Answer:
Z=101
Step-by-step explanation:
A=2
B=3
C=5
D=7
E=11
F=13
From the above illustration, it can be deduced that A to Z represent prime numbers in ascending order.
Prime numbers are natural numbers that are greater than 1 and are only divisible by 1 and itself.
Therefore,
G=17
H=19
I=23
J=29
K=31
L=37
M=41
N=43
O=47
P=53
Q=59
R=61
S=67
T=71
U=73
V=79
W=83
X=89
Y=97
Z=101
At dinner, 100 students pass through the cafeteria line and were served meals. 40 fish entrees and 60 pasta entrees were served to the students. A total of 20 students chose neither entree. Assuming all students were served zero, one, or two entrees, how many students were served two entrees
Answer: 20
Step-by-step explanation:
Given: Total students at the dinner = 100
Number of fish entrees = 40
Number of pasta entrees = 60
Number of students chose neither entree = 20
Now , Number of students chose either fish or pasta = (Total students) - (Number of students chose neither entree)
= 100-20
= 80
Now , Number of students chose either fish or pasta = (Number of fish entrees) + (Number of pasta entrees)- (Number of students chose both)
⇒ Number of students chose both = (Number of fish entrees) +(Number of pasta entrees)-(Number of students chose either fish or pasta)
= 40+60-80
= 20
Hence, the number of students were served two entrees = 20
20 students were served two entrees.
Given,
total student pass through cafeteria line and were served meal is 100.
No. of students choose fish entries is 40.
No. of students choose pasta entrees is 60.
No. of student choose neither entree is 20.
We have to calculate the no. of students served two entrees.
Now Number of students chose either fish or pasta will be,
[tex]N=100-20[/tex]
[tex]N=80[/tex]
Now no. of students choose both will be,
[tex]N=(fish\ entree+\ pasta \ entree )-Entree\ either \ pasta \ or \ fish[/tex]
[tex]N=60+40-80[/tex]
[tex]N=20[/tex]
Hence 20 students were served two entrees.
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Answer:
C
Step-by-step explanation:
cot =cos/sin =a/b
cos=a/b*sin
(sin-cos)/(sin+cos) =(sin-sin*a/b)(sin+sin*a/b)
=(1-a/b)/(a+a/b)
=(b-a)/(a+b)
The sum of three prime numbers is 22. What is the largest possible product of these numbers?
Step-by-step explanation:
a+b+c=22
abc=?
2+3+17=22
2×3×17=102
Answer:
The numbers are 2, 7 and 13
Step-by-step explanation:
2+7+13 = 22
2X7X13 = 182
Part E how do I solve
Answer:
the triangles are congruent by SSS criterion
Step-by-step explanation:
(-9) - 9n= (-45) please helpppp!
Answer: n=4
Step-by-step explanation:
[tex]\left(-9\right)-9n=\left(-45\right)[/tex]
add 9 to both sides
[tex]-9-9n+9=-45+9[/tex]
[tex]-9n=-36[/tex]
divide both sides by -9
[tex]n=4[/tex]
Brainliest please
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▹ Answer
n = 4
▹ Step-by-Step Explanation
(-9) - 9n = (-45)
Simple terms are written last:
-9 - 9 = -45
Group all the variable terms on one side, and all the constant terms on the other side:
(-9n - 9) + 9 = -45 + 9
n = 4
Hope this helps!
CloutAnswers ❁
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The weight of a small starbucks coffee is a normally distributed random variable with a mean of 325 grams and a standard deviation of 10 grams. Find the weight that corresponds to each event (round your final answers to 2 decimal places)
The weight of a small starbucks coffee is a normally distributed random variable with a mean of 325 grams and a standard deviation of 10 grams. Find the weight that corresponds to each event (round your final answers to 2 decimal places)
a. Highest 10 percent
b. Middle 50 percent
Answer:
the weight that corresponds to Highest 10% = 337.8
the weight that corresponds to Middle 50 % lies between 318.26 and 331.74
Step-by-step explanation:
From the information provided for us:
we have the mean = 325
the standard deviation = 10
The objective is to find the weight that corresponds to each event i.e for event (a) , highest 10%
So;
The probability of P (Z > z) = 10%
Same as:
0.1 = 1 - P( Z < z)
P( Z < z) = 1 - 0.1
P( Z < z) = 0.9
From the standard normal tables for z;
P( Z < 1.28) = 0.9
z = 1.28
Similarly. from the z formula; we have:
[tex]z = \dfrac{X - \mu}{\sigma}[/tex]
[tex]z \times \sigma = X - \mu[/tex]
[tex]z \times \sigma + \mu= X[/tex]
[tex]X= z \times \sigma + \mu[/tex]
X = (1.28 × 10) + 325
X = 12.8 + 325
X = 337.8
Therefore, the weight that corresponds to Highest 10% = 337.8
b. the weight that corresponds to Middle 50 % can be computed as follows:
the region of z values at 0.50 lies between -0.674 and +0.674
from the z formula; we have:
[tex]z = \dfrac{X - \mu}{\sigma}[/tex]
[tex]z \times \sigma = X - \mu[/tex]
[tex]z \times \sigma + \mu= X[/tex]
[tex]X= z \times \sigma + \mu[/tex]
X = -0.674 × 10 + 325 and X = 0.674 × 10 + 325
X = - 6.74 + 325 and X = 6.74 + 325
X = 318.26 and X = 331.74
the weight that corresponds to Middle 50 % lies between 318.26 and 331.74
(b) In a sale the original prices are reduced by 15%.
(i)
Calculate the sale price of a book that has an original price of $12
Answer: $10.20
Step-by-step explanation:
convert the percentage to a decimal: 0.15
multiply the decimal 0.15 by the original price, $12, to find the amount that it will be discounted by: $1.80
subtract the discount from the original price: $10.20
Answer:
$9
Step-by-step explanation:
reduced price=15%*$12
= 15/100*$12
= $3
Sale price=original price - reduced Price
=$12-$3
=$9
Plz help THank you Image is proved Below
Answer:
22 is the correct answer of your question hope it helps you
At 10:05 a.m., there are 2 microscopic bacteria cells in the bottle. How many cells will be in the bottle at 10:15 a.m.? A. 2 B. 4 C. 8 D. 16
Answer: C. 8
At 10:15 a.m., there are 8 cells in the bottle.
Step-by-step explanation:
Answer:
At 10.15 there will be 8 cells
Step-by-step explanation:
Rejoice bought 600 oranges at 5 for GH¢3.00 to be sold at the market. On her arrival 5% of the oranges got rotten and she sold the rest at one for GH¢1.00...
I) How any oranges did she finally sell?
ii) Find her loss or profit percent.
Answer:
She finally sold 570 oranges
Profit %= 58.33%
Step-by-step explanation:
Quantity bought=600
Price=5 for GH¢3.00
Total cost price=600/5 * GH¢3.00
=120*GH¢3.00
=GH¢360.00
5% of 600 oranges got rotten
=5/100*600
=30 Oranges were rotten
I) How any oranges did she finally sell?
She finally sold
Sold oranges= Total oranges - Rotten oranges
=600-30
=570 oranges
Selling price=GH¢1.00 * 570 oranges
=GH¢570.00
ii) Find her loss or profit percent
Profit or loss percent= Selling price - cost price / cost price * 100
% profit or loss=S.P - C.P / C.P * 100
=GH¢570.00 - GH¢360.00 / GH¢360.00 * 100
=GH¢210.00/GH¢360.00 *100
=0.5833 * 100
=58.33% profit
Tan x is ........ Cos x is ........ Sin x is ..........
Answer:
Tan x= 3/4 Cos x= 4/5 Sin x=3/5
Step-by-step explanation:
"soh-cah-toa"
Just an easy way to remember how Sine, Cosine and Tangent work:
Soh...
Sine = Opposite / Hypotenuse
...cah...
Cosine = Adjacent / Hypotenuse
...toa
Tangent = Opposite / Adjacent
Answer:
tan(x)=0.75 sin(x)=0.6 Cos(x)=0.8
Step-by-step explanation:
[tex]tan(x)=\frac{opposite}{adjacent}=\frac{3}{4}=0.75[/tex]
[tex]cos(x)=\frac{adjacent}{hypotenuse}= \frac{4}{5} =0.8[/tex]
[tex]sin(x)=\frac{opposite}{hypotenuse}=\frac{3}{5}=0.6[/tex]
opposite=3
adjacent=4
hypotenuse=5
try remembering it as SOH CAH TOA
How to solve this question pls help asap
Answer:
answered by g a u t h m a t h
Step-by-step explanation:
The volume of a rectangular prism is the product of its dimensions. If the dimensions of a rectangular prism are
approximately 1.08 feet, 5.25 feet, and 3.3 feet, what is the approximate volume of the cube? Express your answer
using an appropriate level of accuracy.
Answer:
Hey there!
Volume of a rectangular prism: length (width) (height).
Volume: 1.08 (5.25) (3.3), or 18.71100.
However, because 3.3 is only two significant figures, we round our answer to: 19.
Hope this helps :)
Answer:
18.7 ft^3
Step-by-step explanation:
The volume is the product of the dimensions of the cube:
V = L*W*H, where L and W represent the length and width respectively.
Here,
V = (1.08 ft)(5.25 ft)(3.3 ft) = 18.7 ft^3, which is to 1 decimal place, because the least accurate dimension is also to 1 decimal place.
3. If triangle ABC has the following measurements, find the measure of angle A.
a = 17
b = 21
C = 25
9514 1404 393
Answer:
(a) 42.3°
Step-by-step explanation:
Side 'a' is the shortest of three unequal sides, so angle A will be the smallest angle in the triangle. Its measure can be found from the Law of Cosines.
a² = b² +c² -2bc·cos(A)
cos(A) = (b² +c² -a²)/(2bc) = (21² +25² -17²)/(2·21·25) = 777/1050
A = arccos(777/1050) ≈ 42.3°
The measure of angle A is about 42.3°.
_____
Additional comment
The smallest angle in a triangle can never be greater than 60°. This lets you eliminate choices that exceed that value.
Answer:
(a) 42.3°
Step-by-step explanation:
11,9,7,5,3,1,
B) Common Difference:
Recursive Function:
D) Explicit
Function:
Answer:
The terms 11, 9, 7, 5, 3, 1 have a common difference of -2 therefore, the correct option defining the relationship between the terms is
B) Common difference
Step-by-step explanation:
The common difference between a series of numbers is found by subtracting a number from the next number following and a common difference exists when the difference between successive adjacent number pairs is the same
A sequence that has a common difference is an arithmetic sequence or arithmetic projection.
The given sequence, 11, 9, 7, 5, 3, 1, is an arithmetic sequence.
find a number which is when added to it's square the sum will be 72.
Answer 8
8+8²=72
8+64=72
72=72
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PLS HELP! Using the diagram shown below, which statement is true?
Helppp meeeew pleaseeeee
Answer:
Hey there!
1 1/10=1.1
2/25=0.08
Each serving requires 0.08 kg, and he has 1.1 kg.
Thus, he can make 1.1/0.08, or 13.75 servings.
Let me know if this helps :)
Answer:
13 servings of tofu dish.
Step-by-step explanation:
First, convert the fractions to decimal numbers:
1 1/10 kg = 0.1 kg
2/25 kg = 0.08 kg
Now find how many servings of tofu dish will cover 0.1 kg of tofu:
2/25 kg = 1 serving
1 1/10 kg = ?
= 1 1/10 ÷ 2/25 kg
= 11/10 × 25/2
= 55/4
= 13.75 servings
Approximate it to a whole number:
13 servings.
. Find two polynomial expressions whose quotient, when simplified, is 1/x . Use that division problem to determine whether polynomials are closed under division.
Answer:
The two polynomials are:
(x + 1) and (x² + x)
Step-by-step explanation:
A polynomial is simply an expression which consists of variables & coefficients involving only the operations of addition, subtraction, multiplication, and non - negative integer exponents of variables.
Now, 1 and x are both polynomials. Thus; 1/x is already a quotient of a polynomial.
Now, to get two polynomial expressions whose quotient, when simplified, is 1/x, we will just multiply the numerator and denominator by the same polynomial to get more quotients.
So,
Let's multiply both numerator and denominator by (x + 1) to get;
(x + 1)/(x(x + 1))
This gives; (x + 1)/(x² + x)
Now, 1 and x are both polynomials but the expression "1/x" is not a polynomial but a quotient and thus polynomials are not closed under division.
What is the solution set of { x | x <-5} n { x | x >5 }? Help needed!
Answer:
The Empty set............
Answer:
There is no solution for the intersection of these two sets, as they do not intersect! They don't have any numbers in common and thus form an empty set. The correct answer choice is option D. the empty set.
Step-by-step explanation:
The solution for { x | x <-5} is ---> x < -5
The solution for { x | x >5 } is ---> x > 5
If you placed the two sets on a number line close to each other, you would see that they do not intersect. Thus there is no solution for the intersection of set A and set B as defined in the given problem.
See the graph for better understanding. You see how there's an empty space or area between -5 and 5? Yeah, this is called the empty set which is option D from your answer choices.
Which graph represents a function?
Answer:
The first Answer:
Step-by-step explanation:
The x-values are not the same on one line:
Image
The line connecting isn't perfect but see what I mean?
what does this equal 2^3 + 6^5=
[tex]\\ \sf\longmapsto 2^3+6^5[/tex]
[tex]\\ \sf\longmapsto 2^3+(2\times 3)^5[/tex]
[tex]\\ \sf\longmapsto 8+2^5\times 3^5[/tex]
[tex]\\ \sf\longmapsto 8+32\times 243[/tex]
[tex]\\ \sf\longmapsto 40+7776[/tex]
[tex]\\ \sf\longmapsto 7784[/tex]
Answer:
2*2*2= 8
6*6*6*6*6= 7,776
7,776+8=
7,784
A man traveled to his country home, a distance of 150 miles and then back. His average rate of speed going was 50 miles an hour and his average return speed was 30 miles per hour. His average rate of speed for the entire trip was Need help will mark brainlist
Answer:
37.5 mi/h
Step-by-step explanation:
time = distance / speed
On the trip 'going', the time was (150 mi)/(50 mi/h) = 3 h.
On the return trip, the time was (150 mi)/(30 mi/h) = 5 h.
__
speed = distance / time
The average speed for the whole trip was ...
speed = (150 mi +150 mi)/(3 h +5 h) = (300 mi)/(8 h) = 37.5 mi/h
His average rate of speed was 37.5 miles per hour.
how many are 8 raised to 4 ???
Mr. Clifton was preparing for his upcoming birthday party. He ordered 51 white balloons and 47 red balloons. As he walked to his car 12 balloons flew away! With the remaining balloons, he mixed the colors to create bunches of 3 to decorate his party space. How many full bunches did Mr. Clifton have to decorate his party space?
Answer:
28 i think
Step-by-step explanation:
51+47=98
98-12 the ones that flew away that takes it to 86
86/3 the 3 balloons buntch than is 28
p.s. i mght of got some equations wrong but this is what i got
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I REALLY NEED HELP WITH THESE 5 QUESTIONS!!!!!!!!!
Answer:
is -5,-3
Step-by-step explanation:
set up the tablet and done
What effect will replacing x with (x – 7)have on the graph of the equation y = = (x + 4)??
A. slides the graph 3 units down
B. slides the graph 3 units up
C. slides the graph 7 units right
D. slides the graph 3 units right
Answer:
D
Step-by-step explanation:
When you graph the first equation y = (x + 4) it will have a x-intercept of -4 and a y-intercept of 4.
When you replace x with (x-7) the equation will be converted into
y = ((x-7)+4)
y = x-3
When you graph this you see it has a x-intercept of 3 and a y-intercept of -3
To find the distance add the 2 x values together:
-4 + (-3) = ?
-4 -3 = ?
-7 = ?
Therefore the graph will shift units right
VW = 40 in. The radius of the circle is 25 inches. Find
the length of SP.
С.
P
T
V
W
Answer:
I think The choose C. 15
Step-by-step explanation:
wv=40
vG=20 =ST
PT=25
ST²+SP²=PT² —> 20²+SP²=25 —> 400+SP²=625
PS²=225 —> SP=15 in
I hope I helped you^_^
The value of SP is 15 inch.
What is Pythagoras theorem?The well-known geometric theorem that the sum of the squares on the legs of a right triangle is equal to the square on the hypotenuse.
Given:
VW=40
VG=20 =ST
and, PT=25
Now, using pythagoras theorem
ST²+SP²=PT²
20²+SP²=25
400+SP²=625
PS²=225
SP=15 in
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A candy store sells only one type of candy, which comes in different colors. Each color is a different flavor, and some flavors cost more than others. Specifically, 1 red piece costs the same as 3 blue pieces, 2 orange pieces cost the same as 5 green pieces, and 2 blue pieces cost the same as 10 green pieces. If 1 orange piece costs 13 cents, how much will 8 red pieces cost?
Answer:
$6.24
Step-by-step explanation:
1 orange=%0.13
2 orange=5 green=$0.26
10 green=2 blue= $0.52
.52+.26=.78
1 red=3 blue=$0.78
0.78*8=6.24