The total amount of money Mark earns after taxes have been deducted,
during a 4-week period is $1256.
What is the total earnings of Mark?The first step is to detemine his total earnings in 4 weeks:
Total earnings = 4 (earnings per hour x total hour worked per week)
4 x 8.75 x 40 = $1400
The second step is to determine the total taxes for 4 weeks
4 x 36 = $144
Now subtract $144 from $1400
$1400- $144 = $1256
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Based on the figure below, what is the value of x?
(5x + 15)
01
09
0 11
15
20°
Answer:
undefined
Step-by-step explanation:
because
the figure does not appear
To be eligible for the swim team, the mean pace a student needs to achieve on 5 laps of the pool is 60 seconds (s). The student swims a lap in 63 s, 62 s, 65 s, and 58 s on her first four laps.
What is the maximum time (in seconds) that she can take on her last lap and still make the team?
52s is the maximum time that she can take on her last lap and still make the team.
What is Statistics?Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.
Given that he mean pace a student needs to achieve on 5 laps of the pool is 60 seconds (s).
The student swims a lap in 63 s, 62 s, 65 s, and 58 s on her first four laps.
We need to find the maximum time (in seconds) that she can take on her last lap and still make the team
Let x be the maximum time (in seconds) that she can take on her last lap
60=(63+62+65+58+x)/5
300=63+62+65+58+x
300=248+x
Subtract 248 on both sides
300-248=x
x=52s
Hence, 52s is the maximum time that she can take on her last lap and still make the team.
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Write each power of ten in standard notation. 10‐³
9514 1404 393
Answer:
0.001
Step-by-step explanation:
In our base-10 place-value number system, the "places" correspond to powers of 10. Those powers start at 0 in the "ones place", and increase by 1 for each place to the left. That is, the 10s place digits have a place value of 10^1, the 100s place digits have a place value of 10^2 and so on.
The place values to the right of the decimal point work the same way. For each place to the right, the exponent decreases by 1. The tenths place (0.1) digits have a place value of 10^-1, the hundredths place (0.01) digits have a place value of 10^-2, and the thousandths place (0.001) digits have a place value of 10^-3.
10^-3 = 0.001
_____
Additional comment
Some places, 10^-3 is standard notation. That is, what is defined as "standard" varies around the world.
Evaluate m + 7.5 , when m = 8.6
Hi :)
m is a variable
m is defined as 8.6
substitued m
8.6 + 7.5 = 16.1
Answer:
m+7.5 = ? when m = 8.6
Sub 8.6 in equation for m and you get
8.6 + 7.5 = 16.1
Step-by-step explanation:
if i have 12 apples, and then sally takes one, and billy takes 8, then i go pick 18 more apple but i eat 14, how many apples do i have? ANSWER THIS FAST!!
Answer:
7 apples is the correct answer I believe.
Whats 6099 * 55 in simplest form gg
Answer:
335,445
Step-by-step explanation:
You use long multiplication to evaluate
See picture below
just explain how this is "Reflexive Property" (30 points)!!
The Reflexive Property is a property of equality that states that anything is equal to itself. This property is true for numbers, shapes, angles, and more.
In the context of geometry, the Reflexive Property of Congruence states that any geometric figure is congruent to itself. This includes angles, segments, triangles, and other polygons.
So, when you see "<J ≅ <J", it's saying that angle J is congruent to angle J, which is an application of the Reflexive Property. In other words, any angle is congruent (equal in measure) to itself.
find (f.g)(-3)when f(x)=-5x-7 and g(x)= 7x^2-2x+9
Answer:
\(f(7 {x}^{2} - 2x + 9) \\ = - 5(7 {x}^{2} - 2x + 9) - 7 \\ = - 35 {x}^{2} + 10x - 45 - 7 \\ = - 35 {x}^{2} + 10x - 38 \\ f.g( - 3) = - 35 {( - 3)}^{2} + 10( - 3) - 38 \\ f.g( - 3) = -383\)
Compute and simplify.
17/1/12/29
Answer:
0.049
Step-by-step explanation:
17÷1=17
17÷12=1.42
1.42÷29=0.049
A closed rectangular tank has a length of 8.5 feet, a width of 3.2 feet, and a height of 4.8 feet. Find the surface area of the tank.
Answer: 166.72 \(ft^{2}\)
Step-by-step explanation: math
Step-by-step explanation:
All you have to do here is use the surface area, or SA, equation.
Sa=2lw+2lh+2hw
sa=2(8.5)(3.2)+2(8.5)(4.8)+2(4.8)(3.2)
Sa=54.4+81.6+30.72
Sa=166.72
Hope this helped!
Compute P(X) using the binomial probability formula. Then determine whether the normal distribution can be used to estimate this probability. If so, approximate P(X) using the normal distribution and compare the result with the exact probability. n=60, p=0.4, x=20
Answer:
\(P(X=20)=(60C20)(0.4)^{20} (1-0.4)^{60-20}=0.0616[/
\(\mu =np= 60*0.4= 24\)
\(\sigma =\sqrt{60*0.4*(1-0.4)}= 3.79\)
And using the normal approximation we have:
\( P(19.5 < X< 20.5)\)
And we can use the z score formula and we got:
\( z=\frac{19.5-24}{3.79}= -1.19\)
\( z=\frac{20.5-24}{3.79}= -0.92\)
And using the normal standard distribution table we got:
\( P(-1.19<z<-0.92) =P(z<-0.92) -P(z<-1.19) =0.179-0.117= 0.062\)
So we see that the results are very similar
Step-by-step explanation:
Let X the random variable of interest, on this case we now that:
\(X \sim Binom(n=60, p=0.4)\)
The probability mass function for the Binomial distribution is given as:
\(P(X)=(nCx)(p)^x (1-p)^{n-x}\)
Where (nCx) means combinatory and it's given by this formula:
\(nCx=\frac{n!}{(n-x)! x!}\)
And we want to find this probability:
\( P(X=20)\)
And we can find the probability using the probability mass function
\(P(X=20)=(60C20)(0.4)^{20} (1-0.4)^{60-20}=0.0616\)
Using the normal approximation we need to find the mean and the deviation:
\(\mu =np= 60*0.4= 24\)
\(\sigma =\sqrt{60*0.4*(1-0.4)}= 3.79\)
And using the normal approximation we have:
\( P(19.5 < X< 20.5)\)
And we can use the z score formula and we got:
\( z=\frac{19.5-24}{3.79}= -1.19\)
\( z=\frac{20.5-24}{3.79}= -0.92\)
And using the normal standard distribution table we got:
\( P(-1.19<z<-0.92) =P(z<-0.92) -P(z<-1.19) =0.179-0.117= 0.062\)
So we see that the results are very similar
Question 2 of 18
If a binomial trial has a probability of success of 0.4, how many successes
would you expect out of 1500 trials?
OA. 900
OB. 600
C. 1200
D. 300
SUBMIT
Answer:
0.2 is 1/5 so 1/5 of 6000 is 1,200 successes
Step-by-step explanation:
Given : If a binomial event has a probability of success of 0.2.
To find : How many successes would you expect out of 6000 trials?
Solution :
The probability of success p=0.2.
The number of trials is n=6000
The formula to find number of successes is
The mean (expected value) of number of successes is the multiple of success and number of trials,
Please Make me Brainiest.
Fill in the table using this function rule.
f(x)=√x+5
Simplify your answers as much as possible.
Click "Not a real number" if applicable.
x
-4
0
36
64
f(x)
11
0
0
0
Not a
real
number
Start over
5
Answer:
4
Step-by-step explanation:
need an answer quick, will give the first right answer brainliest, i need a step by step explanation please
Answer: Imma say C
Step-by-step explanation:
-5+0.2(-6x+14)+6.8x simplified anwser
18
Step-by-step explanations download the app
-2x-4=3x+2
solve it please
Please help!! It’s engenuity.
9514 1404 393
Answer:
(c) 1/(36·a^4·b^10)
Step-by-step explanation:
The applicable rules of exponents are ...
(a^b)/(a^c) = a^(b-c)
(a^b)^c = a^(bc)
a^-1 = 1/a
__
\(\left(\dfrac{(2a^{-3}b^4)^2}{(3a^5b)^{-2}}\right)^{-1}=\dfrac{(3a^5b)^{-2}}{(2a^{-3}b^4)^2}=\dfrac{3^{-2}a^{-10}b^{-2}}{2^2a^{-6}b^8}=\dfrac{1}{3^22^2}a^{-10-(-6)}b^{-2-8}\\\\=\boxed{\dfrac{1}{36a^4b^{10}}}\)
What is the product? (-1 2 4) x (3 6 1 2 4 0 0 6 2)
Answer:
-44793767688
Step-by-step explanation:
(-124)×(361240062)=-44793767688
Answer:
[1 26 7] is the answer
Step-by-step explanation:
how many fourths in 1/4
Answer:
1
Step-by-step explanation:
a fourth is 1/4 meaning Fourth = 1/4
What multiple of 10 can be used to remove the decimals and fractions in this equation?
3m +7.05 + 2.3m = 19 m – 27.75
Sorry, this was the answer to the wrong question, I'm very sorry for the inconvenience.
Find the value of x, 6,4, 3x, 4x+1
Answer:
If two chords intersect in a circle, then the product of the segments of one chord equals the product of the segments of the other chord.
6(3x) = 4(4x + 1)
18x = 16x + 4
2x = 4
x = 2
Is the point (-3,2) part of the solution set to the system y < -4x - 3, x + 8y > 7
Answer:
Yes
Step-by-step explanation:
If you replace each x with -3 and each y with 2 you get:
1) 2<-4*(-3)
2<12
True
2) -3+8*2>7
13>7
True
Therefore the point is part of the solution set
Patel is solving 8x2 + 16x + 3 = 0. Which steps could he use to solve the quadratic equation? Select three options. 8(x2 + 2x + 1) = –3 + 8 x = –1 Plus or minus StartRoot StartFraction 5 Over 8 EndFraction EndRoot x = –1 Plus or minus StartRoot StartFraction 4 Over 8 EndFraction EndRoot 8(x2 + 2x + 1) = 3 + 1 8(x2 + 2x) = –3
The steps peter could use in solving the quadratic equation is by applying the quadratic formula; x = –1 Plus or minus StartRoot StartFraction 5 Over 8 EndFraction EndRoot
How to solve quadratic equation?8x² + 16x + 3 = 0
using Quadratic formula
The following steps are involved
\(x = \frac{ -b \pm \sqrt{b^2 - 4ac}}{ 2a }\)
\(x = \frac{ -16 \pm \sqrt{16^2 - 4(8)(3)}}{ 2(8) }\)
\(x = \frac{ -16 \pm \sqrt{256 - 96}}{ 16 }\)
\(x = \frac{ -16 \pm \sqrt{160}}{ 16 }\)
\(x = \frac{ -16 \pm 4\sqrt{10}\, }{ 16 }\)
\(x = \frac{ -16 }{ 16 } \pm \frac{4\sqrt{10}\, }{ 16 }\)
\(x = -1 \pm \frac{ \sqrt{10}\, }{ 4 }\)
\(x = -1 \pm \frac{ \sqrt{5}\, }{ 2 }\)
\(x = -0.209431\)
or
\(x = -1.79057\)
Therefore, the steps peter could follow will give the result
\(x = -1 \pm \frac{ \sqrt{5}\, }{ 2 }\)
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Which best analogizes Cavalieri's Principle?
A: Two planets that have different densities and surface areas but have the same volume.
B: A tree with an equal number of branches and roots that are growing at the same rate.
C: A straight column of 10 pennies having the same volume as a leaning column of 10 pennies.
D: A short, wide glass that can hold the same volume of water as a tall, thin glass.
The best option that analogizes Cavalieri's Principle is D. A short, wide glass that can hold the same volume of water as a tall, thin glass.
What is Cavalieri's Principle?To describe the relationship between solids, Cavalier introduced parallel planes and area. If every plane parallel to these two planes intersects both regions in equal-area cross-sections, the two regions have equal volumes.
The volume of a prism is calculated by multiplying the area of the base by the height.
Cavalieri's principle, named after Bonaventura Cavalieri, is a modern implementation of the method of indivisibles in geometry. It is as follows: Case in two dimensions: Assume two plane regions are included between two parallel plane lines.
The Cavalieri's Principle describes the relationship between the volumes of two solids given their cross-sections and heights. When comparing the areas of two solids given their respective bases and heights, this principle comes in handy.
It states that the volumes of two or more solids are equal when their areas and lengths are the same.
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Answer:
C: A straight column of 10 pennies having the same volume as a leaning column of 10 pennies.
Step-by-step explanation:
Student work
TRY IT #1
Write each of the following as a rational number.
b. 3
c-4
Answer:
b. 3 = 3/1
c. -4 = -4/1
Step-by-step explanation:
An integer can be written as a rational number with a denominator of 1. The denominator can be anything else, too, in which case the numerator must be multiplied by that same value.
__
b. 3 = 3/1 = 6/2 = 27/9
__
c. -4 = -4/1 = 8/-2 = -12/3
Solve the equation
-5x + 2 = 67
A) x = 13
B) x = -13
C) x = 69/5
D) x = - 69/6
Answer:
A)x=13
Step-by-step explanation:-5x+2=67 -5x=65 x=13
Answer:
B: -13
Step-by-step explanation:
67-2=65 ( or 67 + (-2) )
-5x=65
divide
65/(-5)= -13
8 sheets
4 yards per sheet =
yards
5
Answer:
4 yards per sheet and 8 sheets = 32 yards
Step-by-step explanation:
Answer:
8x4=32
So you get 32 yards for 8 sheets (or 96 feet)
Create a new pattern that follows the same rule as the one above. 6 1 4 10 11 7 5
14 9 12 18 19 15 13
I hope this helps. :)
Answer:
+4 then +1
Step-by-step explanation:
1,4,5,6,7,10,11
Find the surface area of the cone in terms of pie
16 cm
10 cm
The surface area of the cone is cm?
(Simplify your answer. Type an exact answer in terms of x.)
Answer:
all you did multiply it
Step-by-step explanation:
WILL GIVE 25 POINTS PLEASE HELP
Answer:
A: rising B: falling C: falling D: falling
Step-by-step explanation:
i think its correct i might be wrong