Answer:
1.69Step-by-step explanation:
Let the five courses with their corresponding credit hours be represented as shown;
FST 201 = 4
FST 203 = 5
FST 112 = 1
FST 219 = 5
FST 223 = 4
If a student earned grades of B, B, A, C, and D respectively in those courses with the following grading system A =4, B =3, C =2, D =1, and F =0, before we can get the student GPA, we need to know the total credit point for the five courses.
Credit point for each course = Number of credit hour * point for each grade
FST 201 = 4 * 4 = 16points (A)
FST 203 = 5 * 4 = 20points (A)
FST 112 = 1 * 4 = 4points (A)
FST 219 = 5 * 4 = 20points (A)
FST 223 = 4 * 4 = 16points (A)
Total credit point = 16+20+4+20+16 = 76points
Total credit point gotten by the student is calculated as thus;
FST 201 = 4 * 3 = 12points (B)
FST 203 = 5 * 3 = 15points (B)
FST 112 = 1 * 4 = 4points (A)
FST 219 = 5 * 2 = 10points (C)
FST 223 = 4 * 1 = 4points (D)
Total credit point gotten by the student = 45points.
student's Grade Point Average (GPA) = Total credit point/Total credit point gotten by the student = 76/45 = 1.69 (to 2dp)
Dominics two daughters both want to take gymnastics this year. It cost 90 per month per child. How much dose dominic need to budget for a year ( 12 months) of gymnastics for both daughters
Answer:
$2,160 is what he need for both daughters for 1 year
Step-by-step explanation:
90 x 2 = 180
180 x 12 = 2,160
Dominic need to budget a total of 2160 for a year of gymnastics for both daughters.
What is Multiplication?Multiplication is one of the basic mathematical operations which includes a number added repeatedly to times of the other number. The final answer is called the product of the numbers.
Multiplication is usually denoted as '×' sign.
a × b indicates that a is added repeatedly upto b times.
Cost for the gymnastics per month per child = 90
In order to find the cost per month for both daughters, we need to multiply 90 with 2.
Cost for the gymnastics per month for 2 daughters = 2 × 90 = 180
To find the total cost for an year, we need to multiply 180 with 12.
Total cost for the year = 180 × 12 = 2160
Hence the total budget for Dominic to send both the daughter in a year is 260.
To learn more about Multiplication, click on the link given below:
https://brainly.com/question/12017228
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what is the square root of -16
Answer:
Step-by-step explanation:
[tex]\sqrt{-16}=\sqrt{16i^{2}}\\\\ =\sqrt{4^{2}*i^{2}}\\\\=4i[/tex]
the pie chart on the left shows the mean of transport 60 people use every morning to get to work. How many people use the train to go to work
Answer:
I wanna end myself bye random stranger.
17. Write the greatest and the smallest 4-digit numbers using four different digits
with the conditions as given:
( Digit 7 is always at units place.
Answer:
Greatest number = 9867
Smallest number = 1027
Step-by-step explanation:
Greatest number:
- - - 7
In order to form the greatest number, we should simply put the greatest available digit at the thousands place, the second greatest at the hundreds place and the third greatest at the tens place (which would be 9, 8, and 6 respectively).
9867
Smallest number:
- - - 7
In order to form the greatest number, we should simply put the lowest available digit at the thousands place (excluding zero since a number can't start with a zero), put zero at the hundreds place and the third lowest at the tens place (which would be 1, 0, and 2 respectively).
1027
Want Brainliest? Get this correct Which of the following is the quotient of the rational expressions shown below?
Answer:
B. 3x+15 / 4x+10
Step-by-step explanation:
[tex]\frac{3x+}{2x+5}[/tex] X [tex]\frac{x+5}{2x}[/tex] -> multiply by the reciprocal
[tex]\frac{3x}{2x+5}[/tex] X [tex]\frac{x+5}{2x}[/tex] -> reduce the expression
[tex]\frac{3}{2x+5}[/tex] X [tex]\frac{x+5}{2}[/tex] -> multiply the fractions
[tex]\frac{3(x+5)}{2(2x+5)}[/tex] -> remove parenthesis
and you get:
[tex]\frac{3x+15}{4x+10}[/tex]
-Hope this helps :)
This question has several parts that must be completed sequentially. If you skip a part of the question, you will not receive any points for the skipped part, and you will not be able to come back to the skipped part.
Tutorial Exercise Find the indefinite integral.
a) dx3x 2 + 2
b) x3 + 2x
c) dx6x 5 + 5
d) x6 + 5x
Answer:
a.) dx3x² + 2
Use the properties of integrals
That's
integral 3x² + integral 2
= 3x^2+1/3 + 2x + c
= 3x³/3 + 2x + c
= x³ + 2x + C
where C is the constant of integration
b.) x³ + 2x
Use the properties of integrals
That's
integral x³ + integral 2x
= x^3+1/4 + 2x^1+1/2
= x⁴/4 + 2x²/2 + c
= x⁴/4 + x² + C
c.) dx6x 5 + 5
Use the properties of integrals
That's
integral 6x^5 + integral 5
= 6x^5+1/6 + 5x
= 6x^6/6 + 5x
= x^6 + 5x + C
d.) x^6 + 5x
integral x^6 + integral 5x
= x^6+1/7 + 5x^1+1/2
= x^7/7 + 5/2x² + C
Hope this helps
KARUNA OPENED A CANDY SHOP AND SELLS CHOCOLATE AND PEANUT
BUTTER FUDGE BY THE POUND. THE CHOCOLATE FUDGE COSTS $3.20 PER
POUND AND THE PEANUT BUTTER FUDGE COSTS $3.00 PER POUND. ON A
GIVEN DAY KARUNA'S CANDY SHOP SELLS 15.5 POUNDS OF FUDGE FOR A
GROSS PROFIT OF $48.50
A WRITE A SYSTEM OF EQUATIONS TO DESCRIBE THE SCENARIO WHERE C
REPRESENTS THE NUMBER OF POUNDS OF CHOCOLATE FUDGE SOLD,
AND P REPRESENTS THE NUMBER OF POUNDS OF PEANUT BUTTER
FUDGE SOLD
B. HOW MANY POUNDS OF PEANUT BUTTER FUDGE DID KARUNA'S CANDY
SHOP SELL?
Answer:
A. System of equations:
[tex]3.2C+3P=48.5\\C+P=15.5[/tex]
B. 5.5 pounds of peanut butter fudge were sold.
Step-by-step explanation:
Given:
Cost of chocolate fudge = $3.20
Cost of peanut butter fudge = $3.00
Total pounds sold = 15.5
Total gross profit = $48.50
C is the number of pounds of chocolate fudge sold.
P is the number of pounds of peanut butter fudge sold.
To find:
System of equations and number of pounds of peanut butter fudge sold = ?
Solution:
As per given conditions:
1. [tex]C+P=15.5[/tex]
Gross profit from Chocolate fudge: [tex]3.20 \times C[/tex]
Gross profit from Peanut Butter fudge: [tex]3.00 \times P[/tex]
Total gross profit = [tex]3.20C+3.00P = 48.50[/tex]
So, the system of equations is:
[tex]3.2C+3P=48.5\\C+P=15.5[/tex]
2. To find P.
Let us solve the equations.
Multiply 2nd equation with 3 and subtracting from 1st equation:
[tex]0.2C = 48.5- 3 \times 15.5\\\Rightarrow 0.2C = 48.5- 46.5\\\Rightarrow C = 10\ pounds[/tex]
Putting in 2nd equation:
[tex]10+P=15.5\\\Rightarrow P =5.5\ pounds[/tex]
So, the answer is:
5.5 pounds of peanut butter fudge were sold.
Do Audience Ratings Differ Based on the Genre of the Movie? The dataset HollywoodMovies includes a quantitative variable on the Audience-Score of the movie as well as a categorical variable classifying each movie by its Genre. The computer output above gives summary statistics for audience ratings based on genre for a sample of the movies, using four of the possible genres. Variable Genre N Mean StDev Minimum Qi Median Q3 Maximum Audience Score Action 32 58.63 18.39 32.00 44.50 51.00 78.00 93.00 Comedy 27 59.11 15.68 31.00 48.00 58.00 71.00 93.00 Drama 21 72.10 14.55 46.00 59.00 72.00 84.50 91.00 Horror 17 48.65 15.88 25.00 34.00 52.00 60.50 78.00 (a) Which genre has the highest mean audience score? The lowest mean audience score? (b) Which genre has the highest median score? The lowest median score? (c) In which genre is the lowest score, and what is that score? In which genre is the highest score, and what is that score? (d) Which genre has the largest number of movies in that category? (e) Calculate the difference in mean score between comedies and horror movies, and give notation with your answer, using i, for the mean comedy score and , for the mean horror score.
Answer:
Step-by-step explanation:
Hello!
(a) Which genre has the highest mean audience score? The lowest mean audience score?
1) Action [tex]\frac{}{X}_1[/tex]= 58.63
2) Comedy [tex]\frac{}{X}_2[/tex]= 59.11
3) Drama [tex]\frac{}{X} _3[/tex] = 72.10
4) Horror [tex]\frac{}{X}_4[/tex]= 48.65
The lowest mean score is [tex]\frac{}{X}_4[/tex]= 48.65
The highest mean score is [tex]\frac{}{X} _3[/tex] = 72.10
(b) Which genre has the highest median score? The lowest median score?
1) Action Me₁= 51.00
2) Comedy Me₂= 58.00
3) Drama Me₃= 72.00
4) Horror Me₄= 52.00
The Lowest median is Me₁= 51.00
The Highest median is Me₃= 72.00
(c) In which genre is the lowest score, and what is that score? In which genre is the highest score, and what is that score?
Lowest or minimum scores:
1) Action 32.00
2) Comedy 31.00
3) Drama 46.00
4) Horror 25.00
The genre with the lowest score is "Comedy"
Highest or maximum scores:
1) Action 93.00
2) Comedy 93.00
3) Drama 91.00
4) Horror 78.00
There are two genres with the highest score "Action" and "Comedy"
(d) Which genre has the largest number of movies in that category?
The number of movies for each category corresponds to the sample sizes:
1) Action n₁= 32
2) Comedy n₂= 27
3) Drama n₃= 21
4) Horror n₄= 17
The largest number of movies sampled was for the genre "Action"
(e) Calculate the difference in mean score between comedies and horror movies, and give notation with your answer, using i, for the mean comedy score and, for the mean horror score.
Comedy [tex]\frac{}{X}_C[/tex]= 59.11
Horror [tex]\frac{}{X}_H[/tex]= 48.65
[tex]\frac{}{X}_C[/tex] - [tex]\frac{}{X}_H[/tex]= 59.11 - 48.65= 10.46
I hope this helps!
Where is the opposite of the opposite of -1.9 situated on the number line?
Answer:
-1.9
Step-by-step explanation:
The opposite of the opposite is the original number, -1.9.
It is located at -1.9 on the number line.
Answer:
a
Step-by-step explanation:
If a4=16 and a8=32 and an= 128 for an arithmetic sequence what is the value of n?
Answer:
n = 32
Step-by-step explanation:
an = a1 + (n - 1)d
a4 = a1 + 3d = 16
a8 = a1 + 7d = 32
7d - 3d = 32 - 16
4d = 16
d = 4
a4 = a1 + 3d = 16
a1 + 3(4) = 16
a1 + 12 = 16
a1 = 4
an = 4 + (n - 1)4 = 128
4 + 4n - 4 = 128
4n = 128
n = 32
QUESTION 4
In a class. 30 students read English, 25 read Mathematics, 5 read both subjects and 6 were
allowed to read both subjects. How many students are in the class?
CH
Answer:
66
Step-by-step explanation:
30+25+5+6 = 66.
There are 66 students in the class.
I'm having trouble finding the missing number. Please simplify the resulting fraction. Thank you in advance. : 0) 7/8 = ?/48
Answer:
42
Step-by-step explanation:
7/8 = x / 48
We need to get a common denominator
Multiply the left side by 6
7/8 *6/6 = x/48
42/48 = x/48
Since the denominators are equal, the numerators must be equal
42 =x
Answer:
42
Step-by-step explanation:
7/8=42/48
Cross products: 7(48)=8x
The water was pumped out of a backyard pond. What is the domain of this graph?
There is a 0.9986 probability that a randomly selected 27-year-old male lives through the year. A life insurance company charges $174 for insuring that the male will live through the year. If the male does not survive the year, the policy pays out $90 comma 000 as a death benefit. Complete parts (a) through (c) below. a. From the perspective of the 27-year-old male, what are the monetary values corresponding to the two events of surviving the year and not surviving? The value corresponding to surviving the year is $ negative 173.76. The value corresponding to not surviving the year is $ 125.76.
The question is incomplete! Complete question along with answer and step by step explanation is provided below.
Question:
There is a 0.9986 probability that a randomly selected 27-year-old male lives through the year. A life insurance company charges $174 for insuring that the male will live through the year. If the male does not survive the year, the policy pays out $90 comma 000 as a death benefit. Complete parts (a) through (c) below.
a. From the perspective of the 27-year-old male, what are the monetary values corresponding to the two events of surviving the year and not surviving?
b. If the 27 -year-old male purchases the policy, what is his expected value?
c. Can the insurance company expect to make a profit from many such policies? Why? From the point of view of the insurance company, the expected value of the policy is
Answer:
a. The life insurance company charges $174 for insuring if the male survives
Value(survive) = -$174
The life insurance company pays $90,000 for insuring if the male does not survive.
Value(not survive) = $89,826
b. The expected value for a 27-year-old male is
E(x) = -$48
c. The expected value for the insurance company is
E(x) = $48
Step-by-step explanation:
The probability that a randomly selected 27-year-old male survives is given by
P(survive) = 0.99864
The probability that a randomly selected 27-year-old male does not survive is given by
P(not survive) = 1 - P(survive)
P(not survive) = 1 - 0.99864
P(not survive) = 0.0014
a. From the perspective of the 27-year-old male, what are the monetary values corresponding to the two events of surviving the year and not surviving?
If 27-year-old male survives:
The life insurance company charges $174 for insuring if the male survives
Value(survive) = -$174
If 27-year-old male does not survive:
The life insurance company pays $90,000 for insuring if the male does not survive.
Value(not survive) = $90,000 - 174
Value(not survive) = $89,826
b. If the 27-year-old male purchases the policy, what is his expected value?
The expected value for a 27-year-old male is given by
E(x) = P(survive)×Value(survive) + P(not survive)×Value(not survive)
E(x) = 0.9986×-174 + 0.0014×89,826
E(x) = -$48
The negative sign indicates that it is a loss from the perspective of the 27-year-old male.
c. Can the insurance company expect to make a profit from many such policies? Why? From the point of view of the insurance company, the expected value of the policy is
The expected value for the insurance company is given by
E(x) = 0.9986×174 + 0.0014×-89,826
E(x) = $48
The positive sign indicates that it is a profit from the perspective of the insurance company.
helppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppp
Answer:
The picture on the bottom right.
Step-by-step explanation:
There are eight compartments and seven of it is shaded and the other one five of the eight compartments are shaped.
I hope this helps :)
Suppose that a high school marching band has 97 members. Of these 97 band members, 31 are seniors, 18 play the trumpet, and 6 are seniors who play the trumpet.What is the probability that a randomly selected band member is a senior given that he or she plays the trumpet? Give your answer as a percentage, rounded to one decimal place.___%What is the probability that a randomly selected band member plays the trumpet given that he or she is a senior?___%
Answer:
Step-by-step explanation:
33.3%
19.4%
My soccer team has 16 players. I have to choose a starting lineup of a goalie and 10 regular players (the regular players are interchangeable). How many different starting lineups can i choose? *the answer is not 4368*
Answer:
3003
Step-by-step explanation:
We want to find out how many ways we can choose 10 players among 15 players (since the goalie is not interchangeable)
The number of different lineups you can have can be found by using combination:
[tex]^{15}C_{10} = \frac{15!}{(15 - 10)! 10!}\\ \\= \frac{15!}{5! * 10!} \\\\= 3003[/tex]
There are 3003 different lineups that can be chosen.
In 1998, Mary Meagher set the women's world swimming record for the 100-m butterfly. She swam the distance in 57.93 seconds. On average, how long did she take to swim 10 m?
Answer:
5.793 s
Step-by-step explanation:
On average she swam 1/10 the distance in 1/10 the time.
She took an average of 5.793 seconds to swim 10 m.
___
10 m is 1/10 of 100 m
can someone please help me with this
Hope you understand :)
Answer:
DF = 3.0
<E = 31°
<F = 59°
Step-by-step explanation:
1. Use the Pythagorean Theorem to find side DF.
a² + b² = c²
5² + b² = 5.83²
25 + b² = 33.9889
b² = 8.9889
b = √8.9889
b = 2.998149429
b = 3.0
Side DF is equal to 3.0.
2. Use SOHCAHTOA to find the measure of <E. We know two sides: adjacent (5) and hypotenuse (5.83). So, we will use cosine.
Cosine = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{5}{5.83}[/tex] = 0.8576329331
Take the inverse cosine to find <E in degrees.
cos⁻¹ (0.8576329331) = 30.95 = 31°
<E is equal to 31°.
3. Add the two angles and subtract from 180° or use SOHCAHTOA to find the measure of <F.
90° + 31° + x = 180°
121° + x = 180°
x = 59°
or
We know two sides: adjacent (3.0) and hypotenuse (5.83). So, we will use cosine.
Cosine = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{3.0}{5.83}[/tex] = 0.5145797599
Take the inverse cosine.
cos⁻¹(0.5145797599) = 59.03063031 = 59°
<F is equal to 59°.
Hope that helps. :)
What is the slope of a line perpendicular to y=-7X?
O A.
4
B.
IN
N
O c.
4
O D.
PLZZZ HELP
Answer:
1/7
Step-by-step explanation:
y=-7X
The slope of this line is -7
Perpendicular lines have slopes that multiply to -1
-7 * m = -1
Divide each side by -7
m = -1 / -7
m = 1/7
The slope of the perpendicular line is 1/7
Answer:
1/7
Step-by-step explanation:
Perpendicular slope can be calculated by take the opposite/negative reciprocal of the given slope. This means multiply the given slope by -1 (so if it is negative it becomes positive and if it is positive then becomes negative) and then flip the numerator and denominator.
So -7 is the slope of the given equation (y = mx + b where is m is slope and b is the y-intercept).
to find perpendicular slope..
Step 1. Multiple -7 by -1 = 7
Step 2. Flip 7/1 to 1/7
Answer: 1/7 is perpendicular slope
Eighteen telephones have just been received at an authorized service center. Six of these telephones are cellular, six are cordless, and the other six are corded phones. Suppose that these components are randomly allocated the numbers 1, 2, . . . , 18 to establish the order in which they will be serviced. (Round your answers to four decimal places.)
(a) What is the probability that all the cordless phones are among the first twelve to be serviced?
(b) What is the probability that after servicing twelve of these phones, phones of only two of the three types remain to be serviced?
(c) What is the probability that two phones of each type are among the first six serviced?
Answer:
a) 0.0498
b) 0.1489
c) 0.1818
Step-by-step explanation:
Given:
Number of telephones = 6+6+6= 18
6 cellular, 6 cordless, and 6 corded.
a) Probability that all the cordless phones are among the first twelve to be serviced:
12 are selected from 18 telephones, possible number of ways of selection = ¹⁸C₁₂
Then 6 cordless telephones are serviced, the remaining telephones are: 12 - 6 = 6.
The possible ways of selecting thr remaining 6 telephones = ¹²C₆
Probability of servicing all cordless phones among the first twelve:
= (⁶C₆) (⁶C₁₂) / (¹⁸C₁₂)
[tex] = \frac{1 * 924}{18564} [/tex]
[tex] = 0.0498 [/tex]
b) Probability that after servicing twelve of these phones, phones of only two of the three types remain to be serviced:
Here,
One type must be serviced first
The 6 remaining to be serviced can be a combination of the remaining two types.
Since there a 3 ways to select one type to be serviced, the probability will be:
= 3 [(⁶C₁)(⁶C₅) + (⁶C₂)(⁶C₄) + (⁶C₃)(⁶C₃) + (⁶C₄)(⁶C₂) + (⁶C₅)(⁶C₁)] / ¹⁸C₁₂
[tex] = \frac{3 * [(6)(6) + (15)(15) + (20)(20) + (15)(15) + (6)(6)]}{18564}[/tex]
[tex] = \frac{2766}{18564} [/tex]
[tex] = 0.1489 [/tex]
c) probability that two phones of each type are among the first six:
(⁶C₂)³/¹⁸C₆
[tex] \frac{3375}{18564}[/tex]
[tex] =0.1818 [/tex]
I NEED HELP ASAP PLEASE, THANKS! :)
Answer:
[tex]\dfrac{6^2-3^2}{2}=\dfrac{27}{2}[/tex]
Step-by-step explanation:
You can go to the trouble to integrate y = x from 3 to 6, or you can figure the area geometrically.
[tex]\displaystyle\int_3^6{x}\,dx=\left.\dfrac{x^2}{2}\right|_3^6=\dfrac{6^2-3^2}{2}\quad\text{using integration}\\\\A=\dfrac{1}{2}(b_1+b_2)h=\dfrac{1}{2}(6+3)(6-3)=\dfrac{6^2-3^2}{2}\quad\text{using geometry}[/tex]
Geometry please help. What is the perimeter of XYZ
Answer:
39
Step-by-step explanation:
Angle AQC, AQB and BQC are 120deg. (360/3=120). Therefore, Angle BZC, CXA and AYB are 60deg. Because, angle BZC is half of angle BQC. same for the other three angles. As, all 3 angles are 60deg, it is an equilateral triangle. So, YZ is 13 therefore as all 3 sides are equal its 13*3=39.
The solution is: 39 is the perimeter of XYZ.
What is an angle?In Plane Geometry, a figure which is formed by two rays or lines that shares a common endpoint is called an angle. The two rays are called the sides of an angle, and the common endpoint is called the vertex.
Here, we have,
Angle AQC, AQB and BQC are 120deg.
(360/3=120).
Therefore, Angle BZC, CXA and AYB are 60deg.
Because, angle BZC is half of angle BQC.
same for the other three angles.
As, all 3 angles are 60deg, it is an equilateral triangle.
So, YZ is 13
therefore as all 3 sides are equal
its 13*3=39.
Hence, 39 is the perimeter of XYZ.
To learn more on angle click:
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Evaluate 9 x 8 = (10 x 8) - ( blank x 8) =80 - blank = blank
Answer:
see below
Step-by-step explanation:
9 x 8 = (10 x 8) - ( blank x 8) =80 - blank = blank
We are replacing 9 with 10 minus something
9 = 10 -1
9 x 8 = (10 x 8) - ( 1 x 8)
80 - 8
72
Applying Angle Pair Relationships
Try it
Z
What is m 22? 75
y
What is mZ1?
1
4
13 16
A
2/3
14 15
5
75°
9 12
6
>
7
w
101 11
What is the measure of angle 1
Answer:
∠2 = 75° because of alternate interior angles. Since ∠1 and ∠2 form a linear pair, they are also supplementary which means that ∠1 = 180 - ∠2 = 180 - 75 = 105°.
The value of angles are,
⇒ ∠1 = 105°
⇒ ∠2 = 75°
What is mean by Angle?An angle is a combination of two rays (half-lines) with a common endpoint. The latter is known as the vertex of the angle and the rays as the sides, sometimes as the legs and sometimes the arms of the angle.
Now, We get;
∠2 = 75°
Because of alternate interior angles.
And, Since ∠1 and ∠2 form a linear pair,
Hence, they are also supplementary which means that;
⇒ ∠1 = 180 - ∠2
⇒ ∠1 = 180 - 75
⇒ ∠1 = 105°
Thus, The value of angles are,
⇒ ∠1 = 105°
⇒ ∠2 = 75°
Learn more about the angle visit:;
https://brainly.com/question/25716982
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Pediatricians prescribe 5ml of cough syrup for every 25lb of a child’s weight. How many milliliters of cough syrup will the doctor prescribe for Jocelyn, who weighs 45lb?
Answer:
x=9
Step-by-step explanation:
for this sort of a problem, I would set up a proportion
5/25=x/45
multiply both sides by 25 and 45
45*5=x*25
225=25x
x=9
KEVIN HAS TWO PART-TIME JOBS. HE DELIVERS PIZZA FOR PEDRO'S PIZZERIA
AND MAKES $8 AN HOUR, PLUS $20 FOR DRIVING EXPENSES EACH WEEK. HE
ALSO DOES ODD JOBS FOR A LOCAL HARDWARE STORE, WHERE HE IS PAID $10
AN HOUR.
A. WRITE A SYSTEM OF EQUATIONS TO DESCRIBE THE SCENARIO WHERE H
REPRESENTS THE NUMBER OF HOURS KEVIN WORKS, AND A
REPRESENTS THE AMOUNT HE EARNS AT EACH JOB IN A WEEK. B. HOW MANY HOURS MUST KEVIN WORK AT EACH JOB SO THAT HIS EARNINGS FROM BOTH SIDES ARE THE SAME? C. WHAT WOULD HIS INCOME FROM EACH JOB BE IN THAT CASE?
Answer:
A. A = 8h + 10
A = 10h
B. 5 hours
C. $50
Step-by-step explanation:
A. https://brainly.com/question/17036764
Pizza Place: A = 8h + 10
Hardware Store: A = 10h
Since you had made a separate question for part A, I answered that.
B. Kevin's earnings is represented by A. Because we want the earnings for each job to be equal, set the two equations equal to each other. Solve for h.
8h + 10 = 10h
10 = 2h
5 = h
Kevin has to work 5 hours.
C. Plug 5 into each equation.
A = 8h + 10
A = 8(5) + 10
A = 40 + 10
A = 50
A = 10h
A = 10(5)
A = 50
Kevin will make 50 from each job.
In a certain city, the monthly cost of residential electric service is given by the function C = 0.08n = 14, where n is the number of kilowatt hours (kWh) used 8 cents is the cost per kWh, and 14 is a fixed charge. Find the monthly bill if 600 kWh were used. $
Answer:
b and I will be there at work and I will be there at work and I will be there at work and I will
Step-by-step explanation:
you are not going to be able to make it to the meeting tonight but I can tomorrow if you have time
Which facts are true for the graph of the function below? Check all that apply.
F(x) = logo6x
A. It is decreasing.
B. The y-intercept is (0,6).
c. The domain is x>6.
D. The range is y> 0.
O E. The x-intercept is (1,0).
F. It is increasing.
Answer:
It is increasing and the x-intercept is (1,0) so F and E
Step-by-step explanation:
A P E X
The true statements are F and E
What is a log function?The logarithm is the inverse function to exponentiation. That means the logarithm of a number x to the base b is the exponent to which b must be raised, to produce x.
We need to graph the log function. F(x) = log6x
Domain: x>0 All real number greater than 0.
Range: All real number.
y-intercept: Put x=0 and solve for y. (Does not exist)
y-intercept: Put y=0 and solve for x. (1,0)
Log function is increasing function.
F is true. (It is increasing)
D is False. (Because Range is all real number)
E is true. (x-intercept (1,0))
A is false. (It is decreasing.)
B is false. (The y-intercept is (0, 6))
C is false. (Domain is x>0)
Hence, F and E are true.
Learn more about log functions, click;
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Two dice are rolled. Determine the probability of the following: rolling a 6 or doubles
Answer as an exact fraction = 5/18
Answer as an approximate decimal = 0.2778
Answer as an approximate percentage = 27.78%
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Explanation:
x = result of the first die
y = result of the second die
(x,y) paired together shows the results of both dice at the same time.
Something like (x,y) = (4,2) means we got 4 on the first die and 2 on the second die.
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Let's list the ways of rolling a 6
(1,5)(2,4)(3,3)(4,2)(5,1)There are 5 ways to roll a 6. Each pair listed has the property x+y = 6.
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List all the ways of getting doubles
(1,1)(2,2)(3,3)(4,4)(5,5)(6,6)There are 6 ways to roll doubles. Each pair mentioned has x = y.
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We have 5+6 = 11 items listed above. However, there are only 10 unique pairs though because (3,3) was listed twice. So we could say 5+6-1 = 11-1 = 10.
This is out of 6*6 = 36 different ways to roll the two dice. The probability is therefore 10/36 = 5/18.
Using a calculator, 5/18 = 0.2778 = 27.78%