Answer:
Unit 1= $12.4 per gallon
Unit 2= $10.375 per gallon
Step-by-step explanation:
Given
[tex]Quantity\ 1= 5\ gallons[/tex]
[tex]Price = \$62.00[/tex]
[tex]Quantity\ 2= 8\ gallons[/tex]
[tex]Price =\$83.00[/tex]
Required
The unit price
The unit price is calculated as:
[tex]Unit = \frac{Price}{Quantity}[/tex]
So, we have:
[tex]Unit\ 1= \frac{Price \ 1}{Quantity\ 1}[/tex]
[tex]Unit\ 1= \frac{\$62.00}{5\ gallons}[/tex]
Unit 1= $12.4 per gallon
[tex]Unit\ 2= \frac{Price \ 2}{Quantity\ 2}[/tex]
[tex]Unit\ 2= \frac{\$83.00}{8}[/tex]
Unit 2= $10.375 per gallon
What is the slope of the following equation?
y = 2x -3
Answer:
Step-by-step explanation:
2 is the slo[pe:)
Please answer correctly with factual information for brainliest.
Answer:
I would say 54 units (sorry if I'm wrong)
Use a permutation expression to solve.
In a race of 39 people, how many different ways can the runners place in 1st, 2nd, and 3rd?
9,139
18,278
54,834
59,319
Answer:
C. 54,834
Step-by-step explanation:
Took the test
The lengths of text messages are normally distributed with a population standard deviation of 4 characters and an unknown population mean. If a random sample of 26 text messages is taken and results in a sample mean of 28 characters, find a 98% confidence interval for the population mean. Round your answers to two decimal places. z0.10 z0.05 z0.04 z0.025 z0.01 z0.005 1.282 1.645 1.751 1.960 2.326 2.576
Answer:
The answer is "[tex](25.32, 30.68)[/tex]"
Step-by-step explanation:
Given:
[tex]\bar x = 28\\\\ \sigma = 4\\\\n =26\\\\[/tex]
When [tex]98\%[/tex] confidence level so, the z:
[tex]\alpha = 1 - 98\% = 1 - 0.98 = 0.2\\\\\frac{\alpha}{2} =\frac{0.02}{2} = 0.01\\\\Z_{\frac{\alpha}{2}} = Z_{0.01} = 1.645\ \ \ ( Using \ z \ table )\\\\[/tex]
[tex]E = Z_{\frac{\alpha}{2} \times ( \frac{\sigma}{\sqrt{n}})[/tex]
[tex]= 1.645 \times (\frac{4}{\sqrt{26}})\\\\=2.68[/tex]
When 98% confidence interval estimate of the population mean is,
[tex]\bar x - E < \mu < \bar x + E\\\\28 - 2.68 < \mu < 28 + 2.68\\\\25.32 < \mu < 30.68\\\\(25.32, 30.68)\\\\[/tex]
Shawn is buying a house and needs a loan for $120,000. Several banks have offered mortgages . Which of these offers would result in Shawn paying least amount of interest?
Answer:
b
Step-by-step explanation:
An airline's public relations department claims that when luggage is lost, 88% is recovered and delivered to its owner within 24 hours. A consumer group who surveyed a large number of air travelers found that 138 out of 160 people who lost luggage on that airline were reunited with the missing items by the next day. At the 0.10 level of significance, do the data provide sufficient evidence to conclude that the proportion of times that luggage is returned within 24 hours is less than 0. 88? Identify the hypothesis statements you would use to test this. H0: p = 0.88 versus HA : p < 0.88 H0: p < 0.88 versus HA : p = 0.88 H0: p = 0.863 versus HA : p < 0.863
Answer:
The hypothesis statements are: H0: p = 0.88 versus HA : p < 0.88
The p-value of the test is 0.2483 > 0.1, which means that the data does not provide sufficient evidence to conclude that the proportion of times that luggage is returned within 24 hours is less than 0.88.
Step-by-step explanation:
Test if the proportion of times that luggage is returned within 24 hours is less than 0. 88
At the null hypothesis, we test if the proportion is of 0.88, that is:
[tex]H_0: p = 0.88[/tex]
At the alternate hypothesis, we test if this proportion is less than 0.88, that is:
[tex]H_a: p < 0.88[/tex]
The hypothesis statements are: H0: p = 0.88 versus HA : p < 0.88
The test statistic is:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.
0.88 is tested at the null hypothesis:
This means that [tex]\mu = 0.88, \sigma = \sqrt{0.88*0.12}[/tex]
A consumer group who surveyed a large number of air travelers found that 138 out of 160 people who lost luggage on that airline were reunited with the missing items by the next day.
This means that [tex]n = 160, X = \frac{138}{160} = 0.8625[/tex]
Test statistic:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
[tex]z = \frac{0.8625 - 0.88}{\frac{\sqrt{0.88*0.12}}{\sqrt{160}}}[/tex]
[tex]z = -0.68[/tex]
P-value of the test:
The p-value of the test is the probability of finding a sample proportion below 0.8625, which is the p-value of z = -0.68.
Looking at the z-table, the p-value of z = -0.68 is of 0.2483.
The p-value of the test is 0.2483 > 0.1, which means that the data does not provide sufficient evidence to conclude that the proportion of times that luggage is returned within 24 hours is less than 0.88.
Which of these tables represents a function?
Table A
Table B
Table C
Table D
What is the slope of the following graph?
Answer:
Point
Step-by-step explanation:
help what's the answer
Answer:
2nt one
Step-by-step explanation:
pls help quick it is in the picture
Answer:
90 degrees it looks like
Step-by-step explanation:
A store raises its prices on granola bars by 15%. The original cost of the granola bars is $3.50. What is the new cost of granola bars?
Answer:
$4.02
Step-by-step explanation:
9. If PQRS is a kite, find RQ. *
17 ft.
23 ft.
30 ft.
12 ft.
Answer:
17 ft
Step-by-step explanation:
The triangle on the bottom left is a right triangle.
a² + b² = c²
(8 ft)² + (15 ft)² = (RQ)²
64 ft² + 225 ft² = (RQ)²
(RQ)² = 289 ft²
RQ = 17 ft
Plz help me well mark brainliest if correct...........???
Answer:
A. Second Grade
Step-by-step explanation:
Please Help i need the answer done step by step!
Answer:
55°
Step-by-step explanation:
180-125= 55
since they are supplementary, just subtract from 180
John is giving out chocolate to his friends. If he wants to give each friend 23
of a chocolate bar and he has 13 friends, how many chocolate bars will he
need to buy?
Answer:
299
Step-by-step explanation:
23x13 = 299
Marley loves to draw and color. She bought 6 boxes of crayons. There are 8 crayons in each box. What is the total number of crayons Marley bought? What operation did you use to find your answer? Be sure to write your answer in a complete sentence.
Answer:
48 crayons
Step-by-step explanation:
There are 6 boxes total, each with 8 crayons in them. Notice that if you would count all the crayons, you would add 8 to the total number of crayons each time you counted a box. There are 6 boxes, so that would be equivalent to adding 8 a total of six times. You would use multiplication: 6 x 8 which is 48.
Answer:
marley has 48 crayons he bought
step by step equation:
6 times 8 =48
you use multiplication to answer this question
Plz help me well mark brainliest if correct!!
What is the surface area of the figure below?
What is the expanded form of this number?
630.052
(6×100)+(3×1)+(5×1/100)+(2×1/1,000)
(6×100)+(3×1)+(5×1/10)+(2×1/100)
(6×100)+(3×10)+(5×1/10)+(2×1/100)
(6×100)+(3×10)+(5×1/100)+(2×1/1,000)
Answer:
Expanded Notation Form:
630.052 =
600
+ 30
+ 0
+ 0.0
+ 0.05
+ 0.002
Expanded Factors Form:
630.052 =
6 × 100
+ 3 × 10
+ 0 × 1
+ 0 × 0.1
+ 5 × 0.01
+ 2 × 0.001
Expanded Exponential Form:
630.052 =
6 × 102
+ 3 × 101
+ 0 × 100
+ 0 × 10-1
+ 5 × 10-2
+ 2 × 10-3
Word Form:
630.052 =
six hundred thirty and fifty-two thousandths
Step-by-step explanation:
Answer:
Expanded Notation Form:
630.052 =
600
+ 30
+ 0
+ 0.0
+ 0.05
+ 0.002
Expanded Factors Form:
630.052 =
6 × 100
+ 3 × 10
+ 0 × 1
+ 0 × 0.1
+ 5 × 0.01
+ 2 × 0.001
Expanded Exponential Form:
630.052 =
6 × 102
+ 3 × 101
+ 0 × 100
+ 0 × 10-1
+ 5 × 10-2
+ 2 × 10-3
Step-by-step explanation:
PLSSSSSSSSSSS HELPPPPPPPPPP OMG PLSSSSSSSS HELPPPPPP
Answer:
A
Step-by-step explanation:
You can see they are multiplying x by 3 every time.
Answer:
A) y=3x
Step-by-step explanation:
find the pattern between x and y. if we try using the equation y=3x, plug in the values to check if its correct.
input(x) = 2
output(y)=6
6=3(2)
6=6
HELPPPP MEEEEEEE PLZZZZZZ
f(x) = 2x3 - 3x2 + 5
g(x) = 3x3 + 2x2 - 4x - 9
Find (f - g)(x).
O – x3 – 5x2 + 4x + 14
O – x3 – x2 - 4x - 4
O 5x3 – x2 - 4x - 4
O x3 + 5x2 - 4x – 14
Answer:
(f - g)(x) = -x³ -5x² + 4x + 14
Step-by-step explanation:
f(x) = 2x³ - 3x² + 5
g(x) = 3x³ + 2x² - 4x - 9 subtract
(f - g)(x) = (2-3)x³ + (-3-2)x² + (0 - -4)x + (5 - -9)
(f - g)(x) = (-1)x³ + (-5)x² + (0 + 4)x + (5+ 9)
(f - g)(x) = (-1)x³ + (-5)x² + (4)x + (14)
(f - g)(x) = -x³ -5x² + 4x + 14
What is the simplest form of each espression
Answer:
Simplification of an algebraic expression can be defined as the process of writing an expression in the most efficient and compact form without affecting the value of the original expression. The process entails collecting like terms, which implies adding or subtracting terms in an expression.
What is the mixed number form of 17/2 simplify the answer if possible hurry
Answer:
8 1/2
Step-by-step explanation:
17 goes into 2 8 times with a remainder of 1
so you get 8 1/2
GIVING BRAINIEST!!!!!
Answer:
Clearly, the probability of drawing a heart out of the deck is 13/52, or 1/4. The probability of drawing an even number as card #2 (∈{2,4,6,8,10}) for any suit is 20/51, except when the first card drawn is an even heart, then the probability of the second draw is 19/51.
What's the Area for each shape?
Answer:
[tex](6 \times 5) + (2 \times 3) \\ 30 + 6 \\ = 36cm^{2} [/tex]
how to solve this equation
defintion of Symmetrical Dot Plot
Answer: The most typical symmetric histogram or dot plot has the highest vertical column in the center. This shape is often referred to as being a "normal curve" (or normal distribution). ... Skewed Right (positively skewed) - fewer data plots are found to the right of the graph (toward the larger numeric values).
can anybody help me please
Answer:
Is B
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
state of the given functions are inverses. Part 3. NO LINKS!!!!
Answer:
9.
h(x)=-x-1
let y =-x-1
interchanging role of x & y
x=-y-1
y=-x-1
h-¹(x)=-x-1
again
f(x)=(2-3x)/2
let
y=(2-3x)/2
interchanging role of x & y
x=(2-3y)/2
2x-2=-3y
y=(2-2x)/3
f-¹(x)=(2-2x)/3
Given function are not inverse of each other.
10.
f(x)=-x+3
let y=-x+3
interchanging role of x & y
x=-y+3
y=3-x
f-¹(x)=-x+3
equal to g(x)=-x+3
Given function are inverse of each other.
Answer:
Step-by-step explanation:
Call h(x) = y (It's easier to see).
y = -x - 1
The first step is always to interchange x and y
y = -x - 1
-x = y - 1
Solve for y
-x + 1 = y
If I understand the question, these two (f(x) and h(x)) are not inverses.
10 is a bit tricky. An inverse can invert into itself: This is called an involution. But if they are differently labeled, I'm not sure. I don't think that this is exactly what is men by an involution. Something like y = x would be. But you have 2 different inverses. I'm not sure that this qualifies.
y = x + 3
g = x + 3
x = y + 3
x - 3 = y