Answer:
The 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:
In this case we need to test whether the proportion of people who can correctly match a dog to their owner (out of two options) is better than just guessing.
The hypothesis can be defined as follows:
H₀: The proportion of people who can correctly match a dog to their owner is 50%, i.e. p = 0.50.
Hₐ: The proportion of people who can correctly match a dog to their owner is more than 50%, i.e. p > 0.50.
The information provided is:
[tex]x=14\\n=16[/tex]
The sample proportion is:
[tex]\hat p=\frac {x}{n}=\frac{14}{16}=0.875[/tex]
Compute the test statistic value as follows:
[tex]z=\frac{\hat p-p}{\sqrt{\frac{p(1-p)}{n}}}[/tex]
[tex]=\frac{0.875-0.50}{\sqrt{\frac{0.50(1-0.50)}{16}}}\\\\=3[/tex]
The test statistic value is 3.
The decision rule is:
The null hypothesis will be rejected if the p-value of the test is less than the significance level.
Compute the p-value as follows:
[tex]p-value=P(Z>3)\\\\=1-P(Z<3)\\\\=1-0.99865\\\\=0.00135\\\\\approx 0.0014[/tex]
The p-value is, p-value = 0.0014.
The p-value of the test is very small for all the commonly used significance level. The null hypothesis will be rejected.
Thus, there is not enough evidence to support the claim.
Conclusion:
The proportion of people who can correctly match a dog to their owner (out of two options) is better than just guessing.
There are 785 people seated in a large cafeteria. Six people can sit at each table. How many tables are in the cafeteria?
What is the equation of the line that passes through the point (3,2) and has a slope of -2?
Answer:y=-2x+8
You have to plug it into the equation y-k=m(x-h) where k is the 2 of (3,2) and m is the slope and h is the 3 of (3,2)
Raul and Ivan each make a number pattern, as described.
• Raul's pattern: start with 15, add 2
• Ivan's pattern: start with 11, add 3
What number in Raul's pattern and in Ivan's pattern is the same in a pair of corresponding terms?
(A) 17
(b) 21
(C) 23
(D) 26
23
26
Answer:
Option C. 23
Step-by-step explanation:
To know the correct answer to the question given above, let us determine the sequence of Raul and Ivan. This is illustrated below:
From the question given above,
Raul's pattern: start with 15, add 2
Ivan's pattern: start with 11, add 3
For Raul:
Raul's pattern: start with 15, add 2
1st term = 15
2nd term = 15 + 2 = 17
3rd term = 17 + 2 = 19
4th term = 19 + 2 = 21
5th term = 21 + 2 = 23
6th term = 23 + 2 = 25
For Ivan:
Ivan's pattern: start with 11, add 3
1st term = 11
2nd term = 11 + 3 = 14
3rd term = 14 + 3 = 17
4th term = 17 + 3 = 20
5th term = 20 + 3 = 23
6th term = 23 + 3 = 26
Summary
Term >>>>> Raul >>>>>> Ivan
1 >>>>>>>>> 15 >>>>>>>> 11
2 >>>>>>>>> 17 >>>>>>>> 14
3 >>>>>>>>> 19 >>>>>>>> 17
4 >>>>>>>>> 21 >>>>>>>> 20
5 >>>>>>>>> 23 >>>>>>>> 23
6 >>>>>>>>> 25 >>>>>>>> 26
From the calculations made above, we can see that in the 5th term, both Raul and Ivan has the same number as 23.
(1 point)
Calculate the directional derivative of f(x, y) = cot-'(xy) in the direction of v = -4i + 5j at the point P = (0.5, 0.5).
Remember to normalize the direction vector.
DS(0.5, 0.5) =
Looks like f(x, y) = cot⁻¹(xy), as in the inverse cotangent.
If you're like me and you don't remember the derivative of the inverse trig functions, we can derive it as follows. Let y = cot⁻¹(x), so that for appropriate x we can write cot(y) = x. By the chain rule, differentiating both sides gives
-csc²(y) y' = 1
y' = -sin²(y) = -sin²(cot⁻¹(x)) = - 1 / (x² + 1)
Next, recall that the derivative of a function f(x, y) at a point (a, b) in the direction of a vector v is given by
∇ f(a, b) • v
Compute the gradient ∇ f(x, y) :
∇ f(x, y) = - y / ((xy)² + 1) i - x / ((xy)² + 1) j
At the point P, we have
∇ f(x, y) = - 8/17 i - 8/17 j
So, the derivative of f at P along v = - 4 i + 5 j is
(- 8/17 i - 8/17 j) • (- 4 i + 5 j) = - 8/17
What percent is equivalent to 1/25
Answer:
4%
Step-by-step explanation:
Step 1:
1/25 = 4/100 Convert Fraction
Step 2:
4/100 = 0.04 Divide by 100
Step 3:
0.04 = 4% Convert
Answer:
4%
Hope This Helps :)
Andre paid $13 for 3 books. Diego bought 12 books priced at the same rate.
How much did Diego pay for the 12 books?
the area of this figure is? sq meters
Answer:
The figure was not included in your question?
At 6th grade camp there are 6 boys for every 5 girls. There are a total of 176 kids at camp. Daniel is trying to use a tape diagram to figure out how many boys will be at camp. If there are a total of 176 kids at 6th grade camp, how many boys will be at camp?
pls help i am in a hurry
Answer:
9d2nxdc
Step-by-step explanation:
??????????
Determine x:
X
2
47°
3. How many subsets will the set below have?
T= {Monday, Tuesday, Wednesday, Thursday, Friday)
A5
B. 10
C. 32
D.64
Explanation:
There are n = 5 items in set T
This means there are 2^n = 2^5 = 32 subsets
Help Asap
Phone company 1 offers a plan that costs 35.99 and includes unlimited texting, phone company 2 offers a plan that costs 19.99 and charges 0.25 per text
For what number of texts does the 2nd phone company plan cost more than the 1st phone company
Write and solve an inequality that models this situation. define your variables.
Answer:
at 65 texts , co 2 costs more
19.99 + .25x > 35.99
x= number of texts
Step-by-step explanation:
19.99 + .25x = 35.99
x= number of texts
.25x= 35.99-19.99
.25x=16
x=16÷.25
x=64
The length of a new rectangular playing field 4 yards longer than double the width. If the perimeter of the rectangular playing field is 344 yards, what are it’s dimensions?
Answer:
Hi There!
Your answer is:
Length = 116
Width = 56
Step-by-step explanation:
L= 4+ 2w
Width=w
perimeter formula
l+l+w+w= perimeter
Subsitute L for 4+2w
(4+2w)+(4+2w) + (w) + (w) = 344
8 +4w+w+w = 344
8+ 6w = 344
-8
6w = 336
/6
w= 56
PLUG BACK IN!
Length = 4+ 2w
Length = 4+ 2(56)
Length = 116
Width = 56
CHECK YOUR WORK
116+116+56+56= 344???
344 = 344 YES
HOPE THIS HELPS
a machine in a factory makes 20 gadgets every 1/4 hour. How many gadgets are made every hour?
Answer:
80 machines
Step-by-step explanation:
If a machine makes 20 gadgets every fourth (1/4) of an hour, it makes 80 machines every hour (20*4).
80 machines gadgets are made every hour.
What is multiplication?In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.
Here, given that,
A factory makes 20 gadgets every 1/4 hour.
So, in an hour made = 20÷1/4 machines
=20×4
=80
i.e. If a machine makes 20 gadgets every fourth (1/4) of an hour,
it makes 80 machines every hour (20*4).
Hence, 80 machines gadgets are made every hour.
To learn more on multiplication click:
brainly.com/question/5992872
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Elena wants to make a scale drawing of her bedroom. Her bedroom is a rectangle with length 500 cm and width 300 cm. She decides on a scale of 1 to 50.
b. Elena's bedroom door is 80 cm wide. How wide should the door be on the scale drawing? Explain your reasoning.
(*Hint #1* a good explanation uses Words, Numbers, or Pictures to justify your thinking).
Which is the solution set of the inequality 15 y minus 9 less-than 36
Answer:
Someone hurry and help me and this person answer this becuase this s on my test and we need help
Step-by-step explanation:
Answer:
C. y<3
Step-by-step explanation
got it right on edge
what is the area of the arrow shown?
what arrow i do not see any picture
Answer:
80 in
Step-by-step explanation:
THIS IS URGENT! PLZ HELP!
Answer:
73
Step-by-step explanation:
Answer:
73
Step-by-step explanation:
[tex]8^2[/tex] is 64. [tex](7-4)^2[/tex] is the same as [tex]3^2[/tex] which is 9. 64+9=73. Here, for [tex](7-4)^2[/tex] , we can evaluate the part inside the bracket first. And 7-4=3.
-7 w 2 + 2w (if w=-4)
Answer:
48
Step-by-step explanation:
plug in -4 for W
if you mean times 2 not plus after -7w
-7(-4) (2) + 2(-4) =
28(2) - 8 =
56-8=
48
The list below shows the number of magazines a bookstore sold each day during one week.
5, 6, 8, 9, 6, 10, 7
What is the median number of magazines sold during the week?
A. 6
B. 7
C. 9
D. 10
Answer:
7
Step-by-step explanation:
You have to but the numbers in order than you cross each of the ends until you get the middle number/median
Answer: 9
Step-by-step explanation:
The median in math is basicly the middle of the list. First, put the list in order from least to greatest. Then, find the middle. If there is no middle, add the two numbers in the middle. Add them together, and divide the sum by two. The quotient is the median.
In this case, there is a middle. The middle is nine. Nine is the median.
Betty ran 20 miles in 180 minutes. At this rate, how many miles could she run in 260 minutes?
Answer:
40 miles in 260 minutes
Step-by-step explanation:
Answer:
28.8 miles
Step-by-step explanation:
Find the Greatest Common Factor and Least Common Multiple for 20 and 8. GCF is LCM
Answer:
GCF= 4 LCM=40
Step-by-step explanation:
Factors of 8:1,2,4,8
Factors of 20:1,2,4,5,10,20
Greatest common factor is 4 because it is the highest factor in both sets.
Multiples of 8:8,16,24,32,40,48,56,64,72,80...etc
Multiples of 20:20,40,60,80,100,120,140...etc
Lowest common multiple is 40 because it is the lowest multiple in both sets.
Solve x^2 - 4x +18= 0 by completing the square.
Answer:
Your answer is: x = 2 ± i√14
Step-by-step explanation:
Hope this helped : )
3x² + 2x + 2 + 4x² + 5 Simplify
Answer: 7x^2 + 2x + 7
Step-by-step explanation:
Combine likes terms that have alike variables and alike exponents.
(3x^2 + 4x^2) + (2x) + (2 + 5)
7x^2 + 2x + 7
What is the slope of the line whose equation is 5x+2y=10 ?
A. 2/5 C. -2/5
B. 5/2 D. -5/2
Please Help!!
Answer:
D
Step-by-step explanation:
You can rewrite the equation into slope intercept form and you get Y=10-5x/2 (The whole problem is being divided by 2).
You can leave -5/2 as it is because it's a lot easier to plot the point using Rise over Run or Rise/Run.
Hope this helps! :)
Which expression is equivalent to -51 - (-60)?
Answer:
The answer is 9.
Step-by-step explanation:
I had the question on one of my quizzes.
I need help with #7 #11 #12 #13 and #14 please and ASAP
Answer:
54°
Step-by-step explanation:
Since m<2 + m<1 is equal to 180, we can set up the equation to find m<1.
plug in 126 as m<2, so we get
126 + m<1 = 180
-126 -126
m<1 = 54.
From this knowledge, we know that
7.) 54°
8.) 126°
9.) 54°
10.) 126°
11.) 54°
12.) 126°
13.) 54°
14.) 126°
if a man pay #357 for a book,how much will he pay for 78 books?
Answer: 27,846
Step-by-step explanation: 357 x 78 = 27,846
Answer:
$27846
Step-by-step explanation:
One book cost = $357
So, for 78 books, it will be $357 * 78
=> $27846
If my answer helped, kindly mark me as the brainliest!!
Thanks!!
Find two consecutive whole numbers that 63 lies between.
Answer:
They are 62 and 64.
What is the measure of ZA degrees?
Answer:
Since this is an isosceles triangle, the angles opposite to the equal sides will also be equal
Therefore,
angle ABC = angle ACB
We are given that angle ACB is 30 degrees
Hence, angle ABC = 30 degrees
We know that according to the angle sum property, the sum of all interior angles of a triangle is 180 degrees
So, angle ABC + angle ACB + angle CAB = 180 degrees
replacing the variables with values we already know
30 + 30 + angle CAB = 180
angle CAB = 180 - 60
angle CAB = 120 degrees
Hence the measure of angle A is 120 degrees
The grap
The graph below represents the distance Manuel walks over several hours.
Which is an ordered pair on the line?
(2.5, 14)
(2.5, 14)
(1.25, 5)
(1.25, 5)
(2.25, 12)
(2.25, 12)
(1.5, 9)
Answer:
The answer is 1.5, 9
Step-by-step explanation:
If you can see the graph the speed increases
The ordered pair on the line (1.5, 9). The correct answer would be an option (D).
What is an ordered pair?An ordered pair is made up of two components isolated by a comma and put inside parentheses. (x, y) indicates an ordered pair, where 'x' is the first component and 'y' is the second component in the ordered pair.
The graph below represents the distance Manuel walks over several hours.
The first and second options are not accurate since the distance is measured in miles up to 10 miles, hence the options can't be correct
The correct answer is option D since the value at t = 1.5 is equal to 9 miles
Thus, the ordered pair is on the line (1.5, 9).
Hence, the correct answer is an option (D)
Learn more about the set of ordered pairs here:
https://brainly.com/question/10197233
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The question seems to be incomplete the missing figure has been attached below.