Answer:
[tex]\boxed{\sf{view \: explanation}}[/tex]
Step-by-step explanation:
To convert percentages into a fraction, divide the value by 100.
[tex]\displaystyle 800\% =\frac{800}{100} =8[/tex]
[tex]\displaystyle 375\% = \frac{375}{100} =\frac{15}{4} =3\frac{3}{4}[/tex]
[tex]\displaystyle 240\% = \frac{240}{100} =\frac{12}{5} =2\frac{2}{5}[/tex]
Answer:
see below
Step-by-step explanation:
To change a percent to a fraction, divide by 100 and simplify
800% = 800/100
Dividing by 100
= 8/1
=8
375% = 375/100
Dividing by 25
=15/4
Changing to a mixed number
4 goes into 14 3 times with 3 left over
3 3/4
240% = 240/100
Dividing by 20
=12/5
Changing to a mixed number
5 goes into 12 2 times with 2 left over
= 2 2/5
Consider the function represented by 9x + 3y = 12 with x as the independent variable. How can this function be
written using function notation?
O FID = - Šv
O f(x) = - 3x + 4
Of(x) = -x +
O fly) = -34+4
Answer:
f(x) = - 3x + 4
Step-by-step explanation:
Note that y = f(x)
Rearrange making y the subject
9x + 3y = 12 ( subtract 9x from both sides )
3y = - 9x + 12 ( divide all terms by 3 )
y = - 3x + 4 , that is
f(x) = - 3x + 4
Solve the equation
(If possible please show work)
Answer:
Step-by-step explanation:
-8 + 8a = -12 + 4a
4a - 8 = -12
4a = -4
a = -1
Answer:
a = -1
Step-by-step explanation:
[tex]4(-2+2a) = -12 +4a\\-8+8a=-12+4a\\8a = -4 +4a\\4a=-4\\\frac{4a}{4} =\frac{-4}{4} \\a=-1[/tex]
I hope that makes since... I tried to show my work the best I could.
Company a samples 16 workers, and their average time with the company is 5.2 years with a standard deviation of 1.1. Company b samples 21 workers and their average time with the company is 4.6 years with a standard deviation 4.6 years
Company a samples 16 workers, and their average time with the company is 5.2 years with a standard deviation of 1.1. Company b samples 21 workers and their average time with the company is 4.6 years with a standard deviation 4.6 years
The populations are normally distributed. Determine the:
Hypothesis in symbolic form?
Determine the value of the test statistic?
Find the critical value or value?
determine if you should reject null hypothesis or fail to reject?
write a conclusion addressing the original claim?
Answer:
Step-by-step explanation:
GIven that :
Company A
Sample size n₁ = 16 workers
Mean [tex]\mu[/tex]₁ = 5.2
Standard deviation [tex]\sigma[/tex]₁ = 1.1
Company B
Sample size n₂ = 21 workers
Mean [tex]\mu[/tex]₂ = 4.6
Standard deviation [tex]\mu[/tex]₂ = 4.6
The null hypothesis and the alternative hypothesis can be computed as follows:
[tex]H_o : \mu _1 = \mu_2[/tex]
[tex]H_1 : \mu _1 > \mu_2[/tex]
The value of the test statistics can be determined by using the formula:
[tex]t = \dfrac{\overline {x_1}- \overline {x_2}}{\sqrt{\sigma p^2( \dfrac{1}{n_1}+\dfrac{1}{n_2})}}[/tex]
where;
[tex]\sigma p^2= \dfrac{(n_1 -1) \sigma_1^2+ (n_2-1)\sigma_2^2}{n_1+n_2-2}[/tex]
[tex]\sigma p^2= \dfrac{(16 -1) (1.1)^2+ (21-1)4.6^2}{16+21-2}[/tex]
[tex]\sigma p^2= \dfrac{(15) (1.21)+ (20)21.16}{35}[/tex]
[tex]\sigma p^2= \dfrac{18.15+ 423.2}{35}[/tex]
[tex]\sigma p^2= \dfrac{441.35}{35}[/tex]
[tex]\sigma p^2= 12.61[/tex]
Recall:
[tex]t = \dfrac{\overline {x_1}- \overline {x_2}}{\sqrt{\sigma p^2( \dfrac{1}{n_1}+\dfrac{1}{n_2})}}[/tex]
[tex]t = \dfrac{5.2- 4.6}{\sqrt{12.61( \dfrac{1}{16}+\dfrac{1}{21})}}[/tex]
[tex]t = \dfrac{0.6}{\sqrt{12.61( \dfrac{37}{336})}}[/tex]
[tex]t = \dfrac{0.6}{\sqrt{12.61(0.110119)}}[/tex]
[tex]t = \dfrac{0.6}{\sqrt{1.38860059}}[/tex]
[tex]t = \dfrac{0.6}{1.178388981}[/tex]
t = 0.50917
degree of freedom df = ( n₁ + n₂ - 2 )
degree of freedom df = (16 + 21 - 2)
degree of freedom df = 35
Using Level of significance ∝ = 0.05, From t-calculator , given that t = 0.50917 and degree of freedom df = 35
p - value = 0.3069
The critical value [tex]t_{\alpha ,d.f}[/tex] = [tex]t_{0.05 , 35}[/tex] = 1.6895
Decision Rule: Reject the null hypothesis if the test statistics is greater than the critical value.
Conclusion: We do not reject the null hypothesis because, the test statistics is lesser than the critical value, therefore we conclude that there is no sufficient information that the claim that company a retains it workers longer than more than company b.
29. A painter leans a ladder against the side of a
house that is 3 feet from the base. If the top
of the ladder reaches 16 feet, how long is the
ladder ?
HELP! answer if you can!
Answer:
16.2788 feet
Step-by-step explanation:
a²+b²=c²
3²+16²=c²
9+256=c²
265=c²
c=√265
c=16.2788 feet
If the ladder is 3 feet from the base of the house and the top is 16 feet from the base then the length of ladder is approximately 16.2788 feet long.
What is pythagoras theorem?Pythagoras theorem says that in a right angled triangle the square of hypotenuse of triangle is equal to the sum of squares of base and perpendicular of that respective triangle.
[tex]H^{2} =P^{2} +B^{2}[/tex] where H is hypotenuse, P is perpendicular, B is base of triangle.
How to find length of ladder?If a painter leans a ladder against a wall then it forms a right angled triangle so in this we will apply pythagoras theorem to find the length of ladder.
let the length of ladder be h so,
[tex]h^{2} =3^{2} +16^{2}[/tex]
[tex]h^{2} =9+256[/tex]
[tex]h^{2} =265[/tex]
h=[tex]\sqrt{265}[/tex]
h=16.2788 feet.
Hence the length of ladder is 16.2788 feet.
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Can you help Jorge organize the results into a two-way frequency table?
Answer:
See Explanation
Step-by-step explanation:
Given
Students = 24
Musical Instrument and Sport = 6
Neither = 3
Sport = 14
Required
Complete the two-way frequency table
-------------------------------------------------------- Plays sport || Does not play sport
Plays a musical instrument ---------------------6--------------------------------------
Does not play a musical instrument -------------------------------------3-----------
Total ---------------------------------------------------- 14 ---------------------------------------
To solve this, we'll make use of the following naming rules
A represent students that plays musical instrument; A = 6
B represent students that do not play musical instrument
C represent students that plays sport
D represent students that do not play sport; D = 3
Considering the first column [Plays a sport] and taking note of the naming rules;
[tex]A + B = 14[/tex]
Substitute 6 for A
[tex]6 + B = 14[/tex]
Solve for B
[tex]B = 14 - 6[/tex]
[tex]B = 8[/tex]
Also, given that there are 24 students in the class and 14 of them play sport; this implies that 10 do not play sport
Considering the second column [Does not play a sport]
[tex]C + D = 10[/tex]
Substitute 3 for D
[tex]C + 3 = 10[/tex]
Solve for C
[tex]C = 10 - 3[/tex]
[tex]C = 7[/tex]
Hence, the complete table is:
-------------------------------------------------------- Plays sport || Does not play sport
Plays a musical instrument ---------------------6--------------------------7----------
Does not play a musical instrument ---------8--------------------------3---------
Total ---------------------------------------------------- 14 -----------------------10---------
Which equation has a constant of proportionality equal to 3? A. y= 8/5 x B. y= 1/3 x C. y= 1/4 x D. y= 18/6 x PLEASE HELP ME :c
Answer:
(D) [tex]y=\frac{18}{6}x[/tex]
Step-by-step explanation:
We will be able to know if an equation has a constant of proportionality of 3 if the constant which is being multiplied by x is equal to 3.
[tex]\frac{8}{5} =1.6[/tex] so no for A.
[tex]\frac{1}{3} = 0.\overline{33}[/tex] so no for B too.
[tex]\frac{1}{4} = 0.25[/tex] so no for C as well.
[tex]\frac{18}{6} = 3[/tex], so D works.
Hope this helped!
Suppose the population of a country is 100 people: 40 work full-time, 20 work half-time but would prefer to work full-time, 10 are looking for a job, 10 would like to work but are so discouraged they have given up looking, 10 are not interested in working because they are full-time students, and 10 are retired. What is the number of unemployed
Answer:
10
Step-by-step explanation:
Those people who are actively seeking for a job are counted as unemployed. Underemployment is not considered as unemployment. Those who have given up looking for jobs are also not considered as unemployed as well. Hence there are 10 unemployed people.
Complete the square to solve 4x2 + 24x = 4.
Answer:
x = - 3 ± [tex]\sqrt{10}[/tex]
Step-by-step explanation:
Given
4x² + 24x = 4 ( divide through by 4 )
x² + 6x = 1
To complete the square
add ( half the coefficient of the x- term )² to both sides
x² + 2(3)x + 9 = 1 + 9
(x + 3)² = 10 ( take the square root of both sides )
x + 3 = ± [tex]\sqrt{10}[/tex] ( subtract 3 from both sides )
x = - 3 ± [tex]\sqrt{10}[/tex]
Answer:
X=1/8
Step-by-step explanation:
Calculate the product 4x×2 + 24x = 4
Collect like terms 8x + 24x = 4
Divide both sides of the equation by "32" 32x = 4
Solution x = 1/8
Solve for x: -2x - 4 > 8
x<-6
X > -6
x<-2
x>-2
Answer:
x < -6
Step-by-step explanation:
-2x - 4 > 8
-2x > 12
x < -6, you have to flip the inequality when you multiply or divide by a negative
Answer:
a
Step-by-step explanation:
Find value of k
from below eqn
[tex] {2x}^{2} + 7xy + 3y {}^{2} - 5x - 5y + k = 0[/tex]
Answer:
k=10BY DPING PROCESS IT BECOME
what is x? x=? y= -2 y+2=-3(x-4)
[tex]-2+2=-3(x-4)\\0=-3x+12\\3x=12\\x=4[/tex]
Carly has averaged four goals per game for the first eight games of the indoor soccer season (which runs for 10 games)
She wants to finish the season with an average of 5 goals per game.
How many goals does she need to score in total in the last two games to achieve this?
Answer:
9
Step-by-step explanation:
i did 8x4 which is 32
and knowing how to do averages i knew the total of the numbers was going to be divided by the amount of numbers, so i knew that it had to add up to 50 because 50/10 is 5.
so i knew i needed 18 more points, 18/2 = 9 so
4(8) + 9(2) = 32 + 18 = 50
A mural inspired by a photograph measures 108 inches by 180 inches. The scale of the photograph to the mural is 1.:12 in. What are the dimensions of the photograph
Answer:
108 inches and 2160 inches
Step-by-step explanation:
108 inches = 274.32 cm
180 inches = 457.2 cm
The area of the mural, A1 = 274.32 X 457.2 = 125419.1 cm²
Let the area of the photograph = A2
The scale A1 to A2,
1/12 = A1/A2
1/12 = 125419.1/A2
∴ A2 = 12 X 125419.1 = 1505029.2 cm²
For their lenghs
1/12 = L1/L2
1/12 = 457.2/L2
L2 = 12 X 457.2 = 5486.4 cm (or 2160 inches)
The width of the photograph
1505029.2/5486.4 = 274.3 cm ( 108 inches)
This table represents a quadratic function.
y
x
0
14
1
10.5
2
8
3
6.5
4
5
6.5
What is the value of a in the function's equation?
A.2
B.1/2
C.-1/2
D.1
Answer:
B. 1/2
Step-by-step explanation:
y = ax^2 + bx + c
14 = a(0)^2 + b(0) + c
c = 14
10.5 = a(1)^2 + b(1) + 14
10.5 = a + b + 14 ____(i)
8 = a(2)^2 + b(2) + 14
8 = 4a + 2b + 14
4 = 2a + b + 7 ___ (ii)
i - ii
10.5 - 4 = -a + 7
6.5 = -a + 7
a = 7- 6.5
a = 0.5
Value of a in the quadratic function is 0.5
What is Quadratic function?In algebra, a quadratic function, a quadratic polynomial, a polynomial of degree 2, or simply a quadratic, is a polynomial function with one or more variables in which the highest-degree term is of the second degree
Given,
Quadratic function
y = [tex]ax^{2}+bx+c[/tex]
Consider values in the table x= 0 and y =14
[tex]14=a(0)^{2}+b(0)+c\\ c=14[/tex]
Consider x=1 and y = 10.5
[tex]10.5=a(1^{2})+b(1)+c\\ a+b=10.5-14\\a+b=-3.5[/tex]
Consider x=2 and y =8
[tex]8=a(2^{2})+b(2)+c\\ a\\8=4a+2b+14\\4a+2b=-6\\2a+b=-3[/tex]
Subtract a + b= -3.5 from 2a + b= -3
a=-3--3.5=0.5
Hence, the Value of a in the quadratic function is 0.5
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IM STUMPED I USUALLY LOVE THESE PROBLEMS :( The least common multiple of x, 10 and 14 is 70. What is the greatest possible value of x?
Answer:
[tex]x=70[/tex]
Step-by-step explanation:
If we know that the LCM of 10, 14 and x will be 70, that means x has to be a factor of 70.
First, let's find the multiples of 10 and 14 until they equal 70.
[tex]10: 10,20,30,40,50,60,70[/tex]
[tex]14:14,28,42,56,70[/tex]
Since we're asking for the greatest value of x, that means that x has to be smaller or equal to than 70 but still large enough to be the greatest.
Hey, isn't 70 a factor of 70? The remainder gets to 1 which is a whole number, so 70 is a multiple of 70.
So, [tex]x = 70[/tex].
Hope this helped!
Answer:
x = 35
Step-by-step explanation:
70 factored is 2 x 5 x 7
x = 35
please help me on this
Answer:
if an angle measures more than 90 degrees, then the angle is obtuse
Find x
A. 33
B. 44√3
C. 33√2
D. 11√3
Answer:
d
Step-by-step explanation:answer is d on edg
Lori works as a cartoonist for a teen magazine. The time she spends sketching is given by the equation m = 12s, where m is the number of minutes and s is the number of sketches.
If Lori made of a sketch, she spent minutes sketching.
Answer:
A. 9
Step-by-step explanation:
Lori works as a cartoonist for a teen magazine. The time she spends sketching is given by the equation m=12s where m is the number of minutes and s is the number of sketches if Lori made 3/4 of a sketch she spent A.9 B.12 C.16 D.20 minutes sketching
Solution
m= number of minutes
s= number of sketches
Equation is
m=12s
If Lori made 3/4 of the sketch, then the time spent is ?
s=3/4
m=?
m=12s
m= 12 × 3/4
=36/4
=9
m=9
If Lori made 3/4 of the sketch, then she spent 9 minutes sketching.
Answer:
I hope this helps
Step-by-step explanation:
One stool rocks slightly from side to side on your kitchen floor. Which of the two stools could this possibly be? Explain your answer Choices: 3 legged stool, 4 legged stool
Answer:
The four legged stool is the one that rocks slightly from side to side. The three legged stool does not.
Step-by-step explanation:
The four legged stool is the one that rocks slightly because the three legs determine a plane, and the three legs are stuck on that single plane.
The distance of planet Mercury from the Sun is approximately 5.8. 107 kilometers, and the distance of planet Venus from the Sun is 1.1. 10 kilometers. About how many more kilometers is the
distance of Venus from the Sun than the distance of Mercury from the Sun?
Answer:
I would say about 5 times but I am not sure so if it is wrong am sorry.
Look at the picture and answer the question
Answer:
b
Step-by-step explanation:
Answer:
80 degrees
Step-by-step explanation:
m∠4 is the same as m∠2
I measured it with a protracter
( plz mark me as brainliest, that would be most appreciated! )
A machine fills 680 bottles in 5hours how many bottles will it fill in three hours?
Answer:
408 bottles
Step-by-step explanation:
the machine can fill 136 bottles in 1 hour, 136×3=408
Answer:
408
Step-by-step explanation:
680 bottles in 5 hours
in three hours:
1 hour =680/5=136
in three hours:it will be 136*3=408
HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
x<10
Step-by-step explanation:
On the number line it shows that the dot is at 10. Since the dot is not colored in, we know it's not greater/less than or equal to. Greater/less than or equal to is where it shows the symbol, but it's underlined, like this: ≤. Only when the dot is colored in, is there a possibility it is greater/less than or equal to. So it can be greater than or less than something. Since it starts at 10 and is decreasing, it is going to be less than.
X will be less than something. And because the dot is at 10, it means 10 was the start. X is less than 10 since the arrow is pointing to where the numbers are decreasing. So, x<10.
The price of tiling a room varies directly as the size of the room. Sam is laying tile in his kitchen. If the tiling costs $4,224.00 for 264 square feet, what is the size of a kitchen that costs $3,824.00? A. 239 square feet B. 256 square feet C. 7,648 square feet D. 63,096 square feet
Answer:
The answer is option AStep-by-step explanation:
Let the price of the room be p
Let the size of the room be s
To find the size of a kitchen that costs $3,824.00 we must first find the relationship between them
The statement
The price of tiling a room varies directly as the size of the room is written as
p = kswhere k is the constant of proportionality
when
p = $4,224.00
s = 264 square feet
Substitute the values into the expression to find k
That's
4224 = 264k
Divide both sides by 264
k = 16
So the formula for the variation is
p = 16swhen
p = 3824
[tex]s = \frac{p}{16} [/tex]
[tex]s = \frac{3824}{16} [/tex]
s = 239
The final answer is
239 square feet
Hope this helps you
NEED ANSWER ASAP!! PLEASE!!! The length of a rectangle is 1 foot more than twice the width. Write an expression that represents the length.
Answer:
The expressión that represents the length:
a = 2w + 1
a = length of the rectangle
w = width of the rectangle
SIMPLIFY.
6y^3(3 + 4y^2)
Answer:
18y^3 + 24y^5.
Step-by-step explanation:
6y^3(3 + 4y^2)
= 6*3 y^3 + 6*4 y^(3+2)
= 18y^3 + 24y^5.
What is the value of (-7 + 3i) - (2 - 6i)?
-5 + 91
-5 -3i
-9-31
-9 + 91
Greetings from Brasil...
Real part with real part, complex part with complex part...
(-7 + 3i) - (2 - 6i)
(-7 + 3i) - (2 - 6i) = ((-7 - (+ 2)) + (3i - (- 6i))) = - 5
((-7 - 2) + (3i + 6i))
- 9 + 9iWill give 5 stars, 10 points and maybe brainiest
Answer:
5.25
Step-by-step explanation:
"The median is the middle number in a sorted, ascending or descending, list of numbers and can be more descriptive of that data set than the average"
in that case
1.6, 3.2, 3.6, 4.6 , 4.7 , 5.2 , 5.3, 5.4 , 6.1 , 7.8 , 9.0 , 9.5 ,
1st 2nd 3rd 4th 5th 6th 7th . 8th . 9th 10th 11th 12th
as you can seem 5.2 and 5.3 are both in the middle. that means you take the average of those two numbers. so 5.25
Answer:
The median is 5.25
Step-by-step explanation:
Median is found in the middle of numbers.
First you arrange the number from descending to ascending order:
1.6, 3.2, 3.6, 4.6, 4.7, 5.2, 5.3, 5.4, 6.1, 7.8, 9.0, 9.5
There are 12 numbers.
Then find the number that is in the center. In this case, 5.2 and 5.3 are the numbers in the center. You add them together and divide them by 2:
5.2+5.3 = 10.5/2 = 5.25
The median is 5.25
answer it answer it answer it.
Answer:
C. p = 3/q
Step-by-step explanation:
An inverse proportion has the form:
y = k/x
Your problem uses p and q, so you need the form
p = k/q
Answer: C. p = 3/q
Anna is planting in her garden the package says she needs to use 4 punds od fertilizer for 120 sqft the area of annas yard is 180 how much fertilizer is needed for the 180 sqft garden
Answer:
6 pounds
Step-by-step explanation:
The area of Anna's garden = 180 square feet
From the question, we know that:
120 square ft = 4 pounds of fertilizer
180 square ft = y
Cross Multiply
120 × y = 4 × 180
y = 4 × 180/120
y = 720/120
y = 6 pounds
Therefore, the amount of fertilizer that is needed for Anna's 180 square feet garden is 6 pounds.