Answer:
[tex]8.182X10^8 $pounds[/tex]
a=8.182 and b=8
Step-by-step explanation:
Weight of the Empire State Building =[tex]7.3X 10^8[/tex] pounds.
Weight of the One World Trade Center building= 88,200,000 pounds.
=[tex]8.82 X 10^7[/tex]
The addition of the two:
[tex]=7.3X 10^8+8.82 X 10^7\\$To make it easier to add, express both as powers of 8\\=7.3X 10^8+0.882 X 10^8\\=(7.3+0.882)X10^8\\=8.182X10^8 $ pounds[/tex]
Comparing with the form: [tex]aX10^b[/tex]
a=8.182 and b=8
Two solutions of salt water contain 0.04% and 0.2% salt respectively. A lab technician wants to make 1 liter of solution which contains 0.12% salt. How much of each solution should she use?
x = amount (in L) of 0.04% solution
y = amount (in L) of 0.2% solution
x + y = 1
Each liter of p% salt solution contributes 0.01*p L of salt to the mixture. In the new solution, the lab tech wants to end up with a concentration of 0.12%, which comes out to 0.0012 * (1 L) = 0.0012 L of salt:
0.0004x + 0.002y = 0.0012
Solve for y in the first equation:
y = 1 - x
Substitute this into the other equation and solve for x, then y:
0.0004x + 0.002(1 - x) = 0.0012
0.0008 = 0.0016x
x = 0.5 L
y = 1 - 0.5 = 0.5 L
what is the average rate of change for the function f(x)=x^2+4 for the domain of -2 to 4
Answer:
2
Step-by-step explanation:
For a quadratic function the average rate of change on an interval is the rate of change at the midpoint of the interval. The rate of change of a function is given by its derivative.
The derivative of f(x) = x^2 is f'(x) = 2x. The midpoint of the interval is (4+(-2))/2 = 1. Then the average rate of change is ...
f'(1) = 2(1) = 2
The average rate of change of f(x) on [-2, 4] is 2.
__
Alternate solution
The average rate of change is the slope of the line between the end points of the interval:
m = (y2 -y1)/(x2 -x1)
m = (f(4) -f(-2))/(4 -(-2)) = (20 -8)/(6) = 2
The average rate of change on [-2, 4] is 2.
_____
The attached graph shows the points on the curve and a line with slope 2 between them. It also shows the various slope calculations.
Using equivalent ratios, which statements are true about the cost per magnet? Check all that apply.
The cost of 2 magnets is $1.
The cost of 9 magnets is $3.
The cost of 10 magnets is $3.
The cost of 4 magnets is S2
The cost of 6 magnets is $2.
The cost of 3 magnets is $1.
Answer:
The true statements are:
The cost of 9 magnets is $3.
The cost of 6 magnets is $2.
The cost of 3 magnets is $1.
Step-by-step explanation:
equivalents ratios are two or more ratios that express the same relationship between the numbers involved. In order to calculate the equivalent ratios that are equal, when the numbers involved are divided, they ought to give the same result. In the answer chosen above the ratios in each case are equivalent because:
if the cost of 9 magnets is $3;
9 magnets = $3
∴ 1 magnet = 3/9 = $ 1/3 = 1:3
if the cost of 6 magnets is $2;
6 magnets = $2
1 magnet = 2/6 = $1/3 = 1:3
if the cost of 3 magnets is $1;
3 magnets = $1
∴ 1 magnet = $ 1/3 = 1:3
From the answers obtained, the equivalent ratio of 1 : 3 is the same in all case.
Please help worth 20 points!!
Answer:I would think u would
Step-by-step explanation:42,500×26
Answer:
1634.62$
Step-by-step explanation:
P=S/n
P=42500/26=1634.62
Given tan A = − 12/35 and that angle A is in Quadrant IV, find the exact value of sinA in simplest radical form using a rational denominator.
Answer:
Sin A= − 12/37
Step-by-step explanation:
tan A = − 12/35
Reason for minus sign is because of it's in the fourth quadrant.
12 = opposite
35 = adjacent
? = Hypotenuse
12² + 35² = hypotenuse ²
1369 = hypotenuse ²
hypotenuse = √1369
hypotenuse= 37
Sin = -12/37
Reason for minus sign is because of it's in the fourth quadrant.
Four people—Rob, Sonja, Jack, and Ang—enter their names into a drawing. The winner receives either a t-shirt or a mug, and which prize they receive is randomly selected.
What is the probability that either Ang wins and is given a mug, or Jack wins (and is given either prize)? Give the answer as a percent.
Answer:
3.125%Step-by-step explanation:
It is assumed the first winner is part of the second drawing as well
There are 4 people and two prizes
The probability of each person to win is 1/4
The first winner has 1/2 probability to get a mug
P(win and a mug) = 1/4*1/2 = 1/8 for AngThe second winner, if it is Jack, gets either prize
P(win and either prize) = 1/4The combined probability is:
1/8*1/4 = 1/32 = 0.03125 = 3.125%Answer:
The probability is 37.5%
Step-by-step explanation:
There are eight total outcomes, but we only need to focus on three. Ang winning a mug and Jack winning either a t-shirt or a mug, that makes three. Write that as a fraction: 3/8, and then divide. 3 divided by 8 gives us 0.375. But we need a percent so multiply that by 100, that now gives us 37.5.
So, the probability that either Ang wins and is given a mug, or Jack wins is 37.5%. If it makes you feel more confident in this, I put the same exact answer for my assessment and I got it correct.
Also, “The monks named me aOng.”
Sebastian got estimates from 7 companies for his kitchen remodel: $ 27,500 ; $31,000 ; $36,000 ; $92, 000; $29,000 ; $30,500 ; $28,500. Which measure of center best describe the data, is it the mean or the median?
We have been given that Sebastian got estimates from 7 companies for his kitchen remodel: $ 27,500 ; $31,000 ; $36,000 ; $92,000; $29,000 ; $30,500 ; $28,500. We are asked to find the best measure of center for the given data.
We can see that our given data set has a large valued data point that is $92,000.
We know that mean is very much affected by large valued outliers. The data point $92,000 will increase the mean. Therefore, mean is not a best measure of center for given data.
We know that median is very less affected by outliers, therefore, median will be best measure of center for the given data.
A researcher planned a study in which a crucial step was offering participants a food reward. It was important that three food rewards were equal in appeal. Thus, a pilot study was designed in which participants were asked which of the rewards they preferred. The observed frequencies are as follows:
Of the 60 participants, 16 preferred cupcakes, 26 preferred candy bars, and 18 favored dried apricots.
1. The appropriate statistical test for this problem is (be specific): ________.
2. What are the expected frequencies for this question?
3. What is the cutoff on the comparison distribution (step 3)?
4. What is the correct calculation for chi-square (step 4)?
Answer:
Step-by-step explanation:
Hello!
A pilot study was conducted to test if three food rewards are equally appealing to the participants.
Of 60 participants surveyed:
16 preferred cupcakes (CC)
26 preferred candy bars (CB)
18 preferred dried apricots (DA)
If the three types of food are equally appealing for the participants, you'd expect that their proportions will be equal: P(CC)=P(CB)=P(DA)= 1/3
1.
The objective of this pilot study is to test if the observed frequencies follow a theoretical model/ distribution. To analyze this, you have to apply a Chi Square Goodness to Fit test. [tex]X^2=sum \frac{(O_i-E_i)^2}{E_i} ~~X^2_{k-1}[/tex] Where k= number of categories of the variable.
For this example the statistical hypotheses are:
H₀: P(CC)=P(CB)=P(DA)= 1/3
H₁: At least one of the proportions isn't equal to the others.
2.
To calculate the expected frequencies for each category you have to use the formula: [tex]E_i= n* P_i[/tex] where Pi represents the theoretical proportion for the i category, stated in the null hypothesis.
[tex]E_{CC}= n* P(CC)= 60*1/3= 20[/tex]
[tex]E_{CB}= n*P(CB)= 60*1/3= 20[/tex]
[tex]E_{DA}= n* P(DA)= 60* 1/3= 20[/tex]
3.
The cutoff or critical value indicates the beginning of the rejection region for the hypothesis test. For the Chi-Square tests, the rejection region is always one-tailed to the right, meaning that you'll reject the null hypothesis if the value of the statistic is big. For the goodness to fit test you have k-1 degrees of freedom, so the critical value will be:
Assuming α: 0.05
[tex]X^2_{k-1;1-\alpha /2}= X^2_{2;0.975}= 7.378[/tex]
The rejection region is then X²₂ ≥ 7.378
4.
[tex]X^2_{H_0}= \frac{(O_{CC}-E_{CC})^2}{E_{CC}} + \frac{(O_{CB}-E_{CB})^2}{E_{CB}} + \frac{(O_{DA}-E_{DA})^2}{E_{DA}} = \frac{(16-20)^2}{20} +\frac{(26-20)^2}{20} +\frac{(18-20)^2}{20}= \frac{14}{5}= 2.8[/tex]
I hope this helps!
Ramesh examined the pattern in the table. Powers of 7 Value 7 Superscript 4 2,401 7 Superscript 3 343 7 Superscript 2 49 7 Superscript 1 7 7 Superscript 0 1 7 Superscript negative 1 StartFraction 1 Over 7 EndFraction Ramesh says that based on the pattern 7 Superscript negative 5 = negative 16,807. Which statement explains whether Ramesh is correct? Ramesh is correct because 7 Superscript negative 5 is equivalent to Negative 7 times (negative 7) times (negative 7) times (negative 7) times (negative 7), which has the same value as Negative 16,807. Ramesh is correct because as the exponents decrease, the previous value is divided by 7, so 7 Superscript negative 5 = 1 divided by 7 divided by 7 divided by 7 divided by 7 divided by 7 = negative 16,807. Ramesh is not correct because 7 Superscript negative 5 is equivalent to StartFraction 1 Over 7 Superscript 5 EndFraction, which has the same value as StartFraction 1 Over 7 Superscript 4 EndFraction divided by 7 = StartFraction 1 Over 7 cubed EndFraction = StartFraction 1 Over 343 EndFraction. Ramesh is not correct because as the exponents decrease, the previous value is divided by 7, so 7 Superscript negative 5 = 1 divided by 7 divided by 7 divided by 7 divided by 7 divided by 7 = StartFraction 1 Over 16,807 EndFraction. NEED HELP NOW PLEASE I HAVE ONLY SEEN WRONG ANSWERS
Answer:
D
Step-by-step explanation:
Answer:
D.- Ramesh is not correct because as the exponents decrease, the previous value is divided by 7, so 7^-5 = 1 ÷ 7 ÷ 7 ÷ 7 ÷ 7 ÷ 7 = 1/16,807.
A bag contains 5 quarters 2 dimes and 4 pennies what is probability Of picking a dime
Answer: 5/11
Step-by-step explanation:
The probability of picking a dime is [tex]\frac{2}{11}[/tex].
What is probability?The measure of happening or non-happening of the outcomes of a random experiment is called probability.
Probability formulaP(E) = Number of favorable outcomes/ total number of outcomes
Where,
P(E) is the probability of an event.
According to the given question.
Total number of quarters coins = 5
Total number of dimes coins = 2
Total number of pennies coins = 4
Therefore,
The total number of coins in a bag = 5 + 4 + 2 = 11
⇒ Total number of outcomes = 11
So, the probability of picking a dime coin is given by
P(E) = total number of dime coins/ total number of coins in a bag
⇒[tex]P(E) = \frac{2}{11}[/tex]
Hence, the probability of picking a dime is [tex]\frac{2}{11}[/tex].
Find out more information about probability here:
https://brainly.com/question/11234923
#SPJ3
Which two whole numbers is √20 between?
Answer:4 and 5
Step-by-step explanation:
√(20) is approximately 4.5 so it is between 4 and 5
HELP ME ASAP! Will give BRAINLIEST! Please read the question THEN answer correctly! No guessing. Check ALL that apply.
Answer:
B
Step-by-step explanation: it is a quadratic equation it can only have two intercepts
6th grade math help me :))
Answer:
(30*20)+200
Step-by-step explanation:
27 to 30
18 to 20
172 to 200
The equation of a circle is (x−2) 2 + (y−6) 2 =64 . What is the center and radius of the circle?
Answer:
The center is (2,6) and the radius is 8
Step-by-step explanation:
The answer is center: (2,6); radius: 8
Evaluate the related
series of each sequence
19, 28, 37, 46, 55
Answer: You add 9 each time
Step-by-step explanation:
19 + 9 = 28 + 9 = 37 + 9 = 46 + 9 = 55
hope this helps mark me brainliest if it did
Solve for e.
9e + 4 = -5e + 14 + 13e
Answer:
e = 10
Step-by-step explanation:
In this problem we are told to solve for e. This means we need to isolate the variable e, leaving it completely by itself on one side of the equation.
9e + 4 = -5e + 14 + 13e
We can do this multiple ways, but I will show you how I would do it.
First I would subtract 4 from both sides.
9e + 4 = -5e + 14 + 13e
9e = -5e + 14 + 13e - 4
We can simplify the right side of the equation down by subtracting four from 14.
9e = -5e + 10 + 13e
Next, let's simplify our algebraic expressions. We can subtract 5e from 13e (or add -5e to 13e whatever tickles your fancy)
-5e + 13e = 8e
9e = 8e + 10
Now we subtract algebraic expression 8e from both sides
9e - 8e = 10
All of our expressions with the variable e are now on one side but we aren't done yet. Compute 9e - 8e.
9e - 8e = 10
1e = 10
or
e = 10
We have isolated e! Our final answer is e = 10
(X-3)^3(x+3)(x+5)^2(x+8)
Answer:Simplifying
5(x + 2) = 3(x + 8)
Reorder the terms:
5(2 + x) = 3(x + 8)
(2 * 5 + x * 5) = 3(x + 8)
(10 + 5x) = 3(x + 8)
Reorder the terms:
10 + 5x = 3(8 + x)
10 + 5x = (8 * 3 + x * 3)
10 + 5x = (24 + 3x)
Solving
10 + 5x = 24 + 3x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-3x' to each side of the equation.
10 + 5x + -3x = 24 + 3x + -3x
Combine like terms: 5x + -3x = 2x
10 + 2x = 24 + 3x + -3x
Combine like terms: 3x + -3x = 0
10 + 2x = 24 + 0
10 + 2x = 24
Add '-10' to each side of the equation.
10 + -10 + 2x = 24 + -10
Combine like terms: 10 + -10 = 0
0 + 2x = 24 + -10
2x = 24 + -10
Combine like terms: 24 + -10 = 14
2x = 14
Divide each side by '2'.
x = 7
Simplifying
x = 7
Step-by-step explanation:
if a rectangular prism has a volume of 550 cm squared and its dimensions are all tripled, then what would be the new volume?
Answer:
The new volume would be 14,850cm³.
Step-by-step explanation:
The volume of a rectangular prism is:
[tex]V = l*w*h[/tex]
In which l is the length, w is the width and h is the height.
Dimensions tripled.
So [tex]l = 3l, w = 3w, h = 3h[/tex]
The modified volume will be:
[tex]V_{m} = 3l*3w*3h = 27*l*w*h = 27V[/tex]
Volume of 550 cm³ before the dimensions are tripled.
This means that [tex]V = 550[/tex]
New volume:
[tex]V_{m} = 27*550 = 14850[/tex]
The new volume would be 14,850cm³.
Some people take the early retirement option at age 62. According to the Social Security Administration, if you retire at age 62, your retirement benefits will be permanently reduced by 25%. If your monthly benefit, at full retirement age (67), would have been $1300 per month, and you retire at age 62, how much would you lose in total annual income over one year?
Answer:
$3900.
Step-by-step explanation:
If retirement is taken at the age of 67 years, income = $1300 per month.
% Loss, if retirement taken at the age of 62 years = 25% per month
Loss in dollars per month if retirement taken at the age of 62 years = 25% of Monthly income if retirement is taken at the age of 67 years
[tex]\Rightarrow \dfrac{25}{100} \times 1300\\\Rightarrow \dfrac{1300}{4}\\\Rightarrow 325 \$[/tex]
We know that there are 12 months in an year.
So, annual loss in total annual income over one year:
Loss in dollars per month [tex]\times[/tex] 12 :
325 [tex]\times[/tex] 12 = 3900$
Answer: $3,900
Step-by-step explanation:
What you usually make:
$1300 * 12 months = $15600
What you make with the cut:
$1300 * 0.75 = $975
* 12 months = $11700
15600-11700 = $3900
The Australian Open is the first of the four Grand Slam professional tennis events held each year. Victoria Azarenka beat Maria Sharapova to win the 2012 Australian Open women’s title. During the tournament Ms. Azarenka serve speed reached kilometers per hour. A list of the Women’s Singles serve speed for the 2012 Australian Open is provided below. Player Serve Speed (km/h) S. Williams 192 S. Lisicki 192 M. Keys 191 L. Hradecka 188 J. Gajdosova 187 J. Hampton 187 B. Mattek-Sands 185 F. Schiavone 185 P. Ormaechea 185 P. Parmentier 185 N. Petrova 183 G. Arn 183 V. Azarenka 182 A. Ivanovic 182 P. Kvitova 179 M. Krajicek 179 V. Dushevina 178 S. Stosur 176 S. Cirstea 176 M. Barthel 175
a. Compute the mean, variance, and standard deviation for the serve speeds.
b. A similar sample of the 20 Women’s Singles serve speed leaders for the 2011 Wimbledon tournament showed a sample mean serve speed of 182.5 kilometers per hour. The variance and standard deviation were 33.3 and 5.77, respectively. Discuss any difference between the serve speeds in the Australian Open and the Wimbledon women’s tournaments.
Answer:
asnwer is B
Step-by-step explanation:
mark BRAINLIEST
What times what gives you 1,000,000
Plz answer BRAINLIEST Choose the statement that is true of both triangles.
9514 1404 393
Answer:
A. Side lengths of 4 units and 2 units and a nonincluded angle of 30°
Step-by-step explanation:
Both triangles have sides marked 2 units and 4 units, but the angle is not between them. The angle is opposite the short side in one triangle (which will be a right triangle), and opposite the long side in the other triangle (which will be an obtuse triangle). The sides and angles of the two triangles will not have the same measures, and neither will have an angle of 100°.
The first description is appropriate:
Side lengths of 4 units and 2 units and a nonincluded angle of 30°
Simon is building a ramp in the shape of a triangular prism. He plans to paint each face of the ramp. What is the total surface area of the ramp?
A triangular prism. The base has a length of 8 feet and height of 4 feet. A rectangular side has a base of 8 feet and height of 5 feet. Another rectangular side has a base of 8 feet and height of 3 feet. The triangular sides have a base of 4 feet and height of 3 feet.
68 square feet
96 square feet
108 square feet
114 square feet
Answer:
108 square feet
Step-by-step explanation:
When you say "triangular prism" it means the base is a triangle and the lateral faces are all rectangles. It doesn't matter which side is lying on the ground.
So, we see this is a triangular prism with a 3-4-5 right triangle as a base, and a "height" of 8 feet.
Its total surface area is the area of the two triangle bases plus the area of the three rectangular faces:
A = 2(1/2)(4·3) +8(3 +4 +5) = 12 +96 = 108 . . . . . square feet
Answer:
its C
Step-by-step explanation:
Which number line correctly shows 0.8 + 0.3?
Answer:
the second answer
Step-by-step explanation:
cause 0+0.8 is 0.8 and 0.8+0.3 is 1.1
Answer:
A
Step-by-step explanation:
A bakery sells cakes for $23 and a dozen cupcakes for
$18. In one day they sold 72 items and made a total of
$1446. Which system is an appropriate model of the
problem?
A.23x + y = 72
18x+ y = 1446
B.x+y=72
23x18y=4600
C.23x + 18y = 72
x + y = 1446
D. 23x + y = 1446
x + 18y = 72
Answer:
23x + 18y = 1446
x + y = 72
Step-by-step explanation:
The bakery made $1446 total. We represent this as the cost of each cake ($23) times the number of cakes sold (x) plus the cost of each dozen cupcakes ($18) times the number of cupcakes sold (y).
Thus, 23x +18y = $1446.
The bakery sold 72 items total. We represent this as the number of cakes sold (x) plus the number of each dozen cupcakes sold (y).
Thus, x + y = 72.
Math question please help
Answer:
square feet
Step-by-step explanation:
1/2 a feet is the full square is half
The sum of 5 consecutive integers is 70 what are the numbers
Answer:
12, 13, 14, 15, 16
Step-by-step explanation:
Let the five consecutive integers be (x - 2), (x - 1), x, (x + 1) & (x + 2)
According to the given condition:
[tex](x - 2) + (x - 1) + x + (x + 1) + (x + 2) = 70 \\ 5x = 70 \\ x = \frac{70}{5} \\ x = 14 \\ \implies \\ (x - 2) = (14 - 2) = 12 \\ (x - 1) = (14 - 1) = 13 \\ x = 14 \\ (x + 1) = (14 + 1) = 15 \\ (x + 2) = (14 + 2) = 16\\ [/tex]
Difference between-9°C and -21°C
Answer:
12
Step-by-step explanation:
21-9=12 hope this helps :)
Please help ASAP! Will give BRAINLIEST! Please read the question THEN answer correctly! No guessing.
Answer:
C. (x + 8) (x + 7)
Step-by-step explanation:
To factor this trinomial, you must split the middle term (15x) into two terms that can be added to get 15x, and multiplied to get 56:
[tex]x^2 + 15x + 56[/tex]
[tex]x^2 + 7x + 8x + 56[/tex]
Group:
[tex](x^2 + 7x) (8x + 56)[/tex]
Take out the GCF (Greatest Common Factor):
x(x + 7) 8(x + 7)
(x + 8) (x + 7)
Do you remember the difference between a row and a column
in Math?
Answer:
Rows are the steps - they go left to right and are numbered 1,2,3,... Columns are the columns - they go up and down and are lettered A,B,C,... Cells are defined by the row and column they are in.
Step-by-step explanation:
