Answer:
Step-by-step explanation:
Joseph : y = 25x + 15
Molly: y = 25x + 25
Joseph: y = 25(4)+ 15= 100+ 15= 115
Molly: y = 25(4)+ 25= 100+25= 125
Answer:
I hope this helps! <:
Step-by-step explanation:
The start is 15 and 25 so you keep on adding 25 to each of them, let's start with 15, 15+25=40 and 40 plus 25 is 65 and 65+25 is 90 the last one is 90+25= 115, now let's move on to 25. 25+25= 50 and the next one is 50+25=75 and then 75+25=100 and 100+25= 125.
Item 4 Find the perimeter of the window. Round your answer to the nearest tenth. 90 cm
Answer:
Step-by-step explanation:
item 4 Find the perimeter of the window. Round your answer to the nearest tenth. 90 cm
You did not state the diameter or radius of the window
so, i will use 90cm as the diameter of the window
First, I'd calculate the half circumference of the window.
The formula for circumference is [tex]c = 2\pi r[/tex],
Half of it would just be [tex]c/2 = r\pi[/tex]
Since our diameter is 90 cm, our radius is 45 cm.
Circumference =
[tex]=45\pi \\= 141.37 cm[/tex]
circumference is also the same with perimeter
so, the answer is 141.37cmto nearest tenth = 141.4cmAnswer:
141.4cm
Step-by-step explanation:
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please give barinlist
A jar of candy has 6 cinnamon, 5 peppermint and 7 spearmint candies in it. Your pick five pieces of candy out of the jar at the same time. What is the probability that three are cinnamon and two are peppermint?
Answer:
2.33% probability that three are cinnamon and two are peppermint
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
The order in which the candies are chosen is not important. So we use the combinations formula to solve this question.
Combinations formula:
[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
Desired outcomes:
3 cinnamon, from a set of 6.
2 peppermint, from a set of 5. So
[tex]D = C_{6,3}*C_{5,2} = \frac{6!}{3!(6-3)!}*\frac{5!}{2!(5-2)!} = 200[/tex]
Total outcomes:
5 candies, from a set of 6+5+7 = 18. So
[tex]T = C_{18,5} = \frac{18!}{5!(18-5)!} = 8568[/tex]
Probability:
[tex]p = \frac{D}{T} = \frac{200}{8568} = 0.0233[/tex]
2.33% probability that three are cinnamon and two are peppermint
Area of composite shapes
Find the area of the shape shown below.
Answer:
32 units
Step-by-step explanation:
The large triangle on top has an area of 20, cause 4*10 = 40
40/2 = 20.
the square on the bottom has an area of 4, well, cause 2*2 = 4.
The smaller triangle on the left has an area of 2, cause 2*2=4
4/2=2
The triangle on the right, has an area of 6, because 6*2=12
12/2=6
20+4+2+6 = 32
Answer:
32 Units =)
Step-by-step explanation:
what is the equation of the graph that represents the parent function f(x) = x4 stretched vertically by a factor of 2, and then shifted down 3 spaces
Answer:
f(x) = 2x^4 - 3
Step-by-step explanation:
First multiplying by 2 giving f(x) = 2x^4 stretches it vertically by factor 2.
Then subtract 3 to move it down 3 units:
f(x) = 2x^4 - 3.
Answer:
g(x)=2x^4-3
Step-by-step explanation:
The graph of f(x) is reflected across the x-axis. Write a function g(x) to describe the new graph. g(x)=
Answer: g(x) = -f(x)
Step-by-step explanation:
When we have a point (x, y) and we reflect it over the x-axis, the end result of the reflection is the point (x, -y)
In this case we have a function reflected, and we know that we can write a function as (x, f(x))
So when we reflect it, the result will be (x, g(x)) = (x, -f(x))
So we have g(x) = -f(x)
I don’t understand? Please help!
A triangle undergoes a sequence of transformations. First the triangle is dilated by a scale factor of 1/3 about the orgin. The the triangle is reflected over the x axis. Finally, the triangle is translated left 3 units and up 2 units. How does the image triangle compare to the preimage triangle
Answer:
Since there was a dilation, the two triangles will be similar. The scale factor is less than one and is a reduction, therefore, the image will be smaller than the pre-image.
divide a number line from 0 to 1 into 8 equal lengths. What should he label the first tick mark to the right of 0?
Answer:
1/8
Step-by-step explanation:
since it is divided to 8 equal parts then the first tick is 1/8
Find the future value of 575 at 5.5% compounded quarterly for 5 years. Round to the nearest cent
Answer:
Future value = $755.61 ( to the nearest cent)
Step-by-step explanation:
The formula for calculating the future value of an invested amount compounded periodically for a number of years is given as:
[tex]FV = PV (1+\frac{r}{n} )^{n*t}[/tex]
where:
FV = future value = ???
PV = present value = $575
r = interest rate in decimal = 5.5% = 0.055
n = number of compounding periods per year = quarterly = 4
t = time of investment = 5 years
∴ [tex]FV = 575 (1+\frac{0.055}{4} )^{4*5}[/tex]
[tex]FV = 575 (1+0.01375)^{20}\\FV = 575 (1.01375 )^{20}\\FV = 575 * 1.3141\\FV = 755.607[/tex]
∴ Future value = $755.61 ( to the nearest cent)
Can someone plz help me solved this problem I need help plz help me! Will mark you as brainiest!
Answer:
4
4
Step-by-step explanation:
x litres of 15% solution + y litres of 19% solution= 8 gallons of 17% solution
disinfectant content of the final solution= 8*0.17= 1.36 gallons
0.15x+0.19y=1.36
x+y= 8 ⇒ x=8-y
0.15*(8-y)+0,19y= 1.361.2-0.15y+0.19y=1.360.04y=0.16y= 0.16/0.04y=4 gallonsx= 8-4= 4 gallonsThe length of human pregnancies from conception to birth is normally distributed with mean 266 days and standard deviation 16 days. What is the proportion of the lengths of pregnancies that fall between 250 days and 282 days?
Please put the answer in the standard deviation percentages!
Answer:
68% of the lengths of pregnancies fall between 250 days and 282 days.
Step-by-step explanation:
The Empirical Rule states that, for a normally distributed random variable:
68% of the measures are within 1 standard deviation of the mean.
95% of the measures are within 2 standard deviation of the mean.
99.7% of the measures are within 3 standard deviations of the mean.
In this problem, we have that:
Mean = 266
Standard deviation = 16.
What is the proportion of the lengths of pregnancies that fall between 250 days and 282 days?
250 = 266 - 16
So 250 is one standard deviation below the mean.
282 = 266 + 16
So 282 is one standard deviation above the mean.
By the Empirical Rule, 68% of the lengths of pregnancies fall between 250 days and 282 days.
Answer:
[tex]P(250<X<282)=P(\frac{250-\mu}{\sigma}<\frac{X-\mu}{\sigma}<\frac{282-\mu}{\sigma})=P(\frac{250-266}{16}<Z<\frac{282-266}{16})=P(-1<z<1)[/tex]
And we can find this probability with this difference and using the normal standard table or excel:
[tex]P(-1<z<1)=P(z<1)-P(z<-1)= 0.8413-0.1587= 0.6826[/tex]
So then we will have approximatetly 68.26% of the values between 250 and 282 days
Step-by-step explanation:
Let X the random variable that represent the The length of human pregnancies from conception to birth, and for this case we know the distribution for X is given by:
[tex]X \sim N(266,16)[/tex]
Where [tex]\mu=266[/tex] and [tex]\sigma=16[/tex]
We are interested on this probability
[tex]P(250<X<282)[/tex]
And the best way to solve this problem is using the normal standard distribution and the z score given by:
[tex]z=\frac{x-\mu}{\sigma}[/tex]
If we apply this formula to our probability we got this:
[tex]P(250<X<282)=P(\frac{250-\mu}{\sigma}<\frac{X-\mu}{\sigma}<\frac{282-\mu}{\sigma})=P(\frac{250-266}{16}<Z<\frac{282-266}{16})=P(-1<z<1)[/tex]
And we can find this probability with this difference and using the normal standard table or excel:
[tex]P(-1<z<1)=P(z<1)-P(z<-1)= 0.8413-0.1587= 0.6826[/tex]
So then we will have approximatetly 68.26% of the values between 250 and 282 days
A researcher is investigating a government claim that the unemployment rate is less than 5%. To test this claim, a random sample of 1500 people is taken and its determined that 92 people are unemployed. The following is the setup for this hypothesis test:
H0:p=0.05 Ha:p<0.05
Required:
Find the test statistic for this hypothesis test for a proportion. Round your answer to 2 decimal places.
Answer:
[tex]\hat p=\frac{92}{1500}=0.0613[/tex] estimated proportion of unemployed
[tex]z=\frac{0.0613 -0.05}{\sqrt{\frac{0.05(1-0.05)}{1500}}}=2.01[/tex]
Step-by-step explanation:
Information given
n=1500 represent the random sample taken
X=92 represent the number of people unemployed
[tex]\hat p=\frac{92}{1500}=0.0613[/tex] estimated proportion of unemployed
[tex]p_o=0.05[/tex] is the value to value to test
z would represent the statistic
[tex]p_v[/tex] represent the p value
System of hypothesis
We want to test if the true proportion is lower than 0.05 or no and the system of hypothesis are::
Null hypothesis:[tex]p \geq 0.5[/tex]
Alternative hypothesis:[tex]p < 0.5[/tex]
The statistic is given by:
[tex]z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}}[/tex] (1)
Replacing the info given we got:
[tex]z=\frac{0.0613 -0.05}{\sqrt{\frac{0.05(1-0.05)}{1500}}}=2.01[/tex]
Thomas is in charge of selling roses for the Graduation dance. The roses sell for $3.50 each. He estimates that the expenses of the roses will be $30. Thomas wants to write an equation for the profit.
Answer:
P= $3.5x -$30
Step-by-step explanation:
Let the number of roses Thomas bought and sold be x.
Hence the total selling price would be;
$3.5 × x= $3.5x
The profit = selling price-expenses
P= $3.5x -$30
What’s the correct answer for this question?
Answer:
C.
Step-by-step explanation:
60° in Radians = 1.047
Using Formula
s=rθ
s= 7(1.047)
s ≈ 7.36
What is the dominan of the function f(x)= -6x+7
Answer:
(-∞,∞)
Step-by-step explanation:
It's just a line
Answer:
INFINITIE, INFINITIE
Step-by-step explanation:
Sam is rowing a boat away from a dock. The graph shows the relationship
between time and Sam's distance from the dock. Evaluate the function for an
input of 6.
Distance from Dock
130
100
90
90
20
CO
Distance (meters)
Times (minutes)
What is the volume of the cylinder below?
O A. 70K units
O B. 2257, units
O C. 1757 units
O D. 357 units
Answer:
V = V = 175 pi units^3
Step-by-step explanation:
The volume of a cylinder is given by
V = pi r^2 h
V =pi ( 5)^2 ( 7)
V = 175 pi units^3
Confidence Interval Concept Check 3 1 point possible (graded) In a new experiment consisting of 150 couples, 75 couples are observed to turn their heads to the left and the remaining 75 couples turned their heads to the right when kissing. Let p denote the (unknown) parameter which specifies the probability that a couple turns their head to the right.
Which of the following statements are correct regarding this experiment? You are given that exactly one but not both of choices 3 and 4 is correct. Also, assume that the given confidence intervals are an instance of a random interval computed upon observing the given data.
10,05] is a 50% asymptotic confidence interval for p. [0.5, 1] is a 50% asymptotic confidence interval for p. 10.466, 0.533 is a 50% asymptotic confidence interval for p. 10.48, 0.52 is a 50% asymptotic confidence interval for p. O
Answer:
Step-by-step explanation:
There are four options given above.
P specifies the probability that a couple turns their head to the right when kissing. P is 0.5 because the probability of turning right when kissing is 75÷150 = 1/2 = 0.5
Assuming that the given confidence intervals are an instance of a random interval computed upon observing the given data,
The correct statements are statements 1 and 4
greatest common factor of (12x^3-9x^2)+(8x-6)
Answer:
[tex](4x-3)(3x^2)+2)[/tex]
Step-by-step explanation:
Answer:
The greatest common factor for the first parenthesis is 3 and the greatest common factor for the second parenthesis is 2
Step-by-step explanation:
Hope this helps plz mark brainliest!
Find the sum of the geometric series 1 + 0.8 + 0.8^2 +0.8^3 + ... + 0.8^{19}
Answer:
S20 ≈ 4.942
Step-by-step explanation:
Sum of a geometric series is expressed as Sn = a(1-rⁿ)/1-r if r<1
a is the first term
r is the common ratio
n is the number of terms
Given the geometric series
1 + 0.8 + 0.8^2 +0.8^3 + ... + 0.8^{19}
Given a = 1,
r = 0.8/1 = 0.8²/0.8 = 0.8
n = 20 (The total number of terms in the series is 20)
Substituting this values in the formula above.
S20 = 1(1-0.8^20)/1-0.8
S20 = 1-0.01153/0.2
S20 = 0.9885/0.2
S20 ≈ 4.942
What assumptions do you need to make about the shape of the population distribution of all possible tax preparation times to make inferences about the mean time to complete a tax form?
Answer:69
Step-by-step explanation:
Because i am smart.
PLEASE HELP ME
Angles PTQ and STR are vertical angles and congruent.
Circle T is shown. Line segments T P, T Q, T R, and T S are radii. Lines are drawn to connect points P and Q and points S and R to create secants. Angles P T Q and R T S are congruent.
Which arcs are congruent?
Arc S P and Arc S R
Arc P Q and Arc S R
Arc P Q and Arc Q R
Arc S P and Arc P R
Answer:
PQ AND SR on ED
Step-by-step explanation:
Based on vertical angle theorem, arcs that are congruent is option (B) arc P Q and arc S R is the correct answer.
What is vertical angle theorem?The vertical angles theorem is a theorem that states that when two lines intersect and form vertically opposite angles, each pair of vertical angles has the same angle measures. A pair of vertically opposite angles are always equal to each other.
For the given situation,
Angles PTQ and STR are vertical angles and congruent.
Line segments T P, T Q, T R, and T S are radii.
So, T P = T Q = T R = T S.
The two sides T P = T Q and T R = T S and [tex]\angle PTQ = \angle RTS[/tex],
then by SAS similarity theorem two triangles,
Δ PTQ ≅ Δ STR.
When two triangles are congruent, then the corresponding arc are also congruent.
The congruent central angles intercept congruent arcs PQ and SR.
Hence we can conclude that based on vertical angle theorem, arcs that are congruent is option (B) arc P Q and arc S R is the correct answer.
Learn more about vertical angle theorem here
https://brainly.com/question/17702030
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Which of the following pairs of lines are perpendicular? How do you know?
The sum of three consecutive even integers is 186. Find the Integers.
Answer:
60, 62, 64
Step-by-step explanation:
Let x, (x + 2) & (x+ 4) be three consecutive even integers.
[tex] \therefore \: x + (x + 2) + (x + 4) = 186 \\ \therefore \:3x + 6 = 186 \\ \therefore \:3x = 186 - 6 \\ \therefore \:3x = 180 \\ \therefore \:x = \frac{180}{3} \\ \therefore \:x = 60 \\ \implies \\ x + 2 = 60 + 2 = 62 \\ x + 4 = 60 + 4 = 64[/tex]
Hence, the three consecutive even integers are 60, 62 and 64.
Solve the equation: 7(8 - 5z) + 17 = 3
Answer:
z=2
Step-by-step explanation:
56-35z+17=3
73-35z=3
-35z=-70
z=2
Sue invests £9000 in an account for one year.
At the end of the year, interest is added to the account.
Sue pays tax on this interest at a rate of 20%.
She pays £30.24 tax.
Work out the percentage interest rate for the account.
Answer:
The interest rate = 1.68%
Step-by-step explanation:
Sue invests £9000 in an account for one year.
She pays £30.24 at a rate of 20%
So 20% of the interest =£ 30.24
Let the interest be x
X0.2= 30.24
X=£ 151.2
The total interest was£ 151.2
The rate R at which generated this interest
R = (100*151.2)/(1*9000)
R= 15120/9000
R= 1.68%
The interest rate = 1.68%
Which of the following source documents is used to summarize all of the costs incurred for a specific job?
Answer:
job cost sheet.
Step-by-step explanation:
When planning or working on a specific project/job all the actual costs that are incurred for that job are written down in the job cost sheet. This report is an entire compilation that should be created by the accounting department and then distributed to all the members of the management department who then analyze it and determine whether the job was correctly bided. This sheet gets updated as the job is undergoing and fully completed when the job is closed.
Gasoline is that distillation fraction that has a boiling point range of
Answer:
Gasoline is a petroleum-derived product comprising a mixture of liquid aliphatic and aromatic hydrocarbons, ranging between C4 and C12 carbon atoms with the boiling range of 30–225°C. It is predominantly a mixture of paraffins, naphthenes, aromatics and olefins. hope that helps love!
Answer:
Answer is below
Step-by-step explanation:
Gasoline has an initial boiling point at about 35 °C or 95 °F and a final boiling point of about 200 °C or 395 °F.
Jar A contains four liters of a solution that is 45% acid. Jar B contains five liters of a solution that is 48% acid. Jar C contains one liter of a solution that is k % acid. From jar C, 2/3 liters of the solution is added to jar A, and the remainder of the solution in jar C is added to jar B. At the end both jar A and jar B contain solutions that are 50% acid. Find k.
Answer:
k= 80%
Step-by-step explanation:
Jar A contains 4*0.45 L acid, and 4 L of a solution of acid.
Jar B contains 5*0.48 L acid., and 5 L of a solution of acid.
Jar C contains 1*k/100 = k/100 acid, and 1 L of a solution.
50% = 0.5
For jar A.
(2/3)*k/100 L acid is added to jar A.
Now jar A contains 4*0.45 L + (2/3)*k/100 L acid, and it has (4+2/3)L of a solution.
L solute/L solution = 0.5
[4*0.45 L + (2/3)*k/100 L]/(4+2/3)L = 0.5
[1.8 + (2k/300)]/[(12+2)/3] = 0.5
[1.8 + (2k/300)]/[14/3] = 0.5
[1.8 + (2k/300)]= 0.5*(14/3)
(2k/300) = 0.5*(14/3) - 1.8
2k = (0.5*(14/3) - 1.8)*300
k = (0.5*(14/3) - 1.8)*300/2 =80
k= 80%
We also can find k using jar B.
(1/3)k/100 L acid is added to jar B.
Now jar B contains 5*0.48 L+ (1/3)k/100 L acid, and it has (5+1/3) L of a solution.
L solute/L solution = 0.5
[5*0.48 L+ (1/3)k/100 L ]/(5+1/3)L= 0.5
[5*0.48 + (1/3)k/100 ]/(5+1/3)= 0.5
This equation also gives k=80%
Check.
We can check at least for jar A.
Jar A has 4L solution and 4*0.45=1.8 L acid.
2/3 L of the solution from jar C was added, and now we have 4 2/3 L of solution.
(2/3)* 80%= (2/3)*0.8 acid was added from jar C.
Now we have [1.8 +(2/3)*0.8] L acid in jar A.
L solute/L solution = [1.8 +(2/3)*0.8] L /(4 2/3) L = 0.5 or 50% as it is given that jar A has 50% at the end.
PLEASE ANSWER ASAP (exponential and logarithms)
Answer:
1.4650 (the first option in the list of possible answers)
Step-by-step explanation:
Start by isolating the exponential expression on one side of the equal sign, thus subtracting 2 from both sides:
[tex]2+3^x=7\\3^x=7-2\\3^x=5[/tex]
Now, in order to solve for "x", we need to lower the exponent, and for that purpose we use logarithm base "3":
[tex]3^x=5\\x=log_3(5)[/tex]
In order to find this logarithm, we use the change of base formula:
[tex]log_3(5)=\frac{log(5)}{log(3)} =1.46497...[/tex]
which rounded to four decimals gives: 1.4650