Answer:
.0548
Step-by-step explanation:
(2-10)/5= -1.6
go to a ztable and get .0548
Solve the literal equation: -24x-12=4y-12x
Answer:
y = 3(3x - 1)
Step-by-step explanation:
Given the equation :
24x-12=4y-12x
Collect like terms
24x + 12x = 4y + 12
36x = 4y + 12
4y = 36x - 12
Divide through by 4
4y / 4 = 36x / 4 - 12 / 4
y = 9x - 3
y = 3(3x - 1)
Hence, y = 3(3x - 1)
For the function, tell whether the graph opens up or opens down, identify the vertex, and tell whether the graph is wider, narrower, or the same width as the graph of y = |x|.
y = 2|x – 1| - 3
opens up, (1, 3), wider
opens up, (1, 3), narrower
opens up, (-1, -3), wider
opens up, (1, -3), narrower
Answer:
The answer is D, the last one.
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Answer:
(d) opens up, (1, -3), narrower
Step-by-step explanation:
The factor of +2 multiplying the function tells you the graph is expanded vertically by a factor of 2. The parent function opens upward, and the positive sign on this expansion factor does not change that. The expansion means that y-values will be farther from the vertex for the same x-value distance from the vertex. This give the appearance of a narrower graph.
As always, the transformation ...
f(x -h) +k
moves the vertex from (0, 0) to (h, k). Here, you have (h, k) = (1, -3), so that is the location of the vertex of the transformed function.
In one U.S city, the taxi cost is $3 plus $0.80 per mile. If you are traveling from the airport, there is an additional charge of $5.50 for tolls. How far can you travel from the airport by taxi for $56.50?
Answer:
60 miles
Step-by-step explanation:
Create an equation where y is the total cost and x is the number of miles traveled.
0.8x will represent the cost from the miles traveled. 8.5 will be added to this to represent the taxi cost and additional charge from tolls:
y = 0.8x + 8.5
Plug in 56.50 as y and solve for x, the number of miles:
y = 0.8x + 8.5
56.5 = 0.8x + 8.5
48 = 0.8x
60 = x
So, you can travel 60 miles
In studying the sampling distribution of the mean, you were asked to list all the different possible samples from a small population and then find the mean
of each of them. Consider the following:
Personal phone calls received in the last three days by a new employee were 2. 4, and 7. Assume that samples of size 2 are randomly selected with replacement from
this population of three values
What different samples could be chosen? What would be their sample means?
O A. Possible samples 2-4, 2-74-2: 4-7, 7-2,7-4
Sample means: 3,45,55
O B. Possible samples: 2-2.2-4,2-74-2, 4-4 4-7,7-2,7-4.7-7
Sample means: 2, 3, 4, 4.5,55,7
OC. Possible samples: 2-4 2-7, 4-7
Sample means: 3.4,45
a
Q
rd
I’m confused with this question
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Answer:
(a) max: None; min: -5
(b) max: 5; min: None
Step-by-step explanation:
a) The upward pointing arrow on the end of the graphed curve tells you that the graph extends upward indefinitely. There is no absolute maximum value.
The solid dot at (-4, -5) is the lowest point on the graph. That tells you the absolute minimum is -5.
__
b) The solid dot at (-4, 5) is the highest point on the graph. That tells you the absolute maximum is 5.
The open dot at (3, -5) is the lowest point on the graph. This means values of the function can be arbitrarily close to -5, but -5 is not one of them. There is no absolute minimum value.
You paid $6.99 for a shirt that was 70% of what was the original price of the shirt?
Answer:
$23.3
Step-by-step explanation:
you can use ratios to solve this:
$6.99/x=0.30/0.100 then cross multiply to get 0.3x=6.99
So, 6.99 divided by 0.3 = 23.3
so the original price is $23.3
Think of 5 positive integers that have a mode of 5 and 6, a median of 6 and a mean of 7.
Answer:
5,5,6,6,13
Step-by-step explanation:
Mode means most often. The 5 numbers has 2 modes 5 and 6
This means that 4 of the numbers must be 5,5,6,6
Median means the middle number must be 6
5,5,6,6,x is the only way to to get the middle number to be 6
We need to average to 7
(5+5+6+6+x) /5 = 7
(5+5+6+6+x) /5 *5= 7*5
(5+5+6+6+x) =35
22+x = 35
x = 35-22
x = 13
The other number is 13
•Calculate the length of
the side AB,
knowing that AC = 2, m (C) = 30 and BC = 4.
Help ..! I really need help with this problem…
A number is selected at
random from each of the sets
£2,3,4} and {1, 3, 5}. Find the
Probability that the sum of the two numbers is greater than 3 but less than 7?
Answer:
0.4444 = 44.44% probability that the sum of the two numbers is greater than 3 but less than 7.
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
A number is selected at random from each of the sets {2,3,4} and {1, 3, 5}.
The possible values for the sum are:
2 + 1 = 3
2 + 3 = 5
2 + 5 = 7
3 + 1 = 4
3 + 3 = 6
3 + 5 = 8
4 + 1 = 5
4 + 3 = 7
4 + 5 = 9
Find the probability that the sum of the two numbers is greater than 3 but less than 7?
4 of the 9 sums are greater than 3 but less than 7. So
[tex]p = \frac{4}{9} = 0.4444[/tex]
0.4444 = 44.44% probability that the sum of the two numbers is greater than 3 but less than 7.
Polly took ½ of an hour to get to the market while David took 2 hours. How much longer did David take to get there?
Answer:
4 times longer
Step-by-step explanation:
1/2 of a hour is 30 minutes
2 hours is 120 minutes
120 ÷ 30 = 4
4 times longer
Answer:
The answer is 4 hours.
Step-by-step explanation:
Think of it like this:
1/2 = 0.5 in decimal form.
2 ÷ 0.5 = 4
I hope this helps. Have a GREAT day!
5a2 + b(a2 + 5) + b2
[tex]\rightarrow\sf {5a}^{2} + {b(a}^{2} + 5) + {b}^{2} [/tex]
Solution:[tex]\rightarrow\sf {5a}^{2} + {b(a }^{2} + 5) + {b}^{2} \\ = \sf {5a}^{2} + {ba}^{2} + b \times 5 + {b}^{2} \\ = \large\boxed{\sf{\red{ {5a}^{2} + {ba}^{2} + 5b + {b}^{2} }}}[/tex]
Answer:[tex]\rightarrow\large\boxed{\sf{\red{ {5a}^{2} + {ba}^{2} + 5b + {b}^{2} }}}[/tex]
[tex]\color{red}{==========================}[/tex]
✍︎ꕥᴍᴀᴛʜᴅᴇᴍᴏɴǫᴜᴇᴇɴꕥ
✍︎ꕥᴄᴀʀʀʏᴏɴʟᴇᴀʀɴɪɴɢꕥ
Solve the equation
tan^2 thetha-3 tan thetha+2=0 for 0
Step-by-step explanation:
[tex]\tan^2 \theta - 3\tan \theta + 2 = 0[/tex]
Let [tex]x = \tan \theta[/tex]
We can then write
[tex]x^2 -3x + 2 = 0\:\:\Rightarrow\:\:(x - 2)(x - 1) = 0[/tex]
or
[tex](\tan \theta - 2)(\tan \theta - 1) = 0[/tex]
The zeros occur when
[tex]\tan \theta = 2\:\:\:\text{or}\:\:\:\tan \theta = 1[/tex]
or when [tex]\theta = 63.4°[/tex] or [tex]\theta = 45°[/tex].
RESOLVER LOS SIGUIENTES SISTEMAS DE ECUACIONES APLICANDO EL METODO DE SUSTITUCION
2x +3y = 2
-6x + 12y = 1
Answer:
x = 1/2; y = 1/3
Step-by-step explanation:
2x + 3y = 2 Eq. 1
-6x + 12y = 1 Eq. 2
Eq. 1
2x + 3y = 2
2x = -3y + 2
x = -3/2 y + 1
Eq. 2
-6x + 12y = 1
De Eq. 1 sabemos que x = -3/2 y + 1
-6x + 12y = 1
-6(-3/2 y + 1) + 12y = 1
9y - 6 + 12y = 1
21y - 6 = 1
21y = 7
y = 7/21
y = 1/3
Eq. 1
2x + 3y = 2
2x + 3(1/3) = 2
2x + 1 = 2
2x = 1
x = 1/2
Respuesta: x = 1/2; y = 1/3
Consider random samples of size 1200 from a population with proportion 0.65 . Find the standard error of the distribution of sample proportions. Round your answer for the standard error to three decimal places.
Answer:
The standard error of the distribution of sample proportions is of 0.014.
Step-by-step explanation:
Central Limit Theorem
The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]
Consider random samples of size 1200 from a population with proportion 0.65 .
This means that [tex]n = 1200, p = 0.65[/tex]
Find the standard error of the distribution of sample proportions.
This is s. So
[tex]s = \sqrt{\frac{0.65*0.35}{1200}} = 0.014[/tex]
The standard error of the distribution of sample proportions is of 0.014.
Linda found that the cost to get a swimming pool installed in her backyard is a linear function of the pool's area. A swimming pool with an area of 1,000 square feet can be installed for $50,000, whereas the installation of an 800 square foot swimming pool costs $35,000. Select the correct graph that models the given relationship.
Answer:
$35,000
Step-by-step explanation:
if $50,000 is to install an area of 1,000 square feet swimming pool and $35,000 can be used to install an 800 square foot swimming pool I think the best graph model is 800 square feet for $35,000 for a cost cut of $15,000 is a good bargain
By recognizing the series as a Taylor series evaluated at a particular value of x, find the sum of each of the following convergent series
1 + 3 + 9/2! + 27/3! + 81/4! + .....
Answer:
the answer should be e^3
Step-by-step explanation:
i hope it helps you
You are making a committee from the class and need to have 6 students on it. There are 32 students in the class.
answer in permutations
Answer:
32P6
Step-by-step explanation:
nPr
n=32
r=6
1. Write 3.3.3.3.3 as a power.
Answer:
3^5
Step-by-step explanation:
On the iPad it looks like that but the five is on the top right smaller
Answer:
3⁵
every 3 has it own power that is 1 however that .3 confused us
The equations of two lines are given. Determine if the lines are parallel, perpendicular, or neither.
8x - 7y = 6
8x - y = -8
Answer:
8x-7y=6
or, -7y=-8x+6
or, y=8x/7-6/7
so the slope is 8/7
8x-y=-8
or, -y=-8x-8
or, y=8x+8
So the slope is 8
Both has different slope and they don't satisfy the property of being perpendicular to each others, so they're neither parallel nor perpendicular.
Answered by GAUTHMATH
Match the number of significant figures to the value or problem.
1
?
0.008
4
?
54
3
?
1002. 43.2
2
?
1.068
Answer:
answer is 1 2 3 and 4 respectively of given match the following
Subtract the given numbers in the indicated base.
41 five
tes
24 five
-
The difference is
five
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Answer:
12
Step-by-step explanation:
In base-5 arithmetic, ...
41 -24 = 12
_____
If we use : to separate columns with different place value, this can be looked at a couple of ways.
Subtraction by addition
2 : 4 + 0 : 2 = 3 : 1 . . . . . make the 1s place match
3 : 1 + 1 : 0 = 4 : 1 . . . . . . make the 5s place match
The total amount added was 0:2 +1:0 = 1:2.
Subtraction using borrowing
4 : 1 - 2 : 4 = (4-1) : (5+1) - 2 : 4
= (4-1-2) : (5+1)-4 = 1:2
A farmer sells four of his farm products Maize, Potatoes, carrots and tomatoes in each of 2 towns into classes of 3 customers. Consumers, Retailers, and wholesellers .
Town1 Maize, Potatoes Carrots tomatoes
consum. 4. 6. 7. 4.
Retailer. 3. 2. 1. 6.
wholesa. 4. 3. 5. 3.
Town2. Maize. Potatoes.Carrots.tomatoes
consum. 4. 5. 3. 6.
Retailer. 7. 8. 4. 4.
wholesa. 2. 4. 6. 1.
In order to sell his produce in these towns , the farmer pays commission to salesman, town managers and division managers as shown.
salesman.townmanagers.divisionmanage
6%. 5%. 2%
4%. 3%. 3%
Selling price per bag is:
Maize Sh 200
Potatoes sh 1000
Carrots sh 700
Find total sales in units by potatoes.
Answer:
Step-by-step explanation:
For its grand opening, a store gives every 12th customer a calendar and every 20th customer a mug. Which guest is the first to receive both a calendar and a mug?
Answer: yes
Step-by-step explanation:
write an equation rectangular room 3 meters longer than it is wide and its perimeter is 18 meters
width = x
length = 3 + x
perimeter = x + x + ( 3 + x ) + (3+x)
18 = x + x + ( 3 + x ) + (3+x)
x + x + ( 3 + x ) + (3+x) = 18
6 + 4x = 18
4x = 12
x = 3
Using each of the digits 2 through 5 only
once, write 2 two-digit whole numbers
whose product is as large as possible.
Answer:
52, 43
Step-by-step explanation:
the first instinct might be to make the first number as big as possible : 54
that leaves for the second number 2 and 3, and the largest combination here is 32 (larger than 23).
54×32 = 1728
but, the area of a rectangle (and that is what we are calculating here) is the larger, the closer the lengths of its side are.
so, a bigger difference between length and width creates a smaller area, than a smaller difference between length and width for similar lengths.
so, what if we sacrifice just a little bit of the length, and make it 53 ? that opens up 4 for the second number, giving us 42 as width. they are much closer to each other with still very similar length.
53×42 = 2226
you see ? much bigger.
let's experiment further and pick 52 as length.
that gives us 43 as width.
52×43 = 2236
and again a little bit closer and with bigger result.
you see, in the previous case we "added" comparably to this last case a 42 (53×42 instead of 52×42), and in the last case we added a 52 (52×43 instead of 52×42) creating the difference of 10.
but of course, this only works, if we don't decrease the length too much.
Answer:
Using each of the digits 2 through 5 only once, write 2 two-digit whole numbers whose product is as large as possible.
(7 + 10i)+(4-10i)-(7-5i)
Answer:
4 + 5i
Step-by-step explanation:
To calculate this you have to combine the like terms until they cannot be combined any further:
7 + 10i + 4 - 10i - (7 - 5i)
11 + 0i - 7 - 5i
7 & 4 are liked terms so add them together + subtract 10i and 10i
4 + 5i <--- Final answer
Hope this helps!
Answer:
4 + 5i
Step-by-step explanation:
(7 + 10i) + (4 - 10i) - (7 - 5i)
7 + 10i + 4 - 10i - (7 - 5i)
11 - 7 + 5i
4 + 51
Based on the diagram, what is cos A?
Enter your answer in the boxes.
COS A=
[tex] cos(A) = \frac{ {b}^{2} + {c}^{2} - {a}^{2} }{2bc} [/tex]
The cos A will be b/c
Cosine functionCosine function in a triangle is the ratio of the adjacent side to that of the hypotenuse
How to solve this problem?The steps are as follow:
Given,AB = c
BC = a
AC = b
AB is hypotenous whereas AC is adjacent side to AAccording to formula of cos,Cos A = Adjacent side to A / Hypoteneous
Cos A = AC / AB
Cos A = b / c
Therefore the value of Cos A in given figure will be b / c
Learn more about Cosine function here:
https://brainly.com/question/8120556
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Which of the following consists of discrete data?
A. Number of suitcases on a plane.
B. Amount of rainfall.
C. Hair color.
D. Tree height.
Answer:
A
Step-by-step explanation:
Number of suitcases on a plane is discrete because you can only have an integer amount. You can't have a fraction of a suitcase on a plane.
find the equation of the line shown
Answer:
y=1/2x+1/2
Step-by-step explanation:
In order to find the slope, you can use rise/run, in this case, the slope is 1/2 and the y-intercept is at (0, 0.5)
the shorter side of a rectangle is 60% of the longer side and the perimeter of the rectangle is 96 inches. find the side lengths
Answer:length 30, width 18
Step-by-step explanation:
60% +100%=160%
160% × 2 = 320 %
96/320 = 0.3 ×100 =30 ( length)
30 × 0.6 =18 (width)
Check: (18 + 30) 2 = 96
