Answer:
The decision rule is
Reject the null hypothesis
The conclusion is
There is sufficient evidence to conclude that the population proportion of people who can correctly match a dog to their owner (out of two options) is better than just guessing
Step-by-step explanation:
From the question we are told that
The sample size is n = 16
The population proportion = 0.5
The number that of students that picked out the teachers dog is k = 14
Generally the sample proportion is mathematically represented as
[tex]\^ p =\frac{k}{n}[/tex]
=> [tex]\^ p =\frac{14}{16}[/tex]
=> [tex]\^ p = 0.875 [/tex]
The null hypothesis is [tex]H_o : p = 0.5[/tex]
The null hypothesis is [tex]H_o : p > 0.5[/tex]
Generally the test statistics is mathematically represented as
[tex]z = \frac{\^ p - p }{\sqrt{ \frac{p(1- p )}{n} } }[/tex]
[tex]z = \frac{0.875 - 0.50 }{\sqrt{ \frac{0.50 (1- 0.50 )}{16} } }[/tex]
[tex]z = 3[/tex]
Generally the p-value is mathematically represented as
[tex]p-value = P(Z > 3)[/tex]
From the z table the probability of Z>3 is mathematically represented as
[tex]P(Z > 3) = 0.0013499[/tex]
So
[tex]p-value = 0.0013499 [/tex]
Let assume the level of significance is [tex]\alpha = 0. 05[/tex]
Generally from the value obtained we see that [tex]p-value < \alpha[/tex] Hence
The decision rule is
Reject the null hypothesis
The conclusion is
There is sufficient evidence to conclude that the population proportion of people who can correctly match a dog to their owner (out of two options) is better than just guessing
HELP ASAP Members of the school orchestra are organizing a trip to a concert. If tickets cost $14 each, how many tickets can be purchased with $500? please show work i will make you brainlist
Answer:
you can have 35 tickets
Step-by-step explanation:
The angle measures of triangle QRS are given:
The measure of angle Q is (5x−15)°.
The measure of angle R is 75°.
The measure of angle S is (3x)°.
What is the value of x?
Answer:
x = 15°
Step-by-step explanation:
(5x-15) + 75 + 3x = 180
8x + 60 = 180
8x = 120
x = 15°
A circle has a diameter of 60m. What is its circumference?
Assuming part a is correct, how do you do b and c?
Step-by-step explanation:
B. Yes, we are 99% confident that the population mean is within the interval.
C. Yes, 225 is below the interval minimum, so it is reasonable to conclude the average cholesterol level is greater than 225 mg/dl.
D. No. Increasing the sample size would decrease the margin of error, so the ends of the interval would move closer to the sample mean of 251.9. So the interval minimum would still be higher than 225.
1079 divided by 4 Yeah Also whoever helps thank you :D
Answer:
269.75
Hope this helps:)
Step-by-step explanation:
Help me please!!!!!!!!
Step-by-step explanation:
To solve the equation for s we've got to leave s alone
[tex]n = \frac{s + 360}{180} \\ 180n = s + 360 \\ 180n - 360 = s[/tex]
Jana and Jenn are training to run a race. Jana runs 3 miles in 1/3 hour. Jenn runs 5 miles in 3/4 hour. Who runs faster, and what is the unit rate of her speed in minutes per mile?
Answer:
Jenn runs faster at 9 minutes/mile.
Step-by-step explanation:
Jana runs 3 miles in 1/3 hour.
1/3 hour is equivalent to 1/3*60 = 20 minutes
The ratio time/distance is the reciprocal of the speed and is greater as the speed is lower and vice-versa.
This ratio for Jana is 20/3=16.7 minutes/mile
As for Jenn, she runs 5 miles in 3/4 hour.
3/4 hour is equivalent to 3/4*60=45 minutes
The ratio time/distance is 45/5=9 minutes/mile
Since Jenn has a lower ration, her speed is greater than Jana's, thus Jenn runs faster.
Find the length of the side x in simplest radical form with a rational denominator.
Answer:
2.449489743
Step-by-step explanation:
-6(x - 6) = x(16 - 7)
Help please
Answer:
the answer would be x equal 2.4
Step-by-step explanation:
sorry for my bad handwriting
3x - 4 < 8 and 2x+ 2 > 4
20 points crq
Answer:
x<4 and x>1
Step-by-step explanation:
1) 3x-4<8
Add 4 to both sides first to isolate x.
3x-4<8
+4 +4
3x<12
Divide both sides by 3.
3x<12
/3 /3
x<4
2) 2x+2>4
Subtract both sides by 2 to isolate x.
2x+2>4
-2 -2
2x>2
Divide both sides by 2.
2x>2
/2 /2
x>1
Hope this helped!! Have an amazing day :3
miles say that, when a is any integer greater than 0, the value of a^-3 is always less than -a^3 because the exponent in a^-3 is less than the exponent in -a^3. is miles reasoning correct?
HELP WITH 4. AND 5. Thanks in advance
IF YOU ARE REALLY GOOD AT MATH PLEASE HELP ASAP!! Select all the correct answers on the table
1. I mark as brainliest
Answer:
d
Step-by-step explanation:
YOU ARE GIVEN AN APPLE AS A WEAPON...WHAT DO YOU DO NEXT?
(A) Keep the doctor away?
(B) Throw it hard enough to keep people away
DAILY DOSE OF MEMES TRY NOT TO OD PEEEPS
Answer:
a
Step-by-step explanation:
If you make your enemy's doctor away he will die of sickness
Use polynomial identities to prove that 63^2=(60+32)^2
Answer:
Step-by-step explanation:
I'm not sure, but I think you mean
63^2 = 3969
60^2 = 3600
2*3 * 60 = 360
3^2 9
Total = 3969
This comes from x^2 + 2*x*y + y^2
where
x = 60
y = 3
Priya bought x grams of flour. Clare bought 3/8 more than that.
Select all equations that represent the relationship between the amount of flour that Priya bought, x and the amount of flour that Clare bought, y
a) y= 3/8x
b) y = 5/8x
c) y= x+ 3/8x
d) y= x - 3/8x
e) y= 11/8x
Answer:
It would be C and E
Step-by-step explanation:
I know I'm extremely late but for anyone else who needs to know here you go :)
5/6x-7/6=8 what Is the value of x
Answer:
x=11
Step-by-step explanation:
QUICK plzzzz. Don’t worry about the other questions just plz answer 17 for me :)
Answer:
a) Vf = at + Vi
b) 10 m/s
Step-by-step explanation:
Part A:
first bring the t to the other side, when doing this the t will become a numerator: at= Vf-Vi
now bring the Vi over to the other side and flip the sign: at + Vi = Vf
this can be rewritten as Vf = at + Vi
Part B:
substitute the numbers: Vf = (2)(3) + 4
solve to get: Vf = 10 m/s
PLASE ANSWER THIS!! MARKING BRAINLEIST
1. 59049
2. a^12
3. 8a^6
4. 16a^ 10 b^6
5. 9a^4
6. s^6 t^12
7. s^5 / t^5
8. 6561
9. s^2 t^8 / r^2
10. 81a^2 b^6
Un automóvil recorre 1000 Km y consume 95 L de gasolina. Si la gasolina tiene un precio de $18.75 por cada litro ¿cuánto cuesta recorrer cada Km, en $/Km? (redondear a tres decimales)
Answer:
$1781.25
1 x 95= 95
18.75 x 95= 1781.25
The temperature at 4:00 p.m. was 2.5'F. It
dropped 0.75°F each hour for the next 4 hours.
What was the temperature at 8:00 p.m.?
Answer:-0.5; 0.75*4=3, 2-3=-0.5
Step-by-step explanation:
Answer:
-0.5...............
Factor completely n2+3n+2
Helppppp plsss?!?!?!?!?!
Answer:
153.86
Step-by-step explanation:
3.14 x 7 x 7=153.86
Judge the following reasoning as true or false.
You are working for a tech company. You came up with an algorithm that performs a needed operation on n inputs in order of n operations. Someone else in the company simultaneously came up with an algorithm that performs the same task in order of log(n) operations. Then it follows necessarily that your algorithm will require more operations to perform this task and is therefore inferior and should not be used.
a) true
b) false
Answer: B
Step-by-step explanation:
Question 1/ Which of the following describes the slopes of parallel lines? 1. same slope 2. zero slopes 3. different slopes 4. have no slope
Question 2/ what is the slope of the line represented by y = -5x + 2?
Question 3/ which of the following would be parallel to the graph of 2x -3y = 18?
Question 4/ What is the slope of the line that is parallel to the graph of y = -4x - 12
You and your friends decide to play video games online together on Saturday. One particular game charges a one-time fee of $10 to download and $3.50 per hour of play.
1) Write an equation to represent this situation.
2) How much will it cost you to play the game for 5 hours? Show your work.
Answer:
Step-by-step explanation:
1. Let's see. One time $10 and $3.50 per hour. So $10+$3.50x(where x represents number of hours)
2. Put in the value of x(substitute it).
$10+$3.50x
$10+$3.50(5)
$10+$17.50
Answer-$27.50
Hope it helps!
Question 3 of 12
A jeweler needs exactly 19,000 beads to make jewelry.
He buys 48 boxes of beads. Each box has 400 beads.
He completes the calculations below and concludes that he has bought enough boxes of beads to make all of the jewelry.
48
×
400
=
(
40
×
400
)
+
(
8
×
400
)
=
16
,
000
+
3
,
200
=
19
,
200
Which explains what the jeweler does to support his conclusion
Answer:
See explanation
Step-by-step explanation:
Given
[tex]Needed = 19000[/tex]
Required
Support the jeweler's conclusion
From the question, we have that:
[tex]Boxes = 48[/tex]
[tex]Bead = 400[/tex] per box
So, he bought a total of:
[tex]Total = 48 * 400[/tex]
[tex]Total = 19200[/tex]
Since, he needed exactly 19000 and he has 192000, we can conclude that he has enough beads
is this correct or not
Answer:
yes it is u did a good job
What are the factors of x2+3x-40