Answer: 25%
Step-by-step explanation:
A rectangular room is 1.8 times as long as it is wide, and its perimeter is 28 meters. Find the dimension of the room.
Length: meters
Width: meters
Answer:
Length = 9 meters, and Width = 5 metersStep-by-step explanation:
Let,
Width or breadth of the rectangular room be = x
So, Length of the rectangular room = 1.8 × x = 1.8x
As given,
Perimeter of the room = 28 m
Therefore,
By the problem,
=> 2 (l + b) = 28 m
[On putting values of l = 1.8x and b = x]=> 2 (1.8x + x) = 28
[On Simplification]=> 2 × 2.8x = 28
[On multiplying]=> 5.6x = 28
[On dividing 5.6 on both sides][tex] = > \frac{5.6x}{5.6} = \frac{28}{5.6} [/tex]
[On Simplification]=> x = 5
Now,
As we got, x = 5 so,
Width of the rectangular room = 5 m Length of the rectangular room = (1.8 × 5)m = 9 mHence ,
Dimensions of the room are
Length = 9 meters, and
Width = 5 meters (Ans)
Question 3
4 pts
What is the radius of a circle that has a center at (2, -1) and goes through (2, 3).
Round to the nearest integer
Answer:
4
Step-by-step explanation:
yeah-ya........... right?
Find the mean, median, mode, and range for the following list of values: 12, 15, 16, 18, 12, 16, 6, 9, 8, 18.
(x - 30°)
to
to
(x - 30)
(x - 30)
Write an equation of the line that passes through (6, 1) and is perpendicular to x +2y-12=0.
Answer:
y = 2x - 11
Step-by-step explanation:
Perpendicular lines have negative reciprocal slopes—multiplying the slopes of two lines results in a product of -1.
Given the linear equation, x + 2y - 12 = 0, and the other point, (6, 1):
Convert the given linear equation into its slope-intercept form:
x + 2y - 12 = 0
Subtract x from both sides:
x - x + 2y - 12 = - x 0
2y - 12 = -x
Next, add 12 to both sides of the equation:
2y - 12 + 12 = -x + 12
2y = -x + 12
Divide both sides by 2 in order to isolate y:
y = - ½x + 6
Since the slope of the given equation is - ½, then the other line perpendicular to it must have a slope of 2:
Let m₁ = - ½
m₂ = 2
m₁ × m₂ = -1
-½ × 2 = -1
Hence, the slope of the other line, m₂ = 2. Next, using the slope of the other line, m₂ = 2, and the other given point, (6, 1), substitute these values into the slope-intercept form to solve for the y-intercept, (b):
y = mx + b
1 = 2(6) + b
1 = 12 + b
1 - 12 = 12 - 12 + b
-11 = b
Thus, the y-intercept of the other line is b = -11.
Therefore, the linear equation of the line that is perpendicular to x + 2y - 12 = 0 is:
y = 2x - 11.As a proof, attached is the graph of both equations, where it shows that they are perpendicular from each other.
3. Which quotient does the model Tess
made represent?
A 1.35 + 3 = 0.45
B 1.35 = 3= 0.54
C 1.62 = 3= 0.45
D Not here
Answer:
lol,
Step-by-step explanation:
so many words and sorry i cant answer
Scientists often use mice to study human disease and physiology. Parker et al. (2016) studied over 1000 newborn mice in order to better understand the genetic loci involved in many human diseases. As part of this study, the scientists snipped up to 5 mm from the end of each mouse's tail for the purpose of DNA collection. The scientists weighed each mouse immediately after snipping its tail. The provided data set lists the weights of the mice (in grams) after snipping.
Suppose the researchers wish to determine a range of plausible values for the weights of newborn mice with recently snipped tails. Use software to construct a 95% t-confidence interval for the population mean weight of newborn mice with snipped tails.
Complete the sentence to state how the researchers should correctly interpret the t-confidence interval.
The____that___of____is between the upper and lower limits of the confidence interval.
a. the true population mean weight.
b. the true sample mean weight.
c. researchers are 95% confident
Results - Descriptive Statistics
Export
n Sample Mean Standard Min Q1 Median Q3 Max
Deviation
id1200 4.250e+4 6068 26305 4.293e+4 4.425e+4 4.568e+4 47073
bwo 1200 25.39 3.030 13.40 23.50 25.20 27.40 38.70
Using the t-distribution, it is found that the 95% t-confidence interval for the population mean weight of newborn mice with snipped tails is (42157, 42843).
The interpretation is: The researchers are 95% confident that the true population mean weight of newborn mice with snipped tails is between the upper and lower limits of the confidence interval.
We are given the standard deviation for the sample, which is why the t-distribution is used to solve this question.
The information given is:
Sample mean of [tex]\overline{x} = 42500[/tex].
Sample standard deviation of [tex]s = 6068[/tex].
Sample size of [tex]n = 1200[/tex].
The confidence interval is:
[tex]\overline{x} \pm t\frac{s}{\sqrt{n}}[/tex]
The critical value, using a t-distribution calculator, for a two-tailed 95% confidence interval, with 1200 - 1 = 1199 df, is t = 1.96.
The interval is:
[tex]\overline{x} - t\frac{s}{\sqrt{n}} = 42500 - 1.96\frac{6068}{\sqrt{1200}} = 42157[/tex]
[tex]\overline{x} + t\frac{s}{\sqrt{n}} = 42500 + 1.96\frac{6068}{\sqrt{1200}} = 42843[/tex]
The 95% t-confidence interval for the population mean weight of newborn mice with snipped tails is (42157, 42843).
The interpretation is that we are 95% sure that the population mean weight is in this interval, hence:
The researchers are 95% confident that the true population mean weight of newborn mice with snipped tails is between the upper and lower limits of the confidence interval.
A similar problem is given at https://brainly.com/question/25417022
If all other factors stay the same, which sample size will create the widest confidence interval?
A) N=100
B) N=200
C) N=300
D) The value of N does not matter here
Answer:
n=300
Step-by-step explanation:
Complete the remainder of the table for the given function rule.
Please hurry!!
No links, or no fake answers
You will get a total of 20 points
My grade depends on this. I suck at math and if I get this quiz all wrong I may fail.
Thank you!
Answer:
first blank: 16
second blank: 4
third blank: -8
fourth blank: -20
Step-by-step explanation:
hope this helps and I hope you can rate my answer!
126/999 simplified
Answer:
14/11
Step-by-step explanation:
write each ratio in simplest form 20 day to 2 weeks
Answer:
10:1
Step-by-step explanation:
Divide each number by two
Answer:
10:1, 10:7
Step-by-step explanation:
20:2, 20:14
You can count the 2 weeks as 2 or 14.
Find the cardinal number for the set.
{27, 29, 31, 33, 35)
The cardinal number for the set is 5.
What is the cardinality of a set?
The size of a finite set (even comprehended as its cardinality) exists calculated by the number of elements it has. Remember that counting the number of elements in a set amounts to creating a 1-1 correspondence between its elements and the numbers in {1,2,...,n}.
The cardinal number (or cardinality) of set A, represented by n(A), exists as the number of distinct elements in set A
Since set A contains 5 distinct elements, then:
n(A) = 5
Therefore, the cardinal number for the set is 5.
To learn more about cardinality of a set
https://brainly.com/question/23976339
#SPJ2
6300kg in grams in standard form
Answer:
6300 kg is equivalent to 6.3·10^5 g
Step-by-step explanation:
Convert 6300 kg TO g in standard form. Recall that 1000 g = 1 kg.
1000 g
Multiplying 6300 kg by ------------- results in 63·10^4, or 6.3·10^5
1 kg
6300 kg is equivalent to 6.3·10^5 g.
What is the greatest common factor of 24, 32 and 36
Answer:
4
Step-by-step explanation:
Nothing higher than 12 can be a possiblity for 24.
24 1, 2, 3, 4, 6, 8, 12, 24.
32 1, 2, 4, 8, 16
36 1, 2, 3, 4, 6, 9, 12, 18
The one number that shows up the most and at the highest value, is 4. So the GCF is 4
John has B bats and buys C bats more. He then gives away D bats. Which of the following algebraic statements correctly shows how many bats John has left?
A. d - bc
B. b - c - d
C. b + c - d
D. b + d - c
The Correct algebraic expressions is -
C. b + c - d
Explanation-[tex]\longrightarrow[/tex]Initially John has b bats , Now he buys c bat more , therefore no. of bats will be added to determine the number of bats , in algebraic expressions it will be-
b+c[tex]\longrightarrow[/tex]Now John gives away d bats, therefore d bats will be subtracted from number of total bats he have now, in algebraic expressions it will be-
(b+c) - d=> b+c- dSahana is going on holiday to America. She goes to the bank to exchange £150 into . The exchange rate in the bank is £1=$1.42 how many dollars will Sahana get
The sum of four times a number and five is twenty-one. Find the number
Write out the equation:
4x + 5 = 21
Subtract 5 from both sides:
4x = 16
Divide both sides by 4:
X = 4
The number is 4
there is 30 gallons of water and 12 gallons of lysol in a cleaning mixture. what is the percent of the mixture is lysol?
Answer:
40%
Step-by-step explanation:
To find the percentage, set up a proportion!
12/30 = x/100
Now cross multiply!
30 · x = 30x
12 · 100 = 1,200
You are left with:
30x = 1,200
Divide both sides by 30...
And you get....
x = 40
The mixture is 40% lysol!
I hope this clears up any confusion you may have had :D
29. 2500 people took part in a cross-country race. The number
of adults were 4 times the number of children. If there were
1200 men, how many women were there?
800 women because
2500 divided by 5 = 500 children
then.......2500 minus 500 children minus 1200 men is a balance of 800 women.
Help help help help help math please
Answer:
It's dilate
Step-by-step explanation:
Because it changed in size and if it would to be translation the same size would be the same just different amount of spaces between the shapes.
TRUE OR FALSE a bill of rights is a list of essential freedoms
Answer:
I do believe that the answer is true
Step-by-step explanation:
Answer: TRUE
Step-by-step explanation: A bill of rights is a list of the most important rights belonging to the citizens of the country. It is the declaration and enumeration of a person's right and privileges even the government must respect that.
What is 9(2g-h) simplified
Step-by-step explanation:
9(2g - h) = ...
= (9•2g) + (9•(-h))
= 18g - 9h
each week Jessica saves two fifths of her $40.00 allowance how much allowance does she save each week? how much allowance does she not save a week?
Taylor has 4 1/3 inches of ribbon. If she was to cut some off to have 1 3/4 inches left, how much would she need to cut off?
Answer:
2 7/12
Step-by-step explanation:
4 1/3 - 1 3/4
you need a common denominator for 3 and 4 and the lowest would be 12
1/3 = 4/12
3/4 = 9/12
4 4/12 - 1 9/12
we can change 4 4/12 to be 3 16/12 by borrowing 12/12 or 1 from 4
3 16/12 - 1 9/12 = 2 7/12
hiiiii if anyone can do these i would love you forever
Answer:
answer is here!
https://brainly.com/link/1289/
Step-by-step explanation:
Hope this is what you need
a)
[tex]6^{3x + 4} = R[/tex][tex]3x + 4 = log_6R[/tex][tex]x = 1/3( log_6R - 4)[/tex]b)
[tex]F=log_5(y + 2)[/tex][tex]5^F=y+2[/tex][tex]y=5^F-2[/tex]c)
[tex]Q-1=e^x[/tex][tex]ln(Q-1)=ln(e^x)[/tex][tex]x=ln(Q-1)[/tex]d)
[tex]15=log(w+8)[/tex][tex]10^{15}=w+8[/tex][tex]w=10^{15}-8[/tex]2 hours 20 min to 40 min
Answer:
um there are 3 1/2 forties in two hours and 20 minutes. Did this answer your question?
Step-by-step explanation:
2 hours 20 minutes= 140 minutes
140/40=3 1/2
When the product of 6 and the square of a number is increased by 5 times the number, the result is 4.
Select all of the values that the number could be.
-4/3
1/2
-3/4
2
Answer: Option 1 & 2
Step-by-step explanation:
Just answered the question
12 is less than or equal to 102
Answer:
12 is less than 102
Step-by-step explanation:
The options are [tex]12<102[/tex] or [tex]12=102[/tex]
12 cannot be equal to 102 as they are not the same number/quantity.
Therefore, 12 has to be less than 102, as 102 is a larger number.
Another way to think about this is imagining a number line. As you go to the left the numbers get smaller, and to the right the numbers increase. If 12 is to the left of 102 on the number line, then it must be less.
A family eats at a resturaunt. The bill is $75. The family leaves a tip and spends $87 total. What percentage tip did they leave?
Answer:
7.77
Step-by-step explanation:
331
x 29
What is the answer
Answer:
9599
Step-by-step explanation:
use technology.
Answer:
9595
Step-by-step explanation:
x = 331 x 29
= 9595
331
x 29
----------
9595
