Answer:
(x-6)(x-8)=0
Step-by-step explanation:
x^2-14x+48=0
Factorizing
x^2-8x-6x+48=0
(x^2-8x)+(-6x+48)=0
x(x-8)-6(x-8)=0
(x-6)(x-8)=0
Tonya has a 2-page story she wants to expand. She plans to write 3 pages per day until it is done. Which equation best represents the relationship?
Answer:
D. 60h = m
Step-by-step explanation:
A proportional equation that represents the relationship will be in the form of m = kh
Where,
Constant of proportionality = k = m/h
Using (2, 120),
k = 120/2
k = 60
Substitute k = 60 into m = kh
Thus:
m = 60h
This can also be written as 60h = m
PLEASE ANSWER ASAP !!!!!!!!!!!!!!!!!!! WILL GET BRAINLEST IF CORRECT!!!!!!!!!!!!!!!!!!!!!!
Answer:
x =34
Step-by-step explanation:
180 - 100 = 80
80 = ( x + 12 ) + x
80 = 2x + 12
68 = 2x
x = 34
If the nth term of a number sequence is n^2+4
find the first 3 terms and the 10th term.
Answer:
a) The sequence of first three terms
5 , 8 , 13 ..
b) The [tex]10^{th}[/tex] of the sequence
a₁₀ = 104
Step-by-step explanation:
Step(i):-
Given [tex]n^{th}[/tex] term of the sequence
aₙ = n² + 4
put n=1
First term a₁ = 1² +4 = 1+5
put n =2
Second term a₂ = 2²+4 = 4+4 =8
Put n=3
Third term a₃ = 3² +4 = 9+4 =13
The sequence of first terms
5 , 8 , 13 ..
Step(ii):-
Given [tex]n^{th}[/tex] term of the sequence
aₙ = n² + 4
put n =10
a₁₀ = 10²+4 = 100+4 = 104
a₁₀ = 104
The [tex]10^{th}[/tex] of the sequence
a₁₀ = 104
Question regarding a Normal Distribution chart: Ten thousand adults were given a literacy test. The results were nearly normally distributed (μ = 75, σ = 15).
A. About how many scored between 60 and 80?
B. Approximately what score did only the top 15% exceed?
C. Find the percentile rank of the person who scored 88.
Answer:
a) 4,706 scored between 60 and 80
b) A score of 90.6.
c) 81th percentile.
Step-by-step explanation:
When the distribution is normal, we use the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this question, we have that:
[tex]\mu = 75, \sigma = 15[/tex]
A. About how many scored between 60 and 80?
Proportion:
This is the pvalue of Z when X = 80 subtracted by the pvalue of Z when X = 60. So
X = 80
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{80 - 75}{15}[/tex]
[tex]Z = 0.33[/tex]
[tex]Z = 0.33[/tex] has a pvalue of 0.6293
X = 60
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{60 - 75}{15}[/tex]
[tex]Z = -1[/tex]
[tex]Z = -1[/tex] has a pvalue of 0.1587
0.6293 - 0.1587 = 0.4706
How many?
0.4706 out of 10,000, so
0.4706*10000 = 4706
4,706 scored between 60 and 80.
B. Approximately what score did only the top 15% exceed?
The 85th percentile, which is X when Z has a pvalue of 0.85. So X when Z = 1.037.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]1.037 = \frac{X - 75}{15}[/tex]
[tex]X - 75 = 1.037*15[/tex]
[tex]X = 90.6[/tex]
A score of 90.6.
C. Find the percentile rank of the person who scored 88.
This is the pvalue of Z when X = 88. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{88 - 75}{15}[/tex]
[tex]Z = 0.87[/tex]
[tex]Z = 0.87[/tex] has a pvalue of 0.8078
So, rounding up, the 81th percentile.
will give brainliest
Answer:
3ft
Step-by-step explanation:
it takes a while to explain and I dont have much time, but the answer is 3
g A water tank has a square base with each side of length 5 meters. Water enters through a hose at a constant rate of 20 liters per minute. At the same time a valve in the bottom is opening, so that after t minutes, water leaves at a rate of t liters per minute. If the tank starts out filled to a depth of 5 meters, after how many minutes will the tank be empty
Answer:
221 minutes
Step-by-step explanation:
It's a known fact that
1 m³ = 1000 L
W(t) = 2*2*5 m^3 + 20t - t²/2
W(t) = 20 + 20t - t²/2, on differentiating, we have
-0.5² + 20t + 20000 = 0, and
t = [40 +- √161600] / 2
= 20 + 20√101 for t > 0
so t = 221 minutes
Discussion Prompt: A fair coin is tossed twice and the number of heads is recorded. Jose says the P(1 head) = 1/2, while Jeff students says P(1 head) = 1/3. Explain in detail why Jose is correct.
Let H represent heads and T represent tails.
Writing HH means we get two heads and HT means we get heads first, then tails second, and so on.
We have these four possible outcomes when flipping two coins
HHHTTHTTOf those four outcomes, two of them have exactly one head show up (HT and TH). The probability of getting exactly one head is 2/4 = 1/2, so this is why Jose is correct.
A ball-and-stick model of a glucose molecule is shown here.
How many of each type of atom are needed to make one
glucose molecule?
PLEASE HELP ME
Answer:
picture?
Step-by-step explanation:
Answer:
A ball-and-stick model of a glucose molecule is shown here.
How many of each type of atom are needed to make one
glucose molecule?
PLEASE HELP ME
Step-by-step explanation:
1 molecule of glucose contains 6 atoms of C, 12 atoms of H, and 6 atoms of O • 1 mole of glucose contains 6 moles of C atoms, 12 moles of H atoms, and 6 moles of O atoms. 10 moles of glucose contains 60 moles of C, 120 moles of H, and 60
write three expressions for 7a+21
Write the equation of the line in fully simplified slope-intercept form.
y
12
11
10
9
8
7
6
5
4
3
2
1
-12-11-10-9-8-7-6 -5 -4 -3 -2 21
1 2 3 4 5 6 7 8 9 10 11 12
-3
-4
-5
-6
-7
-10
-11
Answer:
y = ⁴/3x - 7
Step-by-step explanation:
✔️First, find the slope (m):
Slope (m) = ∆y/∆x = 4/3
m = ⁴/3
✔️Determine the y-intercept (b):
The y-axis is intercepted by the line at y = -7, therefore the y-intercept (b) would be -7.
b = -7
✔️Write the equation:
Substitute the value of m = ⁴/3 and b = -7 into y = mx + b (slope-intercept form equation).
y = ⁴/3x + (-7)
y = ⁴/3x - 7
IM BEGGING U HELP Triangle ABC is similar to Triangle GHI. Find the measures of side length z and angle d. Write your answer below as follows:
Answer:
Side length z = 20 m
Angle d = 53°
Step-by-step explanation:
Since ∆ABC ~ GHI, therefore their corresponding side lengths would be proportional to each other. This implies that the ratio of their corresponding lengths are equal.
This also means that the same scale factor can be multiplied with any side length of ∆ABC to get the corresponding side length of ∆GHI.
The scale factor = HI/BC = 25/10 = 2.5
The side length that corresponds to z is AB which is 8 m long.
z = 8*2.5
✅Side length z = 20 m
Corresponding angles of similar triangles are congruent to each other.
Therefore,
✅Angle d = <I = 53°
Answer:
law of sines
law of cosines
Step-by-step explanation:
A statistician chooses 27 randomly selected dates, and when examining the occupancy records of a particular motel for those dates, finds a variance of 34.34 and a standard deviation of 5.86 rooms rented. If the number of rooms rented is normally distributed, find the 95% confidence interval for the population standard deviation of the number of rooms rented. Interpret your interval in context.
Answer:
Confidence interval variance [21.297 ; 64.493]
Confidence interval standard deviation;
4.615, 8.031
Step-by-step explanation:
Given :
Variance, s² = 34.34
Standard deviation, s = 5.86
Sample size, n = 27
Degree of freedom, df = 27 - 1 = 26
Using the relation for the confidence interval :
[s²(n - 1) / X²α/2, n-1] ; [s²(n - 1) / X²1-α/2, n-1]
From the chi distribition table :
X²α/2, n-1 = 41.923 ; X²1-α/2, n-1 = 13.844
Hence,
[34.34*26 / 41.923] ; [34.34*26 / 13.844]
[21.297 ; 64.493]
The 95% confidence interval for the population variance is :
21.297 < σ² < 64.493
Standard deviation is the square root of variance, hence,
The 95% confidence interval for the population standard deviation is :
4.615 < σ < 8.031
The population variance of 95% confidence interval is [tex]4.615<\sigma<8.031[/tex] and this can be determined by using the given data.
Given :
Variance = 34.34Standard Deviation = 5.86Sample Size = 2795% confidence intervalFirst, determine the degree of freedom.
[tex]df = 27-1=26[/tex]
The determine the confidence interval using the below formula:
[tex]\left(\dfrac{s^2(n-1)}{X^2_{\alpha/2,(n-1) }}\right);\left(\dfrac{s^2(n-1)}{X^2_{(1-\alpha)/2,(n-1) }}\right)[/tex]
Now, using the chi distribution the above expression becomes:
[tex]\left(\dfrac{34.34\times 26}{41.923 }}\right);\left(\dfrac{34.34\times 26}{13.844 }}\right)[/tex]
Simplify the above expression.
(21.297 ) ; (64.493)
So, the population variance of 95% confidence interval is:
[tex]\begin{aligned}\\21.297&<\sigma^2<64.493\\4.615&<\sigma<8.031\\\end{alingned}[/tex]
For more information, refer to the link given below:
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Evaluate the expression
3^3 x (12 - 2) ➗ 2
Answer:
135
Step-by-step explanation:
First 12-2=10
Then 3^3=27
After 27 times 10=270
Lastly 270 divided by 2=135
The simplified value of the expression 3³ × (12 - 2) ÷ 2 is 135.
What is PEMDAS rule?PEMDAS rule states the correct order of simplifying an expression is as follows -: Parenthesis, exponents, multiplications, divisions, additions, and, subtractions.
Given, an expression 3³ × (12 - 2) ÷ 2.
= 27 × (10)×1/2.
= 27 × 5.
= 135.
learn more about the PEMDAS rule here :
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i Write a linear function f with the values f(0) = 7 and f(2) = 12. A function is f(x)
Answer:
y=5/2x+7
Step-by-step explanation:
y=mx+b
12=m(2)+7
5=2m
m=5/2
Three friends went to the movies. Each movie ticket cost $8.50. Each person ordered a drink for $4.75. Two friends also bought popcorn. The group spent a total of $53.75. The friends used the equation 3(8.50+4.75)+2p=53.75 to find how much one order of popcorn, p, cost. Which is the cost for one order of popcorn?
$2.00
$7.00
$11.75
$14.00
Answer:
P = $7.00
Step-by-step explanation:
Movie tickets = $8.50
Drink = $4.75
Two friends also bought popcorn
Total spent by the group = $53.75
Given equation:
3(8.50 + 4.75) + 2p = 53.75
Where,
P = cost of one order of popcorn
3(8.50 + 4.75) + 2p = 53.75
25.50 + 14.25 + 2p = 53.75
39.75 + 2p = 53.75
2p = 53.75 - 39.75
2p = 14
p = 14 / 2
p = 7
p = $7.00
Which value for k makes the equation 42 ÷ k = 14 true? Select all that apply. A. 588 B. 62 C. 1452 D. 3 E. 23
3 is the value of k in the Linear equation .
What in mathematics is a linear equation?
An algebraic equation with simply a constant and a first-order (linear) component, such as y=mx+b, where m is the slope and b is the y-intercept, is known as a linear equation.
Sometimes, the aforementioned is referred to as a "linear equation of two variables," where x and y are the variables. Equations with variables of power 1 are referred to be linear equations. One example with only one variable is where ax+b = 0, where a and b are real values and x is the variable.
equation 42 ÷ k = 14
42/k = 14
42 = 14 * k
k = 42/14
k = 3
Learn more about Linear equation
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I need help please.
Answer:
5
Step-by-step explanation:
if you write a long list:111122333344555555566666677777888 you can see the number that occurs the most is 5.
PLZ HELP!! WILL AWARD BRAINLIEST!!
Graph the following equations.
y = 2x + 1
Answer:
The one is the y intercept so you would place it at (0,1) and then sense the slope is 2/1 you would either go back one and down two or go up two and over one
Step-by-step explanation:
What’s the answer pls
9514 1404 393
Answer:
(c) $497.90
Step-by-step explanation:
The 8.25% sales tax adds ...
0.0825 · $459.95 = $37.95
to the price, bringing the total to ...
$459.95 +37.95 = $497.90
five hotdogs cost $1.80.Each hotdog cost the same amount.What is the cost per hotdog in dollars and cents
Answer:
$0.36
Step-by-step explanation:
Answer:
$0.36
Step-by-step explanation:
You divide $1.80 by 5.
Select the correct answer.
Find the solution(s) for x in the equation below.
A. x = -5
B. no solutions
C. x = 5
D. x = 5; x = -5
Answer:
Step-by-step explanation:
X=5; X=-5 this is the answer i put and got off math:::way
You buy 10 vegetarian pizzas and pay with $100. How much change do you receive?
3 Vegetarian Pizzas for
$25.50
You receive $ in change.
Answer:
$15
Step-by-step explanation:
3÷25.50 to get $8.50 per pizza then you would time that by 10 to get $85 as the total cost
Use the graph off to find the value f(5).
Answer:
where is the graph
Step-by-step explanation:
it takes 20 minutes to drive from Micahs apartment to his school. Which unit is best for measuring how far Micah lives from school
Centimeters Millimeters Meters Kilometers
Answer:
The best unit for measuring how far Micah lives from school is kilometers.
Step-by-step explanation:
Kilometers is a widespread unit derived from SI (System International) unit for length (meter, 1 kilometer equals 1000 meters) used for distances in automotive applications, especially in cars, and among them the car described on statement.
Hence, the best unit for measuring how far Micah lives from school is kilometers.
The City Sights tour company had the same ratio of tourists to guides on both days this weekend. On Saturday, there were 120 tourists and 18 guides. On Sunday, there were 40 tourists.
How many guides were there on Sunday?
Answer:
There were 6 guides on Sunday.
Step-by-step explanation:
Same ratio
On Saturday, 120 tourists and 18 guides.
On Sunday, 40 tourists and x guides.
Due to the same ratio:
[tex]\frac{120}{40} = \frac{18}{x}[/tex]
[tex]3 = \frac{18}{x}[/tex]
[tex]3x = 18[/tex]
[tex]x = \frac{18}{3}[/tex]
[tex]x = 6[/tex]
There were 6 guides on Sunday.
ACTON
Find the Percentage, Rate Of Base
1. What is 25% of 1258
Answer:________
2. 50 is what percent of 4502
Answer:________
3. 75 is 30% of what number?
Answer:________
Answer:
314.5
2252.5
250
Step-by-step explanation:
X-4<5 I don’t get that
Answer:
x<9
Step-by-step explanation:
so first you add 4 to both sides,
then it is x<9 right?
WELL THAT'S THE ANSWER :)
pls give me brainliest
ˆ
THEY ARE CORRECT
GIVE THEM BRAINLIST BEFORE THIS GETS DELETED
HELP!!! NEED HELP! It is a very confusing lesson
3х + 8 = 32
Can someone help to solve for y
Answer:
[tex]3x + 8 = 32 \\ 3x = 32 - 8 \\ 3x = 24 \\ x = \frac{24}{3} \\ x = 8[/tex]
0.4(0.25)(0.01) is the problem