Rewrite the number in Standard form
6 x 10^8
Answer:
10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 = 100,000,000 x 6 = 600,000,000.
Answer:
600000000
Step-by-step explanation:
10^8=100000000
6×100000000=600000000
hope this helps
Question 2
There are 8 students in a discussion section: 3 boys and 5 girls.
If the teacher picks a group of 1 at random, what is the probability that everyone in the
group is a boy?
3/8
1/3
110
Submit answer
Exit
wl
Chin
Answer:
3/8
Step-by-step explanation:
this is because there are 8 students in all and only three of them are boys
12+x=46
what is the answer to x?
Answer:
x=34
Step-by-step explanation:
3^x=2 solve for x without using calculating utility?
Help this is due today
A private beach is 6/7 mile in length and 1/4 mile in width. What is the area of the private beach? (Don't forget to simplify)Immersive Reader
(20 Points)
925 at 2% for 2.4 years
Answer:
Step-by-step explanation:
(20 points)
What is the measure of ^1?
☁︎
A:230
☁︎
B:130
☁︎
C:125
☁︎
D:115
Step-by-step explanation:
I want to say B) 130 but not 100% sure. Sorry if my answer is wrong.
Find the capacity of the tanks with the following internal dimensions. Express the capacity in cubic meters and liters for each tank.
Step-by-step explanation:
i) Capacity(Volume) = length x breadth x depth
= 3.2 x 2.9 x 1.5
= 13.92 m³
In litres, 13.92 x 1000 = 139,20 litres
ii) Capacity(Volume) = length x breadth x depth
= 2.5 x 1.6 x 1.3
= 5.2 m³
In litres, 5.2 x 1000 = 5200 litres
iii) Capacity(Volume) = length x breadth x depth
= 7.3 x 3.6 x 1.4
= 36.792 m³
In litres, 36.792 x 1000 = 36,792 litres
A process manufactures ball bearings with diameters that are normally distributed with mean 25.14 mm and standard deviation 0.08 mm. NOTE: This is a multi-part question. Once an answer is submitted, you will be unable to return to this part. A particular ball bearing has a diameter of 25.2 mm. What percentile is its diameter on
Answer:
The diameter is in the 77th percentile.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using 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.
25.14 mm and standard deviation 0.08 mm.
This means that [tex]\mu = 25.14, \sigma = 0.08[/tex]
A particular ball bearing has a diameter of 25.2 mm. What percentile is its diameter on?
This is the pvalue of Z when X = 25.2. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{25.2 - 25.14}{0.08}[/tex]
[tex]Z = 0.75[/tex]
[tex]Z = 0.75[/tex] has a pvalue of 0.77.
The diameter is in the 77th percentile.
PLS HELP ME
The smallest hummingbird is the Bee hummingbird. It has a mass of about 1
1
4
grams. The mass of a larger type of hummingbird is about 6 times the mass of the Bee hummingbird.
What is the mass of the larger hummingbird?
Answer:
The mass of the larger hummingbird is 7 1/2 or 15/2.
Step-by-step explanation:
Bee hummingbird = 1 1/4g
Larger hummingbird = 6x that
So,
1 1/4 x 6 = 7.5
7.5 as fraction = 7 1/2 or 15/2
Which of the following is a TRUE statement about check cashing stores?
The ratio of dogs to cats at the Humane Shelter is 3:9. If there are 45 dogs at the Humane Shelter, how many cats are there?
A. 405
B. 120
C. 135
D. 110
Answer:
c) 135
Step-by-step explanation:
dog ratio is 3
45 ÷ 3 = 15
therefore ratio 1 is 15
ratio 9
9×15 = 135
this is for all the linemen out there respect the gut (im a RT and DE)
Answer:
oh
Step-by-step explanation:
I need help with the questions I circle only.
Answer:
3:12
4:36
Step-by-step explanation:
( pls dont report me let me kno if it wrong and i will fix it
Can anyone help me with my homework
Evaluate 4a^0 where a = -2
Answer:
[tex]4a^0 = 4 \times 1 = 4[/tex]
An insurance office buys paper by the ream, 500 sheets, for use in the copier, fax, and printer. Each ream lasts an average of 4 days, with standard deviation 1 day. The distribution is normal, independent of previous reams. a. Find the probability that the next ream out- lasts the present one by more than 2 days. b. How many reams must be purchased if they are to last at least 60 days with probability at least 80%
Answer:
a) the probability that the next ream out- lasts the present one by more than 2 days is 0.0787
b) the number of reams that must be purchased is 19
Step-by-step explanation:
Given the data in the question;
Lets X₁ and X₂ be the two random variables that represents the first and second ream lasts
given that both random variables follow normal distribution with mean 4 and standard deviation 1.
a)
Find the probability that the next ream out- lasts the present one by more than 2 days.
P( X₂ - X₁ > 2 ) = P( [(X₂ - X₁ - E(X₂ - X₁)) / √(V(X₂ - X₁)] > [ (2-E(X₂ - X₁))/√(V(X₂ - X₁) ]
= 1 - P( Z ≤ [2-(μ₂ - μ₁)] / [√( V(X₂) + V(X₁) ) ] )
= 1 - P( Z ≤ [2-(4 - 4)] / [√( 1 + 1 )] )
= 1 - P = ( Z ≤ 2 / √2 )
= 1 - p( Z ≤ 1.4142 )
from excel; p( Z ≤ 1.41 ) = 0.9213
P( X₂ - X₁ > 2 ) = 1 - 0.9213
P( X₂ - X₁ > 2 ) = 0.0787
Therefore, the probability that the next ream out- lasts the present one by more than 2 days is 0.0787
b)
How many reams must be purchased if they are to last at least 60 days with probability at least 80%
total value is 4n
standard deviation is nσ
so
P(nX ≥ 60 ) = 0.80
P( nX-nμ /nσ ≥ 60-nμ/nσ) = 0.80
P( Z ≥ 60-4n/n) = 0.80
1 - P( Z ≥ 60-4n/n) = 0.80
P( Z < z ) = 0.20
now since z = 60-4n/n
from standard normal table
critical value of z corresponding to cumulative area of 0.20 is -0.841
so
z = - 0.841
60-4n/n = -0.841
60 - 4n = -0.841n
60 = -0.841n + 4n
60 = 3.159n
n = 60 / 3.159
n = 18.99 ≈ 19
Therefore, the number of reams that must be purchased is 19
circle A is defined as (x+5)^2+(y-6)^2=16, and circle B is defined as (x+3)^2+(y+2)^2=9. which transformation of circle A shows that circle B is similar
Answer: the answer is D “The center of circle A is translated left 2 and up 8, and the radius is enlarged by a scale factor of 4/3.”
Step-by-step explanation:
PLEASE HELP ME!!! PLEASE
Answer:
it should be (8,-7)
Step-by-step explanation:
here is a tree diagram showing the sample independent events how many outcomes are there for the second event
8
1
2
4
please help!!! and show work!!
Answer:
x = 17
Step-by-step explanation:
area = L x W
45 = (x-2)(x-14)
45 = x² - 14x - 2x + 28
simplify:
x² -16x - 17 = 0
(x + 1)(x -17 ) = 0
x = -1 not applicable
x = 17
Proof:
(17-2)(17-14) = 45
15 x 3 = 45
45 = 45
The length of a rectangle is increasing at a rate of 9 cm/s and its width is increasing at a rate of 4 cm/s. When the length is 15 cm and the width is 12 cm, how fast is the area of the rectangle increasing
Answer:
The area of the rectangle is increasing at a rate of 168 square centimeters per second.
Step-by-step explanation:
Geometrically speaking, the area of a rectangle ([tex]A[/tex]), in square centimeters, is described by following expression:
[tex]A = w\cdot l[/tex] (1)
Where:
[tex]w[/tex] - Width, in centimeters.
[tex]h[/tex] - Height, in centimeters.
By Differential Calculus, we find an expression for the rate of change of the area of the rectangle ([tex]\dot A[/tex]), in square centimeters per second:
[tex]\dot A = \dot w\cdot l + w\cdot \dot l[/tex] (2)
Where:
[tex]\dot w[/tex] - Rate of change of the width of the rectangle, in centimeters per second.
[tex]\dot l[/tex] - Rate of change of the length of the rectangle, in centimeters per second.
If we know that [tex]w = 12\,cm[/tex], [tex]l = 15\,cm[/tex], [tex]\dot w = 4\,\frac{cm}{s}[/tex] and [tex]\dot l = 9\,\frac{cm}{s}[/tex], then the rate of change of the area of the rectangle is:
[tex]\dot A = \dot w\cdot l + w\cdot \dot l[/tex]
[tex]\dot A = 168\,\frac{cm^{2}}{s}[/tex]
The area of the rectangle is increasing at a rate of 168 square centimeters per second.
3/5+1/4
Give your answer as a fraction in its simplest form
Answer:
5.25/5 i think
Step-by-step explanation:
3/5 = 8/10 and 1/4 = 2.5/10
So if I do 8/10 + 2.5 / 10.
My reply is 10.5/10
And if I reduce as max, my reply is: 5.25 / 5
Which algebraic expression is a polynomial?
3m^2 n - 2m/n + 1/n
4m^3/n^2 - 3mn^5 + square root of 8
7mn + 3m/2 + 5n/4
Answer: The answer is 7mn+3m/2+5n/4
7mn + 3m/2 + 5n/4 is the algebraic expression which is a polynomial
What is Polynomial?Polynomial is an expression consisting of indeterminates and coefficients, that involves only the operations of addition, subtraction, multiplication, and positive-integer powers of variables
A polynomial is an expression with variables and coefficients separated by addition and subtraction.
The following are used when determining if an expression is a polynomial:
i) Variables of a polynomial must not have negative exponent.
ii) Variables of a polynomial must not have fractional exponent.
iii) Dividing by an exponent is not allowed
iv) Exponent radicals are not allowed.
7mn + 3m/2 + 5n/4 is a polynomial because it has variables and seperated by operators addition and subtraction.
Hence, 7mn + 3m/2 + 5n/4 is the algebraic expression which is a polynomial
To learn more on Polynomials click:
https://brainly.com/question/11536910
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The sum of three consecutive positive numbers is 147. Find the product of the greatest and the
smallest number.
Answer:
any how there are three consecutive positive numbers
A company has a maximum advertising budget of $100,000 for the year. It
will be using two different platforms of advertising: online ads and billboards. Each online ad purchased will cost $15,000 for the year, and each billboard will cost $10,000 for the year. The company will not spend more than 60% of its overall budget on one of the platforms.Given that x represents the number of online ads purchased and y represents the number of billboards purchased, create a system of inequalities modeling the scenario. Select all that apply.
Answer:
Step-by-step explanation:
In AIJK, i = 270 cm, j = 170 cm and _K=122°. Find the area of AIJK, to the
nearest square centimeter.
9514 1404 393
Answer:
19,463 cm²
Step-by-step explanation:
The area is given by the formula ...
A = (1/2)ij·sin(K)
Filling in the values, we find the area to be ...
A = (1/2)(270 cm)(170 cm)·sin(122°) ≈ 19,463 cm²
Which of the following expressions is equivalent to 32 ÷ 4• 4 ÷ 2 • 2?
Answer:
128
Step-by-step explanation:
32 ÷ 4• 4 ÷ 2 • 2
8 .4.2.2
128
Desire conducts a survey of all 800 students in her school to find their favorite berry. She graphs the results of the survey the circle graph shown. If the number of students who prefer raspberries doubles, how many students would choose raspberries as their favorite?
A) 80 students
B) 320 students
C) 40 students
D) 160 students
("My teacher gave a hint: The correct percent (double 20% is 40%) but they want to know what is 40% of the total. Set up a proportion.
x 40%
_____ = _____
800 100
Cross multiply and divide to get your answer!")
Answer:
C) 40 students
Step-by-step explanation:
The correct percent double 20% is 40% but they want to know what is 40% of the total. Set up a proportion.
x 40%
_____ = _____
800 100
Cross multiply and divide to get your answer!