Answer:
The sample does not provide sufficient evidence that women today are taller than women in 1990.
The difference in mean height is not significant to arrive at such a conclusion.
Step-by-step explanation:
Mean height of women 20 year of age or older in 1990 = 63.7 inches
Mean height of women 20 years of age or older in 2015 = 63.9 inches
The standard deviation of the mean height in 2015 = 0.5 inch
The difference between the two years' mean height is 0.2 (63.9 - 63.7) inch.
This difference is less than the standard deviation of the mean height in 2015.
Therefore, the difference does not provide sufficient evidence that women today are taller than women in 1990.
The business college computing center wants to determine the proportion of business students who have laptop computers. If the proportion differs from 25%, then the lab will modify a proposed enlargement of its facilities. Suppose a hypothesis test is conducted and the test statistic is 2.4. Find the p-value for a two-tailed test of hypothesis.
Answer:
The p-value for a two-tailed test of hypothesis is 0.0164.
Step-by-step explanation:
The test statistic is 2.4. Find the p-value for a two-tailed test of hypothesis.
This means that we look at the z-table, and we have to find:
[tex]P(|Z| > 2.4)[/tex]
Which is the pvalue of Z = -2.4 multiplied by 2, or 2 multiplied by 1 subtracted by the pvalue of Z = 2.4.
Looking at the z-table, z = 2.4 has a pvalue of 0.9918
1 - 0.9918 = 0.0082
2*0.0082 = 0.0164
The p-value for a two-tailed test of hypothesis is 0.0164.
Which one is the greatest volume
Answer: The First Cylinder has more volume
Step-by-step explanation:
1. V = 471.24
2. V = 282.74
olve the Following Inequality Select the possible range of solution to make the Statement True.
-6m < -24
Group of answer choices {Select All That Apply}
1, 2, 3
-1, -2, -3
4, 5, 6
-, 4, -5, -6
Answer:
We have ,
=> -6m < -24
=> m < -24/-6
=> m < 4
Therefore ,
m € (4,-∞)
the two rectangular plots of land have properties side lengths what is the perimeter of the smaller rectangle A. 28 B. 32 C. 36 D. 76
Answer:
I think that it would be b 32
3. Solve the system for x and y. 7x+8y= 26 -12X-7y=-58
9514 1404 393
Answer:
(x, y) = (6, -2)
Step-by-step explanation:
My favorite fast and easy way to solve pairs of linear equations is to use a graphing calculator. The one below shows the solution to be ...
(x, y) = (6, -2)
__
There is no simple way to use substitution or elimination on these equations, so we elect to use the "cross multiplication method." First, we write the equations in "general form", then write the coefficients in two rows, repeating the first coefficient.
7x +8y -26 = 0
12x +7y -58 = 0
__
[tex]\left[\begin{array}{cccc}7&8&-26&7\\12&7&-58&12\end{array}\right][/tex]
The method gets its name from this next step: compute the difference of cross products of pairs of adjacent columns.
d1 = (7)(7) -(12)(8) = -47
d2 = (8)(-58) -(7)(-26) = -282
d3 = (-26)(12) -(-58)(7) = 94
The solution to the equations is given by ...
1/d1 = x/d2 = y/d3 ⇒
x = d2/d1 = -282/-47 = 6
y = d3/d1 = 94/-47 = -2
The solution is (x, y) = (6, -2).
_____
Additional comment
If you watch videos on this solution method you will notice the 2×4 array of coefficients is formulated slightly differently, and the final equation has the 1/( ) term at the right end of the series of equalities. We judge this variation to be less confusing and easier to remember. YMMV
The work involved in using this method is 6 multiplies, 3 adds, and 2 divides. We believe that is less work than either substitution or elimination when there is no simplification possible.
3(4c + 5) = (3.4c) + (3.5) is an example of which property
a) Commutative property
b) Distributive property
c) Inverse Operation property
d) Multiplication property
Answer: B) Distributive property
Step-by-step explanation:
Definition:
- Commutative property: a+b=b+a
- Distributive property: a(b+c)=ab+ac
- Inverse operation property:
In Addition: a+(-a)=0In Multiplication: a×(1/a)=1- Multiplication property: If a=b, a×c=b×c
Solve:
GIven
3(4c+5)=(3·4c)+(3·5)
This is distributive property because it is distributing 3 to each of the numbers in the parenthesis.
Hope this helps!! :)
Please let me know if you have any quesitons
Write and solve an equation to determine the height of a rectangular prism
with a width of 6 millimeters, a length of 20.5 millimeters, and a volume
of 984 cubic millimeters.
PLEASE HELP
Answer/Step-by-step explanation:
H = V/lw
H = 984/20.5*6
H = 984/128
H = 8
ANSWER:
H = 8
solve the equation on the interval [0,2}. 5 cos x - root 3 = 3 cos x
Answer:
Step-by-step explanation:
5 cos x-√3=3 cos x
5 cos x-3 cos x=√3
2 cos x=√3
cos x=√3/2=cos π/6,cos (2π-π/6)
x=π/6,11π/6
Answer:x=π/6,11π/6
Step-by-step explanation:
5 cos x-√3=3 cos x
5 cos x-3 cos x=√3
2 cos x=√3
cos x=√3/2=cos π/6,cos (2π-π/6)
x=π/6,11π/6
A single-server waiting line system has an arrival pattern characterized by a Poisson distribution with 3 customers per hour. The average service time is 12 minutes. The service times are distributed according to the negative exponential distribution. The average time a customer can expect to wait in line is:
Answer:
18 minutes
Step-by-step explanation:
Given that:
The arrival time = 3 customers / hour
The avg. service rate (s) = 12 minutes per customer
To hour, we have:
[tex]s = \dfrac{60}{12}[/tex]
s = 5 customers/ hour
Thus, the required average time for a customer needs to wait in line is:
[tex]= \dfrac{3}{5}\times (5-3) hours \\ \\ = \dfrac{3}{5}\times 2 \\ \\ = \dfrac{3}{10} \ hours[/tex]
To minutes;
[tex]= 3 \times \dfrac{60}{10} \ minutes[/tex]
= 18 minutes
Find the Value of x. I WILL GIVE YOU BRAINLIEST!!!!! +to the person who answers first)
Answer:
hi
Step-by-step explanation:
5x+10+2x+10+90=180
5x+2x=180-10-10-90
7x=70
x=10
have a nice day
is my answer correct?
Answer:
yes, it is correct i don't know what else to type i need to type atleast 20 characters to answer
How many cups are in 5/1/2 pints
Answer:
11 cups
Step-by-step explanation:
Answer:
11 us cups are in 5 1/2 pints
Step-by-step explanation:
hope this helps
Hurry only 5 minutes to answer!!!!!!!!!!!!!1111
Order the specified numbers from smallest to biggest.
Answer:
-12, -3/4, -0.4, 0.4, 3/4, 8
Step-by-step explanation:
I WILL GIVE BRAINIEST IF ANSWERED WITH CLEAR EXPLANATION AND ANSWERS.
Find the area of each figure. Round your answer to 2 decimal places if required. (Use = 3.14 if needed)
Answer:
285 ft²
Step-by-step explanation:
Hello There!
The figure shown is a composite figure so in order to find the total area we are going to need to split the irregular figure into two regular figures:
A parallelogram with the following dimensions
base = 15
height = 7
and a trapezoid with the following dimensions
base 1 = 11
base 2 = 13 (found by subtracting the height of the parallelogram ( 7 ) from the total height of the composite figure ( 20 ) 20 - 7 = 13 so the length of base 2 is 13 ft)
height = 15
Now that we have identified each dimensions of the two regular figures we need to find the area of each individual figure
For the parallelogram
The area of a parallelogram can simply be found by multiplying the height and the base
So A = 15 * 7
15 * 7 = 105 so the area of the parallelogram is 105 square feet
For the Trapezoid
The area of a trapezoid can be found by using this formula
[tex]A=\frac{a+b}{2} h[/tex] where a and b = bases and h = height
So using the information that we had found about the trapezoids dimensions we plug in the values
[tex]A=\frac{11+13}{2} 15\\11+13=24\\\frac{24}{2} =12\\12*15=180[/tex]
So the area of the trapezoid is 180 square feet
Finally we add the areas of the two regular figures
180 + 105 = 285
so we can conclude that the area of the composite figure is 285 ft²
Where do I put the parentheses in 15-3x4+9=12
Answer:
That depends on which operations you want to do first. The order of operations affect to outcome of the equation.
In this case:
15 - (3 x 4) + 9 = 12
Answer:
It varies but this is one example
15 - (3 x 4) + 9 = 12
plz mark as brainliest
Of all of the individuals who develop a certain rash, suppose the mean recovery time for individuals who do not use any form of treatment is 30 days with standard deviation equal to 8. A pharmaceutical company manufacturing a certain cream wishes to determine whether the cream shortens, extends, or has no effect on the recovery time. The company chooses a random sample of 100 individuals who have used the cream, and determines that the mean recovery time for these individuals was 28.5 days. Does the cream have any effect
Answer:
z(s) is in the rejection region. We reject H₀. We dont have enought evidence to support that the cream has effect over the recovery time
Step-by-step explanation:
Sample information:
Size n = 100
mean x = 28,5
Population information
μ₀ = 30
Standard deviation σ = 8
Test Hypothesis
Null Hypothesis H₀ x = μ₀
Alternative Hypothesis Hₐ x < μ₀
We assume CI = 95 % then α = 5 % α = 0,05
As the alternative hypothesis suggest we should develop a one tail-test on the left ( we need to find out if the cream have any effect on the rash), effects on the rash could be measured as days of recovery
A z(c) for 0,05 from z-table is: z(c) = - 1,64
z(s) = ( x - μ₀ ) / σ/√n
z(s) = ( 28,5 - 30 ) / 8/√100
z(s) = - 1,5 * 10 / 8
z(s) = - 1,875
Comparing z(s) and z(c)
|z(s)| < |z(c)| 1,875 > 1,64
z(s) is in the rejection region. We reject H₀. We dont have enought evidence to support that the cream has effect over the recovery time
The diameter of a circle is 2 feet. What is the circle's area?
Solve the following quadratic equation 3×^2-5=0
compare and contrast area and perimeter
Answer:
area is the numbers around the shape and perimeter is inside
Step-by-step explanation:
Joe has a goal to practice his clarinet for 4 1/2 hours per week the list below shows the number of hours does practice this week so for Monday one and a half Wednesday 1 1/4 Thursday one how many more hours does Joel need to practice this week to meet his goal.
Answer:
0.75 hours more
a reflection across y=2
HELP DUE VERY SOON
Answer:
n' = (-5,2) k' = (-1,1) t' = (-5,0)
Step-by-step explanation:
The expression x^2- x + 8.75 factors as (x + 2.5)(x - a) for some positive value "a". What is a?
step by step, please.
Answer:
3.5
Step-by-step explanation:
Write out quadratic
[tex] {x}^{2} - x + 8.75[/tex]
We are given that x+2.5 is a factor.
So our roots look like
[tex](x + 2.5)(x - a)[/tex]
Let apply the foil method to find some missing parts.
[tex]x \times x = {x}^{2} [/tex]
[tex]x \times - a = - ax[/tex]
[tex]2.5 \times x = 2.5[/tex]
[tex]2.5 \times - a = - 2.5a[/tex]
We know that the outer terms must multiply to 8.75. We also know that the middle terms must add up to -1.
[tex] - 2.5a = 8.75[/tex]
[tex] 2.5x - ax = -1[/tex]
The only number that satisfy this equation is
[tex] - 3.5[/tex]
Since it already negative, it is
[tex]3.5[/tex]
Unit 2 Exam
Rabbit populations can double every 30
days. If there are 26 rabbits on a farm,
how many rabbits will be on the farm
after 240 days?
First, complete the equation:
Future Amount = 26(1+1)
Answer:
6,656 rabbits
Step-by-step explanation:
Population of rabbits = 26
Population doubles every 30 days
how many rabbits will be on the farm after 240 days?
t = 240 days / 30 days
= 8
Future Amount = 26(2)^t
=26(2)^8
= 26(256)
= 6,656
Therefore, the population of rabbits on the farm after 240 days is 6,656
What is fraction is equal 54%
Answer:
27/50
20 character minimum
If the rate of change of the graph of a linear equation is 4 and the y-intercept is (0, 8), what is the linear equation that represents the graph?
Answer:
y = 4x + 8
Step-by-step explanation:
The linear equation can be written in the form y = mx + b. "y" and "x" stay as they are. The "m" is the slope or rate of change. The b is the y-intercept.
Hope it helps!!!
(May I have brainliest if it's correct please?)
What is the missing length?
I need to know the surface area of these
9514 1404 393
Answer:
245 cm²
Step-by-step explanation:
The surface area of a cone is given by ...
SA = πr(r +s) . . . . where r is the radius, and s is the slant height
Filling in the given values, we have ...
SA = (3.14)(3 cm)(3 cm +23 cm) = (3.14)(3)(26) cm² ≈ 245 cm²
The surface area of the cone is about 245 cm².
F’(x)= 1+3 square root x f(9)=68
Answer:
[tex]f(x) = x + 2x^\frac{3}{2} + 5[/tex]
Step-by-step explanation:
I'm assuming the question here is asking for f(x)
The first step would be to find the antiderivative of f'(x)
[tex]\int{1+3\sqrt{x}} \, dx = \int{1 + 3x^\frac{1}{2}} dx[/tex]
Apply the reverse power rule
[tex]x + 2x^\frac{3}{2} + C[/tex]
Now solve for C when x = 9
[tex]x + 2x^\frac{3}{2} + C = 68\\9 + 2(9)^\frac{3}{2} + C = 68\\9 + 2(27) + C = 68\\9 + 54 + C = 68\\63 + C = 68\\C = 5[/tex]
Now substitute into the antiderivative
[tex]f(x) = x + 2x^\frac{3}{2} + 5[/tex]
if QS= 13 and RS= 12 what is the length of QR
The circular fountain in front of the park has
a diameter of 14 feet. What is the
circumference of the fountain?
A.
43.98 ft
B.
87.96 ft
C-21.99 ft
D-153.94 ft
15 it was rigth in khan academy if u got the letter one its A
The circumference of the fountain will be 43.98 square feet. Thus, the correct option is A.
What is the circumference of a circle?It is the close curve of an equidistant point drawn from the center. The radius of a circle is the distance between the center and the circumference.
Let d be the diameter of the circle. The circumference of the circle will be given as,
C = πd units
The diameter of the circular fountain is 14 feet. Then the circumference is calculated as,
C = π x 14
C = 43.98 square feet
Thus, the correct option is A.
More about the circumference of a circle link is given below.
https://brainly.com/question/27177006
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