Express the area of the entire rectangle. Your answer should be a polynomial in standard form
First,
Length of Rectangle = (x + 9) units
Breadth of Rectangle = (x + 3) units
so,
Area = (x + 9) * (x + 3)
= x² + 9x + 3x + 27
= (x² + 12x + 27) units
Suppose that a recent article stated that the mean time spent in jail by a first-time convicted burglar is 2.5 years. A study was then done to see if the mean time has increased in the new century. A random sample of 26 first-time convicted burglars in a recent year was picked. The mean length of time in jail from the survey was three years with a standard deviation of 1.8 years. Suppose that it is somehow known that the population standard deviation is 1.5 years. Conduct a hypothesis test at a 5% significance level to determine if the mean length of jail time has increased. Assume the distribution of the jail times is approximately normal.
Using the z-distribution, it is found that since the test statistic is greater than the critical value, it can be concluded that the mean length of jail time has increased.
At the null hypothesis, it is tested if the mean length of jail time is still of 2.5 years, that is:
[tex]H_0: \mu = 2.5[/tex]
At the alternative hypothesis, it is tested if it has increased, that is:
[tex]H_1: \mu > 2.5[/tex]
We have the standard deviation for the population, thus, the z-distribution is used. The test statistic is given by:
[tex]z = \frac{\overline{x} - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
The parameters are:
[tex]\overline{x}[/tex] is the sample mean. [tex]\mu[/tex] is the value tested at the null hypothesis. [tex]\sigma[/tex] is the standard deviation of the sample. n is the sample size.For this problem, the values of the parameters are: [tex]\overline{x} = 3, \mu = 2.5, \sigma = 1.5, n = 26[/tex]
Hence, the value of the test statistic is:
[tex]z = \frac{\overline{x} - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
[tex]z = \frac{3 - 2.5}{\frac{1.5}{\sqrt{26}}}[/tex]
[tex]z = 1.7[/tex]
The critical value for a right-tailed test, as we are testing if the mean is greater than a value, with a significance level of 0.05, is of [tex]z^{\ast} = 1.645[/tex]
Since the test statistic is greater than the critical value, it can be concluded that the mean length of jail time has increased.
A similar problem is given at https://brainly.com/question/24166849
4) Find the slope of the following
graph.
у
-2
o
B
Answer:
-6/13
Step-by-step explanation:
Can someone explain letter c?! From where did 13 come from there’s no 13 in the question..
Answer:
Seems correct to me. I color coded the various terms.
Step-by-step explanation:
[13x³ came by adding 9x³ and 4x³]
12x²+8x-5x+9x³+2x²+4x³(9x³+4x³)+(12x²+2x²)+(8x-5x)13x³+14x²+3xSally bought 7.8 pounds of fruit for a class party. The class ate 7 pounds of the fruit. How much fruit is left?
Answer:
0.8 pounds
Step-by-step explanation:
7.8 - 7 is 0.8
The interval (-1, 1) is best described as
Answer: There's an increasing interval between -1 and 1
While x goes from -1 to 1, the value of y increases (from -2 to 2).
What’s the answer to -4/4+160%+1/5=
Answer:
I think it is 1 4/159
Step-by-step explanation:
There are only red sweets and yellow sweets in a bag.
There are n red sweets in the bag.
There are 8 yellow sweets in the bag.
Sajid is going to take at random a sweet from the bag and eat it.
7
He says that the probability that the sweet will be red is
10
7
10
(a) Show why the probability cannot be
Using the probability concept, it is found that since the number of red sweets would be a decimal number, the probability cannot be [tex]\frac{7}{10}[/tex]
A probability is the number of desired outcomes divided by the number of total outcomes.
In this problem:
In total, there are 8 + n sweets in the bag.Of those, n are red.The probability of red is:
[tex]p = \frac{n}{n + 8}[/tex]
Supposing [tex]p = \frac{7}{10}[/tex], we solve for n:
[tex]\frac{n}{n + 8} = \frac{7}{10}[/tex]
[tex]10n = 7n + 56[/tex]
[tex]3n = 56[/tex]
[tex]n = \frac{56}{3}[/tex]
[tex]n = 18.67[/tex]
Since the number of red sweets would be a decimal number, the probability cannot be [tex]\frac{7}{10}[/tex]
A similar problem is given at https://brainly.com/question/15536019
Help me pls i need help
Answer:
I'm pretty sure it is LINEAR.
I may be wrong
Step-by-step explanation:
BRAINLIEST?
Answer:
linear
Step-by-step explanation:
the inputs are not the same.
im not exactly sure, but im taking this lesson and thats what i learned :)
- Andy wants to rent a one-bedroom apartment in Green Acres. The apartment has a monthly rent of
$1,425. He must pay a $150 application fee, a security deposit that is equal to one month's rent and must
also
pay the last month's rent. His broker charges 5% of the yearly rent. How much is he expected to pay
up front in order to rent this apartment?
Answer:
$161.88
Step-by-step explanation:
1, 425 * 0.05 = 71.25 = yearly
71.25 / 12 = 5.94 = monthly
5.94 * 2 = 11.88 = for two months
11.88 + 150 = 161.88 = the amount he is expected to pay
Tell me if I'm wrong :)
is 1/4 bigger than 3/5
Answer:
No.
Step-by-step explanation:
If you plug both fractions into a calculator, you will get:
1/4 = 0.25
3/5 = 0.60
Since 25 is less than 60, 1/4 is not greater than 3/5.
What type of angle is 90 degrees
Answer:
Obtuse or right angle
Step-by-step explanation:
Also you should stop making your question worth so many points
What is the sum????????
sum is the process of adding two numbers.
I hate math sm I can’t understand any of this even though its probably so simply
Jayden’s rectangular garden is 5 3/4 feet long and 4 1/2 feet wide. What is the area, in square feet, of the garden
Answer:
The area is 25.875 square feet. Or it can be written as [tex]25\frac{7}{8}[/tex]
Step-by-step explanation:
You would simply multiply them by each other. 5 3/4 is aso 5.75. And 4 1/2 is also 4.5. So simply multiply 5.75 by 4.5
5.75*4.5 to get 25.875
What is the measure of ZPRQ?
P
O
A. 172°
1020
B. 70°
70"
s
C. 86°
D. 1020
Answer: should be 86°, not sure.
Step-by-step explanation:
BRAINLIEST TO WHOEVER CAN ANSWER!!!!!
Students at Taft Middle School have a goal of collecting 1,000 pounds of recycling materials each month. The following table shows their results over a 6 month time period. Complete the table.
Answer:
February: +10
March: -5
April: +50
May: -25
June: -20
Step-by-step explanation:
Subtract each value in column 2 by 1000. A positive number means exceeding the monthly goal of 1000 pounds, a negative number means not achieving the goal.
A chessboard has 8 rows of squares with 8 squares in each row . Two players each put 16 chess pieces on the board , with each piece on its own square. How many squares are empty now? Explain your answer.
Answer:
40
Step-by-step explanation:
8x8 if 56 - 16 = 40
Which of the following is equal to this expression? (254 * 64) 1/4
Answer:
4064
Step-by-step explanation:
254*64=16256*1/4=4064
How is the graph of g(x) = [tex](x-10)^{2}[/tex] related to the graph of f(x)= [tex]x^{2}[/tex]
(x - 10)² is the graph x² by translation of 10 units moved to the right.
what is a trinomial?
Answer:
In elementary algebra, a trinomial is a polynomial consisting of three terms or monomials.
Answer:
An algebraic expression of three terms
Step-by-step explanation:
A trinomial consists of 3 terms connected to one another by + or - sign(s).
Examples: x^2 - 2x - 5 is a trinomial: Its 3 terms are arranged in descending order by powers of x.
Solve the following
5 3/4 + (6 2/3 - 4 5/6) =
Answer:
7 5/12
Step-by-step explanation:
first, subtract 4 5/6 from 6 2/3 by converting 6 2/3 to 6 4/6
5 3/4 + (6 4/6 - 4 5/6) = 5 3/4 + 1 4/6
* I borrowed 6/6 or '1' from the 6 and made 4/6 into 10/6
5 3/4 equals 5 9/12 and 1 4/6 equals 1 8/12
adding them gives you:
6 17/12 which is the same as 6 + 1 5/12, or 7 5/12
A rectangle measures 2 2/5 inches by 4 1/8 inches. What is its area
Answer:
A = 9 9/10 sq inches
Step-by-step explanation:
A = lw
A = 12/5 x 33/8
A = 396/40
A = 9 9/10 sq inches
A retirement account was opened with a $900 deposit. If the account earns 4.25% interest compounded continuously and has no other deposits or withdrawals, how long will it take the value to double?
It will take 16.66years long for the money to double
The formula for calculating the compound amount is expressed as:
A = P(1+r)^t
A is the amount after t years = 2(900) = $1800P is the amount invested = $900r is the rate in decimal = 4.25% = 0.0425Substitute into the formula to have:
1800 = 900(1+0.0425)^t
2 =(1+0.0425)^t
2 = 1.0425^t
ln2 = tln1.0425
t = ln2/ln1.0425
t = 0.6931/0.0416
t = 16.66years
This shows that it will take 16.66years long for the money to double
Learn more on compound interest here: https://brainly.com/question/18483293
I need help pls help me
Answer:
$1,270
Step-by-step explanation:
let x be the total amount of ice cream sold without tax
x + (x*0.0635)=21270
1.0635x=21270
x=20,000
so the amount he needs to send to state is
21270-20000
1,270
Total cost of icecream without cost be x
[tex]\\ \sf\longmapsto x+0.0635x=21270[/tex]
[tex]\\ \sf\longmapsto 1.0635x=21270[/tex]
[tex]\\ \sf\longmapsto x=21270/1.0635=20000[/tex]
Amount to be paid
[tex]\\ \sf\longmapsto 21270-20000=1270[/tex]
PLS HELP ASAP ILL GIVE BRAINLKEST THANKS
Answer:
w>-20
Step-by-step explanation:
Seven friends each bought a movie ticket for $14.95, popcorn for $6.99, and a drink for $2.25. How much did the friends spend in all?
Answer:
$169.33
Step-by-step explanation:
Each of the friends spent ...
$14.95 +6.99 +2.25 = $24.19
The seven friends together spent ...
7($24.19) = $169.33
which is bigger 11/18 or 5/14
Among the fractions given in this question 11/18 and 5/14, the largest fraction is: 3/5.
Step-by-step explanation:To find out which fraction is the largest, just divide the numerator by the denominator of the ratio and make the comparisons between them, thus defining which is the largest by decimal places or the largest number.
Resolution:[tex]\large \sf \dfrac{11}{18} \rightarrow 11\div18\rightarrow 0{,}61111111111[/tex]
[tex]\large \sf \dfrac{5}{14} \rightarrow 5\div14\rightarrow 0{,}35714285714[/tex]
Conclusion:We can conclude that the largest fraction, being between 11/18 and 5/14, is 11/18.
Pls Help! Will Mark Brainliest!!!
Step-by-step explanation:
it is a bit unclear to me how the cups are stacked on each other.
are we building a pyramid or is it really just one line of cups stacked into each other ? the equation suggests the latter. so, I will continue with that assumption.
then each additional cup really adds only the height of the rim to the total height of the cup tower.
so, we want to find out for what smallest x is the equation delivering as y value 32,400 or more.
32,400 = 2.4x + 13.6
let's get rid of the decimals by multiplying everything by 10.
324,000 = 24x + 136
323,864 = 24x
x = 323,864/24 = 13,494.33333...
so, we need 13,495 cups to reach its height (just rounding it to 13,494 would still leave a tiny gap, so we need the 13,495th cup - there is no way to reach the height exactly).
Easy way to do decimal multiplication.
Answer:
first multiply as if there is no decimal. Next, count the number of digits after the decimal in each factor. Finally, put the same number of digits behind the decimal in the product.
Step-by-step explanation:
