Answer:
A) 120 cm^3
Step-by-step explanation:
area of triangle = 1/2 x 5 x 12 = 30
volume = 1/3 x 30 x 12 = 120
Answer:
A
Step-by-step explanation:
If A is 3 and C is 12, then 4AC equals...?
A. 19
B. 36
C.48
D.144
E. None correct
Answer:
144
Step-by-step explanation:
A 3% fee is taken out of an initial amount of $3,460, and then a $100 fee is taken after that, leaving a new amount of $
Answer:
$3,256.2
Step-by-step explanation:
First, we need to get 3% of 3,460. Find the decimal value of 3%:
3% -> [tex]\frac{3}{100}[/tex] -> 0.03
Next, lets multiply 3,460 by 0.03:
[tex]x=3,460(0.03)[/tex]
[tex]x=103.8[/tex]
Now subtract that number from 3,460:
[tex]3,460-103.8=3,356.2[/tex]
Lastly, lets take the $100 fee off of the number we just got:
[tex]3,356.2-100=3,256.2[/tex]
The new amount is $3,256.2
Answer:
3% fee is taken out of an initial amount of $3,460, and then a $100 fee is taken after that, leaving a new amount of $3,256.2.
explanation:
Alice’s scores for five math test are: 85, 76, 81, 90, 88. What score must she achieve on the sixth test to give her an average of 85?
Rainwater was collected in water collectors at thirty different sites near an industrial basin and the amount of acidity (pH level) was measured. The mean and standard deviation of the values are 5.2 and 1.8 respectively. When the pH meter was recalibrated back at the laboratory, it was found to be in error. The error can be corrected by adding 0.2 pH units to all of the values and then multiply the result by 1.2. Find the mean and standard deviation of the corrected pH measurements.
Answer:
mean = 7.98; standard deviation = 2.52
Step-by-step explanation:
Kindly check the attached images below to see the step by step explanation to the question above.
The formula for the surface area of a cylinder is SA= 2 pi r (h + r). What is the surface area of a cylinder when r = 3 centimetres and h = 4 centemeters?
The surface area of the cylinder, when the radius is 3 centimeters and the height is 4 centimeters, is approximately 131.88 square centimeters.
Use the provided formula for the surface area of a cylinder:
[tex]\[ SA = 2\pi r (h + r) \][/tex]
Given:
[tex]r = 3 \text{ centimeters}[/tex]
[tex]h = 4 \text{ centimeters}[/tex]
Now, substitute these values into the formula and calculate the surface area:
[tex]SA = 2\pi \times 3 \times (4 + 3)[/tex]
[tex]SA = 2\pi \times 3 \times 7[/tex]
[tex]SA = 6\pi \times 7[/tex]
[tex]SA = 42\pi[/tex]
Now, let's calculate the numerical value:
[tex]SA \approx 42 \times 3.14[/tex]
[tex]SA \approx 131.88 \text{ square centimeters}[/tex]
Therefore, the surface area of the cylinder, when the radius is 3 centimeters and the height is 4 centimeters, is approximately 131.88 square centimeters.
Write an expression, using an exponent, that is equivalent to 9 x 9 x 9 x 9 x 9 x 9 x 9.
Answer:
[tex]9^{2}[/tex]
Step-by-step explanation:
Answer:
[tex]9^{7}[/tex]
Step-by-step explanation:
There are 7 9s being multiplied together. This can be written as 9 to the 7th power or [tex]9^{7}[/tex]
need help with this question
Answer:
2√11
Step-by-step explanation:
The square of the hypotenuse (h) of the smaller triangle is given by the Pythagorean theorem:
h² = 6² +8² = 100
The length of x is given by that same theorem:
h² +x² = 12²
x² = 12² -h² = 144 -100 = 44 . . . . . subtract h², fill in its value
x = √44 . . . . . . . . take the square root
x = 2√11 . . . . . . . simplify the root
8.73e16 in standerd form
Answer:
Hello,
Here is your answer:
The proper answer to this question is 87300000000000000.
Here is how:
8.73e16=87300000000000000.
Your answer is 87300000000000000.
If you need anymore help feel free to ask me!
Hope this helps!
(P.S. REMEMBER E IS EXPONET OR ^)
James and Karlee caught a lizard in their backyard. Its length from head to the end of the tail is
3/5 meters and the length of its tail is1/5
Answer:
what do you need answered?
Step-by-step explanation:
Answer:
2/5
Step-by-step explanation:
khan academy
A spinner has a 12 equal sized sections. Three of the sections are orange. What is the probability that the spinner will land on orange?
1/4
Step-by-step explanation:
1/4 is the original fraction of 3/12 simplified
Final answer:
The probability of the spinner landing on an orange section is 1/4 or 0.25, meaning there is a 25% chance it will land on orange.
Explanation:
The question involves calculating the probability of a spinner landing on a specific color. If a spinner has 12 equal-sized sections and three of them are orange, to find the probability of landing on orange, we use the ratio of the number of orange sections to the total number of sections. In this case, there are 3 orange sections and 12 sections in total, so the probability (P) is:
P(orange) = Number of orange sections / Total number of sections
P(orange) = 3 / 12
P(orange) = 1 / 4
Therefore, the probability that the spinner will land on orange is 1/4 or 0.25, which means there's a 25% chance the spinner will land on an orange section.
Find the slope of the line passing through the points (-9. -6) and (-4, 5)
Answer:
The slope of the line is 2.2 or 11/5
Step-by-step explanation:
I graphed the points on the graph below and found the slope of the line.
The slope of the line is 11/ 5.
What is the slope of a line?The slope is equal to the change in y over the change in x, or rise over run.
m = change in y/change in x
The change in x is equal to the difference in x-coordinates (also called run), and the change in y is equal to the difference in y-coordinates (also called rise).
m = (y₂−y₁)/(x₂−x₁)
Substituting the values of x and y into the equation to find the slope.
m = (5 − ( − 6 ))/(−4−(−9))
m =11/5
Therefore, the Slope of the line is 11/ 5.
To learn more about the slope of the line refer to :
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Am isosceles triangle has at least 2 equal sides and equilateral triangle has all sides equal which sentence is true
all isosceles triangles are equilateral triangle
all equilateral triangles are isosceles triangles all equilateral triangles does not necessarily have to be isosceles triangles
An isosceles triangle cannot be an equilateral triangle
Answer:an isosceles triangle cannot be an equilateral triangle
Step-by-step explanation:
An isosceles triangle cannot be an equilateral triangle
Final answer:
An isosceles triangle has at least 2 equal sides and an equilateral triangle has all sides equal. All equilateral triangles are isosceles triangles, but not all isosceles triangles are equilateral triangles.
Explanation:
An isosceles triangle has at least 2 equal sides, while an equilateral triangle has all sides equal. Therefore, the sentence 'All isosceles triangles are equilateral triangles' is not true because not all isosceles triangles have all sides equal. On the other hand, the sentence 'All equilateral triangles are isosceles triangles' is true because every equilateral triangle automatically has at least 2 equal sides. Furthermore, it is possible for an equilateral triangle to not be an isosceles triangle if all three sides are not equal in length. So, the sentence 'An isosceles triangle cannot be an equilateral triangle' is not true.
2x+9+3x+x=
what is it in all 3 solutions
Answer:
6x+9
3(2x+3)
Step-by-step explanation:
Combine like terms
2x+9+3x+x
6x+9
We can factor out 3
3(2x+3)
Answer:
6x + 9
Step-by-step explanation:
2x + 9 + 3x + x =
6x + 9
A study by the department of education of a certain state was trying to determine the mean SAT scores of the graduating high school seniors. The study examined the scores of a random sample of 81 graduating seniors and found the mean score to be 506 with a standard deviation of 83. At the 95% confidence level, find the margin of error for the mean, rounding to the nearest tenth. (Do not write \pm±).
Answer:
The margin of error for the mean is of 165.18 points.
Step-by-step explanation:
We have the standard deviation of the sample, so we use the t-distribution to solve this question.
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 81 - 1 = 80
95% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 80 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.95}{2} = 0.975[/tex]. So we have T = 1.9901
The margin of error is:
M = T*s = 1.9901*83 = 165.18.
In which s is the standard deviation of the sample.
The margin of error for the mean is of 165.18 points.
Final answer:
The answer discusses z-scores for SAT scores, calculating scores above the mean, and comparing performance on different tests.
Explanation:
Z-score for SAT score of 720:
Calculate the z-score: z = (720 - 520) / 115 = 1.74.
Interpretation: A score of 720 is 1.74 standard deviations above the mean.
Math SAT score 1.5 standard deviations above the mean:
Calculate the score: 520 + 1.5(115) ≈ 692.5.
The score of 692.5 is 1.5 standard deviations above the mean of 520.
Better performance on math tests:
For SAT: z = (700 - 514) / 117 ≈ 1.59.
For ACT: z = (30 - 21) / 5.3 ≈ 1.70.
Person with a z-score closer to 2 performed better relative to the test they took.
Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers.
Perform the following computation with radicals. Simplify the answer.
Answer:
[tex]\sqrt[4]{10x^2}[/tex]
Step-by-step explanation:
[tex]\sqrt[4]{5x}.\sqrt[4]{2x} = \sqrt[4]{5x * 2x} = \sqrt[4]{10x^2}[/tex]
Answer:
(10x²)^¼
Or,
10^¼ × x^½
Step-by-step explanation:
(5x)^¼ × (2x)^¼
[5x × 2x]^¼
(10x²)^¼
10^¼ × (x²)^¼
10^¼ × x^½
The equation having null set as its solution set is
A) x = cos x
B) x = e^x
C) x = sin x
D) x = tan x
Answer:
B) x = e^x
Step-by-step explanation:
The graphs of y = e^x and y = x never intersect, so the solution set will be the empty (null) set for ...
x = e^x
_____
There is one intersection of y=x with cos(x) and with sin(x). There are an infinite number of solutions for x = tan(x).
n a survey of 700 year 2005 high school graduates, it was found that 50.3% had enrolled in colleges, 11.1% in vocational institutions, while the other 38.6% did not pursue any further studies. Perform a test of hypotheses to determine whether the college enrollment rate in the population of year 2005 high school graduates was significantly higher than 48%. (Calculate the P-value.) Round to four decimal places.
Answer:
[tex]z=\frac{0.503-0.48}{\sqrt{\frac{0.48(1-0.48)}{700}}}=1.218[/tex]
Now we can calculate the p value given by:
[tex]p_v =P(z>1.218)=0.1116[/tex]
Step-by-step explanation:
Information provided
n=700 represent the random sample selected
[tex]\hat p=0.503[/tex] estimated proportion of college enrollment
[tex]p_o=0.48[/tex] is the value that we want to test
z would represent the statistic
[tex]p_v[/tex] represent the p value (variable of interest)
System of hypothesis
we want to check if the true proportion for the college enrollment is higher thna 0.48, the system of hypothesis are:
Null hypothesis:[tex]p\leq 0.48[/tex]
Alternative hypothesis:[tex]p > 0.48[/tex]
The statistic is given by:
[tex]z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}}[/tex] (1)
Replacing the info given we have:
[tex]z=\frac{0.503-0.48}{\sqrt{\frac{0.48(1-0.48)}{700}}}=1.218[/tex]
Now we can calculate the p value given by:
[tex]p_v =P(z>1.218)=0.1116[/tex]
The following data was collected to explore how the number of square feet in a house, the number of bedrooms, and the age of the house affect the selling price of the house. The dependent variable is the selling price of the house, the first independent variable (x1) is the square footage, the second independent variable (x2) is the number of bedrooms, and the third independent variable (x3) is the age of the house.
Effects on Selling Price of Houses
Square Feet Number of Bedrooms Age Selling Price
2049 5 5 282900
10101 4 8 268600
1033 3 9 137900
1286 2 8 114900
2920 4 4 113000
2443 10 10 154700
2206 2 5 234000
1360 3 4 183400
2405 3 1 193100
Copy Data
Step 1 of 2 :
Find the p-value for the regression equation that fits the given data. Round your answer to four decimal places.
HOW TO PULL THIS UP IN EXCEL-----------------------------------------
To find the p-value from the given data in Excel, populate your data in Excel sheet into various columns for each variable. Then, use the 'Regression' tool under 'Data Analysis' in the 'Data' tab, selecting the appropriate ranges for dependent and independent variables. Ensure that the 'P-Values' box is checked before clicking 'OK'. Excel will then generate the regression analysis with the p-value.
Explanation:In Excel, you can perform regression analysis to deduce the p-value from this data using the following steps:
First, you want to load your data into the Excel sheet. Each independent variable (Square Feet, Number of Bedrooms, Age) should have its own column and the dependent variable (Selling Price) too.Once the data is spread across columns, go to the 'Data' tab, under which you'll find 'Data Analysis'. If it's not visible, you'll have to add it in from 'Excel Options' > 'Add-Ins' > 'Excel Add-Ins' > 'Analysis ToolPak'.After clicking 'Data Analysis', a window will pop up. Choose 'Regression' and click 'OK'.A dialog box will appear. Under 'Input', select the Y Range (dependent variable: Selling Price) and X Range (independent variables: Square Feet, Number of Bedrooms, Age).Mark the box 'Labels' if you have header rows. Also check the box for 'P-Values'.Finally, click 'OK' and Excel will generate the regression analysis including the p-value for your data.Learn more about Regression Analysis and P-Value in Excel here:https://brainly.com/question/30590416
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Christina saves her coins in a cube-shaped coin bank. Her coin bank is 7 inches wide and 7 inches tall. What is the volume of Christina's coin bank?
The volume of Christina's cube-shaped coin bank is calculated by cubing the length of one of its sides, which is 7 inches. The volume is therefore 7 × 7 × 7, or 343 cubic inches.
Explanation:The volume of Christina's cube-shaped coin bank can be calculated using the formula for the volume of a cube, which is Volume = side × side × side. As all sides of a cube are equal and the coin bank is 7 inches wide and 7 inches tall, we can calculate the volume by multiplying 7 inches by 7 inches by 7 inches.
Calculation:
Volume = 7 in. × 7 in. × 7 in. = 343 cubic inches
Hence, the volume of Christina's coin bank is 343 cubic inches.
Final answer:
The volume of Christina's cube-shaped coin bank is calculated using the cube volume formula and is found to be 343 cubic inches.
Explanation:
To calculate the volume of Christina's coin bank, we use the formula for the volume of a cube, which is Volume = side³, where 'side' is the length of one side of the cube. Since the coin bank is 7 inches wide and 7 inches tall, each side is 7 inches. Thus, the volume of the coin bank is:
Volume = 7 in. × 7 in. × 7 in. = 343 in.³
Therefore, Christina's coin bank has a volume of 343 cubic inches.
What is the value of 7 in the number 8.07
0.07 or 7 hundredths.
Weight of a rock: In a geology course, students are learning to use a balance scale to accurately weigh rocks. One student plans to weigh a rock 20 times and then calculate the average of the 20 measurements to estimate her rock's true weight. A second student plans to weigh a rock 5 times and calculate the average of the 5 measurements to estimate his rock's true weight. The student who weighs his rock 5 times uses the mean to calculate the 95% confidence interval for the rock weight (in grams). His interval is (25.2, 29.1). What does a 95% confidence interval for rock weight tell us in this case? Group of answer choices We are 95% confident that this interval includes the mean of the 5 weight measurements taken by this student. We are 95% confident that most rocks of this type weigh between 25.2 g and 29.1 g. We are 95% confident that the true weight of the rock is between 25.2 g and 29.1 g.
Answer:
We are 95% confident that the true weight of the rock is between 25.2 g and 29.1 g.
Step-by-step explanation:
Hello!
A geology student weighted a rock 5 times and estimated the average weight using a 95% CI [25.2; 29.1]gr
The confidence interval is used to estimate the value of the population mean, it gives you a range of values for it.
The 95% level of confidence of the interval indicates that if you were to construct 100 confidence intervals to estimate the population mean, you'd expect 95 of them to include the true value of the parameter.
So with a 95% confidence level, you'd expect the true average weight of the rock to be included in the interval [25.2; 29.1]gr
I hope this helps!
Find the 12th term of the geometric sequence 1,−2,4
Answer:-2048
Step-by-step explanation:
First term(a)=1
Common ratio(r)=-2/1 or 4/-2
Common ratio(r)=-2
nth term=a x r^(n-1)
12th term=1 x (-2)^(12-1)
12th term=1 x (-2)^11
12th term=(-2)^11
12th term=-2048
The 12th term of the geometric sequence 1, −2, 4, .... is equal to -2048.
How to calculate the nth term of a geometric sequence?In Mathematics and Geometry, the nth term of any geometric sequence can be determined by using the following formula:
[tex]a_n=a_1(r)^{n-1}[/tex]
Where:
[tex]a_n[/tex] is the nth term of any geometric sequence.r represents the common ratio.[tex]a_1[/tex] represents the first term of any geometric sequence.In this context, the common ratio would be determined as follows;
Common ratio, r = a₂/a₁
Common ratio, r = -2/1
Common ratio, r = -2
Now, we can determine the 12th term in the sequence defined by this explicit rule;
[tex]a_n=a_1(r)^{n-1}\\\\a_{12}=1(-2)^{12-1}\\\\a_{12}=(-2)^{-11}\\\\a_{12}=-2048[/tex]
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The two box plots show the data of the pitches thrown by two pitchers throughout the season. Which statement is correct? Check all that apply.
Answer:
Doesn’t show image
Step-by-step explanation:
Answer:
B,C
Step-by-step explanation
Pitcher 1 does not have a symmetric data set.
Pitcher 2 has a symmetric data set.
Which object has the mass of about one kilogram?
Answer:
A one-liter bottle of soda has a mass of about 1 kilogram.
The hypotenuse of a right triangle is 10 feet long the longer leg is 2 feet longer than the shorter leg find the side side of the triangle
Answer:
square root of 96 or 9.79
Step-by-step explanation:
a2+b2=c2
2square+b2=10square
4+b2=100
(4-4)+b2=(100-4)
b2=square root96 or 9.79
A green light blinks every 4 seconds and a yellow light blinks every 5 seconds. At how many seconds will the lights first blink at the same time?
Answer:
20 seconds
Step-by-step explanation:
The least common multiple of 4 and 5 is 20. So the two lights will blink at the same time every 20 seconds.
Based on the number of seconds it takes for each light to blink, they will both blink at 20 seconds.
The green light blinks every 4 seconds and the yellow, every 5 seconds.
The time that they will blink together depends on the lowest common multiple of both numbers.
Multiples of 4 = 4, 8, 12, 16, 20
Multiples of 5 = 5, 10, 15, 20
The lowest common multiple is 20 which means they will blink together after 20 seconds.
Find out more at https://brainly.com/question/7419041.
Each group of students receives a bag that has 8 red cubes, 2 green cubes, and 10 blue cubes. If each group makes 100 pulls and replaces the cube after each pull, how many times would you expect them to draw a green cube?
Answer:
10 green cubes
Step-by-step explanation:
The total number of cubes is 8+2+10 = 20
The probability of drawing a green cube when there is replacement is
P(green) = green cubes/ total
=2/ 20
= 1/10
Multiply the probability by the number of draws to get the total number of cubes
1/10 * 100 draws = 10 green cubes
Expect 10 green cube draws in 100 pulls, with 8 red and 10 blue cubes also present.
To calculate the expected number of times a green cube is drawn, we can use the concept of probability.
In each pull, there are 20 cubes in total (8 red + 2 green + 10 blue). So, the probability of drawing a green cube in a single pull is:
[tex]\[ P(\text{green}) = \frac{\text{number of green cubes}}{\text{total number of cubes}} = \frac{2}{20} = \frac{1}{10} \][/tex]
Since each pull is independent and the cubes are replaced after each pull, the probability of drawing a green cube remains the same for each pull.
Therefore, the expected number of times a green cube is drawn in 100 pulls is:
[tex]\[ \text{Expected number of green draws} = P(\text{green}) \times \text{Total number of pulls} = \frac{1}{10} \times 100 = 10 \][/tex]
So, you would expect them to draw a green cube about 10 times in 100 pulls.
The use of social networks has grown dramatically all over the world. In a recent sample of 24 American social network users and each was asked for the amount of time spent (in hours) social networking each day. The mean time spent was 3.19 hours with a standard deviation of 0.2903 hours. Find a 99% confidence interval for the true mean amount of time Americans spend social networking each day
Answer:
The 99% confidence interval for the true mean amount of time Americans spend social networking each day is (3.02 hours, 3.36 hours).
Step-by-step explanation:
The (1 - α)% confidence interval for population mean when the population standard deviation is not known is:
[tex]CI=\bar x\pm t_{\alpha/2, (n-1)}\times \frac{s}{\sqrt{n}}[/tex]
The information provided is:
[tex]n=24\\\bar x=3.19\ \text{hours}\\s=0.2903\ \text{hours}[/tex]
Confidence level = 99%.
Compute the critical value of t for 99% confidence interval and (n - 1) degrees of freedom as follows:
[tex]t_{\alpha/2, (n-1)}=t_{0.01/2, (24-1)}=t_{0.005, 23}=2.807[/tex]
*Use a t-table.
Compute the 99% confidence interval for the true mean amount of time Americans spend social networking each day as follows:
[tex]CI=\bar x\pm t_{\alpha/2, (n-1)}\times \frac{s}{\sqrt{n}}[/tex]
[tex]=3.19\pm 2.807\times \frac{0.2903}{\sqrt{24}}\\\\=3.19\pm 0.1663\\\\=(3.0237, 3.3563)\\\\\approx (3.02, 3.36)[/tex]
Thus, the 99% confidence interval for the true mean amount of time Americans spend social networking each day is (3.02 hours, 3.36 hours).
Evaluate the following expression
40 -8 - 102
Answer:
-70
Step-by-step explanation:
40-8-102
= 32 - 102
= -70
To evaluate the expression 40 - 8 - 102, subtract 8 from 40 to get 32, then subtract 102 from 32 to arrive at -70.
40 - 8 - 102
To solve this expression, we need to follow the order of operations. In this case, since there are only subtraction operations involved, we can proceed from left to right.
40 - 8 = 32
32 - 102 = -70
This gives us the final answer: -70.
A research center poll showed that 81% of people believe that it is morally wrong to not report all income on tax returns. What is the probability that someone does not have this belief?
Answer:0.19
Step-by-step explanation: