Answer:
$229.50
Step-by-step explanation:
Given;
The price of one pair of shorts is $45.00.
There is a 15% discount if you purchase four or more pairs
To FInd;
What is the total cost, before tax, for six pairs of shorts?
Solve:
Since one pair of shorts is $45
Then six pairs of shorts =
$45 x 6 = $270
Now it also says "There is a 15% discount if you purchase four or more pairs". So we buy six pairs thus, it more than four.
Hence,
$270 x 15% = 40.50
$270 - 40.50 = 229.50
Hence, Answer = $229.50
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100 POINTS!!!
The y-intercept of a function can be found by:
A. Making x = 0
B. Making y + 0
C. Making x = 2
D. Making y = 2
EXPLAIN
Answer:
making x=0
Step-by-step explanation:
it gives you the points where the point intersects the y-axis
Answer:
A: Making x = 0
Step-by-step explanation:
The y-intercept of a function is where x is zero (i.e. [tex]f(0)[/tex])
Which polygon has fewer than five lines of symmetry?
Answer:
Regular Polygons
Step-by-step explanation:
The area of the cross-section of this cuboid is 7 cm2. The cuboid is 4 cm long.
Question: Researchers in Pakistan wanted to better understand the effects of anthracycline (a chemotherapeutic drug) on the hearts of young children. More information on the details of their study can be found here: https://datadryad.org/stash/dataset/doi:10.5061/dryad.cg849
((The data set can be downloaded. After going to the website, the download is to the right)).
One variable the researchers calculated in these children was the E/A ratio. The E/A ratio is a measurement that reflects the health of the heart. The (E) velocity is greater than the late (A) velocity in a healthy heart. Particularly low or particularly high elevated E/A ratios indicate signs of heart issues.
The mean E/A ratio of the 110 patients in the study was 1.35. The standard deviation was 0.33.
1. One patient had an E/A ratio of 0.73. What is the z-score for this patient?
2. Assuming the population of E/A ratio scores is approximately normally distributed, what's the probability that a randomly selected person has a smaller E/A ratio than the patient in question 1?
3. Another patient had an E/A ratio of 1.96. What's the z-score for this patient? What's the probability that a randomly selected patient has a higher E/A ratio?
4. Which patient has a more extraordinary E/A ratio? Why? Be sure to refer to the z-scores to support your answer.
Using the normal distribution, it is found that:
1. His z-score was of Z = -1.88.
2. There is a 0.0301 = 3.01% probability that a randomly selected person has a smaller E/A ratio than the patient in question 1.
3. Z-score of z = 1.85, there is a 0.0322 = 3.22% probability that a randomly selected patient has a higher E/A ratio.
4. Due to the higher absolute value of the z-score, the first patient had a more extraordinary result.
Normal Probability DistributionIn a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
It 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, which is the percentile of X.In this problem:
The mean is of [tex]\mu = 1.35[/tex].The standard deviation is of [tex]\sigma = 0.33[/tex].Item 1:
Considering his ratio, we have that X = 0.73, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{0.73 - 1.35}{0.33}[/tex]
[tex]Z = -1.88[/tex]
His z-score was of Z = -1.88.
Item 2:
The probability is the p-value of Z = -1.88, hence, there is a 0.0301 = 3.01% probability that a randomly selected person has a smaller E/A ratio than the patient in question 1.
Item 3:
Score of X = 1.96, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{1.96 - 1.35}{0.33}[/tex]
[tex]Z = 1.85[/tex]
The probability is 1 subtracted by the p-value of Z = 1.85, hence, 1 - 0.9678 = 0.0322 = 3.22% probability that a randomly selected patient has a higher E/A ratio.
Item 4:
Due to the higher absolute value of the z-score, the first patient had a more extraordinary result.
More can be learned about the normal distribution at https://brainly.com/question/24663213
Simplify 4x + 8 + 2x - 7
Answer:
6x+1
Step-by-step explanation:
Answer:
6x+1
Step-by-step explanation:
Hi there!
We are given the following expression:
4x + 8 + 2x - 7
And we want to simplify
When we simplify, we want to combine like terms. This means that we want to add terms with the same variables together (like x), and then combine them
If there is no variable, then we add and combine the terms that don't have any variable together as well
Please note that we cannot combine terms with different variables (so if you had x+y, then it would stay as x+y).
In this case, we have 4x + 8 + 2x - 7
4x and 2x are like terms; they have the same variable (x). If we add them together, the result is 6x
8 and -7 are also like terms; they both don't have a variable. If we add (or rather, subtract) these terms, the result is 1.
Now we add 6x and 1 together, which would be 6x+1 (1 doesn't have a variable after it, so we can't combine it with 6x).
6x+1 is our answer.
Hope this helps!
See more on combining like terms here: https://brainly.com/question/16316741
The 4th and the last terms of an A.P. are 11 and 89 respectively. If there are 30 terms in the A.P., find the A.P. and its 23rd term.
[tex]\underline{\underline{\large\bf{Given:-}}}[/tex]
[tex]\red{\leadsto}\:[/tex][tex]\textsf{} [/tex][tex]\sf Number \: of \:terms \: in \: A.P,n = 30[/tex]
[tex]\red{\leadsto}\:[/tex][tex]\textsf{} [/tex][tex]\sf Fourth \: term ,a_4 = 11 [/tex]
[tex]\red{\leadsto}\:[/tex][tex]\textsf{} [/tex][tex]\sf last\:term, a_{30} = 89 [/tex]
[tex]\underline{\underline{\large\bf{To Find:-}}}[/tex]
[tex]\orange{\leadsto}\:[/tex][tex]\textsf{ } [/tex][tex]\sf The \: A.P. [/tex]
[tex]\orange{\leadsto}\:[/tex][tex]\textsf{ } [/tex][tex]\sf 23rd\: term, a_{23} [/tex]
[tex]\\[/tex]
[tex]\underline{\underline{\large\bf{Solution:-}}}\\[/tex]
The nth term of A.P is determined by the formula-
[tex]\green{ \underline { \boxed{ \sf{a_n = a+(n-1)d}}}}[/tex]
where
[tex]\sf a = first \:term[/tex][tex]\sf a_n = nth \: term[/tex][tex]\sf n = number \:of \:terms [/tex][tex]\sf d = common \: difference [/tex]Since ,
[tex]\sf a_4 = 11 [/tex]
[tex]\longrightarrow[/tex] [tex]\sf a+(4-1) d= 11 [/tex]
[tex]\longrightarrow[/tex] [tex]\sf a+3d= 11\_\_\_(1) [/tex]
[tex]\sf a_{30}= 89 [/tex]
[tex]\longrightarrow[/tex] [tex]\sf a+(30-1)d=89[/tex]
[tex]\longrightarrow[/tex][tex]\sf a+29d= 89\_\_\_(2)[/tex]
Subtracting equation (1) from equation(2)
[tex]\begin{gathered}\\\implies\quad \sf a+29d-(a+3d) = 89-11 \\\end{gathered} [/tex]
[tex]\begin{gathered}\\\implies\quad \sf a+29d-a-3d = 78 \\\end{gathered} [/tex]
[tex]\begin{gathered}\\\implies\quad \sf a-a+29d-3d = 78 \\\end{gathered} [/tex]
[tex]\begin{gathered}\\\implies\quad \sf 26d = 78 \\\end{gathered} [/tex]
[tex]\begin{gathered}\\\implies\quad \sf d = \frac{78}{26} \\\end{gathered} [/tex]
[tex]\begin{gathered}\\\implies\quad \sf d = 3 \\\end{gathered} [/tex]
Putting the value of d in equation (1) -
[tex]\begin{gathered}\\\implies\quad \sf a+3(3) = 11 \\\end{gathered} [/tex]
[tex]\begin{gathered}\\\implies\quad \sf a = 11-9 \\\end{gathered} [/tex]
[tex]\begin{gathered}\\\implies\quad \sf a = 2 \\\end{gathered} [/tex]
First term of A.P, a = 2Second term of A.P.,[tex]\sf a_2= 2+(2-1)\times 3[/tex][tex]\quad\quad\quad\sf =2+3[/tex]
[tex]\quad\quad\quad\sf =5 [/tex]
Third term of A.P.,[tex]\sf a_3= 2+(3-1)\times 3[/tex][tex]\quad\quad\quad\sf =2+6[/tex]
[tex]\quad\quad\quad\sf =8 [/tex]
[tex]\longrightarrow[/tex]Thus , The A.P is 2,5,8,. . . . . .
Now,
[tex]\begin{gathered}\\\implies\quad \sf a_n = a+(n-1)d \\\end{gathered} [/tex]
[tex]\begin{gathered}\\\implies\quad \sf a_{23 }= 2+(23-1)\times 3 \\\end{gathered} [/tex]
[tex]\begin{gathered}\\\implies\quad \sf a_{23} = 2+22 \times 3 \\\end{gathered} [/tex]
[tex]\begin{gathered}\\\implies\quad \sf a_{23} = 2+66 \\\end{gathered} [/tex]
[tex]\begin{gathered}\\\implies\quad \sf a_{23} = 68 \\\end{gathered} [/tex]
[tex]\longrightarrow[/tex]Thus , 23rd term is 68.
Whats 6 x 789 + 12?
Whoever answers first get brainliest if some else answers- if ur late its ok ill rate u 5 stars and a thanks
Answer:
4,746
Step-by-step explanation:
[tex]6 \times 789 = 4734[/tex]
[tex]4734 + 12 = 4746[/tex]
Answer:
It's 4746.
Step-by-step explanation:
If the skyscraper is 952 feet high, approximately how long will it take for the baseball to hit the ground? (Estimate your answer to one decimal place.)
The function of the baseball is a quadratic function
The baseball hits the ground after 7.7 seconds
How to determine when the baseball hits the ground?The function is given as:
h(t) = -16t^2 + v0t + h0
Where:
v0 = 0 --- the initial velocity
h0 = 952 -- the height of the skyscraper
So, we have:
h(t) = -16t^2 + 952
When the baseball hits on the ground, h(t) = 0.
So, we have:
-16t^2 + 952 = 0
Collect like terms
-16t^2 =- 952
Divide both sides by -16
t^2 =59.5
Take the square root of both sides
t =7.7
Hence, the baseball hits the ground after 7.7 seconds
Read more about quadratic functions at:
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Help ME PLEASE EXPLAIN HURRY!!!!!
Find the value of x.
Answer: 38
Step-by-step explanation: this is a 90 degree angle and 90-52= 38
How is the product of 2 and –5 shown using integer tiles? 2 positive tiles and 5 negative tiles. 2 negative tiles and 5 positive tiles. 5 negative tiles and 5 negative tiles. 5 positive tiles and 5 positive tiles.
Answer:
C
Step-by-step explanation:
5 negative tiles and 5 negative tiles.
The product of 2 and - 5 is shown in 'option 3' with 5 negative tiles and 5 negative tiles.
What is Multiplication?To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.
We have to given that;
The product of 2 and - 5.
After multiply, we get;
⇒ 2 × - 5 = - 10
Thus, The correct option is,
⇒ 5 negative tiles and 5 negative tiles.
Learn more about the multiplication visit:
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help please, can you figure it out?
Which two are correct? Please help me out with this
Answer:
I think
Step-by-step explanation:
D and E are right.
==================================================
Explanation:
The domain is the set of all real numbers because we can replace x with any real number we want to get some y output. There isn't any restriction on x. We don't have to worry about dividing by zero for instance. This is why choice A is one of the answers.
The range is restricted however. The largest value we can make in the range is y = 0. The graph of y = -4x^2 shows a parabola that opens upside down. The highest point is at (0,0). So that's why choice D is the other answer.
---------------------------
Extra info:
Choice B is false because we can get outputs like y = -3, y = -2, y = -1, or y = 0.Choice C is false. A parabola has one half increasing, and the other half decreasing.Choice E is false since there is only one x intercept and it happens at (0,0) in this case. This is also the location of the y intercept as well. See the graph below.The Starlight Bowling Alley charges $6 to rent shoes and $8 per game. Cameron has
only $42 to spend. Which inequality represents this scenario if X represents the
number of games Cameron can play?
Answer:
4.5 Games
Step-by-step explanation:
42 Minus 6 (shoes)= 36
36 divided by 8 (each game) would equals 4.5
What type of number -75 A)rational number B)irrational C) integer D) whole number E)natural number. Reply quickly
Answer:
Rational number
Step-by-step explanation:
Hope this helps
Answer:
Your answer is: A) Rational
A rational number is any integer, fraction, terminating decimal, or repeating decimal.
Step-by-step explanation:
Hope this helped : )
Elsa 65 miles per hour for 162. 5 miles how many hours
Answer:
2:29:32
Step-by-step explanation:
time = distance/speed= 162mi/65
=162/65 =2.49231
=2 hours 29 minutes 32 seconds
=02:29:32 (hh:mm:ss)
Hope this helps!
please help me which is a function and why
Answer:
576
Step-by-step explanation:
-67+ r7
complete the table of values for y=x^2-2
PLS HELP ASAP THANKS ILL GIVE BRAINLKEST PLS THANKS PLS
In a factory 80 workers were female and 120 male what was the percentage of female workers?
Answer: Percentage of female workers = 40%
Step-by-step explanation: No of Female workers = 80
No of Male workers = 120
Total No of workers = 120+80= 200
percentage of female workers =80 of 200%= 40
Solve for x.
What is the solution for x in the equation?
please help.
A.
B.
C.
D.
Answer:
B
Step-by-step explanation:
5/3x + 4 = 2/3x
5/3x - 2/3x = - 4
x= - 4
ASAP ! GOD BLESS U!!!
Answer:
24 square metres
Step-by-step explanation:
Its basic math. You do 4 x 6 and you get the area.
Select the correct answer from each drop-down menu.
Answer:
x = 95 , y = 147 , z = 128
Step-by-step explanation:
the exterior angle of a triangle is equal to the sum of the two opposite interior angles.
x is an exterior angle of the triangle , then
x = 45 + 50 = 95
vertex of triangle ( with x in it ) = 180 - 95 - 52 = 180 - 147 = 33
the vertex and y are adjacent angles on a straight line and sum to 180 , then
y = 180 - 33 = 147
z is an exterior angle of the triangle , then
z = 95 + 33 = 128
a triangle has an area of 68 ft and a height of 16 ft what is the length of the base
Answer:
8.5
Step-by-step explanation:
First we need to know the formula is BxH/2 for triangles. First we would do 68x2=136. Then we would do 136/16 which would give you 8.5! Hope this helps!
A triangle having area of 68 ft and a height of 16 ft, the length of the base for a triangle is, 8.5 ft
What is the area?An area is total space occupied by two-dimensional or flat surfaces. In other words we can say that it is a number of unit squares present in a closed figure. We use various units for measurement of area like, cm², m², ft², mm².
Given that,
a triangle has an area of 68 ft
a height of 16 ft
the length of the base = ?
Area of triangle = 1/2×base×height
68 = 1/2×base×16
base = 8.5 ft
Hence, the length of the base is 8.5 ft
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5.023 x 10^10
Write this out as a normal number.
Answer:5.023E10
Step-by-step explanation:
c) What is the value
of the digit 7 in the number 4.7237 as a fraction
Answer:
7/10, 7/10,000
Step-by-step explanation:
There are two digits 7.
The one to the left is in the tenths place, so its value is 7/10.
The one tot eh right is in the ten-thousandths place, so its value is 7/10,000.
Answer:
THE ONE IN THE TENTHS PLACE WOULD BE 7/10
THE ONE N THE MILLOINTHS PLACE WOULD BE 7/1,000,000
Step-by-step explanation:
Good Luck!
What is the slope in this equation
Answer number 2 and 3 please
Answer:
c
Step-by-step explanation:
Grace Charges $12 An Hour To Babysit And an Additional $20 for Homework help Write an Expression that can be used to find the total amount of money Grace makes for an hour
Plaese help
Answer:
12h+20=M
Where H=hours babysitting and M= money made or total amount
in this case since it's only an hour the equation would be 12(1)+20=M
12*1=12 and 12+20=32 so in the one hour with homework help would give you 32=M just for one hour.
Note that the 20 never changes considering it's only the charge for helping with homework and not over an hour.
But since this only asked for an hour and never specified if it was with the homework help here's this
12h=M
Step-by-step explanation:
Hope this helped.
After 1 year, $50,000 deposited in a savings account with simple interest had earned $4,000 in interest. What was the interest rate? Use the formula i = prt, where i is the interest earned, p is the principal (starting amount), r is the interest rate expressed as a decimal, and t is the time in years.
Answer:
the interest rate should be 8% let me know if u want me to explain it
Question 2 please fas
Answer:
a = 3, b = 2
Step-by-step explanation:
It is given that both the polynomials are equal.
Therefore, h(x) = k(x)
[tex] {x}^{3} + (a + b) {x}^{2} - 4x + 2 \\ = {x}^{3} + 5 {x}^{2} - (2a - b)x + 2 \\ \\ equating \: like \: terms \: on \: both \: sides \\ (a + b) {x}^{2} = 5 {x}^{2} \\ \implies \: a + b = 5.....(1) \\ \\ - (2a - b)x = - 4x \\ 2a - b = 4....(2) \\ \\ adding \: equations \: (1) \: and \: (2) \\ \\ 3a = 9 \\ \implies \: a = \frac{9}{3} \\ \huge \red{ \boxed{\implies \: a = 3}} \\ \\ substituting \: a = 3 \: in \: equation \: (1) \\ 3 + b = 5 \\ \implies \: b = 5 - 3 \\ \huge \purple{ \boxed{ \implies b = 2}}[/tex]