Answer:
A. [tex]\text{r} = \frac{\text{E}-\text{v}}{\text{I}}[/tex]
Step-by-step explanation:
E = v + Ir
E - v = Ir (subtract by v on both sides)
(E-v)/I = r (divide by I on both sides)
[tex]\therefore \text{r} = \frac{\text{E}-\text{v}}{\text{I}}[/tex]
(Express the answer as dollar.cents)
Answer:
$46.20
Step-by-step explanation:
Do 8.80 times 7 to get 61.6 then divide by four to get 15.40 then subtract it by 61.6 to get 46.20
A number cube has edges of 8 centimeters. What is the surface area of the number cube?
-64 square centimeters
-192 square centimeters
-384 square centimeters
-512 square centimeters
Answer:
384 square centimeters
Step-by-step explanation:
The surface area formula for a cube is 6L^2
(L=length or in this case edge)
Plug in values and solve the formula.
SA=6L^2
SA=6(8^2)
SA=6(64)
SA=384 square centimeters
Express 2x² - 12x + 7 in the form a (x + b)² + c, where a, b and c are constants.
Answer:
2(x-3)² - 11 where a = 2, b = -3, c = -11
Step-by-step explanation:
Taking the first 2 terms,
2x² - 12x ==> 2(x² -6x) [1]
x² -6x can be rewritten as (x -3)² - 9 [2]
since (x-3)² = x² -6x + 9
Substituting for x² -6x in [1] we get
2(x² -6x) = 2((x -3)² - 9 ) = 2(x-3)² -18
Therefore substituting for 2x² - 12x in the original equation we get
2x² - 12x + 7 = 2(x-3)² -18 + 7 ==> 2(x-3)² -11
this is in the form (a(x+b) + c where a = 2, b = -3 and c= -11
Cross-check
2(x-3)² - 11 ==> 2 (x² -6x +9) -11 ==> 2x² -12x +18 - 11 ==> 2x² -12x + 7
could someone PLEASE help me with this slope activity? any help would be appreciated, ive been stuck on it for days. this is 10th grade geometry, whoever helps i will gladly give you 5 stars, im just rlly stuck on this
Answer:
Slope = (y₁-y₂) / (x₁- x₂)JMy₂ = -3
x₁ = 2
x₂ = 2
Slope = ( 1 + 3) / 0 = undefined
JK
y₁ = 1
y₂ = 4
x₁ = 2
x₂ = 5
Slope = ( 1-4) / (2-5) = 1
KL
y₁ = 4
y₂ = 1
x₁ = 5
x₂ = 7
Slope = (4-1) / ( 5-7 ) = -1.5
MLy₁ = -3
y₂ = 1
x₁ = 2
x₂ = 7
slope = (-3-1) / ( 2-7) = 4/5
whats the median number mode and mean for 95, 97, 100, 86, 78, 96
Answer:
Mean = 92
Median = 95.5
There is no mode.
What is mean, median, and mode?
Mean, median, and mode are terms in math when it comes to looking at charts and sets/groups of numbers.
1. The mean is the average of a data set.
2. The median is the middle of a data set.
3. The mode is the most common number in a data set.
Mean is found by adding the numbers and dividing the sum by the number of numbers in the list. This is what is most often meant by an average. The median is the middle value in a list ordered from smallest to largest. The mode is the most frequently occurring value on the list.
Before we start, let's put the set of numbers in order from least to greatest,
95, 97, 100, 86, 78, 96
78, 86, 95, 96, 97, 100
Now that we have done that let's find the mean,
78 + 86 + 95 + 96 + 97 + 100 = 552
There are 6 numbers in this set so we need to divide 552 by 6,
552 ÷ 6 = 92
92 is the mean/average of this data set,
Now let's find the median,
If we take a look at the data set we can see that there are two numbers in the middle because there are 6 in total,
78, 86, 95, 96, 97, 100
Because there are two values that are in the middle we need to add them up and divide the sum of them by 2,
95 + 96 = 191
191 ÷ 2 = 95.5
95.5 is the median of this data set,
Now let's find the mode,
If we take a look at the date set we can see that none of the numbers are repeated,
So this means there is no mode to this data set,
Therefore the mean is 92, the median is 95.5, and there is no mode.
Give an example of a strong, negative correlation
coefficient.
Answer:An example of a strong negative correlation would be -0.97 whereby the variables would move in opposite directions in a nearly identical move.
Step-by-step explanation:An example of a strong negative correlation would be -0.97 whereby the variables would move in opposite directions in a nearly identical move.
A window is shaped like a parallelogram
The base of the window is 14.25 inches.
The area is 356.25 square inches. What
is the height of the window?
Answer:
Do the area divided by the base on a calculator for the answer
Answer:
Height of the window= 25 inches
Step-by-step explanation:
Area of a parallelogram : base * height (of the side taken as base)
so height = area/base = 356.25/14.25 = 25 inches
Statistical uncertainty in estimates associated with the fact that surveys do not interview every individual in the population of interest is called __________. Group of answer choices measurement error sample bias probability sampling sampling error
Statistical uncertainty in estimates associated with the fact that surveys do not interview every individual in the population of interest is called Sampling Error , Option D is the correct answer.
What is Sampling Error ?Sampling error is the difference between the estimated value and the true value if the whole population was enumerated while doing the sampling.
By following the sampling principles one can keep the sampling error to the minimum.
The knowledge of the sampling error will help in evaluating the sampling process and defining gits efficiency.
The factors that affect Sampling Error are
Sample Size: When the sample size is large , the Sampling error decreases , They do not have a direct proportion.Sample Design : These define how the sample will be taken , cluster , random , stratified , Different methods have different extent of sampling error , The design should be selected according to the population and resources constraints.Population Variability : The variability in the population increases the sampling error as the sampling is then cannot be uniform and cannot represent the entire population , By increasing sample size , the population variability can be minimized and so the sampling error.Statistical uncertainty in estimates associated with the fact that surveys do not interview every individual in the population of interest is called sampling Error.
Therefore , Option D is the correct answer.
To know more about Sampling Error
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10 cans of mushrooms cost $27.80. The cost of each can is the same. What is the cost of
each can?
Answer:
This problem gives us the total amount of cans and it also gives us the total cost and asks us to find the cost of each can when every can costs the same amount. To do this we need to $ to be on the top and the can on the bottom because we say price PER can.
[tex]\frac{total\ price}{total\ amount\ of\ cans}[/tex]
[tex]\frac{\$27.80}{10\ cans}[/tex]
[tex]\$2.78\ per\ can[/tex]
Therefore, our final answer is that each can costs $2.78
Hope this helps! Let me know if you have any questions
PPPPPPPPPPPPPPPPLLLLLLLLLLLLLLLLEASE Help
Answer:
4cm
Step-by-step explanation:
sin(30) = 2/x (using trigonometry)
rearrange for x to give x = 2/sin(30)
then x = 4cm (using calculator)
SIMILARLY:
You can use 2/cos(60) to also give 4cm
somebody please help me
Answer:
1/18
Step-by-step explanation:
I have provided a tree diagram showing all the possibilities
Answer:
[tex]P=\frac{2}{9}=0.222\\[/tex] for green ball
[tex]P=\frac{2}{8} =0.25[/tex] for red ball
Step-by-step explanation:
For green ball probability will be,
[tex]P=\frac{2}{9}=0.222\\[/tex]
while for the red ball, it will be,
[tex]P=\frac{2}{8} =0.25[/tex]
HELP I WILL MARK BRAINIEST IF YOU HELP
Answer:
3.5 Is the answer, this is dialation
Answer:
x = 28
Step-by-step explanation:
Since none of the current side values of Triangle 1 can be increased by the same values to represent Triangle 2, we have to divide the values of Triangle 1 by half.
T1 S1: 10 / 2 = 5
T1 S2: 8 / 2 = 4
T1 S3: 12 / 2 = 6
Now in order to find out the value that you need to multiply these sides by, you need to divide Triangle 2's values by Triangle 1's simplified side values.
T2 S1: 35 / 5 = 7
T2 S2: x / 4 = ?
T2 S3: 42 / 6 = 7
Triangle 2's Side 1 becomes 7 and Triangle 2's Side 2 becomes 7 as well. Because the value of x is unknown and both Triangle's sides seem to be the same value of 7, you can safely assume that Triangle 2's Side 2 will also have a value of 7.
x / 4 = 7
x = 7(4)
x = 28
Jamal is looking for a summer job. One job pays $10 per hour. Another pays $15 per hour but requires a uniform that costs $50. What are the two quantities that vary in relation to each other in this situation?
Answer:
Jamel work one job per hour pays =$10
Jamel work Another pays=$15
Jamel Uniform costs=$50
Total situation=$7,500
simplify 8w+12/4 and make it correct
Answer:
[tex]8w+\frac{12}{4}[/tex] = 8w+3
[tex]\frac{8w+12}{4}[/tex] = 2w+3
Step-by-step explanation:
For [tex]8w+\frac{12}{4}[/tex], you can divide 12 by 4 which is three.
For [tex]\frac{8w+12}{4}[/tex], you have to divide each term. 8w is the same as 8·w. 8·w/4 is 2·w. 12/4 is 3.
The correct value of this simplified expression is 8w + 3
This question is related to algebraic expression and simplification.- Algebraic expression is a mathematical sentence that involves letters accompanied by real numbers, where it can be a variable or unknown.
- Simplification of a number is just the division of the same divisor by the numerator and denominator.
Given the expression: 8w+12/4, the only term in this expression that can be simplified is the fraction. So let's divide these two numbers by the number 2:
8w + 12 / 4
8w + 12 ÷ 2 / 4 ÷ 2
8w + 6 /2
It is still possible to simplify this expression - dividing the numerator by the denominator, so:
8w + 6 /2
8w + 6 ÷ 2
8w + 3
Therefore, the correct answer of this expression will be 8w + 3
Simplify 12.4 and 12.39
Answer:
12.4 and 12.39 = 4.836x12
Step-by-step explanation:
How many degress will the hour hand of a well clock move from 1:00am to 4:00am
Answer:
90
Step-by-step explanation:
each minute on the clock is 6 degrees so 6*5=30= 1 hour
30*3=90 because 3 hours
Here's the question, please help!
#1
x²/2+y²/3(2sint)²/2+(3sint)²/34sin²t/2+9sim²t/32sin²t+3sim²t5sin²tFalse
#2
x²+y²4sin²t+9sin²t13sin²tFalse
#3
3x²+2y²3(4sin²t)+2(9sin²t)12sin²+18sin²t30sin²tFalse
None of the above
Answer:
None of these
Step-by-step explanation:
To convert the parametric curve into Cartesian form,
rewrite the equation for [tex]x[/tex] to make [tex]\sin t[/tex] the subject:
[tex]x=2\sin t[/tex]
[tex]\implies \sin t=\dfrac{x}{2}[/tex]
Substitute this into the given equation for [tex]y[/tex]:
[tex]\begin{aligned}y & =3 \sin t\\\implies y & = 3 \left(\dfrac{x}{2}\right)\\y& = \dfrac{3}{2}x\end{aligned}[/tex]
Therefore, the Cartesian form of the parametric curve is:
[tex]y=\dfrac{3}{2}x[/tex]
Further Information
[tex]\dfrac{x^2}{2}+\dfrac{y^2}{3}=1 \quad \textsf{is the equation of a vertical ellipse}[/tex]
[tex]\textsf{with center (0, 0), co-vertex }\sf \sqrt{2}, \textsf{ and vertex }\sqrt{3}[/tex]
[tex]x^2+y^2=6 \quad \textsf{is the equation of a circle}[/tex]
[tex]\textsf{with center (0, 0) and radius }\sf \sqrt{6}[/tex]
[tex]3x^2+2y^2=1 \quad \textsf{is the equation of a vertical ellipse}[/tex]
[tex]\textsf{with center (0, 0), co-vertex }\sf \dfrac{\sqrt{3}}{3}, \textsf{ and vertex }\dfrac{\sqrt{2}}{2}[/tex]
PLEASE EASY 20 POINTS A new park in the shape of a hexagon will have 6 sides of equal length.
On a scale drawing, the coordinates of the vertices of the park are (26.5, 12), (38.5, 7), (26.5, 2), (13.5, 2), (1.5, 7), and (13.5, 12).
How long is each side of the park?
Answer:
13
Step-by-step explanation:
26.5 - 13.5 = 13
Winston is making steaks for his 7 friends. If each steak is 7.2 oz, how much steak is Winston making?
Answer:
3.15 lbs or 50.4 oz
Step-by-step explanation:
multiply steak oz by the number of steaks
7.2 * 7 = 50.4
to convert oz to lbs divide by 16
50.4/16 = 3.15
your answer is 50.4 oz or 3.15 lbs
hope this helps:)
I need help with my math!! help me pleaasee.
Answer:
60 degrees
Step-by-step explanation:
Angles in a triangle add up to 180
79 add 41 is 120
180 minus 120 is 60
The lifespan of a pair of shoes is normally distributed with a mean of
24 months and a standard deviation of 6 months. what is the
probability that a new pair of shoes won't last longer than 18 months?
a)8%
b)50%
c)23%
d)16%
e)34%
Donald bought a box of golf balls for $9.26. There were 18 golf balls in the box. About how much did each golf ball cost?
Answer:
$0.51 per golf ball.
Step-by-step explanation:
9.26 divided by 18 is 0.51.
Answer:
$1.94 dollars
Step-by-step explanation:
hehe
Felipe bought 32 ounces of nuts at the store. How much is this in pounds?
Answer:
2 pounds (lbs)
Step-by-step explanation:
please answer 60 points
Answer:
c. 90 cm³
Step-by-step explanation:
Formula applied :
Volume (triangular prism) = Base × Height
Solving :
⇒ Volume = 9 cm² x 10 cm
⇒ Volume = 90 cm³
The answer option is c
Answer:
c. 90 cm³
Step-by-step explanation:
Formula
Volume of a right prism = area of base × height
Given:
area of base = 9 cm²height = 10 cmSubstitute the given values into the formula:
⇒ Volume = 9 cm² × 10 cm
= 90 cm³
8 ft
6 ft
Find the area of this figure. Round your
answer to the nearest hundredth. Use
3.14 to approximate i.
A = [? ] ft2
Answer:
49.12 ft squared
Step-by-step explanation:
1/2(6*8) = 24
1/2(16)pi = 8pi = 25.12
total: 49.12
( 8 + 92 ) - 4 x 10 what is it
Answer: 60
8 + 92 = 100
4 × 10 = 40
100 + 40 = 60
Answer:
[tex]60[/tex]
Step-by-step explanation:
[tex](8 + 92) - 4 \times 10[/tex]
[tex]100 - 4 \times 10[/tex]
[tex]100 - 40[/tex]
[tex]60[/tex]
Hope this helps!
What is the answer to the problem 20.754 - 14.526
Answer:
6.228
Step-by-step explanation:
Does anybody know this?The two pentagons shown are similar if the area of the smaller pentagon is 232m^3 find the area of the larger pentagon
Answer:
(a) 362.5 m²
Step-by-step explanation:
The ratio of areas is proportional to the square of the ratio of side lengths.
__
scale factorlarger/smaller = (35 cm)/(28 cm) = 5/4
areaThe larger area is the square of this scale factor times the smaller area.
(5/4)²(232 m²) = 362.5 m²
_____
Additional comment
We assume the units are intended to match. It is impossible for a pentagon with a side length of 28 cm to have an area of 232 m². A regular pentagon with a side length of 28 cm will have an area of about 0.1349 m².
Which expression calculates the time in hours and object takes to travel 38 miles at the speed of 2 m/h?
38/2
38—2
38+2
38 • 2
Reason:
Distance = rate*time
time = distance/rate
time = (38 miles)/(2 mph)
time = 38/2 hours
time = 19 hours
A class contains 5 girls and 5 boys. Two are selected for a class committee. What is the probability that a girl and boy are selected?
Answer:
20/39.
Step-by-step explanation:
There are a total of 13 students.
Prob(Boy is selected) = 8/13
Prob(Girl is then selected) = 5/12
So probability ( Boy selected then a girl) = 8/13 * 5/12 = 10/39
- and the probability of Girl then a boy selected is also 10/39
So the required probability = 2 * 10/39
= 20/39.