Step-by-step explanation:
the ratio of boys and girls is equal to 4:5
let the number of boys be x
and the number of girls be y
so form 1st statement
x:y=4:5
now 2nd statements
x:y-100=6:7
Therefore solving equations 1 and 2
x=1200
y=1500
Soda Tak claims that Diet Tak has 40mg of sodium per can. You work for a consumer organization that tests such claims. You take a random sample of 60 cans and find that the mean amount of sodium in the sample is 41.9mg. The population standard deviation in all cans is 5.2mg. You suspect that there is more than 40mg of sodium per can. Find the z-score.
Answer:
Z - score = 2.83
Step-by-step explanation:
Given the following :
Number of samples (N) = 60
Sample mean (x) = 41.9mg
Population mean (μ) = 40mg
Population standard deviation (sd) = 5.2
Using the relation :
Z = (x - μ) / (sd / √N)
Z = (41.9 - 40) / (5.2 / √60)
Z = 1.9 / (5.2 / 7.7459666)
Z = 1.9 / 0.6713171
Z = 2.8302570
Therefore, the z-score = 2.83
A train station is between the towns Antville and Bugville. The station is four times as far from Bugville as it is from Antville. If the distance from Antville to Bugville is 95 km, how far is it from Antville to the station?
Answer:
237.5 or 238
Step-by-step explanation:
95km=10
95km×10=950
950÷4= 237.5cm
approximately 238
11.49 for 3 packages
Answer:
Individual package would be 3.83
Hope this helps <3 Comment if you want more thanks and be sure to give brainliest (4 left) <3
HELPP PLEASE I’ll give a brainlist
prove that.....cos^2α(cosec^2α-cot^2α)=cos^2α
Step-by-step explanation:
We must prove that
cos²a(csc²a-cot²a) = cos²a
If we look at both sides, we can see that we have cos²a * something = cos²a. Therefore, if we can get that something to equal 1, we have our proof. In this case, that something is csc²a-cot²a. Using this information, we can work from within the parenthesis and go from there.
We can start by expanding the items in the parenthesis. Taking that csc(x) = 1/sin(x) and cot(a) = cos(x)/sin(x), we can say that
cos²a(csc²a-cot²a) = cos²a(1/sin²a - cos²a/sin²a). Because both items in the parenthesis have a denominator of sin²a, we can subtract cos²a from 1 to get
cos²a(1/sin²a - cos²a/sin²a)= cos²a((1-cos²a)/sin²a))
Next, we know that cos²a+sin²a=1, so 1-cos²a = sin²a. Plugging that in, we get
cos²a((1-cos²a)/sin²a)) = cos²a(sin²a/sin²a)
= cos²a(1)
= cos²a
3/8-(-51/4) simplest form
Answer:
13 1/8
Step-by-step explanation:
3/8-(-51/4)
Subtracting a negative is like adding
3/8 + 51/4
get a common denominator
3/8+ 51/4 *2/2
3/8 + 102/8
105/8
8 goes into 105 13 times with 1 left over
13 1/8
20 points!!! Answer: what is the Product of -2x^3 + x – 5 and x^3 – 3 x -4 (a) Show your work (B) is the product of -2^3 + x -5 and x^3 -3 x - 4 equal to the product of x^3 – 3 – 4 and -2x^3 + x – 5 ? explain your answer
Answer:
-2x^6 + 7x^4 + 3x³ - 3x² + 11x + 20
Step-by-step explanation:
(-2x³ + x - 5)(x³ - 3x - 4) = -2x^6 + 6x^4 + 8x³ + x^4 - 3x² - 4x - 5x³ + 15x + 20
= -2x^6 + 7x^4 + 3x³ - 3x² + 11x + 20
B is the same thing but switching which trinomial is written first.
Sailor Sheftat
Angle Terminology with Equations
Aug 03, 8:01:46 AM
?
ZA and B are complementary angles. If mZA= (6x – 4)º and m
ZB = (x + 17), then find the measure of ZA.
BE
Answer:
Submit Answer
attempt 1 out of 2
Pls help
Answer:
Does the answer help you?
WILL GIVE BRAINLIEST!!!!!!!!!!!!!!!!!
In the following graph, ∆ABC is congruent to ∆A’B’C’. A teacher asks Janine to state the translation rule for this transformation. She focuses on point C’ and states that “the translation rule is
(x,y)→(x-2, y-6).
In other words, to shift from the blue to the red triangle, you must shift each point two units to the left and six units down. Janine made an error.
Explain how to correct her rule by either using transformation notation showing each step or explain using 2-3 sentences.
Answer:
She moved 3 to the left and 5 down.
She could have calculated each point seperately.
A(1,-1) then subtract 2 and subtract 6 from the x and then the y-coordanate, which gets you to A'(-1,-7). Then, do this with every other coordanate and you will get your answer. Hope this helped!
It took Amir 2 hours to hike 5 miles. On the first part of the hike, Amir averaged 3 miles per hour. For the second part of the hike, the terrain was more difficult so his average speed decreased to 1.5 mile per hour.
Answer:
Times
first part x = 1,33 h second part y = 0,66 h
distances d₁ (first part ) d₁ = 4 miles d₂ (second part ) d₂ = 0,999 miles
Step-by-step explanation: IMPORTANT NOTE: EVEN PROBLEM STATEMENT DID NOT ASK ANY QUESTION WE WILL ASSUME QUESTION ARE: LENGTH ( IN MILES ) AND SPENT TIME OF EACH PART OF THE HIKE
We formulate a two-equation system according to:
x = time for the first part
y = time for the second part
then x + y = 2 or y = 2 - x
And 3 m/h * x(h) + 1,5 m/h * y (h) = 5
3*x + 1,5*y = 5
3*x + 1,5 * ( 2 - x ) = 5
3*x + 3 - 1,5*x = 5
1,5*x = 2
x = 2/1,5 (h)
x = 1,33 (h)
And y = 2 - 1,33 y = 0,66 (h)
Distances are
first part d₁ = 3*1,33 d₁ = 4 miles
second part d₂ = 1,5*0,66 d₂ = 0,999 miles
Keisha has completed 72 math problems in her SHSAT practice workbook. This is 24% of the total number of math problems in the workbook. How many math problems are in the workbook?
Answer:
300
Step-by-step explanation:
Just because it makes sense.
Answer:
300
Step-by-step explanation:
Just because it makes sense. and you would get the answer that i did as well
evaluwate 5(14-2to the third power)+8/2
Answer:
216,004
Step-by-step explanation:
so 5(14-2)third power + 8/2,
that would be
5(12)third power + 8/2
(60) third power + 4
216,000 + 4
In an experiment you are to flip a two sided coin 100 times and record 55 heads up and 45 tails up. Determine the theoretical and experimental probability of getting a heads up in the experiment.
theorical = 11/20, experimental = 11/20
theorical = 1/2, experimental = 1/2
theorical = 1/2, experimental = 11/20
theorical = 11/20, experimental = 1/2
Answer: The answer is C.
Step-by-step explanation:
Because in the theory of the outcome is a 50/50 chance landing heads or tails. So, the theorectical probability is 1/2. Now the experimental must be 11/20.
Answer:
theory=1/2, experimental=11/20
Step-by-step explanation:
so when talking about theoretical probability you only consider the only possible outcomes which are either head or tail and since you haven't carried out any sort of experiment yet (many flips) you consider the number of outcomes of tossed once since it's theory which are two therefore the probability of each will be 1/2
but in experimental probability you now consider the number of times tossed and the outcomes of each side which is this case of heads will be 55/100 but in the answers they have simplified so it will be 11/20
Adam and his dad share the cost of a meal in the ratio of 2:3.
Adam's dad pays £52.20.
What is the total cost of the meal?
Answer:
£ 87.00
Step-by-step explanation:
52.20*2/3=52.20/3*2=17.4*2=34.8
52.20+34.80=87.00
(06.01)
Write the following expression in exponential form:
1.6 × 1.6 × 1.6 × 1.6
41.6
1.64
1.6 × 4
1.6 + 4
Answer:
[tex]1.6^{4}[/tex]
Step-by-step explanation:
1.6 is multiplied by itself 4 times. This is represented in exponential form as
[tex]1.6^{4}[/tex]
Apply
48. Think About a Plan A lumberjack cuts 7 pieces of equal length
from a log, as shown at the right. What is the change in the log's
length after 7 cuts?
• What operation can you use to find the answer?
• Will your answer be a positive value or a negative
value? How do you know?
49. Farmer's Market A farmer has 120 bushels of beans for sale at a farmer's market.
dau what is the change in the
Answer:
you can use a median method of counting and eliminating each side being each cut but the difference would it would be an equal number as the central off number cut divides one piece of wood into an even number.
Another operation is subtracting the cuts from the pieces you have 7 - 6 = 1 whole. Meaning the answer is correct if you are left with 1
If the cuts were even then you would have an a number of pieces that amount to an odd number.
So with 7 they are even and positive.
With counter checking they are positive as you always start with one piece of wood.
Ellie wants to double her savings
of $5000 by investing her money
for 20 years.
What interest rate does
she need to look for?
Give your answer to 1 d.p.
Answer:
She will get more money than what she will get in the question
Question
De acuerdo con la experiencia de una empresa dedicada al desarrollo de software, para realizar un proyecto mediano se requieren seis programadores para finalizarlo en 21 días. Teniendo en cuenta que la relación entre el número de programadores y el número de días necesarios para el desarrollo es inversa, la cantidad de programadores que se deben contratar para finalizar el proyecto en 14 días es nueve.
Answer:
u should put his is English and then translate it to read it
multiply this decimals 1.02 x 0.286
A farmer sells 8.6 kilograms of apples and pears at the farmer's market. 4/5 of this weight is pears, and the rest is apples. How many kilograms of apples did she sell at the farmer's market?
Answer:
Weight of apples = 1.72 kg
Step-by-step explanation:
Given:
Total mass of sale = 8.6 kg
Pears weight = 4/5 of total weight
Find:
Weight of apples
Computation:
Weight of apples = [1 - 4/5]Total mass of sale
Weight of apples = [1/5]8.6
Weight of apples = 1.72 kg
acute angle between the hours hand and the minute hand at 1pm
Answer: 30 degrees
Step-by-step explanation:
1 hour = 60 min = 360 degree
1 min = 360/60 degree
1 min = 6 degree
and the gap of hour hand and minute hand at 1pm, is of 5 min
therefore acute angle formed is 5 X 6 = 30 degrees.
:-)
Answer:
30 degrees
Step-by-step explanation:
1 hour = 60 min = 360 degree
1 min = 360/60 degree
1 min = 6 degree
and the gap of hour hand and minute hand at 1pm, is of 5 min
therefore acute angle formed is 5 X 6 = 30 degrees.
When three is added to four times a number, the result is 15
(a) Write an equation to represent the above information.
Answer
(b) Solve your equation in (a)
Answer:
A. 4y + 3 = 15
B. y = 3
Step-by-step explanation:
Three is added to four times a number, the result is 15
A. Equation to represent the above information:
Let the unknown number= y
4 * y + 3 = 15
4y + 3 = 15
B. Solve your equation in (a)
4y + 3 = 15
Collect like terms
4y = 15 - 3
4y = 12
Divide both sides by 4
4y / 4 = 12 /4
y = 3
Therefore, the unknown number is 3
Please help me solve this, urs really important for me. Thank you
Answer:
24 pieces
Step-by-step explanation:
Adam
1/2's means 2 pieces each so 8 *2 = 16 pieces
Briana
1/4 means 4 pieces each 8*4 = 32 pieces
Carlos
1/9 so 9 pieces each 8*9 = 72 pieces
Carlos - ( adam+ briana)
72 - ( 16+32)
72 -(48)24
I need help on this :(
Answer:
26⁹
Step-by-step explanation:
26 * 26⁸
= 26¹ * 26⁸
= 26¹⁺⁸
= 26⁹
10 less than k is 35 help please
Answer:
k = 45
Step-by-step explanation:
We can put this into an equation form:
k - 10 = 35
We can solve for k by adding 10 to both sides:
k = 45
Answer:
k-10=35
k=45
Step-by-step explanation:
Let's write this as an equation.
"10 less than k" means subtract 10 from k.
k-10
"is 35" means equals 35.
k-10=35
If we want to solve for k, we have to get k by itself on one side of the equation.
k-10=35
10 is being subtracted from k. The inverse of subtraction is addition. Add 10 to both sides of the equation.
k-10+10=35+10
k=35+10
k=45
PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER PLS GIVE ME A STEP BY STEP EXPLANATION!!
Answer:
D. The over 30s have a larger range and interquartile range than the under 30s
Step-by-step explanation:
In a data set, the range is the difference between the maximum and minimum. So, the range for under 30s is 20, while the range for over 30s is 24. Additionally, the interquartile range is the difference between Q3 and Q1. For a boxplot, Q3 is the line where the box ends and Q1 is the line where the box begins. Therefore, the IQR for the under 30s is 8, and the IQR for over 30s is 11. So, D must be correct.
kofi and kweku are two brothers. Kofi is older than kweku. Given that kofi's age is (5x-4) years and kweku's age is (2x+1) years.
a. write down an expression, interns of x,for how much old is Kofi than kweku.
b. if Kofi is tens years older than kweku, find the value of x and the ages of Kofi and kweku
Answer:
Kindly check explanation
Step-by-step explanation:
Given the details :
Kofi is older than kweku
kofi's age = (5x-4) years
kweku's age = (2x+1) years
a. write down an expression, interns of x,for how much old is Kofi than kweku
Equate the ages of Kofi and kweku
(5x - 4) = (2x + 1)
5x - 4 = 2x + 1
5x - 2x = 1 + 4
3x = 5
3x - 5
B.) if Kofi is tens years older than kweku, find the value of x and the ages of Kofi and kweku
Then,
(5x-4) = (2x + 1) + 10
5x - 4 = 2x + 1 + 10
5x - 2x = 1 + 10 + 4
3x = 15
x = 5
Kofi's age : 5x - 4
5(5) - 4 = 25 - 4 = 21 years
Kweku's age : (2x + 1)
2(5) + 1 = 10 + 1 = 11 years
Find the value of x.
Answer:
70°
Step-by-step explanation:
an inscribed angle is half of the intercepted arc
arc = 2(15) = 30
1/2(x - 30 ) = 20
x - 30 = 40
x = 70
Two interior angles of a convex pentagon are right angles and the other three interior angles are congruent. in degrees, what is the measure of one of the three congruent interior angles?
Answer:
[tex]120^{0}[/tex]
Step-by-step explanation:
Given: pentagon (5 sided polygon), two interior angles = [tex]90^{0}[/tex] each, other three interior angles are congruent.
Sum of angles in a polygon = (n - 2) × [tex]180^{0}[/tex]
where n is the number of sides of the polygon.
For a pentagon, n = 5, so that;
Sum of angles in a pentagon = (5 - 2) × [tex]180^{0}[/tex]
= 3 × [tex]180^{0}[/tex]
= [tex]540^{0}[/tex]
Sum of angles in a pentagon is [tex]540^{0}[/tex].
Since two interior angles are right angle, the measure of one of its three congruent interior angles can be determined by;
[tex]540^{0}[/tex] - (2 × [tex]90^{0}[/tex]) = [tex]540^{0}[/tex] - [tex]180^{0}[/tex]
= [tex]360^{0}[/tex]
So that;
the measure of the interior angle = [tex]\frac{360^{0} }{3}[/tex]
= [tex]120^{0}[/tex]
The measure of one of its three congruent interior angles is [tex]120^{0}[/tex].
Which operation involving complex numbers requires the use of a conjugate to be carried out?
Answer:
The correct answer will be "Division".
Step-by-step explanation:
The procedure represents numerous values requiring something like a conjugate to have been done becomes division, since the denominator conjugate multiplies the numeric values including its quotient to represent the quotient of several complex numbers throughout the standard language.It is indeed a method used to separate a set of items across equal proportions.