Answer:
He can be 99% confident that the mean number of calls per day is between 266.5 and 292.3.
Step-by-step explanation:
Confidence interval:
A confidence interval is symmetric, which means that the difference between the sample mean and the lower bound is the same as the difference between the upper bound and the sample mean.
In this question:
Sample mean: 279.4 calls
Lower bound: 266.5 calls
Upper bound: x calls
Due to the symmetry of the confidence interval:
[tex]x - 279.4 = 279.4 - 266.5[/tex]
[tex]x = 12.9 + 279.4[/tex]
[tex]x = 292.3[/tex]
So
He can be 99% confident that the mean number of calls per day is between 266.5 and 292.3.
Two congruent triangles are cut from a rectangle. Find the area of the shaded region round to the nearest tenth if necessary 8in 8in 6in 6in pls use 3.14 or use the formula of area thank you very much
Answer:
umm
Step-by-step explanation:
Factor 6x4 – 5x2 + 12x2 – 10 by grouping. What is the resulting expression?
(6x + 5)(x2 – 2)
(6x – 5)(x2 + 2)
(6x2 + 5)(x2 – 2)
(6x2 – 5)(x2 + 2)
Answer:
(6x2 - 5)(x2 + 2)
Step-by-step explanation:
Answer:
d
Step-by-step explanation:
The slope of a linear function is 1/5. For every rise of 5 units, what is the run?
Answer:
for every rise of 1 the run would be 25
PLEASE HELP ME BEST ANSWER GETS BRAINLIEST NO SCAMS PLEASE!
This is an example of a random sample: Surveying people in the library about whether they like to read books.
True
False
Answer:
False
Step-by-step explanation:
People reading in a library are most likely going to like to read books
Answer:
false i thin if not sorry
Step-by-step explanation:
YEE YEE
what's is the slope of the line? please answer
Answer:
The answer to your question is: -2/3
Individual bottles of water are filled by a machine at a factory with an amount of water that is approximately normal with a mean of 505\,\text{mL}505mL505, start text, m, L, end text and a standard deviation of 10\,\text{mL}10mL10, start text, m, L, end text. A random sample of 161616 bottles is selected for a quality inspection. What is the probability that the mean amount of water in these 161616 bottles \bar x x ˉ x, with, \bar, on top is within 5\,\text{mL}5mL5, start text, m, L, end text of the population mean?
Answer:
P(500< xˉ <510)≈0.95
Step-by-step explanation:
Khan Academy
PLS HELPPP
What value of x would make the following relation a function?
{(-3,-2),(2,3),(3,2),(x,2)}
A. -3
B. -2
C. 2
D. 3
PLEASE ANSWER ASAP FOR BRAINLEST!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
268
Step-by-step explanation:
The two figures shown are congruent. Which statement is true?
One figure is a translation image of the other.
One figure is a rotation image of the other.
Neither figure is a translation or rotation image of the other.
9514 1404 393
Answer:
(b) One figure is a rotation image of the other
Step-by-step explanation:
The axis of symmetry is horizontal for the left figure, and vertical for the right figure. The right figure has been rotated 90° CW from the left figure.
4 pairs of shoes cost $80. What is the cost of 7 pairs of shoes??? someone help
Answer:
7 pairs of shoes costs $140
Step-by-step explanation:
80/4 = $20 per pair of shoes
20* 7 = $140
7 pairs of shoes costs $140
Answer: 140$ $80/4 is 20 so the cost for one pair of shoes is 20$ so 20$ times 7 is 140$
Step-by-step explanation:
4) find the first five terms of the recursively defined sequence.
a1=5, an+1=-3an+1
Answer:
566556565*7*7/*7+666364
Francine can ride 16 miles on her bicycle in 45 minutes. At this speed, how many minutes would it take Francine to ride 60 miles?
Answer:
2000 minutes on 16 miles
Answer:
168.75 minutes
Step-by-step explanation:
Francine's speed (the unit rate) is (16 miles) / (45 minutes), or 16/45 miles/min.
Recalling that distance = speed times time, we recognize that
time = distance / speed
which here is
(60 miles) / (16/45) miles/min = 168.75 minutes, or 168 min 45 sec
Given the following right triangle, solve for the missing side length, r: *
29.24 m
200 m
30 m
2.5 m
Whats 4 5/6 + 5 7/8 thank you for answering
Answer:
4 5/6 + 5 7/8= 10 17/24
Step-by-step explanation:
pretty sure I answered this exact question like minutes ago
Answer: 257/24, or 10 and 17/24.
Step-by-step explanation:
First, we need to turn the fractions into improper fractions and then find the common denominator.
4 and 5/6 = 29/6
5 and 7/8 = 47/8
The common denominator is 24. Now, we convert the fractions and add. Hope this helps!
URGENT GEOMETRY!!! can someone help me with this please
Answer:
To find the angle of this triangle you have to [tex]cos^{-1}(\frac{4.87}{5.35})[/tex]. When you do this you will get 24 as the angle
Step-by-step explanation:
Hope this Helped
The length of a rectangle is 20 inches less than twice the width. The perimeter of the rectangle is 86 inches. Find the dimensions of the rectangle.
Answer:
length=22
width=21
Step-by-step explanation:
let, length be x and width be y.
x=2y-20
2(x+y)=86
or, 2(2y-20+y)=86
or, 2(3y-20)=86
or, 6y-40=86
or, 6y= 126
or, y= 126/6
y= 21
x= 2×21-20 = 42-20 =22
You are selling lemonade. You find that if you set the price at $2.00 per cup, you sell 14 cups over the
course of a day. You also notice that for every $0.10 you decrease the price by, you sell 3 more cups over
the course of the day. Come up with a linear equation to model this situation.
Step-by-step explanation:
$2.00x-($.10x)=3+x
the x would stand for cups and since you already get 3 more cups in a day than before then you would put 3+x_how many cups you sell. the $2.00 is for how much money each up is. and the -$.10 is subtracting 10 cents for each cup you sell.
I dont know if this is correct but this is how I would make my equation
Grace created the net worth statement shown.
Based on the information in the statement, what is
Grace's net worth?
Net Worth Statement
- $46,600
Assets
Value
House (current value)
$125,000
® - $94,000
Investments
$12,000
Savings account
$3,600
$46,600
Total Assets
$140,600
D$234,600
Liabilities
Credit card debt
$7,500
Mortgage
$86,500
Total Liabilities
$94,000
Answer: 46,600
Step-by-step explanation:
A town has a population of 14000 and grows at 3% every year. What will be the population after 6 years, to the nearest whole number?
Answer: 1672
explanation: add 3% from each previous year to get to the 6th year
Answer:
16717
Step-by-step explanation:
11 and 3/8 pounds of cat food were donated to the shelter
42/2 +9=???
what is the answer and how do you find the answer?!
For which Inequality would x= 4.5 not be a solution?
12-28
O8x+5>0
9x-5 <80
Ox+62 10
Answer:
12-28
Step-by-step explanation:
The age of a car and the value of the car
Positive correlation
Negative correlation
No correlation
Answer:
negative correlation ( age of the car increases value of it decreases)
Matthew has a shipping carton in the shape of a right rectangular prism. The volume of the shipping carton is 11. cubic meters. The
height of the shipping carton is 7 meters and the width is 2 meters.
What is the length of Matthew's shipping carton?
fraction in simplest form in the box
Answer:
Height = 0.7857 m = 13/16 m
Step-by-step explanation:
Height x 7 x 2 = 11
Height = 0.7857 m = 13/16 m
What is the formula for calculating Cone?
A psychology professor assigns letter grades on a test according to the following scheme. A: Top 9% of scores B: Scores below the top 9% and above the bottom 56% C: Scores below the top 44% and above the bottom 20% D: Scores below the top 80% and above the bottom 6% F: Bottom 6% of scores Scores on the test are normally distributed with a mean of 79.3 and a standard deviation of 8.4. Find the numerical limits for a D grade. Round your answers to the nearest whole number, if necessary.
Answer:
You get a D if you have a grade between 66 and 72.
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.
Scores on the test are normally distributed with a mean of 79.3 and a standard deviation of 8.4.
This means that [tex]\mu = 79.3, \sigma = 8.4[/tex]
D: Scores below the top 80% and above the bottom 6%
So between the 6th and the 20th percentile.
6th percentile:
X when Z has a pvalue of 0.06. So X when Z = -1.555.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]-1.555 = \frac{X - 79.3}{8.4}[/tex]
[tex]X - 79.3 = -1.555*8.4[/tex]
[tex]X = 66.2[/tex]
Rounds to 66
20th percentile:
X when Z has a pvalue of 0.2. So X when Z = -0.84.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]-0.84 = \frac{X - 79.3}{8.4}[/tex]
[tex]X - 79.3 = -0.84*8.4[/tex]
[tex]X = 72.2[/tex]
Rounds to 72
You get a D if you have a grade between 66 and 72.
In a poll of students at the hockey championship, 87% of the students say that hockey is better than baseball.
(a) Explain why it is not a valid conclusion to say that hockey is more popular than baseball at the school.
Answer:
Sample Bias
Step-by-step explanation:
If you sample Hockey players on if their sport is better than baseball, chances are they will vote for their sport being better.
what fraction is 15 minutes of 1 hour explain also
Answer:
1/4
Step-by-step explanation:
15+15+15+15= 60
i hope this helps
Answer:
The answer is 1/4
Step-by-step explanation:
1 hour = 60 minutes
Therefore;
Fraction of 15 minutes with respect to 1 hour is;
15 minutes/ 1 hour
=15 minutes/60 minutes
=1/4
Therefore the answer is 1/4
Hope this helps.
what is the measurement of jkl
Answer:
The angles combined together are 200, so you will have to subtract the difference of 200 and 180 from the combined angles. The angle of line JKL is 160 degrees.
Step-by-step explanation:
Please mark as brainliest!
Answer:
The measure of angle JKL is 97 degrees.
Step-by-step explanation:
If the area of a rectangle is (15x2 - 16x - 15) square feet, and its length is (3x - 5) feet, find its width
Answer:
255
Step-by-step explanation:
(15x2 - 16x - 15) = 270
(3- 5) = -15
270
- -15
= 255
The breadth of the rectangle is (-5x-3).
Area of rectangleThe area of a rectangle is given as the product of its length to its breadth.
[tex]\rm{Area\ of\ Rectangle = Length \times breadth\\[/tex]
Given to usarea of a rectangle = (15x2 - 16x - 15)
length = (3x - 5)
Width[tex]Area\ of\ Rectangle = Length \times breadth\\(15x^2-16x-15)=(3x-5)\times breadth\\\\(3x-5)\times breadth=(15x^2-16x-15)\\\\breadth = \dfrac{(15x^2-16x-15)}{(3x-5)}\\\\breadth = (-5x-3)[/tex]
Hence, the breadth of the rectangle is (-5x-3).
Learn more about Rectangles:
https://brainly.com/question/10046743