Given:
The equation is:
[tex]y+2=6(x+6)[/tex]
To find:
The given equation in the form of [tex]Ax+By=C[/tex], where A, B, C are integers.
Solution:
We have,
[tex]y+2=6(x+6)[/tex]
It can be rewritten as:
[tex]y+2=6x+36[/tex]
[tex]y-6x=36-2[/tex]
[tex]-6x+y=34[/tex]
The above equation is in the form of [tex]Ax+By=C[/tex], where [tex]A=-6,B=1[/tex] and [tex]C=34[/tex].
Therefore, the requires equation is [tex]-6x+y=34[/tex].
A drone builder states in their terms of conditions that the battery for their foldable drone will last for more than 4 hours of continuous flight-time if the battery was fully charged before the flight. To test this, claim a sample of n = 10 drones were tested. The results showed a sample mean of 4.2 hours and a sample standard deviation of 0.4 hours. Conduct the hypothesis test using a 0.5 level of significance and determine whether or not the manufacturers claim is supported.
Answer:
The manufacturer's claim is not supported
Step-by-step explanation:
The time duration the battery of the foldable drone is said to last, μ = 4 hours
The number of drones that were tested, n = 10 drones
The sample mean, [tex]\overline x[/tex] = 4.2 hours
The standard deviation, s = 0.4 hours
The hypothesis test level of significance = 0.5
The null hypothesis, H₀; μ = 4
The alternative hypothesis, Hₐ; μ ≠ 4
The test statistic is given as follows;
[tex]t=\dfrac{\bar{x}-\mu }{\dfrac{s }{\sqrt{n}}}[/tex]
We get;
[tex]The \ test \ statistic, \ t =\dfrac{4.2 - 4}{\dfrac{0.4}{\sqrt{10} } } \approx 1.58113883008[/tex]
Therefore, the test statistic, t ≈ 1.58
The degrees of freedom, d. f. = n - 1
For n = 10, we have;
The degrees of freedom, d. f. = 10 - 1 = 9
From the t-table at 0.5 level of significance, the critical-t = 0.7
Given that the test statistic is larger than the critical-t, we reject the null hypothesis and there is enough statistical evidence to suggest that the manufacturer claim is not supported and that the mean is not 4 hours as claimed.
PLEASE HELP THIS IS OVERDUE!!
Answer:
It is y=2x+4.
Step-by-step explanation:
Alright, so with this question, the slope and y-intercept is needed. First, lets get the y-intercept.
The y-intercept value would be 4 as this is the y value for where the line crosses over this intercept, being the coordinate (0,4).
Next, with the slope, look at where the line crosses over when the x value is 1, the y value is 6, (1, 6).
From this, we can find the slope. What is the climb/fall in the line after moving forward an x value forward? It is going up 2 y values, from 4 to 6. Therefore, the slope is 2.
With this, we can plug in the parts we need to get the final answer:
y = (2 Slope) x + (4 Y-Intercept)
y=2x+4
Answer:
[tex]y=2x+4[/tex]
Step-by-step explanation:
Written in the form [tex]y=mx+c[/tex]
The constant c is where the line intercepts the y-axis.
From the graph we can determine that c is equal to 4.
m is the slope of the line. To find it we can do [tex]\frac{dy}{dx}[/tex] where dy is the difference in y-coordinates between two points and dx is the difference between the x-coordinates.
From the graph we can pick out 2 points that lie on the line:
Point 1 (0,4)
Point 2 (1,6)
So the slope is [tex]\frac{4-6}{0-1} =\frac{-2}{-1}=2[/tex]
Now let's rewrite it in the form [tex]y=mx+c[/tex].
[tex]y=2x+4[/tex]
The table shows morgan’s tips from five customers that he served at the Pizza Palace. What percent of these customers left more than a 15% tip? (i really need help PLEASE)
Answer:
2 people left more than 15%.
What is the midpoint of the segment AB given point A(-6.1) and point B(3,7)?
a) (14,6)
b) (7,3)
c) (2,8)
d) (1,4)
Someone please help me I’ll give out brainliest please dont answer if you don’t know
Answer:
x≥−3
Step-by-step explanation:
Let's solve your inequality step-by-step.
2x+3/ −3 ≤1
Step 1: Simplify both sides of the inequality.
−2/ 3 x−1≤1
Step 2: Add 1 to both sides.
−2/ 3 x−1+1≤1+1
−2/ 3 x≤2
Step 3: Multiply both sides by 3/(-2).
( 3/ −2 )*( −2/ 3 x)≤( 3/ −2 )*(2)
x≥−3
Answer:
x≥−3
Find the volume of the cylinder. Round your answer to the nearest tenth.
Answer:
87.9
Step-by-step explanation:
I searched it up
Does the tallest can always hold the greatest volume? Explain your answer!
Alrighty, so, you know how young children often believe that a taller container will have a greater volume than a shorter container? Even after seeing that both containers hold the same amount, some children will still think the taller container holds more. It may take measuring the water a few times before they get it.
If it overflows, the first container is bigger, or is able to hold more water. If all of the water from the first container can be poured into the second container without completely filling it, then the second container holds more water.
The tallest container holds the most liquid. Identical containers can have a different capacity.
2. The pitcher had 1 quarts of water. After Lena poured some of the water into
a bowl, the pitcher had') quart of water left How much water was poured in
the bowl?
PLEASE HELLPPPP!!!!!
Answer:
25
Step-by-step explanation:
if X = 4 then you would do
4(4) + 9
since 4 x 4 is 16
add that by 9
16 + 9 = 25
so the value of 4x + 9 = 25
Hope this helps
HElP PLS I WILL DO ANYTHING BUT HELP
Answer:
1/32
Step-by-step explanation:
There is a 1/8 chance of spinning green on the first spinner and a 1/4 cnace of spinning blue on the second spinner. To find the probability of both spinners landing on the desired color, multiply their probabilities.
1/8 * 1/4 = 1/32 chance of landing on green and then blue.
Simplify each expression
-4 + 7 (1-3m)
Answer:
3 - 21m
Step-by-step explanation:
-4 + 7(1-3m)
-4 + 7 - 21m
3 - 21m
Question 8 of 10
In a normal distribution, what percentage of the data falls within 3 standard
deviations of the mean?
O A. 34%
O B. 68%
O c. 99.7%
O D. 95%
Using the Empirical Rule, it is found that the percentage within 3 standard deviations of the mean in the Normal distribution is given by:
c. 99.7%.
What does the Empirical Rule state?It states that, for a normally distributed random variable:
Approximately 68% of the measures are within 1 standard deviation of the mean.Approximately 95% of the measures are within 2 standard deviations of the mean.Approximately 99.7% of the measures are within 3 standard deviations of the mean.Hence, option C is correct.
More can be learned about the Empirical Rule at https://brainly.com/question/24537145
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(7 + 5) · 2 - 4² ÷ 8 + 3
what is the answer for this? show work too
Answer: 0.5
Step-by-step explanation:
You need to use
Brackets
Indices
Division
Multiplication
Addition
Subtraction
7 + 5 =12
12 - 16 = -4
-4 / 8 = -0.5
-0.5 + 3 = 2.5
2.5 - 2 = 0.5
Answer: 4
Step-by-step explanation: 7+5=12
12×2=24
24- (4×4)= 24-16=8
8÷8=1
1+3=4
HELP DUE IN 5 MINUTES
Explain how you use a net to find the surface area of a prism.
Answer:
how to use a nurse to do find of surface prism is that you want to Play-Doh lens height and width
Step-by-step explanation:
.....................
Answer:
3 3.14 [tex]\pi[/tex] 3.142 22/7
In a science experiment, a student concluded that a ray has to travel a distance from one corner at the top of the rectangular prism to the opposite side where the surface touching the floor is intersected. If the length, width, and height of the prism are given as 24 inches and 8 inches, 6 inches respectively, what is the distance travelled by the ray?
Answer:10
Step-by-step explanation:24-6-8=10
The distance travelled by the ray will be 26 inches. Then the correct option is B.
What is coordinate geometry?Coordinate geometry is the study of geometry using the points in space. Using this, it is possible to find the distance between the points, the dividing line is m:n ratio, finding the mid-point of the line, etc.
In a science experiment, a student concluded that a ray has to travel a distance from one corner at the top of the rectangular prism to the opposite side where the surface touching the floor is intersected.
If the length, width, and height of the prism are given as 24 inches and 8 inches, 6 inches respectively.
Then the distance travelled by the ray will be
We know the formula
D² = L² + W² + H²
We have
L = 24 in
W = 6 in
H = 8 in
Then the distance will be
D² = 24² + 6² + 8²
D² = 576 + 36 + 64
D² = 676
D = 26 in
Thus, the correct option is B.
More about the coordinate geometry link is given below.
brainly.com/question/1601567
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Ejercicio1:
Una tienda automotriz coloca los precios de los autos sin incluir el IGV. Si en un modelo de auto se indica 15000 dólares. ¿Cuál es el precio del auto incluido el IGV de 18%?
ayuda porfa
Answer:
Cost of car including VAT = $17,700
Step-by-step explanation:
Given:
Cost of car without VAT = $15,000
Rate of VAT = 18%
Find:
Cost of car including VAT
Computation:
Cost of VAT = Cost of car without VAT x Rate of VAT
Cost of VAT = 15,000 x 18%
Cost of VAT = 15,000 x 18
Cost of VAT = $2,700
Cost of car including VAT = Cost of car without VAT + Cost of VAT
Cost of car including VAT = 15.000 + 2700
Cost of car including VAT = $17,700
Please answer the following question:
Answer:
99 cm²
Step-by-step explanation:
1/2 BH
1/2 18 x 11
9 x 11
99
A cyclist cycles a distance of 60 miles in a time of 6 hours.
What is her average speed?
Answer: 10 mph
Step-by-step explanation:
Samuel wants to buy cookies for his friend. The diameter of a cookie is 20 inches. What is the cookies area? Round to the nearest hundredth
Answer:
314.16
Step-by-step explanation:
Area=πr2
d=2r
Solving for Area
A=1
4πd2=1
4·π·202≈314.15927
The surface area of a three-dimensional object is:
A. The total length of its edges incorrect answer
B. The area of one of its faces incorrect answer
C. The total area of its outer surface incorrect answer
D. The amount of space inside
Answer:
c
Step-by-step explanation:
The total surface area of a 3-dimensional object is the sum of the areas of the faces or surfaces of a 3 dimensional object
for example, the total surface area of a cube is the sum of the area of all the six faces
the total surface area of a cube = 6a²
where a = edge
if a = 6
total surface area
6(6²) = 216
Find the indicated conditional probability
using the following two-way table:
Grade
Drive to school
Take the bus
Walk
Sophomore
N
25
3
Junior
13
20
N
Senior
25
5
5
P(Walk to school | Senior ) = [?]
Round in the
Answer: 0.14
Step-by-step explanation
The required conditional probability would be 0.71.
What is the probability?Probability refers to a possibility that deals with the occurrence of random events.
The probability of all the events occurring need to be 1.
The conditional probability is defined as:
P(A|B) = P(A∩B)/P(B)
From the given two-way table, we get
Drive to school and senior = 25
Senior = 25+5+5
= 35
Total = 2+25+3+13+20+2+25+5+5
= 100
Now,
P( Drive to School and Senior) = 25 / 100
P( Senior) = 35/ 100
Thus,
P( Drive to School | Senior) = 25 / 35 = 0.71
Therefore, the required conditional probability would be 0.71.
Learn more about probability here;
https://brainly.com/question/11234923
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Solve the problem.
The locations, given in polar coordinates, of two ships are (7 mi, 44°) and (8 mi, 104°). Find the
distance between the two ships.
A=3601 mi
B=10.63 mi
C=7.55 mi
D=4.00 mi
60 yd
63 yd
What is the length of the hypotenuse?
Owen's goal is to drink 6060 ounces of water each day for three days. On the first day, he met \frac{2}{3} 3 2 of his daily goal, on the second day he met \frac{4}{5} 5 4 of his daily goal, and on the third day he only met \frac{1}{4} 4 1 of his daily goal. During the three-day period, how many ounces of water did he drink altogether? Use paper to show your work.
Answer:
Step-by-step explanation:
Owen's goal is to drink 6060 ounces of water each day for three days. On the first day, he met \frac{2}{3} 3 2 of his daily goal, on the second day he met \frac{4}{5} 5 4 of his daily goal, and on the third day he only met \frac{1}{4} 4 1 of his daily goal. During the three-day period, how many ounces of water did he drink altogether? Use paper to show your work.
30.16 = 17.56 + 5x what is x
Answer:
x = 2.52
feel free to hit the crown
Answer:
2.52
Step-by-step explanation:
30.16 - 17.56 = 12.6
12.6 / 5 = 2.52
To verify if you plug it in, 30.16 = 17.56 + 5(2.52)
I hope it helped :)
Which equations represent exponential growth?
Which equations represent exponential decay?
Drag the choices into the boxes to complete the table.
Exponential Growth Exponential Decay
Answer:
Growth;
A = 20,000(1.08)^t
A = 40(3)^t
P = 1700(1.07)^t
Decay;
A = 80(1/2)^t
A = 1600(0.8)^t
P = 1700(0.93)^t
Step-by-step explanation:
The key to differentiate between decay and growth is the term inside the bracket
For growth, the term inside the bracket is greater than 1, while for decay, the term inside the bracket is less than 1
Looking at the given equations, we have;
Growth;
A = 20,000(1.08)^t
A = 40(3)^t
P = 1700(1.07)^t
Decay;
A = 80(1/2)^t
A = 1600(0.8)^t
P = 1700(0.93)^t
Answer:
* For future readers *
I just took the test :)
PLSSSSS HELP ME I WILL GIVE BRAINLIEST
Answer:
y-intercept is (0,5)
Step-by-step explanation:
When a graph passes through (0,a), that's y-intercept. y-intercept is a point on y-plane that a graph passes through.
For Ex. If a graph passes through (0,4) then the y-intercept would be (0,4).
But remember that it must be (0,a) for it to be y-intercept (Because it has to intersect the y-plane)
(Sorry, I forgot to post the graph on the last one) The table below shows the water temperature at certain depths of a lake. Using an logarithmic model, write an equation for the curve of best fit, then estimate the depth of water at a temperature of 50 degrees F.
Answer:
B
Step-by-step explanation:
Mrk me BRAINLIEST PLZZZZZZZZ
Define Sustainable development.
Answer:
economic development that is conducted without depletion of natural resources.
Step-by-step explanation: