The answer is 60 plz correct me
A rectangle has a height of 4 and a width of x2 + 3x + 2.
Express the area of the entire rectangle.
Expression should be expanded.
Hence, we know that area of rectangle is equals to the product of length and breadth.
Therefore, the area of rectangle is,
[tex] = 4 \times( {x}^{2} +3x + 2 ) \\ = 4({x}^{2} + 3x + 2) \\ = \green{ \boxed{4 {x}^{2} + 12x + 8}}[/tex]
Therefore, the answer is 4x² + 12x + 8.
Applicants to a psychology department have normally distributed GRE scores with a mean, LaTeX: \muμ, of 544 and a standard deviation, LaTeX: \sigmaÏ, of 103. What percentage of applicants scored between 500 and 700? Round to the nearest percent.A. -24% B. 78% C. 2296 D. 24% E. 5%
Answer:
The probability is P(500 < X < 700 ) = 0.60044
Step-by-step explanation:
From the question we are told that
The mean is [tex]\mu = 544[/tex]
The standard deviation is [tex]\sigma = 103[/tex]
Generally the percentage of applicant that scored between 500 and 700 is mathematically represented as
[tex]P(500 < X < 700 ) = P(\frac{500 - 544}{103} < \frac{X - \mu }{\sigma } < \frac{700 - 544}{103} )[/tex]
[tex]\frac{X -\mu}{\sigma } = Z (The \ standardized \ value\ of \ X )[/tex]
[tex]P(500 < X < 700 ) = P(-0.4272 < Z < 1.5146 )[/tex]
=> [tex]P(500 < X < 700 ) = P( Z< 1.5146 ) - P ( Z < -0.4272 )[/tex]
Generally from the z-table, the area under the normal curve to the left corresponding to 1.5146 and -0.4272 is
P( Z< 1.5146 ) = 0.93506
P ( Z < -0.4272 ) = 0.33462
So
P(500 < X < 700 ) = 0.93506 - 0.33462
=> P(500 < X < 700 ) = 0.60044
2. An inaccurate clock loses
3 1/2
minutes every 8 hours. How much time will the clock lose in one
week?
Answer: 588 min
24x7 x3.5
pls help and explain if u can
Answer:
Step-by-step explanation:
6 - 3(x + 1) = 18 ⇔ 3 - 3x = 18 ⇒ x = 5
y - 6 = 17 ⇒ y = 23
z - 3 = 4z ⇒ z = - 1
18 - 3(0) = 9w ⇒ w = 2
========================
I'm going to solve for you some another question you asked, I did not see the right answer... :)
There are two scenarios, because the expression under the module can be positive and can be negative: | 3x + 2| - 2 > 3 ⇔ | 3x + 2| > 5
(1). If (3x + 2) is positive then
3x + 2 > 5 ⇒ x > 3
(2). If (3x + 2) is negative then
- (3x + 2) > 5
- 3x - 2 > 5
- 3x > 7 ⇒ x < - [tex]\frac{7}{3}[/tex]
The final answer is x < - 2.3 or x > 1
Someone please help ASAP will mark as Brainliest
Please help with this I need to get my math done!
Someone please help thank you
he product (33/4) x (2/11) gives the price of one kilogram of flour.
True of flse
Answer:
nope thx for the points tho
Step-by-step explanation:
How much time will it take for a bug to travel 5 meters across the floor if it is traveling a 1m/s
Answer:
5 sec
Step-by-step explanation:
1m=1 sec
5m=5 x 1
=5
Answer:
5 sec
Step-by-step explanation:
speed= distance/ time
1 m/s = 5 m/ time
time= 5 sec
Suppose Carla has $7000 to invest. Which investment yields the greater return over 4 years: 7% compounded quarterly or 6.85% compounded monthly?
a. They are the same.
b. The rate of 7% compounded quarterly is better.
c. The rate of 6.85% compounded monthly is better.
Answer:
The correct answer is B. The rate of 7% compounded quarterly is better.
Step-by-step explanation:
In the case of investment at 7% compounded quarterly, the final result after 4 years of investment arises from the following calculation:
X = 7000 x (1 + 0.7 / 3) 4x3
X = 9,232.16
Therefore, after 4 years of investment, the amount in the account would be $ 9,232.16.
In turn, in the case of the investment at 6.85% compounded monthly, the final result after the same investment period arises from the following calculation:
X = 7000 x (1 + 0.685 / 12) 4x12
X = 9,199.33
Thus, in this case, the amount in the account after 4 years of investment would be $ 9,199.33.
3x>9
Which of the following sentences is the word equivalent of the expression above?
The product between 3 and a number is no less than 9
The product between 3 and a number is greater than 9
The product between 3 and a number is no more than 9
The product between 3 and a number is less than 9.
Answers to the entire test:
Step-by-step explanation:
1. C. a<b
2.A. x >_0
3. A. The product between 3 and a number is greater than 9
4. B. The difference of 16 and the product of 5 and a number is no less than 1
5.B. 6(x-4)<_20
Which property would you use to simplify the following expression 4(y+5)
16.43 in word form math
Answer:
Sixteen and forty-three hundredths
Step-by-step explanation:
Convert: 7 pt 1 c = [] c
Answer:
Pint value is 1 and cup value is 1 pt = 2 c. Sorry if I am wrong!
Step-by-step explanation:
Savannah buys a $40 gift card to her favorite smoothie shop. Each smoothie costs $4. She wants to have at least $10 left on her card at the end of this month. The inequality below relates x, the number of smoothies she could buy between now and the end of this month with her gift card balance. 40 minus 4 x greater-than-or-equal-to 10 Which best describes the number of smoothies Savannah can buy?
Answer:
3 smothies
Step-by-step explanation:
40-10=30$
30÷4=7and she is left with 2 dollar extras
Cara deposited $200 dollars into her savings account bringing her balance up to $450.
Which equation can be used to find, x, the savings account balance before the $200 deposit?
Answer:
$250 dollars was the original amount of money before she deposited the extra $200 dollars.
Step-by-step explanation:
450 - 200= $220 dollars
220+200= $420 dollars
220+30= $250 dollars
250+200= $450 dollars
$250 dollars is the total amount of money that was originally deposited into her savings account.
Answer:
x + 200 = 450
Step-by-step explanation:
Since clara deposited $200 into her savings account and it brought her account up to $450, to find the answer you would add "x" with 200 and you should get 450 which means x= 250. we can check our answer by solving : 450-200 and you should get 250 for your answer so the answer is
you had no answer choices so typed it out i have the same question on my test and i knew the answer so i decided to help :D :) <3
Answer in Slope form
Answer:
y=1/4x+3
Step-by-step explanation:
In a population that is normally distributed that has a mean of 45 with a standard
deviation of 5, what is the probability that a randomly selected object is over 52?
0.0001
0.0808
0.0501
0.9542
HELP PLEASE I BEG U
A motorcycle rental agency uses the formula shown to calculate the price to rent a motorcycle for one day, where P is the price, and m is the number of miles driven
P(m) = 45 +0.15m
The domain of this equation is m >0. Why is this the case?
A The number of miles driven will always be greater than or equal to zero and cannot be less than zero.
B.The price to rent the motorcycle will always be greater than or equal to zero.
C.The domain of any linear function with a decimal slope is never zero.
D.This is incorrect. The domain of any linear function is all real numbers and is not dependent on context.
9514 1404 393
Answer:
A The number of miles driven will always be greater than or equal to zero and cannot be less than zero.
Step-by-step explanation:
The domain of a function such as this is the set of values that realistically may be given as input to the function. We know of no way to ride a motorcycle a negative number of miles, so the domain must be non-negative numbers.
__
In real life, the domain is likely non-negative integers.
The length of human pregnancies from conception to birth varies according to a distribution that is approximately Normal with mean 266 days and standard deviation 16 days. The probability that the average pregnancy length for nine randomly chosen women exceeds 268 days is about a) 0.35 b) 0.40 c) 0.65 d) 0.27
Answer:
The probability is [tex]P( \= X > 268 ) =0.35376[/tex]
Step-by-step explanation:
From the question we are told that
The mean is [tex]\mu = 266[/tex]
The standard deviation is [tex]\sigma = 16[/tex]
Generally the standard error of mean is mathematically represented as
[tex]\sigma_{\= x} = \frac{\sigma}{\sqrt{n} }[/tex]
=> [tex]\sigma_{\= x} = \frac{16}{\sqrt{9} }[/tex]
=> [tex]\sigma_{\= x} = 5.33[/tex]
Generally the probability that the average pregnancy length for nine randomly chosen women exceeds 268 days is mathematically represented as
[tex]P( \= X > 268 ) = P (\frac{ \= x - \mu }{ \sigma_{\= x}} > \frac{268 - 266}{5.33 } )[/tex]
[tex]\frac{\= X -\mu}{\sigma_{\= x} } = Z (The \ standardized \ value\ of \ \= X )[/tex]
[tex]P( \= X > 268 ) = P (Z > 0.3752 )[/tex]
From the z table the area under the normal curve to the right corresponding to 0.3752 is
P (Z > 0.3752) = 0.35376
So
[tex]P( \= X > 268 ) =0.35376[/tex]
Which expression is equivalent to 6x2 – 19x – 55?
Answer:
(6x + 11)(x – 5)
Step-by-step explanation:
Trust me!
Mark up is 40% and the cost to store is 162 dollars what is the selling price
Answer:
$64.8
Step-by-step explanation:
hihihihihihihihihihihihihi
What is a combination of operations on letters and numbers?
A: Expression
B: Term
C: Factor
D: Variable
Answer:
A. Expression
Step-by-step explanation:
In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.
you and your friend are playing a number-guessing game. You ask your friend to think of a positive number, square the number, multiply the results by 2 and then add 3. your friend's final answer is 53.
Answer:
It is 5....
Step-by-step explanation:
10 workers produce 30 complex elements in 10 days. In how many days would 5
workers produce 24 elements?
Given:
10 workers produce 30 complex elements in 10 days.
To find:
The number of days, in which 5 workers produce 24 elements.
Solution:
According to the question, let as assume
[tex]n_1=10[/tex]
[tex]w_1=30[/tex]
[tex]d_1=10[/tex]
[tex]n_2=x[/tex]
[tex]w_2=24[/tex]
[tex]d_2=5[/tex]
where, n is number of workers, w is work done, and d is number of days.
We have, a formula,
[tex]\dfrac{n_1\times d_1}{w_1}=\dfrac{n_2\times d_2}{w_1}[/tex]
Substituting the values in the above formula, we get
[tex]\dfrac{10\times 10}{30}=\dfrac{x\times 5}{24}[/tex]
[tex]\dfrac{10}{3}=\dfrac{5x}{24}[/tex]
Isolate variable x.
[tex]\dfrac{10}{3}\times \dfrac{24}{5}=\dfrac{5x}{24}\times \dfrac{24}{5}[/tex]
[tex]\dfrac{240}{15}=x[/tex]
[tex]16=x[/tex]
Therefore, the required number of days is 16.
i need help with this
Circle R is shown. Line segments Q R and S R are radii. The length of Q R is 18. Sector Q R S is shaded.
The measure of central angle QRS is StartFraction 8 pi Over 9 EndFraction radians.
What is the area of the shaded sector?
36Pi units squared
72Pi units squared
144Pi units squared
324Pi units squared
The area of the sector in circle R is: C. 144Pi units squared
How to Find the Area of a Sector of a Circle?Area of sector = (1/2) × r²θ.
Given the parameters:
θ = 8π/9Radius (r) = 18Plug in the values
Area of sector = (1/2) × (18²)(8π/9)
Area of sector = 144π units²
Learn more about the area of a sector on:
https://brainly.com/question/22972014
#SPJ5
During a review game, Mr. TooMuch's class correctly answered 68 questions on the first try. If there were 74 questions in the game, at what rate were questions answered correctly on the first try? Express your answer as a decimal in the form of 0.ABC.
If necessary, round to the nearest thousandth.
the term to term rule of a sequence is divide by 2
write the slope-intercept form of the equation of the equation. PLEASE HELP. i will give brainliest.
Answer: Slope intercept form: y = mx + b
A. y = 4/7 x + 27/7
Screenshot attached.
Step-by-step explanation: Slope is m. In this example, it is 4/7. The y-intercept is b. in this example it is 2 in the question and 27/7 in the answer choice.
First clue why A is the answer: the slope must be the same if the lines are parallel