Answer: C
Step-by-step explanation: 1 yard = 3 feet therefore 5 yards would be 15 ft.
. Compute the required sample size given the required confidence in the sample results is 99.74% (Z score of 3). The level of allowable sampling error is 5% and the estimated population standard deviation is unknown. Q/A6.1. Compute the required sample size given the required confidence in the sample results is 99.74% (Z score of 3). The level of allowable sampling error is 5% and the estimated population standard deviation is unknown.
Answer:
900 sample size
Step-by-step explanation:
To determine the sample size for a proportion, the margin of error formula is used to determine this:
[tex]E=Z_{\frac{\alpha}{2} }*\sqrt{\frac{\hat p \hat q}{{n} }[/tex]
[tex]n=\hat p \hat q*(\frac{Z_{\frac{\alpha}{2} }}{E} )^2[/tex]
Where p is the proportion, E is the margin of error, n is the sample size, q = 1 - p, [tex]Z_\frac{\alpha }{2}[/tex] is the z score.
Since the proportion is not known, the sample size needed to guarantee the confidence interval and error is at p = 0.5 and q = 1 - p = 1 - 0.5 = 0.5
E = 5% = 0.05, [tex]Z_\frac{\alpha }{2}[/tex] = 3. Hence:
[tex]n=0.5*0.5*(\frac{3}{0.05} )^2\\\\n = 900[/tex]
75.5% of the students at Sarasota Community College are from in state. If 24,950 students are from in state, how many students attend the college?
Answer:
33046 students
Step-by-step explanation:
Find how many students attend the college by dividing 24,950 by 0.755
24,950 / 0.755
= 33046.36
Round down, since the answer has to be a whole number:
33046.36
= 33046
So, approximately 33046 students attend the college
Use the following dot plot to answer the questions.
What is the mean of the set?
If an additional dot is added to the set in the 3 column, how will the mean change? What will the new mean be?
Answer:
3.4
Decrease ; 3.375
Step-by-step explanation:
Mean = Σfx / Σf
Σfx = (1 * 2) + (2 * 2) + (3 * 3) + (4 * 9) = 51
Σf = 1 + 2 + 3 + 9 = 15
Mean = 51 / 15 = 3.4
If 1 more dot is added to the 3rd column:
Σfx = (1 * 2) + (2 * 2) + (3 * 4) + (4 * 9) = 54
Σf = 1 + 2 + 4 + 9 = 16
Mean = 54 / 16 = 3.375
Which one is greater?
1.74 × 0.84
OR
1.79 × 0.69
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Answer:
1.75 * 0.84
Step-by-step explanation:
1.74 * 0.84 = 1.4616
1.79 * 0.69 = 1.2351
Answer:
1.74 x 0.84 is greater
Step-by-step explanation:
1.74 x 0.84 = 1.4616
while
1.79 x 0.69 = 1.23509
A=(2,3) B=(4,5)
Find vector equation of staraight line parallel to vector B and passing through point A hence obtain cartesian equation
Answer:
[tex]r= a + \lambda \: b \\ vector \: equation : \\ \binom{x}{y} = \binom{2}{3} + \lambda \: \binom{2}{2} \\ cartesian \: equation : \\ \frac{x - 2}{2} = \frac{y - 3}{2} = \lambda[/tex]
what is the approximate volume of the cylinder use 3.14 for π
Answer:
904.32 cm²
Step-by-step explanation:
V = πr²h
V = 3.14 × (6 cm)² × 8 cm
V = 904.32 cm²
The radius of a circle is 6.1 millimeters. What is the circle's area?
[tex]area = \pi \times {r}^{2} \\ area = 3.142 \times {6.1}^{2} \\ area = 3.142 \times 37.21 \\ area = 116.91 {mm}^{2} [/tex]
Answer this simple quick question!! Pls :)
Answer:
Zero, Never
Step-by-step explanation:
2 doesn’t equal 3 so it will never be true.
Write an expression having only two terms that is equivalent to 2x – 3. Explain how you wrote the expression and how you can check that it is equivalent.
Answer:
[tex]-3 + 2x[/tex]
Step-by-step explanation:
Given
[tex]2x - 3[/tex]
Required
An equivalent expression
The expression can be rewritten as:
[tex]-3 + 2x[/tex] ---- commutative property of addition
[tex]2x - 3[/tex] and [tex]-3 + 2x[/tex] are equivalent
An expression that has two terms that is equivalent to 2x – 3 is - 3 + 2x
Given:
2x - 3
There are just two terms in the expression
2x (coefficient)-3 (constant)The two terms can be written interchangeably to form a new expression equivalent to the same
-3 + 2x (This is based on the cummutative property of addition)
The new expression equivalent to 2x - 3 is -3 + 2x (minus 3 plus 2x)
Learn more about equivalent expression:
https://brainly.com/question/2972832
Find the dimensions of a box with a square base with surface area 5656 and the maximal volume. (Use symbolic notation and fractions where needed.)
Answer:
28.51 cubic units
Step-by-step explanation:
From the given information;
The surface area is 56 and not 5656
Let assume that:
the length of the base = a &
the height of the box = h
∴
The volume of the box = a²h &
The surface area (A) = 2a² + 4ah
A = 2a² + 4ah
56 = 2a² + 4ah
56 - 2a² = 4ah
[tex]h = \dfrac{56-2a^2}{4a}[/tex]
The volume (V) = a²h
[tex]V = a^ 2( \dfrac{56-2a^2}{4a}) \\ \\ V = \dfrac{56a -2a^3}{4} \\ \\ V = \dfrac{2a(28- a^2)}{4} \\ \\ V = \dfrac{(28-a^2)a}{2}[/tex]
Taking the maximum of this function by assuming v = [0, [tex]\sqrt{8}[/tex]]
[tex]V = \dfrac{a(28-a^2)}{2}[/tex]
[tex]V(0) = \dfrac{0(28-0^2)}{2}=0[/tex]
[tex]V(\sqrt{8}) = \dfrac{\sqrt{8}(28-(\sqrt{8})^2)}{2} \\ \\ \implies \sqrt{8} \dfrac{(28-8)} {2} \\ \\ = 10 \sqrt{8}[/tex]
For the critical point V' = 0
[tex]V = \dfrac{a(28-a^2)}{2} \\ \\ V = \dfrac{28a}{2}- \dfrac{a^3}{a} \\ \\ V = 14 a - \dfrac{a^3}{2} \\ \\ V' = 14 - \dfrac{3a^2}{2} \\ \\ 0 = 14 - \dfrac{3a^2}{2} \\ \\ 14 =\dfrac{3a^2}{2}\\ \\ a^2 = 14 \times \dfrac{2}{3} \\ \\ a^2 = \dfrac{28}{3} \\ \\ a = \sqrt{\dfrac{28}{3}} \\ \\ a = \sqrt{9.333} \\ \\ a = 3.055[/tex]
Thus, side of the base (a) = 3.055 units
Recall that:
height [tex]h = \dfrac{56-2a^2}{4a}[/tex]
[tex]h = \dfrac{56-2(3.055)^2}{4(3.055)}[/tex]
h = 3.0551 units
The maximum volume now = a²h
= (3.055)²(3.0551)
= (9.333)(3.0551)
= 28.51 cubic units
Answer:
x ( side of the square base) = 43,42 ul
h = ( the height f the box ) = 0,17 ul
Step-by-step explanation:
V = Ab * h where Ab is an area of the base and h is the height of the box
as is this case s a square base box then Ab = x² ( s the side of the square.
The surface area is ( box without lid): area of the base x² plus 4 lateral areas each one equal to x*h
So x² + 4 x*h = 5656 u²
Then 4*x*h = 5656 - x²
h = 5656 - x² )/ 4*x
V(x) = x² ( 5656 - x² )/ 4*x
V(x) = x ( 5656 - x² ) / 4
Tacking derivatives on both sides of the equation :
V´(x) = (1/4 ) * [ (5656 - x² ) - x *2*x]
V´(x) = (1/4 ) * ( 5656 - 3*x² )
v¨(x) = 0 (1/4 ) * ( 5656 - 3*x² ) = 0 3*x² = 5656
x² = 1885,33
x = √ 1885,33
x = 43,42 ul
And h = 5656 - x² )/ 4*x
h = [( 5656 - (43,42)²] /4 * 5656
h = 3770,70 / 22624
h = 0,17 ul
what is the approximate volume for a ice cream cone with a radius of 3 and a diameter of 14
Answer:
131.95
Step-by-step explanation:
[tex]v = \frac{1}{3} \times \pi \times {r}^{2} \times h[/tex]
[tex]v = \frac{1}{3} \times 3.142 \times {3}^{2} \times 14 \\ v = \frac{1}{3} \times 3.142 \times 9 \times 14 \\ v = 131.964 {cm}^{3} [/tex]
Find the perimeter X(-2,1) Y(4,3) Z(5,-1)
Answer:
17.728
Step-by-step explanation:
A biker traveled 20 miles in 4 hours. A unit rate to describe this would be 5 miles per hour. What is another unit rate in this situation?
1. 1/5 mile per hour
2. 1/5 hour per mile
3. 1 mile per hour
4. 5 hours per mile
Answer:
20 miles) / (4 hours) = (20/4) (miles/hours) = 5 miles per hour
(4 hours) / (20 miles) = (4/20) (hours/miles) = 0.2 hours per mile =
12 minutes per mile
Which values are solutions of the inequality 5 < y -8
8 , 9. , 13. , 15. , 20
Answer:
5 is greater than y-8 since 5 is positive it + in the begging +5 while - 8 is less than 0 because it has - in the begging
Answer: 15 and 20
Step-by-step explanation:
just did this
17/3 divided by 2/3 help please!:))
Answer:
0.94444444444
How many degrees Fahrenheit is -20°C?
answer:
-4°f
step-by-step explanation:
(-20°c × 9/5) + 32
= -4°f
good luck :)
i hope this helps
brainliest would be highly appreciated
have a nice day!
What is the area of the trapezoid?
Answer:
36 cm
Step-by-step explanation:
What is the volume of an 8-inch by 4-inch by 44-inch rectangular box?
Answer:
1408
Step-by-step explanation:
Answer:
1,408 cm³.
Step-by-step explanation:
To find the volume of a rectangular prism, or in this case, a rectangular box, multiply the length, width, and height.
[tex]4*8*44=1,408 in^3.[/tex]
Therefore, the volume of the rectangular box is 1,408 cm³.
Will mark brainlyiest
Answer:
8.3 units
Step-by-step explanation:
Refer to the notations above, we can use Pythagoras Theorem to find the hypotenuse of the red triangle on the base of the prism.
The hypotenuse of the red triangle
[tex] = \sqrt{ {7}^{2} + {4}^{2} } [/tex]
[tex] = \sqrt{65} [/tex]
The hypotenuse of the red triangle is the common side of the yellow triangle's base.
d is equal to the hypotenuse of the yellow triangle.
The length of d
[tex] = \sqrt{ { \sqrt{65} }^{2} + {2}^{2} } [/tex]
[tex] = \sqrt{65 + 4} [/tex]
[tex] = \sqrt{69} [/tex]
[tex] = 8.30662...[/tex]
= 8.3 units
Answer:
8.3 units
Step-by-step explanation:
A boat costs $11,000 and decreases in value by 7% per year. How much will the boat be worth after 6 years?
a. $16,508.03
b. $10,958.00
c. $7,116.89
d. $6,618.71
Answer:
Step-by-step explanation:
School X has eight more points than school Y
School X has three times as many points as school Y
How many points does each school have?
Answer:
Let point's possessed by school A = x
and point possessed by School B = y
And the statement given Regarding the school are :
School X has eight more points than School Y. School X has three times as many points as School Y .
Writing these statements in terms of equation
1. x = y + 8
2. x = 3 y
Substituting the value of x in y, we get
3 y = y + 8
Taking variable on left side of equation
3 y - y = 8
2 y= 8
y =
As , x= y + 8 gives x = 4 + 8 = 12
Point possessed by School A = 12 points
Points possessed by school B = 4 points
The graph of - 8x+2y = 8 passes through two points, P(p, 2) and
Q (-4, q). What is the value of pq?
Answer:
6
Step-by-step explanation:
All the steps are in the photo I attached
End Time: 5/28/2021 11:59 PM
Chapter 4 Exam: Dimensional Analysis
question 9 of 10
9.)
A clothing store sells an average of 6 pairs of jeans at $55 per pair, for every hour it is open. If the store is open 6 days per week for 9 hours
each day, how much money does the store make in 2 weeks? Round to the nearest dollar.
Answer:
$35,640
Step-by-step explanation:
$55×6p×12d×9h=$35,640
I WILL GIVE BRAINLIEST :D
Which NUMBERS are NOT expressed in scientific notation?
A. 3.5 x 10-4
B. 58.9 x 102
C. 9.3 x 106
D. 0.75 X 10-3
E. 6.47 x 1000
F. 1.88 x 104
Answer:
B., C., D., E., and F.,
Step-by-step explanation:
They all need exponents by a 10
SOLVE
ROUND TO THE NEAREST CENT IF NECESSARY
A UNIÓN CONTRACT CALLS FOR 6.9% SALARY INCREASE
FOR ALL EMPLOYEES
DETERMINE THE INCREASE
FOR A WORKER WHO IS CURRENTLY MAKING $32,120
WILL GIVE
BRAINLIST
X
X
X
X
Find the surface area of the cone. Round answer to the nearest tenth.*
Answer:
628.319 rounded= 628.3
Step-by-step
Ms. Thomas has a class of 16 students. She can spend 24 on each student to buy math supplies for the year. She first buys all of her students calculators, which costs a total of 79.04 . After buying the calculators, how much does she have left to spend on each student?
Answer: 19.06
Step-by-step explanation:
333zzzzzzzzzzzgggggggggggggh
Answer:
pointssss
Step-by-step explanation:
can somebody please answer this question correctly please
Answer:
sorry i don't know the answer
Answer:
so I know the first answer
Step-by-step explanation:
so total is 40 points but the total is divide by 2 points so we get 20 questions so if u get 6 wrong then you get 20-6=14... therefore the score with 6 wrong is 14
Put the following equation in slope-intercept form: y−5=7/4(x-1)
Answer:
y=7/4x+2
Step-by-step explanation:
The linear equation in the slope-intercept form will be y = (7/4)x + 13/4.
What is a linear equation?A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.
The linear equation is given as,
y = mx + c
Where m is the slope of the line and c is the y-intercept of the line.
The linear equation is given below.
y − 5 = 7/4(x − 1)
Convert the equation into a slope-intercept form. Then we have
y − 5 = 7/4(x − 1)
y − 5 = (7/4)x − (7/4)
y = (7/4)x − (7/4) + 5
y = (7/4)x + 13/4
The linear equation in the slope-intercept form will be y = (7/4)x + 13/4.
More about the linear equation link is given below.
https://brainly.com/question/11897796
#SPJ2