Given:
Width of the rectangular yard = x feet
Length of the rectangular yard = x+4 feet
Perimeter of the rectangular yard is:
[tex]P=4x+8[/tex]
Perimeter of the yard = 84 feet
To find:
The length of the rectangular yard.
Solution:
Perimeter of the yard is 84 feet.
[tex]4x+8=84[/tex]
[tex]4x=84-8[/tex]
[tex]4x=76[/tex]
Divide both sides by 4.
[tex]x=\dfrac{76}{4}[/tex]
[tex]x=19[/tex]
So, the width of the rectangular yard is 19 feet.
Length = [tex]19+4[/tex]
Length = [tex]23[/tex]
The length of the rectangular field is 23 feet.
Therefore, the correct option is B.
Saundra can write 5 thank-you notes in 15 minutes. She wants to know how many notes she can write in 2 hours if she continues
writing at the same rate.
Mike says that Saundira could write 60 notes in 2 hours.
Is Mike correct? Explain your answer using the drop-down menus.
Mike is not
correct
. Since 15 minutes is of an hour, Saundira is writing at a rate of Choose... notes per hour. That
means Saundra could write 120
notes in 2 hours.
Which expression has a value of 7 when x=-2?
A:|3x+5|-4
B:|-3x-3|+10
C:|-4x+6|-7
D:|4x-8|-5
Answer:
DONT PRESS THAT LINK
Step-by-step explanation:
what is an outlier number?
Answer:
an outlier is a number that is at least 2 standard deviations away from the mean for example in the set 1,1,1,1,1,1,1,1,1,7,7,7 would be the outlier
Step-by-step explanation:
watashi wa sore ga tadashī koto o negatte imasu
arigatozaimasu!!
Step-by-step explanation:
i have noooo idea but ayyeee
A bag has 4 red marbles, 5 blue marbles, and 6 green marbles. What is the probability if choosing a red marble from the bag, not putting it back, and then choosing a green marble?
4/15
6/14
12/105
24/225
Step-by-step explanation:
hope u get it...
mark brainlist!!!
is 3/10 bigger than 2/9
Answer:
2
9
is smaller than
3
10
Step-by-step explanation:
This month Joe spent 1/2 of his salary on food and 1/3 on rent. What part of his salary did he spend? Simplify the fraction if possible.
Answer:
the answer is 5/6
Step-by-step explanation:
1/2 + 1/3
1 =3 + 2=1 5
x
-- + --- = ---
2 x 3 = 6
Did I get this first question right?
Answer:
no
Step-by-step explanation:
the correct answer is 56.55 inches
Step-by-step explanation:
nope. radius = 1/2D so it's 9.
2. r= 14.5
3. d= 42
4. d = 26
A market research company employs a large number of typists to enter data into a computer. The time taken for new typists to learn the computer system is known to have a normal distribution with a mean of 90 minutes and a standard deviation of 18 minutes. The proportion of new typists that take at most two hours to learn the computer system is
Answer:
The proportion of new typists that take at most two hours to learn the computer system is 0.9525 = 95.25%.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
Normal distribution with a mean of 90 minutes and a standard deviation of 18 minutes.
This means that [tex]\mu = 90, \sigma = 18[/tex]
The proportion of new typists that take at most two hours to learn the computer system is
This is the pvalue of Z when X = 120 minutes = 2 hours. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{120 - 90}{18}[/tex]
[tex]Z = 1.67[/tex]
[tex]Z = 1.67[/tex] has a pvalue of 0.9525.
The proportion of new typists that take at most two hours to learn the computer system is 0.9525 = 95.25%.
In the United States Constitution, the principle of popular sovereignty holds that in diridod hoturn the national and state governments .
Answer:
your answer should be J
Step-by-step explanation:
as popular sovereignty is defined as the majority of a group however large agreeing on a common answer or cause
so accordingly your answer should be J as the election process relies almost solely on popular sovereignty
I hope this helped!
Add the two expressions.
7.4w−5 and −3.7w+3
Enter your answer, in simplified form, in the box.
EXPLAIN HOW TO DO IT.
Answer:
3.7w - 2
Step-by-step explanation:
7.4w − 5 −3.7w + 3 Combine like-terms
7.4w - 3.7w + 3 - 5
3.7w - 2
Answer:
3.7w-2
Step-by-step explanation:
7.4w-5+-3.7w+3
(combine like terms)
7.4w-3.7w=
7.4-3=
4.4-.7= 3.7w
-5+3=-2
3.7w-2
I hope this helps..
A quality-conscious disk manufacturer wishes to know the fraction of disks his company makes which are defective. Step 1 of 2: Suppose a sample of 2346 floppy disks is drawn. Of these disks, 1971 were not defective. Using the data, estimate the proportion of disks which are defective. Enter your answer as a fraction or a decimal number rounded to three decimal places.
Answer:
The proportion of disks which are defective is 0.16.
Step-by-step explanation:
The proportion of defective disks is the number of defective disks in the sample divided by the size of the sample.
In this question:
2346 disks.
1971 not defective, so 2346 - 1971 = 375 defective.
[tex]p = \frac{375}{2346} = 0.16[/tex]
The proportion of disks which are defective is 0.16.
The concentration of hexane (a common solvent) was measured in units of micrograms per liter for a simple random sample of sixteen specimens of untreated ground water taken near a municipal landfill. The sample mean was 228.0 with a sample standard deviation of 4.3. Twenty specimens of treated ground water had an average hexane concentration of 224.6 with a standard deviation of 5.0. It is reasonable to assume that both samples come from populations that are approximately normal.
Can you conclude that the mean hexane concentration is less in treated water than in untreated water? Use the ? = 0.10 level of significance.
No
Yes
Answer:
Yes, it can be concluded that the mean hexane concentration is less in treated water than in unsaturated water
Step-by-step explanation:
The number of of specimen in the samples of untreated water, n₁ = 16
The sample mean, [tex]\overline x_1[/tex] = 228.0
The sample standard deviation, s₁ = 4.3
The number of of specimen in the samples of treated water, n₂ = 20
The sample mean, [tex]\overline x_2[/tex] = 224.6
The sample standard deviation, s₂ = 5.0
The level of significance = 0.10
The null hypothesis, H₀; [tex]\overline x_1[/tex] ≥ [tex]\overline x_2[/tex]
The alternative hypothesis, Hₐ; [tex]\overline x_1[/tex] < [tex]\overline x_2[/tex]
The degrees of freedom = 16 - 1 = 15
The test statistic, [tex]t_{\alpha}[/tex] = 1.341
[tex]t=\dfrac{(\bar{x}_{1}-\bar{x}_{2})}{\sqrt{\dfrac{s_{1}^{2} }{n_{1}}-\dfrac{s _{2}^{2}}{n_{2}}}}[/tex]
Plugging in the values, we get;
[tex]t=\dfrac{(224.6- 228.0)}{\sqrt{\dfrac{5.0^{2}}{20} -\dfrac{4.3^{2} }{16}}} \approx -11.0675[/tex]
Given that the t-value is large, the corresponding p-value is low, therefore, we fail to reject the null hypothesis and there is considerable statistical evidence to suggest that the mean hexane concentration is less in treated than in untreated water, therefore, we have; [tex]\overline x_1[/tex] ≥ [tex]\overline x_2[/tex]
With a capacity of 6,300 people, Royal Caribbean’s Oasis of the Seas is the world’s largest cruise ship. The average beer consumption over 35 randomly selected seven-day cruises on the ship was 81,740 bottles. From historical data you know that the population standard deviation of beer consumption is 4,590 bottles. Royal Caribbean would like to estimate the average beer consumption to plan its beer inventory levels on future cruises. (The ship certainly doesn’t want to run out of beer in the middle of the ocean!)
A. Construct a 95% confidence interval to estimate the average beer consumption per cruise.
B. Verify this interval using excel.
C. What assumptions need to be made about this population?
Step-by-step explanation:
Mean = 81740
Standard deviation = 4590
Sample size = 15
Alpha level = 1-0.95 = 0.05
Df = 15-1 = 14
Critical value:
alpha/2 = 0.05/2 = 0.05
t0.025
t critical value = 2.145
Margin of error ME
2.145 x 4590/√15
2.145 x 4590/3.873
ME = 2542.09
Confidence interval
Lower CI = mean - ME
= 81740-2542.09
= 79197.91
Upper CI = mean + ME
= 81740+2542.09
= 84282.09
[ 79197.91, 84282.09]
B.
Using excel, exact answer for CI
Lower limit = 79198.142724212173
Upper limit = 84281.8572757827
C.
The assumptions to be made from the population are that
1. Samples are random
2. These samples are gotten from an approximately normal distribution
PLS HELP I WILL GIVE YOU BRAINLIEST AND LOVE YOU FOREVER
Jessica ran 2 3/4 miles on Tuesday, 3 1/4 on Wednesday, and 1 1/4 on Thursday. She ran the same number of miles as the previous three days on Friday through Sunday. How many miles is Jessica run Tuesday through Sunday? Leave your answer as a mixed fraction.
Rita has a sister named Gabriela who is 4 years older than she is. The product of their ages is 21. Write an equation to find their ages.
Step-by-step explanation:
let Rita = R
Let Gabriela = G
so we have
G ×R = 21
G= R + 4
(R+4)(R) = 21
R^2+4R -21=0
Consider this right triangle.
o
13
M
N
12
Select the ratio equivalent to tan(O).
Answer:
5/13
Step-by-step explanation:
Answer:
a
Step-by-step explanation:
What is the area surface of the pyramid please do not do any files or links just say the answer and do not guess
Answer:
448
Step-by-step explanation:
estimate each percent: 50% of 39
Answer:
19.5
Step-by-step explanation:
39 x 0.50 = 19.5
HELP!!!
Determine whether the sequence converges or diverges. If it converges, give the limit.
36, - 6, 1, - , ...
a. Converges;
b. Converges;
c. Converges; 6660
d. Diverges
Answer:
c
Step-by-step explanation:
i just took a test on it
The sequence converges to 0.
What is geometric sequence?"It is a type of sequence where the ratio of every two consecutive terms is a constant."
Formula to find the nth term of geometric sequence:"[tex]a_n=a_1\times r^{n-1}[/tex]
where [tex]a_1[/tex] is the first term, and r is the common ratio."
What is the convergent sequence?"If [tex]\lim_{n \to \infty} a_n[/tex] exists and is finite we say that the sequence is convergent.
where [tex]a_n[/tex] is the n-th term of the sequence."
What is the divergent sequence?" If [tex]\lim_{n \to \infty} a_n[/tex]doesn't exist or is infinite we say the sequence diverges.
where [tex]a_n[/tex] is the n-th term of the sequence."
For given question,
We have been given a sequence.
36, - 6, 1, - , . . .
The first term of the sequence is [tex]a_1=36[/tex]
[tex]\frac{-6}{36}=-\frac{1}{6}\\\\ \frac{1}{-6}=-\frac{1}{6}[/tex]
The ratio of every two consecutive terms is a constant.
⇒ [tex]r=-\frac{1}{6}[/tex]
So, the n-th term of given geometric sequence would be,
[tex]a_n=36\times (-\frac{1}{6})^{n-1}[/tex]
Now we determine whether the sequence is convergent or divergent.
[tex]\lim_{n \to \infty} a_n \\\\= \lim_{n \to \infty}36\times (-\frac{1}{6} )^{n-1}\\\\=36\times \lim_{n \to \infty} (-\frac{1}{6} )^{n-1}\\\\=36\times 0\\\\=0[/tex]
Since [tex]\lim_{n \to \infty} a_n[/tex] exists and is finite we say that the sequence is convergent.
Therefore, the sequence converges to 0.
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It’s me again guys!! Can anyone help me please?
What are the zeros of the polynomial function f(x) = x3 + 9x2
Hi there!
[tex]\large\boxed{x = -9, 0}[/tex]
Find the zeros using factoring:
f(x) = x³ + 9x²
Factor out the common term, or x²:
f(x) = x²(x + 9)
Set each factor equal to 0:
x² = 0
x = 0
x + 9 = 0
x = -9
The zeroes are -9, 0.
Solve for x. Enter the solutions from least to greatest. (x + 3)^2 - 4 = 0
The solutions of x in the equation are -5 and -1
What are quadratic equations?Quadratic equations are second-order polynomial equations and they have the form y = ax^2 + bx + c or y = a(x - h)^2 + k
How to determine the solution of x?The equation is given as
(x + 3)^2 - 4 = 0
Add 4 to both sides of the equation
So, we have
(x + 3)^2 = 4
Take the square root of both sides
x + 3 = ±2
Subtract 3 from both sides
x = - 3 ± 2
Evaluate
x = (-3 - 2, -3 + 2)
This gives
x = (-5, -1)
Hence, the solutions of x in the equation are -5 and -1
Read more about equations at
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Intercontinental, Inc., uses a perpetual inventory system. Consider the following information about its inventory: July 1, purchased 10 units for $910 or $91 per unit; July 3, purchased 15 units for $1,590 or $106 per unit; July 14, sold 20 units; July 17, purchased 20 units for $2,300 or $115 per unit; July 28, purchased 10 units for $1,190 or $119 per unit; July 31, sold 23 units.
Using weighted average, the cost of goods sold for the sale of 23 units on July 31 is ____ and the inventory balance at July 31 is _____.
Answer:
Using weighted average, the cost of goods sold for the sale of 23 units on July 31 is $2,504.70, and the inventory balance at July 31 is $ 1,306.90.
Step-by-step explanation:
Since Intercontinental, Inc., uses a perpetual inventory system, and on July 1, purchased 10 units for $ 910 or $ 91 per unit; on July 3, purchased 15 units for $ 1,590 or $ 106 per unit; on July 14, it sold 20 units; on July 17, purchased 20 units for $ 2,300 or $ 115 per unit; on July 28, purchased 10 units for $ 1,190 or $ 119 per unit; and on July 31, sold 23 units, to determine the average costs and the inventory balance as of July 31, the following calculations must be performed:
(910 +1590 + 2300 + 1190) / (10 + 15 + 20 + 10) = X
5990/55 = X
108.90 = X
108.90 x 23 = 2504.7
(55 x 108.9) - (43 x 108.9) = X
5990 - 4683.10 = X
1306.90 = X
Using weighted average, the cost of goods sold for the sale of 23 units on July 31 is $ 2504.70, and the inventory balance at July 31 is $ 1,306.90.
Evaluate 7!4!/3!6! Simplyfy your answer
Answer:
28
Step-by-step explanation:
Steps 1 : for the top numerator 7!4! =
7! = 7×6×5×4×3×2×1
4!=4×3×2×1
step 2 : for the bottom denominator 3!6!
3!= 3×2×1
6!=6×5×4×3×2×1
step 3 : is to cancel out all number that looks like on numerator over denominator
it will leave you with 7 × 4 only on the numerator = 28
because all the number in the denominator will cancel out with some on the numerator .
I hope it helps
The simplified solution of the factorial expression (7!4!)/(3!6!) is 14/3.
The given expression is
(7!4!)/(3!6!)
We can simplify it using properties of factorials.
First, let's expand each factorial:
7! = 7 x 6 x 5 x 4 x 3 x 2 x 1
4! = 4 x 3 x 2 x 1
3! = 3 x 2 x 1
6! = 6 x 5 x 4 x 3 x 2 x 1
Now, we can substitute these factorials into the original expression:
(7!4!)/(3!6!) = (7 x 6 x 5 x 4 x 3 x 2 x 1 x 4 x 3 x 2 x 1) / (3 x 2 x 1 x 6 x 5 x 4 x 3 x 2 x 1)
Next, we can cancel out common factors from the numerator and denominator:
(7 x 4)/(3 x 2 x 1) = 28/6
Simplifying:
28/6 = 14/3
Therefore, the simplified solution to (7!4!)/(3!6!) is 14/3.
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Can someone help me :(
Answer:
x = 20
Step-by-step explanation:
19 < x < 25
x had to be higher than 19 but lower than 25
18 cant be the answer because it is less than 19
27 cant be the answer because it is higher than 25
that leaves 20, which is the right answer
19 < 20 < 25
Select all of the terms that apply to the shape.
A) pentagon
B) hexagon
C) heptagon
D) octagon
E) nonagon
F) decagon
G) regular polygon
H) irregular polygon
I) m concave
J) m convex
Given you select a female, what probability will they prefer playing NBA2K20? Round your answer to the nearest thousandth. __________A. 0.609 B. 0.463 C. 0.185 D.0.398
Answer:
B
Step-by-step explanation:
just divide 152 by 328 and youll get 0.463
Find f(-3) when f(x) = -x + 1
Answer:
4
Step-by-step explanation:
so when it says f(x)=-x+1
the x values are constant so what value is in f(x) the value of x goes right into -x+1
f(-3)=-x+1
f(-3)=-(-3)+1
f(-3)=4
Answer:
yea the anwser is 4
（>﹏<）
Probability is the likelihood of an event happening and is expressed as a number between ____ and ____.
-1 and 2
-1 and 100
-0 and 1
-0 and 100
Answer:
0 and 1
Step-by-step explanation:
"The probability ot an event lies between 0 and 1"
I need help with this
Answer:
i need help with this so you can ready