If a box turtle Marcos found is 0.115m long, then the length in expanded form is (0.1 + 0.01 + 0.005).
As per the question statement, a box turtle Marcos found is 0.115m long.
We are required to find out the expanded form of the length.
To solve this question, we need to know the procedure to convert a decimal into a fraction:
First, we will have to eliminate the decimal point and then, consider the digits in the same order as a complete number which will be our numerator. Secondly, we will use (10ⁿ) as our denominator where "n" is the number of digits on the right side of the decimal point in the original decimal number. Thus, 0.115 can be written as \(\frac{115}{1000}\), since there are three digits after decimal point.
Now \(\frac{115}{1000}\) can be written in the following manner as shown below.
\(\frac{115}{1000}=\frac{100+10+5}{1000}\\ or, \frac{115}{1000}=\frac{100}{1000}+\frac{10}{1000}+\frac{5}{1000}\\ or, \frac{115}{1000}=\frac{1}{10}+\frac{1}{100}+\frac{5}{1000}\\ or, \frac{115}{1000}=0.1+0.01+0.005\)
Therefore, 0.115 can be written as (0.1 + 0.01 + 0.005) in its expanded form.
Expanded Form (of a number or decimal): This is a format of writing a number as a summation of its individual digits multiplied by their place values.
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John travels 54 miles each day of his 5 day journey to Disney land. What is the distance from John’s house to Disney land? PLZZ
HELP PLEASE will mark brainliest
Eighteen middle-aged women with platelet readings between 120,000 platelets per microliter and 150,000 platelets per microliter of blood were selected randomly from the population of similar female patients at a large local hospital. Nine of the 18 women were assigned randomly to group A and received a placebo. The other nine women were assigned to group B and received a new platelet drug. After four months, posttreatment platelet readings were taken for all 18 women and were compared with pretreatment readings. The reduction in platelet level (Pretreatment reading − Posttreatment reading) for each woman in the study is shown here.
Group A (placebo) increase (in platelets per microliter): 2,000, 5,000, 7,050, 10,125, 12,345, 17,350, 13,250, 12,200, 9,125
Group B (platelet drug) increase (platelets per microliter): 28,450, 23,438, 36,380, 12,450, 16,100, 21,350, 39,400, 41,000, 14,325
Create and interpret a 95% confidence interval for the difference in the placebo and the new drug.
The blood platelet count is an illustration of normal distribution,
Approximately 95% of the data lies within 2 standard deviations of the mean.
There are approximately 99.7% of women with platelet count between 65.2 and 431.8.
Given parameters are:
μ = 248.5
σ = 61.1
(a) The percentage within 2 standard deviation of mean or between 126.3 and 370.7,
Start by calculating the z-score, when x = 126.3 and x = 370.7
Z = x-μ / σ
Therefore,
Z = 126.3-248.5/61.1
Z = -2
Also,
Z = 370.7-248.5/61.1
Z = 2
The empirical rule states that:
Approximately 95% of the data lies within 2 standard deviations of the mean.
Hence, there are approximately 95% of women with platelet count within 2 standard deviations of the mean.
(b) The percentage with platelet count between 65.2 and 431.8
Start by calculating the z-score, when x = 65.2 and x = 431.8
Z = 65.2-248.5/61.1
Z = -3
And,
Z = 431.8-248.5/61.1
Z = 3
The empirical rule states that:
Approximately 99.7% of the data lies within 3 standard deviations of the mean.
Hence, there are approximately 99.7% of women with platelet count between 65.2 and 431.8.
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In ΔXYZ, the measure of ∠Z=90°, YX = 37, ZY = 12, and XZ = 35. What ratio represents the sine of ∠X?
Answer:
12/37
Step-by-step explanation:
Lin drew this set of axes and plotted the points A=(1,2), B=(-3, -5), C=(5,7), D=(-4, -3), and E=(-4, 6) on them. Identify her mistakes! Which points were plotted incorrectly?
Answer:
B=(-3, -5)
Step-by-step explanation:
Anyone know how to solve for x and y on this problem?
\(\boxed{\boxed{\pink{\bf \dag Value \ of \ x \ is \ 6\ and\ y \ is\ (-21) .}}}\)
Step-by-step explanation:In the Question , its given that ∆ART \(\cong\) ∆ DFI . And we need to find the values of x and y . So we know that ,
If two triangles are congruent then their Corresponding angles and sides are equal.Hence here in ∆ ART & ∆ DFI :-
AT = DI ( cpctc)AR = DF ( cpctc)\(\bf\implies AT = DI \\\\\bf\implies 6x + 31 = 67 \\\\\bf\implies 6x = 67 - 31 \\\\\bf\implies 6x = 36 \\\\\bf\implies x =\dfrac{36}{6}\\\\\bf\implies \boxed{\red{\bf x = 6}}\)
Hence the value of x is 6 .
\(\rule{200}2\)
\(\bf\implies AR = DF \\\\\bf\implies -4y+19 = 103\\\\\bf\implies -4y = 103-19 \\\\\bf\implies -4y = 84 \\\\\bf\implies y =\dfrac{84}{-4}\\\\\bf\implies \boxed{\red{\bf y = -21}}\)
Hence the value of x is 6 and y is (-21) .g Vectors ???? and ???? are sides of an equilateral triangle whose sides have length 4. Compute ????⋅????. (Give your solution as a number to one decimal place.
Answer:
\(v \cdot w = 8.0\)
Step-by-step explanation:
See comment for complete question
Given
\(|v| = |w| = 4\) --- the side lengths
Required
\(v \cdot w\)
\(v \cdot w = |v| \cdot |w| \cdot (cos\theta)\)
From the question, we understand that v and w are sides of an equilateral triangle.
This means that:
\(\theta = 60^o\) --- angles in an equilateral triangle
So:
\(v \cdot w = |v| \cdot |w| \cdot (\cos 60)\)
So, we have:
\(v \cdot w = 4 * 4 * 0.5\)
\(v \cdot w = 8.0\)
Find the slope of the line, then write the equation of the line in slope-intercept form.
y = x - 4 is the equation of the line in slope-intercept form.
How do you interpret a slope-intercept form?
The data provided by that form can be used to graph a linear equation in slope-intercept form. As an illustration, the equation y=2x+3 indicates that the line's slope is 2 and that its y-intercept is located at (0,3). This reveals the single point at which the line passes as well as the direction in which we should draw the full line after that.
Point from graph = (2, -2 )
slope (m) = y/x
= -2/2
= 1
slope-intercept form ⇒ y = mx + c
-2 = 1 * 2 + c
- 2 = 2 + c
c = -4
slope-intercept form ⇒ y = x - 4
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What is the slope of the line shown below?
Answer: m = 5/8
Step-by-step explanation:
Wade was asked to solve this inequality:
\large \frac{x}{3}\ge11
He decides that he needs to multiply both sides by 3. Is this step correct?
Yes, that is the correct step.
No, that is not the correct step.
Answer:
The correct option is Option A: Yes, that is the correct step
Step-by-step explanation:
Wane was asked to solve the inequality \(\large \frac{x}{3}\ge11\)
He decides that he needs to multiply both sides by 3.
We need to tell if the step is correct?
So, solving the inequality
\(\frac{x}{3}\ge11\)
We need to multiply both sides by 3, to get value of x i.e.
\(\frac{x}{3}*3\ge11*3\\x\geq 33\)
So, Wanes step is correct.
The correct option is Option A: Yes, that is the correct step
X^2+2xy-2y^2+x=2 find gradient at point (-4,1)
Therefore , the solution to the given problem of slope intercept comes out to be dy/dx = -1/2.
A slope-intercept form is precisely what?After you are certain if Y = mx + b, the gradient intercept approach can be employed. By using just one particular point on the line and its slope, the direction form is a way to represent an axiom for a line. The slope is defined as such rise across run and is represented first by point form (x,y), and may be calculated using the slope intercept method, y = mx + b. (0, b). By using just one specific statement on the vector and its slope, the direction form is a technique to write a linear model for a line.
Here,
Given : x² +2xy - 2y² +x =2
thus,
To find the gradient at point (-4,1) :
We have to find the dy/dx
so,
=> 2x + 2y + 2xdy/dx -2ydy/dx +1 =0
=> dy/dx (2x-2y) = -(2x+ 2y) -1
=>dy/dx = -(2x+2y) -1 / (2x-2y)
So , at the point (-4,1)
=> dy/dx = -(-8 + 2) -1 / (-8 -2)
=>dy/dx = 5/-10
=>dy/dx = -1/2
Therefore , the solution to the given problem of slope intercept comes out to be dy/dx = -1/2.
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The surface area of a rectangular prism is increased by a factor of 16.
By what factor is the volume of the figure increased?
4
8
Оооо
32
64
Answer:
64
Step-by-step explanation:
Answer:
D 64
Step-by-step explanation:
The person above me is correct. Got it right on Edge 2021
Solve for m:
-3(1 – 5m) = — 38 + 8m
Answer:
m = - 5
Step-by-step Explanation:
\(-3(1-5m)=-38+8m \\ \\ - 3 + 15m = - 38 + 8m \\ \\ 15m - 8m = 3 - 38 \\ \\ 7m = - 35 \\ \\ m = \frac{ - 35}{7} \\ \\ \huge \purple{ \boxed{m = - 5}}\)
Answer:
-5
Step-by-step explanation:
Help please confused
Answer:
AB : y=1/5x+12
CB : y=-3x+10
CD : y=1/2x-1
DA : y=-2x+1
Φ1 = ∬S1 (-2u^6cos(v) - 2u^3sin(v)) du dv
= ∫(0->1) ∫(0->2π) (-2u^6cos(v) - 2u^3sin(v)) dv du
\(\begin{align}\sf\:\Phi_1 &= \iint_{S_1} (-2u^6\cos(v) - 2u^3\sin(v)) \, du \, dv \\ &= \int_{0}^{1} \int_{0}^{2\pi} (-2u^6\cos(v) - 2u^3\sin(v)) \, dv \, du \end{align} \\\)
if the rate of compound interest for the first second third year is 8% 10% and 15% respectively find the total value of a $12,000 investment in 3 years
b. Lisa has 120 sweets. She gives 2 of them to
her brother. How many sweets does Lisa have left
Answer:
118
Step-by-step explanation:
Answer:
118
Step-by-step explanation:
120-2=118
118 sweets left!
Which equation describes the line???
Answer:
The answer is D. y-10=2(x-1)
Step-by-step explanation:
\(y-y_{1}=m(x-x_{1})\)
First, find the slope from the two points:
m=(10-2)/(1+3)=2
let \(y_{1}=10 and x_{1}=1\)
thus, y-10=2(x-1)
find the missing side of the triangle
Answer:
x = 34
Step-by-step explanation:
Pytago:
x\(30^{2} + 16^{2} = x^2\\x = \sqrt{30^2 + 16^2} \\x = 34\)
Two cylinders, a and b, each started with different amounts of water. The graph shows how the height of the water changed as the volume of water increased in each cylinder. Match the graphs of a and b to Cylinders P and Q. Explain your reasoning. height in centimeters b volume in milliliters P
To match the graphs of cylinders a and b to cylinders P and Q, we need to analyze the relationship between the height of the water and the volume of water in each cylinder.
Cylinder P would correspond to graph b, while Cylinder Q would correspond to graph a.
The reasoning behind this is as follows:
Cylinder P, corresponding to graph b, shows a steeper increase in height with increasing volume. This indicates that the water level rises quickly as more volume is added, suggesting that the cylinder has a smaller cross-sectional area. Since height is directly proportional to volume for a cylinder, a smaller cross-sectional area would result in a higher rise in height for the same volume of water.
Cylinder Q, corresponding to graph a, shows a slower increase in height with increasing volume. This implies that the water level rises more gradually as more volume is added, indicating a larger cross-sectional area. A larger cross-sectional area would result in a smaller increase in height for the same volume of water.
In summary, the steeper graph b matches Cylinder P with a smaller cross-sectional area, while the gentler graph a matches Cylinder Q with a larger cross-sectional area.
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Which of the following functions would have an inverse that is not a function
Answer: I’m pretty sure it’s 3
Step-by-step explanation:
It’s not a function if it’s not a line...
Using the concept of function, it is found that graph 2 would have an inverse that is not a function.
------------------------
In a function, each value of the input can be mapped to only one value of the output.In the inverse, the output and the input of the original are exchanged, thus, it will be a function if each value of y of the original function is related to only one value of x.This test is made applying the horizontal line test to the original function. If the line crosses the function more than once, it does not have an inverse. In the image given at the end, this is verified for graph 2, which does not have an inverse.A similar problem is given at https://brainly.com/question/13160937
the median wait time for angioplasty is greater than the median wait time for bypass surgery but the mean wait time is shorter for angioplasty than for bypass surgery. what does this suggest about the distribution of wait times for these two procedures? both means are ---select--- their respective medians, suggesting that both distributions are ---select--- . the fact that the median is greater for angioplasty and the mean is greater for bypass surgery tells us that the median-to-mean increase is ---select--- in the case of bypass surgery, suggesting that the ---select--- is ---select--- pronounced for bypass surgery than for angioplasty.
Based on the given information, we can make the following conclusions: Both means are shorter than their respective medians. The median-to-mean increase is greater in the case of bypass surgery
What is median?In statistics, the median is a measure of central tendency that represents the middle value of a dataset when the data is arranged in ascending or descending order. It is the value that separates the lower 50% of the data from the upper 50% of the data. To find the median of a dataset, the data is first arranged in order. If the number of data points is odd, the median is the middle value. If the number of data points is even, the median is the average of the two middle values. The median is a useful measure of central tendency because it is less sensitive to outliers than the mean, which makes it a better indicator of the typical or central value of a dataset when the data is skewed or contains extreme values.
Here,
1. Both means are shorter than their respective medians, suggesting that both distributions are skewed to the right. This means that there are some patients who wait for a very long time, causing the right tail of the distribution to be longer.
2. The fact that the median is greater for angioplasty and the mean is greater for bypass surgery tells us that the median-to-mean increase is greater in the case of bypass surgery, suggesting that the skewness is more pronounced for bypass surgery than for angioplasty. This means that there are relatively more patients who wait for a very long time for bypass surgery compared to angioplasty, which is reflected in the longer right tail of the distribution for bypass surgery.
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middle school math problem.....
Answer:
hi bro how are yuo join this meeting i will say you ans
Step-by-step explanation:
Answer:
Part A: 27.32
Part B: 4.92
Step-by-step explanation:
25.30*.08(or 8%) is equal to 2.024
25.30+2.024=27.324=27.32
32.24-27.32=4.92
please help me with my online classwork!
Answer:
840 cm²---------------------------
There are two triangular faces with base of 16 cm and height of 15 cm and three rectangular faces.
Find the sum of areas of all five faces:
S = 2*(1/2)*16*15 + (17*2 + 16)*12 = 240 + 600 = 840When Ibuprofen is given for fever to
children 6 months of age up to 2 years, the
usual dose is 5 milligrams (mg) per kilogram
(kg) of body weight when the fever is under
102.5 degrees Fahrenheit. How much
medicine would be usual dose for a 18
month old weighing 21 pounds?
milligrams
Round your answer to the nearest milligram.
Answer: The usual dose for an 18-month-old weighing 21 pounds is 48 mg of ibuprofen.
Step-by-step explanation: To find the usual dose of ibuprofen for a child, we need to follow these steps:
Convert the child’s weight from pounds to kilograms. One pound is equal to 0.4536 kilograms, so we multiply 21 by 0.4536 to get 9.5256 kilograms.Multiply the child’s weight in kilograms by the dose per kilogram. The dose per kilogram is 5 mg when the fever is under 102.5 degrees Fahrenheit, so we multiply 9.5256 by 5 to get 47.628 mg.Round the result to the nearest milligram. To round a number to the nearest milligram, we look at the digit after the decimal point. If it is 5 or more, we add one to the digit before the decimal point and drop the rest. If it is less than 5, we keep the digit before the decimal point and drop the rest. In this case, the digit after the decimal point is 6, which is more than 5, so we add one to the digit before the decimal point and drop the rest. The result is 48 mg.Therefore, the usual dose for an 18-month-old weighing 21 pounds is 48 mg of ibuprofen. Hope this helps, and have a great day! =)
. 16 is 20% of what number? Show your work and/or explain your reasoning.
Answer:
0.8
Step-by-step explanation:
.16/.2 = 0.8
check
0.8 x .2 = 0.16
Not understanding, i’ll give BRAINLIEST!
Answer:
The two angles are alternate interior angles.
Step-by-step explanation:
When two parallel lines are cut by another line, their alternate interior angles are congruent. I like this explaination by varsity tutors:
"The Alternate Interior Angles Theorem states that, when two parallel lines are cut by a transversal, the resulting alternate interior angles are congruent."
Find the center and radius of the circle with a diameter that has endpoints (-6,10)
and (2,3)Enter the center as an ordered pair, : Enter the radius as a decimal correct to three decimal places :
Step-by-step explanation:
the center of the circle is the midpoint of the diameter.
and the radius is the distance of the midpoint to either endpoint (or simply half of the distance between the diameter endpoints).
the midpoint between points A and B
(xm, ym) = ((xa + xb)/2, (ya + yb)/2)
in our case the midpoint (center of the circle) is
((-6 + 2)/2, (10 + 3)/2) = (-4/2, 13/2) = (-2, 6.5)
about the radius
diameter² = (-6 - 2)² + (10 - 3)² = (-8)² + 7² = 64 + 49 =
= 113
diameter = sqrt(113) = 10.63014581...
radius = diameter / 2 = 5.315072906... ≈ 5.315
You sailed 0.055 units to the left and found treasure at 0.085 units find where the ship started
The ship started at the Position 0.14 units.
To determine the starting position of the ship, we can consider the distance sailed to the left and the distance to the treasure.
Given that you sailed 0.055 units to the left and found the treasure at 0.085 units, we can represent this situation mathematically as follows:
Starting position + Distance sailed to the left = Distance to the treasure
Let's assign a variable, "x," to represent the starting position of the ship.
The equation becomes:
x - 0.055 = 0.085
To find the value of x, we can solve this equation by isolating x on one side:
x = 0.085 + 0.055
x = 0.14
Therefore, the ship started at the position 0.14 units.
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Which of the following digits might prime numbers greater than 10 have in the ones place? Select all that apply.
1
2
3
4
Answer:
2,4
Step-by-step explanation:
They are the only two prime numbers
fator the following problem x^2+12x+36
Answer:
(x-6)^2
Step-by-step explanation:
Hope this helped
Answer:
(x+6)2
Step-by-step explanation:1
What two numbers sum up to the middle term (6), and have a product of the last term (36)?
After some trial and error, we arrive at 6 and 6, which means we can factor this as
(x+6)(x+6) or (x+6)2
Another way we could have approached this is that we see that the leading term and the last term are both perfect squares.
With this in mind, we could rewrite the expression as
(x)2+12x+(6)2
Now, it becomes a little more clearer that we can factor this as
(x+6)2