Answer:
slope = 0
Step-by-step explanation:
To find the slope of a line that passes between a pair of points, use the slope formula, [tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex]. Substitute the x and y values of the points (3,2) and (-1,2) into the formula and simplify:
[tex]m = \frac{(2)-(2)}{(-1)-(3)} \\m = \frac{2-2}{1-3} \\m = \frac{0}{-2} \\m=0[/tex]
So, the slope is 0.
Service calls arriving at an electric company follow a Poisson distribution with an average arrival rate of 5656 per hour. Find the average and standard deviation of the number of service calls in a 1515-minute period. Round your answer to three decimal places, if necessary.
Answer:
The average number of service calls in a 15-minute period is of 14, with a standard deviation of 3.74.
Step-by-step explanation:
In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:
[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]
In which
x is the number of sucesses
e = 2.71828 is the Euler number
[tex]\mu[/tex] is the mean in the given interval. The variance is the same as the mean.
Average rate of 56 calls per hour:
This means that [tex]\mu = 56n[/tex], in which n is the number of hours.
Find the average and standard deviation of the number of service calls in a 15-minute period.
15 minute is one fourth of a hour, which means that [tex]n = \frac{1}{4}[/tex]. So
[tex]\mu = 56n = \frac{56}{4} = 14[/tex]
The variance is also 14, which means that the standard deviation is [tex]\sqrt{14} = 3.74[/tex]
The average number of service calls in a 15-minute period is of 14, with a standard deviation of 3.74.
Is the following number rational or irrational?
Pi/5
Choose 1 answer:
Rational
B
Irrational
The sales data for January and February of a frozen yogurt shop are approximately normal. The mean daily sales for January was $300 with a standard deviation of $20. On the 15th of January, the shop sold $310 of yogurt. The mean daily sales for February was $320 with a standard deviation of $50. On the 15th of February, the shop sold $340 of yogurt. Which month had a higher z-score for sales on the 15th, and what is the value of that z-score
Answer:
January had a higher z-score for sales on the 15th, and the value of that z-score was of 0.5.
Step-by-step explanation:
z-score:
In a set 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]
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 p-value, we get the probability that the value of the measure is greater than X.
January:
The mean daily sales for January was $300 with a standard deviation of $20. On the 15th of January, the shop sold $310 of yogurt. This means, respectively, that [tex]\mu = 300, \sigma = 20, X = 310[/tex]. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{310 - 300}{20}[/tex]
[tex]Z = 0.5[/tex]
February:
The mean daily sales for February was $320 with a standard deviation of $50. On the 15th of February, the shop sold $340 of yogurt. This means, respectively, that [tex]\mu = 320, \sigma = 50, X = 340[/tex]. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{340 - 320}{50}[/tex]
[tex]Z = 0.4[/tex]
January had a higher z-score for sales on the 15th, and the value of that z-score was of 0.5.
Which graph below has an vertical shift of 2
A) y=sin(x-2)
B) y=sin(x)+2
C) y=sin{ pie(x) }
D) y=2sin(x)
Answer:
b. y=sin(x)+2
Step-by-step explanation:
A vertical shift moves the graph up and down on the y axis. In order to move the graph up 2 units, 2 must be added to the entirety of sin(x). Vertical shifts always appear last in the equation and are always added or subtracted.
PLEASE HELP THANK YOU !!!!!!!
Answer:
Pretty sure c is your correct answer :)
Step-by-step explanation:
I hope this helps :)
me ayudan por favor?
solo son 10 preguntas abc
Answer:
hi
Step-by-step explanation:
Can someone help me? A: How long did it take Diane to complete her route on Thursday if, on average, it took her 46 minutes?
Answer: B.) 43
I just did it on usatestprep and I got 43
Step-by-step explanation:
The solution is Option B.
The time it took for Diane to complete her route on Thursday is given by the equation T = 43 minutes
What is Mean?The mean value in a set of numbers is the middle value, calculated by dividing the total of all the values by the number of values.
Mean = Sum of Values / Number of Values
Given data ,
Let the mean of the data be represented as M = 46 minutes
The time it took for Diane to complete her route on Thursday be T
Now , the total time for all the 7 days be represented as S
And , the value of S is
S = 58 + 39 + 42 + 46 + T + 49 + 45
S = 279 + T
Substituting the values in the equation , we get
Mean = Sum of Values / Number of Values
46 = ( 279 + T ) / 7
Multiply by 7 on both sides of the equation , we get
322 = 279 + T
Subtracting 279 on both sides of the equation , we get
T = 322 - 279
T = 43 minutes
Hence , the value of T is 43 minutes
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From Question 10c, What is DC_{3,1}DC
3,1
DC₃₁ is the entry of the product DC in row 3, column 1, which you get by computing the dot product of the 3rd row of D and the 1st column of C :
{3, -2} • {1, 4} = 3×1 + (-2)×4 = 3 - 8 = -5
plsssssssssssssssss help
Answer:
x = 7
Step-by-step explanation:
Find the point on the graph that has the y-value of 8. Determine its x-value.
you roll a number cube numbered from 1 to 6. What id the probability that the number is a 3
Answer:
1 / 6
Step-by-step explanation:
S = { 1, 2, 3, 4, 5, 6 }
n ( S ) = 6
Let A be the event of getting the number " 3 ".
A = { 3 }
n ( A ) = 1
P ( A ) = n ( A ) / n ( S )
P ( A ) = 1 / 6
Therefore,
the probability that the number 3 is 1 / 6.
Find the value. Show step by step. 0.5 x 0.5 x 0.5=
Answer:
0.125
Explanation:
0.5 x 0.5 x 0.5 = 0.125
Some researchers have conjectured that stem-pitting disease in peach-tree seedlings might be controlled with weed and soil treatment. An experiment is conducted to compare peach-tree seedling growth when the soil and weeds are treated with one of two herbicides. In a field containing 20 seedlings, 10 are randomly selected throughout the field and assigned to receive herbicide A. The remainder of the seedlings is assigned to receive herbicide B. Soil and weeds for each seedling are treated with the appropriate herbicide, and at the end of the study period, the height in centimeters is recorded for each seedling. The following results are obtained: Herbicide A = 94.5 cm s1 = 10 cm Herbicide B = 109.1 cm s2 = 9 cm
Required:
1. What is a 90% confidence interval (use the conservative value for the degrees of freedom) for μ2 – μ1? a. 14.6 ± 7.00 b. 14.6 ± 7.38 c. 14.6 ± 7.80 d. 14.6 ± 9.62
2. Suppose we wish to determine if there tends to be a difference in height for the seedlings treated with the different herbicides. To answer this question, we decide to test the hypotheses H0: μ2 – μ1 = 0, Ha: μ2 – μ1 ≠0. What is the value of the two-sample t statistic?
a. 14.6
b. 3.43
c. 2.54
d. 7.80
3. What can we say about the value of the P-value?
a. P-value < 0.01
b. 0.01 < P-value < 0.05
c. 0.05 < P-value < 0.10
d. P-value > 0.10
4. If you use the 0.05 level of significance, what conclusion would you reach?
a. The evidence is not sufficiently strong to reject the null hypothesis.
b. There is sufficient evidence to reject the null hypothesis.
c. Cannot be determined by the information given.
Answer:
1. b. 14.6 ± 7.38
2. b. 3.43
3. b. 0.01 < P-value < 0.05
4. b. There is sufficient evidence to reject the null hypothesis.
Step-by-step explanation:
The hypothesis test is used to test the null hypothesis against the alternative hypothesis. The p value of the test determines whether to accept or reject the null hypothesis. In the given scenario the p value is less than 0.05 so there is sufficient evidence against the null hypothesis in favor of alternative hypothesis.
Solve x + 19 = 47.
Select one:
x = 893
x = 66
x = 28
x = 18
the answer is 28 hoped that helped
Answer:
x=28 (B)
Step-by-step explanation:
x = 28 (B)
You need to subtract 19 from both sides to get 28.
What is the value of x in the equation 4(2x + 12) = 0? (1 point)
Question 18 options:
1)
−8
2)
−6
3)
6
4)
8
Answer:
4 (2x + 12) = 0
8x + 48 = 0
8x = - 48
x = -48/8
x = - 6 (option 2)
What is the difference between Independent and Dependent events?
A. In Dependent - each event relies on the event before it.
B. They are the same - independent just means more events are occurring.
C. I. independent - each event relies on the event before it.
D. They are the same - dependent just means more events are occurring.
Answer:
C is the answer
Step-by-step explanation:
I took the test and got it right
* Question Completion Status:
QUESTION 3
Find the measure of the unknown angle of the triangle.
18
122
Which triangles are similar to triangle ABC ?
Answer:
both of em
Step-by-step explanation:
the total cost of. $220 meal with 25% tip.
Answer:
275
Step-by-step explanation:
Answer:
Total Cost = $275
Step-by-step explanation:
25% = 0.25
Multiply $220 by 0.25 to get 25% of $220.
0.25 × $220 = $55
Now add $220 and $55 to get the total cost.
$220 + $55 = $275
2. 48 degrees 17 x
(solve for x. round to the nearest tenth)
Answer:
67
Step-by-step explanation:
you divide the 48/17 yo get 67
What is 1/2 of 25? _______Explain.
Answer:
12.5
Step-by-step explanation:
0.5x25=12.5. FILLER
Select all the fractions that are equivalent to 4/5. Use the area models to help.
Answer:
8/10 and 12/15
Step-by-step explanation:
The first area model shows that 4 of the 5 blocks are filled.
The second area model shows that 8 of the 10 blocks are filled.
The third area model shows that 12 of the 15 blocks are filled.
Brainliest for correct answer
Answer:
A
Step-by-step explanation:
The measure of an angle is 47º. What is the measure of its complementary angle?
Answer:
137 degrees since it says 47
Step-by-step explanation:
Twelve people were surveyed and asked how many people live in their residence. The results are summarized in the table below.
What is the mean number of people per residence? Round to one decimal place if needed.
2.0 people per residence
2.5 people per residence
2.8 people per residence
3.5 people per residence
URGENT PLEASE HELP!
The mean number of people is 2.8 per residence . Which is the correct answer would be an option (C)
What is arithmetic mean?Arithmetic mean is defined as the ratio of the sum of observations to the total number of observations. It can be referred to as the average of a specific set of data or the arithmetic mean. One of the basic methods used to acquire a result, the term "Mean" is commonly used in the field of statistics.
The formula for the mean of a given set of data is as follows:
Mean = Sum of Observations/Total number of observations
Given the frequency distribution as :
People per residence (x) Frequency (f) fx
1 2 1 × 2 = 2
2 4 2 × 4 = 8
3 3 3 × 3 = 9
4 1 4 × 1 = 4
5 1 5 × 1 = 5
6 1 6 × 1 = 6
Summation of fx = (Σfx) = 2 + 8 + 9 + 4 + 5 + 6 = 34
Total frequency = (Σf) = 2 + 4 + 3 + 1 + 1 + 1 = 12
⇒ Mean = Σfx/Σf
⇒ 34/ 12
⇒ 2.83 ≈ 2.8
Thus, the mean of the frequency distribution is 2.8.
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Answer c
Step-by-step explanation:
3/4+1/2= 2. 5/6+1/2= 3. 3/6+1/2= 4.1/6+4/8= 5.7/8+1/4= 6.3/8+1/2=
Answer:
1.) [tex]\frac{5}{4\\}[/tex]
2.) [tex]\frac{4}{3}[/tex]
3.) 1
4.) [tex]\frac{2}{3}[/tex]
5.) [tex]\frac{9}{8}[/tex]
6.) [tex]\frac{7}{8}[/tex]
Step-by-step explanation:
The 2 steps for all of these is to get common denominators and then add and simplify.
1.) 3/4 + 1/2 (common denominator) 3/4 + 2/4 = 5/4
2.) 5/6 + 1/2 (common denominator) 5/6 + 3/6 = 4/3
3.) 3/6 + 1/2 (common denominator) 3/6 + 3/6 = 6/6 (simplify) = 1
4.) 1/6 + 4/8 (common denominator) 8/48 + 24/48 = 32/48 (simplify) = 2/3
5.) 7/8 + 1/4 (common denominator) 7/8 + 2/8 = 9/8
6.) 3/8 + 1/2 (common denominator) 3/8 + 4/8 = 7/8
I need the answer, help me please
14^-3 x 14^12
positive exponents
Answer:
20661046784
Step-by-step explanation:
I couldn't get the pos exponent but hopefully this helps
Need some help a little bit stuck
Answer:
SA = 240
Step-by-step explanation:
SA = (10*10) + (8*10) + (6*10)
SA = 240
Please Help! SCAMMERS WILL BE REPORTED. Use Gauss-Jordan elimination to solve the following linear system
-4x + 4y + 5z = 9
-2x + 2y + z = 3
-4x + 5y = 4
Answer:
This is possible and the answer is (-1,0,1)
Step-by-step explanation:
It’s difficult to write out matrices here.
I apologize!
A surveyor is measuring the distance across a small lake. He has set up his transit on one side of the lake 130 feet from a piling that is directly across from a pier on the other side of the lake. From his transit, the angle between the piling and the pier is 60°. What is the distance between the piling and the pier to the nearest foot?
Answer:
x = 225.16 feet
Step-by-step explanation:
Given that,
The angle between the piling and the pier is 60°.
A surveyor has set up his transit on one side of the lake 130 feet from a piling that is directly across from a pier on the other side of the lake.
We need to find the distance between the piling and the pier. Let the distance be d. Using the trigonometry to find it as follows :
[tex]\tan(60)=\dfrac{x}{130}\\\\x=\tan(60)\times 130\\\\x=225.16\ feet[/tex]
So, the required distance is 225.16 feet.