Answer:
The test statistic needed to evaluate the claim is t = -1.08.
Step-by-step explanation:
The test statistic is:
[tex]t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the expected value of the mean, s is the standard deviation of the sample and n is the size of the sample.
At a certain university, the average attendance at basketball games has been 3125. The athletic director claims that the attendance is the same as last year.
This means that [tex]\mu = 3125[/tex]
Due to the dismal showing of the team this year, the attendance for the first 9 games has averaged only 2915 with a standard deviation of 585.
This means that [tex]n = 9, X = 2915, s = 585[/tex]
What is the test statistic needed to evaluate the claim?
[tex]t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}[/tex]
[tex]t = \frac{2915 - 3125}{\frac{585}{\sqrt{9}}}[/tex]
[tex]t = -1.08[/tex]
The test statistic needed to evaluate the claim is t = -1.08.
Which function is represented by this graph?
Answer:
Which function is represented by this graph?
9
The last option is not even a function, because it ambiguously defines the endpoints.
The first option doesn't define the endpoint, because they are always excluded.
So, the correct option is the second one, because it includes the left endpoint and excludes the right one
Step-by-step explanation:
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Answer:
[tex]8( 4 \sqrt{7} - \sqrt{18} ) = 8(4 \sqrt{7} - 3 \sqrt{2}) = 32 \sqrt{7} - 24 \sqrt{2} [/tex]
Answer:
the answer is
[tex]32 \sqrt{7} - 24 \sqrt{2} [/tex]
a computer repair company charges an hourly labor rate of $40 in addition to.the cost of oarts needed to.fic a computer. A sales tax rate of 5.5% is assessed on the cost of parts but not on the labor cost nancy had gee computer repaired by the company and the total bill came to $183.30!if it took 3. hours to.do the repair what was the cost of parts needed ti fix her comouter rounded to.the nearest whole.dollar write an equation and explain how yiu use it to find your answer
Answer:
Step-by-step explanation:
Parts + 3($40 labor)=183.30
parts + 120=183.30
parts=63.30 but it includes tax. To find costs of parts before tax you
63.30/1.055=60 so parts are $60
or to solve with one equation:
parts(1.055) + 3($40 labor) = 183.30
parts(1.055) + 120=183.30
parts(1.055)=63.30
Parts = 63.30/1.055
parts = 60
Alan would like to pitch an idea about a new approach to sales at the next company meeting. He plans to present the following bar graph during his pitch to convince his boss to try out his approach in the lowest performing region in the third quarter. According to the bar graph, which region fits this description?
Answer:
south
Step-by-step explanation:
A university council wants to determine the need for a new staff room. The council conducted a survey of the staff by randomly speaking to 860 staff members out of 2,844 staff members. The council found that 70% of those surveyed were in favor of building a new staff room. Assuming a 90% confidence level, which statement holds true?
As the sample size is appropriately large, the margin of error is 0.036.
As the sample size is appropriately large, the margin of error is 0.026.
As the sample size is too small, the margin of error is 0.026.
As the sample size is too small, the margin of error cannot be trusted.
To find a margin of error for a sample proportion, these assumptions must be met, where n is the sample size and is the sample proportion.
First rewrite the proportion of positive responses as a decimal number.
Now substitute the sample proportion and the sample size, 860, into the formulas for the assumptions to determine whether they are met.
Both values are greater than 10, so the assumptions are met, and the margin of error can be calculated.
Find the margin of error using this formula, where z is the critical value.
For a 90% confidence level, . Substitute the values of z, n, and into the formula for margin of error and evaluate.
Answer:
As the sample size is appropriately large, the margin of error is 0.026
Step-by-step explanation:
Find the area of a trapezoid with a base of 21.6 m, a height of 4.5 m, and top of 11.9 m. Round your answer to the nearest hundredth. 11.9 m 14.5 m 21.6 m
Answer:
[tex]A=75.37\ m^2[/tex]
Step-by-step explanation:
Given that,
The base of a trapezoid, b = 21.6 m
Height of the trapezoid, h = 4.5 m
The tope of the trapezoid, a = 11.9 m
We need to find the area of a trapezoid. The formula for the area of a trapezoid can be given by :
[tex]A=\dfrac{1}{2}\times (sum\ of\ parallel\ sides)\times height[/tex]
Put all the values,
[tex]A=\dfrac{1}{2}\times (21.6+11.9)\times 4.5\\\\=75.37\ m^2[/tex]
Hence, the area of a trapezoid is equal to [tex]75.37\ m^2[/tex].
3
Question 5 (1 point)
Jasmine has 14 roses in a vase.
6
2 roses are yellow.
5 roses are pink.
3 roses are white.
4 roses are red.
9
12
What is the probability that Jasmine randomly selects a
red rose, replaces it, and then a pink rose?
1
A.
9
C.
28
5
3
10
B.
5
D.
49
91
Loo
The ratio of cherry trees to apple trees at an orchard is 4 to 9. If there are 184 cherry trees, use a proportion to find a, the number of apple trees.
Write the equation of the graphed circle.
HELP ME PLEASE!!!this is due in 10 minutes
The lengths of the sides of a triangle are x,2x and 2x centimetres.If the perimeter is 20 centimeters,what is the value of x?
a)4
b)5
c)8
d)10
Answer:
a) x = 4 cm
Step-by-step explanation:
x + 2x + 2x = 20 cm
5x = 20
x = 4 cm
I believe that it is (B).
I need help, pls help me?
Answer:
1 and 100
Step-by-step explanation:
Those are the chances of events
Multiply 8 1/2 by the reciprocal of 1 1/3
Answer:
6 3/8
Step-by-step explanation:
FIrst, reciprocal means that you have to change the order of the fraction.
8 1/2 = 17/2
1 1/3 = 4/3
17/2 by the reciprocal of 4/3 = 17/2 by (this word means to multiply) 3/4
17/2 * 3/4 = 51/8 = 6 3/8
3. Two computers in an office are connected to the same printer. The two computers and the printer form an isosceles triangle. Each computer is 30ft away from the printer. Don wants to connect the two computers to each other and needs to calculate how much cable will be necessary. He knows that 30 feet of cable already joins each computer to the printer and each computer is 40 degrees from the printer. Find the amount of cable needed to connect the two computers
El area de un triángulo es de 63.6 cm2 . El largo de uno de sus lados es de 12 cm. Cuanto mide el otro lado?
Answer:
has visto los diarios de vampiros?
Step-by-step explanation:
someone please help me answer this!!
Answer:
17.9 units is the answer
Step-by-step explanation:
points are (-7,-2) and (9,6)
Pythagorean theorem can be written as,
[tex]d=\sqrt{(x_2-x_1)^2 + (y_2-y_1)^2} \\\\d=\sqrt{9-(-7))^2 + (6-(-2))^2}\\\\d=\sqrt{(16)^2+(8)^2} \\\\d=\sqrt{256+64} \\\\d=\sqrt{320} \\\\d=17.88[/tex]
Rounding off,
d = 17.9 units
X minus thirteen can be represented by what expression
Answer:
[tex]x - 13[/tex]
x minus thirteen = x - 13.
Answer:
x-13
Step-by-step explanation:
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Shonda is making cookies with her family. They mix 2 cups of flour with a half cup of sugar. How many cups of sugar will they need if they used 8 cups of flour?
buys 5 apples for 2.60 dollars how much does one apple cost
Answer:
One apple cost $0.52.
Step-by-step explanation:
$2.60/5 = $0.52
$0.52 * 5 = $2.60
i need help on 2 & 3 ASAP
Answer:
2)100
3)100
Step-by-step explanation:
What is the measure of n?
12
4.
n
m
1 =>
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Enter
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4. If the sides of a square measure 9V3 units, then find the length of the diagonal.
Answer:
Step-by-step explanation:
To find the diagonal, use Pythagorean theorem,
diagonal² = side² + side²
= (9√3)² + (9√3)²
= 9²(√3)² + 9²(√3)²
= 81*3 + 81*3
= 243 + 243
= 486
diagonal = √486 = 22.05 units
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The age of a mother is three times the age of her son. If the difference between their
ages 20 years find their present ages.
Answer:
[tex]Mother = 30\ years[/tex]
[tex]Son = 10\ years[/tex]
Step-by-step explanation:
Given
[tex]M = Mother[/tex]
[tex]S = Son[/tex]
From the first statement:
[tex]M = 3S[/tex]
From the second:
[tex]M - S = 20[/tex]
Required
Find M and S
We have:
[tex]M = 3S[/tex] and
[tex]M - S = 20[/tex]
Substitute [tex]M = 3S[/tex] in [tex]M - S = 20[/tex]
[tex]3S -S =20[/tex]
[tex]2S = 20[/tex]
Divide both sides by 2
[tex]S = 10[/tex]
Substitute [tex]S = 10[/tex] in [tex]M = 3S[/tex]
[tex]M = 3 * 10[/tex]
[tex]M = 3 0[/tex]
Hence;
[tex]Mother = 30\ years[/tex]
[tex]Son = 10\ years[/tex]
2/7x = 10 show work plz
Answer:
x = 35
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
2/7*x-(10)=0
2
Simplify —
7
2
(— • x) - 10 = 0
7
Subtracting a whole from a fraction
Rewrite the whole as a fraction using 7 as the denominator :
10 10 • 7
10 = —— = ——————
1 7
Adding up the two equivalent fractions
Add the two equivalent fractions which now have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:
2x - (10 • 7) 2x - 70
————————————— = ———————
7 7
Pull out like factors :
2x - 70 = 2 • (x - 35)
2 • (x - 35)
———————————— = 0
7
When a fraction equals zero ...
Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.
Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.
Here's how:
2•(x-35)
———————— • 7 = 0 • 7
7
Now, on the left hand side, the 7 cancels out the denominator, while, on the right hand side, zero times anything is still zero.
The equation now takes the shape :
2 • (x-35) = 0
Solve : 2 = 0
This equation has no solution.
A a non-zero constant never equals zero.
Solve : x-35 = 0
Add 35 to both sides of the equation :
x = 35
If you know the area of the circle how can you find its radius
Answer:
If we know the area of the circle we can find the radius by using the formula for
Area = πr²
Answer:
The diameter is always double the radius. Hence, the formula is derived by dividing the diameter by 2.
Step-by-step explanation:
Radius Formulas
Radius in Terms of Diameter d ⁄ 2
Radius in Terms of Circumference C ⁄ 2π
Radius in Terms of Area √(A ⁄ π)
Which choice could be modeled by a linear function?
A. The amount, y, of radioactive material remaining after x years when decay occurs at rate 30% each year.
B. The amount of money, y, In an account after x years earning 4% interest compounded annually.
C. The height, y, of a ball after bouncing x times, if each bounce reaches 2/3 the previous height.
D. The monthly cost, y, to use a cell phone for x minutes at a rate of 4 cents per minute.
Answer:
D
Step-by-step explanation:
D is linear because it increases the same amount each time
Helen puts 50 marbles into 9 jars. First, she puts in the greatest
possible number of marbles into each of the 1st 8 jars. Each of these
8 jars has an equal number of marbles. The remaining marbles are
then put into the 9th jar. How many more marbles does she need for
the 9th jar such that every jar has the same number of marbles?
Answer:
She needs 4 more marbles for the 9th jar.
Step-by-step explanation:
Multiples of 8:
M = {0, 8, 16, 24, 32, 40, 48, 56, ...}
First, she puts in the greatest possible number of marbles into each of the 1st 8 jars.
The total is the greatest multiple of 8 below 50, which is 48.
In each jar:
48/8 = 6
The remaining marbles are then put into the 9th jar.
50 - 48 = 2 in the 9th jar.
How many more marbles does she need for the 9th jar such that every jar has the same number of marbles?
All others have 6, the 9th has 2.
6 - 2 = 4
She needs 4 more marbles for the 9th jar.
Determine the point estimate. An article in an educational journal discussing a non-conventional high school reading program reports a 95% confidence interval of (520 , 560) for the average score on the reading portion of the SAT. The study was based on a random sample of 20 students and it was assumed that SAT scores would be approximately normally distributed. Determine the sample mean that was used to build this confidence interval.
Answer:
Step-by-step explanation:
CI ( 95 % ) means α = 5 % α = 0,05 α /2 = 0,025
If we have a normal distribution and build a CI by symmetry such CI has as a middle point the mean in this case
CI 95 % = ( 520 ; 560 )
the mean is (520 + 560 ) / 2
mean = 540
The 4 in 153,458 has _______________ the value of the 4 in 192,946.
Answer:
The 4 in 153,458 has ten times more the value than the 4 in 192,946.
Step-by-step explanation:
400 and 40
400 ÷ 40 = 10
What is the equation of a line in slope intercept form parallel to 2x-y=2 and passes through point 1,10
Answer:
Slope intercept form:
y = 2x + 8
Step-by-step explanation:
Parallel lines have same slope. SO find the slope of 2x - y = 2
2x - y = 2
-y = -2x + 2
Multiply both sides by (-1)
-y*(-1) = -2x*(-1) + 2 *(-1)
y = 2x - 2
Slope = 2
m =2 and point (1 , 10)
Slope point form: y - y1 = m(x -x1)
y - 10 = 2(x - 1)
y - 10 =2x - 2
y = 2x - 2 + 10
y = 2x + 8
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