Answer:
81.85%
Step-by-step explanation:
We have the following information:
mean = m = 52000
standard deviation = sd = 12000
a = 40000
b = 76000
we need to find the probability between a and b, that is:
P (a <x <b) = P (40,000 <x <76000)
P [(40000 - m) / sd <(x - m) / sd <(76000 - m) / sd]
replacing
P [(40000 - 52000) / 12000 <z <(76000 - 52000) / 12000]
P (-1 <z <2)
P (z <= -1) - P (z <= 2)
We look for this value of z, in the attached table:
0.9772 - 0.1587
P = 0.8185
In other words, the probability is 81.85%
Answer quick for brainliest
Answer:
x=-15
x=6
x=3
x=-21
Step-by-step explanation:
Hurry 100 points for correct answer
Solve the equation. Identify any extraneous situations.
w=√7w
–7 is a solution of the original equation. 0 is an extraneous solution.
7 is a solution of the original equation. 0 is an extraneous solution.
0 is a solution of the original equation. 7 is an extraneous solution.
0 and 7 are solutions of the original equation.
Answer:
d)0 and 7 are solutions of the original equation.
Step-by-step explanation:
Let's solve your equation step-by-step.
w=√7w
Step 1: Flip the equation.
√7w=w
Step 2: Solve Square Root.
√7w=w
7w=w2(Square both sides)
7w=w2
7w−w2=w2−w2(Subtract w^2 from both sides)
−w2+7w=0
w(−w+7)=0(Factor left side of equation)
w=0 or −w+7=0(Set factors equal to 0)
w=0 or w=7
Check answers. (Plug them in to make sure they work.)
w=0(Works in original equation)
w=7(Works in original equation)
25% equals what decimal
Answer:
0.25
Step-by-step explanation:
25% can be written as the decimal 0.25. The word 'percent' means 'per 100. ' So, 25 percent is the same as 25 out of 100.
Answer:
[tex]25\% = \frac{25}{100 } \\ \\ 25\% = 0.25[/tex]
An insurance company has a merit rating system for customers who have not filed a claim in the previous year. For each year that a customer does not file a claim, their rate is reduced by 10%, and a credit of $5 is awarded. If a customer did not file a claim in the nth year, which equation shows the customer's rate in the (n + 1)th year as a function of their rate in the nth year?
A.
f(n + 1) = f(n) - 0.1f(n) - 5
B.
f(n + 1) = f(n) - 0.1f(n) + 5
C.
f(n + 1) = f(n) + 0.1f(n) + 5
D.
f(n + 1) = f(n) - 0.1f(n) - 10
Answer: B
Step-by-step explanation:
For each year that a customer does not file a claim, their rate is reduced by 10%,
This means that every year that passes, we have a subtraction of a 10% (or 0.1 in decimal form)
And also for each yearm we have a credit of $5 awarded, this means that we have an addition of $5.
Then the relation is:
f(n + 1) = f(n) - 0.10*f(n) + $5
The correct option is B
In a lab experiment, 590 bacteria are placed in a petri dish. The conditions are such
that the number of bacteria is able to double every 24 hours. How many bacteria
would there be after 13 hours, to the nearest whole number?
Answer:
There would be 859 bacteria after 13 hours.
Step-by-step explanation:
The population of bacteria after t hours is given by the following equation:
[tex]P(t) = P(0)e^{rt}[/tex]
In which P(0) is the initial population and r is the growth rate.
The number of bacteria is able to double every 24 hours.
This means that [tex]P(24) = 2P(0)[/tex]. So
[tex]P(t) = P(0)e^{rt}[/tex]
[tex]2P(0) = P(0)e^{24r}[/tex]
[tex]e^{24r} = 2[/tex]
[tex]\ln{e^{24r}} = \ln{2}[/tex]
[tex]24r = \ln{2}[/tex]
[tex]r = \frac{\ln{2}}{24}[/tex]
[tex]r = 0.0289[/tex]
590 bacteria are placed in a petri dish.
This means that P(0) = 590. So
[tex]P(t) = P(0)e^{rt}[/tex]
[tex]P(t) = 590e^{0.0289t}[/tex]
How many bacteria would there be after 13 hours, to the nearest whole number?
This is P(13).
[tex]P(t) = 590e^{0.0289t}[/tex]
[tex]P(13) = 590e^{0.0289*13} = 859[/tex]
There would be 859 bacteria after 13 hours.
A cylinder has surface area of 256 square millimeters and a height of 8 millimeters. What is the
diameter in millimeters?
Answer: 7.07
Step-by-step explanation:
Answer:
32
Step-by-step explanation:
Helppp I really need help in this one
Answer:
m = 24
Step-by-step explanation:
(m + 7) + 2m + 11 = 90
3m + 18 = 90
3m = 72
m = 24
Hurry 50 points for correct answer
Solve the equation. Identify any extraneous situations.
x=√6x+7
1 is a solution to the original equation. The value –7 is an extraneous solution.
7 is a solution to the original equation. The value –1 is an extraneous solution.
7 and –1 are solutions.
7 and 1 are both extraneous solutions.
Answer: "7 is a solution to the original equation. The value –1 is an extraneous solution."
Step-by-step explanation:
The equation [tex]x=\sqrt{6x+7}[/tex] can be solved by squaring both sides:
[tex]x^2 = 6x + 7\\\\x^2 - 6x - 7 = 0\\\\(x-7)(x+1) = 0[/tex]
We can see that -1 and 7 are solutions, but make sure they are not extraneous by substituting them in the original equation:
[tex]1 = \sqrt{-1}\\ 7 = \sqrt{49}[/tex]
The square root of 49 equals 7, but the square root of -1 is an imaginary number.
The correct choice is "7 is a solution to the original equation. The value –1 is an extraneous solution."
Answer: "7 is a solution to the original equation. The value –1 is an extraneous solution."
Step-by-step explanation:
I got D is this correct?
Answer:no
Step-by-step explanation:
Answer:
C. x [tex]\geq[/tex] 0
Step-by-step explanation:
The answer is C, x is greater than or equal to zero, because that is the only answer that makes sense.
A) x can also be equal to 0, so this answer is wrong
B) x can't be -2, and it definitely can't be less than -2, so that's wrong.
D) Again, x can't be -2, or -1. It can't be any negative number because 4 * (a negative number) would put a negative sign under the square root. You can't take square roots of negative numbers.
Hope this is correct and that it helps you!
Mrs. Allard asked her students to identify which of the polynomials below are in standard form and explain why.
1. 15x4 - 6x + 3x2 - 1
II. 12x3 + 8x + 4
III. 285 + 8x2 + 10%
Which student's response is correct?
Answer:
Only II. is written in standard form
Step-by-step explanation:
The three polynomials given are:
I. [tex]15x^4 - 6x + 3x^2 - 1[/tex]
II. [tex]12x^3 + 8x + 4[/tex]
III. [tex]285 + 8x^2 + 10%[/tex]
A polynomial is said to be in standard form when the variables are written in terms of descending powers i.e. the term with the highest power first, followed by the next and so on.
Examining the three polynomials I, II and III, there is only one which follows this rule and that is:
II. [tex]12x^3 + 8x + 4[/tex]
The term with the highest power (3) came first, followed by the term with the next degree of power (1) and the last term with degree of power as 0.
Hence, only II. is written in standard form.
Only the second polynomial, 12x3 + 8x + 4, is in standard form because its terms are arranged in descending order of degrees. The first polynomial is not in standard form due to the incorrect order of terms by degree. The third expression contains a percentage sign (%) and wasn't written in order of descending degree, hence it doesn't qualify as a polynomial in standard form.
Explanation:In mathematics, a polynomial is said to be in standard form when its terms are written in descending order by degree. The degree of a term is the exponent used in the term. Let's evaluate each option:
15x4 - 6x + 3x2 - 1: This polynomial is not in standard form because the terms are not arranged in descending order of degrees. Properly ordered, it would read 15x4 + 3x2 - 6x - 1.12x3 + 8x + 4: This is in standard form because the terms are arranged in descending order of degrees from 3 to 0.285 + 8x2 + 10%: This is not a polynomial in the standard sense of the word due to the presence of the percentage sign (%). Also, it was not written in descending order of degrees.Learn more about Polynomials in Standard Form here:https://brainly.com/question/32213698
#SPJ3
What’s the length of a leg of an isosceles right triangle whose hypotenuse is 100?
Answer:
The length of a leg of the isosceles triangle is 50√(2
Step-by-step explanation:
Since it is an isosceles right triangle, the length of the adjacent and the opposite is the same value which is let’s say x.
Mathematically; the square of the hypotenuse equals the square of the adjacent plus the square of the opposite according to Pythagoras.
Thus;
100^2 = x^2 + x^2
10000 = 2x^2
divide the through by 2, we have;
x^2 = 10,000/2
x^2 = 5,000
x = √5,000
x = √2,500 * 2
x = 50√2
Consider this equation:
–2x – 4 + 5x = 8
Generate a plan to solve for the variable. Describe the steps that will be used.
Answer:
Step-by-step explanation:
Answer:
Solve for the (number or thing that changes), so you need to (separate far from others)/get x by itself
-2x - 4 + 5x = 8 First I want to combine like terms (-2x and 5x)
-4 + 3x = 8 (Add 4 on both sides)
3x = 12 Then divide 3 into both sides to get x by itself
x = 4
Combine like terms (add the 5x to the -2x to get 3x). Move the -4 to the other side to get 3x= 12. Divide both sides by 3 to get x=4. Apply the addition property of (a state where all things are equal), Apply the division property of (a state where all things are equal) to divide both sides by 3, Finally, check the solution by substituting 4 into the original equation.
*PLEASE MAKE TEXT INTO OWN WORDS IF POSSIBLE
1 Quincy created the table of x and y
values shown here.
1
2
3
y
10
8
6
4
Which equation represents the relationship
between the x values and the y values in
the table?
A y=-2x + 12
B y= 5x + 5
Cy= 4x+6
D y=-2x - 12
Final answer:
The correct equation representing the relationship between x and y values is y = -2x + 12. This is found by recognizing the pattern in the table and using the slope-intercept form to find the slope and y-intercept. Thus, option A is correct.
Explanation:
The student is asking to determine which equation represents the relationship between the x values and the y values in the given table. To find the correct equation, we examine the pattern of changes in the x and y values.
The y values decrease by 2 as the x values increase by 1, indicating a slope of -2.
Starting with the x value of 1, which corresponds to a y value of 10, we apply the slope-intercept form, which is y = mx + b, where m is the slope and b is the y-intercept.
We find that the y-intercept, b, must be 12 to satisfy the equation when x is 1 (10 = -2(1) + b).
Thus, we can conclude that the equation representing the relationship between x and the y values is y = -2x + 12, which is option A.
This type of equation is a linear equation and the slope-intercept form is particularly useful for quickly identifying the slope and y-intercept of the line represented by the equation.
Mei-ling invested $2,000 in a simple interest account for 3 years. At the end of 3 years, she had earned $150 in interest. What was the simple interest rate of the account?
Answer:
2.5%
Step-by-step explanation:
Simple Interest formula : V = P + P*r*t
I = Prt
$150 = $2000*r * 3
r = $150 / ($2000*3) = 5/200 = 0.025 = 2.5%
What is the area of the following circle? Please tell me how you did it
Help out please!!!!!!
Answer:
6.4
Step-by-step explanation:
A^2+B^2=C^2
(5*5)+(4*4)=C^2
25+16=[tex]C^{2}[/tex]
41=[tex]C^{2}[/tex]
[tex]\sqrt{41}[/tex]=[tex]\sqrt{C^{2} }[/tex]
c= 6.4
how much will you have to invest to have $6,000 in 4 years 3 months at 4 1\5% annual interest, compounded monthly.
$7,185.50
$5,020.71
$1,016.90
$4,957.33
Answer:
You have to invest $5,020.71 to have $6,000 in 4 years 3 months at 4 1\5% annual interest, compounded monthly.
Step-by-step explanation:
Let the principal be x
Amount = $6000
Time = 4 years 3 months = [tex]4 years +\frac{3}{12} years = 4.25 years[/tex]
Rate of interest = [tex]4 \frac{1}{5}\% = \frac{21}{5}\%[/tex]
No. of compounds per year = 12
Formula:[tex]A=P(1+\frac{r}{n})^{nt}[/tex]
[tex]6000=P(1+\frac{21}{500 \times 12})^{12 \times 4.25}[/tex]
[tex]\frac{6000}{(1+\frac{21}{500 \times 12})^{12 \times 4.25}}[/tex]=P
P=$5,020.71
Hence You have to invest $5,020.71 to have $6,000 in 4 years 3 months at 4 1\5% annual interest, compounded monthly.
Put in Order from least to greatest -10,8,-25,0,-18
Answer:
-25,-18,-10,0,8
Step-by-step explanation:
Answer:
-25,-18,-10,0,8
Step-by-step explanation:
The more negative it is, the more less it is...so if you put them from least to greatest...it is...-25,-18,-10,0,8
(a) Give an inscribed angle:
(b) Give a minor are:
(c) Give a semicircle:
(d) Find m GH
(e) Find m GJI
A total of 13.2 inches of snow fell during a snowstorm that lasted 5.5 hours. The same amount of snow fell each hour of the storm. How many inches of snow fell each hour? Enter your answer as a decimal in the box.
Answer:
2.4 inches per hour
Step-by-step explanation:
A total of 13.2 inches of snow fell during a snowstorm that lasted 5.5 hours and the same amount of snow fell each hour of the storm.
This means that there was a constant rate of snow fall.
To find how many inches of snow fell each hour, we divide the amount of snow fall by the amount of time that the snowstorm lasted.
That is:
[tex]R = \frac{13.2}{5.5}[/tex]
R = 2.4 inches per hour
This means that 2.4 inches of snow fell each hour during the snowstorm.
Answer:
2.4 inches
I did the quiz
Jeremy's scores for the first 20 times he played the card game, Clubs and Swords, are listed.
50, 199, 246, 356, 89, 210, 391, 325, 273, 250, 100, 172, 123, 167, 194, 172, 23,426, 75, 239. On a separate sheet of paper, create a frequency table and a histogram to display Jeremy's scores. Be sure to name your histogram.
Step-by-step explanation:
Please have a look at the attached photo.
This question must be answered through a picture for your understanding
Hope it will find you well.
What value of x will make parallelogram ABCD a rhombus?
x = ?
Answer:
x=34
Step-by-step explanation:
3x-12=90
3x-12+12=90+12
3x=102
3x/3 = 102/
x=34
Answer:
x = 34Step-by-step explanation:
From the picture we have
AD = CD = BC = AB
it's enough to say that this quadrangle is a rhombus.
The diagonals in each rhombus are perpendicular and divide to half.
Therefore we have the equation:
3x - 12 = 90 add 12 to both sides
3x - 12 + 12 = 90 + 12
3x = 102 divide both sides by 3
3x : 3 = 102 : 3
x = 34
A rectangular prism has a link of 8 cm in width of 2 cm in a height of 5 cm what is the service around the rectangular prism
Answer:
132 square centimeters
Step-by-step explanation:
The surface area of a rectangular prism can be calculated with the formula [tex]2lh+2lw+2hw[/tex] where l represents length, h represents height, and w represents width. In this case, the equation is [tex]2\cdot 2\cdot 8 + 2\cdot 2\cdot 5 + 2\cdot 8\cdot 5=132[/tex] square centimeters. Hope this helps!
A movie complex is showing the same movie in three theaters. In theater A, 72 of the 90 seats are taken. In theater B, 51 seats are taken and 9 seats are empty. In theater C, 28 of the 80 seats are empty. Which theater has the greatest percent of its seats taken?
Answer:
The answer is A
Step-by-step explanation:
hope this helps
rry YUVIVU W
ulluDIUTUMIT
Question 3 of 10
2 Points
What would be the most logical first step for solving this quadratic equation?
x2 + 2x-11 = 4
Answer:
Subtract 4 from both sides
Step-by-step explanation:
Ap ex
What is the least common multiple of 7,13,14
Answer:
182
Step-by-step explanation:
You can start by realizing that 14 is 7*2, and that that is already a common multiple, meaning that you can forget about 7 entirely. Now, because 13 is prime, the least common multiple of 13 and 14 will just be 13*14=182. Hope this helps!
Answer:
182
Step-by-step explanation:
The least common multiple (LCM) of two or more non-zero whole numbers is the smallest whole number that is divisible by each of those numbers. In other words, the LCM is the smallest number that all of the numbers divide into evenly.
I WILL DO ANYTHING PLZ HELP MEE
Find the equation for the table.
Answer:
y = 5 * (1/2)^x
Step-by-step explanation:
This is an exponential function
y =ab^x
where a is the initial value ( where x = 0)
a = 5
y = 5 * b^x
Pick a point to determine b
(1,2.5)
2.5 = 5 * b^1
2.5 = 5 *b
Divide each side by 5
2.5/5 = b
b = 1/2
y = 5 * (1/2)^x
Find m∠7 if m∠8 = 119°
m∠7 = ???
Answer:
119
Step-by-step explanation:
it will be the same as 8 because they are adjacent..
what is 7.849+0.09? can you help me find the answer?
Answer:7.939
Step-by-step explanation:
A packet of 8 pens costs £1.84 how much does each pen cost
Answer:
23p
Step-by-step explanation:
Pens : Cost
8 : £1.84
divide each by 8
1 pen = £0.23 = 23p