Answer:
There are 8 possible combinations.
Look at this example:
2 sandwiches: PB&J, turkey sandwich
4 drinks: soda, water, lemonade, tea
1 dessert: cake
all 8 combos:
PB&J, soda, cakePB&J, water, cakePB&J, lemonade, cakePB&J, tea, caketurkey sandwich, soda, caketurkey sandwich, water, caketurkey sandwich, lemonade, caketurkey sandwich, tea, cakehope this helps
Factor the trinomial completely.
4u^4 + 4u^3 - 6u^2
Answer:
See below.
Step-by-step explanation:
So we have the expression:
[tex]4u^4+4u^3-6u^2[/tex]
First, factor out the GCF.
The GCF is 2u². Thus:
[tex]=2u^2(2u^2+2u-3)[/tex]
And this is the simplest it can get.
So we are done :)
Which product will be negative?
7 x (-9)
-3x(-5)
-2x (-1)
6x6
Answer:
7*(-9)
Step-by-step explanation:
A negative multiplied by a negative causes them to cancel out and become positive and two positives being multiplied are always positive
HOPE THIS HELPS!!!!! :)
<3333333333
Answer:
7 x (-9)
Step-by-step explanation:
7 x (-9) = -63
-3 x (-5) = 15
-2 x (-1) = 2
6 x 6 = 36
Can you multiply it all out? Yes. Did you need to? No. That was just to prove that the first choice is correct.
All you have to know to answer this is that:
positive * positive = positive; + * + = +
negative * negative = negative; - * - = +
positive * negative (or negative * positive; remember that the order of the numbers you're multiplying does not matter) = negative; + * - = - or - * + = -
Or if you learn better in words:
If two factors have the same sign, the answer is positive.
If two factors have different signs, like if one is positive and the other is negative, then the answer is negative.
Please mark as Brainliest! :)
1. Write 206 in base 7 2. The number 3, 956, 427, 8ab is divisible by 72. Calculate a and b.
Answer:
k
Step-by-step explanation:
Find the indefinite integral and check the result by differentiation. (Use C for the constant of integration.)
∫ (x + 8x) dx
Step-by-step explanation:
Given
[tex]\int\limits {(x+8x)} \, dx[/tex]
to integrate we use
[tex]\frac{dy}{dx} =\int\limits {ax^n} \, dx \\[/tex]
we have
[tex]y= \frac{ax^n^+^1}{n+1}[/tex]
[tex]y= \frac{x^1^+^1}{1+1}+ \frac{8x^1^+^1}{1+1}+c\\\\y= \frac{x^2}{2}+ \frac{8x^2}{2}+c\\\\y= \frac{x^2}{2}+ 4x^2+c\\\\y= \frac{x^2+8x^2}{2}+c\\\\y= \frac{9x^2}{2}+c[/tex]
in order to verify using differentiation we use
[tex]y= ax^n\\\\ \frac{dy}{dx} = nax^n^-1[/tex]
[tex]y= \frac{9x^2}{2}+c\\\\ \frac{dy}{dx} =2* \frac{9x^2^-^1}{2}\\\\ \frac{dy}{dx} =2* \frac{9x}{2}\\\\ \frac{dy}{dx} =9x\\\\9x= x+8x\\\\ \frac{dy}{dx}= x+8x[/tex]
how do you determine when a counting problem involves a permutation or a combination?
The function h(x) = 12x + 49 is an even function. Which transformation of h(x) would result in a function that is neither
even nor odd?
Answer:
A reflection over x - axis
Step-by-step explanation:
If f(-x) = f (x), (ie all the signs are the same), then the function is even
also, if f(-x) = -f (x), (ie all the signs are switched), then the function is odd.
Given;
h(x) = 12x + 49
Then test for h(-x);
h(-x) = 12(-x) + 49
h(-x) = -12x + 49,
Thus h(-x) ≠ h(x) and also h(-x) ≠ -h(x)
The function is neither odd nor even.
Therefore, a reflection over x - axis would result in a function that is neither even nor odd.
The following data represent the pH of rain for a random sample of 12 rain dates. A normal probability plot suggests the data could come from a population that is normally distributed.
5.20, 5.02, 4.87, 5.72, 4.57, 4.76, 4.99, 4.74, 4.56, 4.80, 5.19, 4.68
1) Determine a point estimate for the population mean.
2) Construct and Interpret a 95% confidence interval for the mean pH of rainwater.
a) if repeated samoles are taken, 95% of them will have a sample pH of rain water between [ ] & [ ].
b) there is a 95% chance that the true mean pH of rain water is between [ ] & [ ].
c) there is 95% confidence that the population mean pH of rain water is between [ ] & [ ].
3) Construct and interpret a 99% confidence interval for the mean pH of rainwater.
a) there is 99% confidence that the population mean pH of rain water is between [ ] & [ ].
b) there is a 99% chance that the true mean pH of rain water is between [ ] & [ ].
c) if repeated samoles are taken, 99% of them will have a sample pH of rain water between [ ] & [ ].
4) What happens to the interval as the level of confidence is changed? Explain why is a logical result.
As the level of confidence increases l, the width of the interval_____this makes sense since the_____,______.
Answer:
(1) The point estimate for the population mean is 4.925.
(2) Therefore, a 95% confidence interval for the population mean pH of rainwater is [4.715, 5.135] .
(3) Therefore, a 99% confidence interval for the population mean pH of rainwater is [4.629, 5.221] .
(4) As the level of confidence increases, the width of the interval increases.
Step-by-step explanation:
We are given that the following data represent the pH of rain for a random sample of 12 rain dates.
X = 5.20, 5.02, 4.87, 5.72, 4.57, 4.76, 4.99, 4.74, 4.56, 4.80, 5.19, 4.68.
(1) The point estimate for the population mean is given by;
Point estimate, [tex]\bar X[/tex] = [tex]\frac{\sum X}{n}[/tex]
= [tex]\frac{5.20+5.02+ 4.87+5.72+ 4.57+ 4.76+4.99+ 4.74+ 4.56+ 4.80+5.19+ 4.68}{12}[/tex]
= [tex]\frac{59.1}{12}[/tex] = 4.925
(2) Let [tex]\mu[/tex] = mean pH of rainwater
Firstly, the pivotal quantity for finding the confidence interval for the population mean is given by;
P.Q. = [tex]\frac{\bar X-\mu}{\frac{s}{\sqrt{n} } }[/tex] ~ [tex]t_n_-_1[/tex]
where, [tex]\bar X[/tex] = sample mean = 4.925
s = sample standard deviation = 0.33
n = sample of rain dates = 12
[tex]\mu[/tex] = population mean pH of rainwater
Here for constructing a 95% confidence interval we have used a One-sample t-test statistics as we don't know about population standard deviation.
So, 95% confidence interval for the population mean, [tex]\mu[/tex] is ;
P(-2.201 < [tex]t_1_1[/tex] < 2.201) = 0.95 {As the critical value of t at 11 degrees of
freedom are -2.201 & 2.201 with P = 2.5%}
P(-2.201 < [tex]\frac{\bar X-\mu}{\frac{s}{\sqrt{n} } }[/tex] < 2.201) = 0.95
P( [tex]-2.201 \times {\frac{s}{\sqrt{n} } }[/tex] < [tex]{\bar X-\mu}[/tex] < [tex]2.201 \times {\frac{s}{\sqrt{n} } }[/tex] ) = 0.95
P( [tex]\bar X-2.201 \times {\frac{s}{\sqrt{n} } }[/tex] < [tex]\mu[/tex] < [tex]\bar X+2.201 \times {\frac{s}{\sqrt{n} } }[/tex] ) = 0.95
95% confidence interval for [tex]\mu[/tex] = [ [tex]\bar X-2.201 \times {\frac{s}{\sqrt{n} } }[/tex] , [tex]\bar X+2.201 \times {\frac{s}{\sqrt{n} } }[/tex] ]
= [ [tex]4.925-2.201 \times {\frac{0.33}{\sqrt{12} } }[/tex] , [tex]4.925+2.201 \times {\frac{0.33}{\sqrt{12} } }[/tex] ]
= [4.715, 5.135]
Therefore, a 95% confidence interval for the population mean pH of rainwater is [4.715, 5.135] .
The interpretation of the above confidence interval is that we are 95% confident that the population mean pH of rainwater is between 4.715 & 5.135.
(3) Now, 99% confidence interval for the population mean, [tex]\mu[/tex] is ;
P(-3.106 < [tex]t_1_1[/tex] < 3.106) = 0.99 {As the critical value of t at 11 degrees of
freedom are -3.106 & 3.106 with P = 0.5%}
P(-3.106 < [tex]\frac{\bar X-\mu}{\frac{s}{\sqrt{n} } }[/tex] < 3.106) = 0.99
P( [tex]-3.106 \times {\frac{s}{\sqrt{n} } }[/tex] < [tex]{\bar X-\mu}[/tex] < [tex]3.106 \times {\frac{s}{\sqrt{n} } }[/tex] ) = 0.99
P( [tex]\bar X-3.106 \times {\frac{s}{\sqrt{n} } }[/tex] < [tex]\mu[/tex] < [tex]\bar X+3.106 \times {\frac{s}{\sqrt{n} } }[/tex] ) = 0.99
99% confidence interval for [tex]\mu[/tex] = [ [tex]\bar X-3.106 \times {\frac{s}{\sqrt{n} } }[/tex] , [tex]\bar X+3.106 \times {\frac{s}{\sqrt{n} } }[/tex] ]
= [ [tex]4.925-3.106 \times {\frac{0.33}{\sqrt{12} } }[/tex] , [tex]4.925+3.106 \times {\frac{0.33}{\sqrt{12} } }[/tex] ]
= [4.629, 5.221]
Therefore, a 99% confidence interval for the population mean pH of rainwater is [4.629, 5.221] .
The interpretation of the above confidence interval is that we are 99% confident that the population mean pH of rainwater is between 4.629 & 5.221.
(4) As the level of confidence increases, the width of the interval increases as we can see above that the 99% confidence interval is wider as compared to the 95% confidence interval.
What are the values of x & y?
Answer:
X= 60°
Y= 30°
Step-by-step explanation:
In triangle ABD, we have:
AB = BD = AD
Then triangle ABD is equilateral triangle.
Then, all its angles are equal to 60°.
=> X = 60°
____________________________________
ADC is right triangle at D.
So, X and Y are congruent angles (their sum is equal to 90°)
So, X + Y =90°
60° + Y = 90°
Y = 90 - 60
Y= 30°
[tex]hope \: this \: helps[/tex]
Factor by grouping x3 - 3x2 + 4x -12 Group of answer choices
A( x - 3 ) (x2 + 4 )
B(x3 - 3x2) ( 4x -12)
C( x +4 ) (x2 - 3 )
D( x - 4 ) (x2 + 3 )
Answer:
(x² + 4)(x - 3)
or
A
Step-by-step explanation:
Step 1: Write out expression
x³ - 3x² + 4x - 12
Step 2: Factor by grouping
x³ - 3x²
x²(x - 3)
4x - 12
4(x - 3)
Step 3: Combine
(x² + 4)(x - 3)
A=1/2bh solve for b.
Answer:
2A /h = b
Step-by-step explanation:
A=1/2bh
Multiply each side by 2
2A = 2*1/2bh
2A = bh
Divide each side by h
2A/h = bh/h
2A /h = b
Step-by-step explanation: First, get rid of the fraction by
multiplying both sides of the equation by 2.
That gives us 2A = bh.
Don't be thrown off by the capital A in this problem.
Just treat it like any other variable.
To get b by itself on the right side of the equation, we now simply
divide both side of the equation by h and our answer is 2A/h = b.
Take a look back at the formula now in the original problem.
Does it look familiar?
It's the formula for the area of a triangle.
Take a look at the image I have provided below.
I have made the "b" purple so you
can see that we are solving for it.
Find two consecutive whole numbers that \sqrt(48)
lies between.
Answer:
6 and 7
Step-by-step explanation:
Step 1: Find 2 perfect square roots
√36 = 6
√49 = 7
√36 < √48 < √49
6 < √48 < 7
So, between 6 and 7
Payton leaves to go on an 85 minute bike ride at 3:27 p.m.Payton's family eats dinner at 5:45 p.m How much time will Payton have between finishing her bike ride and eating dinner?
He starts to ride at 3:27 p.m.
85 minutes -> hours = 1 h 25 minutes (85/60 = 1 with 25 of rest)
3:27 + 1 h 25 min = h. 4:52
between 4:52 and 5:45 =>
5 hours 45 min - 4 hours 52 minutes =
4h 105 min ( 1h = 60min ) - 4h 52 min =
0h 53min
Payton has 53 minutes
Answer:
53 minutes
Step-by-step explanation:
Payton leaves at 3:27 p.m. and rides for 85 minutes. When she has finished, the time will be 3:27 + 0:85, or
3:27 + 1:25, since 1 hr = 60 min
4:52 p.m.
Dinner will be at 5:45 p.m. That means Payton will have (5:45 - 4:52) hours until dinner: Borrowing 60 minutes from 5:45, we get
4:105 - 4:52 = 0:53. That's 53 minutes to while away before dinner.
Name the missing coordinate(s) of the triangle
Answer:
R(7a, 0 )
Step-by-step explanation:
R is on the vertical line RQ so will have the same x- coordinate as Q
R is on the horizontal line OR so will have the same y- coordinate as O
Thus coordinates of R = (7a, 0 )
Find the equation of a line through B(5,2) which is perpendicular to the line 3x+5=0. Hence find the coordinate of the foot of the perpendicular from B to the line.
Answer:
y=2, the equation of a line which is perpendicular to the line 3x+5=0
A(-5/3,2) the foot of the perpendicular from B to the line
Step-by-step explanation:
d1 : 3x+5=0, so 3x=-5, x=-5/3
y=2, the equation of a line which is perpendicular to the line 3x+5=0
A(-5/3,2) the foot of the perpendicular from B to the line
solve using Substitution y = 6x - 11 -2x - 3y = -7
Answer:
(2, 1)
Step-by-step explanation:
To solve by substitution, we solve one equation for one of its variables and then substitute the solved value for that variable into the other equation. Because this system of equations already has one solved for the variable, this makes our job much easier. We only need to implement the solved value for y into the other equation and solve for x.
y = 6x - 11
-2x - 3(6x - 11) = -7 Distribute.
-2x - 18x + 33 = -7 Combine like terms.
-20x + 33 = -7 Subtract 33 from both sides of the equation.
-20x = -40 Divide by -20 on both sides of the equation.
x = 2
Then, with this value, we will place it into the equation that was already solved for y in order to get a definite value for y.
y = 6(2) - 11
y = 12 - 11
y = 1
Using this information, the coordinate pair for this equation (the point of intersection between the two lines) is (2, 1).
Find the distance between the points (-3,1) and (1,-4)
Answer:
[tex]\sqrt{41} \: \: or \: 6.4 \: \: units[/tex]Step-by-step explanation:
The distance between two points can be found by using the formula
[tex]d = \sqrt{ ({x1 - x2})^{2} + ({y1 - y2})^{2} } \\ [/tex]where
(x1 , y1) and (x2 , y2) are the points
From the question the points are
(-3,1) and (1,-4)
The distance between them is
[tex]d = \sqrt{ ({ - 3 - 1})^{2} + ({1 + 4})^{2} } \\ = \sqrt{ ({ - 4})^{2} + {5}^{2} } \\ = \sqrt{16 + 25} \\ [/tex]We have the final answer as
[tex] \sqrt{41} \: \: or \: 6.4 \: \: units[/tex]Hope this helps you
0.72 is ten times as much as ________. *
Answer:
0.072 or .072
Step-by-step explanation:
0.72 is ten times as much as 0.072.
0.072 times 10 is .72.
0.72 / 10 = 0.072 .
Answer:
0.072 or .072
Both is right
Question Help
A particular country has so total states in the areas of all 50 states are added and the sum is divided by 50, the result is 188,461 square kilometers Determine whether
This result is a statistic or parameter
Answer:parameter
Step-by-step explanation:
what is 0.1 as a fraction
Answer:
1/10
Step-by-step explanation:
divide the numerator by the denominator. For example, 1/2 is equal to 1 divided by 2, which is equal to 0.5.
Answer:
1/10
Hoped I helped
2.5 tons = how many pounds
Answer:
5000 pounds
Step-by-step explanation:
1 ton = 2000 pounds so 2.5 = 2000 + 2000 + 1000 = 5000
Answer:
5,000 pounds
Step-by-step explanation:
just subtract 2.5 by 1,000 5 times
[tex]6 = \frac{m}{8} [/tex]
what does m equal?
Answer:
m = 48
Step-by-step explanation:
Isolate the variable, m. Note the equal sign, what you do to one side, you do to the other. Multiply 8 to both sides:
6 = m/8
(6) * 8 = (m/8) * 8
6 * 8 = m
m = 6 * 8
m = 48
48 is your answer for m.
~
A rectangular field is nine times as long as it is wide. If the perimeter of the field is 1200 feet, what are the dimensions of the field?
A) Write an equation you can use to answer the given question. Let
w be the width of the field. Do not solve the equation yet.
What is the equation?
(Make sure you use the correct variable.)
B) Use your equation to find the dimensions of the field.
The width of the field is how many feet?
The length of the field is how many feet?
Answer:
width=60 length=540
Step-by-step explanation:
(w+9w)*2=1200
A truck rental serivce charges a $20 insurance fee and $30 an hour to rent a trick. Write an equation that can be used to find c,the cost for rent a truck for n hours.
Answer:
c=30n+20 represents the cost to rent a truck for n hours.
Step-by-step explanation:
$30 dollars an hour multiplied by n.
30n
+20 for the insurance for the truck.
Mark borrowed $5,500 at 11.5 percent for five years. What is the amount of Mark's total payment? $8,520 $8,160 $7,410 $7,257
Answer:
7,257
Step-by-step explanation:
use the formula of: M = amount/discount factor
explain please!!
12. A shipment of TV sets, some weighing 30 kg each and the other weighing 50 kg each, has a total weight of 220 kg. If there
are 20 TV sets all together, how many weigh 50 kg and how many weigh 30 kg?
A. 6 weigh 50 kg and 14 weigh 30
B. 15 weigh 50 kg and 5 weigh 30.
C. 2 weigh 50 kg and 18 weigh 30
D. 14 weigh 50 kg and 6 weigh 30
E. 4 weigh 50 kg and 16 weigh 30
F. 11 weigh 50 kg and 9 weigh 30
Answer:
D
Step-by-step explanation:
Let a be the number of TV sets that weight 30 kg and let b be the number of TV sets that weigh 50 kg.
So, all together, they have a total weight of 880. In other words:
[tex]30a+50b=880[/tex]
And, there are 20 TV sets all together. Thus:
[tex]a+b=20[/tex]
This is a system of equations. Solve by substitution. Subtract b from both sides in the second equation:
[tex]a+b=20\\a=20-b[/tex]
Substitute this into the first:
[tex]30a+50b=880\\30(20-b)+50b=880[/tex]
Distribute:
[tex]600-30b+50b=880[/tex]
Subtract 600 from both sides:
[tex]-30b+50b=280[/tex]
Combine like terms:
[tex]20b=280[/tex]
Divide both sides by 20:
[tex]b=14[/tex]
So, there are 14 TV sets that weight 50 kg.
Plug this in for the second equation to solve for a:
[tex]a+b=20[/tex]
Plug in 14 for b:
[tex]a+14=20[/tex]
Subtract 14 from both sides:
[tex]a=6[/tex]
Therefore, there are 6 TV sets that weigh 30 kg and 14 TV sets that weigh 50 kg.
Our answer is D :)
Step-by-step explanation:
Total number of T..V sets we have 20
Let x be the number of T.V sets that weigh 30 kg and y be the no. of sets that weigh 50 kg
When we add all we get a total of 880
[tex]\blue\star[/tex] 30a + 50b = 880
It is given to us that
[tex]\blue\star[/tex]a + b = 20. eq 1
[tex]\blue\star[/tex]a = 20-b
Put the value of a in ist equation we get,
[tex]\blue\star[/tex]30(20-b) + 50b =880
[tex]\blue\star[/tex]600 - 30b+50b = 880
[tex]\blue\star[/tex]600 + 20b = 880
[tex]\blue\star[/tex]20b = 280
[tex]\blue\star[/tex] b = 14
so there are 14 T.V sets that weigh 50 kg
put it in eq 1 we get
[tex]\blue\star[/tex] a + b =20
[tex]\blue\star[/tex]a + 14 = 20
[tex]\blue\star[/tex]a = 6
Hope it helps.
60÷3[150÷2{6+3(17-14)}]
Answer:
plz mark as BRAINLIEST....
Step-by-step explanation:
60÷3[150÷2{6+3(17-14)}]
= 60÷3[150÷2{9-3}]
=60÷3[75-6]
=20-69
=49
If m∠ TUW = (5x + 3)°, m∠WUV=(10x-5)°, and m∠TUV=(17X-16)°, find each measure
Answer: m∠ TUW = 38°
m∠WUV = 12°
m∠TUV = 103°
Step-by-step explanation:
Given: m∠ TUW = (5x + 3)°, m∠WUV=(10x-5)°, and m∠TUV=(17x-16)°
Since, m∠TUV = m∠ TUW + m∠WUV
So, 17X-16 = (5x + 3) + (10x-5)
⇒ 17X-16 = 5x + 3 + 10x-5 [open parenthesis]
⇒ 17X-16 =5x + 10x +3 -5 [combine like trems]
⇒ 17X-16 =15x -2
⇒ 17X -15x = -2+16 [subtract 15x and add 16 on both sides]
⇒ 2x = 14
⇒ x= 7 [divide both sides by 2]
Now, m∠ TUW = (5(7) + 3)°= 38°
m∠WUV=(10(7)-5)° = 12°
m∠TUV=(17(7)-16)° = 103°
Hence, m∠ TUW = 38°
m∠WUV = 12°
m∠TUV = 103°
The phrase "linear regression" pertains to regression models with normal equations that can be expressed in matrix form using linear algebra to determine coefficient estimates.
A. True
B. False
Answer:
TRUE ( A )
Step-by-step explanation:
linear regression represents/ models the linear relationship between a dependent/scalar variable and an independent variable or one or more independent variables
Linear regression pertains to regression models with normal equations because Linear regressions can be calculated using a linear equation/algebra
example : Y= a + bX
Twice the difference of x and 7, is -23
Answer:no its 24
Step-by-step explanation:
bc x is like 15
n ΔABC, AB = 10 and BC = 5. Which expression is always true? A. 5 < AC < 10 B. AC = 5 C. 5 < AC < 15 D. AC = 10
Answer:
A. 5 < AC < 10
Step-by-step explanation:
We are given the ∆ABC
To solve for the sides of ∆ABC , we make use of Pythagoras Theorem
Pythagoras Theorem states that:
AB² = AC² + BC²
Where AB = Longest side, hence its length is always more that AC and BC.
In the above Question, we are given the values of AB and BC
AB = 10
BC = 5
Inputting these values into the Pythagoras Theorem,
10² = AC² + 5²
100 = AC² + 25
AC² = 100 - 25
AC² = 75
AC = √75
AC = 8.6602540378
According to the above calculation, we can see that the expression that is always true = Option A "5 < AC < 10"