write the standard number 723,600 in scientifict notation
Answer:
723,600 = 7.236 × [tex]10^{5}[/tex]
Step-by-step explanation:
Scientific notation is a way to express numbers in a form that makes numbers that are too small or too large more convenient to write. It is commonly used in mathematics, engineering, and science, as it can help simplify arithmetic operations.
Simplify the following expression 5^-3
Answer 1/25 or decimal 0.008
Step-by-step explanation:
Answer:
0.008
Step-by-step explanation:
helo
28) Solve the inequality: 12x−10>170
A. x>15
B. x<−90
C. x<−58
D. x<15
Answer:
p=5x+3y
solve for x, number of cupcakes. isolate x
5x=p-3y
divide by 5
x=(p-3y)/5
Step-by-step explanation:
D. x<15
Amy purchased a brand–new mountain bike, which she's riding through the winding trails. The bike's displacement is given by
s(t) = t3 − 2t2 + 3. What is the bike's acceleration after three minutes?
Answer:
a = 14 m/min²
Step-by-step explanation:
The displacement of bike is given by :
[tex]s(t)=t^3-2t^2+3[/tex]
Velocity, [tex]v=\dfrac{ds(t)}{dt}[/tex]
Finding velocity of the bike.
[tex]v=\dfrac{d}{dt}(t^3-2t^2+3)\\\\=3t^2-4t[/tex]
Acceleration, [tex]a=\dfrac{dv(t)}{dt}[/tex]
[tex]a=\dfrac{d}{dt}(3t^2-4t)\\\\=6t-4[/tex]
At t = 3 minutes,
a = 6(3) - 4
= 18-4
= 14 m/min²
So, the bike's acceleration after 3 minutes is 14 m/min².
Alex started a new social media account, which he uses to post pictures of cute animals. On the first day, he had only 8 followers. However, his account became popular very quickly and his number of followers tripled every day. Identify the recursive function that gives the number of followers he has after n days.
Answer:
[tex]T_n = 3T_{n-1}[/tex]
Step-by-step explanation:
Given
[tex]T_1 = 8[/tex] -- First term
[tex]r = 3[/tex] --- rate
Required
Determine the recursive term
We have:
[tex]T_1 = 8[/tex]
The second term to the nth term is:
[tex]T_2 = T_1 * 3 = 8 * 3 = 24[/tex]
[tex]T_3 = T_2 * 3 = 24 * 3 = 72[/tex]
[tex]T_4 = T_3 * 3 = 72 * 3 = 216[/tex]
Using the above yardstick:
[tex]T_n = T_{n-1} * 3[/tex]
[tex]T_n = 3T_{n-1}[/tex]
Answer:
4.Let the required function be denoted by f(n) , where n denotes the nth day after Alex started a new social media account.
On day 1, the number of Alex’s followers is 8. Hence f(1) = 8.
Subsequently, the number of Alex’s followers tripled every day. Hence f(n) = 3f(n-1) when n > 1.
Thus, the recursive function is
f(1) = 8
f(n) = 3 f(n-1) if n > 1.
Option D is the correct answer.
Step-by-step explanation:
A farm has 5 brown cows and 10 white cows. A fence is open and a cow escapes. What is the probability that it will be a brown cow?
Answer:
D
Step-by-step explanation:
Select the correct answer.
Which expression means five times the sum of band two?
OA. 5(6+2)
O B. 56+2
Oc. (6+2)
5
D
(5+2)
OD.
—
HELP PLEASE!! ill give brainlist
Answer:
Hi... Your answer is A...
NEEED HELP QUICK PLS PLS pls pls pls .
Answer:
step 4 is correct because h-¹(x)=2x+5
An expression is evaluated as shown below.
8 + 3 × (4 ÷ 2) − 7
Step 1: 8 + 3 × 2 − 7
Step 2: 11 × 2 − 7
Step 3: 22 − 7
Step 4: 15
In which step does a mistake first appear?
Answer:
Step 2: 11 × 2 - 7
Step-by-step explanation:
unzsun sun dn I'd i
r(x)=2square root of x S(x)= square root of x (rs)(4)=
Answer:
[tex](rs)(4) = 8[/tex]
Step-by-step explanation:
Given
[tex]r(x) = 2\sqrt{x[/tex]
[tex]s(x) = \sqrt x[/tex]
Required
Determine [tex](rs)(4)[/tex]
In functions:
[tex](fg)(x) = f(x) * g(x)[/tex]
This implies that:
[tex](rs)(x) = r(x) * s(x)[/tex]
Substitute values for r(x) and s(x)
[tex](rs)(x) = 2\sqrt{x} * \sqrt{x}[/tex]
[tex](rs)(x) = 2(\sqrt{x})^2[/tex]
[tex](rs)(x) = 2x[/tex]
Substitute 4 for x
[tex](rs)(4) = 2 * 4[/tex]
[tex](rs)(4) = 8[/tex]
What’s a perfect cube
M
What is the sample space of rolling a 6 sided number cube? SELECT ALL THAT APPLY
1
2
3
4
5
6
Answer:
Its all of them or just 6
Step-by-step explanation:
2x + 8=12 what is the value of 4x + 2
Answer:
2x + 8 = 12
x = 2
4x = 2 = 10
Step-by-step explanation:
what is the repricocal of 2/3
A. -3/2
B. -2/3
C. 1/3
D. 3/2
Angles in a triangle
Answer
1=62
2=45
3=24
Angle 1
1 plus 118 equals 180 degrees (because both of the angles combined creates a straight angle).
1+118=180
180-118=1
1=62
Angle 2
The angles in a triangle add up to 180 degrees.
You know that angle 1 is 62 degrees.
And the other angle is 73 degrees.
You can now find angle 2.
62+73+2=180
2=180-62-73
2=45
Angle 3
Angle three is in a different triangle.
You already know that the angles in a triangle added up are 180 degrees.
The other missing angle in the triangle can be found by subtracting 73 from 180.
180-73=107
Now you know that two of the angles in the triangle are 107 and 49.
You can now find angle 3.
107+49+3=180
3=180-107-49
3=24
A national charity contacted 100 randomly selected people by phone, and 7 percent of those contacted made a donation to the charity. The population proportion of those who make a donation when contacted by phone is known to be p=0.05. For samples of size 100, which of the following best interprets the mean of the sampling distribution of the sample proportion of people who make a donation when contacted by phone?
a. For all random samples of 100 people contacted by phone, the sample proportion of those who make a donation will be 0.05.
b. For all random samples of 100 people contacted by phone, the sample proportion of those who make a donation will be 0.07.
c. The mean of all sample proportions of those who make a donation from all random samples of 100 people contacted by phone is 0.05.
d. The mean of all sample proportions of those who make a donation from all random samples of 100 people contacted by phone is 0.07.
e. The probability that the mean of the sampling distribution of sample proportions is greater than 0.07 is 0.05.
Answer: c. The mean of all sample proportions of those who make a donation from all random samples of 100 people contacted by phone is 0.05.
Step-by-step explanation:
Mean of the sampling distribution of the sample proportion = p (Population proportion.)
Here, the population proportion of those who make a donation when contacted by phone is known to be p=0.05.
Then, Mean = p = 0.05
Hence, the correct option is
c. The mean of all sample proportions of those who make a donation from all random samples of 100 people contacted by phone is 0.05.
This question is based on the concept of statistics. Hence, the correct option is (c) The mean of all sample proportions of those who make a donation from all random samples of 100 people contacted by phone is 0.05.
Given:
A national charity contacted 100 randomly selected people by phone, and 7 percent of those contacted made a donation to the charity. The population proportion p=0.05. For samples of size 100.
According to the question,
Mean of sampling distribution of the sample proportion = p (Population proportion.)
It is given that, the population proportion of those who make donation when contacted by phone is known to be p=0.05.
Thus, Mean = p = 0.05
Hence, the correct option is (c) The mean of all sample proportions of those who make a donation from all random samples of 100 people contacted by phone is 0.05.
For more details, prefer this link:
https://brainly.com/question/10211620
A state's Department of Education reports that 12% of the high school students in that state attend private high schools. The State University wonders if the percentage is the same in their applicant pool. Admissions officers plan to check a random sample of the over 10,000 applications on file to estimate the percentage of students applying for admission who attend private schools.
a) They select a random sample of 500 applications, and find that 46 of those students attend private schools. Check the conditions required for inference. (3 marks)
b) Create the 90% confidence interval. (6 marks)
c) Interpret the confidence interval in the context of the problem. (3 marks)
d) Should the admissions officers conclude that the percentage of private school students in their applicant pool is lower than the statewide enrollment rate of 12%? Explain. (2 marks)
Answer:
a) p*n = 46 and q*n = 454 data is enough for inference
b) CI = ( 0,099 ; 0,141)
c) CI we will find with 90% of confidence the value of p in that interval
d) No, we accept H₀ we don´t have evidence to claim that the percentage in the State University is smaller than that of the Department of Education
Step-by-step explanation:
Information from A state´s Department of Education is:
p₀ = 12 % p₀ = 0,12
The State University sample:
Sample size n = 500
Sample proportion 46 out of 500
p = 46/500 p = 0,092 then q = 1- p q = 1 - 0,092 q = 0,908
Both p*n = 46 and q*n = 454
a) Are big enough to approximate the binomial distribution to normal distribution
b) CI = 90% CI = 0,9 significance level α = 0,10 for an CI we need
α/2 = 0,10/2 α/2 = 0,05
z(c) = - 1,64 ( from z-table)
MOE = z(c)*√(p*q)/n
MOE = 1,64 * √ ( 0,092*0,908)/500
MOE = 1,64 *√0,08353/500
MOE = 1,64 * 0,0129
MOE = 0,021
Then CI = 90 % is:
CI = ( 0,12 - 0,021 < P < 0,12 + 0,021 )
CI = ( 0,099 ; 0,141)
We have with 90 % of confidence for finding the value of p in the interval
Test Hypothesis
Null Hypothesis H₀ p = p₀
Alternative Hypothesis Hₐ p < p₀
we have for α = 0,1 z(c) = - 2,32 from z table
And z(s) = ( p - p₀ ) / √ (p*q)/n
z(s) = ( 0,092 - 0,12 ) / √(0,092*0,908)/500
z(s) = - 0,028 / 0,0129
z(s) = - 2,17
Comparing z(s) and z(c) we see that
|z(s)| < |z(c)|
So z(s) is in the acceptance region. We can support the claim that the percentage in the State University is the same than that of the Departament of Education
A bag of rare spice that weighs 3/4 pounds will be split equally among 36 people. How much spice will each person get?
Answer:
Each person will get 1/48 of a pound of spice
Answer:
1/48 pound
Step-by-step explanation:
You have to do 3/4 divided by 36, so you get
[tex]\frac{3}{4} / 36 = \frac{3}{4} * \frac{1}{36} = \frac{1}{48}[/tex]
Given f(x) = -4x + 7 and g(x) = x3, choose
the expression for (fºg)(x).
Answer:
Solution,
Given,
f(x) = -4x + 7
g(x) = [tex]x^{3}[/tex]
Now,
fog(x) = f{g(x)} = f([tex]x^{3}[/tex]) = -4[tex]x^{3}[/tex]+7
NEED HELP SOON ON A TIME LINE
What is the value of y when x= 5?
Answer:7
Step-by-step explanation:7
I will give brainiest to whoever answers correctly !!
Answer:
She will have to pay back the principal amount of $28,000 plus $728.00 in interest for a total of $28,728.00
Step-by-step explanation:
Interest = principal x interest rate x time period
Interest = 28,000 x .013 x 2
Interest = $728
Total payback amount = principal + interest
Total payback amount = 28000 + 728
Total payback amount = $28,728.00
I hope this helps!
-TheBusinessMan
I will give brainiest to whoever answers correctly !!
Answer:
April 25 150 days
Step-by-step explanation:
(x3 + 3x² + x + 6) + (x - 1)
Answer:
x^3 + 3x^2 + 2x + 5
Step-by-step explanation:
combine like-terms
I will give brainiest to whoever answers correctly !!
Answer:
$10511.075
Step-by-step explanation:
Given :
Interest rate, r =. 1.25% = 0.0125 compounded semianually
Principal = 10000
Number of years, t = 4 years
Compound interest :
A = P(1 + r/n)^nt
A = final amount ; n = number of compounding times per period
n = 2 (quarterly)
A = 10000(1 + 0.0125/2)^2*4
A = 10000(1 + 0.00625)^8
A = 10000(1.00625)^8
A = 10000 * 1.051107529
A = 10511.075
Final. Amount to. Be repaid = $8515.13
A teacher is 5 feet 8 inches tall and she shrinks to 9 inches. How tall will her pencil be if it undergoes the same scale shrink and was originally 12 inches?
A) 1.59 inches
B) 1.86 inches
C) 2.68 inches
D) 6.8 inches
Answer:
c
Step-by-step explanation:
2.68
A bowl holds the 10 pieces of fruit shown below.
If Jasmine writes the fraction of fruit that are apples and does not reduce the fraction, which of the following would be the numerator of the fraction?
Answer: 10
Step-by-step explanation: 10 is the total number of all the fruits so that is what you are dividing by
Answer:
Step-by-step explanation:
Which is the best way to describe 1-21? 1.the opposite of 2 2. point A 3. the distance between A and C 4. the distance between A and D
Answer:
c 4
Step-by-step explanation:
36 over 9 = g over 1
Answer:
4/1
Step-by-step explanation:
g is 4
Which of the following represents y as a function of x?
Answer:
The table only represent s y as function of x