Answer:
>3
Step-by-step explanation:
−5x+15<−2x+6
Step 2: Add 2x to both sides.
−5x+15+2x<−2x+6+2x
−3x+15<6
Step 3: Subtract 15 from both sides.
−3x+15−15<6−15
−3x<−9
Step 4: Divide both sides by -3.
−3x
−3
<
−9
−3
in 2015, the number of fish in a pond was 80. In 2016 The number of fish declined by 75% How many fish were in the pond in 2016?
I think the the answer is 20
After the first week of registration, 92 children had enrolled for the second
session of summer camp. If this represents 80% of the available slots, what
is the maximum number of children the camp can enroll for the second
session?
Answer:
115 children
Step-by-step explanation:
Please see the attached picture for the full solution.
8. Fay Teng's expenditures for the past 3 months were: August,
$1,735.50; September, $1,829.42; and October, $1,793.88.
What is her average monthly expenditure?
9. You use the utility company's budget plan for paying your
home heating bills. You pay $75 a month for 9 months. Your
actual bills are: September, $28.95; October, $16.15; November,
$68.46; December, $109.34; January, $115.26; February. $94.19;
March $75.66; April, $51.97; and May, $49.16. Compute the
average for the 9 months.
ght The McGraw-e Companies, Inc. All rights
=$75.66 all in all and $67.99 dollars
Research shows that many banks are unwittingly training their online customers to take risks with their passwords and other sensitive account information, leaving them more vulnerable to fraud (Yahoo, July 23, 2008). Even web-savvy surfers could find themselves the victims of identity theft because they have been conditioned to ignore potential signs about whether the banking site they are visiting is real or a bogus site served up by hackers. Researchers at the University of Michigan found design flaws in 78% of the 214 U.S. financial institution websites they studied.
Required:
Is the sample evidence sufficient to conclude that more than three out of four financial institutions that offer online banking facilities are prone to fraud? Use a 5% significance level for the test.
Answer:
Decision rule
Fail to reject the null hypothesis
Conclusion
The sample evidence is not sufficient to conclude that more than three out of four financial institutions that offer online banking facilities are prone to fraud.
Step-by-step explanation:
From the question we are told that
The sample size is n = 214
The sample proportion is p = 0.78
The level of significance is [tex]\alpha = 0.05[/tex]
Generally the population proportion is mathematically represented as
[tex]p = \frac{3}{4} =0.75[/tex] (gotten from the statement ''three out of four'' in the question)
The null hypothesis is [tex]H_o : p = 0.75[/tex]
The alternative hypothesis [tex]H_a : p > 0.75[/tex]
Generally the test statistics is mathematically represented as
[tex]z = \frac{\^{p} - p}{ \sqrt{\frac{p(1-p)}{n} } }[/tex]
=> [tex]z = \frac{0.78- 0.75}{ \sqrt{\frac{ 0.75(1-0.75)}{214} } }[/tex]
=> [tex]z = 1.01[/tex]
Generally the p-value is mathematically represented as
[tex]p-value = P(Z > z )[/tex]
=> [tex]p-value = P(Z > 1.01 )[/tex]
From the z-table
[tex]P(Z > 1.01 ) = 0.15625[/tex]
So
[tex]p-value = 0.15625 [/tex]
From the obtained values we see that [tex]p-value > \alpha[/tex] hence we fail to reject the null hypothesis
Therefore we can conclude that the sample evidence is not sufficient to conclude that more than three out of four financial institutions that offer online banking facilities are prone to fraud.
Determine if the sequence below is arithmetic or geometric and determine the common difference/ratio in simplest form
12,6,3
Answer:
The sequence is geometric
The common ratio is 0.5
Step-by-step explanation:
In the arithmetic sequence, there is a common difference between each two consecutive terms
In the geometric sequence, there is a common ratio between each two consecutive terms
Let us check the given sequence
∵ The first 3 terms are 12, 6, 3
∵ 6 - 12 = -6
∵ 3 - 6 = -3
∵ There is no common difference between the consecutive terms
∴ The sequence is not an arithmetic sequence
∵ 6 ÷ 12 = 0.5
∵ 3 ÷ 6 = 0.5
∴ There is a common ratio between each two consecutive terms
∴ The sequence is a geometric sequence
∴ The common ratio is 0.5
Given sequence is geometric sequence and common ratio between consecutive term is [tex]\frac{1}{2}[/tex] .
In Arithmetic sequence , common difference between consecutive terms should be equal.
In Geometric sequence, common ratio between consecutive terms should be equal.
Given sequence, 12, 6, 3, ...
Since, common difference = [tex]6-12\neq 3-6[/tex] , this is not arithmetic sequence.
Common ratio = [tex]\frac{6}{12}=\frac{3}{6}=\frac{1}{2}[/tex] Because common ratio is are equal. Thus, given sequence is geometric sequence.
Learn more about sequence here :
https://brainly.com/question/17648677
Given g(x) = –2x – 1, find g(1).
Answer:
-3
Step-by-step explanation:
g(1)=-2-1
g(1)=-3
Brainliest appreciated!
Write down the gradient of the line y =-4r+7.
Simplify the complex fraction. 8/5 divide by 6 3/4 *
Step-by-step explanation:
[tex]\frac{8}{5}[/tex]÷6[tex]\frac{3}{4}[/tex]
First, simplify the 6[tex]\frac{3}{4}[/tex] to an improper fraction, which is:
[tex]\frac{27}{4}[/tex]
Next rewrite the equation using the improper fraction:
[tex]\frac{8}{5}[/tex]÷[tex]\frac{27}{4}[/tex]
Now, in order to divide the fraction, we will need to flip the second fraction over, and then multiply the two fractions together. A great way to remember this is the phrase Copy Dot Flip - Copy the first fraction, put a dot for multiplication, and flip the second fraction.
[tex]\frac{8}{5}[/tex]·[tex]\frac{4}{27}[/tex]
Finally, multiply together and simplify/reduce if needed:
The final answer is [tex]\frac{32}{135}[/tex] and no simplification or reduction is needed
An environmental engineer is tasked with determining whether a power plant cooling system is heating the water it uses more than allowed by environmental regulations. They measure water temperatures at the cooling system input and the cooling system output for several different days in several different seasons.A data file containing these measurements is HW_PTA 243.csv.Do a statistical analysis on this data to determine if the temperature change between the input and output of the cooling system is different than 6 degrees. What does your analysis indicate?
A) The cooling system changes the temperature of the water by an amount different than 6 degrees.
B) The cooling system changes the temperature of the water by 6 degrees.
Complete Question
The complete question is shown on the first , second and third uploaded image
Answer:
A
The correct option is A
B
The correct option is H
Step-by-step explanation:
The null hypothesis is [tex]H_o : \mu_1 - \mu_2 = 6[/tex]
The alternative hypothesis is [tex]H_a : \mu_1 - \mu_2 \ne 6[/tex]
The population mean difference is [tex]\mu_d = 6[/tex]
Generally the sample size is n = 15
Generally the sample mean for input temperature is mathematically represented as
[tex]\= x _1 = \frac{\sum x_i }{n}[/tex]
=> [tex]\= x _1 = \frac{57.6 + 68.9 + \cdots +60.4 }{15}[/tex]
=> [tex]\= x _1 = 62.57 [/tex]
Generally the sample mean for output temperature is mathematically represented as
[tex]\= x _2 = \frac{\sum x_i }{n}[/tex]
=> [tex]\= x _2 = \frac{65.1+ 74.4 + \cdots +67.3 }{15}[/tex]
=> [tex]\= x _2 = 55.97 [/tex]
Generally the sample mean difference is mathematically represented as
[tex]\= d = 62.57 - 55.97[/tex]
=>[tex]d = 6.6[/tex]
Generally the standard deviation is mathematically represented as
[tex]s_d = \sqrt{\frac{ \sum [d_1 - \= d]^2}{n-1} }[/tex]
=> [tex]s_d = \sqrt{\frac{ [ [57.6 -65.1]- 6.6]^2 +[68.9 -74.4]- 6.6]^2+\cdots + [60.4 -67.3]- 6.6]^2}{15-1} }[/tex]
=> [tex]s_d = 1.732 [/tex]
Generally the test statistics is mathematically represented as
[tex]t = \frac{6.6 - 6 }{\frac{1.732}{\sqrt{15} } }[/tex]
=> [tex]t = 1.342 [/tex]
Generally the degree of freedom is mathematically represented as
[tex]df = n - 1[/tex]
So
[tex]df = 15 - 2[/tex]
=> [tex]df = 14[/tex]
Generally the p-value is mathematically represented as
[tex]p-value = 2 * P(t > 1.342 )[/tex]
Generally from the t -distribution table the probability of 1.342 at a degree of freedom of [tex]df = 28[/tex] is
[tex]P(t > 1.342 ) = 0.10047[/tex]
So
[tex]p-value = 2 * 0.10047[/tex]
=> [tex]p-value = 0.201[/tex]
Generally from the value obtained we see that [tex]p-value > \alpha[/tex] Hence
The decision rule is
Fail to reject the null hypothesis
The conclusion is
The cooling system changes the temperature of the water by 6 degrees
A line has a slope of 9 what is the slope of a line it is perpendicular to this line? *
9
-9
1/9
-1/9
Answer: -1/9
Explanation: Perpendicular lines have negative reciprocal slopes.
A negative reciprocal slope is a fancy way of
saying flip the fraction and change the sign.
Notice that our slope is an integer.
We can turn it into a fraction by putting it over 1.
So we have 9/1.
A line perpendicular to this would be a negative reciprocal.
So flip the fraction, giving us 1/9, and change the sign to get -1/9.
For each of the following cases [(a), (b), and (c)], (I) state whether the study should be observational or experimental. (II) state whether the study should be run blind, doubleblind, or neither. If the study should be run blind or double-blind, who should be blinded?(a) An investigation of whether taking aspirin reduces one’s chance of having a heart attack.(b) An investigation of whether babies born into poor families (family income below $25,000) are more likely to weigh less than 5.5 pounds at birth than babies born into wealthy families (family income above $65,000).(c) An investigation of whether the size of the midsagittal plane of the anterior commisssure (a part of the brain) of a man is related to the sexual orientation of the man.
Answer:
(a) An investigation of whether taking aspirin reduces one’s chance of having a heart attack.
Experimental
Neither blind nor double-blind (unless a placebo is being administered to some participants).
(b) An investigation of whether babies born into poor families (family income below $25,000) are more likely to weigh less than 5.5 pounds at birth than babies born into wealthy families (family income above $65,000).
Observational
There is no blinding issue here.
(c) An investigation of whether the size of the midsagittal plane of the anterior commissure (a part of the brain) of a man is related to the sexual orientation of the man.
Observational
There is no blinding issue here.
Step-by-step explanation:
An observational study happens where some variables are observed to determine their correlations. On the other hand, in experimental studies, the researcher controls certain variables to determine causality. Therefore, an experimental study provides evidence of cause and effect, like in (a) above.
Points that do not lie in the same plane are called________points
Answer:
non - collinear points
Step-by-step explanation:
points that dont lie on the same line
Which expression is equivalent to |-5| + |-3|
Answer:
5+3
Step-by-step explanation:
5+3
Answer:
5+3=8
Step-by-step explanation:
Factorise fully
-y - 6
this is my last question for today, right answer will be marked brainiest
Answer:
[tex]-(y+6)[/tex]
Step-by-step explanation:
[tex]-y-6\\\\=-(y+6)[/tex]
Answer:
-(y+6)Step-by-step explanation:
[tex] - y - 6[/tex]
Common factor : -1
[tex] - 1(y + 6) = \\ - (y + 6)[/tex]
9. Determine whether KM and ST are parallel, perpendicular, or neither. K(-1, -8), M(1,6), S(-2,-6), T(2, 10) A Parallel B Perpendicular C Neither Hint(use slope formula)
NEED A MATH TUTOR ASAP !!!
tim has $20 in a savings account. The interest rate is 10% per year and is not compounded. How much will he have in 1 year ?
Answer:
$22
Step-by-step explanation:
20 * 1.10 = 22
What is the value of p?
p+2−4=14
Drag and drop the correct answer in the box.
p = Response area
Answer: p=16
Step-by-step explanation:
Use long division to find the quotient below.
(16x3 + 40x2 + 72) - (2x+6)
A. 8x2 + 3x + 12
O B. 8x2 - 4x + 12
C. 8x2 + 5x + 12
D. 8x2 - 6x + 12
If Jan is 3 years older now than Dale was 2 years ago, then Jan is how many older than Dale is right now.
A) 1 year
B) 2 years
C) 3 years
D) 5 years
SHOW YOUR WORK! PLEASE HELP ASAP.
ITS REALLY SIMPLE PLEASE HELP DONT IGNORE
Xavier is solving a problem on the whiteboard as shown.
Part A. Is Xavier's solution correct? If not, identify where he made an error.
Part B. Solve 7950 divided by 25.
Let us see how we can solve this step by step each :
6417 ÷ 31 , we divide 64 by 31 and get the resulting quotient as 2 .
Then we bring down 1 . So , the number below is 21 , which cannot be divided by 31 .
So , we will have to bring down 7 for which we have to add a 0 to the quotient . Then the quotient will become 20 as of now .
As 217 is divisible by 3 , I put seven near 21 , making the quotient as 217 and get the remainder 0 .
Hence in the correct solution the correct quotient = 207 .
In Xavier's solution :But the same thing has not been done in Xavier's solution as he has put a 0 after 7 instead of putting it before 7 . Hence , Xavier's mistake is that he put the 0 after 7 instead of putting it before 7 .
In Xavier's solution the quotient is = 270
Therefore , Xavier's mistake is that he put the 0 after 7 instead of putting it before 7 .
a block is 12 g and volume is 6 what is the density
Answer: c.)2 g/ml is the correct answer.
A circle has a diameter of 60m. What is its circumference?
Name the slope and one point that is on the line
represented by the equation: y-6 = 9(x - 1)
A) m = -9 and point (-1,-6)
B) m = 9 and point (-1,-6)
C) m = 9 and point (1,6)
D) m = -9 and point (1,6)
Answer:
B
Step-by-step explanation:
the correct answer is b
9=2m+2-3
please tell me what dis is
Answer:
m=5
Step-by-step explanation:
Answer:
5
Step-by-step explanation:
Step 1:
9 = 2m + 2 - 3 Equation
Step 2:
9 = 2m - 1 Combine Like Terms
Step 3:
10 = 2m Add 1 on both sides
Step 4:
m = 10 ÷ 2 Divide
Answer:
m = 5
Hope This Helps :)
Please answer this correctly without making mistakes
Answer: 96%
1 square represent 1%
Answer:
96 present
Step-by-step explanation:
what number is 1/10 of 8000000
Answer:
800000
Step-by-step explanation:
Chris drove 265 miles using 10 gallons of gas. At this rate, how many gallons of gas would he need to drive 424 miles?
Answer:16
Step-by-step explanation:
265 / 10= 26.5 miles per gal.
424 miles / 26.5 mpg = 16 gallons
Yoko made $306 for 18 hours of work.
At the same rate, how much would she make for 8 hours of work?
What’s the answer I need help
Answer:
$136.
Step-by-step explanation:
Divide how much they made by the # of hours. 306/18=17. Multiply the amount per hour 17 by the 8 hours of work. 17x8=136.
Water flows back and forth between a small and large tank. When water is moving into a tank the flow rate is
positive, and when water is moving from a tank the flow rate is negative. The large tank begins with 300 gallons of
water, and the small tank begins with 200 gallons of water. After a period of 5 minutes, the large tank has the same
amount of water as the small tank. Which statement describes the flow rate?
The flow rate of the large tank is 10 gal/min, and the flow rate of the small tank is -10 gal/min.
O The flow rate of the large tank is -10 gal/min, and the flow rate of the small tank is 10 gal/min.
The flow rate of the large tank is 20 gal/min, and the flow rate of the small tank is -20 gal/min.
The flow rate of the large tank is -20 gal/min, and the flow rate of the small tank is 20 gal/min.
Save and Exit
Answer:
D. The flow rate of the large tank is -20 gal/min, and the flow rate of the small tank is 20 gal/min.
Step-by-step explanation:
Flow rate = [tex]\frac{gallons of water}{minute}[/tex]
flow rate of water in the big tank = [tex]\frac{300}{5}[/tex]
= 60 gallons/minute
flow rate in the smaller tank = [tex]\frac{200}{5}[/tex]
= 40 gallons/minute
The difference in flow rate between the tanks = 60 - 40
= 20 gallons/minute
Since the two tanks have the same amount of water after the given time, then the volume of water in the large tank decrease; while the volume of water in the small tank increased.
Therefore, the flow rate of the large tank is -20 gal/min, and the flow rate of the small tank is 20 gal/min. This shows that option D is correct.
Answer:
B
Step-by-step explanation:
took the quiz
Can someone please help me with this question (there are more questions like this that I will post later, if your answer is correct I will give you brainliest)
Answer:
1. alterative exterior angles.
Step-by-step explanation:
I don't know what the rest of the other options are. So I can't answer the rest.