Step-by-step explanation:
distributive property is a*(b+c) = a*b + a*c
20+16 = 4* (5+4)
Emma is 10 years younger than Joseph. Joseph's age 6 years from
now will exceed twice Emma's age 2 years ago by 3 years.
How old is Em ma and Joseph now?
Answer:
Step-by-step explanation:
let Emma age be x now
Let Joseph age be y now
If Emma is 10 years younger than Joseph, then x = y-10
six years from now:
Emma will be x+6 years
Joseph will be y+6 years
If Joseph's age 6 years from now will exceed twice Emma's age 2 years ago by 3 years, then:
y+6 = 2(x+6-2) + 3
y+6 = 2(x+4)+3
y + 6 = 2x+11
y + 6 = 2(y-10)+!1
y + 6 = 2y-20+11
y - 2y = -9-6
-y = -15
y = 15
Since x = y -10
x = 15-10
x = 5
Hence Emma is 5years old now and Joseph is 15years old now
According to a survey, 74% of households said that they have never purchased organic fruits or vegetables. Suppose that this result is true for the current population of households. a. Let x be a binomial random variable that denotes the number of households in a random sample of 10 who have never purchased organic fruits or vegetables. What are the possible values that x can assume
Complete Question
According to a survey, 74% of households said that they have never purchased organic fruits or vegetables. Suppose that this result is true for the current population of households. a. Let x be a binomial random variable that denotes the number of households in a random sample of 10 who have never purchased organic fruits or vegetables. What are the possible values that x can assume? Integers to . b. Find to 3 decimal places the probability that exactly 6 households in a random sample of 10 will say that they have never purchased organic fruits or vegetables. Use the binomial probability distribution formula. Probability
Answer:
a
The possible value of x is 0, 1 ,2,3,4,5,6,7,8,9,10
b
[tex]P(X = 6) = 0.158 [/tex]
Step-by-step explanation:
From the question we are told that
The proportion that stated that they have not purchased organic fruits or vegetables is [tex]p =0.74[/tex]
The sample size is n = 10
The possible value x can take is 0, 1 ,2,3,4,5,6,7,8,9,10
Generally the probability that exactly 6 households in a random sample of 10 will say that they have never purchased organic fruits or vegetables is mathematically represented as
[tex]P(X = 6) = ^nC_6 * p^{6}* (1-p)^{n-6}[/tex]
Here C denotes combination
So
[tex]P(X = 6) = ^{10}6 * (0.74)^{6}* (1-0.74)^{10-6}[/tex]
=> [tex]P(X = 6) = 0.158 [/tex]
In the diagram, bisects ABC. Find mABD and mDBC
Answer:
Angle ABD = 45 degrees
Angle DBC = 45 degrees
Step-by-step explanation:
If the ray BD bisects ABC, then it divides it in two angles of equal measure. The we can write the following equality:
angle ABD = Angle DBC
9 x + 9 = 12 x - 3
solve for x by subtracting 9x from both sides,
9 = 3 x - 3
and adding 3 to both sides:
9 + 3 = 3 x
12 = 3 x
divide both side by 3 to isolate "x":
12/3 = x
x = 4
And now we can find the value of each angle:
Angle ABD = 9 x + 9 = 9 (4) + 9 = 36 + 9 = 45 degrees
Angle DBC = 12 x - 3 = 12 (4) - 3 = 18 - 3 = 45 degrees
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Answer:
it is already an equation
Step-by-step explanation:
Answer:
Already and equation!
Step-by-step explanation:
Can someone plz explain to me how to do this !? Geometry
The scale factor is 3
if you look at the graph its y3 x3 the larger one is y9 x9 if you divide the two you get 3
can you please give brainliest
Top Brass Trophy Company, makes large championship trophies for youth athletic teams. At the moment they are planning production for fall sports: football and soccer. Each football trophy has a wood base, an engraved plaque, a large brass football on top, and returns $12 in profit. Soccer trophies are similar except that a brass soccer ball is on top, and the unit profit is only $9. Since the football has an asymmetric shape, its base requires 4 board feet of wood; the soccer base requires only 2 board feet. At the moment there are 1000 brass footballs in stock, 1500 soccer balls, 1750 plaques, and 4800 board feet of wood.
Required:
a. Define your decision variables and variable restrictions.
b. Build and present your linear programming model.
c. If you can, solve your linear programming model by graphical method. Otherwise, state your reason. Note that you can derive an optimal solution exactly by solving related equations.
d. If the number of available plaques is 200, modify your model and solve it again.
Answer:
a) maximize 12F + 9S
where:
F = football trophies
S = soccer trophies
b) constraints:
wood ⇒ 4F + 2S ≤ 4800
plaques ⇒ F + S ≤ 1750
brass footballs ⇒ F ≤ 1000
brass soccer balls ⇒ S ≤ 1500
c) using solver, the optimal solution is 650F + 1100S = $17,700
d) plaques ⇒ F + S ≤ 200, then
optimal solution is 200F = $2,400
7
Felicia is making trail mix. The recipe calls for 3 cups pretzels and 1.5 cups of m&m's.
She wants to make 27 cups of trail mix for a birthday party. How many cups of pretzels and m&m's does she need?
Answer:
81 Cups of Pretzels and 40.5 Cups of M&M's
Step-by-step explanation:
p= Pretzels
m= M&M;s
3p+1.5m= 1
3(27)+ 1.5(27)
81 + 40.5
Can someone please tell me answerrrrrrr
Answer: B
Steps: $208.08
PLz mark brainliest:)
6m + 4n + 3m - 6
What are the coefficient[s]? Separated them with a comma
Answer:
6,4,3
Step-by-step explanation:
A coefficient is a number multiplied by a variable in the a equation. 6 is not a coefficient because it is not being multiplied by anything
Answer:
6,4,3, and -6
Step-by-step explanation:
These are the coefficients because usually coefficients are accompanied with a variable with is meaning to multiply. In this case you would combine all of your like terms.
Find the coordinates of the midpoint of LB if L(8, 5) and B(-6, 2)
Answer:
The coordinates of the midpoint of LB are (1, 3.5)
Step-by-step explanation:
The rule of the midpoint of a segment its endpoints are (x1, y1) and (x2, y2) is [tex]M=(\frac{x1+x2}{2},\frac{y1+y2}{2})[/tex]
Let us use this rule to solve the question
∵ M is the midpoint of segment LB
∵ The coordinates of point L are (8, 5)
∴ x1 = 8 and y1 = 5
∵ The coordinates of point B are (-6, 2)
∴ x2 = -6 and y2 = 2
→ Substitute these values in the rule of the mid point above
∵ [tex]M=(\frac{8+-6}{2},\frac{5+2}{2})[/tex]
→ Remember (+)(-) = (-)
∴ [tex]M=(\frac{8-6}{2},\frac{7}{2})[/tex]
∴ [tex]M=(\frac{2}{2},\frac{7}{2})[/tex]
∴ M = (1, 3.5)
∴ The coordinates of the midpoint of LB are (1, 3.5)
Algebra Find the missing number.
12. 34 – 8 = 35 -
n 5
Topic 6 Lesson 5
A rectangle has side lengths 6 cm and 9 cm. What would the side lengths of the image be after a dilation of 2.25? Explain your reasoning.
Answer:
The side lengths of the image after the dilation = 13.5 cm and 20.25cm
Step-by-step explanation:
A rectangle has side lengths 6 cm and 9 cm. What would the side lengths of the image be after a dilation of 2.25? Explain your reasoning.
Dilation can also be referred to as scale factor
6cm × 2.25 = 13.5 cm
9 cm × 2.25 = 20.25 cm
The side lengths of the image after the dilation = 13.5 cm and 20.25cm
Find 8% of $40 answers with the nearest penny
Answer:
3.20
Step-by-step explanation:
Sorry i had the same question and i asked the teacher if he could help and he did but he sorta juts gave me the answer so cant really give an explanation so sorry.
a, = 8 + 2(n - 1).
Dose anyone know this.
I have no idea how to do this
Answer:
it's ok!! thats why you have us!! we're here to help!
13/z
have a nice day!! also hope this helps!
Step-by-step explanation:
Answer:
13 on top
Z on the bottom
Step-by-step explanation:
6 plus 7 is 13
PLEASE HELP ASAP
can you help me please
All the fudge machines at a chocolate factory work at the same rate. Six machines working simultaneously can complete a big order in 22 hours.
a
How many hours would it take to fill the order if the number of working machines decreased by factor of 2?
Answer:
44 hours
Step-by-step explanation:
just do 22 x 2
In a certain section of Southern California, the distribution of monthly rent for a one-bedroom apartment has a mean of $2,325 and a standard deviation of $270. The distribution of the monthly rent does not follow the normal distribution. In fact, it is positively skewed. What is the probability of selecting a sample of 50 one-bedroom apartments and finding the mean to be at least $2,245 per month
Answer:
0.982
Step-by-step explanation:
Given that:
Mean (μ) = 2325
Standard deviation (σ) = 270
From the central limit theorem ; the Distribution of 50 sample means will be normally distributed
Finding the mean to be at least $2245 per month;
x = 2245
Using the Z score relation :
Zscore = (x - μ) / (σ/√n)
Zscore = (2245 - 2325) / (270/√50)
Zscore = - 80 / 38.183766
ZSCORE = - 2.0951312
= - 2.1
P(Z > - 2.1) = 0.982 ( from the Z probability Calculator).
Which graph represents a function?
The second angle of a triangle is 3 times as large as the first. The third angle is 50º more than the first. Find the measure of the smallest angle.
Answer:
26°
Step-by-step explanation:
m∠A + m∠B + m∠C = 180°
x + 3x + (x+50) = 180
5x + 50 = 180
5x = 130
x = 26°
In 2012, there were approximately 275 students in the Delaware High School band. In 2018, that number increased to 305. Find the annual rate of change in the number of students in the band.
A rate of change tells us how one quantity changes in relation to another quantity.
The annual rate of change in the number of students in the band is 5.
What is rate of change?A rate of change is a rate that tells us how one quantity changes in relation to another quantity.
We have,
Number of students in the band in 2012 = 275
Number of students in the band in 2018 = 305
The rate of change in the number of students in the band:
= 305 - 275 / 2018 - 2012
= 30 / 6
= 5
Thus the annual rate of change in the number of students in the band is 5.
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where does 17 lies between
Answer:
it lies between 16 and 18
Step-by-step explanation:
Answer:
16 and 18
Step-by-step explanation:
find the quotient 5,9,374
Answer:
I don’t know exactly what ur asking but I hope this helps
Step-by-step explanation:
6.33
NOT Answer:
i would be glad to answer this but whats a quotient
sory
Scientists examined data on mean summer sea‑surface temperatures (in degrees Celsius) and mean coral growth (in millimeters per year) over a several‑year period at locations in the Red Sea.
Temperature (∘C) 29.55 29.96 30.04 30.28 30.34 30.47 30.81
Growth (mm/y) 2.64 2.37 2 .74 2.52 2.34 2.46 2.31
Required:
Use your calculator to find the mean and standard deviation of both sea surface temperature x and growth y and the correlation r between x and y . Then use these basic measures to find the slope and intercept of the least‑squares line for predicting y from x .
Answer:
Kindly check explanation
Step-by-step explanation:
Given the data:
Temperature (∘C) 29.55 29.96 30.04 30.28 30.34 30.47 30.81
Growth (mm/y) 2.64 2.37 2.74 2.52 2.34 2.46 2.31
Using calculator and treating temperature and growth data as samples :
Temperature :
Mean : ΣX/n
n = sample size
Mean temperature (m) = 211.45 / 7
Mean temperature = 30.21°C
Standard deviation (s) :
Sqrt(Σ(X - m)²/n - 1)
s = 0.403
Growth:
Mean : ΣX/n
n = sample size
Mean growth (m) = 17.38 / 7
Mean growth = 2.483 mm/yr
Standard deviation (s) :
Sqrt(Σ(X - m)²/n - 1)
s = 0.161
Using the correlation Coefficient a calculator : the correlation Coefficient is - 0.6278, This shows that a negative relationship exists between both variables.
The intercept of the graph = 17.812
The slope of the relationship : -0.504
Alice was rock climbing. She climbed to a height of 22 feet. Next, she descended 8 feet. Then, she ascended another 34 feet. What was
Alice's elevation?
Answer:
48 brainlest plz
Step-by-step explanation:
22-8=14
14+34=48
Does anyone know the answer?
Answer:
20 i think
Step-by-step explanation:
Write a positive or negative number for each situation.
a. you win $150 in a contest
b. a loss of 15 yards in a football game
c. 75 feet below sea level
d. 35 degrees above 0 degrees F
e, a debt of $24.75
What are the angles x?
Answer:
TOP LEFT TRIANGLE: x=28°
BOTTOM LEFT TRIANGLE: x=90°
TRIANGLE ON THE RIGHT: x=34°
Step-by-step explanation:
TOP: the triangle on the right has 90 and 39. That makes the third one 51. It’s supplement is 129. 129+23=152. 180-152=28. X=28°
BOTTOM: 180-119=61. 61+29=90. 180-90=90. X=90°
RIGHT: right triangle has 90 and 70. 90+70=160. 180-160=20
180-70-41-15-20=34°
What is the value of f(0) on the following graph?
y = f(x)
Answer:
f(0)=2
Step-by-step explanation:
As the graph states y=f(x), so to solve you must find the value of y when x=0 (because that is what is in the paratheses). So go to the place on the graph where x equals 0 then follow up until you intersect with the function. If x=0 then y=2.
What is the measure of ZRIA?
R
PA
N
999
.
A. 55
B. 30°
O C. 95°
D. 60°
The measure of angle RIA is 55 degrees, option A is correct.
What is Coordinate Geometry?A coordinate geometry is a branch of geometry where the position of the points on the plane is defined with the help of an ordered pair of numbers also known as coordinates.
We have to find the measure of angle RIA
The opposite angle of RIA is LIK
Let us find the measure of LIK
∠FIL+∠LIK+∠KIN=180
30+∠LIK+95=180
∠LIK + 125 =180
Subtract 125 from both sides
∠LIK = 180 - 125
=55 degrees
∠LIK is equal to ∠RIA
∠RIA = 55 degrees
Hence, the measure of angle RIA is 55 degrees, option A is correct.
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