Answer:
369 cm^3
Step-by-step explanation:
you just multiply all the numbers together
Answer:
369 cm³.
Step-by-step explanation:
Volume of a rectangular prism is just length × width × height. So:
2.25 × 8 = 18
18 × 20.5 = 369
So, the volume is 369 cm³.
You are watching an airplane fly in the distance.The airplane is traveling at altitude of 8 kilometers How far is the airplane from your location?
question:
A sequence is defined by the recursive function f(n + 1) = –10f(n).
If f(1) = 1, what is f(3)?
3
–30
100
–1,000
the answer is 100
Answer:
100
Step-by-step explanation:
f(1) = 1
f(2) = -10×f(1) = -10 × 1 = -10
f(3) = -10×f(2) = -10 × -10 × f(1) = -10 × -10 × 1 = 100
f(n) = -10 to the power of n-1
Answer:
c - 100
Step-by-step explanation:
Use the normal distribution and the given sample results to complete the test of the given hypotheses. Assume the results come from a random sample and use a 5% significance level.
Test H0 : p=0.2 vs Ha : p≠0.2 using the sample results p^=0.27 with n=1003
Round your answer for the test statistic to two decimal places, and your answer for the p-value to three decimal places.
Answer:
The value of teh test statistic is [tex]z = 5.54[/tex]
The p-value of the test is 0 < 0.05, which means that there is significant evidence to conclude that the proportion differs from 0.2.
Step-by-step explanation:
The test statistic is:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.
0.2 is tested at the null hypothesis:
This means that [tex]\mu = 0.2, \sigma = \sqrt{0.2*0.8} = 0.4[/tex]
Using the sample results p^=0.27 with n=1003
This means that [tex]X = 0.27, n = 1003[/tex]
Value of the test statistic:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
[tex]z = \frac{0.27 - 0.2}{\frac{0.4}{\sqrt{1003}}}[/tex]
[tex]z = 5.54[/tex]
P-value of the test and decision:
The p-value of the test is the probability that the sample proportion differs from 0.2 by at least 0.07, which is P(|z| > 5.54), that is, 2 multiplied by the p-value of z = -5.54.
Looking at the z-table, z = -5.54 has a p-value of 0.
2*0 = 0.
The p-value of the test is 0 < 0.05, which means that there is significant evidence to conclude that the proportion differs from 0.2.
solve for the solution of each linear equation.
1. 3x+1=4
2. 7x-6=0
3. 4x-5=19
4. 9x+6=8
5. 8x-7=15
Answer:
no.1 answer 0
Step-by-step explanation:
3x + 1= 4
or; 3x = 4 - 1
or; x = 3 ÷ 3
x = 0
it is estimated that 50% of emails are spam emails. Some software has been applied to filter these spam emails before they reach your inbox. A certain brand of software claims that it can detect 99% of spam emails and the probability for a flase positive is 5%. What is the probability that an email is detected as spam
Answer:
0.52 = 52% probability that an email is detected as spam.
Step-by-step explanation:
Probability that an email is detected as spam:
99% of 50%(are spam).
5% of 100 - 50 = 50%(false positives, that is, e-mails that are not spam but are detected as spams).
What is the probability that an email is detected as spam?
[tex]p = 0.99*0.5 + 0.05*0.5 = 0.52[/tex]
0.52 = 52% probability that an email is detected as spam.
Use the expression 9(7 + 2x) to answer the following:
Part A: Describe the two factors in this expression. (4 points)
Part B: How many terms are in each factor of this expression? (4 points)
Part C: What is the coefficient of the variable term? (2 points)
Step-by-step explanation:
Part A:
The two factors in 9(7+2x) are 9 and 7+2x
Part B:
First term: 9
Second term: 7+2x
Part C:
9(7+2x)
Open bracket
63+18x
The coefficient is 18x
A. The two factors are 9 and (7+2x).
B. In first factor, only one term and in second factor , two terms i.e. 7 and 2x are present.
C. The coefficient of the variable term is 18.
Algebraic expression:Given expression is;
[tex]9(7+2x)[/tex]
In given expression, there are two factors fist is 9 and second one is [tex](7+2x)[/tex]
In first factor, only one term and in second factor , two terms i.e. 7 and 2x are present.
To find the coefficient of variable term, we have to to expand given expression.
[tex]9(7+2x)=63+18x[/tex]
The coefficient of the variable term is 18.
Learn more about the algebraic expression:
https://brainly.com/question/4344214
Write an equation
that represents the line.
Answer:
the eq of given line is 2x+y+3=0
Round 10,998 to nearest ten
Answer:
11,000
Step-by-step explanation:
why no one helping me please help please please please please please
Answer:
a) A
b) C and E
c) C, D and F
d) two
e) Equal
A square has an area of 25 yd^2. What is the length of each side?
Answer:
5 yd
Step-by-step explanation:
Formula to find area of a square is a² where each side is a,
So, a²=25
or, a=√25
or, a=±5
since a side can't be negative, so a = 5 yd
Answered by GAUTHMATH
Read the following scenario, and then answer the question.
Juan assumes that the temperature of the hot tea cooling on his desk can be modeled with an exponential function like this one: T(t)=179(0.92)t. He bases his assumption on the following: The tea cools about 8% every minute. The tea's current temperature is around 179 degrees Fahrenheit.
Which explanation correctly addresses Juan's assumption?
He is incorrect. The tea will cool linearly since it cools at the same number of degrees every minute.
He is correct. The tea will cool exponentially since it cools at a percentage rate every minute.
He is incorrect. The tea will cool along the curve of a parabola since it cools at an increasing percentage rate every minute.
9514 1404 393
Answer:
(b) He is correct. The tea will cool exponentially since it cools at a percentage rate every minute.
Step-by-step explanation:
Newton's Law of Cooling says the change in temperature is proportional to the temperature. This relation gives rise to an exponential function describing the temperature.
In this description, the temperature referred to is the difference between the temperature of the object and the temperature of the environment to/from which heat is being transferred.
Juan is only partially correct. The function is exponential, but the temperature that should be used in his equation is not the temperature of the tea, but the temperature difference between the tea and his desk.
__
The curve is not linear and not parabolic, excluding the other answer choices.
The control department of a light bulb manufacturer randomly picks light bulbs from the production lot every week. The records show that, when there is no malfunction, the defect rate in the manufacturing process (due to imperfections in the material used) is . When or more of the light bulbs in the sample of are defective, the control unit calls repair technicians for service.
Required:
a. Find the mean of p, where p is the proportion of defective light bulbs in a sample of 4400 when there is no malfunction.
b. Find the standard deviation of p.
Answer:
The answer is a
Step-by-step explanation:
What is the sum of the 14th square number and the 3rd square number?
Answer:23
Step-by-step explanation:
find integer pairs for -18?
Answer:
Step-by-step explanation:
Factor pairs:
1, 18
2, 9
3, 6
Which ordered pair (a, b) is the solution to the given system of linear equations? 3a+b= 10 -4a-2b=2
(1,7)
(3, 1)
(11, -23)
(23, -11)
Hello,
answer C (11,-23)
[tex]\left\{\begin{array}{ccc}3a+b&=&10\\-4a-2b&=&2\end{array}\right.\\\\\\\left\{\begin{array}{ccc}6a+2b&=&20\\-4a-2b&=&2\end{array}\right.\\\\\\\left\{\begin{array}{ccc}3a+b&=&10\\2a&=&22\end{array}\right.\\\\\\\left\{\begin{array}{ccc}a&=&11\\b&=&10-3*11\end{array}\right.\\\\\\\left\{\begin{array}{ccc}a&=&11\\b&=&-21\end{array}\right.\\[/tex]
Answer: C. (11,-23)
Step-by-step explanation:
Complete the steps to solve the equation. 3x - 6(5x + 3) = 9x + 6 1. The distributive property 3x - 30x 18 = gr + 6 2 Combine like terms. -27x - 18 = 9x + 6 3. Addition property of equality: -18 = 36x + 6 4. Subtraction property of equality: -24 = 36x 5. Division property of equality I
Answer:
see below
Step-by-step explanation:
3x - 6(5x + 3) = 9x + 6
Distribute
3x -30x-18 = 9x+6
Combine like terms
-27x - 18 = 9x+6
Add 27x to each side
-27x+27x-18 = 9x+27x+6
-18 = 36x+6
Subtract 6 from each side
-18-6 = 36x+6-6
-24 = 36x
Divide by 36
-24/36 = 36x/36
Simplify
-2/3 = x
Answer:
[tex]\small \sf x = \frac{2}{-3} \\ [/tex]
Step-by-step explanation:
3x - 6(5x + 3) = 9x + 6.
Use the distributive property to multiply -6 by 5x + 3.
3x - 30x - 18 = 9x + 6
Combine 3x and -30x to get -27x.
-27x - 18 = 9x + 6
Subtract 9x from both sides.
-27x - 9x - 18 = 9x - 9x + 6
-36x - 18 = 6
Add 18 to both sides.
-36x - 18 + 18 = 6 + 18
-36x = 24
Divide both sides by -36.
[tex]\small \sf \frac{ -36x}{ -36} = \frac{24}{-36} \\ [/tex]
Reduce the fraction [tex]\frac{24}{-36} [/tex] to lowest terms by extracting and canceling out 12.
[tex]\small \sf x = \frac{2}{-3} \\ [/tex]
A radioactive substance decays exponentially: The mass at time t is m(t) = m(0)e^kt, where m(0) is the initial mass and k is a negative constant. The mean life M of an atom in the substance is
[infinity]
M = âk â« te^kt dt.
0
For the radioactive carbon isotope, 14C, used in radiocarbon dating, the value of k is -0.000121. Find the mean life of a 14C atom.
Answer:
mean life = 8264.5 s
Step-by-step explanation:
k = - 0.000121
The relation is given by
[tex]m = mo e^{kt}[/tex]
Now, the mean life is the life time for which the sample retains.
The mean life is the reciprocal of the decay constant.
The relation between the mean life and the decay constant is
[tex]\tau =\frac{1}{k}\\\\\tau = \frac{1}{0.000121} = 8264.5 seconds[/tex]
A movie theater has a seating capacity of 283. The theater charges $5.00 for children, $7.00 for students, and $12.00 of adults. There are half as many adults as there are children. If the total ticket sales was $ 2060 on a sold out night, how many children, students, and adults attended
Answer: adults = 79
children = 158
student = 46
Step-by-step explanation:
Let a = adults
Let c = children
Let s = student
From the information given,
a + c + s = 283 ....... i
c/a = 2, c = 2a ....... ii
5c + 7s + 12a = 2060 ...... iii
Put the value of c = 2a into equation i
a + c + s = 283
a + 2a + s = 283
3a + s = 283
s = 283 - 3a
Note that c = 2a
From equation iii
5c + 7s + 12a = 2060
5(2a) + 7(283 - 3a) + 12a = 2060
10a + 1981 - 21a + 12a = 2060
10a + 12a - 21a = 2060 - 1981
a = 79
Note c = 2a
c = 2 × 79 = 158
Since a + c + s = 283
79 + 158 + s = 283
s = 283 - 237
s = 46
adults = 79
children = 158
student = 46
(2x4−7x3−6x2+23x−12)÷(x−4)
Answer:
[tex]\frac{23x-37}{x-4}[/tex]
Step-by-step explanation:
Find the graph of the solution set of the following system of linear inequalities
Answer:
the graph looks like this:-
Step-by-step explanation:
for inequality 1
if we take x = 0 we get y = -4
and if we take y =0 we get x = 16
so we get 2 points (0, -4) and (16, 0) and the graph must pass thru these two.
now checking if the origin satisfies the inequality or not
take x and y = 0
0 + 0 is not greater than or equal to -16
so origin doesn't satisfy the inequality.
shade the graph on the side, of the line, opposite to where the origin is.
for inequality 2
if we take x = 0 we get y = 2
and if we take y =0 we get x = -⅔
so we get 2 points (0, 2) and (-⅔, 0) and the graph must pass thru these two.
the line should be a dotted line.
now checking if the origin satisfies the inequality or not
take x and y = 0
0 + 0 is less than 2
so origin satisfies the inequality.
shade the graph on that side of the line where the origin is.
[ red line shows graph 1 whereas the blue dotted line represents graph ]
A canning factory turns out 568 tins of jam on a certain day. How many tins will be produced in 297 working days?
Movie Selections The Foreign Language Club is showing a three-movie marathon of subtitled movies. How many ways can they
choose 3 from the 17 available?
Answer:
Step-by-step explanation:
This is a beginning counting problem, or is it?
If order matters then the answer is
17P3 = 17! / (14!) = 17 * 16 * 15 = 4080
However if it does not matter then
17C3 = 17!/(3! * 14!)
680
i need helpp pleaseee
Suppose that the middle 95% of average scores in the NBA per player per game fall between 8.18 and 31.34. Give an approximate estimate of the standard deviation of the number of the points scored. Assume the points scored has a normal distribution.
Answer:
An approximate estimate of the standard deviation of the number of the points scored per game is of 5.79.
Step-by-step explanation:
The Empirical Rule 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.
Suppose that the middle 95% of average scores in the NBA per player per game fall between 8.18 and 31.34.
This means that there is 4 standard deviations within this interval. So
[tex]4s = 31.34 - 8.18[/tex]
[tex]4s = 23.16[/tex]
[tex]s = \frac{23.16}{4}[/tex]
[tex]s = 5.79[/tex]
An approximate estimate of the standard deviation of the number of the points scored per game is of 5.79.
Each of the 8 cats in a pet store was weighed. Here are their weights (in pounds): 6,6, 10, 6, 8, 7, 14, 12 Find the median and mean weights of these cats. If necessary, round your answers to the nearest tenth. Median: pounds Х X ? Mean: pounds
Answer:
Median: 7.5
Mean: 8.6
Step-by-step explanation:
Median = the average of the 2 middle numbers of the set in ascending order, 6, 6, 6, 7, 8, 10, 12, 14
(7+8)/2 = 2
Mean = the sum of the numbers divided by the number of values
6 + 6+ 6+ 7 +8 +10 +12 +14/8
69/8
8.625
Help me with moth of these questions please
Answer:
10. CD + DE = CE
11. BC + CE = BE
Step-by-step explanation:
10. CD and DE lie on a straight line, therefore, CD + DE = CE based on the segment addition postulate.
11. BC and CE lie on a straight line, therefore, BC + CE = BE based on the segment addition postulate.
What is the amount f rainfall that Miami receives, round to the nearest half or whole? 55 9/10"
Answer:
56"
Step-by-step explanation:
Please help I’m really stuck this is my last attempt
What is the mode for the set of data?
Ages
Stem Leaves
5 0, 4, 6
6 0, 2, 3, 4, 8, 8, 9
7 0, 2, 3, 4, 4, 4, 8, 9
8 4, 5, 6, 8
5|0 = 50 years old
33
68
4
74
Answer:
I THINK IT IS 74 NOT 4
I HOPE THIS HELPS!!!!!
Find m angle JRQ if m angle SRQ=166^ and m angle SRJ=110^
Answer:
[tex] \large{ \tt{❃ \: S \: O \: L \: U \: T \: I \: O \: N : }}[/tex]
[tex] \large{ \tt{❉ \: m \: \angle \:SRQ = m \: \angle \: SRJ\: + \: m \: \angle \:JRQ}}[/tex]
[tex] \large{ \tt{⟼ \: 166 \degree = 110 \degree + m \: \angle \: JRQ}}[/tex]
[tex] \large{ \tt{⟼ \: 166 \degree - 110 \degree = m \: \angle \: JRQ}}[/tex]
[tex] \boxed{ \large{ \tt{⟼ \: 56 \degree = m \: \angle \: JRQ}}}[/tex]
Our final answer is 56° . Hope I helped! Let me know if you have any questions regarding my answer! :)A number is selected at
random from each of the sets
£2,3,4} and {1, 3, 5}. Find the
Probability that the sum of the two numbers is greater than 3 but less than 7?
Answer:
0.4444 = 44.44% probability that the sum of the two numbers is greater than 3 but less than 7.
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
A number is selected at random from each of the sets {2,3,4} and {1, 3, 5}.
The possible values for the sum are:
2 + 1 = 3
2 + 3 = 5
2 + 5 = 7
3 + 1 = 4
3 + 3 = 6
3 + 5 = 8
4 + 1 = 5
4 + 3 = 7
4 + 5 = 9
Find the probability that the sum of the two numbers is greater than 3 but less than 7?
4 of the 9 sums are greater than 3 but less than 7. So
[tex]p = \frac{4}{9} = 0.4444[/tex]
0.4444 = 44.44% probability that the sum of the two numbers is greater than 3 but less than 7.