Answer:
y = 2x ± 3
························
Step 1. The first blank is found at the point in which the line crosses the x- axis
Step 2. The second blankis found at the point in which the line crosses the y- axis
In this case those two points are 2 and 3
Hope this helped!
The inspection division of the Lee County Weights and Measures Department is interested in estimating the actual amount of soft drink that is placed in 2-liter bottles at the local bottling plant of a large nationally known soft-drink company. A random sample of 64 bottles obtained from this bottling plant indicated a sample average and standard deviation of 2.99 and .06 liters repectively. Set up a 98% confidence interval estimate of the true average amount of soft drink in each bottle.
Answer:
The 98% confidence interval estimate of the true average amount of soft drink in each bottle is between 2.97 liters and 3.01 liters.
Step-by-step explanation:
We have the standard deviation for the sample, so we use the t-distribution 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 = 64 - 1 = 63
98% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 63 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.98}{2} = 0.99[/tex]. So we have T = 2.387
The margin of error is:
[tex]M = T\frac{s}{\sqrt{n}} = 2.387\frac{0.06}{\sqrt{64}} = 0.02[/tex]
In which s is the standard deviation of the sample and n is the size of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 2.99 - 0.02 = 2.97 liters
The upper end of the interval is the sample mean added to M. So it is 2.99 + 0.02 = 3.01 liters
The 98% confidence interval estimate of the true average amount of soft drink in each bottle is between 2.97 liters and 3.01 liters.
What value does the 7 represents in the number 94.087?
0.007, also known as the thousandths place in decimals.
Given m||n, find the value of x. (X+6)^ (x+10)^
Step-by-step explanation:
therefore x+6=0
x = -6 hope this helps and you understand it.
13 inches eaquals iwhat n fraction
Answer:
13" = 13/1" = 13"
Step-by-step explanation:
What is the perimeter of this shape
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Answer:
72.6 cm
Step-by-step explanation:
It is the perimeter of the overall rectangle plus twice the depth of the notch.*
P = 2(L+W) +2d
P = 2(16 cm + 13 cm + 7.3 cm) = 2(36.3 cm)
P = 72.6 cm
The perimeter of the shape is 72.6 cm.
_____
* You may be able to visualize this if you imagine the bottom (top) of the notch translated out (down) to the edge of the rectangle. That translation does not affect the length of the line segment, but helps convince you that only the two legs of the notch are added to the perimeter of the rectangle.
According to the graph, what is the experimental probability of selecting the letter C?
Number of occurrences of letters
16.7%
24%
16%
20%
Answer:
16%
Step-by-step explanation:
50 events and C shows 8
50/8 = 16%
Answer:
The Answer is 0.16 = 16%
Round 7095.38193145 to the nearest ten
Answer:
7100 is your answer for rounding it in the TENS place
If your rounding to the TENTHS place you are going to get 7095.4 as your answer.
Answer:
7100 in the tens place.
Step-by-step explanation:
What is the slope of the line shown in the graph?
A coordinate plane is shown. Points are graphed at −3 comma 2 and −1 comma −1. The points are connected by a line.
Please change the mixed number into a improper fraction: 1. 7 and 5/16= *
helpp
A- 120/16
B-117/16
Answer:
117/16
Step-by-step explanation:
7 * 16 = 112
112+5 = 117
If the second term of an arithmetic progression is - 4 and the fourth term is 4, find the eighth term.
Answer:
Step-by-step explanation:
a₄ = a₁ + (4-1)d
4 = -4 + 3d
d = 8/3
a₈ = a₄ + (8-4)d = 4 + 4(8/3) = 14⅔
write a poem and don’t plagiarize please helpppp
Answer:
that is major cheating, I am so sorry I can't help
Margarita's gross paycheck last week was $204.75 from working 21 hours. What is her hourly pay rate?
Answer:
$9.75
Step-by-step explanation:
This problem requires division. All factors are already provided in the problem, so all you have to do to solve this is divide 204.75/21, and get your answer! Hope this helps :)
Adult Great Basin rattlesnakes have a mean length of 32.3 inches and a standard deviation of 5.3 inches; the length of adult Southern Pacific rattlesnakes is also 32.3 inches on average, but with a standard deviation of 7.95 inches. Both species have lengths that follow a normal distribution. You select a random sample of 36 Great Basin rattlesnakes and 100 Southern Pacific rattlesnakes. Which is more likely be shorter than 29.65 inches
Using the normal distribution and the central limit theorem, it is found that the sample of 36 Great Basin rattlesnakes is more likely to be shorter than 29.65 inches.
Normal Probability DistributionIn a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
It 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, which is the percentile of X.By the Central Limit Theorem, the sampling distribution of sample means of size n has standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For the Sample of 36 Great Basin rattlesnakes:
The mean is [tex]\mu = 32.3[/tex].The standard deviation is [tex]\sigma = 5.3[/tex].Sample of 36, hence [tex]n = 36, s = \frac{5.3}{\sqrt{36}} = 0.88[/tex]We are interested in the percentile of 29.65 inches, hence [tex]X = 29.65[/tex].Then:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{29.65 - 32.3}{0.88}[/tex]
[tex]Z = -3.01[/tex]
For the Sample of 100 Southern Pacific rattlesnakes:
The mean is [tex]\mu = 32.3[/tex].The standard deviation is [tex]\sigma = 7.95[/tex].Sample of 100, hence [tex]n = 100, s = \frac{7.95}{\sqrt{100}} = 0.795[/tex]We are interested in the percentile of 29.65 inches, hence [tex]X = 29.65[/tex].Then:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{29.65 - 32.2}{0.795}[/tex]
[tex]Z = -3.33[/tex]
Due to the higher z-score, the random sample of 36 Great Basin rattlesnakes is at a higher percentile, hence it is more likely to be shorter than 29.65 inches,
To learn more about the normal distribution and the central limit theorem, you can take a look at https://brainly.com/question/24663213
The bottom one gghhggguffjgjtj
Answer:
the awnser should be. 3/4
Can you please move the question to the side I can't really see it all and that makes it hard to answer
Pls someone help I don’t get this
Answer:
its 8
Step-by-step explanation:
first divide 16 by pi which is 3.14
then divide your answer by 2 after that.
Solve for a 4/a+4= -1/a+9
Answer:
a = -8
Step-by-step explanation:
4/a + 4 = -1/a + 9
-1(a + 4) = 4(a + 9)
-1a - 4 = 4a + 36
-5a - 4 = 36
-5a = 40
a = -8
Farmer Hernandez planted 804 rows of corn on her successful farm. Each row contained 26 individual plants. How many corn plants did Ms. Hernandez plant on her farm
Answer:30.92
Step-by-step explanation:divide 26 from 804 and you will get your answer
hope this helps
Determine which is the better buy.
1 kilogram of for $2.06 or 4 kilograms of for $7.48
PLZ EXPLAIN
Answer:
the 4 kilograms of bananas for 7.48 would be better because 4 kilos. of bananas for 2.06 x4 would be 8.24
Help its pre-algebra haha help plz
Answer:
8 ramen bowls
4 pho bowls
Step-by-step explanation:
12-4=8
y + 8 < -2. the inequality is... HELPP
Answer:
y<-10
Step-by-step explanation:
Answer:
y < -10
Step-by-step explanation:
y + 8 < -2
y < -2 -8
y < -10
write the congruence condition in symbolic form for each pair of triangles. If wrong answer I will report. If correct answer I will mark brainliest.
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Answer:
ΔXXX ≅ ΔXXX
Step-by-step explanation:
All vertices have the same designation, so the congruence statement is ...
ΔXXX ≅ ΔXXX
Suppose we are writing a calculation to the right of 72,000 ÷ 3,000 Which expression has a quotient of 24? Be prepared to explain your reasoning.
A - 72,000 ÷ 30,000
B - 720,000 ÷ 300,000
C - 720,000 ÷ 30,000
D - 720,000 ÷ 3,000
Answer: You’ve probably found the answer but it’s C.
Step-by-step explanation:
I need help with this if you get it right I will mark you
Solve the following system of
equations:
x = 3y + 4
3x - 5y = 8
What is the x-intercept of the graph of 2x - 4y = 7
Answer:
y=1/2x-7/4
Step-by-step explanation:
(3.5, 0)
4x=-20 solve for x show ur work
Answer:
The answer is x=-5
Step-by-step explanation:
Step 1: Divide both sides by 4.
4x /4 = −20/4
x=−5
on their first day, researchers explore a part of the ocean floor that is 60 feet below sea level. This depth can be represented by the integer -60. On their secon dive, researchers explore a deeper depth.
Write an inequality that represents the possible depth, d, of the researchers' second dive.
Answer:
d < - 60
Step-by-step explanation:
Given that:
Depth, d of ocean floor on first dive = 60 feets below sea level = - 60
Depth, d explored on second dive is deeper than that of fist dive
Hence, possible depth, d, explored on second dive can be represented by the inequality ;
d < - 60
who wants a slushie ?
Answer:
i want a slushie what's your favorite slushie flavor
Lin lines the bottom of her first pan with aluminum foil. The area of the rectangular piece of foil is 11 1/4 square inches. Its length is 4 1/2 inches. What is the width of the foil?
Answer: the answer is 2.5
Step-by-step explanation:
Answer:
w= 5/2 inches or 2 1/2 inches
Step-by-step explanation:
area = length × width (w)
45/4 = 9/2 × w
45/4 =9w/2
45×2 = 9w×4
90 = 9w×4
9w= 90/4= 45/2
w= 45/2 × 1/9
w= 5/2 inches or 2 1/2 inches
ill give branilest
help plz hw assignemnt
Answer:
I think its 100.
Step-by-step explanation:
How are you doing?