Answer:
Probability that X <32 degrees
[tex]=P(Z<\frac{32-22}{6}) =P(Z<1.67)\\ = 0.9522[/tex]
Convert this into percent by multiplying by 100
95.22% of days in February has minimum temperatures below freezing (32 degrees Upper F )
Step-by-step explanation:
Given that a city's mean minimum daily temperature in February is 22 degrees Upper F, with std deviation 6 degrees.
Let X be the minimum temperature in February
Then X is N(22,6)
To calculate percentage of days in February has minimum temperatures below freezing (32 degrees Upper F )
Probability that X <32 degrees
[tex]=P(Z<\frac{32-22}{6}) =P(Z<1.67)\\ = 0.9522[/tex]
Convert this into percent by multiplying by 100
95.22% of days in February has minimum temperatures below freezing (32 degrees Upper F )
Beatrice made 7 2/3 cups of lemonade for her lemonade stand. Later, she made 10 3/5 more cups of lemonade. How many cups of lemonade did she make in total
Answer:
She made [tex]18\frac{1}{15}[/tex] cups of lemonade in total.
Step-by-step explanation:
A fraction contains a numerator(upper value) and denominator(lower value). The total cup of lemonade that Beatrice made is 25 1/3.
What are proper and improper fractions and how do convert mixed fractions to simple fractions?A fraction contains a numerator(upper value) and denominator(lower value).
When the numerator is less than the denominator, the fraction is called a proper fraction, otherwise, it is called an improper fraction.
A proper fraction is also called a fraction which is less than 1.And an improper fraction is ≥ 1A mixed fraction contains a sum of a whole number and a proper fraction.A mixed fraction can be converted as,
2 1/2
= (2×2 + 1)/2
= 5/2
= 2.5
Given that Beatrice made lemonade twice, first, she made 7 2/3 cups of lemonade and in the second turn, she made 10 3/5 more cups of lemonade. Therefore, the total cups of lemonade that Beatrice made is,
Total cups of lemonade = 7 2/3 + 10 3/5
= 23/3 + 53/5
= (23×5 + 53×3)/(3×5)
= (115 + 265)/15
= 380/15
= 25 5/15
= 25 1/3
Hence, the total cup of lemonade that Beatrice made is 25 1/3.
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What is the result of substituting for y in the bottom equation?
y= x-7
y = x2 + 2x - 4
Answer:
x^2+x+3
Step-by-step explanation:
y=x-7
x-7=x^2+2x-4
x^2+2x-4-x+7
x^2+x+3
Answer: x-7=x^2+2x-4
A P E X
Step-by-step explanation:
but also, if you are wondering how I got to that answer, you substitute y in for the y equation. Since y=x-7 you’ll take that why and put in in the y in (y)=x^2+2x-4.
The lines below are perpendicular if the slope of the green line is 3/2 what is the slope of the red line
Answer:
The perpendicular line has a slope of -2/3
Step-by-step explanation:
Perpendicular lines have a slope that multiplies to -1
3/2 * m = -1
Multiply each side by 2/3
3/2 * 2/3 *m = -1 * 2/3
m = -2/3
Answer: -2/3
Step-by-step explanation: The key to understanding this problem is to understand what it means when slopes are perpendicular.
To most students, perpendicular lines are simply
lines that meet at a 90 degree angle.
However, when dealing with these kinds of problems, it's important
to think about perpendicular lines in terms of their slopes.
As a rule, the slopes of two perpendicular
lines are always negative reciprocals.
So if we know that the slope of one line is 3/2, we can find the slope of the other line by finding the negative reciprocal of 3/2.
So we take the fraction and flip it, then we change the sign.
So the negative reciprocal of 3/2 is -2/3.
Which point of below lie on the curve y=x^3 (1/3,1/9), (-1,1), (-2,-6), (-1/2,-1/8)
Answer:
(-1/2, -1/8)
Step-by-step explanation:
I graphed it and (-1/2, -1/8) is the only point that lands on the graph.
Josh has a itunes gift card worth $75. After he purchases the first song on itunes, the cards value is $74.11. After he purchases the second song, its value is $73.22. After he purchases the third song, its value is $72.33. Assuming the pattern continues, write an equation to define A(n), the amount of money on the gift card after n song purchases.
How many songs can Josh purchase with this card only?
Answer:
A(n)=75.89-0.89n85 songsStep-by-step explanation:
The worth of the card =$75
The value of the card decreases after each music purchase forming a sequence:
75,74.11,73.22,72.33...
Now,
74.11-75=-0.8973.22-74.11=-0.8972.33-73.22=-0.89We see that the sequence forms an arithmetic sequence:
Where the first term, a is 75
Common difference, d=-0.89
We want to write an equation to define A(n), the amount of money on the gift card after n song purchases.
For an arithmetic sequence,the nth term A(n)=a+(n-1)d
Therefore:
The amount of money on the gift card after n song purchases.
A(n)=75-0.89(n-1)
A(n)=75+0.89-0.89n
A(n)=75.89-0.89n
To find out how many songs can Josh purchase with this card only, we take our nth term A(n) of the sequence to be 0 and solve for n.
A(n)=75.89-0.89n
0=75.89-0.89n
0.89n=75.89
Divide both sides by 0.89
n=85.3
n=85
Therefore, Josh can purchase 85 songs with this card only
Which graph shows a proportional relationship
Answer:
b
Step-by-step explanation:
What is the end behavior of the polynomial function?
As x > -infinity , then y > -infinity
As x > -infinity , then y > 0
As x > infinity , then 1y > -infinity
As x > infinity , then y > 0
Answer:
as X > infinity then y>-infinity
Answer:
Both of them are negative infinity
Step-by-step explanation:
What is happening to this graph when the x-values are between -1and 1?
Answer:
B. It is Decreasing
Step-by-step explanation:
When X = -1, Y = 7/3 putting a point at (-1, 7/3)
When X = 1, Y = -1/3 putting another point at (1, -1/3)
The Y value decreases from X = -1 to X = 1
Answer:
Step-by-step explanation:
The graph and the related function are decreasing at a steady rate on the interval (-1, 1).
What is the rate of change of the amount earned with respect
to hours worked for this function?
hours per dollar
1/13 hours per dollar
2/5 hours per dollar
3 dollars per hour 13 dollars per hour
Option D 13 dollars per hour
De un total de 60 personas en una escuela , 36 han elegido el curso de computacion ¿que porcentaje represebtan
Answer:
the answer is 21.6%
Step-by-step explanation:
Help me please!! It’s due soon!!
Answer:
13.7
Step-by-step explanation:
Using cosine formula:
AB^2 = AC^2 + BC^2 - 2*AB*BC*cosC
AB^2 = 15^2 +12^2 -2*15*12*cos60
AB = 13.7 in
EASY question for y’all mathy people! Easy points, i’m just not a mathy person. question in photo.
Answer:
C
Step-by-step explanation:
This is a function because it is a standard quadratic equation, meaning it is a parabola that opens up so it passes the vertical line test.
Answer:
C
Step-by-step explanation:
It is a quadratic equation. This means it is a parabola that opens up so it does pass the vertical line quiz.
PLZZZ HELPP 3+7 - 1/2 is an example of
A. a numerical equation
B. an algebraic equation
C. a numerical expression
D. an algebraic expression
Answer:
An algebraic equation (I think :/)
Answer:
Not really
(Algebraic expression)
4.83×10^5 as an ordinary number
Answer:
483,000
Step-by-step explanation:
10^5=100,000
4.83×100,000=483,000
You start driving north for 48 miles turn right and drive east for another 14miles at the end of driving what is your striaght line distance from your starting point
Answer: 50 miles
Step-by-step explanation:
a^2 + b^2 = c^2
48^2 = 14^2 = c^2
c^2 = 2500
c = 50
Solve for v.
14 − 10v + 11 = 20v + 5(–7v − 11)
v =
Answer:
v = -16
Step-by-step explanation:
→Distribute the 5 to (-7v - 11):
14 - 10v + 11 = 20v - 35v - 55
→Add like terms:
25 - 10v = -15v - 55
→Add 15v to both sides:
25 + 5v = -55
→Subtract 25 from both sides:
5v = -80
→Divide both sides by 5:
v = -16
Answer:
[tex] \boxed{v = - 16} [/tex]
Step-by-step explanation:
[tex] = > 14 - 10v + 11 = 20v + 5( - 7v - 11) \\ \\ = > 14 + 11 - 10v = 20v + (5 \times ( - 7v)) - (5 \times 11) \\ \\ = > 25 - 10v = 20v - 35v - 55 \\ \\ = > 25 - 10v = - 15v - 55 \\ \\ = > 25 - 10v + 15v = - 55 \\ \\ = > 25 + 5v = - 55 \\ \\ = > 5v = - 55 - 25 \\ \\ = > 5v = - 80 \\ \\ = > v = - \frac{80}{5} \\ \\ = > v = - 16[/tex]
The smiths holiday tickets cost £352 including 10% flight tax. How much were the tickets before the flight task
Answer:
£320
Step-by-step explanation:
Using proportion,
If 110% = £352
100% = ?
= [tex]\frac{100}{110} * 352[/tex]
= £320
If Smiths holiday costs is 352 pounds including 10% flight tax then the tickets were of 320 pounds.
What is percentage?It is a number or ratio expressed as a fraction of 100.It is expressed by % sign.
How to calculate costs?We have been given that the total cost of Smith's holiday tickets is 352 pounds and it includes 10% flight tax. then the tickets before the flight tax can be calculated as under:
let the cost before flight tax be x.
x+ x*10%=352
x+10x/100=352
110x/100=352
110x=35200
x=35200/110
x=320
Hence if total cost is 352 pounds and it includes 10% flight tax then the cost of ticket before tax is 320 pounds.
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the table shown below represents a function.which of the following values could not be used to complete the table ?
Answer:
A worker bee has a mass of \,1\cdot{ 10^{-4}}1⋅10
−4
1, dot, 10, start superscript, minus, 4, end superscript \text{kg}kgstart text, k, g, end text. There are 4\cdot{ 10^4}4⋅10
4
4, dot, 10, start superscript, 4, end superscript worker bees living in one hive.
What is the mass of all the worker bees in the hive together?
Write your answer in scientific notation.
Step-by-step explanation:
If there is an 8.5% tax on a $30 sweater, what is the tax amount?
Answer:
$32.55
Step-by-step explanation:
Before Tax Price: $30.00
Sale Tax: 8.50% or $2.55
After Tax Price: $32.55
PLEASE HELP MEEEEE!!!!
Answer:
108 is the answer
Step-by-step explanation:
Draw a tree digram.
What is the probability of waking up early at least one day?
Answer:
The probability of waking up early at least one day is 1.2
Step-by-step explanation:
We are given the tree diagram
We are supposed to find the probability of waking up early at least one day
So, we are supposed to find the probability of waking up early for 1 and more than 1 day
By studying the tree diagram
So the probability of waking up early for 1 and more than 1 day =[tex]\frac{2}{5}+\frac{2}{5}+\frac{2}{5}[/tex]
The probability of waking up early at least 1 day = [tex]\frac{2}{5}+\frac{2}{5}+\frac{2}{5}=1.2[/tex]
Hence the probability of waking up early at least one day is 1.2
Plzz Help will mark brainlest!
Answer:
Step-by-step explanation:
180 degree
determine the equation of the line that has a slope of 1/3 and goes through (7,6)
Answer: y=1/3x+11/3
Step-by-step explanation:
Since we given the slope, we can write a slope-intercept form equation.
y=1/3x+b
Since we we don't have our y-intercept, we can plug in the coordinate we are given to find the y-intercept.
6=1/3(7)+b
6=7/3+b
11/3=b
Now that we have our y-intercept, we can complete our equation.
y=1/3x+11/3
can anyone help? i don’t understand this !
perpendicular help i need help
Answer:
m₁×m₂ = -1
m₁ = 3 and m₂ = -1/3
3×-1/3 = -1
-1 = -1
Hence proved, the given two lines are perpendicular.
Step-by-step explanation:
You can prove that the two lines are perpendicular if the following condition holds true.
m₁×m₂ = -1
Where m₁ is the slope of line 1 and m₂ is slope of line 2
So first you have to find out the slope of each line.
You are given 2 equations
y = 3x + 5 eq. 1
6y + 2x = 1 eq. 2
You have to write these equations in slope-intercept form to find out their slopes.
The slope-intercept form is given by
y = mx + b
Comparing the general form with eq. 1
y = 3x + 5
We notice that the slope is m₁ = 3
Now convert the eq. 2 into slope-intercept form
6y + 2x = 1 eq. 2
6y = -2x + 1
y = (-2x + 1)/6
y = -1/3x + 1/6 eq. 2
Comparing the general form with eq. 2
y = -1/3x + 1/6
We notice that the slope is m₂ = -1/3
Now we have slopes of both lines so let us test whether they are perpendicular or not
m₁×m₂ = -1
m₁ = 3 and m₂ = -1/3
3×-1/3 = -1
-1 = -1
Hence proved, the given two lines are perpendicular.
A trapezoid’s top measures 2.2 m, and its height measures 4.0 m. Calculate the measurement of the base if the area of the trapezoid is 13 m²
Answer:
The measurement of the other parallel side which is the base of the parallelogram is 4.3 m
Step-by-step explanation:
Mathematically, the area of a trapezoid can be calculated using the formula below;
A = 1/2 (a + b) c
where a and b are the parallel sides and c is the height
We have one parallel sides and the height including the value of the area
Let’s say A = 13
a = 2.2m
h = 4.0 m
Plugging these values, we have;
13 = 1/2(a + 2.2) 4
26 = 4(a + 2.2)
26 = 4a + 8.8
26-8.8 = 4a
4a = 17.2
a = 17.2/4
a = 4.3 m
Pls help me:(
X= –2 / Y= –4 / Z= 4
Answer:
1. 2
2. -44
3. -4
Step-by-step explanation:
idk how to explain i used a calculator sorry if im wrong
Write an equation to describe the relationship between x and y
Answer:
y= x2+x-3
Step-by-step explanation: i think this is the answer
What the answer to this
Given:
The value of x = 2.
Solution:
F ( x ) = 2x⁴ - x³ + 5x - 9
=> 2 ( 2 )⁴ - ( 2 )³ + 5 × 2 - 9
=> 2 × 16 - 8 + 10 - 9
=> 32 - 8 + 10 - 9
=> 24 + 1
=> 25
A. 25
based on the sequence -13, -8, -3, 2, 7, 12 what will be the 500th term?
Answer:
2482
Step-by-step explanation:
Because this sequence starts with -13 and adds 5 each time, the 500th term will be 5(499)-13=2482. Hope this helps!
Answer:
2482
Step-by-step explanation: