilometers that is represented by 15 cm on the map?
The lines below are parallel if the slope of the solid line is 4,what is the slope of the gas line?
Answer:
We conclude that the parallel lines are equal and the slope of the gas line is:
m₂ = 4Step-by-step explanation:
We know that the lines are parallel if the slope of both lines is equal.
In other words,
If m₁ = m₂, then the lines will be parallel.Now,
Given that the slope of the solid line = m₁ = 4
As the parallel lines have equal slopes.Thus,
The slope of gas line = m₂ = 4
as
m₁ = m₂
Therefore, we conclude that the parallel lines are equal and the slope of the gas line is:
m₂ = 4a student finished 8 of her homework problems in class if the ratio problem she finished her problem she has left with 4:1 how many homework problems did she have total
Step-by-step explanation:
b HD hks Gojng umd book is Rio hz Wii
Is this inequality true? I -4 I > -4 ?
Answer:
no its false its equal
Step-by-step explanation:
-4 isnt greater or > than -4 it's the exact same
Enter the number that belongs in the green box cd=
Answer:
9
Step-by-step explanation:
I think 9 since there’s a right angle, so there’s an assumed right angle on the other side of the line. 9 is the hypotenuse when AB is 3 so I think CD would also be 9 since BC is 3 as well.
Plezzzzzwzzzzzzzz help
Answer:
[tex] 3 - a [/tex]
Step-by-step explanation:
Given that when you add two numbers together the result is 3.
The greater of the number is given as a.
Let "x" represent that lesser number.
Thus:
[tex] a + x = 3 [/tex]
To make x the subject of the formula. Subtract a from both x.
[tex] a + x - a = 3 - a [/tex]
[tex] x = 3 - a [/tex]
Therefore, the expression that represents the lesser number, x, is:
[tex] 3 - a [/tex]
Which statement best represents the equation below?
10+(-10)=0
1. A dog runs 10 feet to the left and then runs another 10 feet to the left .
2. A car goes 10 feet and then reversed 10 feet .
3. A bottle contained 10 litters of juice after 10 liters spilled on the floor .
4. A girl earns $10 in 10 hours .
Answers ASAP!!!!!
Answer:
the answer is 2 because the car goes forward 10 feet then it goes back to the same amount which puts it at its start
The sum of 2 numbers is 892. One of the numbers is 363. What is the other number
Answer:
529
Step-by-step explanation:
892-363=529
529+363=892
Final Answer: [tex]529[/tex]
Steps/Reasons/Explanation:
We will write down the equation [tex]892 = x + 363[/tex] because we would need to get [tex]x[/tex] by itself. Doing this will make us able to find the other number.
Question: The sum of 2 numbers is 892. One of the numbers is 363. What is the other number?
Step 1: Subtract [tex]363[/tex] from both sides.
[tex]892 - 363 = x[/tex]
Step 2: Simplify [tex]892 - 363[/tex] to [tex]529[/tex].
[tex]529 = x[/tex]
Step 3: Switch sides.
[tex]x = 529[/tex]
~I hope I helped you :)~
Find the missing side
Answer:
I believe the answer is 48
Step-by-step explanation:
Subtract 30 from 78 to get your answer.
Suppose in the population, the Anger-Out score for men is two points higher than it is for women. The population variances for men and women are both 20. Assume the Anger-Out scores for both genders are normally distributed. Given this information about the population parameters:
(a) What is the mean of the sampling distribution of the difference between means?
(b) What is the standard error of the difference between means?
(c) What is the probability that you would have gotten this mean difference or less in your sample?
Answer:
a)= 2
b) 6.324
c) P= 0.1217
Step-by-step explanation:
a) The mean of the sampling distribution of X`1- X`2 denoted by ux`-x` = u1-u2 is equal to the difference between population means i.e = 2 ( given in the question)
b) The standard deviation of the sampling distribution of X`1- X`2 ( standard error of X`1- X`2) denoted by σ_X`1- X`2 is given by
σ_X`1- X`2 = √σ²/n1 +σ²/n2
Var ( X`1- X`2) = Var X`1 + Var X`2 = σ²/n1 +σ²/n2
so
σ_X`1- X`2 =√20 +20 = 6.324
if the populations are normal the sampling distribution X`1- X`2 , regardless of sample sizes , will be normal with mean u1-u2 and variance σ²/n1 +σ²/n2.
Where as Z is normally distributed with mean zero and unit variance.
If we take X`1- X`2= 0 and u1-u2= 2 and standard deviation of the sampling distribution = 6.324 then
Z= 0-2/ 6.342= -0.31625
P(-0.31625<z<0)= 0.1217
The probability would be 0.1217
when nicky tried to solve an equation using properties of equality, she ended up with the equation -3=-3. what equation mioght she have tried to solve? what is the solution of the equation?
Answer: -3 + 4*x^2 = - 3 + (2*x)^2
Any value of x is a solution for this eqution.
Step-by-step explanation:
She ended with -3 = -3
This is trivial, if we had an equation with one variable, something like:
f(x) = equation.
Ending with something like -3 = -3 means that we do not have any restriction with respect to x, so x could take any value.
This will happen if the terms with x in the left side are exactly the same as the terms in the right side, for exampe:
-3 + 4*x^2 = -3 + 4*x^2
In that case, we can substrrat 4*x^2 in both sides, and we will end with:
-3 = -3
This means that the solution for this equation is any value of x.
We also could rewrite this as:
-3 + 4*x^2 = - 3 + (2*x)^2
So the terms look different, but the terms are exactly the same for any value of x.
Consider the following statements:
I. Multicollinearity is present when there is a high degree of linear correlation between the predictors.
II. A regression analysis between weight (y in pounds) and height (x in inches) resulted in the following least squares line: y-hat = 135 + 6x + errors. This implies that if the height is zero, the weight is 135 pounds in this linear model.
a. I is true and II is false.
b. I is false and II is true.
c. Both I and II are true.
d. Both I and II are false.
e. More information is needed for each statement in order to tell which is true or false.
Answer:
d. Both I and II are false
Step-by-step explanation:
When there is a high degree of linear correlation between the predictors the errors are found.
The basic objective of the regression model is to separate the dependent and independent variables. So if the variables have high degree of linear correlation then the multi collinearity causes problems or has errors. It is not necessary that multi collinearity must be present with high degree of linear correlation.
For example we have 3 variable of heat length and time. And all of them have a high degree of correlation. With increase in heat and time the length increases . But for multi collinearity with the increase of time and decrease of heat length does not increase. So this causes errors.
y-hat = 135 + 6x + errors
The linear relationship between height and weight is inexact. The deterministic relation in such cases is then modified to allow the inexact relationship between variables and a non deterministic or probabilistic model is obtained which has error which are unknown random errors.
y- hat= a + bXi + ei (i=1,2,3...)
ei are the unknown random errors.
So both statements are false.
Twelve of the 28 students in a class have a dog. What is the ratio of students who have a dog to students who do not?
Answer:
28/12
Step-by-step explanation:
Bea is asked to graph this system of equations:
8x - 6y=3
-3y + 4x + 4
How many times will the lines intersect?
Answer:
The lines will not intersect, because this system has no solutions
Step-by-step explanation:
Answer:
They will not intersect!
Step-by-step explanation:
A-P-E-X
In a baseball game, Elena scored twice many pints as Tyler.Tyler scored four points fewer than Noah, and Noah scored three times as many points as Mai. If Mai scores 5 points, how many did Elena scored?
Answer:
Elena scored 22 points.
Step-by-step explanation:
Mai scored 5 points, and Noah scored three times as many. This means Noah scored 15 points and if Tyler scored four points fewer, he scored 11 points. If Elena scored twice as many as Tyler, she scored 22.
The owner of a health club decides to reduce the $35 membership fee by five dollars what is the approximate percent decrease in the fee
Answer:
14%
Step-by-step explanation:
5/35 = About 0.14
it's c
have a nice day mark me brainlist!
Two linear functions are combined with addition, and then the same two linear functions are combined by
multiplication.
Which functions could be the result of the combinations? Select two options.
16x - 12
17x - 12
72x2 - 96x
72x2 – 108x
72x2 - 204x + 144