Answer:
6.14 minutes or 6 minutes & 8.4 seconds
Step-by-step explanation:
Initial elevation: 453 ft
Final elevation: 146 ft
Difference in elevation: 453 ft - 146 ft = 307 ft
speed = 50 ft/min
speed = distance/time
time * speed = distance
time = distance/speed
time = (307 ft)/(50 ft/min)
time = 6.14 minutes = 6 minutes + 0.14 * 60 seconds
time = 6.14 minutes = 6 minutes + 8.4 seconds
Question #7
Jerry is creating a comer shelf for his house. Examine his sketch below.
8.5 in.
8.5 in.
Enter the area of the corner shelf, in square inches. Round your answer to the
nearest tenth.
Answer:
The area is 56.7 square inches
Step-by-step explanation:
Given
See attachment for corner shelf
Required
The area
The corner shelf is a quadrant with radius;
[tex]r = 8.5in[/tex]
The area of a quadrant is:
[tex]Area = \frac{\pi r^2}{4}[/tex]
So, the area of the corner shelf is:
[tex]Area = \frac{\pi * 8.5^2}{4}[/tex]
[tex]Area = \frac{\pi * 72.25}{4}[/tex]
[tex]Area = \pi * 18.0625[/tex]
Take [tex]\pi[/tex] as 3.14
[tex]Area = 3.14 * 18.0625[/tex]
[tex]Area = 56.7[/tex] -- approximated
In the figure, side AB is given by the expression 1 + 3, and side BC is 21 – 4.
The simplified expression for the area of rectangle ABCD is
Answer:
[tex]\text{Area}=\frac{15(x+1)}{2(x-2)}[/tex]
Step-by-step explanation:
Length of the rectangle given in the picture = [tex]\frac{5x+5}{x+3}[/tex]
Width of the rectangle = [tex]\frac{3x+9}{2x-4}[/tex]
Area of the rectangle = Length × Width
= [tex]\frac{5x+5}{x+3}\times \frac{3x+9}{2x-4}[/tex]
= [tex]\frac{5(x+1)}{x+3}\times \frac{3(x+3)}{2(x-2)}[/tex]
= [tex]\frac{15(x+1)(x+3)}{2(x+3)(x-2)}[/tex]
= [tex]\frac{15(x+1)}{2(x-2)}[/tex]
Therefore, area of the given rectangle is [tex]\frac{15(x+1)}{2(x-2)}[/tex].
A nutritionist wants to estimate the average caloric content of the burritos at a popular restaurant. They obtain a random sample of 16 burritos and measure their caloric content. The sample mean and sample standard deviation of measured caloric contents of the 16 burritos are 700 calories and 50 calories, respectively. Suppose the caloric content of burritos is normally distributed. Based on the sample, which of the following is a 95% upper confidence bound for the mean caloric content of these burritos?
A. μ≤700+ t 0.05, 15x50/4
B. μ≤700+ t 0.025, 16x50/4
C. μ≤700+ t 0.025, 15x50/4
D. μ≤700+ z 0.05 x50/4
Answer:
[tex]\mu \leq 700 + t_{(0.025,15)}\frac{50}{4}[/tex], option c
Step-by-step explanation:
We have the standard deviation for the sample, which means that the t-distribution is used 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 = 16 - 1 = 15
95% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 15 degrees of freedom(y-axis) and an [tex]\alpha[/tex] level of [tex]\frac{1 - 0.95}{2} = 0.025[/tex], thus, we have [tex]t_{(0.025,15)}[/tex]
The margin of error is of:
[tex]M = t_{(0.025,15)}\frac{s}{\sqrt{n}}[/tex]
In which s is the standard deviation of the sample and n is the size of the sample. For this question, we have [tex]s = 50,n = 16[/tex]. So
[tex]M = t_{(0.025,15)}\frac{s}{\sqrt{n}}[/tex]
[tex]M = t_{(0.025,15)}\frac{50}{\sqrt{16}}[/tex]
[tex]M = t_{(0.025,15)}\frac{50}{4}[/tex]
Upper bound:
The upper bound is less than the sample mean of 700 added to the margin of error of M. Thus
[tex]\mu \leq 700 + t_{(0.025,15)}\frac{50}{4}[/tex]
And the correct answer is given by option c.
One half of 4
Plz help I need help
If a statue made from 1000 cm^3 of bronze has a mass of 8.7kg. what is the mass of a statue made from 4500cm^3 of bronze?
Answer:
screenshot
Step-by-step explanation:
MRK ME BRAINLIEST PLZZZZZZZZZZZ
A Carpenter was told to make
a rectangular desk with top
dimension of 50cm by40cm.
The Carperter altually made
the desk 60cm by 35cm.
Callulate the percentage
error in (a) the length and
b) the breath (1) the product
of the two enors (2) area of
the table top.
Answer:
a. Percent error = 12.5%
b. Percent error = 20%
c. Product = 250
d. Area of rectangle = 200 cm²
Step-by-step explanation:
Given the following data;
Actual length = 40cm
Experimental length = 35cm
Actual breadth = 50cm
Experimental breadth = 60cm
To find the following values;
a. Percentage error in length;
Percent error can be defined as a measure of the extent to which an experimental value differs from the theoretical value.
Mathematically, it is given by this expression;
[tex] Percent \; error = \frac {experimental \;value - actual \; value}{ actual \;value} *100[/tex]
Substituting into the formula, we have;
[tex] Percent \; error = \frac {35 - 40}{40} *100[/tex]
[tex] Percent \; error = \frac {5}{40} *100[/tex]
[tex] Percent \; error = 0.125 *100[/tex]
Percent error = 12.5%
b. Percentage error in breadth;
[tex] Percent \; error = \frac {60 - 50}{50} *100[/tex]
[tex] Percent \; error = \frac {10}{50} *100[/tex]
[tex] Percent \; error = 0.2 *100[/tex]
Percent error = 20%
c. Product of the error;
Product = 12.5 * 20
Product = 250
d. Area of the table top;
Dimensions = 50 * 40 cm
Area of rectangle = length * breadth
Area of rectangle = 40 * 50
Area of rectangle = 200 cm²
Which equation represents the following table?
Answer:
y = 2x+4
Step-by-step explanation:
When we substitute the value of x in y =2x+4. The output of function is exactly like in the table shown.
x = 1 —> y = 2(1)+4 = 6
x = 3 —> y = 2(3)+4 = 10
x = 5 —> y = 2(5)+4 = 14
x = 7 —> y = 2(7)+4 = 18
x = 9 —> y = 2(9)+4 = 22
Since the output is exactly like in the table. Therefore, y = 2x+4 represents the following table.
Angel signed up for a streaming music service that costs $11 per month. The service allows Angel to listen to unlimited music, but if he wants to download songs for offline listening, the service charges $0.50 per song. How much total money would Angel have to pay in a month in which he downloaded 25 songs? How much would he have to pay if he downloaded ss songs?
Answer: $23.5
Step-by-step explanation:
0.5(x) + 11
0.5(25) + 11
$23.5
The lengths of text messages are normally distributed with a population standard deviation of 4 characters and an unknown population mean. If a random sample of 26 text messages is taken and results in a sample mean of 28 characters, find a 98% confidence interval for the population mean. Round your answers to two decimal places. z0.10 z0.05 z0.04 z0.025 z0.01 z0.005 1.282 1.645 1.751 1.960 2.326 2.576
Answer:
The answer is "[tex](25.32, 30.68)[/tex]"
Step-by-step explanation:
Given:
[tex]\bar x = 28\\\\ \sigma = 4\\\\n =26\\\\[/tex]
When [tex]98\%[/tex] confidence level so, the z:
[tex]\alpha = 1 - 98\% = 1 - 0.98 = 0.2\\\\\frac{\alpha}{2} =\frac{0.02}{2} = 0.01\\\\Z_{\frac{\alpha}{2}} = Z_{0.01} = 1.645\ \ \ ( Using \ z \ table )\\\\[/tex]
[tex]E = Z_{\frac{\alpha}{2} \times ( \frac{\sigma}{\sqrt{n}})[/tex]
[tex]= 1.645 \times (\frac{4}{\sqrt{26}})\\\\=2.68[/tex]
When 98% confidence interval estimate of the population mean is,
[tex]\bar x - E < \mu < \bar x + E\\\\28 - 2.68 < \mu < 28 + 2.68\\\\25.32 < \mu < 30.68\\\\(25.32, 30.68)\\\\[/tex]
if 10 bags of ice cost $12, how much does 1 bag cost
Answer:
1.20
Step-by-step explanation:
[tex] 12 \div 10 = 1.20[/tex]
dele took 25 minutes to walk to school and he arrived at exactly 8:00am, at what time did he leave his home
Answer:
Dele ;left home at exactly 7:35
Step-by-step explanation:
hope this helps
Write in standard form: 30,000.000 + 40,000 + 6,000 + 20 + 2
Answer:
[tex]3.0046022*10^{7} \\[/tex]
Step-by-step explanation:
30,046,022 = [tex]3.0046022*10^{7} \\[/tex]
Neesha uploaded a funny video of her dog onto a website. The relationship between the elapsed
time, d, in days, since the video was first uploaded, and the total number of views V (d), that the
video received is modeled by the function V (d) = 31.5d.
How many views will the video receive after 5 days? Round your answer to the nearest whole
number.
Answer:
the answer is 2
Step-by-step explanation:
what is 3/4 of 4/5=
Answer:
answer: 15/16 Hope this helps!
Find the solutions to x² = 20.
Answer:
x = 4.47 or 2√5
Step-by-step explanation:
x² = 20
x = √20 = 4.47 or 2√5
Answer:
x = 2√5 or 4.472135955
Which of the following is not true Categorical data are also referred to as nominal or qualitative data. Numerical data can be either discrete or continuous. Categorical data have values that are described by words rather than numbers. All listed statements are true The number of checks processed at a bank in a day is categorical data.
Answer:
The number of checks processed at a bank in a day is categorical data.
Step-by-step explanation:
In Mathematics, a categorical data can be defined as a statistical data type that is used to group informations having the same attributes or characteristics. Some examples of a categorical data are age, gender, race, religion etc.
A numerical data can be defined as a data set that is expressed in numbers only or a data set consisting of numbers rather than words. A numerical data is also known as a quantitative data.
Basically, numerical data are classified into two (2) main categories and these are;
1. Discrete data: a discrete data is a data set in which the number of possible values are either finite or countable. For instance, the value of a fair die, number of sweets in a jar, number of eggs in a crate etc.
2. Continuous data: a continuous data is a data set having infinitely many possible values and those values cannot be counted, meaning they are uncountable. Any quantity such as height, volume, weight, density, length, pressure, temperature, speed, distance, time are generally a continuous data.
Hence, the number of checks processed at a bank in a day is discrete data.
Choose 1 answer
A 4/9 of 3/4
B 4/12 of 5/12
C 1/3 of 9/12
A swimming pool is in the shape of this prism. A cubic foot of water is about 7.5 gallons. How many gallons of water can the pool hold? If a pump is able to pump water into the pool at a rate of 15 gallons per minute, how long will it take to fill the pool?
Answer:
48,000
Step-by-step explanation:
SOLUTION: Each cubic foot holds 7.5 gallons of water. So, the amount of water required to fill the pool is 6400(7.5) = 48,000.
Which functions graph has a period of 8 and reaches a maximum height of 1 if at least one full period is graphed
Answer: y= -4cos (pi/4x)-3
Step-by-step explanation:
The functions graph that has a period of 8 and reaches a maximum height of 1 if at least one full period is graphed is; y = -4cos(¹/₄πx) - 3
What is the equation of the graph?
The general equation of this is;
y = A cos bx
We are told that the period of the graph is 8
We know that 2π/b = period
Thus;
2π/b = 8
b = ¹/₄π
We are told that the maximum height is 1 if at least one full period is graphed. Thus, amplitude = 4
Thus the required equation is y = -4cos(¹/₄πx) - 3
Read more about period of graph at; https://brainly.com/question/10700288
HELP!
Will give branliest!
Answer:
Try 1/6, if not then search up Fraction Calculator it should be Calculator.net
Click on the measure of angle s.
38°
) 152
142
38
52
Answer:
here,
38+X=180 (being straight line)
or,X=180-38
therefore, X=142 ans,,,
Is this right? If not, what is it? PLEASE
Answer:
It is correct.
Step-by-step explanation:
i don’t know if it’s B or C what do you guys think?
Answer:
I think it is D.
Step-by-step explanation:
It is a guess, but I am not fully sure.
If correct, may I have a brainliest?
XxRoadToAcexX
Answer:
D) 17.51
Step-by-step explanation:
D) 17.51
[15 points !] What is the factored form of x²y3 – 2y3 – 2x2 + 4?
Answer:
D
Step-by-step explanation:
Have a Nice Day
Answer:
(x^2 - 2)(y^3 - 2)
Step-by-step explanation:
I got it right on Iready
x and y are two integers and x ≠ 0. Which of the following is not a rational number? a) z b) y c)x/y d) y/x
Answer: Choice A) z
==========================================================
Explanation:
x and y are two integers, with x being nonzero
This means x/y is rational as long as y is nonzero as well. If y = 0, then we have a division by zero error. Try something like 1/0 on your calculator and you'll find it doesn't work.
Similarly, y/x is rational as well. Any rational number is simply dividing two integers as a fraction like this. Other examples include stuff like 1/2, 4/5, 8/17, and so on.
Since y is an integer, this means we can write it like this: y = y/1. This shows any integer is also rational, but not the other way around. A fraction like 2/3 is rational but not an integer.
All of what was discussed above indicates that choices B, C and D can be ruled out. The only thing left is choice A. The variable z isn't defined, so it's not clear what it is exactly. But it's likely the answer as it's the only thing left after the eliminations.
Solve the triangle. Round decimal answers to the nearest tenth.
Answer:
51
Step-by-step explanation:
10. Jackie
pupp
How
dog v
7. Juan is baking muffins for the school
bake sale. He needs 1 cups of flour to
make a batch of blueberry muffins. He
needs 2 cups of flour to make a batch
of banana muffins. How much flour
does Juan need to make both batches
of muffins?
A 4.cups
a pup
A4
B 47
с
4
B 4
cups
D 13
3 cups
34 cups
D
11. Ariana
park.
Answer:
your answer choices don't make sense
What is the slope of the line connecting the points (2, 1) and (4, 5)?
Answer:
2
use y2 - y1 / x2 - x1
5 - 1 / 4 - 2 = 4/2 = 2
Answer:
[tex]2[/tex]
Step-by-step explanation:
1. Find the difference between the two y values. 5 − 1 = 4
This is usually called the "rise" of the line.
2. Find the difference between the two x values. 4 − 2 = 2
This is usually called the "run" of the line.
3. Divide the rise buy the run: [tex]\frac{rise}{run} = slope \frac{4}{2} = 2[/tex]
ILL GIVE BRAINLIEST
YOUR FRIEND JUST OPENED THEIR FIRST CREDIT CARD WHAT ADVICE WOULD YOU GIVE THEM BEFORE THEY START MAKING PURCHASES?
Answer:
I would tell them to buy a ps5 for me
Step-by-step explanation:
For a credit card be careful with what you buy, save it for the important stuff. Also make sure to constantly check your credit score and to check your purchases to make sure that only what you purchased is on there.
1. Based on the information given, what is the Worthington Family's net worth? Will they qualify for the loan?
1
Net worth:
Will they qualify for the loan? (yes or no)
Question Completion:
The Worthington family has liquid assets of $10,000, use assets of $150,000 and investment assets of $34,000. They also have liabilities totaling $108,000. They need a loan from the bank and to qualify for the loan, they must have a net worth of $100,000. They will incur additional $7,000 in liabilities.
Answer:
1. The Worthington Family's net worth is:
= $79,000.
2. No. They will not qualify for the loan, as their net worth fell short of the requirement by $21,000.
Step-by-step explanation:
a) Data and Calculations:
Worthington Family's net worth:
Liquid assets = $10,000
Use assets = 150,000
Investment assets = 34,000
Total assets = $194,000
Liabilities = 115,000
Net worth = $79,000
Required net worth = $100,000
Shortfall in net worth = $21,000
b) The Worthington Family's net worth is the difference between their assets (the things that they own) and their liabilities (the things that they owe others). It is an important financial metric for calibrating the family's financial health. Computing it provides a useful snapshot of the family's current financial position. Financial institutions and other potential creditors use it to gauge if they might extend some credit facilities to the Worthington family.