The diameter of a circle is 15 ft. Find its circumference in terms of \piπ.
Answer:
47.1 ft
Step-by-step explanation:
dx[tex]\pi[/tex]=C
15x3.14=
47.1
Answer:
18
Step-by-step explanation:
find the perimeter of the figure
as we are to find the perimetre of a circle 2πr
it will be 87.96m
since its a semi circle lets just divide by 2
now we get our answer that's 43.96m
What is the surface area of the triangular prism shown?
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Answer:
(b) 976 m³
Step-by-step explanation:
The total surface area is the sum of the areas of the faces and bases.
The two bases are triangles, each with area ...
A = 1/2bh
So, the two of them together will have an area of ...
A = 2(1/2)bh = bh
where b is the base of the triangle, and h is its height. These values are shown as 14 m and 24 m, respectively.
Total base areas = (14 m)(24 m) = 336 m²
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The total area of the rectangular faces is the sum of products of length and width. The width of each face is the same as the height of the prism, and the sum of face lengths is the perimeter of the triangular base.
The prism height is 10 m, and the perimeter of the base triangle is (14 m +25 m +25 m) = 64 m. Then the lateral area of the prism is ...
Total lateral area = (10 m)(64 m) = 640 m²
So, the total surface area of the prism is ...
base area + lateral area = 336 m² + 640 m² = 976 m²
Last year there was a pandemic caused by xyz virus in the city of Abc. The population of the city is 15 million. The health authorities of the city are estimating that more than 3% of the people of this city were infected by this virus. In order to test this statement, they collected a sample of 1000 individuals of this city and conducted an antibody test on them. The results of the analysis showed that 40 individuals out of those 1000 people got infected during the pandemic. Is there evidence to support that more than 3% of the population of the city got infected by the virus? Use hypothesis testing.
Answer:
There is significant evidence to support that more than 3% of the population of the city got infected by the virus.
Step-by-step explanation:
x = 40 ; n = 1000
phat = x / n = 40 / 1000 = 0.04 = 4%
H0 : p = 0.3
H1 : p > 0.3
The test statistic :
(Phat - P) ÷ √(p(1 - p) / n)
1 - p = 1 - 0.3 = 0.7
(0.4 - 0.3) ÷ √(0.3(0.7) / 1000)
0.1 ÷ 0.0144913
= 6.9
Pvalue ; Using the Pvalue from Zstatistic calculator :
Pvalue < 0.00001
Reject H0, if Pvalue < α
0.00001 < α ; We reject H0 ; Hence, there is significant evidence to support that more than 3% of the population of the city got infected by the virus.
Which set of shapes could be used to form a net for a square tvyranni?
01 square and 4 triangles
O 2 squares and 4 triangles
O l square and 4 rectangles
O 2 squares and 4 rectangles
2 friends want to equally share of a bag of chocolate cookies. What
fraction of the bag will will each friend get to eat?
Answer:
is this a joke question? it is very easy. one half or 1/2
Step-by-step explanation:
What is the difference quotient of the function, g(a) = StartFraction 8 minus a Over 4 EndFraction?
PLEASE HELP
Given:
The function is:
[tex]g(a)=\dfrac{8-a}{4}[/tex]
To find:
The difference quotient of the function.
Solution:
Formula for difference quotient of the function f(x) is:
[tex]DQ=\dfrac{f(x+h)-f(x)}{h}[/tex]
We have,
[tex]g(a)=\dfrac{8-a}{4}[/tex]
The difference quotient of the function g(a) is:
[tex]DQ=\dfrac{g(a+h)-g(a)}{h}[/tex]
[tex]DQ=\dfrac{\dfrac{8-(a+h)}{4}-\dfrac{8-a}{4}}{h}[/tex]
[tex]DQ=\dfrac{\dfrac{8-a-h-8+a}{4}}{h}[/tex]
[tex]DQ=\dfrac{-h}{4h}[/tex]
[tex]DQ=-\dfrac{1}{4}[/tex]
Therefore, the difference quotient of the given function is [tex]-\dfrac{1}{4}[/tex].
Answer:
They are right, It is -1/4. The second one.
Step-by-step explanation:
Edge 2021
A teacher wrote this experssion on the board (-6)(2)+(-8÷4) what is the vaule of this expression
Answer:
-14
Step-by-step explanation:
(-12)+(-2)
You solve using Pemdas, doing the (-8/4) first, and then doing (-6)(2)
The answer is the two values added together.
find the values of X and Y so that the quadrilateral shown is a parallelogram
Answer:
[tex]x =13[/tex]
[tex]y = 24[/tex]
Step-by-step explanation:
Given
The attached figure
Required
Find x and y
To solve for x, we use:
[tex]2x +30 = 5x - 9[/tex] --- corresponding angles
Collect like terms
[tex]5x - 2x = 30 +9[/tex]
[tex]3x = 39[/tex]
Solve for x
[tex]x = \frac{39}{3}[/tex]
[tex]x =13[/tex]
To solve for y, we use:
[tex]\frac{1}{2}y = y - 12[/tex] --- opposite angles at diagonal
Collect like terms
[tex]\frac{1}{2}y - y =- 12[/tex]
[tex]-\frac{1}{2}y =- 12[/tex]
Divide both sides by -1/2
[tex]y = 24[/tex]
[tex] as \: a \: dicimal \: \frac{11}{40} = 0.275 \\ work \: out \: \frac{33}{400} \: as \: a \: dicimal[/tex]
Answer:
0.0825
Step-by-step explanation:
33/400=0.0825
Someone help! I will really appreciate it if someone helped me.
Answer:
A
E
F
Step-by-step explanation: there the even ones
Campsite A and campsite B are located directly opposite each other on the shores of Lake Omega, as
shown in the diagram below. The two campsites form a right triangle with Sam's position, S. The distance
from campsite 8 to Sam's position is 1,300 yards, and campsite A is 1,700 yards from his position.
A
1,700 yards
Lake Omega
B
1,300 yards
S
What is the distance from campsite A to campsite B, to the nearest yard?
Answer:
c
Step-by-step explanation:
3.2468 rounded to the nearest
hundredth
and thousandth
Answer:
3,266.53
Step-by-step explanation:
Rounded to the nearest hundreth thousandths
HELP ME PLEASEEEEEEEEEEE
Answer:
d is equal to 4
Step-by-step explanation:
to do this problem divide both sides by 0.5 to isolate the variable d
0.5d = 2
d = 4
Answer:
4
Step-by-step explanation:
You want to get d all by its self. So, divide both sides by 0.5.
2 ÷ 0.5 = 4
d ÷ 0.5 = d
Then you get:
d = 4
Hope this helps!
Lisa made a chocolate milkshake in the blender for her daughter. The milkshake occupies just a little more than 75 cubic inches of space in the blender pitcher. When serving the milkshake to her daughter, she has three glasses to choose from. Determine whether or not each of the three classes is large enough to contain all of the chocolate milkshake that Lisa made for her daughter. Use 3.14 to approximate .
Glass A with a height of 2.1 inches and a diameter of 5 inches is
to contain the entire chocolate milkshake.
Glass B with a height of 2.7 inches and a radius of 4.6 inches is
to contain the entire chocolate milkshake.
Glass C with a height of 3.1 inches and a radius of 2.7 inches is
to contain the entire chocolate milkshake.
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Answer:
Only Glass B is large enough
Step-by-step explanation:
For repetitive calculations, I like to use a calculator or spreadsheet. The attachment shows the volumes for the three glasses. Only Glass B has a volume that exceeds 75 cubic inches.
__
Note that Glass A has a diameter of 5 inches, so a radius of 2.5 inches.
Choose the best answer
8 <2(a + 3) < 10
Please need help at this
Answer:
1 < a < 2
Step-by-step explanation:
8 < 2 (a+3) <10
8 < 2a+6 < 10 (Simplify all parts of the inequality)
8+ −6 < 2a +6+ −6 < 10+ −6 (Add -6 to all parts)
2 < 2a < 4
2/2 < 2a/2 < 4/2 (Divide all parts by 2)
=1 < a < 2
At one school, the ratio of boys to girls in the seventh grade is 12:11. There are 66 girls in the seventh grade. How many boys are there?
Answer:68
Step-by-step explanation:
I guesses but most likely right lol
Find the volume of the prism
Juan has $72, which is 6 times as much money as Kayla has. How much
money does Kayla have? Select the correct solution method, using x to
represent Kayla's money.
Answer:
12
Step-by-step explanation:
because 6x=72 so you could do 72/6 which 72/6 is 12 so the answer is 12
please help !! asap !!
Find the sum of the arithmetic series given a1=8,a14=99,n=14.
Answer:
The sum of the series is: 749
Step-by-step explanation:
Given
[tex]a_1 = 8[/tex]
[tex]a_{14} = 99[/tex]
[tex]n = 14[/tex]
Required
The sum of the series
This is calculated using:
[tex]S_n = \frac{n}{2}[a_1 + a_n][/tex]
Substitute 14 for n
[tex]S_{14} = \frac{14}{2}[a_1 + a_{14}][/tex]
[tex]S_{14} = 7[a_1 + a_{14}][/tex]
Substitute values for a1 and a14
[tex]S_{14} = 7[8 + 99][/tex]
[tex]S_{14} = 7*107[/tex]
[tex]S_{14} = 749[/tex]
pls help fast!!!! what is x
Answer: 12
Step-by-step explanation: Plug in and use pythagorean theorem
What is the radius of circle OOO?
Answer:
huh?
Step-by-step explanation:
Answer:
What is the diameter?
Step-by-step explanation:
Your radius is half of your diameter
To solve y and x, I am adding a picture
Answer:
[tex]x =\sqrt 5[/tex]
[tex]y = \sqrt{5[/tex]
Step-by-step explanation:
Given
The attached triangle
Required
Solve for x
Considering angle 45 degrees, we have:
[tex]\cos(45) = \frac{y}{\sqrt{10}}[/tex] --- cosine formula i.e. adj/hyp
Solve for y
[tex]y = \sqrt{10} * \cos(45)[/tex]
In radical form, we have:
[tex]y = \sqrt{10} * \frac{1}{\sqrt 2}[/tex]
[tex]y = \sqrt{10/2}[/tex]
[tex]y = \sqrt{5[/tex]
To solve for x, we make use of Pythagoras theorem
[tex]x^2 + y^2 = (\sqrt{10})^2[/tex]
[tex]x^2 + y^2 =10[/tex]
Substitute for y
[tex]x^2 + (\sqrt 5)^2 =10[/tex]
[tex]x^2 + 5 =10[/tex]
Collect like terms
[tex]x^2 =10-5[/tex]
[tex]x^2= 5[/tex]
Solve for x
[tex]x =\sqrt 5[/tex]
A solid has 20 faces and 12
vertices. How many edges
does it have?
Euler's Formula: F + V - E = 2
Enter
Answer:
30
Step-by-step explanation:
20+12-E=2
32-E=2
-E=-30
E=30
HELP PLS’ Suppose you roll a die. Find the probability of the given event. Simplify your answer.
P(an even number less than 4)
1) 1/6
2) 2/3
3) 1/2
4) none of the above
The answer is 2) 2/3
simplify 4cd + 6d + 9c - 4cd
Answer:
6d+9c
Step-by-step explanation:
Answer:
6d+9c
Step-by-step explanation:
Predict the number of deer in a 25 square mile section of the mountains based on the sampling from the figure
Help please it’s a test!
Answer:
E. 425
Step-by-step explanation:
Assuming that since there are 17 deer in one square, there must be 17 in each square, and knowing there are 25 squares, the answer is equal to 17*25 = 425
find p(4) when p=.80
Answer:
3.2
Step-by-step explanation:
0.8(4) = 3.2
Which of the following are solutions to -2.7 + x = -3.5?
You can have more than one answer!!!
Group of answer choices
-3.5 + 2.7
3.5 - 2.7
-3.5 -(-2.7)
-3.5 - 2.7
Answer:
-3.5+27
Step-by-step explanation:
-2.7+x=-3.5
x=-3.5-(-2.5)
x=-3.5+2.5
x=2.0