Verne has 5 math books to line up on a shelf. Jenny has 4 English books to line up on a shelf. In how many more orders can Verne line up his books than Jenny
Answer: 96
Step-by-step explanation:
Given
Verne has 5 math books to line up on a shelf
Jenny has 4 english books to line up on a shelf
No of ways Verne can arrange the books are [tex]5![/tex]
No of ways Jenny can arrange the books are [tex]4![/tex]
Difference between them
[tex]=5!-4!\\=120-24\\=96[/tex]
Thus, Verne can line up 96 more orders than Jenny
Which equation shows a y- intercept of -5
Hi there!
»»————- ★ ————-««
I believe your answer is:
Option B) [tex]y=x-5[/tex]
»»————- ★ ————-««
Here’s why:
Most options (Second, Third, and Fourth) are in slope intercept form.⸻⸻⸻⸻
[tex]\boxed{\text{Slope-Intercept Form}}\\\\y=mx + b\\\\\boxed{\text{Key:}}\\\\m - \text{The Slope}\\\\b- \text{The Y-Intercept}[/tex]
⸻⸻⸻⸻
We are looking for the equation where '-5' is in b's place.⸻⸻⸻⸻
[tex]\boxed{\text{Which equation shows a y-intercept of -5?}}\\\\---------\\\text{A}) -5y = x\\\\\text{This equation in slope-intercept form is }y=\frac{1}{5}x.\\\\\text{The 'b' part is not shown. This means that the line passes through the}\\\text{origin.}\\\\---------\\\\\text{B})\text{ }y = x-5\\\\\text{This option shows a slope of one and a y-intercept of -5.} \\\\\text{Therefore, \boxed{\text{option B is the correct answer.}}}\\\\----------\\\text{Option C has a y-intercept of 5, and Option D has a}\\[/tex]
[tex]\text{y-intercept of 1.}[/tex]
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
Which graph represents the equation (x – 3)2 + y2 = 16?
Answer:
It is B on edge
Step-by-step explanation:
Several years ago, 39% of parents who had children in grades K-12 were satisfied with the quality of education the students receive. A recent poll asked 1,045 parents who have children in grades K-12 if they were satisfied with the quality of education the students receive. Of the 1,045 surveyed, 471 indicated that they were satisfied. Construct a 99% confidence interval to assess whether this represents evidence that parents' attitudes toward the quality of education have changed.
Answer:
let p be the population proportion of parents who had children in grades k-12 were satisfied with the quality of education the students receive.
Step-by-step explanation:
Kamal invested $1200 in a savings acc paying 1.8% per yr compound interest.
he left the money in the acc for 5 yrs.
what is the amount of money in the acc at the end of 5 yrs???
give the ans with working and to the nearest cent
Answer:
A = $1311 and 96cents
Step-by-step explanation:
[tex]A = P(1 + \frac{r}{n})^{nt}[/tex]
P = $1200
r = 1.8% = 0.018
n = 1 (compounded yearly)
t = 5
[tex]A = 1200(1 + 0.018)^5 = 1200 \times(1.018)^5 = 1311. 96[/tex]
PLEASE HELP I WILL GIVE BRAINILEST which question shows The function Y equals 2^X translated four units left and two units down a y-2=2^x-4. b y+4=2^x-2. c y-4=2^x +2. d y+2 =2^x+4
Plz help me ..?????a........
Answer:
Hope it's correct
Step-by-step explanation:
I believe it's week 2.
Fill in the blanks. Suppose the probability at a light bulb factory of a bulb being defective is 0.11. If a shipment of 133 bulbs is sent out, the number of defective bulbs in the shipment should be around __________, give or take __________. Assume each bulb is independent.
Answer:
The number of defective bulbs in the shipment should be around 15, give or take 4.
Step-by-step explanation:
For each bulb, there are only two possible outcomes. Either it is defective, or it is not. The probability of a bulb being defective is independent of any other bulb. This means that the binomial probability distribution is used to solve this question.
Binomial probability distribution
Probability of exactly x successes on n repeated trials, with p probability.
The expected value of the binomial distribution is:
[tex]E(X) = np[/tex]
The standard deviation of the binomial distribution is:
[tex]\sqrt{V(X)} = \sqrt{np(1-p)}[/tex]
Suppose the probability at a light bulb factory of a bulb being defective is 0.11
This means that [tex]p = 0.11[/tex]
Shipment of 133 bulbs:
This means that [tex]n = 133[/tex]
Mean and standard deviation:
[tex]E(X) = np = 133*0.11 = 14.63[/tex]
[tex]\sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{133*0.11*0.89} = 3.61[/tex]
Rounding to the nearest integers:
The number of defective bulbs in the shipment should be around 15, give or take 4.
express 30kmph in M/S
Step-by-step explanation:
30×5/18
25/3
=8.33 m/s
!!!!!!!!!
Answer:
I think the answer is 8.33 (rounded to 2 decimal points)
Find the length of the arc in terms of pi A 144° 10 AB = [?]
Answer:
Arc AB = 8π
Step-by-step explanation:
Length of arc = central angle/360 × 2πr
Where,
Central angle = measure of arc AB = 144° (central angle theorem)
r = radius = 10
Length of arc AB = 144/360 × 2 × π × 10
= 8π
An investment of $8500 increases in value by 4.5% every year. How long until the investment
reaches about $17,323. Round to the nearest whole year
Answer:
At an interest rate of 4.5% compounded annually, it will take 16.17 years to reach $17,323.-
Step-by-step explanation:
Giving the following information:
Present Value (PV)= $8,500
Future value (FV)= $17,323
Interest rate (i)= 4.5%
To calculate the time required for the investment to reach the objective, we need to use the following formula:
n= ln(FV/PV) / ln(1+i)
n= ln(17,323/8,500) / ln(1.045)
n= 16.17 years
At an interest rate of 4.5% compounded annually, it will take 16.17 years to reach $17,323.-
Question
Raymond wants to estimate the percentage of parents who use cloth diapers. He asks a randomly selected group of 200
parents whether or not they use cloth diapers. What is the data?
Answer:
Step-by-step explanation:
Given : Raymond wants to estimate the percentage of parents that use cloth diapers. He asks a randomly selected group of 200 parents whether or not they use cloth diapers.
The parameter are the number which are used to represents the quantity of a particular characteristic in entire population.
We know that to estimate the percentage of success we use the proportion of success parameter "p".
Hence, the parameter here is "p" , the proportion of parents that use cloth diapers.
Answer:
specific "yes" or "no" responses to the survey
Step-by-step explanation:
Got it right
Where would (2,-4) be on the coordinate plane?
Answer:
fourth quadrant
Step-by-step explanation:
Eight trials are simulated. The results are shown in the table.
Simulation
109 105 112 110
115 106 108 109
What is the estimated margin of error, using standard deviation?
Answer:
3.33
Step-by-step explanation:
I just took the test! :D
The estimated margin of error, using standard deviation is 3.33.
What is the estimated margin of error, using standard deviation?The margin of error shows an estimated percentage, or that surrounds a guess related to the real value of the population. For example, a confidence interval that has a margin of error tells you that your findings will be within the real population value of the time.
Typically, the higher the standard deviation, the more dispersed the data is. Understanding standard deviation is an essential part of calculating the margin of error for your data. If you do not have the value for your sample data proportion.
Standard deviation describes variability within a single sample, while standard error describes variability across multiple samples of a population. Standard deviation is a descriptive statistic that can be calculated from sample data, while standard error is an inferential statistic that can only be estimated.
Learn more about errors here:-https://brainly.com/question/11472659
#SPJ2
Of 60 randomly chosen students from a school surveyed,16 chose aquarium as their favorite fiel trip.There are 720 students in the school.predict the number of student in the school who chose aquarium
Answer:
192 students
Step-by-step explanation:
60 randomly students surveyed
16 chose aquarium as their favorite field trip.
720 students in total.
[tex]\frac{16}{60}[/tex] = [tex]\frac{?}{720}[/tex] =
720 × 16 ÷ 60 =
192 students
I need help with this asap thank you so much
Answer:
C
Step-by-step explanation:
Convert 10π/6 radians into degrees.
We know that ,
[tex]\pi rad = 180^o[/tex]
SOLUTION :Using Unitary Method ,
[tex]\implies 1 \ rad = \dfrac{180^o}{\pi } [/tex]
Therefore ,
[tex]\implies \dfrac{10\pi}{6} rad = \dfrac{10\pi}{6} * \dfrac{180^o}{\pi } [/tex]
[tex]= \boxed{\red{ 300^o }}[/tex]
Required answer !
7 x [(26 - 5) - (5 + 6)]
Answer:70x
Step-by-step explanation: FIND BY OWN
Select the correct answer.
Which graph models the function f(x) = 2(x – 4)^2 + 3
Answer:
the graph is going to be facing up not down
A rectangle has a length of (x+6) units and a width of (x - 5) units.
What is the area of the rectangle in terms of x?
A (x^2 – 30) square units
B (x^2 +30) square units
C (x^2– x+30) square units
D (x^2+– 30) square units
Answer:
x² +x -30
Step-by-step explanation:
A = length * width = (x+6)(x-5) = x² -5x+6x-30= x²+x -30
Can someone help please? 3 |x+1|>5
Answer:
The Answer as you see
Step-by-step explanation:
Have a good luck with ur Exam
Cant really put it in here so look at photo Ö
Answer:
42
Step-by-step explanation:
I am preety sure !
Natalie bought 4 large drinks and 4 large bags of popcorn. Each bag of popcorn cost $4.00 each and she spent $26. How much was each large drink?
WRITE AN EQUATION
HELP ASAP WILL MARK BRAINLEST
Answer:The drinks are $2.50 each
Step-by-step explanation:$4.00 x 4 = $16.00 then do $26 - $16 = 10 and 10 divided by 4 = 2.5
Help!!!!!!Solve for X. Round to the nearest tenth of a degree, if necessary.
Simplify the following expression:
(3i+ 4) -i + 4(6 +2i)
A. 14+8i
B. 27 + 11i
C. 14+41i
D. 28 + 10i
9514 1404 393
Answer:
D. 28 +10i
Step-by-step explanation:
As with any "collect terms" problem, you first identify the like terms, then add their coefficients. You can start with either the real or the imaginary terms to obtain a result that will point you to the correct answer choice. Of course, the distributive property works in the usual way.
(3i+ 4) -i + 4(6 +2i) = 3i +4 -i +24 +8i . . . . eliminate parentheses
= (4 +24) +(3 -1 +8)i . . . . . . . group like terms
= 28 +10i
Which expression is positive
Answer:
I would say none of the above
Step-by-step explanation:
When you evaluate A & B they both give you negatives So C
Good luck on Khan academy ;)
Answer:
the answer should be C
Step-by-step explanation:
the first two questions both come out to negative numbers so the only option would be the third.
One bag contains 6 red, 2 blue, and 3 yellow balls. A second bag contains 2 red, 4 blue, and 5 yellow balls. A third bag contains 3 red, 7 blue, and 1 yellow ball. One bag is selected at random. If 1 ball is drawn from the selected bag, what is the probability that the ball drawn is yellow?
Answer:
2 is the probability
Step-by-step explanation:
The triangular prism has a square base face of 8 cm. The perpendicular height from
the square base face is 15 cm. The surface area in square centimetres is
15 cm
8 cm
B.
248
264
A
384
C 324
convert 495.05 to fraction
Answer:
495 1/20
Step-by-step explanation:
Answer:
[tex]495.05 = \frac{49505}{100} = \frac{9901}{20}[/tex]
Question 1
12.5 pts
1. A triangular prism is shown below. What is the volume of the triangular prism in
cubic inches?
15cm
112cm
9cm
12cm
ОА.
1,296 cm
OB.
180 cm
O C.
1,620 cm3
OD.
648 cm3
Question 2
willgive brainlest
Answer:
The volume of the triangular prism = 648 cm³
Step-by-step explanation:
Check the image uploaded for the diagram of the prism.
Given;
hypothenuse side of the triangle, = 15 cm
base of the triangle, b = 12 cm
height of the triangle, h = 9 cm
height of the prism, I = 12 cm
The volume of the triangular prism = Area of the base triangle x height of the prism
The volume of the triangular prism = ¹/₂ x b x h x I
The volume of the triangular prism = ¹/₂ x 12 x 9 x 12
The volume of the triangular prism = 648 cm³