Olivia walks up to a tank of water that can hold up to 50 gallons. When it is active, a drain empties water form the tank at a constant rate. When Olivia first sees the tank, it contains 38 gallons of water. Four minutes later, the tank contains 18 gallons of water.
a.) At what rate is the amount of water in the tank changing? Use a signed number and include the unit of measurement in your answer.
b.) How many more minutes will it take for the tank to drain completely?
c.) How many minutes before Olivia arrived was the water tank completely full?
Answer:
C
Step-by-step explanation:
I got the answer C because if the estimated value of the tank is 50 and it gets drained it will only have 18 gallon in it
5%
3.36m inutos
2.24mi nutos
What is the value of x?
Select all of the expressions that have the same value as 892 ÷ 8
8920÷80
894÷10
89.2÷0.08
8.92÷0.8
0.892÷0.008
Answer:
8920÷80 and 0.892÷0.008
Step-by-step explanation:
To get the expressions that have the same value as 892 ÷ 8, we can either divide or multiply both values by the same constant.
Multiplying both values by 10
892 ÷ 8
= 892/8
= 892/8 * 10/10
= 8920/80
Divide both by 10
892÷8
= (892÷10)÷(8÷10)
= 89.2÷0.8
Divide both by 1000
892÷8
= (892÷1000)÷(8÷1000)
= 0.892÷0.008
Hence the expressions that are similar are 8920÷80 and 0.892÷0.008
George walks to a friend's house.
Answer:
George is a good friend :)
Step-by-step explanation:
A delivery truck is transporting boxes of two sizes: large and small. The combined weight of the large box and a small box is 70 pounds. The truck is transporting 55 large boxes and 65 small boxes. if the truck is carrying a total of 4150 pounds in boxes, how much does each type of box weight.
large box :
smaller box:
Answer:
3.45
Step-by-step explanation:
you have to do tihis then that
what is -11/40 - 0.278 in decimal form
(pls this is due tmr)
Answer:
-0.553
Step-by-step explanation:
First we convert the fraction into a decimal: -11/40 = -0.275
Then, add both numbers because when you subtract a negative from a positive, you are basicaly adding the numbers.
-0.275- 0. 278= -0.553
Have a great day!
Need help ASAP !!!!
Solve for angle A
It costs $11.25 for 3 Italian ices at Rita's. How much would 12 Italian ices cost?
$3.75
$3.20
$33.75
$45
Answer:
$45
Step-by-step explanation:
11.25/3= 3.75 x 12 = 45
16.1 + d = 22; d = 6.1
Answer:
16.1 + 6.1=22
that is not equal because it will give you 22.2
as the answer hope this helps
have a good day :)
Step-by-step explanation:
2(a -3) + 4b - 2(a -b -3) + 5
simplify
Answer:
Simplify the expression.
6 b + 5
Step-by-step explanation:
I hope this helps! Have a great day!
Answer:
6b+5
Step-by-step explanation:
2(a-3)+4b-2(a-b-3)+5
=2a-6+4b-2a+2b+6+5
the 2as and the 6s canel out so we are left with
6b+5
Which point on the graph represents the y-intercept?
V
W
Y
Z
Answer:
W
Step-by-step explanation:
Because the y-intercept is the line that passed through the y-axis
In a standard deck of cards, what is the probability that you draw a 2?
Answer:
1/13
Step-by-step explanation:
Step-by-step explanation:
So, drawing a given unit has a probability of 4/52=1/13. Once a card of a certain unit is drawn, there are just 3 cards of the same unit left, so the probability of drawing the second of the same unit is 3/51=1/17.
Please help ASAP!, answer as much as you want but I need these answer! Please and thank you have a great and blessed day!
Answer:
Step-by-step
5. D
6. B
7.B
A triangle has side lengths of 17 cm and 7 cm. Which could be the value of the third side, 25 cm or 20 cm? PLEASE EXPLAIN
Answer:
i think 25 couse... it depends of degre of triangle but just draw it and u will see
The slope of the line below is - 1/7. Write a point-slope equation of the line
using the coordinates of the labeled point.
O A. y+3 --=(x +3)
O B. y-3--4(x-3)
O C. y+3 = (x+3)
O D.y-3 = {(x-3)
Answer:
Option B. y – 3 = –1/7(x – 3)
Step-by-step explanation:
From the question given above, the following data were obtained:
Slope (m) = –1/7
Coordinate = (3, 3)
x₁ coordinate = 3
y₁ coordinate = 3
The equation of the line can be written as follow
y – y₁ = m(x – x₁)
y – 3 = –1/7(x – 3)
dont just say a random percentage to get brainliest i actually need help
Answer:
8/40 = 20%
Step-by-step explanation:
Simply count the cubes in the blue rectangle, then count the cubes in the red rectangle. Divide red by blue, multiply that by 100. Thus giving your percent.
WILL MARK BRAINLIEST TIMED HELP!
The height of an arrow that is shot upward at an initial velocity of 40 meters per second can be modeled by h=40t-5t^2 where h is the height in meters and t is the time in seconds. Find the time it takes for the arrow to reach the ground.
Answer:
its 8 seconds :)
Students are in a class. 16 are civil engineering (CE) majors, 7 are computer science majors (CS), 10 are business majors (B), 6 are math majors (M), 2 are English majors (E), and 4 are animal science majors (AS). If you randomly select 8 students from the class without replacement and without regard to order, give the number of ways the following events could occur.
a) Exactly 4 of the students are CS majors
b) 2 E, 3 CE, 1 AS, 1 M, 1 CS
Answer:
a) Exactly 4 of the students are CS majors - 2583525
b) 2 E, 3 CE, 1 AS, 1 M, 1 CS - 94080
Step-by-step explanation:
1) In total 8 students need to be selected out of total 45 students
4 need to be selected from CS stream and the other 4 will be selected from the remaining 38 student.
Probability of selecting 4 CS students = [tex]^7C_4[/tex]
Probability of selecting 4 more students from 38 students [tex]=^{38}C_4[/tex]
Probability of having exactly 4 of the students from CS majors
[tex]^7C_4[/tex] * [tex]^{38}C_4[/tex]
[tex]35 * 73815\\= 2583525[/tex]
2) ) 2 E, 3 CE, 1 AS, 1 M, 1 CS
[tex]^2C_2 * ^{16}C_3* ^4C_1* ^6C_1 * ^7C_1\\= 560 * 4* 6* 7\\= 94080[/tex]
Suppose you go shopping for a new futon bed for your room. The model you really like happens to be on sale for $1125. It's original price is $1200. What percent of the original price will you save if you purchase it?
Answer:
9.375% rounded 9%
Step-by-step explanation:
so if the original price is 1200 that is equal to 100% so if 1200=100% then to get ten percent of 1200 u would divide 1200 by 10 which gets you 120 and if the sale price is 1125 then u do 1125 divide by 120 because that is 10% so that gives you 9.357 and you add you percentage on and there is your anwser hope this helped ;)
Each circle counts as one whole. Write a mixed number giving the amount shaded. Then, write this amount as an improper fraction.
Answer:
3 1/3 and 10/3
Step-by-step explanation:
Answer:
mixed number: 3 1/3
improper fraction: 9/3
(if you want this simplified it, it would be 3/1 or just 3)
On a separate sheet of paper practice drawing a 10ft. Vertical line at three different scales using American system:
1) 1/2” = 1’;
2) 1/2” = 1’;
3)1/8” = 1’;
Draw also 12m. Vertical line at three different scales using the Metric System
4) 1/50 CM;
5) 1/100 CM;
6) 1/200 CM;
A street on a block plan is drawn at a scale of 1”=50’. When the drawing is measured with a ruler, the street is 1/2” wide. How wide is the actual street? Explain
Answer:
A street on a block plan is drawn at a scale of 1”=10’. When the drawing is measured with a ruler, the street is 5” wide. How wide is the actual street? Explain
Answer:
In your own words describe the three types of scale answer here:
En una Homs de paper separada, practique el dibujo de una linea vertical de 10 pies a tres escalate diferentes untilizando Sistema Americano:
1/2 “=1’;
1/2 “=1’;
1/8 “=1’;
Dibuja tamben una linea vertical de 12m. A tres escalas diferentes untilizando el Sistema Metrico:
4) 1/50 CM;
5) 1/100 CM;
6) 1/200 CM;
Una Calle en un plano de bloque se dibuja a una escala de 1 “=50 cuando el dibujo se mide con una regal, la calle tiene 1/2 “de ancho qué anchura real tiene la Calle? Explique
Una Calle en un Plano de bloque se dibuja a una escala de 1 “= 10 cuando el dibujo de mide con una regal, la Calle tiene 5 “ de ancho qué anchura real tiene la Calle? Explique
En sus palabras descibe las tres tipos de escala.
Escribe Aqui:
Help me
Answer:
Step-by-step explanation:ok
Define area. Give an example of how it is used in the real world. What label (units, units 2 , or units 3 ) is used for it?
Step-by-step explanation:
mmmmmkkkkkkkkkkkkkkkkkk
Assume AABC= ADEF. If DE = 18, BC = 10, and CA = 25, what is the length
of DF?
Answer:
D. 25
Step-by-step explanation:
in triangle congruence statements the order of the letters tells you which pieces of the triangles line up, thus ab = de, bc = ef, and ac = df, since ac = 25 that means df = 25
PLEASE HURRY HELP ME DUE IN 5 MIN WILL MARK BRAINLEST
Answer:
parallel
Step-by-step explanation:
Solve the triangle.
A = 33°, a = 19, b = 14
Answer:
Area = 1/2 × a × b sinx°
Therefore,
Area = 1/2 × 19 × 14 × sin 33°
= 133 × sin 33°
= 72.436 ~ 7.44
Hope it helps!
Is -20 a whole number, integer and rational number or is it just an integer and rational number?
Answer:
-20 is an integer and a rational number
Step-by-step explanation:
it can't be a whole number because a whole number is an integer that is 0 or greater.
The amount spent on movie tickets for 8 people is shown on the dot plot.
X
x
58.00
59.00
$10.00
$11.00
$12.00
Select the data set that matches with this dot plot.
{$10.00, $9.00, $11.00, $9.00, $9.00, $11.00, $12.00, $11.00}
{$10.00, $11.00, $12.00, $12.00, 59.00, $10.00, $9.00, 59.00}
{$10.00, $10.00, $12.00, $12.00, $9.00, 59.00, $10.00, $10.00}
(59.00, $12.00, $10.00 $9.00, $9.00, $9.00. S10.00, S11.00}
Type here to search
Answer:
math way can help
Step-by-step explanation:
Two numbers have ratio of 12:5 their difference is 49 find the two numbers
Answer: 84, 35
Step-by-step explanation:
12*7=84
5*7=35
84-35=49
The two numbers are 35 and 84
Let the two numbers be x and y
If the ratio are in 12: 5, hence:
x/y = 12/5
5x = 12y
x = 12y/5
If their difference is 49, then;
x - y = 49 .................. 2
12y/5 - y = 49
7y/5 = 39
7y = 49 * 5
y = 7 * 5
y = 35
Recall that x - y = 49
x = 49 + y
x = 49 + 35
x = 84
Hence the two numbers are 35 and 84
Learn more on equations here: https://brainly.com/question/14323743
Please help I’ll give Brainliest
Answer:
1. 5 cm^2
2. 9.375 cm^2
3. 3/10 cm^2
4. 3/28 m^2
Step-by-step explanation:
MNM Corporation gives each of its employees an aptitude test. The scores on the test are normally distributed with a mean of 75 and a standard deviation of 15. A simple random sample of 25 is taken from a population of 500.
a. What are the expected value, the standard deviation, and the shape of the sampling distribution of?
b. What is the probability that the average aptitude test in the sample will be between 70.14 and 82.14?
c. What is the probability that the average aptitude test in the sample will be greater than 82.68?
d. What is the probability that the average aptitude test in the sample will be less than 78.69?
e. Find a value, C, such that P(( x>C) = .015.
Answer:
a) The expected value is 75, the standard deviation is 3 and the shape is approximately normal.
b) 0.9387 = 93.87% probability that the average aptitude test in the sample will be between 70.14 and 82.14.
c) 0.0052 = 0.52% probability that the average aptitude test in the sample will be greater than 82.68.
d) 0.8907 = 89.07% probability that the average aptitude test in the sample will be less than 78.69.
e) C = 81.51.
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution and the central limit theorem.
Normal probability distribution
When the distribution is normal, we use the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score 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. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
The scores on the test are normally distributed with a mean of 75 and a standard deviation of 15.
This means that [tex]\mu = 75, \sigma = 15[/tex]
a. What are the expected value, the standard deviation, and the shape of the sampling distribution of?
By the Central Limit Theorem, it will be approximately normal, with expected value [tex]\mu = 75[/tex] and standard deviation [tex]s = \frac{15}{\sqrt{25}} = 3[/tex].
b. What is the probability that the average aptitude test in the sample will be between 70.14 and 82.14?
This is the pvalue of Z when X = 82.14 subtracted by the pvalue of Z when X = 70.14.
X = 82.14
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{82.14 - 75}{3}[/tex]
[tex]Z = 2.38[/tex]
[tex]Z = 2.38[/tex] has a pvalue of 0.9913.
X = 70.14
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{70.14 - 75}{3}[/tex]
[tex]Z = -1.62[/tex]
[tex]Z = -1.62[/tex] has a pvalue of 0.0526
0.9913 - 0.0526 = 0.9387
0.9387 = 93.87% probability that the average aptitude test in the sample will be between 70.14 and 82.14.
c. What is the probability that the average aptitude test in the sample will be greater than 82.68?
This is 1 subtracted by the pvalue of Z when X = 82.68. So
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{82.68 - 75}{3}[/tex]
[tex]Z = 2.56[/tex]
[tex]Z = 2.56[/tex] has a pvalue of 0.9948.
1 - 0.9948 = 0.0052
0.0052 = 0.52% probability that the average aptitude test in the sample will be greater than 82.68.
d. What is the probability that the average aptitude test in the sample will be less than 78.69?
This is the pvalue of Z when X = 78.69. So
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{78.69 - 75}{3}[/tex]
[tex]Z = 1.23[/tex]
[tex]Z = 1.23[/tex] has a pvalue of 0.8907.
0.8907 = 89.07% probability that the average aptitude test in the sample will be less than 78.69.
e. Find a value, C, such that P(( x>C) = .015.
This is X when Z has a pvalue of 1 - 0.015 = 0.985. So X when Z = 2.17.
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]2.17 = \frac{X - 75}{3}[/tex]
[tex]X - 75 = 3*2.17[/tex]
[tex]X = 81.51[/tex]
So C = 81.51.