Answer:
The confidence interval will be "41.04, 43.81".
Step-by-step explanation:
Given that,
Sample size,
n = 10
Sample total,
423.5
Sample mean,
[tex]\bar X =\frac{423.5}{10}[/tex]
[tex]=42.35[/tex]
Sample variance,
[tex]s = \sqrt{4.5894}[/tex]
[tex]=2.1423[/tex]
[tex]df=n-1[/tex]
[tex]=9[/tex]
[tex]t^*=18331[/tex]
Now,
The margin of error will be:
⇒ [tex]E=\frac{s\times t^*}{\sqrt{n} }[/tex]
[tex]=\frac{2.1423\times 1.8331}{\sqrt{9} }[/tex]
[tex]=\frac{3.928}{3 }[/tex]
[tex]=1.309[/tex]
hence,
The 90% confidence level will be:
= [tex](\bar X-E),(\bar X+E)[/tex]
By substituting the values, we get
= [tex](42.35-1.309),(42.35+1.309)[/tex]
= [tex](41.04),(43.81)[/tex]
WILL GIVE U BRAINLIEST
True or False: All obtuse triangles are scalene?
Answer:
False
Step-by-step explanation:
an obtuse triangle maybe isosceles or scalene
Find the exact value of tan A in simplest radical form.
PLEASE HELP
Answer:
[tex] \tan(A) = \frac{opp}{adj} \\ \tan(A) = \frac{ \sqrt{72} }{3} \\ \tan(A) = \frac{ \sqrt{36 \times 2} }{3} \\ \tan(A) = \frac{6 \sqrt{2} }{3} \\ \tan(A) = 2 \sqrt{2} [/tex]
What is the greatest common factor of the two terms
24x^6 and 18x^4
30x^3y^5 and 25x^2y
24x⁶ and 18x⁴ —> 6x⁴
30x³y⁵ and 25 x²y —> 5x²y
A square pyramid has a volume of 1350 ft3. If the base is a square with side
lengths 15 feet, what is the height?
Which does NOT have a value of 4 when
simplified?
1. 5.6x0.15 + (-3.16)
1. (-7x23) + (-43)
III. -5.6+4(3)
Answer:
3 beause when you dividend it -5.6+4(3) .
Help Please!
which of the following is the solution to the inequality below?
-6(4-x) = -4(x+1)
A. X=10
B. X=2
C. X>/=10
D. X>/=2
Answer:
The answer to this question is x=2
Sami made 23,400 last year in income from his job. He worked 30 hours per week and worked all 52 weeks of the year. What was his hourly pay rate?
Answer:
$15 per hour
Step-by-step explanation:
30 hours per week x 52 weeks in a year = 1560 hours per year
23,400 / 1560 = $15 per hour
A car dealer just took delivery on forty new cars. He plans to put four of these cars on display at the front of the lot. In how many ways can the dealer combine four of the forty cars if order is not important?
A. 1,096,680
B. 91,390
C. 45,695
D. 2,193,360
Answer:
B. 91,390
Step-by-step explanation:
I've had this question before, I don't like'em, but that's the answer.
Answer:
option B
Step-by-step explanation:
[tex]40C_4 = \frac{40\times 39 \times 38 \times 37}{1 \times 2 \times 3 \times 4} = 91,390[/tex]
What is the length of x?
Answer:
9.04
Step-by-step explanation:
tan 37 = x/12
0.7536 x 12= x
x = 9.04
Please help and thank you
( ignore the answer I clicked)
Answer:
Step-by-step explanation:
Answer:
your answer is correct. a trapezoid can be defined by it's set of parallel sides
Step-by-step explanation:
If the shape you're looking at doesn't have at least one set of parallel sides, it's not a trapezoid;
Every morning Ramona misses her bus with probability 1/10, independently of other mornings. What is the probability that next week she catches her bus on Monday, Tuesday, and Thursday, but misses her bus on Wednesday and Friday
Answer:
The probability is [tex]\frac{729}{100000}[/tex].
Step-by-step explanation:
probability of missing the bus = 1/10
Probability of catching the bus = 1 - 1/10 = 9 /10
So, the required probability is
[tex]\frac{9}{10}\times \frac {9}{10}\times \frac {1}{10}\times \frac {9}{10}\times \frac {1}{10}[/tex]
[tex]\frac{729}{100000}[/tex]
A cone has a radius of 5 ft and a height of 15 ft. It is empty and is being filled with water at a constant rate of 15 15 ft 3 ft3 / sec sec . Find the rate of change of the radius of the surface of the water when the radius of the surface of the water is 2 2 ft. (You must also include the units)
Answer:
[tex]\frac{dr}{dt}=0.11062ft/sec[/tex]
Step-by-step explanation:
From the question we are told that:
Radius [tex]r=5ft[/tex]
Height [tex]H=15ft[/tex]
Rate [tex]R=15ft/3sec =5ft/s[/tex]
Surface Radius [tex]R_{surf}=2.2ft[/tex]
Generally the equation for Volume is mathematically given by
[tex]V=\frac{1}{3}\pi*r^2h[/tex]
Since radius to height ratio gives
[tex]\frac{r}{h}=\frac{5}{15}[/tex]
[tex]\frac{r}{h}=\frac{1}{3}[/tex]
[tex]h=3r[/tex]
Therefore
[tex]V=\frac{1}{3}\pi*r^2(3r)[/tex]
[tex]V=\pi r^3[/tex]
Generally the equation for Change of Volume is mathematically given by
[tex]\frac{dv}{dt}=\pi \frac{d}{dt}(r^3)[/tex]
[tex]\frac{dv}{dt}=\pi 3*r^2 \frac{dr}{dt}[/tex]
[tex]\frac{dv}{dt}=\pi 3*(2.2)^2 \frac{dr}{dt}[/tex]
[tex]\frac{dr}{dt}=\frac{5}{45.62}[/tex]
[tex]\frac{dr}{dt}=0.11062ft/sec[/tex]
Please answer :D pretty simple for math experts I’m just bad
Answer: 74 inches
Step-by-step explanation:
Since we are given the equation of the regression line for the son's height y to be:
y = 0.5x + 38
where,
x = father's height = 72 inches
Then, we put the value of x into the equation and this will be:
y = 0.5x + 38
y = 0.5(72) + 38
y = 36 + 38
y = 74 inches
Therefore, the son is 74 inches.
Suppose that y varies inversely with x, and y= 3 when x = 10.
(a) Write an inverse variation equation that relates x and y.
Equation:
(b) Find y when x = 5
y =
Answer:
y=6
Step-by-step explanation:
the equation that relates x and y is y=30(1÷x)
What is 150 millimetres in meters ?
Answer: 0.15meters
that the answer
I REALLY NEED HELP PLS I NEED THIS DONE TODAY!!! JUST LOOK AT THE PICTURE!!!
Answer:
147 sq meters
Step-by-step explanation:
To find the area of a trapezoid, use the formula ( (a+b)/2 ) x h, where a is base value 1 and b is base value 2. Plugging it all in : ( (4+17)/2 ) = 10.5 x 14 = 147 sq meters.
Answer: the answer is 147 square meters.
Step-by-step explanation:
formula: (a+b)/2 * h
bases are a and b: 4 and 17 meters.
h =14 meters
Plug numbers in (4+7)/2*14
solve and you get 147 square meters as answer
Fill in the missing monomials: 100x^2= (____)^2
ITS NOT 100
Answer:
(10x)^2
Step-by-step explanation:
Help me please I am not sure about the answer
Answer:
(a)
[tex] {x}^{2} + 2x \\ = x(x + 2)[/tex]
(b)
[tex]2 {x}^{2} - 6x \\ = 2x(x - 3)[/tex]
(c)
[tex]15x - 10 {x}^{3} \\ = 5x(3 - 2 {x}^{2} )[/tex]
(d)
[tex]9 {x}^{2} + 3 {x}^{3} \\ 3 {x}^{2} (3 + x)[/tex]
Can someone please help me on this work I really need help I will but you brainly
Answer:
-3 1/4 is the answer for this question
Solve the system of linear equations by elimination. Show your work
2x-y=-3
4x + 3y = -21
Answer:
x = -3, y = -3
Step-by-step explanation:
Solve the following system:
{-y + 2 x = -3 | (equation 1)
3 y + 4 x = -21 | (equation 2)
Swap equation 1 with equation 2:
{4 x + 3 y = -21 | (equation 1)
2 x - y = -3 | (equation 2)
Subtract 1/2 × (equation 1) from equation 2:
{4 x + 3 y = -21 | (equation 1)
0 x - (5 y)/2 = 15/2 | (equation 2)
Multiply equation 2 by 2/5:
{4 x + 3 y = -21 | (equation 1)
0 x - y = 3 | (equation 2)
Multiply equation 2 by -1:
{4 x + 3 y = -21 | (equation 1)
0 x+y = -3 | (equation 2)
Subtract 3 × (equation 2) from equation 1:
{4 x+0 y = -12 | (equation 1)
0 x+y = -3 | (equation 2)
Divide equation 1 by 4:
{x+0 y = -3 | (equation 1)
0 x+y = -3 | (equation 2)
Collect results:
Answer: x = -3, y = -3
The area of the base of a cylinder is equivalent to the base of a circle? A) True. B) False
Answer:
Yes
Step-by-step explanation:
The base of both the cylinder and Circle are both circles.
C. 20 people show up to the party, and Robert decides to give them each the
same amount of pizza. How much pizza does each person get?
Answer:
Step-by-step explanation:3/5 of the pizza
A rectangle has a perimeter of 14 cm and length x cm. show that the width of the rectangle is (7-x)cm and hence that the area A of the rectangle is given by the formula A= x(7-x). Draw the graph, plotting x on the horizontal axis with a scale of 2cm to 1 unit, and A on the vertical axis with a scale of 1cm to 1 unit
take x from 0 to 7. From the graph find:
a) the area of the rectangle when x = 2.25cm
b) the dimensions of the rectangle when its area is 9cm^2
c) the maximum area of the rectangle
d) the length and width of the rectangle corresponding to the maximum area
e) what shape of the rectangle has the largest area
Answer:
B
Step-by-step explanation:
the dimensions of the rectangle when its area is 9cm^2
The Briarwood Middle School Chess club has 75 members. Of those members, 15 are 7th graders. What percent of the chess club members are not 7th graders?
(Proportional Reasoning)....
I would really appreciate, if you answered.
Answer:80
Step-by-step explanation: I am not 100% sure this is right but what i did was 75 - 15 =60, 60/75 in percentage is 80%
Given f (x) = 3 x minus 1 and g (x) = 2 x minus 3, for which value of x does g (x) = f (2)?
f ( x ) = 3x - 1
g ( x ) = 2x - 3
_____________________
g ( x ) = f ( 2 )
2x - 3 = 3(2) - 1
2x - 3 = 6 - 1
2x - 3 = 5
2x - 3 + 3 = 5 + 3
2x = 8
2x ÷ 2 = 8 ÷ 2
x = 4
A chocolate milk container in the form of a rectangular prism is 5 cm long, 3 cm wide, and 9 cm high. How many cubic centimeters of chocolate milk can it hold?
WITH SOLUTION PLEASE
Hello there I hope you are having an great day :) A chocolate milk container in the form of a rectangular prism is 5 cm long, 3 cm wide, and 9 cm high. How many cubic centimetres of chocolate milk can it hold?
V = L x W x H
Volume = length x Width x Height.
V = (5cm) (3cm (9cm)
V = 135cm^3
Therefore, the chocolate milk container can hold 135 cubic centimetres. Hopefully that helps you :)
Enter the correct answer in the box.
Simplify the expression (62,4.
Answer:
1679616
Step-by-step explanation:
Find the value of h.
Question 6 options:
A)
51.995
B)
28.321
C)
62.003
D)
95.476
Answer:
D. 95.476.
Step-by-step explanation:
sin 33 = 52/h
h = 52/sin 33
h = 95.476.
Answer:
Step-by-step explanation:
We will use right triangle trig and SohCahToa here to solve this. The side across from the angle marked as 33 degrees is given as 52; we are looking for h, the hypotenuse. The trig ratio that uses the the side across from the reference angle along with the hypotenuse is the sin ratio. Setting up the equation:
[tex]sin33=\frac{52}{h}[/tex]. Multiply both sides by h and then divide by sin(33) to get
[tex]h=\frac{52}{sin33}[/tex] so
h = 95.476, choice D.
Make sure your calculator is in degree mode and not radians when your angles are given in degrees
Given f(x) = 2x – 6, find f( – 4).
Answer:
f(-4) = -14
Step-by-step explanation:
f(x) = 2x – 6
Let x = -4
f(-4) = 2*-4 -6
f(-4) = -8-6
f(-4) = -14
Answer:
The answer is -14
Step-by-step explanation:
f(-4) = 2(-4) - 6
= -8 - 6
= -14
Which ordered pair belongs to the function shown by this mapping diagram?
Answer:
{(7, 3), (8, 1), (9, 1), (10, 2)}
Step-by-step explanation:
Options are missing for this given problem, however, let's find the ordered pairs that should belong to the function shown by the mapping above:
We have the x-values (inputs) on our left while the corresponding y-values (outputs) are on our right.
The ordered pairs (x, y) are as follows:
{(7, 3), (8, 1), (9, 1), (10, 2)}