Answer:
There is sufficient evidence that there is linear correlation between two variable
Step-by-step explanation:
From the question we are told
The significance level is [tex]\alpha = 0.01[/tex]
The critical value is [tex]a = 0.590[/tex]
The test statistics is [tex]r = 0.591[/tex](linear correlation coefficient )
Now from the data given in the value we see that
[tex]r > a[/tex] so the null hypothesis is rejected
Hence the conclusion is that there is sufficient evidence that there is linear correlation between two variable
Find the limit of the function algebraically. alt='limit as x approaches zero of quantity negative seven plus x divided by x squared.'
Answer:
lim x->0 (-8+x)/x^2
just plug in x = 0
(-8+0)/0
now this fraction is a negative number divided by 0.
So, it equals -infinity.
The limit value is infact -infinity,
so the given option, "Does Not Exit" is the best choice.
If y = x + 5 and x = 3 then y =
Answer:
y=8
Step-by-step explanation:
if you subsitute 3 into x then it will be y=3+5 which equals 8, so y= 8
What does 3ˣ + 4·3ˣ⁺¹ =
a. 13·3ˣ⁺¹
b. 5·3ˣ⁺¹
c. 5·3²ˣ⁺¹
d. 13·3ˣ
Answer:
D. 13*3^x
Step-by-step explanation:
[tex]3^x +4*3^x^+^1= \\3^x+4*3(3^x)=\\3^x(1+[4*3])=\\3^x(1+12)=\\3^x(13)=\\13*3^x[/tex]
The solution of 3ˣ + 4·3ˣ⁺¹ is 13·3ˣ which is the correct answer would be an option (D)
What is an exponential function?An exponential function is defined as a function whose value is a constant raised to the power of an argument is called an exponential function.
It is a relation of the form y = aˣ in mathematics, where x is the independent variable
⇒ 3ˣ + 4·3ˣ⁺¹
⇒ 3ˣ + 4·3ˣ3¹
⇒ 3ˣ( 1 + 4·3)
⇒ 3ˣ( 1 + 12)
⇒ 3ˣ(13)
⇒ 13·3ˣ
Hence, the solution of 3ˣ + 4·3ˣ⁺¹ is 13·3ˣ which is correct answer would be option (D)
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The manager of a fleet of automobiles is testing two brands of radial tires and assigns one tire of each brand at random to the two rear wheels of eight cars and runs the cars until the tires wear out. The data (in kilometers) are given below. Find a 99% confidence interval on the difference in mean life. Which brand would you prefer based on this calculation?
Answer:
-727.5034 and 2464.2534
Step-by-step explanation:
Find explanation in the attachment
simplify 2⁰+5¹+4³/7
Answer:
10
Step-by-step explanation:
2^0 = 1
5^1 = 5
4^3 = 4 x 4 x 4
=> 16 x 4
=> 64
=> 1 + 5 + 64 / 7
=> 6 + 64 / 7
=> 70 / 7
=> 10
So, the answer is 10
The boiling point of jet fuel is 329°F. Rounded to the nearest degree, what is the temperature in degrees Celsius? Use the formula C = 59(F – 32), where C represents degrees Celsius and F represents degrees Fahrenheit. A. 165°C B. 183°C C. 201°C D. 535°C
Answer:
17523° Celsius
Step-by-step explanation:
using the formula c=59(F-32), you have to plug the 329 into F like so-
C=59(329-32)
and then you're free to calculate! first you distribute the 59 like so...
C= (59 times 329)(59 times -32) getting C=19411-1888 which u then solve again to get 17523° Celsius
Distance between points (-3, 1) and (5, -2) rounded to the nearest tenth.
Answer:
d ≈ 8.5
Step-by-step explanation:
Distance Formula: [tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Simply plug in our 2 coordinates into the formula:
d = √[(5 + 3)² + (-2 - 1)²]
d = √[(8)² + (-3)²]
d = √(64 + 9)
d = √73
d = 8.544
d ≈ 8.5
on a scale of map, 5cm represent 60km. if the distance between two points on the map is 8cm, find the actual distance between these points?
[tex]60 \div 5 = 12[/tex]
[tex]8 \times 12 = 96km[/tex]
Answer:
96 kilometers
Step-by-step explanation:
Let's set up a proportion using the following setup.
scale / actual = scale / actual
The scale is 5 cm to 60 km.
5cm / 60 km= scale/ actual
The distance on the map is 8 cm, but the actual distance is unknown. Therefore, we can say the actual distance is x km.
5 cm/ 60 km= 8 cm/ x km
5/60=8/x
Cross multiply. Multiply the numerator of the first fraction by the denominator of the second. Then, multiply the denominator of the first by the numerator of the second.
(5*x)=(8*60)
5x=8*60
5x=480
5 and x are being multiplied. The inverse of multiplication is division. Divide both sides of the equation by 5.
5x/5=480/5
x=480/5
x=96
x= 96 km
The actual distance between the two points is 96 kilometers.
9x + 8y when x = 4 and and y = -5
━━━━━━━☆☆━━━━━━━
▹ Answer
-4
▹ Step-by-Step Explanation
9x + 8y = ?
Substitute the value for x in:
9(4) + 8y
Substitute the value for y in:
9(4) + 8(-5)
Multiply:
9 * 4 = 36
8 * -5 = -40
9x + 8y = 36 - 40 = -4
Hope this helps!
CloutAnswers ❁
━━━━━━━☆☆━━━━━━━
write an expression of the sequence of operations described below
subtract f from g then subtract 10 from the result
Answer:
the answer is: (g-f)-10
- Marsha's Bakery packages cupcakes 24 to a box. She recently received an order from a local university for 2225 cupcakes. If she fill each box with 24 cupcakes, except for the last one, how many full boxes of cupcakes are needed and how many cupcakes will be in the last box?
Answer:
17.
Step-by-step explanation:
Divide 2225 by 24 and round down. (92) Multiply 92 by 24 and subtract that (2208) from the total number (2225). you get 17
Assume that adults have IQ scores that are normally distributed with a mean 105 of and a standard deviation 20 . Find the probability that a randomly selected adult has an IQ between 88 and 122 .
Answer:
0.6048
Step-by-step explanation:
Given the following :
Assume a normal distribution :
Mean (m) = 105
Standard deviation (sd) = 20
Find the probability that a randomly selected adult has an IQ between 88 and 122 .
Z = (x - m) / sd
For IQ score of 88:
Z = (88 - 105) / 20
Z = (-17) / 20
Z = - 0.85
For IQ score of 122:
Z = (122 - 105) / 20
Z = (17) / 20
Z = 0.85
P(-0.85<Z<0.85) = P(Z < 0.85) - P(Z < - 0.85)
P(-0.85<Z<0.85) = (0.8023 - 0.1977)
P(-0.85<Z<0.85) = 0.6048
if a number is doubled, and 16 is added to it, the resault is 40. what is the number
Answer:
The number is 12
Step-by-step explanation:
Let x = number
2x+16 = 40
Subtract 16 from each side
2x+16-16 =40-16
2x = 24
Divide by 2
2x/2 =24/2
x = 12
Shirley wants to find the distance her unicycle moves on the sidewalk when the tire makes one complete revolution. If the diameter of her unicycle tire is 14 inches, find the distance the unicycle moves in one complete revolution. Use as an approximation for pi.
Answer:
44 in
Step-by-step explanation:
The circumference of the tire will be the same as the distance the unicycle moves in one complete revolution.
Find the circumference with the formula C = [tex]\pi[/tex]d, where d is the diameter
Plug in the values:
C = [tex]\pi[/tex](14)
C = approx. 44 in
Find the area of the parallelogram with vertices:________.
P(0,0,0), Q(4,-5,3), R(4,-7,1), S(8,-12,4).
Answer:
97.98
Step-by-step explanation:
The area of the parallelogram PQR is the magnitude of the cross product of any two adjacent sides. Using PQ and PS as the adjacent sides;
Area of the parallelogram = |PQ×PS|
PQ = Q-P and PS = S-P
Given P(0,0,0), Q(4,-5,3), R(4,-7,1), S(8,-12,4)
PQ = (4,-5,3) - (0,0,0)
PQ = (4,-5,3)
Also, PS = S-P
PS = (8,-12,4)-(0,0,0)
PS = (8,-12,4)
Taking the cross product of both vectors i.e PQ×PS
(4,5,-3)×(8,-12,4)
PQ×PS = (20-36)i - (16-(-24))j + (-48-40)k
PQ×PS = -16i - 40j -88k
|PQ×PS| = √(-16)²+(-40)²+(-88)²
|PQ×PS| = √256+1600+7744
|PQ×PS| = √9600
|PQ×PS| ≈ 97.98
Hence the area of the parallelogram is 97.98
Rewrite the expression by factoring out (w+6).
2w2(w+6) +7(w+6)
Answer:
Below
Step-by-step explanation:
● 2w^2 (w+6) + 7(w+6)
● (w+6) (2w^2 + 7)
The coordinates on a map for City A are (57, 11) and those for City B are (121, 79). Note that coordinates represent miles. Find the distance between the cities to the nearest mile.
Answer:
93 miles
Step-by-step explanation:
Use the distance formula:
d = [tex]\sqrt{(x2 - x1)^2 + (y2 - y1)^2}[/tex]
Plug in the values:
d = [tex]\sqrt{(121 - 57)^2 + (79 - 11)^2}[/tex]
d = [tex]\sqrt{4096 + 4624}[/tex]
d = [tex]\sqrt{8720}[/tex]
d = 93.4
= 93 miles
Answer:
93 miles.
Step-by-step explanation:
To find this answer, we can use the distance formula: D= SQ root of (X2 - X1)^2 + (Y2-Y1)^2
Then, we have to plug in the corrdinates accordingly:
D = SQ root of (121 - 57)^2 + (79 - 11)^2
D = SQ root of (64^2) + (68^2)
D = SQ root of 4096 + 4624
D = SQ root of 8720
D = 93.3809402394
D rounded to the nearest mle is 93 miles
Hope this helps :)
Help please 2 over 5D - 77 = 55.
Answer:
Step-by-step explanation:
2/(5d-77)=55
2=55(5d-77)
2/55=5d-77
5d=2/55 + 77
d = (2/55 + 77)/5
Hope you can calc that yourself
Dan paid $498.09 (including sales tax) for a laptop computer. The sales tax in his state is 7%. What was the price of the laptop before the sales tax was added?
Answer:
$465.50
Step-by-step explanation:
Let the price be x, then:
x + 0.07x = 498.091.07x = 498.09x = 498.09/1.07x = 465.50Complete the table of values for the following function.
Answer/Step-by-step explanation:
To complete the table, given the function, [tex] f(x) = \frac{1}{3}x^2 [/tex], plug in each value of x to find f(x).
Thus:
x = -6
[tex] f(-6) = \frac{1}{3}(-6)^2 = \frac{1}{3}(36) [/tex]
[tex] f(-6) = 12 [/tex]
[tex] f(-3) = \frac{1}{3}(-3)^2 = \frac{1}{3}(9) [/tex]
[tex] f(-3) = 3 [/tex]
[tex] f(0) = \frac{1}{3}(0)^2 = \frac{1}{3}(0) [/tex]
[tex] f(0) = 0 [/tex]
[tex] f(3) = \frac{1}{3}(3)^2 = \frac{1}{3}(9) [/tex]
[tex] f(3) = 3 [/tex]
[tex] f(6) = \frac{1}{3}(6)^2 = \frac{1}{3}(36) [/tex]
[tex] f(6) = 12 [/tex]
four times the difference of a number and 7 is 12
answer
20
Step-by-step explanation:
I think you mean for times the difference of seven and 12 or (12-7)×4 if not sorry
Answer: 10
Step-by-step explanation:
4(x - 7) = 12
x - 7 = 3
x = 10
You measure 46 watermelons' weights, and find they have a mean weight of 60 ounces. Assume the population standard deviation is 8.5 ounces. Based on this, construct a 99% confidence interval for the true population mean watermelon weight. Give your answers as decimals, to two places.
Answer:
A 99% confidence for the true population mean watermelon weight is [56.77 ounces, 63.23 ounces] .
Step-by-step explanation:
We are given that you measure 46 watermelons' weights, and find they have a mean weight of 60 ounces.
Assume the population standard deviation is 8.5 ounces.
Firstly, the pivotal quantity for finding the confidence interval for the population mean is given by;
P.Q. = [tex]\frac{\bar X-\mu}{\frac{\sigma}{\sqrt{} n} }[/tex] ~ N(0,1)
where, [tex]\bar X[/tex] = sample mean weight = 60 ounces
[tex]\sigma[/tex] = population standard deviation = 8.5 ounces
n = sample of watermelons = 46
[tex]\mu[/tex] = population mean watermelon weight
Here for constructing a 99% confidence interval we have used a One-sample z-test statistics because we know about the population standard deviation.
So, 99% confidence interval for the population mean, [tex]\mu[/tex] is ;
P(-2.58 < N(0,1) < 2.58) = 0.99 {As the critical value of z at 0.5% level
of significance are -2.58 & 2.58}
P(-2.58 < [tex]\frac{\bar X-\mu}{\frac{\sigma}{\sqrt{} n} }[/tex] < 2.58) = 0.99
P( [tex]-2.58 \times {\frac{\sigma}{\sqrt{} n} }[/tex] < [tex]{\bar X-\mu}[/tex] < [tex]2.58 \times {\frac{\sigma}{\sqrt{} n} }[/tex] ) = 0.99
P( [tex]\bar X-2.58 \times {\frac{\sigma}{\sqrt{} n} }[/tex] < [tex]\mu[/tex] < [tex]\bar X+2.58 \times {\frac{\sigma}{\sqrt{} n} }[/tex] ) = 0.99
99% confidence interval for [tex]\mu[/tex] = [ [tex]\bar X-2.58 \times {\frac{\sigma}{\sqrt{} n} }[/tex] , [tex]\bar X+2.58 \times {\frac{\sigma}{\sqrt{} n} }[/tex] ]
= [ [tex]60-2.58 \times {\frac{8.5}{\sqrt{46} } }[/tex] , [tex]60+2.58 \times {\frac{8.5}{\sqrt{46} } }[/tex] ]
= [56.77 ounces, 63.23 ounces]
Therefore, a 99% confidence for the true population mean watermelon weight is [56.77 ounces, 63.23 ounces] .
PLS HELP ASAP!! For brainliest answer!!!!
The students of a certain college were asked to choose which of six movie genres was their favorite. The pie chart below shows the distribution of the students’ answers. If there are 18,500 students at the college, how many chose Drama , Other, or Comedy ?
Answer:
12950
Step-by-step explanation:
comedy : 20% => 20 × 18500 ÷ 100 = 3700
drama : 23% => 23 × 18500 ÷ 100 = 4255
other : 27% => 27 × 18500 ÷ 100 = 4995
all together: (20 + 23 + 27) × 18500 ÷ 100 = 3700+4255+4995 = 12950
The solution is 12950.
What is percentage?A percentage is a number or ratio that can be expressed as a fraction of 100. A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, "%", although the abbreviations "pct.", "pct" and sometimes "pc" are also used. A percentage is a dimensionless number; it has no unit of measurement.
here, we have,
from the given graph, we get,
comedy : 20%
=> 20 × 18500 ÷ 100
= 3700
drama : 23%
=> 23 × 18500 ÷ 100
= 4255
other : 27%
=> 27 × 18500 ÷ 100
= 4995
so, we get,
all together: (20 + 23 + 27) × 18500 ÷ 100
= 3700+4255+4995
= 12950.
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Find the
(i) Radius of the smaller sector.
(ii) Perimeter of the shape.
(iii) The angle
Answer:
Radius of the smaller sector = 12 cmPerimeter of the shape = 68 cmAngel = 47.72° (Approx)Step-by-step explanation:
Computation:
Length of arc = Θ/360[2πr]
20 = Θ/360(2)(22/7)(24)
Θ = 47.72°
Angel = 47.72° (Approx)
Length of arc = Θ/360[2πR]
10 = [47.72 / 360][2][22/7][R]
R = 12 cm
Radius of the smaller sector = 12 cm
Perimeter of the shape = 20 + 24 + 24
Perimeter of the shape = 68 cm
Rodell wants to find the favorite gaming app among the students at his school. He decides to poll the thirty students
on his football team and the fifteen students on his basketball team to gather the data. What is wrong with Rodell's
method for collecting his data?
Rodell only polled fellow athletes, this sample does not represent nonathletes at the school.
* Rodell needs a larger sample size than two sports teams to represent a whole school.
Rodell polled everyone on his teams; he should have only polled every other student for it to be a true sample.
Rodell’s polling method only included fall and winter sports, he should have also included a spring sport like
baseball
(it’s not B on edge, don’t answer if you don’t know thanks)
Rodell needs a larger sample size than two sports teams to represent a whole school.
Important Information : Study is conducted about favourite gaming app among students at school, 30 & 15 students of football & basketball team are polled.
Finding : Issue in Rodell's method of collecting data
The issue in this sampling : Rodell needs a larger sample size than two sports teams to represent a whole school.
Sample selected from universe should be very carefully chosen, to be a good representative of universe.
Here, Rodell has chosen only two sports' team members as sample for the study of favourite gaming app. Such kind of sample having more uneven concentration of any type of population members doesn't denote sample being a good representative of population.
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The volume of a cube is 1,000 cubic meters. What is the length (in meters) of one edge of the cube
Answer:
10
Step-by-step explanation:
Cube root of 1000
That's 10
Answer:
Calculator to find all the properties of a cube given any one property. ... Definition: The number of cubic units that will exactly fill a cube. Try this ... The volume of a cube is found by multiplying the length of any edge by itself twice.
solve this asap plsss Giving 20 points ty <3
Answer:
24
Step-by-step explanation:
first 2×2=4
then 16÷4
4×6
24
List the next three numbers for the sequence: 7, 7 /2 , 7 /4 , 7/ 8
Answer:
7/16, 7/32, 7/64
Step-by-step explanation:
PLEASE GIVE BRAINLIEST OR AT LEAST A THANKS!
Answer:
7/16, 7/32, 7/64
Step-by-step explanation:
7, 7 /2 , 7/ 4 , 7/ 8
We multiply by 1/2 each time
7/8 *1/2 = 7/16
7/16*1/2 = 7/32
7/32 *1/2 = 7/64
3 lines intersect to form 5 angles. Clockwise, from top left, the angles are B = question mark, 90 degrees, C = question mark, D = 124 degrees, A = question mark. What is the value of m∠A + m∠B? °
Answer:
The answer is 90 degrees
Step-by-step explanation:
Both A and B make a right angle, which is 90 degrees.
Hope it helped :)
The value of m∠A + m∠B is 90°
What are vertically opposite angles?It is defined as the angles when two lines intersect each other and at the intersecting point, some pair of angles are formed which we call vertically opposite angles, as the name describes that they have vertically opposite angles.
Three lines intersect to form 5 angles such that:
From the top left ∠B made and after this 90° made.
∠D = 124°
From the figure, we can clearly see ∠A = ∠C (vertically opposite angles)
We can calculate ∠C = 360°-90°-90°-124° ⇒ 56°
Also ∠A = 56°
and ∠B = 90° - 56° ⇒ 34°
Now we can calculate the sum of the angle ∠A+∠B = 56+34 ⇒ 90°
Thus, the value of m∠A + m∠B is 90°
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