Answer:
0.82 L
Step-by-step explanation:
Answer: 0.82 liters
Step-by-step explanation:
-4x+3y=-2
y=x-1
x=
y=
Answer:
Easy thankyou for coming to me your answer is x= -1 and y=-2
Step-by-step explanation:
Hope that help.
Answer:
Step-by-step explanation:
here you go mate'
step 1
-4x+3y=-2,y=x-1 equation
step 2
y=x-1;-4x+3y=-2 rewrite the equation
step 3
y=x-1 1st equation
step 4
-4x+3y=-2 saubstitute
-4x+3(x-1)=-2
-x-3=-2
step 5
-x-3=-2 simplify by adding 3 to both sides
-x=1
step 6
-x/-1=1/-1 divide
x=-1
second equation
step 1
y=x-1 substitute
y=-1-1
step 2
y=-1-1 simplify
y=-2
answer
x=-1 and y=-2
Find the equation for parabola
Focus(3,4)
Directrix y=2
Answer:
Step-by-step explanation:
we know that distance d from the focus to P should be the same to the distance from P to the directrix
(x-h)^2=4p(y-k)
we need to find the y coordinate,
x is the same from focus, 3
y=(3, (4+2)/2)=(3,3)
we find p now by subtracting the y from the focus from the y that we just found
p=4-3=1
again (x-h)^2=4p(y-k), p=1
(x-3)^2=4(1)(y-3)
(x-3)^2=4(y-3), (x-3)^2=4y-12
simplify
4y=(x-3)^2+12
y=((x-3)^2)/4 + 3
The equation for the parabola would be y = ((x-3)^2)/4 + 3.
How to find the equation for the parabola?We already know that distance d from the focus to P must be the same as the distance from P to the directrix
(x-h)^2 = 4p(y-k)
x is the same from focus 3
y = (3, (4+2)/2)
y =(3,3)
by subtracting the y from the focus from the y that we get
p = 4-3 =1
similalry,
(x-h)^2=4p(y-k), p=1
(x-3)^2=4(1)(y-3)
(x-3)^2=4(y-3),
(x-3)^2=4y-12
simplify it;
4y=(x-3)^2+12
y = ((x-3)^2)/4 + 3
Thus, the equation for the parabola would be y = ((x-3)^2)/4 + 3.
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Each vertical cross-section of the triangular prism shown below is an isosceles triangle.
8
What is the height, h, of the triangular prism?
Round your answer to the nearest tenth.
Answer:
x = 3 unitsStep-by-step explanation:
use Pythagorean theorem:
a² + b² = c²
where a = h
b = 8/2 = 4
c = 5
plugin values into the formula:
h² + 4² = 5²
h² = 5² - 4²
x = √9
x = 3
The midpoint of \overline{\text{AB}}AB is M(-6, -4)M(−6,−4). If the coordinates of AA are (-4, -3)(−4,−3), what are the coordinates of BB?
Answer:
The coordinates of B is (-8,-5).
Step-by-step explanation:
The midpoint of line AB is M. The coordinate of M is (-6,-4).
The coordinates of A is (-4,-3)
We need to find the mid point of B.
If M(x,y) is the midpoint of the coordinates (x₁,y₁) and (x₂,y₂). The mid point theorem is used as follows :
[tex]M(x,y)=(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2})[/tex]
Let the mid point of B is (x₂,y₂). Put (x,y) = (-6,-4), (x₁,y₁) = (-4,-3).
[tex](-6,-4)=(\dfrac{-4+x_2}{2},\dfrac{-3+y_2}{2})\\\\\dfrac{-4+x_2}{2}=-6\ \text{and}\ \dfrac{-3+y_2}{2}=-4\\\\-4+x_2=-12\ \text{and}\ -3+y_2=-8\\\\x_2=-12+4\ \text{and}\ y_2=-8+3\\\\x_2=-8\ \text{and}\ y_2=-5[/tex]
So, the coordinates of B is (-8,-5).
The coordinates of B are (-8, -5).
Given that,
The midpoint of AB is M(-6, -4). If the coordinates of A is (4,-2),
We have to determine,
The coordinates of B.
According to the question,
The midpoint of line AB is M. The coordinate of M is (-6,-4).
And the coordinates of A is (-4,-3)
If M(x, y) is the midpoint of the coordinates (x₁, y₁) and (x₂, y₂). The midpoint theorem is used as follows :
[tex]M(x, y) = ( \dfrac{x_1+x_2}{2}, \dfrac{y_1+y_2}{2})[/tex]
Let the midpoint of B be (x₂, y₂).
M (x, y) = (-6,-4), and (x₁, y₁) = (-4,-3).
[tex]M(-6, -4) = ( \dfrac{-4+x_2}{2}, \dfrac{-3+y_2}{2})\\\\[/tex]
Solving the equation for the co-ordinate B.
[tex]\dfrac{-4+x_2}{2} = -6\\\\-4 + x_2 = -6 \times 2\\\\-4 + x_2 = -12\\\\x_2 = -12+4\\\\x_2 = -8[/tex]
And,
[tex]\dfrac{-3+y_2}{2} = -4\\\\-3 + y_2 = -4 \times 2\\\\-3 + y_2 = -8\\\\y_2 = -8 + 3\\\\y_2 = -5[/tex]
Hence, The required coordinates of B are (-8, -5).
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The following list gives the number of siblings for each of 8 students. 3, 4, 2, 1, 2, 0, 3, 0 Find the modes of this data set. If there is more than one mode, write them separated by commas. If there is no mode, click on "No mode."
Answer:
3, 2, 0
Step-by-step explanation:
There are three modes, all numbers have at least two appearances.
Please give thanks by clicking the heart! I solved your other problem too :)
Lin Ying belongs to an athletic club. In 800 m races her times are normally distributed with mean 128 seconds and standard deviation
4 seconds.
(a) What is the probability of her time in an 800 being between 120 and 130 seconds?
(b) What time will she beat in 70% of her races?
Julie belongs to the same club. In 800 m races 85% of her times are less than 140 seconds and 70% are less than 135 seconds. Her times are normally distributed.
(c) Find the mean and standard deviation of Julie's times, each correct to two significant figures.
(d) What is the probability that in an 800 m race Lin Ying will beat Julie?
(e) The club has to choose one of these two athletes to enter a major competition. In order to qualify for the final rounds it is necessary to achieve a time of 114 seconds or less in the heats. Which athlete should be chosen and why?
Answer:
Nine of the times for the first race were at least 16 seconds
Step-by-step explanation:
Here we have from the scatter plot, the times are given as
Time Frequency
19 2
18 2
17 2
16 3
15 1
Therefore, total number of times that are above 16 seconds in the first race is
3 + 2 + 2 + 2 = 9
Therefore, the first option is correct
Answer:
Step-by-step explanation:
The answer is below. Plesetake a look and it will help you
Please help me slove this problem
3x - 3 = 12
Answer:
x=5
Step-by-step explanation:
We kind of have to work backward.
First, we take 12+3 because when we move it over the equal sign, we make it the opposite.
12+3=15
Our new equation is now, 3x=15
We now take:
3x__=15
The blank represents x, which is 5.
Hope this helps!
-AxekickNebulite
how would you multiply negative numbers? or negative fractions for example -12 x 12 is what and please explain good
Answer:-12 x 12 =- 144.
What you do is multiply regularly then add the negative sign, but if your multiplying 2 negatives it’s a positive answer. I cant help with the Fractions caz I’m not good at them lol .
3. Determine whether the set of numbers can be the measures of the sides of a triangle. If so, classify the triangle as acute, obtuse, or right. 16, 30, 33
Answer:
all of them are acute
.......
Answer:
yes. it will be an acute.
1. The waiting times (in minutes) of customers at a certain bank is given below. 5.5 6.5 6.7 7.2 6.4 7.3 (a) Construct a 95% confidence interval for the mean waiting time of all customers at the bank. (b) Based on the confidence interval in (a), will the bank manager be satisfied if she wishes the average waiting time in her bank to be less than 7 minutes
Answer:
The 95% confidence interval is
[tex] 5.92 < \mu < 7.284 [/tex]
Step-by-step explanation:
From the question we are told that
The data is 6.5 6.7 7.2 6.4 7.3
Generally the sample mean is mathematically represented as
[tex]\= x = \frac{\sum x }{n}[/tex]
=> [tex]\= x = \frac{ 5.5 + 6.5 + \cdot 7.3 }{ 6}[/tex]
=> [tex]\= x = 6.6[/tex]
Generally the standard deviation is mathematically represented as
[tex]\sigma = \sqrt{ \frac{ \sum (x_i - \= x )^2 }{ n-1} }[/tex]
=> [tex]\sigma = \sqrt{ \frac{ (5.5 - 6.6 )^2 +(6.5 - 6.6 )^2 + \cdot + (7.3 - 6.6 )^2 }{ 6-1} }[/tex]
=> [tex]\sigma = 0.6512[/tex]
Gnerally the degree of freedom is mathematically represented as
[tex]df = n- 1[/tex]
=> [tex]df = 6 -1[/tex]
=> [tex]df = 5[/tex]
From the question we are told the confidence level is 95% , hence the level of significance is
[tex]\alpha = (100 - 95 ) \%[/tex]
=> [tex]\alpha = 0.05[/tex]
Generally from the t distribution table the critical value of [tex]\frac{\alpha }{2}[/tex] is
[tex]t_{\frac{\alpha }{2} , 5 } = 2.571 [/tex]
Generally the margin of error is mathematically represented as
[tex]E = t_{\frac{\alpha }{2}, 5 } * \frac{\sigma }{\sqrt{n} }[/tex]
=> [tex]E = 2.571 * \frac{0.6512}{\sqrt{6} }[/tex]
=> [tex]E = 0.6835 [/tex]
Generally 95% confidence interval is mathematically represented as
[tex]\= x -E < \mu < \= x +E[/tex]
=> [tex]6.6 - 0.6835 < \mu < 6.6 + 0.6835[/tex]
=> [tex] 5.92 < \mu < 7.284 [/tex]
A large aquarium has 6 more fish than a small aquarium. There are 19 fish in the large aquarium. How many fish are in the small aquarium
Answer: 13
Step-by-step explanation:
Many firms use on the job training to teach their employees computer programming. Suppose you work in the personnel department of a firm that just finished training a group of its employees to program, and you have been requested to review the performances of one of the trainees on the final test that was given to all trainees. The mean of the test score is 78. Additional information indicated that the median of the test scores was 85. What type of distribution most likely describes the shape of the test scores
Answer:
Skewed to the left
Step-by-step explanation:
In pearson mode skewdness, the mean, mode and median are used to determine if we have a positive or negative skewed distribution.
Now, If the mean is greater than the median, it means that the distribution is positively skewed and therefore skewed to the right. However, If the mean is less than the median, it means that the distribution is negatively skewed and therefore skewed to the left.
In our question, the median is 85 and mean is 78. Thus, it means median is greater than the mean and as such, the distribution isnegatively skewed and therefore skewed to the left.
A bag contains 70 coins consisting of quarters and dimes. The total value of coins is $11.50. Which system of equations can be used to determine
the number of quarters, q, and the number of dimes, d, in the bag?
A. d+9= 70
0.100 +0.25q = 11.50
B. d + 9 = 70
0.25d + 0.107 = 11.50
C. d+q = 11.50
0.25d + 0.10g = 70
D. d +9 = 11.50
0.100 +0.25= 70
Need help!!!!!!!!!!!!!
Answer:
25 units (cant see what it says on the side :/ ) per hour
Step-by-step explanation:
hope this helps <3
wirte the fractional coefficient for 1 1/4
a boy has 10 cookies. and his brother has 2.5 times as many. how many does the brother have
Answer:
25
Step-by-step explanation:
There are 15 applicants for four jobs : Computer Programmer , Software Tester , Manager , and Systems Engineer
IS THIS A PERMUTATION OR COMBINATION ?
Answer:
it Permutation 32760
Step-by-step explanation:
it permutation because the order is matter
15p4=32760
This is the case of a combination and the possibility of arrangement is 1365.
What is the combination?The combination is the process of choosing items or things from a bigger group where the order is irrelevant. The combination formula aids in determining the number of possible combinations that can be created by selecting a portion of a bigger set of objects.
Given There are 15 applicants for four jobs: Computer Programmer, Software Tester, Manager, and Systems Engineer.
From the difference between permutation and combination:
A permutation is a method of arranging all the members in order. The combination is a selection of elements from a collection.
Since the order is not asked thus this is the case of a combination
and total arranging possibility = ⁿCₓ
total arranging possibility = ¹⁵C₄
total arranging possibility = 15! /( 11! * 41)
total arranging possibility = 1365
therefore, This is a combination case, and the number of possible arrangements is 1365.
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At ShopRite, chicken sells for $3.75 per pound. How much would it cost to buy 2.25 pounds of chicken?
Answer: 8.4375 U.S. dollars2
Step-by-step explanation:
Answer:
$8.44
Step-by-step explanation:
From the question it self we know that 1 pound of chicken costs $3.75. In order to solve this question we just need to find out how much 1 pound does fit into 2.25 pounds and then multiple the result by $3.75. We can find that out by dividing 2.25 by 1, and we get 2.25. Then we do the following....
2.25 x $3.75 = $8.4375
We got $8.4375 as an answer but we have to remember that when we are talking about money and we have to round to the nearest cent (which is equal to 1 hundredth of a dollar). So now we just have to round to the nearest hundredth, and we get $8.44 as our answer.
7/12 x 1/8 Find the product of in simplified form
Answer:
7/96
Step-by-step explanation:
to find the answer you need to multiply both numerators together and put that over the product of the denominators, this is going to leave you with a fraction smaller than the original fractions. that is normal, because you are multiplying terms smaller than one together. same applies to decimals less than one
Which of the following is equal to 16.4 ?
O A. 32
O B. V16.4
O c.
D. 64
Answer:
b?
Step-by-step explanation:
b= v16.4
Your friend finds the measure of the exterior angle shown. Is your friend correct?
Answer:
will i think that's true
Step-by-step explanation:
I hope this helps you
Answer:
I think that it is yes
Step-by-step explanation:
Hope this helped have an amazing day!
Pls help I’m so confused! What would be the last step?
Answer:
SSS(Side,Side,Side)
Step-by-step explanation:
In the previous reasons you have proven that all of the sides of each triangle are equal to the corresponding side. You can use SSS to prove that the two triangles are congruent.
i need help with this one (T_T)
Kirby is packing granola bars for a filed trip. He already packed 2 bags with 5 granola bars in each bag. He has 10 more granola bars to pack. How many granola bars will Kirby pack in all
Answer:
20 granola bars
Step-by-step explanation:
One way to find the total cost of a jacket for $55 with a sales tax of 2%
Answer:
cost of jacket 55
sales tax 2/
55/ 2 percent × 100
2,750
The right rectangular prism below has a square base?Select yes or no.
Answer:
no
Step-by-step explanation:
if it's a prism then it wont have a square bottom
Which statement is true
A. The 6 in 0.6 is ten times the value of the 6 in 6.0 (wrong)
B. The 6 in 6.5 is 1/10 the value of the 6 in 65
C. The 6 in 625 is 100 times the value of the 6 in 625
Answer:
i think it A
Step-by-step explanation:
WILL MARK BRAINLIEST PLEASE ANSWER 12/15+5/15 1 NUMBER FOR EACH SLOT
Answer:
17/15
Step-by-step explanation:
or if u reduce it would be 12/15
A box contains 1 3/4 Pasta how many ounces of pasta are in the box
Answer:
Step-by-step explanation:
is there more information to the question??
Which graph is defined by the function given below?
y= (x+3)(x +3)
-10
-10+
10-
A
B.
C
D.
Step-by-step explanation:
Since y = (x + 3)(x + 3), the root is x = -3.
Only Graph A touches the x-axis once.