Blue whales, about 80 feet in length and over 250,000 pounds in weight, are much bigger than whale sharks.
The blue whale is 1 × 10^1 times heavier than a white rhinoceros.
How do scientific notations work?The number is written in the form [tex]a \times 10^b[/tex] where we have it [tex]1 \leq a < 10[/tex]. The number b shows the order, which is the most important figure for which scientific notation is used. It tells us how much order large or small a value is in powers of 10. Scientific notations have some of the profits as Better readability due to compact representation. Its value in terms of the power of 10 is known, which helps in the easy comparison of quantities differing by a large value.
The weight of the animals can be written in scientific notation.
To determine that how much heavier the blue whale is, we need to divide the weight of the blue whale by the weight of the white rhinoceros.
The division operation that is used to group a number into equal parts using another number.
Weight of the blue whale ÷ weight of the white rhinoceros
2 x [tex]10^5[/tex] ÷ 2 x [tex]10^4[/tex]
(2 ÷ 2) x ([tex]10^{5-4}[/tex])
1 × 10
Hence, The blue whale is 1 × 10^1 times heavier than a white rhinoceros.
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Karina and Perry are cleaning up litter in the park for community service hours. Karina and Perry both claim they have covered the greatest area. Who is correct? Justify your answer using mathematical reasoning. Also, what is the area of both shapes?
Answer:
a. Perry covered a larger area
b. Karina covered an area of 9 units squared
Perry covered an area of 18 units squared
Step-by-step explanation:
Here, we are to justify our answer using mathematical reasoning.
Firstly, we need to deduce who out of the two has covered the greatest area.
The best way to go about this is by looking at the dimensions of the shapes in which they have individually covered.
For Karina, we have a square of sides 3 units by 3 units
While for Perry, we have a rectangle of dimension 9 units by 2 units
We know that judging by the areas of both, a square of side 3 by 3 has a smaller area compared to a rectangle of side 9 by 2
So since the rectangle has the bigger area, then Perry has covered a larger area during her community service
We are told to calculate the areas;
For Karina , we have;
3 by 3 = 3 units * 3 units = 9 units squared
For Perry, we have
9 by 2 = 9 units * 2 units = 18 units squared
The 16th percentile in a Normal distribution is 25 and 2.5% of the values in the distribution are greater than 40.
Which of the following are the best estimates for the mean and standard deviation of the distribution?
(a) mean = 32.5; standard deviation = 2.5
(b) mean = 32.5; standard deviation 5
(c) mean 32.5; standard deviation = 10
(d) mean = 30; standard deviation - 2.5
(e) mean = 30; standard deviations
This question is not complete
Complete Question
The 16th percentile in a Normal distribution is 25 and 2.5% of the values in the distribution are greater than 40.
Which of the following are the best estimates for the mean and standard deviation of the distribution?
(a) mean = 32.5; standard deviation = 2.5
(b) mean = 32.5; standard deviation = 5
(c) mean 32.5; standard deviation = 10
(d) mean = 30; standard deviation = 2.5
(e) mean = 30; standard deviations = 5
Answer:
(e) mean = 30; standard deviations = 5
Step-by-step explanation:
From the question, we are told that the 16th percentile in a Normal distribution is 25
Hence the standard deviation is calculated as √of the 16th percentile in a normal distribution
= √25
= 5
Hence, the standard deviation = 5
In other to obtain the mean, we used the formula of z score.
z score formula =(x-μ)/σ,
where x is the raw score
μ is the population mean
σ is the population standard deviation.
From the question
x = 40, σ = 5
We are told that 2.5 % of the values is greater than 40
This means The percentile for this values = 100 - 2.5 %
= 97.5%
The z-score for a 97.5th percentile = 1.96
Hence,
z = (x-μ)/σ
1.96 = (40 - μ) / 5
Cross Multiply
= 1.96 × 5 = 40 - μ
= 9.80 = 40 - μ
μ = 40 - 9.80
μ = 30.2
≈ 30
Hence, the Mean = 30
A normal distribution is symmetric about the mean.
The mean of the distribution is 30The standard deviation is 5Given
[tex]P_{16} = 25[/tex] ---- 16th percentile
First, we calculate the standard deviation as follows:
[tex]\sigma = \sqrt{P_{16}[/tex]
So, we have:
[tex]\sigma = \sqrt{25[/tex]
[tex]\sigma = 5[/tex]
Next, we have:
[tex]2.5\%[/tex] of the value are greater than 40
This means that:
[tex]x =40[/tex] and 97.5% are less.
So: the z-score of 97.5% is:
[tex]z = 1.960[/tex]
Using z formula:
[tex]z = \frac{x - \mu}{\sigma}[/tex]
Substitute values for z, x and [tex]\sigma[/tex]
So, we have:
[tex]1.960 = \frac{40 - \mu}{5}[/tex]
Multiply through by 5
[tex]5 \times 1.960 = 40 - \mu[/tex]
[tex]9.8 = 40 - \mu[/tex]
Collect like terms
[tex]\mu = 40 - 9.8[/tex]
[tex]\mu = 30.2[/tex]
Approximate
[tex]\mu = 30[/tex]
Hence, the mean is 30 and the standard deviation is 5
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Angel got a new phone with Verizon. They charged Angel $50 each month for service, plus an additional $15 per gigabyte of data used. Write an equation that models the total price of Angel's phone bill as 'y' based on the number of gigabytes used, 'x'.
Answer: 15y+50=x
Step-by-step explanation:
Rachel wants to purchase a new I-Tablet on Black Friday for $450. Better Buy offers two
installment plans for purchasing this item.
Plan A: a fixed weekly payment of $25
Plan B: a $120 initial payment, followed by weekly payments of $5
After 12 weeks, how much money would Rachel spend on each plan?
A Plan A: $300; Plan B: $60
B Plan A: $300; Plan B: $180
C Plan B: $300; Plan A: $60
D Plan B: $300; Plan A: $180
Answer:
hmmmmm im not sure
Step-by-step explanation:
Answer:
C.plan B: $300;planA:$60
not completely sure this is the answer but I hope this helps
Step-by-step explanation:
If you get this you are a critical thinker.
I enter the garden.
There are 34 people.
You kill 30.
How many people are in the garden.
Answer:
5
Step-by-step explanation:
If you killed 30 and there were 34 people there not including me then there would be 5 left.
Which expression has a value of 1?
(Need answer ASAP)
Answer:I am adding the brackets to show in which order the expressions will be evaluated:
A.
(4 ÷ 4) + 4 – 4 = 1+4-4 = 1 (the correct answer)
B.
(4 · 4) – (4 ÷ 4)= 16-1 = 15
C.
4 –( 4 ÷ 4) – 4= 4-1-4 = -1
D.
(4 ÷ 4) + 4 + 4 = 1+4+4 =9
hope this help yu the answer is A
hope this hlpe
Step-by-step explanation:
If f(x) = 5x + 3 and g(x) = x – 4, then f(x) + g(x) =
Answer:
C. 6x-1
Step-by-step explanation:
Add 5x+3 by x-4 (5x+3+x-4), then simplify by combining like-terms. So, add 5x+x, which will be 6x and then do 3-4, which will be -1. So, the answer should be 6x-1. Hope this helps!
3+0.5(4x + 8) = 9-2x
Answer:
1/2
Step-by-step explanation:
if you want me to explain it Just tell me and i will edit it
Answer:
X=0.5 or 1/2
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
I will give brainliest answer
Answer:
Please see attached image
Step-by-step explanation:
Recall that for a reflection of the triangle, we proceed to reflect its vertices across the given line. A reflection places the image of the three vertices at exactly the same number of units on the other side of the line as the original vertex was.
Please see attached image for description.
We go from vertex A straight perpendicular towards the line, and count two divisions to reach the line, so we move in the exact same down direction two divisions on the other side of the given line and mark its image (point A').
We do similarly with point B (six divisions to reach the given line, and continue also 6 divisions to the other side to create its image B'.
Finally vertex C is 5 divisions from the given line, and we continue 5 divisions on the other side of the line to place its image.
Once this is done, we simply join the image points with segments to form the triangle.
PLEASEEE HELPPP If quadrilateral C'D'EF represents quadrilateral CDEF rotated 90° clockwise about the origin, the ordered pair of D'is
THANK U
Answer:
Step-by-step explanation:
If D is rotated 90 degrees clockwise then it should wind up at (0,2). Try drawing the quadrilateral to see why this is true.
E' would be (0,3)
C' would be (5,1)
F' would be (-3,-3)
How to solve this problem
Answer: [tex]\sqrt100=10[/tex]
Step-by-step explanation:
[tex]\sqrt[n](-4-4)^{2} +(-3-3)^{2} \\\sqrt64+36\\\sqrt100\\=10[/tex]
1-6
For the problem below, display the data using a dot plot, bar graph, or two-way table. Decide
which type of data display is best and explain why.
Appliances sold at Housemart during the month of September:
Washers: 35 Dryers: 21 Ovens: 19 Refrigerators: 27
Dishwashers: 23
The Svensons find a refrigerator valued at $2,300 on sale for $1,900. They decided to withdraw $500 from savings to
use as a down payment on the purchase of the refrigerator and took out a loan to pay the balance. Choose the true
statement
a. The Svensons' assets increased by $1,400.
b. The Svensons'assets increased by $1,800.
C. The Svensons'assets increased by $1,900.
d. The Svensons'assets increased by $2,300.
Answer:
The Svensons' assets increased by $1,800.
Step-by-step explanation:
I just took the quiz!
Answer:
its b
Step-by-step explanation:
i took the test.
Show all you work plzzz
Answer:
[tex]4+3n[/tex]
Step-by-step explanation:
[tex]4+8n-5n[/tex]
Solve [tex]8n-5n=3n[/tex]
[tex]4+3n[/tex]
Debra bought 7 boxes of chocolates. Each box cost $9.55. How much did she spend?
Answer:
$66.85
Step-by-step explanation:
One box equals $9.55.
There are seven boxes, so multiply the $9.55 by 7 to get your answer:
7 × 9.55 = 66.85.
Debra spent $66.85 for all seven boxes of chocolates.
what is (2/3) squared equal
Answer:
[2/3]^2=[2/3]*[2/3]=[2*2]/[3*3]= 4/9
Answer:
(2/3)^2 equals 4/9
6)
Do these calculations and use proper significant figures:
26 X 0.02584 =
15.3 +1.1 =
782.45 X 3.5 =
63.258 + 734.2 =
Answer:
0.67184
16.4
2738.575
847.458
Answer:
0.67184
16.4
2738.575
797.458
Which of the following expressions is equal to -4x2-36 ?
Answer:
-4(2x+9) or its -8x-36
Which quadratic function opens up?
Y= -x^2+ 3
Y= -(x + 3)^2
Y= -3x^2
Y= x^2- 3
Answer:
y = x^2 - 3
Step-by-step explanation:
Quadratic function in general form:
y = ax^2 + bx + cThe graph opens up if a>0, opens down if a < 0
The function that opens up is:
y = x^2 - 3URGENT WILL GET BRAINLIEST!!!!
Identify the theorem or postulate that is related to the measures of the angles in the pair, and find the unknown angle measure.
m∠1=(50x)∘, m∠8=150°
Answer:
Alt. Ext. Angles Theorem.
m∠1 = 150
Step-by-step explanation:
∠1 and ∠8 are alternate exterior angles formed when the transversal line cuts across the 2 parallel lines. According to the alternate exterior angles theorem, both are congruent. Therefore,
m∠1 = m∠8
m∠1 = (50x)°
m∠8 = 150
Set both equal and solve for x
50x = 150
Divide both sides by 50
50x/50 = 150/50
x = 3
Unknown angle:
m∠1 = (50x) = 50*3 = 150°
To which substance does ferredoxin transfer an electron? photosystem I photosystem II NADP+ NADPH
Answer:
NADP+
Step-by-step explanation:
Answer:
C. NADP+
Step-by-step explanation:
What is the equation of the line that passes through the point (-2, 7) and has a slope of zero?
O A. X = 7
O B. y = -2
O C. X = -2
O D. y = 7
Plsss answer asap
Answer:
The answer is option DStep-by-step explanation:
To find the equation of a line given the slope and a point we use the formula
[tex]y - y_{1} = m(x - x_{1})[/tex]where
m is the slope
( x1 , y1) is the point
From the question
slope = 0
The point is (- 2 , 7)
Substitute the values into the above formula and solve
That's
[tex]y - 7 = 0(x +2) \\ y - 7 = 0[/tex]We have the final answer as
[tex]y = 7[/tex]Hope this helps you
Rozalie spent $26.75 at a parking garage in downtown Orlando. The garage charged a base fee of $7.50 for the first hour, and an hourly rate of $2.75 for each additional hour. The following sign is displayed to show the prices for the first 4 hours.
Answer:
Rozalie spent 7 hours at the parking garage.
Step-by-step explanation:
The equation for the above Question can be given as:
$7.5 + 2.75x
Where x = hourly rate
We are told that Rozalie spent $26.75
The number of hours Rosalie spent at the parking garage is calculated as:
$7.5 + 2.75x = $26.75
2.75x = $26.75 - $7.5
2.75x = 19.25
x = 19.25/2.75
x = 7 hours
Therefore the number of hours Rozalie spent at the parking garage was 7 hours.
4/5 + 1/3
Answers should be in format example: 5/2 or 2/5. No decimals or mixed numbers.
Answer:
16/15
Step-by-step explanation:
The LCM of 5 and 3 is 15
4/5 + 1/3 = 12 / 15 + 4 / 15 = 16 / 15
Answer:1.13333333333 also known as 1.13 repeat
Step-by-step explanation:
Write an equation of a line that is perpendicular to y = 1/4x-4
that passes through the point(2.8)
Answer:
Step-by-step explanation:
perp. -4
y - 8 = -4(x - 2)
y - 8 = -4x + 8
y = -4x + 16
10 + 3x < 4 or 2x + 5 > 11 in interval notation
Answer:
( − ∞ , ∞ ) hope i help
Step-by-step explanation:
First, solve each inequality. I'll solve the first one first.
7 ≥ 2 x − 5
12 ≥ 2 x
6 ≥ x
Therefore, x could be any number less than or equal to 6. In interval notation, this looks like:
( − ∞ , 6 ]
The parenthesis means that the lower end is not a solution, but every number above it is. (In this case, the lower end is infinity, so a parenthesis must be used, since infinity is not a real number and so it cannot be a solution.) The bracket means that the upper end is a solution. In this case, it indicates that not only could
x
be any number less than 6, but it could also be 6.
Let's try the second example:
3 x − 2 4 > 4
3 x − 2 > 16 3 x > 18 x > 6
Therefore, x could be any number greater than 6, but x couldn't be 6, since that would make the two sides of the inequality equal. In interval notation, this looks like:
( 6 , ∞ )
The parentheses mean that neither end of this range is included in the solution set. In this case, it indicates that neither 6 nor infinity are solutions, but every number in between 6 and infinity is a solution (that is, every real number greater than 6 is a solution).
Now, the problem used the word "OR", meaning that either of these equations could be true. That means that either x is on the interval ( − ∞ , 6 ] or the interval ( 6 , ∞ )
. In other words, x
is either less than or equal to 6, or it is greater than 6. When you combine these two statements, it becomes clear that
x
could be any real number, since no matter what number
x
is, it will fall in one of these intervals. The interval "all real numbers" is written like this:
( − ∞ , ∞ )
You spend $168 on materials to start a business making silk flower arrangements. Each arrangement sells for $12. You decide to create a linear graph to model the relationship between profit, P, and sales, x. Which statements are true about the graph?
Answer:
B) The graph models P(x) = 12x − 168.
C) The x-axis represents the number of sales.
D) The break-even point for the number of sales and profit is (14, 0)
Step-by-step explanation:
Answer:
B) The graph models P(x) = 12x − 168.
C) The x-axis represents the number of sales.
D) The break-even point for the number of sales and profit is (14, 0)
Step-by-step explanation:
The x-axis represents the number of sales.
The graph models P(x) = 12x − 168
The break-even point for the number of sales and profit is (14, 0)
The x-axis represents independent values, such as the number of sales.
Profit = 12(#sales) − cost of materials → P(x) = 12x − 168
0 = 12x − 168 → x = 14 → (14, 0) is the break-even point.
elena and emily are twins. together they have saved a total of $72. elena saves twice as much as emily. how much has each girl saved?
Answer:
Emily: 24 Elena:48
Step-by-step explanation:
el + em = 72
el = 2em
2em + em = 72
3em = 72
em = 24
el = 2*24 = 48
If this helped, please give brainliest
к L
-12 -9 -6 -3 0 3 6 9 12 15 18
What is KL?
Answer:
kl is a volume with sides that are equal
If the point K is over -9 and L is over 15 then the value of KL is 24.
What is Distance?The length along a line or line segment between two points on the line or line segment.
Distance=√(x₂-x₁)²+(y₂-y₁)²
A number line is a horizontal line that has equally spread number increments.
On the number line K is over -9 and L is over 15
We need to find the distance of KL.
KL=OL-OK
Where the OL is 15 and OK is -9.
Now plug in these values in KL
KL=15-(-9)
When minus and minus are multiplied we get positive.
=15+9
Add fifteen and nine we get twenty four.
=24
Hence, if the point K is over -9 and L is over 15 then the value of KL is 24.
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Which of the following lines has a slope of -1?
Answer:
I do not see any lines
Step-by-step explanation:
