Answer:
k = 10
Step-by-step explanation:
X progresses by 25, while y progresses by 250.
So divide 250 ÷ 15 and your answer is 10.
8x-6y=36
solve the linear equation
Answer:
The below is the answer to the equation. 4.5, 0
Step-by-step explanation:
Which expression is equivalent to w4−25w2+144
?
(w2+9)(w2−16)
(w−3)(w+4)(w−3)(w−4)
(w−3)(w+3)(w2−16)
(w2−9)(w2+16)
The Census Bureau says that the 10 most common surnames in the United States are, in order, Smith, Johnson, Williams, Brown, Jones, Miller, Davis, Garcia, Rodriguez, and Wilson. These names account for 9.6% of all U.S. residents. Suppose you look at the authors of the textbooks for your current courses and find that there are 8 authors in total. What is the probability that none of the 8 surnames of these authors were among the 10 most common
Answer:
0.4460 = 44.60% probability that none of the 8 surnames of these authors were among the 10 most common
Step-by-step explanation:
For each surname, there are only two possible outcomes. Either they are among the 10 most common, or they are not. Each author is independent of each other. So we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
These names account for 9.6% of all U.S. residents.
This means that [tex]p = 0.096[/tex]
8 authors in total.
This means that [tex]n = 8[/tex]
What is the probability that none of the 8 surnames of these authors were among the 10 most common
This is [tex]P(X = 0)[/tex]. So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{8,0}.(0.096)^{0}.(0.904)^{8} = 0.4460[/tex]
0.4460 = 44.60% probability that none of the 8 surnames of these authors were among the 10 most common
What is the equation in point-slope form of a line that passes through the points (3, −5) and (−8, 4) ?
y+4=−911(x−8)
y+4=−15(x−8)
y−4=−15(x+8)
y−4=−911(x+8)
Answer:
y-4=–911(x+8)
please mark as brainliest
Answer:y-4=–911(x+8)
Step-by-step explanation:
This is the correct answer i do k12
At a birthday party, 8
pizzas are ordered. If 12
people share the pizzas,
how much of a pizza will
each person receive?
0.75 pizza
Step-by-step explanation: 0.75 x 12 equals 8, that's basically it.
Answer:
0.666667
Step-by-step explanation:
8 pizzas ÷ 12 people = 0.66667 pizzas for each.
Will mark brainliest!! Please do the two in green using cos!!
Answer: 23.36 and 46.67
Step-by-step explanation:
Number 1:
[tex]cos(32) = \frac{x}{28}[/tex][tex]cos(32)(28) = x[/tex][tex]23.36 = x[/tex]Number 2:
[tex]cos(57) = \frac{42}{x}[/tex][tex]cos(57)(x) = 42[/tex][tex]x= \frac{42}{cos(57)}[/tex][tex]x = 46.67[/tex]Dan invests £1600 into his bank account. He receives 3.5% per year simple
interest. How much will Dan have after 2 years? Give your answer to the
nearest penny where appropriate.
Answer:
171200 pennies
Step-by-step explanation:
Amount after 2 years = Principal + Interest
Given
Principal = £1600
Rate = 3.5%
Time = 2years
Get the interest
Interest = PRT/100
Interest = 1600*3.5*2/100
Interest = 32 * 3.5
Interest = £112
Get the amount after 2 years;
Recall that:
Amount after 2 years = Principal + Interest
Amount after 2 years = 1600 + 112
Amount after 2 years = £1712
Hence the amount Dan will have after 2 years is £1712
1712 pounds = (1712 * 100)penny
1712 pounds = 171200 pennies
QUICK WILL GIVE BRAINLIEST.
Answer:
-5
Step-by-step explanation:
here u go! hope i got it fast enough!
Answer:-5
Step-by-step explanation:
When there are two minuses It becomes plus
The owner of an automotive shop devotes 90% of his workweek to supervising, sales and accounting tasks. In one week, the owner spent 36 hours of his workweek on supervising, sales and accounting tasks. How many hours did he work that week? Group of answer choices
Answer: He worked 40 hours that week.
Step-by-step explanation:
Given : The owner of an automotive shop devotes 90% of his workweek to supervising, sales and accounting tasks. In one week.
Let x = Number of hours he work in a week.
then, Hours for supervising, sales and accounting tasks = 90% of x
As per given ,
[tex]90\%\ of \ x= 36\\\\\Rightarrow\ 0.90x=36\\\\\Rightarrow\ x=\dfrac{36}{0.9}=\dfrac{360}{9}\\\\\Rightarrow\ x=40[/tex]
Hence, he worked 40 hours that week.
Which equation could have been used to create this graph?
O y = 2x
O y = 4x
O y=x+4
O y = x + 2
Answer:
y =2x
Step-by-step explanation:
f(x) is a function.
0
3
с а м а
7
12
f(x)Help
Answer:
It's a function
Step-by-step explanation:
Because non of the inputs have the same output
If an airplane in a 1 in. : 4 ft. scale drawing is 5 in. long, how long is the actual airplane? Use proportions to solve the problem and show all work. Provide a proper label with your answer.
Answer:
20ft
Step-by-step explanation:
20ft is the answer because you would do 4 x 5 = 20, since the scale factor is 1in : 4ft
Hope this helped :)
Point D (-5, 3) and point E (6, -2) are located on a coordinate grid.
Which measurement is the best representation of the distance between point D and point E in units?
Answer:
Rounding to the nearest number, the answer would be 12 units
Step-by-step explanation:
I hope this helped! Please mark me as brainliest if you can!
8th Grade
please answer, its due today and show the work please :)
1.6(1 + 0.5n) - 3, 2 = 1.1(n - 6.8)
Answer:
n = 19.6
Step-by-step explanation:
Given the expression;
1.6(1 + 0.5n) - 3.2 = 1.1(n - 6.8)
Open the bracket
1.6 + 0.8n - 3.2 = 1.1n - 7.48
Collect the like terms
0.8n - 1.1n = -7.48 + 3.2 - 1.6
-0.3n = -5.88
n = -5.88/-0.3
n = 19.6
Hence the value of n is 19.6
please help, thanks :)
Answer:
It's C :)
Step-by-step explanation:
Next time check the y-intercept
Green has a intercept of 1
and purple has -3
Please Help realy I need it
Assume that x has a normal distribution with the specified mean and standard deviation. Find the indicated probability. (Round your answer to four decimal places.)
μ = 40; σ = 16
P(50 ≤ x ≤ 70) =______.
Answer:
0.2356
Step-by-step explanation:
Given that:
μ = 40; σ = 16
P(50 ≤ x ≤ 70) :
Using the Zscore formula :
(x - μ) / σ
P((50 - 40) / 16 ≤ Z ≤ (70 - 40) / 16)
P(50 ≤ x ≤ 70) = P(0.625 ≤ Z ≤ 1.875)
Using the Z probability calculator :
P(Z ≤ 1.875) - P(Z ≤ 0.625) -
0.9696 - 0.73401
= 0.23559
= 0.2356
There is a $30 fee to rent a tool from Jeff’s Tool Rentals plus $6 per day. If Hector rents a jackhammer for 5 days, what is his total bill?
Answer: 60$
Step-by-step explanation:
because you have the initial 30$ One time fee then you times 6$ by 5 days and 6x5= 30 then you add 30+30= 60
In 2010, the population of Alabama was about 4.8 million. This is an increase of about 7.5% over the population of Alabama in 2000. If this trend continues, predict the population of Alabama in 2030 and 2040.
Answer:
alabama is 7.85 million
Step-by-step explanation:
I will give brainiest to whoever answers correctly !!
3 3/5 x (-8 1/3) =
Please help and quick
Answer:
3 3/5 x (-8 1/3) = -30/1
= -30
Step-by-step explanation:
Answer:
The chosen topic is not meant for use with this type of problem. Try the examples below.
(
x
−
1
)
(
x
+
2
)
(
2
x
+
3
)
(
x
2
−
x
−
1
)
(
0
)
(
x
+
3
)
Step-by-step explanation:
It's for middle SCHOOL PLZzzz HELPPP!!!
You have a coupon for an additional 25% off the price of any sale item at a store. The store has put a robotics kit on sale for 15% off the original price of $40. What is the price of the robotics kit after both discounts?
Answer:
$25.50
Step-by-step explanation:
Answer:
(40)(15/100)=6
(40)(25/100)=10
10+6=16
orginal price at 40
After discounts 16
40-16=24
so you can buy it in 24$
Hope it helped you
5/6 divided by 1/2 simplest from
Answer:
5/3
Step-by-step explanation:
(5/6)÷(1/2)
= (5/6) x 2
= 10/6 = 5/3
Hope this helps!
Answer:
the correct answer is 5/3
I'm 100000000000% sure
need help asap please
Answer:
[tex]\displaystyle no[/tex]
Step-by-step explanation:
The triangle on the right is bigger than the triangle on the left.
I am joyous to assist you at any time.
is 4 1/2 equivalent to 4.5/100
Answer:
Every number in decimal form, in which either decimals terminate or certain numbers after decimal point continue to repeat endlessly, can be written as a fraction. As the given number 4.5 terminates after first deciimal it can be written as fraction. Here we have 4.5=4510=92 a fraction.
Step-by-step explanation:
hope i could help
If our school store purchased 144 mittens last year, and this year we would like to purchase 30% more than last year. How many mittens do we need to order this year?
Answer: It would be 43 mittens
Step-by-step explanation:
And this one please
An expression is evaluated as shown below.
8 + 3 × (4 ÷ 2) − 7
Step 1: 8 + 3 × 2 − 7
Step 2: 11 × 2 − 7
Step 3: 22 − 7
Step 4: 15
In which step does a mistake first appear?
Answer:
Step 2: 11 × 2 - 7
Step-by-step explanation:
unzsun sun dn I'd i
You depost $572.34 into an account that pays 4.5% interest. How much interest do you earn after 5 years? (Use the formula I=rpt)
A. $128.78
B. $25.76
C. $12,877.65
I really need help!
A phone company offers two monthly plans. Plan A costs $21 plus an additional $0.09 for each minute of calls. Plan B has no initial fee but costs $0.13 for each minute of calls.
For what amount of calling do the two plans cost the same?
minutes
What is the cost when the two plans cost the same?
$
Answer:
525; $68.25
Step-by-step explanation:
21+.09x=.13x
x=525
21+.09(525)=68.25
.13(525)=68.25
The answers are :
A) The amount of calling for which the two plans cost the same will be 525 minutes.
B) The cost when two plans cost the same amount is $68.25.
What do you mean by algebraic expressions ?
Algebraic expression is an equation which consists of variables and the arithmetic operations such as division , multiplication , etc.
A)
Let's assume the amount of calling is x for which the two plans cost the same.
So , the algebraic expression can be written as ;
Plan A = Plan B
or
21 + (0.09 × x) = 0 + (0.13 × x)
Solving this we will get amount of calling for which the two plans cost the same as :
21 = 0.13x - 0.09x
0.04x = 21
x = 525 minutes
B)
Now , the cost when two plans cost the same amount :
Plan A = 21 + (0.09 × 525) = 21 + 47.25 = $68.25
or
Plan A = Plan B = $68.25
Therefore , the answers are :
A) The amount of calling for which the two plans cost the same will be 525 minutes.
B) The cost when two plans cost the same amount is $68.25.
Learn more about algebraic expression here :
https://brainly.com/question/2164351
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