Answer: Find the volume of a rectangular prism whose length, width, and height are 8cm, 6cm, and 4cm, respectively. Therefore, the volume of a rectangular prism is 192 cm 3.
A doctor conducts a survey with a random sample of his patients, measuring their cholesterol levels in millimolar per liter.
The data measurements for 14 patients are given below. Assuming the population standard deviation is o = 1.3 and that
the population is normally distributed, compute a 90% confidence interval for the mean cholesterol levels of his patients.
Round your answers to two decimal places and use ascending order.
Using the z-distribution, as we have the standard deviation for the population, it is found that the 90% confidence interval for the mean cholesterol levels of his patients is (5.59, 6.73).
What is a t-distribution confidence interval?The confidence interval is:
[tex]\overline{x} \pm z\frac{\sigma}{\sqrt{n}}[/tex]
In which:
[tex]\overline{x}[/tex] is the sample mean.z is the critical value.n is the sample size.[tex]\sigma[/tex] is the standard deviation for the sample.In this problem, we have a 90% confidence level, hence[tex]\alpha = 0.90[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.9}{2} = 0.95[/tex], so the critical value is z = 1.645.
Researching on the internet, the other parameters are given by:
[tex]\overline{x} = 6.16, \sigma = 1.3, n = 14[/tex]
Hence:
[tex]\overline{x} - z\frac{\sigma}{\sqrt{n}} = 6.16 - 1.645\frac{1.3}{\sqrt{14}} = 5.59[/tex]
[tex]\overline{x} + z\frac{\sigma}{\sqrt{n}} = 6.16 + 1.645\frac{1.3}{\sqrt{14}} = 6.73[/tex]
The 90% confidence interval for the mean cholesterol levels of his patients is (5.59, 6.73).
More can be learned about the z-distribution at https://brainly.com/question/25890103
How far could the Apostle Paul walk in 4.5 hours if he walked an average of 4.3 kilometers per hour?
Answer 19.35 km
Step-by-step explanation:
We are looking for the Distance that Apostle Paul walked in 4.5 Hours!
I will be using the formula Distance=rate*time 1)
We DONT know the distance so I'll leave it as variable "D".
We know his rate of walking is 4.3 km/h, and we know he walked for a total of 4.5 hours.
Set up the following equation. D=4.3*4.5 2)
Simplify the equation above: D=19.35
In a certain triangle, two of the sides have measures of 13 and 16. If the triangle is isosceles, then which of the following could be the measure of the third side?
A. 3
B. 29
C. 13
D. 32
PLEASEEE help! I think it's A or B
Answer:
Choice C.
An isosceles triangle always has two sides of the same length.
What is the next time: 8:30 A.M., 10:00 A.M., 11:30 A.M., _______? A) 1:00 P.M. B) 1:00 A.M. C) 1:30 P.M. D) 1:30 A.M.
Answer:
A 1 PM
Step-by-step explanation:
Becasue it grows by an hour and a half each time
Answer: Easy. A. 1 pm.
.
A rectangular room is 21 feet wide. It is
three times as long as it is wide. What is
the perimeter of the room?
Answer:
I think the answer is 7
Step-by-step explanation:
7 multipled my 3 equals 21.
Can someone please help me with this
Answer:
Vertex: (-1 , 50)
Axis of Symmetry: x = -1
y - intercepts: (0 , 48)
Find simple interest
Principal=rs 4000
Time :2
rate of interest :10%
Step-by-step explanation:
please mark me as brainlest
Step-by-step explanation:
Simple Interest is calculated using the following formula: SI = P × R × T/100, where P = Principal , T is time and r is interest rate.
So , by the values given
Principal :-rs 4000
Time :-2
rate of interest :- 10%
[tex] \frac{p \times r \times t}{100} [/tex]
[tex] \frac{4000 \times 10 \times 2}{100} [/tex]
[tex] = 800 \: rs[/tex]
What is the explict rule for the geometric sequence? 9,6,4, 8/3 Enter your answer in the box. an=
Answer:
an = 9(⅔)^(n-1)
Step-by-step explanation:
The formula for explicit is: An = a1(r)^(n-1)
Complete or justify each step. 2(2h + 2)2(3h + 5) - 12 Distributive Property 4h + 4 < 6h-2 Simplify (combine like terms). 4h+ 4- 6h 6h-2-6h - 2h + 4<-2 simplify-2h<-6 simplify h>3
Answer:
7[tex]\geq[/tex][tex]\frac{h}{14}[/tex]
Step-by-step explanation:
Mark brainliest
Which of the following is a right triangle?
70°
60
30*
249
459
128
90°
45°
/60°
60°
55
559
Triangle A
Triangle e
Triangle C
Triangle D
A. Triangle C
B. Triangle D
C. Triangle A
D. Triangle B
SUBMIT
Answer:
Triangle C
Step-by-step explanation:
Triangle C contains a 90° angle.
Answer:
Triangle C
Step-by-step explanation:
The right triangle has one side that is 90° the other two sides have to add up to 90° (45 + 45= 90)
Help help help help
Answer:
h=3/2. V=3(root)3
Step-by-step explanation:
Find the surface area of the cube.
[tex]\rightarrow[/tex] Side(a) of the cube = [tex]\sf{\frac{1}{3}ft}[/tex].
To Find:-[tex]\rightarrow[/tex] Surface Area of the cube with side [tex]\sf{\frac{1}{3}ft.}[/tex]
Formula Used:-[tex]\rightarrow[/tex] Surface area of cube = [tex]\sf{6a^2}[/tex]
Solution:-[tex]\rightarrow[/tex] Surface area of cube = [tex]\sf{6a^2}[/tex] (putting the value of a from the above given)
[tex]\rightarrow[/tex] [tex]\sf{=\:6×(\frac{1}{3})^2}[/tex]
[tex]\rightarrow[/tex] [tex]\sf{=\:6×\frac{1}{9}}[/tex]
[tex]\rightarrow[/tex] [tex]\sf{=\:\frac{6}{9}}[/tex]
[tex]\rightarrow[/tex] [tex]\sf{=\:\frac{2}{3}ft^2}[/tex]
Therefore, surface area of the given square = [tex]\sf{=\:\frac{2}{3}ft^2}[/tex]
__________________________________
Hope it helps you:)
Answer:
Step-by-step explanation:
there are 6 square faces of a cube.
if side=x
surface area=6x²
=6(1/3)²
=6/9
=2/3 square foot
Find the Sum.
29, 8 67
+ 14, 938
Answer:
44805
Step-by-step explanation:
i just added them together lol
Answer:
the answer is 44805
Step-by-step explanation:
just add them together
EXPLAIN AND SOLVE THE EQUATION
Answer:
1st answer: 61000+(X-1) x 700
2nd answer: 64500
Step-by-step explanation:
Since it says the population increases linearly, which means by the same amount, it is an arithmetic progression. So the formula to find a term in arithmetic progression is [tex]T_{n}[/tex]=a + ( n - 1 ) x d , where a is the first term, n is number of terms, and d is common difference. So now just put the values in the equation, where 61000 is a, x is n and d is 700. To find second answer put 6 in place of n as it says from 2003 to 2009 which is 6 years later.
Please helpppppppppppppp <3
Answer:
Part 1: -10, -5, 0, 8 Part 2: -3/2, -15%, 0.80, 143%, 2 1/4
Step-by-step explanation:
Part 1: The lower the number, the lower the temperature
Part 2: Convert the fractions into decimals
2 1/4 = 2.25
-15% = -0.15
143% = 1.43
-3/2 = -1.5
0.80 = 0.80
The order from least to greatest is -3/2, -15%, 0.80, 143%, 2 1/4
Hope this helps :)
One natural number is 4 more than another one. The product of the two numbers is three times the square of the lesser
number. Find the numbers.
Answer:
2 and 6
Step-by-step explanation:
Which of the following choices represents the average of other four?
A)4. B)-3. C). -4. D). -17. E). 5
Answer:
B
Step-by-step explanation:
Let's add some numbers together and divide by the numbers of numbers. The answer should be among these.
4 + 5 + -4 + -3 = 2
4/2 = 2.
-17 + -4 + 4 + 5 = -12
-12/4 = -3.
The answer is B.
What is the volume of a sphere with a diameter of 50 cm
since we know the diameter is 50, then its radius is half that or 25.
[tex]\textit{volume of a sphere}\\\\ V=\cfrac{4\pi r^3}{3}~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ r=25 \end{cases}\implies \begin{array}{llll} V=\cfrac{4\pi (25)^3}{3}\implies V=\cfrac{62500\pi }{3} \\\\\\ V\approx 65449.85~cm^3 \end{array}[/tex]
50 Points! A section of wall for a mural is shaped like a parallelogram with a base length of 7 feet and a height of 11 feet. A can of paint will cover 20 square feet.
nvm it was 4
Area = length x height:
Area = 7 x 11 = 77 square feet.
divide area of wall by area per can:
77/20 = 3.85 cans
they will need to buy 4 cans
f(x) = x^1/2 is continuous for all x but not differentiable at x=0. is it True or False?
Answer:
it's true because the x=0 and that why it must be true FX may be the some I would say it's true
what shape is this will give brainliest and all that
Answer:
that is a Trapezoid
Step-by-step explanation:
it has two lines that are parallel and two lines that are not. crd. MathGeek99
Answer:
I believe it is a Quadrilateral
Step-by-step explanation:
It's a quadrilateral because of how many sides it has and other stuff
Solve and will mark brainliest
Answer:
24 degrees
Step-by-step explanation:
24 degrees because
angle a is 24 degrees
and since its the middles and main angle
24 degrees is the answer
What is the dividend yield on Stock A that sells at
$15/share, when Company A pays a quarterly
dividend of $0.20 per share?
dividend yield = [?] %
Give your answer as a percent rounded to the
nearest tenth
Hint: Dividend Yield
annual dividend
share price
Answer:
5.3%
Step-by-step explanation:
The annual dividend is 4 times the quarterly dividend, so is $0.80 per share. The yield is the ratio of that to the share price:
yield = $0.80/$15.00 ≈ 0.05333... ≈ 5.3%
The dividend yield is 5.3%.
Find f(x+2) if f(x)=(5x^2)-2x+3
Answer:
Use the given functions to set up and simplify f(x+2).
5x2+18x+19 This is the Answer if using The Function Operation.
-------------------------------------------------------------------------------------------------------
10x−2 This is the Answer if you want to find the Derivative
--------------------------------------------------------------------------------------------------------
I don't know if my answer is right if it's wrong I am sorry.
Anyways have an amazing day!
help pls i really need help
Answer:
See belowStep-by-step explanation:
We see the segment of length of 3 is divided by 3 and each of units divided by 4.
The number of purple rectangles is 12.
This can be expressed as:
Number of fourths in 3, this is same as 123 ÷ 1/4 = 12, same as aboveThe other options are not matching this model. They all end up with part of the line segment.
Three of them result in 3/4 and one results in 4.
PLEASE HELP!!! I"LL MARK AS BRAINLIEST!!!A local water park has two types of season passes. Plan A costs a one-time fee of $139 for admission plus $8 for parking every trip. Plan B costs a one-time fee of $43 for parking plus $24 for admission every trip. How many visits must a person make for plan A and plan B to be equal in value?
Answer:
6 visits
Step-by-step explanation:
Plan A: 139+8x
Plan B: 43+24x
Set the equations equal to each other.
[tex]139 + 8x = 43 + 24x[/tex]
Subtract 43 from both sides.
[tex]96 + 8x = 24x[/tex]
Subtract 8x from both sides.
[tex]96 = 16x[/tex]
Divide both sides by 16.
[tex]x = 6[/tex]
PLEASE HELP PLEASE I WILL GIVE BRAINLIEST
Answer:
QUESTION:1:TYLERCOMPLETELY FILLED THE BOX SHOWN BELOW WITH UNIT,CUBES WITH NO GAPS OR OVERLAPS.HE THEN VOUNTED THE NUMBER OF CUBES THAT HE USED TO FILL THE BOX WHAT TYPE OF MESUREMENT IS REPRESENTED BY THE NUMBER OF CUBES TYLER COUNTED?(5.MD.3)A.AREA B.HEIGHT C.VOLUME D.PERIMETER The CORRECT OPTION :C.VOLUMEStep-by-step explanation:
pls brainlest me thank youIf the difference of 3 / 4 and 1 / 6 of a number is 7, find the number and also verify your answer.
length of a rectangle is three times its width. if the length of the rectangle is 64 in, find the width and length
Answer:
Length: 64
Width = 21 1/3
Step-by-step explanation:
Width = Length 64 * 1/3 Width
Width = 21.3333333 or 21 1/3
Answer:
[tex]l=64 in[/tex]
[tex]w=21.3333in[/tex]
Step-by-step explanation:
[tex]l=3w[/tex]
[tex]\frac{64}{3} =21.3333[/tex]
Classement pays médaille d'or de cyclisme moyennes 70 %pays...
Answer:
Classement pays médaille d'or de cyclisme moyennes 70 %paga...
Step-by-step explanation: