Answer:
$1,738.91
Step-by-step explanation:
Future value = A(1+i)^n
A= $1,500
i = 3%
n - 5
Future value = $1,500*(1+0.03)^5
Future value = $1,500*(1.03)^5
Future value = $1,500*(1.03)^5
Future value = $1,500*1.1592740743
Future value = $1738.91111145
Future value = $1,738.91
$1,738.91 is the amount of money you will meet in the account when you need it for college in 5 years.
3x+7x−28+31−8x for x=2043
The simplified expression is-
The value is-
AND
123−2x−3x+7 for x=5
The simplified expression is-
The value is-
Answer:
see below
Step-by-step explanation:
3x + 7x − 28 + 31 − 8x
Simplified:
2x + 3
Value when x = 2043:
2x + 3
2(2043) + 3
4086 + 3
= 4089
123 − 2x − 3x + 7
Simplified:
-5x + 130
Value when x = 5:
-5x + 130
-5(5) + 130
-25 + 130
= 105
Question 1: A researcher wants to know about the average salary of all General Motors workers. The data can only be collected as whole US dollars. This data can be considered: * qualitative nominal qualitative ordinal quantitative discrete quantitative continuous Question 2: A researcher pla
Answer:
Quantitative Discrete
Step-by-step explanation:
The data about the average salary of all general motor workers cooled ONLY as WHOLE U. S DOLLARS
Firstly, data involving worker's salary are best expressed in figure, hence making such data numerical in nature. Numerical variables are quantitative data as it allows for numerical computation and analysis such as addition, subtraction, mean of the data values and so on.
Secondly, since these data has been strictly restricted to be expressed in whole numbers, this makes the range of the data collected finite and hence countable. This properties ensure that the quantitative data (average salary) is discrete in nature.
Show all your work. Indicate clearly the methods you use, because you will be scored on the correctness of your methods as well as on the accuracy and completeness of your results and explanations. The distribution of pH levels for all community swimming pools in a large county is approximately normal with mean 7.5 and standard deviation 0.2. According to swimming pool studies, the safest pH levels for water in swimming pools are between 7.2 and 7.8. (a) One community swimming pool in the county will be selected at random. What is the probability that the selected pool has a pH level that is not considered safe
Answer:
The value is [tex]P(A) = 0.133617[/tex]
Step-by-step explanation:
From the question we are told that
The mean is [tex]\mu = 7.5[/tex]
The standard deviation is [tex]\sigma = 0.2[/tex]
The safest water level is between 7.2 and 7.8
Generally the probability that the selected pool has a pH level that is not considered safe is mathematically represented as
[tex]P(A) = 1 - P(7.2 \le X \le 7.8 )[/tex]
Here
[tex]P(7.2 < X < 7.8 ) = P(\frac{ 7.2 - \mu }{\sigma } < \frac{X - \mu }{ \sigma } <\frac{ 7.8 - \mu }{\sigma } )[/tex]
Generally [tex]\frac{X - \mu }{ \sigma } = Z (The \ standardized \ value \ of X )[/tex]
So
[tex]P(7.2 < X < 7.8 ) = P(\frac{ 7.2 - 7.5 }{0.2 } < Z <\frac{ 7.8 - 7.5 }{0.2 } )[/tex]
[tex]P(7.2 < X < 7.8 ) = P(-1.5 < Z <1.5)[/tex]
=> [tex]P(7.2 < X < 7.8 ) = P(Z < 1.5) - P( Z < - 1.5) [/tex]
From the z-table the probability of (Z < -1.5) and ( Z <1.5) are
[tex]P(Z < 1.5) = 0.93319[/tex]
and
[tex]P(Z < -1.5) = 0.066807[/tex]
So
[tex]P(7.2 < X < 7.8 ) =0.93319 - 0.066807 [/tex]
[tex]P(7.2 < X < 7.8 ) =0.0866383[/tex]
So
[tex]P(A) = 1 - 0.0866383[/tex]
=> [tex]P(A) = 0.133617[/tex]
The probability that the selected pool has a pH level that is not considered safe pool is 0.1336
The given parameters are:
[tex]\mathbf{\mu = 7.5}[/tex]
[tex]\mathbf{\sigma = 0.2}[/tex]
Start by calculating the probability that a pool is safe.
This is represented as: P(7.2 < x < 7.8)
Calculate the z-scores for x =7.2 and 7.8 using:
[tex]\mathbf{z = \frac{x - \mu}{\sigma}}[/tex]
So, we have:
[tex]\mathbf{z = \frac{7.2 - 7.5}{0.2} = -1.5}[/tex]
[tex]\mathbf{z = \frac{7.8 - 7.5}{0.2} = 1.5}[/tex]
So, we have:
[tex]\mathbf{P(7.2 < x < 7.8) = P(-1.5 < z < 1.5)}[/tex]
This gives
[tex]\mathbf{P(7.2 < x < 7.8) = P(z < 1.5) - P(z < -1.5)}[/tex]
Using z table of probabilities, we have:
[tex]\mathbf{P(7.2 < x < 7.8) =0.9332 - 0.0668}[/tex]
[tex]\mathbf{P(7.2 < x < 7.8) =0.8664}[/tex]
The probability that the pool is not safe is calculated using the following complement formula
[tex]\mathbf{P(Not\ Safe) = 1 - P(Safe)}[/tex]
So, we have:
[tex]\mathbf{P(Not\ Safe) = 1 -0.8664}[/tex]
[tex]\mathbf{P(Not\ Safe) = 0.1336}[/tex]
Hence, the probability that the pool is not safe is 0.1336
Read more about probabilities at:
https://brainly.com/question/11234923
Tell whether the given number is a solution of each question. ( Must show work for credit)
1. 9 = 2a + 3; 3
2. 5n - (-30) = 5; 7
3. 4.4r - 2.8 = 1.6; 1
Answer/Step-by-step explanation:
1. [tex] 9 = 2a + 3 [/tex] ; 3
Let's solve for a.
[tex] 9 - 3 = 2a [/tex] (subtraction property of equality)
[tex] 6 = 2a [/tex]
[tex] \frac{6}{2} = a [/tex] (division property of equality)
[tex] 3 = a [/tex]
[tex] a = 3 [/tex]
Therefore, 3 is a solution to 9 = 2a + 3
2. [tex] 5n - (-30) = 5 [/tex] ; 7
[tex] 5n + 30 = 5 [/tex] (- × - = +)
[tex] 5n = 5 - 30 [/tex] (Subtraction property of equality)
[tex] 5n = -25 [/tex]
[tex] \frac{5n}{5} = \frac{-25}{5} [/tex] (division property of equality)
[tex] n = -5 [/tex]
Therefore, 7 is not a solution of [tex] 5n - (-30) = 5 [/tex]
3. [tex] 4.4r - 2.8 = 1.6 [/tex] ; 1
[tex] 4.4r = 1.6 + 2.8 [/tex]
[tex] 4.4r = 4.4 [/tex]
[tex] \frac{4.4r}{4.4} = \frac{4.4}{4.4} [/tex]
[tex] r = 1 [/tex]
Therefore, 1 is a solution of [tex] 4.4r - 2.8 = 1.6 [/tex].
!!!!!1ILL GIVE 25 POINTS AND BRAINLIEST JUST PLEASE B((((((((((((((!!!!!
It takes Daphne 25 minutes to assemble a model plane. During her work
minutes for lunch and one 15 minute break. Which inequality could Daphne use to determine the number
of model planes, p, she can assemble in her 8 hour work day?
A. 25p – 45 > 8
B. 25p + 45 2 8
C. 25p – 45 < 480
D. 25p + 45 < 480
Answer:
C
Step-by-step explanation:
Answer:
25p+45<480
Step-by-step explanation:
please hurry I need this fast
Ryan buys 5 tickets for the school play, Each ticket costs $8.
How much does Ryan spend in all?
Answer:
$40
Step-by-step explanation:
1=8
5x8=40
Answer:
40 shillings.
Step-by-step explanation:
If 1 ticket=8 shillings, what about 5 tickets?
8 shillings multiplied by 5 it will be 40 shillings.
The fence requires a post every 3 ft, and the fence is to be 30 feet long, how many posts are needed?
3)
The circumference of a circle is 14 cm. What is the radius of the circle?
Explain your reasoning.
Answer:
C = 2 * π * R = 2 * π * 14 = 87.9646 cm .
Step-by-step explanation:
HELP ASAP IT'S AN EMERGENCY
Answer:
SAS (side angle side)
Step-by-step explanation:
This rule states that if 2 sides are equal and the angle between the sides are also equal, then the 2 triangles must be congruent.
Therefore, the answer must be SAS (side angle side).
Answer:
Hello!!! Princess Sakura here ^^
Step-by-step explanation:
The answer is choice A. SAS
You can see that side QR is congruent to side XY and side RS is congruent to side WX, then angle R is congruent to angle X. So it's a SAS
Your teacher invented another game: You will pick one card from a deck of cards. If
you pick a heart, you will win $25.00. Otherwise, you will lose $5.00.
From the standpoint of the player, what is the expected value of this game?
Enter expected value
What does the expected value tell us about the game?
O The game is good to play, you will make money on average.
O The game is NOT good to play, you will tend to lose money.
O It doesn't matter if you play, you will generally break even.
Answer:
C
Step-by-step explanation:
quanto é (a+b) elevado a 3 --(b-c) elevado a 3???
Vamos escrever.
(a.b)³. b.(b.c)² =
a³.b³.b. b².c² =
a³b^6.c² ( forma simplificada)
Five different companies (G, J, S, O, U) compete each year to be the sole supplier of relays to a major automobile manufacturer. Supplier G J S O U probability .15 .04 .01 .55 .25 Given that suppliers O and U are both ultimately not chosen, what is the probability that supplier S will be chosen
Answer:
The probability is [tex]P(S | (O ,U)' ) = 0.05[/tex]
Step-by-step explanation:
From the question we are told that
The probability of each company to be chosen is
Supplier G J S O U
Probability 0.15 0.04 0.01 0.55 0.25
Generally the probability that company G , J , S are chosen is
[tex]P(G , J , S ) = 0.15 + 0.04 + 0.01[/tex]
=> [tex]P(G , J , S ) = 0.20[/tex]
Generally the probability that company O, U are chosen is
[tex]P(O, U ) = 0.55+ 0.25[/tex]
=> [tex]P(O, U ) = 0.80[/tex]
Generally the probability that supplier S will be chosen given that suppliers O and U are both ultimately not chosen is mathematically represented as
[tex]P(S | (O ,U)' ) = \frac{ P(S \ n \ (O , U)' )}{ P((O, U)')}[/tex]
[tex]P((O, U)' = 1 - P(O , U)[/tex]
[tex]P((O, U)' = 1 - 0.8[/tex]
[tex]P((O, U)' =0.2[/tex]
And
[tex]P(S \ n \ (O , U)' ) = P(S) = 0.01[/tex]
=> [tex]P(S | (O ,U)' ) = \frac{ 0.01 }{ 0.2}[/tex]
=> [tex]P(S | (O ,U)' ) = 0.05[/tex]
The eighth grade math teachers decided to
reward their students for working so hard
during the first semester of the school year. If
there are 175 eighth graders and the
teachers bought 715 cookies, how many
cookies will each student get?
I NEED ANSWER ASAP PLEASE HELP
Answer:
this would be your answer not sure if you need to round 4.085 so pretty much the answer would be 3 because you have enough for about 4 and a half
Step-by-step explanation:
Please answer ALL parts of the questions. is 3 divisble by 7
Answer:
no
Step-by-step explanation:
no
Answer:
no it is not
Step-by-step explanation:
the ratio of students who walked home from school to the students who ride the bus home is 2.7. The number of the bus riders is how many times the number of students who walk home?
Answer:
3.5
Step-by-step explanation:
If there are 9 students total and the ratio is 2:7 for walk home to ride bus then the answer would you would divide 2 from 7 which can be written as 7/2 then you would get your answer. Plus if the question says how many times the number... that means division:).
HOPE THIS HELPS!!:)
Las bacterias son seres vivos minúsculos que se reproducen dividiéndose por la mitad cada
cierto tiempo. Suponemos una bacteria que se divide cada minuto. En ese caso, después de
dos minutos tendríamos cuatro bacterias, a los tres minutos ocho bacterias y así
sucesivamente. Con ayuda de la escena contesta en tu cuaderno a las siguientes preguntas:
a.- ¿Cuántas bacterias habrá a las dos horas?
b.- Averigua cuánto tiempo hará falta para que haya 33.554. 432 bacterias.
Answer:
a) Entonces, habrá una población de [tex]1.329\times 10^{36}[/tex] bacterias a las dos horas.
b) La población de bacterias será de 33554432 en 25 minutos.
Step-by-step explanation:
a) De acuerdo con el enunciado, podemos apreciar una progresión geométrica, la cual está definida como:
[tex]n = n_{o}\cdot r^{t}[/tex] (Eq. 1)
Donde:
[tex]n_{o}[/tex] - Población inicial de bacterias, adimensional.
[tex]n[/tex] - Población actual de bacterias, adimensional.
[tex]r[/tex] - Tasa de reproducción de la población, adimensional.
[tex]t[/tex] - Tiempo, medido en minutos.
Si sabemos que [tex]n_{o} = 1[/tex], [tex]r = 2[/tex] and [tex]t = 120\,min[/tex], entonces la población actual de las bacterias:
[tex]n = 1\cdot 2^{120\,min}[/tex]
[tex]n = 1.329\times 10^{36}\,bacterias[/tex]
Entonces, habrá una población de [tex]1.329\times 10^{36}[/tex] bacterias a las dos horas.
b) Si empleamos (Eq. 1) y asumimos que [tex]n_{o} = 1[/tex], [tex]r = 2[/tex] and [tex]n = 33554432[/tex], entonces despejamos [tex]t[/tex] de la fórmula resultante:
[tex]1\cdot 2^{t} = 33554432[/tex]
[tex]2^{t} = 33554432[/tex]
[tex]\log_{2} 2^{t} = \log_{2} 33554432[/tex]
[tex]t = \log_{2} 33554432[/tex]
[tex]t = 25\,min[/tex]
La población de bacterias será de 33554432 en 25 minutos.
Fatima has a student loan the loan amount is 15,000 for 10 years her interest rate is 8.25% how much will Fatima pay in interest
Answer:
8212.67
Step-by-step explanation:
From the data given in the question;
Amount = 15000
Principal = ?
rate = 8.25%
time = 10 years
From;
A =P(1 + r)^n
15000 = P(1 + 0.0825)^10
P= 15000/2.21
P= 6787.33
but
Interest = Amount - Principal
Interest = 15000 - 6787.33
interest = 8212.67
find the first 3 powers of 7
Answer:
7, 49, 343
Step-by-step explanation:
Just do it
Melissa sells 12 pizzas for $166.14. How much is each pizza?
Answer:
$13.845 per pizza
Step-by-step explanation:
166.14/12=13.845
Answer:
$13.845 per pizza
Step-by-step-explanation:
166.14/12=13.845
I hope this helps
Rewrite 8^-12 isIng a positive exponent
Answer:
8^12??
Step-by-step explanation:
what is islng
Answer:
1/[tex]8^{12}[/tex]
Step-by-step explanation:
Express with a positive exponent using a [tex]^{-n}[/tex] = 1/[tex]a^{n}[/tex]
1/[tex]8^{12}[/tex]
Solution
1/[tex]8^{12}[/tex]
Alternate form
≈ 1.45519 x [tex]10^{-11}[/tex]
Please help!
A painter earns $15 per hour. What is the minimum number of hours he must work to earn at least $200? Write an inequality to represent this situation and solve. Show your work.
PLEASE HELP WILL GIVE BRAINLIEST AND 20 POINTS!
what is the rate of change of
0.860, 3.302
need help with asap!!!!!
Answer:
it is right triangle so we have trigonometric ratio: tan(54)=3/x and from that we have x=3/tan(54)
a certain bike travels 135 feet in 20 rotations of its wheels. how far will the bike travel in 45 rotations
Answer:
303.75
Step-by-step explanation:
135/20=6.75
6.75•45= 303.75
a circle's radius is 22. What is the circle's area. (you may round to the nearest tenth)
Answer:
1520.5 I believe the answer is
The weight of mr nazeer is 7 times that of his son. What's the ratio of their weights?
Answer:
7:1Step-by-step explanation:
Let the weight of mr nazeer be x
Let the weight of his son be y
If the weight of mr nazeer is 7 times that of his son, then x = 7y
To get the ratio of their weight:
Ratio = weight of father/weight of son
Ratio = 7y/y
Ratio = 7/1
Ratio = 7:1
Hence the ratio of their weights is 7:1
1. A frame is 9 in wide and 6 in tall. If it is reduced to a width of 3 in then how
tall will it be?
Answer:
18 units tall
Step-by-step explanation:
As the frame is 9x6, and the width divides by 3, the height should multiply by 3. In this case, 6x3=18, so the height is 18 units. Hope it helps!
h(x) = x + 1 k(x) = x - 2 (h + k)(2) =
[tex]h(x) = x + 1[/tex]
[tex]k(x) = x - 2[/tex]
_________________________________
[tex](h + k)(x) = h(x) + k(x)[/tex]
[tex](h + k)(x) = (x + 1) + (x - 2) \\ [/tex]
[tex](h + k)(x) = x + 1 + x - 2[/tex]
[tex](h + k)(x) = 2x - 1[/tex]
[tex](h + k)(2) = 2(2) - 1[/tex]
[tex](h + k)(2) = 4 - 1[/tex]
[tex](h + k)(2) = 3[/tex]
_________________________________
And we're done.....♥️♥️♥️♥️♥️
Answer:it’s 5
Step-by-step explanation:
because it is
7th grade math help me plzzzz
Answer:
a) -16
b)7
c) -4
d) 9
Step-by-step explanation:
by solving