Answer:
Step-by-step explanation:
1). System of equations is,
-2x - y = -22 -------(1)
4x - 8y = 4 -------(2)
By satisfying these equations with the given point (9, 4),
Equation (1)
-2(9) - 4 = -22
-18 - 4 = -22
-22 = -22
True.
Equation (2)
4(9) - 8(4) = 4
36 - 32 = 4
4 = 4
True.
Given point lies on both the equations.
Therefore, the given point is the solution of the system of equations.
2). 3x - 3y = 27 -----(1)
-2x + 9y = -11 ------(2)
Satisfy the equations with the given point (-10, -1)
Equation (1)
3(-10) - 3(-1) = 27
-30 + 3 = 27
-27 = 27
False.
Equation (2)
-2x + 9y = -11
-2(-10) + 9(-1) = -11
20 - 9 = -11
11 = -11
False.
Therefore, the given point is not the solution of the system of equations given.
To charter a fishing boat for 3 hours the captain charges a base fee of 45.00 plus 15.00 per person using variables construct a function that models the total cost of a 3-hour charter in terms of the number of people in your function. Define any variables you use. What is the correct interpretation of the initial value snd the rate of change
Answer:
$90.00
Step-by-step explanation:
Given
[tex]c = 45.00[/tex]--- base fee
[tex]m = 15.00[/tex] --- rate
[tex]x = 3[/tex] --- individuals
Required
Determine the total amount paid (y)
The relationship between the variables is:
[tex]Total = Base\ Fee + Rate * Individuals[/tex]
[tex]y = c + mx[/tex]
This gives:
[tex]y = 45.00 + 15.00 * 3[/tex]
[tex]y = 45.00 + 45.00[/tex]
[tex]y = 90.00[/tex]
Hence, the amount is $90.00
The temperature of a piece of metal was 32°C. It was then lowered into a glass of
hot water and the temperature of the piece of metal rose to 36°С. Find the
percentage increase in the temperature of the piece of metal.
Answer:
12.5%
Step-by-step explanation:
Given that,
Initial temperature of a piece of metal = 32°C
Final temperature of the piece of metal = 36°С
We need to find the percentage increase in the temperature of the piece of metal. The percentage increase in any value is given by the relation as follows :
[tex]\%=\dfrac{|\text{final value-initial value}|}{\text{initial value}}\times 100\\\\=\dfrac{36-32}{32}\times 100\\\\=12.5\%[/tex]
So, the required percentage increase in the temperature of the piece of metal is equal to 12.5%.
A color printer prints 10 pages in 4 minutes. How many minutes does it take per page?
Answer:
2/5 minute OR 24 seconds
Step-by-step explanation:
4/10 = 2/5 minute
Hope that helps!
a polygon has 10080° as the total interior angle how many sides has the polygon
The formula for the sum of the interior angles of a polygon is (n - 2) * 180. In this formula, N is the number of sides. So, to find the number of sides that a polygon with an interior angle measure of 10080 has, we'll set the formula equal to 10080.
10080 = (n - 2) * 180
Divide both sides by 180
56 = n - 2
Add 2 to both sides
n = 58
Hope this helps!! :)
Answer:
58 sides
Step-by-step explanation:
The sum of the interior angles of a polygon is 10,080°
n = the number of sides
(2n - 4)90 = 10080
2n - 4 = 10080/90 = 112
2n = 116
n = 58.
HELP ME PLEASE NOBODY IS ACTUALLY HELPING THIS OS SO HARD AND IM STUCK 7TH GRADE MATH
WNBA Mean:__________
WNBA Mean Absolute Deviation:_________________
NBA Mean:___________________
NBA Mean Absolute Deviation:_______________________
The variability in heights is only different by _____________ inches.
Answer:
1. 72 [tex]\frac{5}{11}[/tex]
3. 79 [tex]\frac{5}{6}[/tex]
Step-by-step explanation:
The mean is found by dividing the sum of the inputs by the total number of inputs.
Answer:
enjoy your day hope the answer comes to you
Step-by-step explanation:
cost of 4 dozen bananas is rupees 180 how many bananas can be purchased for rupees 30 unto
Answer:
8 bananas
Step-by-step explanation:
4 dozen is equal to 48 and 180 divided by 48 is 3.75 then 30 divided by 3.75 is 8
Hey guys can you please help me with this math problem?
Answer:
77777777
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
its a because it has a greater base value
Match each equation on the left to the mathematical property it uses on the right
Answer:
attachment plz
Step-by-step explanation:
nothing is being seen
Find the ratio created when AB is partitioned by C.
Write your ratio with a, : and do not include spaces.
Answer:
Step-by-step explanation:
From the picture attached,
Segment AB has been divided into four equal parts.
Let each part measures equal length = 1 unit
Point C is 2 units apart from both the points A and B.
Length of AC = Length of BC = 2 units
Therefore, point C will be the mid point of segment AB.
And ratio of AC and BC = 1:1
AC:BC = 1:1
Similarly, AC:AB = 2:4
= 1:2
And BC:AB = 2:4
= 1:2
Doug rents a kayak for 12 days the rental charges 18 per day what is the best estimate for the total cost of the kayak rental
Answer:
200
Step-by-step explanation:
I rounded both numbers and multiplayer them.
2.
Akeem is making juice for a class party. For every 1 litre of water, he uses 100 ml of juice
mix
If he uses 4 litres of water, how many ml of juice does he use?
Answer:
400ml of juice
Step-by-step explanation:
1 litre of water = 100ml of juice
4 litres of water =? ml of juice
to get from 1 litre to 4 litre of water you multiply by 4,so you do the same for the juice and multiply the juice by 4.
100×4=400
4 litres of water = 400ml of juice
The factors of p2-2pq+q are
Answer:
Unsure
Step-by-step explanation:
did you forget the q^2
if so,
(p-q)^2
if not,
you can't simplify any further
Answer:
qp 2
Step-by-step explanation:
ASAP
Can someone help me with 2-10 I understand the first problem but I'm not really sure how to do the others.
Answer:
A e3 x0 +
Step-by-step explanation:
I need to find the volume
Answer:
[tex]941 in^{3}[/tex]
Step-by-step explanation:
Find the mean, variance, and standard deviation of the binomial distribution with the given values of n and p.
n = 80, p = 0.2
Answer:
mean =16
variance=12.8
standard deviation =3.578
Step-by-step explanation:
mean=np=80×0.2=16
variance= np(1-p)
=16(1-0.2)
=12.8
standard deviation =
[tex] \sqrt{12.8} [/tex]
=3.5777
=3.578
Which is the closest synonym for the word productive?
Press enter to interact with the item, and press tab button or down arrow until reaching the Submit button once the item is selected:
A.) Mysterious
B.) Cheerful
C.) Confident
D.) Valuable
Answer:
The answer would be letter D. Valuable.
Which equation represents a line with slope -1/2
that passes through (-3, 4) ?
Answer:
y=-1/2x+5/2
Step-by-step explanation:
y-4=-1/2(x-(-3))
y-4=-1/2(x+3)
y-4=-1/2x-3/2
y=-1/2x-3/2+4
y=-1/2x+5/2
-4x+9y=9
3y-6=x
Solve the system of equations and fill in the blanks
X=
Y=
Step-by-step explanation:
the answer for x = 9
the answer for y = 5
Suppose the weights of Farmer Carl's potatoes are normally distributed with a mean of 8.0 ounces and a standard deviation of 1.1 ounces.
(a) If 5 potatoes are randomly selected, find the probability that the mean weight is less than 9.3 ounces? Round your answer to 4 decimal places.
(b) If 6 potatoes are randomly selected, find the probability that the mean weight is more than 9.0 ounces? Round your answer to 4 decimal places.
Answer:
a) 0.9959 = 99.59% probability that the mean weight is less than 9.3 ounces
b) 0.0129 = 1.29% probability that the mean weight is more than 9.0 ounces
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution and the central limit theorem.
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
Central Limit Theorem
The Central Limit Theorem estabilishes 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.
Mean of 8.0 ounces and a standard deviation of 1.1 ounces.
This means that [tex]\mu = 8, \sigma = 1.1[/tex]
(a) If 5 potatoes are randomly selected, find the probability that the mean weight is less than 9.3 ounces?
[tex]n = 5[/tex] means that [tex]s = \frac{1.1}{\sqrt{5}} = 0.4919[/tex]
This probability is the pvalue of Z when X = 9.3. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{9.3 - 8}{0.4919}[/tex]
[tex]Z = 2.64[/tex]
[tex]Z = 2.64[/tex] has a pvalue of 0.9959
0.9959 = 99.59% probability that the mean weight is less than 9.3 ounces
(b) If 6 potatoes are randomly selected, find the probability that the mean weight is more than 9.0 ounces?
[tex]n = 6[/tex] means that [tex]s = \frac{1.1}{\sqrt{6}} = 0.4491[/tex]
This probability is 1 subtracted by the pvalue of Z when X = 9. So
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{9 - 8}{0.4491}[/tex]
[tex]Z = 2.23[/tex]
[tex]Z = 2.23[/tex] has a pvalue of 0.9871
1 - 0.9871 = 0.0129
0.0129 = 1.29% probability that the mean weight is more than 9.0 ounces
A baby girl weighed 6 pounds at birth and 8
pounds one month later. How many ounces
did the baby gain in her first month of life?
A. 16 ounces
В.
64 ounces
C. 32 ounces
D. 48 ounces
Answer: C
Step-by-step explanation:
1 pound is equivalent to 16 ounces. She earned 2 pounds in 1 month, meaning that you have to multiply 16 times 2, which gives 32 ounces. Hope this can help you! Have a great day/night!
A set of buttons sells for $2.75 and costs $0.55 to make. Twenty percent of the profit (the difference between the purchase price and the amount it costs to make) from each set of pencils goes to RMS. If 500 sets are sold, what is the amount of money that will go to the school? i will give brainlyest A
$195.00
B
$220.00
C
$275.00
D
$310.00
Answer: b
Step-by-step explanation: I am 95% sure
The digits of a two-digit number sum to 8. When the digits are reversed, the resulting number is 18 less than the original number. What is the original number?
26
35
53
62
Answer:
original number = 53
Step-by-step explanation:
In two digits number:
Let the tens place digit be x and units place digit be y.
So,
Original number = 10x + y
Number obtained after reversing the digits = 10y + x
According to the first condition:
x + y = 8.... (1)
According to the second condition:
10y + x = 10x + y - 18
10y + x - 10x - y = - 18
9y - 9x = - 18
-9(x - y) = - 18
x - y = - 18/(-9)
x - y = 2.......(2)
Adding equations (1) & (2), we find
x + y + x - y = 8 + 2
2x = 10
x = 10/2
x = 5
Plug x = 5 in equation (1), we find:
5 + y = 8
y = 8 - 5
y = 3
10x + y = 10*5 +3 = 50 + 3 = 53
Hence, original number = 53
I have no idea what to do help me solve this please and please provide an explanation.
Question: what is the value of x?
Answer:
x = 48 (in degrees, I assume)
Step-by-step explanation:
Note that the two horizontal lines have those extra arrowheads on them? The red ones? That notation means those lines are parallel to each other.
In geometry, we learn that when two parallel lines are crossed by a third line (called a 'transversal'), alternate interior angles are congruent.
The two angles with labeled quantities are alternate exterior angles. They are 'alternate' because they are on opposite sides of the transversal line, and 'exterior' because they are above and below the the two horizontal lines, not contained in the interior area between them.
Therefore, 2x + 2 = x + 50
-x - 2 = -x - 2
x = 48
WILL MARK BRAINLYEST AND 50 POINTS
Give a detailed explanation as to why you chose the answer you chose
Given PQ = y, RS = 4y - 15, QR = 2 +6, and PS = 4a - 6, solve for the
length of RS and QR.
Answer:
Check pdf
Step-by-step explanation:
What is 472 x 82 i also need your thiniing process
Answer:
472×82=38704
Step-by-step explanation:
Prime factorization:
2^4×41×59
The area (in square inches) of a rectangle is given by the polynomial function A(x) = x^2+ 10x + 24. If the width of the rectangle is (x + 6) inches, what is the length
Answer:21
Step-by-step explanation:
Solve the triangle. Round your answers to the nearest tenth.
Answer:
Area = 80 units²
Step-by-step explanation:
Given that:
a = 19 units
b = 9 units
c = 97°
Find the area of the triangle!
Area = ab(sin(c))/2
Area = [19×9×(sin(97))]/2
Area = 84.86 units²
Area = 80 units² ✅
______________
#IndonesianPride
- kexcvi -
Define the range of the following:
Answer:
{-2, 3, 4, 5}
General Formulas and Concepts:
Math
Number LineAlgebra I
Range is the set of y-values that are outputted by function f(x)Builder Set Notation {x}Step-by-step explanation:
According to our graph, our y-values are 3, 4, 5 and -2. Since they are all closed dots, they are inclusive in the range:
Remember to put it in number line order.
{-2, 3, 4, 5}
Which of the following are characteristics of the cubic parent function? Select all that apply .
Answer:
A C & D
Step-step explanation: