2. Simplify each expression.
6n + 3 + 2n
99-9-9
2p + 3p+ 6-p-3
2.25(14.3m + 6 + 2.7m)
Answer:
[tex]6n + 3 + 2n = 8n + 3[/tex]
[tex]99-9-9 = 81[/tex]
[tex]2p + 3p+ 6-p-3 = 4p + 3[/tex]
[tex]2.25(14.3m + 6 + 2.7m) = 38.25m + 15.5[/tex]
The Foley Products Company has designed a new blend of concrete they believe will be twice as strong as their current high quality concrete. This new blend of concrete is believed to produce batches with a population mean strength of 15,000 psi and a population standard deviation of 2,000 psi. To validate this belief, they collect a random sample of 49 concrete batches out of all the batches produced at their plant in a particular week. The mean strength of the random sample of 49 concrete batches is measured to be 14,731 psi. Select the correct description of the population in this study.
Answer:
All of the batches of the new blend of concrete made at their plant in a particular week.
Step-by-step explanation:
The population refers to all the subjects or data which which meets the condition or requirement of a certain experiment or research. This means that all the set of similar items or subjects which is of interest in a certain study is the population. In the scenario above, the population will be the set of all the new blend concrete which are made in the plant within a certain week. Thereafter, if a sample is required it will be drawn from these set of data or observation.
Through any two points there is exactly one______
Tickets numbered 1 to 20 are mixed up and then a ticket is drawn at random. What
is the probability that the ticket drawn has a number which is a multiple of 3?
i keep getting 10.0 but its incorrect.. can someone help?
Answer:
C) 2.0 cm
Step-by-step explanation:
Area of a circle is [tex]\pi[/tex] x r²
[tex]\pi[/tex] x r² = 3.14 ----> r² = 1 ----> r = 1
1 + 1 = 2
What are the steps to solving this?
Answer:
m = 6[tex]\sqrt{3}[/tex] , n = 6
Step-by-step explanation:
Using the sine and cosine ratios in the right triangle and exact values
cos30° = [tex]\frac{\sqrt{3} }{2}[/tex] , sin30° = [tex]\frac{1}{2}[/tex] , then
cos30° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{m}{12}[/tex] = [tex]\frac{\sqrt{3} }{2}[/tex] ( cross- multiply )
2m = 12[tex]\sqrt{3}[/tex] ( divide both sides by 2 )
m = 6[tex]\sqrt{3}[/tex]
and
sin30° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{n}{12}[/tex] = [tex]\frac{1}{2}[/tex] ( cross- multiply )
2n = 12 ( divide both sides by 2 )
n = 6
There are five loaves of bread shared among a group of teachers each teacher has 1/5 of his or her share how many teachers had an equal amount of share
Answer:
25
Step-by-step explanation:
number of teachers that got an equal amount = total loves of bread ÷ fraction the bread is shared
5 ÷ 1/5
5 x 5 = 25
Express the height of the tower in terms of trigonometric ratios. A) 35(cos95°) B) 95(tan35°) C) 95(cot35°) D) 95(sin35°)
Answer:
95tan35°
Step-by-step explanation:
Find the diagram attached
Given the following
Adjacent = 95m
Opposite = height of the tower
Angle of elevation = 35degrees
Using SOH CAH TOA
tan theta = opp/adj
Tan 35 = h/95
Cross multiply
95 * tan 35 = h
95tan35 = h
Swap
h = 95tan35
Hence then the height of the tower in terms of trigonometric ratios is 95tan35°
15 points shawtyssss
Answer:
Step-by-step explanation:
Find the worth of B and E and add them
1/2n+3=6
what does n equal?
Answer:
[tex]n = \frac{1}{6} [/tex]
Step-by-step explanation:
[tex] \frac{1}{2n} + 3 = 6[/tex]
[tex] \frac{1}{2n} = 6 - 3[/tex]
[tex] \frac{1}{2n} = 3[/tex]
[tex]1 = 6n[/tex]
[tex]n = \frac{1}{6} [/tex]
Mathmerica Bank offers 2.1% interest compounded yearly
if you open a savings account with them and invest a
minimum of $2,500 dollars.
Answer:
Total = 2,500 (1.021)^t
Step-by-step explanation:
There is no question but the formula for compound interest is
Total = amount (1 + rate)^time
Total = 2,500 (1.021)^t
pleaseee what is ittt
Answer:
positive slope is shown by the graph
PLEASE HELP! WILL GIVE BRAINEST!! FOR MY MATH EXAM. please answer the whole question. only a few sentences are needed thanks.
Jordan asked some of his classmates their favorite numbers from 1-20. The numbers he found are below.
6, 10, 4, 12, 20, 5, 3, 12, 10, 2, 18, 15
Find the:
a. Minimum
b. Q1
c. Median
d. Q3
e. Maximum
Answer:
a. Minimum: 2
b. Q1: 9/2 = 2 1/2
c. Median: 10
d. Q3: 27/2 = 13 1/2
e. Maximum: 20
Find the volume of the rectangular pyramid please help me guys
Answer:
160 ft^3
Step-by-step explanation:
The volume formula is the same as a rectangular prism, lwh
So if we plug in the numbers, it'd be 12*4*10
Which equals 160 :))
Answer:
160
Step-by-step explanation:
v = L * W * H / 3
2. Three states of matter exist - solid, liquid, and gas. Which of the following are the common properties of liquid?
А It has no definite shape or volume
В. It has definite shape and no definite volume,
С. It has a definite shape and has definite volume
D It has a definite volume but take the shape of the container
Answer:
I am gonna say D for this one
Answer:
A
Step-by-step explanation:
water has yet to be formed. its molecules move around like crazy so it stays a liquid.
The length of the diagonal of a television screen is 20 inches and the height of the screen is 12
inches.
Which of the following is the width of the television screen?
Answer:
16
Step-by-step explanation:
b2=a2-c2 (squared)
20 2 - 12 2= 16
Answer:
16
Step-by-step explanation:
Given a special license plate tag consists of 5 characters for a small country. The first
characters is a digit between 1-6. The second and third characters are letters that
can not repeat. The last two characters can be any digits. How many unique tags
are possible?
351,000 tags
405,600 tags
325,000 tags
390,000 tags
Answer:
D
Step-by-step explanation:
Remark
First characters: 6 choices
Second two characters: 25 * 26
Third set of 2: 10 * 10 = 100
6 * 25 * 26 * 100 = 390000
Find the surface area. Show ALL your work!
calculate the mean deviation for the number 75 85 96 100 121 125
Answer:
i got 15.1
Step-by-step explanation:
Find the perimeter of the squash
Answer:
5x^2-18x -8
Step-by-step explanation:
Two of the angles in a triangle measure 57° and 73°. What is the measure of the third angle?
Answer:
The third angle is 50°
Step-by-step explanation:
In a triangle, all the angles must add up to 180° such that:
[tex]180= a+b+c[/tex] where a , b, and c are all angles
Since we know that two of the angles are 57° and 73°, we can subtract them from 180° to find the third angle.
Using the above equation, we can rearrange it to solve for the missing value:
180°= a + b + c
180°=57°+ 73° +c Substitute the angles in for any 2 variables
180°- 57°-73°= c Rearrange the equation to solve for last variable
50°= c
The third angle is 50°
if the mean of 12,16,22,X 28 is 19.6 find X
Answer:
20
Step-by-step explanation:
A data is given and the mean of data is 19.6 .The data is ,
12 , 16 , 22 , x , 28 .
We know that the mean is sum of observations divided by Total number of observations . So that ,
⇒ 12 + 16 + 22 + x + 28/ 5 = 19.6
⇒ 78+x/5 = 19.6
⇒ 19.6 × 5 = 78 + x
⇒ 78 + x = 98
⇒ x = 98 - 78
⇒ x = 20
Hence the value of x is 20 .complete the equation of this circle
Answer:
(x - 3)² + (y - 2)² = 16
Step-by-step explanation:
The center of the circle is (3, 2).
The radius of the circle is 4.
(x - 3)² + (y - 2)² = 4²
Answer: (x - 3)² + (y - 2)² = 16
The complete equation of this circle with center (3, 2) and radius 4 units is
(x - 3)² + (y - 2)² = 4²
Used the concept of the equation of the circle which stated that,
The standard form of the equation of a circle is,
(x - h)² + (y - k)² = r²
Where, (h, k) is the center of the circle and 'r' is the radius of the circle.
Given that,
The center of the circle is (3, 2).
And, The radius of the circle is 4.
Here, (h, k) = (3, 2)
And, r = 4
Substitute all the values in the standard form of the equation of a circle,
(x - 3)² + (y - 2)² = 4²
Therefore, the equation of a circle,
(x - 3)² + (y - 2)² = 16
To learn more about the circle visit:
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us
Find the point-slope equation for
the line that passes through the
points (-6, 24) and (5, -31). Use
the first point in your equation.
Answer:
first box is 24
second is -5
third is -6
Step-by-step explanation:
In this diagram, ABAC – AEDF. If the area of ABAC = 24 in2, what is the area of AEDF? D À E 2 in F В 4 in С Area AEDF = [?] in2 please I need help
Answer: 6
Step-by-step explanation:
The area of the triangle EDF is 6 in².
What are similar triangles?Two triangles are said to be similar if their corresponding angles are congruent, and their corresponding sides are in equal ratios.
Given that, two triangles are similar, ABC and EDF,
We know that, the area of two similar triangles implies that if two triangles are similar to each other, the ratio of their areas will be proportional to the square of their corresponding side ratios.
Therefore,
ar(ΔABC)/ar(ΔEDF) = (2/4)²
24/ar(ΔEDF) = 1/4
ar(ΔEDF) = 6
Hence, the area of the triangle EDF is 6 in².
Learn more about similar triangles, click;
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Please help- will give brainlist. If possible please tell me how you got the answer.
Answer:
Area is 124.8999
what's -8x is less than or equal to 56
Answer:
x ≥ - 7
Step-by-step explanation:
Given
- 8x ≤ 56
Divide both sides by - 8, reversing the symbol as a result of dividing by a negative quantity.
x ≥ - 7
Which of the following identifying information is contained in a credit report?
A. Height and weight
B. Driver’s license number
C. Employment history
D. All of the above
If fx) and f^-1(x) and inverse functions of each other and f(x) =2x+5, what is f^-1(8)?
PLZ HELP
Answer:
b. 3/2
Step-by-step explanation:
Trevor is considering two loan options for
buying a home in Haslet.
Thrifty Hometown
Bank Bank
Loan
$124,000 $124,000
Amount
Interest Rate 3%
4%
Time
Monthly
$856.32 $591.99
Payment
15 years
30 years
Which describes the relationship between the
total amounts that Trevor would pay over the
course of the two loans?
a. He would pay $47,638.80 more with
the Hometown Bank loan.
b. He would pay $47,638.80 more with
the Thrifty Bank loan.
c. He would pay $58,978.80 more with
the Hometown Bank loan.
d. He would pay $58,978.80 more with
the Thrifty Bank loan.