Answer:
The calculated value Z = 1.183 < 1.96 at 0.05 level of significance
Null hypothesis is accepted
A particular greyhound breeder claims that her dogs are faster than the average greyhound
Step-by-step explanation:
Step(i):-
Given the average speed of greyhound dogs is about 18.4 meters per second.
Size of the sample 'n' = 35
mean of the sample x⁻ = 18.7
Population standard deviation = 1.5m/s
level of significance (∝) = 0.05
Step(ii):-
Null hypothesis : H₀ : μ = 18.4
Alternative hypothesis H₁ : μ ≠ 18.4
Test statistic
[tex]Z = \frac{x^{-} - mean}{\frac{S.D}{\sqrt{n} } }[/tex]
[tex]Z = \frac{18.7-18.4}{\frac{1.5}{\sqrt{35} } }[/tex]
Z = 1.183
Conclusion:-
The calculated value Z = 1.183 < 1.96 at 0.05 level of significance
Null hypothesis is accepted
A particular greyhound breeder claims that her dogs are faster than the average greyhound
given r,s, and p, which angle is not congruent to 4?
Answer:
Line R, S, and P are parallel lines meaning any lines that pass through them will form the same angles. Look at 4 and 2. One line is intersecting S and P to for the same angles. Corresponding angles in parallel lines which are formed by an intersecting line are equal. Therefore 4 and 2 are equal. That leaves B, C, and D left. 4 is also congruent to 5. This is because if 4 is congruent to 2 and 2 is congruent to 5 by vertical angles theorem, 5 must be equal to 4 (transitive property of equality: is a=b and b=c then a=c)
That leaves B and D left. Notice the angle made at the very top left. Across from that unlabeled angle is 6. By vertical angles theorem those 2 angles are congruent. The unmarked angle is equal to 2 and 4 because corresponding angles in parallels are congruent. Therefore lets mark that unmarked angle as 0. If the m< 6 = m< 0 and the m<0= the m<4 then m<6 must equal the m<4.
That leaves Just B remaining thus B is NOT congruent to 4
<3 is the answer
Step-by-step explanation:
this is an easy question so whoever is the first one who gets all of them I will make you the brainlist queen or King
Answer:
1. 3.87
2. 7.07
3. 69.89
4. 70.87
Step-by-step explanation:
given the area of a rectangle is 208 square inches, and given the length is 26 inches, find the width
Answer:
8
Step-by-step explanation:
208/26 = 8
CHECK
26x8=208
LxW=A
Solve the equation x2 + 4x + 4 = 0
Answer:
(
x
−
2
)
(
x
−
2
)
=
0
x
=
2
Explanation:
To factor the expression you need to find factors of 4 which add up to 4.
The signs will be the same (because of +4), they are both minus (because of -4x).
2
×
2
=
4
and
2
+
2
=
4
(
x
−
2
)
(
x
−
2
)
=
0
Now that we have the factors, we can solve:
If
x
−
2
=
0
, then
x
=
2
(Sorry if confusing, it wouldnt let me write it out how i wanted to..)
Find the value of x.
2x + 30
3x - 5
X - 15
X=
Answer:
x = 50Step-by-step explanation:
Angle 2x + 30 is exterior which is equal to sum of non-adjacent interior angles:
3x + 30 = 3x - 5 + x - 153x + 30 = 4x - 204x - 3x = 30 + 20x = 50PLSS HELP, show u work and I’ll give brainliest
Answer:
What's the question?
Step-by-step explanation:
Answer: Incomplete question?
Step-by-step explanation: is there any images attached? What is the question?
HURRY I HAVE TO DO MY TEST?!?!?!?!?Evelyn wants to enlarge a photo that measures 3 inches by 5 inches. A photo measures 3 inches by 5 inches. A larger photo measures x inches by 15 inches. What is the missing measurement, in inches, that Evelyn needs? 3 5 6
Answer:
the answer is 9
Step-by-step explanation:
Answer:
it is 9
Step-by-step explanation:
Evaluate and simplify the expression when a = 3 and b = 2. 3b-2(1 - b) a - 2 II [ ? ] Enter Copyright © 2003.2010
Correct question:
Evaluate and simplify the expression when a = 3 and b = 2,
given expression = 3b-2(1 - b)a - 2
Answer:
3b-2(1 - b)a - 2 at the given values is 10.
Step-by-step explanation:
Given;
3b-2(1 - b)a - 2
The expression is simplified as;
3b-2(1 - b) a - 2 = 3b - 2a(1 - b) - 2
= 3b - 2a + 2ab - 2
When a = 3 and b = 2; then, substitute these values in the simplified expression above;
3b - 2a + 2ab - 2 = 3(2) - 2(3) + 2(3 x 2) - 2
= 6 - 6 + 12 - 2
= 10
Therefore, 3b-2(1 - b)a - 2 at the given values is 10.
determine the value of sin○
Answer:
mera bahi mil nhi rha h abhay ko jante h
Answer:
sin([tex]\frac{7\pi }{4}[/tex] ) = -[tex]\frac{\sqrt{2} }{2}[/tex]
Step-by-step explanation:
If cos(theta) = [tex]\frac{\sqrt{2} }{2}[/tex], then theta should equal [tex]\frac{\pi }{4}[/tex] or [tex]\frac{7\pi }{4}[/tex] since both angles are on the right side of the origin, meaning the cosine would be positive. However, it states that the angle theta terminates at quadrant IV so the only angle that would meet this criteria is [tex]\frac{7\pi }{4}[/tex] .
So theta should equal [tex]\frac{7\pi }{4}[/tex] .
Now that we have theta, all you have to do is find the value of sine by plugging it in.
sin([tex]\frac{7\pi }{4}[/tex] ) = -[tex]\frac{\sqrt{2} }{2}[/tex]
You are given the following set of data. Its mean is 293.
225, 259, 306, 325, 350
If 25 is subtracted from each value, what will be the new mean?
A. 293
B. 268
C. 234
D. 200
Answer:
B. 268
Step-by-step explanation:
The new mean for the given data set can be obtained as 268.
How to calculate the average or mean?In order to calculate average, divide the total sum of the data to the total number of data. An average is a standard number for a given data whose value can both be more or less than it.
The given data is 225, 259, 306, 325, 350.
And, its mean is given as 293.
Here, the number of elements is 5.
If 25 is subtracted from each value, new mean can be evaluated as below,
New mean = (Old mean × 5 - 25 × 5)/5
⇒ (293 × 5 - 25 × 5)/5
⇒ 293 - 25 = 268
Hence, the new mean can be obtained as 268.
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what is the 784 time 7858
Answer:
784 x 7858 = 6160672
Step-by-step explanation:
Answer:
Step-by-step explanation:
6160,672
A study of the career paths of hotel general managers sent questionnaires to an SRS of 210 hotels belonging to major U.S. hotel chains. There were 108 responses. The average time these 108 general managers had spent with their current company was 8.8 years. (Take it as known that the standard deviation of time with the company for all general managers is 3.5 years.)
Required:
a. Find the margin of error for an 85% confidence interval to estimate the mean time a general manager had spent with their current company.
b. Find the margin of error for a 99% confidence interval to estimate the mean time a general manager had spent with their current company.
Answer:
a
[tex]E = 0.4850 [/tex]
b
[tex]E = 0.8689[/tex]
Step-by-step explanation:
From the question we are told that
The sample size is n = 108
The sample mean is [tex]\= x = 8.8 \ years[/tex]
The standard deviation is [tex]\sigma = 3.5[/tex]
From the question we are told the confidence level is 85% , hence the level of significance is
[tex]\alpha = (100 - 85 ) \%[/tex]
=> [tex]\alpha = 0.15[/tex]
Generally from the normal distribution table the critical value of [tex]\frac{\alpha }{2}[/tex] is
[tex]Z_{\frac{\alpha }{2} } = 1.44 [/tex]
Generally the margin of error is mathematically represented as
[tex]E = Z_{\frac{\alpha }{2} } * \frac{\sigma }{\sqrt{n} }[/tex]
=> [tex]E = 1.44 * \frac{ 3.5 }{\sqrt{108} }[/tex]
=> [tex]E = 0.4850 [/tex]
From the question we are told the confidence level is 99% , hence the level of significance is
[tex]\alpha = (100 - 99 ) \%[/tex]
=> [tex]\alpha = 0.01[/tex]
Generally from the normal distribution table the critical value of [tex]\frac{\alpha }{2}[/tex] is
[tex]Z_{\frac{\alpha }{2} } = 2.58 [/tex]
Generally the margin of error is mathematically represented as
[tex]E = Z_{\frac{\alpha }{2} } * \frac{\sigma }{\sqrt{n} }[/tex]
=> [tex]E = 2.58 * \frac{ 3.5 }{\sqrt{108} }[/tex]
=> [tex]E = 0.8689[/tex]
HELP PLEASE! IS THIS PROPORTIONAL??
Answer:
Porportional
Step-by-step explanation:
-1 x = -15 y
-7 x -15 = -105, correct
-9 x -15 = -135, correct
Because all are correct, this is porportional. This means that there is a unit rate and if this were graphed, the line would be straight.
I Hope That This Helps! :)
Here is a sequence: 500, 100, 20, . . . Explain why this sequence could be a geometric sequence.
A sequence is said to be Geometric sequence if there is a common ratio 'r' in each successive term and the previous term.
[tex]r=\frac{\text{Successive term}}{\text{Previous term}}[/tex]
Given sequence is,
500, 100, 20......
Ratio of 2nd and 1st term = [tex]\frac{100}{500}[/tex]
= [tex]\frac{1}{5}[/tex]
Ratio of 3rd and 2nd term = [tex]\frac{20}{100}[/tex]
= [tex]\frac{1}{5}[/tex]
Therefore, there is a common ratio 'r' = [tex]\frac{1}{5}[/tex]
And the given sequence will be geometric sequence.
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Math help!!! Answers to both 1&2?
Answer:
1. 1/3
2. 200
Step-by-step explanation:
A crew will arrive in one week and begin filming a city for a movie. The mayor is desperate to clean the city streets before filming begins. Two teams are available, one that requires 700 hours and one that requires 400 hours. If the teams work together, how long will it take to clean all of the streets? Is this enough time before the cameras begin rolling?
Answer:
I think you would add the numbers then divide by 2
Step-by-step explanation:
Please answer asap i will help back and give brainliest
Answer:
[tex] 24 \times c \\ \\ 24c[/tex]
Step-by-step explanation:
[tex]24 \times c \\ \\ 24c[/tex]
Belkis
On Sunday, a local hamburger shop sold a combined total of 432 hamburgers and cheeseburgers. The number of cheeseburgers sold was three times the
number of hamburgers sold. How many hamburgers were sold on Sunday?
hamburgers
$
?
Answer: 144 Hamburgers were sold on Sunday.
Step-by-step explanation:
Hamburgers: 432 ÷ 3 = 144
Chessburgers : 432 - 144 = 288
Select all equations that have the solution x = 7.
a. 2(x + 7) = 28
b. 6(2x - 1) - 12 = -2(x + 10)
c. 60 = 4(x + 8)
d. 3(x - 5) = 1 + 5(x - 6)
Answer:
The correct answer is A.
Step-by-step explanation:
1. 2(x+7)
2. 2(7+7)
3. 2(14)
4. 28
Hope this helps!
Answer:
a, c and d
Step-by-step explanation:
I need help answering this question
Answer:
[tex] x = 7 [/tex]
Step-by-step explanation:
Given that AB and BC are perpendicular, it follows that:
m<ABC = right angle = 90°
Thus:
[tex] 75 + (x + 8) = 90 [/tex] (angle addition postulate)
Solve for x
[tex] 75 + x + 8 = 90 [/tex]
[tex] 83 + x = 90 [/tex]
Subtract 83 from each side
[tex] 83 + x - 83 = 90 - 83 [/tex]
[tex] x = 7 [/tex]
What is the value of x?
Select the correct statement based on the relation shown above.
A)
The relation is a function because every element of the domain has exactly one corresponding element of the range.
B)
The relation is a function because every element of the range has been used.
C)
The relation isn't a function because not every element of the range has a corresponding element of the domain.
D)
The relation isn't a function because an element of the domain corresponds to two different elements of the range.
Answer:
The answer is D.
Step-by-step explanation:
hope that helps
Mrs. Culland is finding the center of a circle whose equation
is x2 + y2 + 6x - 4y – 3 = 0 by completing the square. Her
work is shown.
x2 + y2 + 6x + 4y - 3 = 0
x2 + 6x + y2 + 4y - 3 = 0
(x2 + 6x) + (12 + 4y) = 3
(x2 + 6x + 9) + (y2 + 4y + 4) = 3 + 9 + 4
Which completes the work correctly?
(x - 3)2 + ( - 2)= 42, so the center is (3,2).
(x + 3)2 + (y + 2)2 = 42, so the center is (3, 2).
(x - 3)2 + (x - 2)2 = 42, so the center is (-3,-2).
(x + 3)2 + (y + 2)2 = 42, so the center is (-3, -2).
Answer:
centre of circle (h,k) is (-3,-2)
Option D is Correct.
Step-by-step explanation:
The centre of circle can be found from the equation as:
[tex](x-h)^2+(y-k)^2=r^2 \ then \ (h,k) \ is \ center[/tex]
So, the steps then by Mrs Culland are:
[tex]x^2 + y^2 + 6x + 4y - 3 = 0\\x^2 + 6x + y^2 + 4y - 3 = 0\\(x^2 + 6x) + (y^2 + 4y) = 3\\(x^2 + 6x + 9) + (y^2 + 4y + 4) = 3 + 9 + 4[/tex]
The next step will be:
[tex](x + 3)^2 + (y + 2)^2 = 16[/tex]
I assume there is some calculating mistake in the given options. Instead of 42 there should be 16, according to solution shown above.
The general equation of circle is
[tex](x-h)^2+(y-k)^2=r^2 \ then \ (h,k) \ is \ center[/tex]
In our case: [tex](x + 3)^2 + (y + 2)^2 = 16[/tex]
h= -3 and k= -2, so the centre of circle (h,k) is (-3,-2)
Option D is Correct.
Answer:
D,,,, (x+3)²+(y+2)²=4², so the center is (-3, -2).
Step-by-step explanation:
PLEASE GUYS JUST HELPPP MEEE PLEASE
Answer:
Step-by-step explanation:
2. 27
3. 18
Answer:
s o w h a t y o u n e e d t o d o i s
Step-by-step explanation:
What is the solution for 7x-4=-18
Answer:
X=-2
add 4 to -18
divide -14 (from the previous step [-18+4]) by 7
-14/7 = -2 (from previous step [14/7 = 2, keep it negative])
X = -2 (x equals negative two)
The corner grocery sells a 5-pound bag of potatoes for $3.00, a 10-pound bag of potatoes for $5.50, and a 25-pound bag of potatoes for $12.00. If Jolene needs exactly 40 pounds of potatoes, what combination should she buy to spend the LEAST amount of money?
Answer:
(1)25 pound bag (2) 10 pound bags and(1) 5 pound bag
Step-by-step explanation:
Write an algebraic expression for the phrase 17 more than r.
Answer:
r+17
This equation is stating to write an expression (without an = sign. varies from an equation). It states that you need to write it as 17 more than r. This means 17 added on to r . r+17
Step-by-step explanation:
A circle has a diameter of 10 meters. What is the length of the arc subtended by a central angle of 4 radians.
A. 40 meters
B. 20 meters
C. 4 meters
D. 10 meters
Answer:
b
Step-by-step explanation:
The length of the arc subtended by a central angle of 4 radians = 20 m
Diameter of the circle = 10 m
Radius of the circle = 5 m
Central angle in radians = 4 radians
The length of arc for the circle can be determined by the formula as formulated in equation (1)
[tex]\rm L = Length\; of \; Arc \\\theta = Central \; Angle \; in \; radians \\r = Radius\; of\; the\; circle\\L = \theta \times r.......(1)[/tex]
From equation (1) we can write that
[tex]\rm L = 5 \times 4 = 20 \; m[/tex]
The length of the arc subtended by a central angle of 4 radians = 20 m
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ba + 3ca = -2
Solve for a
We have:
ba + 3ca = -2
Extract common factor "a":
a(b + 3c) = -2
Divide by the term (b + 3c):
[tex]a = \dfrac{-2}{b+3c}[/tex]
Find the average rate of change of g(x)= -4x^3+1 from x= -4 to x = 1
Answer:
[tex]Rate = -52[/tex]
Step-by-step explanation:
Given
[tex]g(x) = -4x^3 + 1[/tex]
x = -4 to x = 1
Required
Determine the average rate of change
This is calculated using:
[tex]Rate = \frac{g(b) - g(a)}{b - a}[/tex]
Where
[tex]a = x = -4[/tex]
[tex]b = x = 1[/tex]
Calculating g(b):
g(b) = g(1)
If [tex]g(x) = -4x^3 + 1[/tex], then
[tex]g(1) = -4(1)^3 + 1[/tex]
[tex]g(1) = -4*1 + 1[/tex]
[tex]g(1) = -4 + 1[/tex]
[tex]g(1) = -3[/tex]
Calculating g(a):
g(a) = g(-4)
If [tex]g(x) = -4x^3 + 1[/tex], then
[tex]g(-4) = -4(-4)^3 + 1[/tex]
[tex]g(-4) = -4*-64 + 1[/tex]
[tex]g(-4) = 256 + 1[/tex]
[tex]g(-4) = 257[/tex]
So, the formula:
[tex]Rate = \frac{g(b) - g(a)}{b - a}[/tex]
becomes
[tex]Rate = \frac{g(1) - g(-4)}{1 - (-4)}[/tex]
[tex]Rate = \frac{g(1) - g(-4)}{1+4}[/tex]
[tex]Rate = \frac{g(1) - g(-4)}{5}[/tex]
[tex]Rate = \frac{-3 - 257}{5}[/tex]
[tex]Rate = \frac{-260}{5}[/tex]
[tex]Rate = -52[/tex]