An infant may have had birthing complications that reduced the amount of oxygen in her blood if her Apgar score ranges from 7 at 1 minute to 9 at 5 minutes. In this situation, the hospital nurses will most likely vigorously dry her with a towel while holding oxygen under her nose.
What are Apgar scores?The Apgar score is a recognized and practical way to report on the newborn baby's condition right after birth and their reaction to resuscitation, if necessary. One's particular neonatal mortality or neurologic prognosis cannot be predicted by the Apgar score alone, nor can it be regarded as a result of suffocation. It should also not be utilized to do so. An infant's spontaneous breathing score and the Apgar score given after resuscitation are not the same thing. An enhanced Apgar score reporting form that takes into account concurrent resuscitative treatments is encouraged by both the American Academy of Pediatrics and the American College of Obstetricians and Gynecologists.
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Thomas has a bag with 7 green marbles, 5 blue marbles, and 4 red marbles. For each part below, if the marble selected is replaced before the next marble is drawn, find the probability for the given draw :
A red marble?
A red or a green marble?
An Orange marble?
Using it's concept, the probabilities are given as follows:
A. 1/4.B. 11/16.C. 0.What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.In this problem, the number of marbles is given by:7 + 5 + 4 = 16.Then:For item a, 4 are red, hence the probability is 4/16 = 1/4.For item b, 4 are red and 7 are green, hence the probability is 11/16.For item c, there are no orange marbles, hence the probability is of 0.
Which of the following statements about the box-and-whisker plot below is not true? 70 72 74 76 78 80 02 16 O The midrange of the data set shown is 85.5. O Both 72 and 99 are values in the set of data. The median of the data set shown is 81. 94 There are fewer data points in the lower two quartiles than in the upper two quartiles.
The false statement regarding the box-and-whisker plot is given by:
There are fewer data points in the lower two quartiles than in the upper two quartiles.
What is the missing information?The box-and-whisker plot is not given for this problem, but from it, we have that:
The minimum value is 72.Q1: 75.Median: 81.Q3: 90.Maximum: 99.What does a box-and-whisker plot shows?A box and whisker plot shows five things:
The minimum value.The 25th percentile, which is the median of the bottom 50%.The median, which splits the entire data-set into two halfs, the bottom 50% and the upper 50%.The 75th percentile, which is the median of the upper 50%.The maximum value.The false statement is:
There are fewer data points in the lower two quartiles than in the upper two quartiles.
Because 50% values are below the median and 50% are above, meaning that there is an equal number of data points in the lower two quartiles than in the upper two quartiles.
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4. The
sum of a number z and 16.2 is at most 30.
z + 16.2 ≤ 30
z ≤ 13.8
A rectangular box with a square base has a total surface area of 100cm^2. if x is the length of a side of the base, what is the volume of the box in terms if x?
The volume of the box in terms of x will be : [tex]\frac{50x-x^{3} }{2} cm^{3}[/tex]
We know, Total surface area of a cuboid is: 2(l*b + b*h + h*l)
and it is given that TSA is 100cm^2, the length of the base which is in a square shape is x. So, length l = breadth b = x, and taking height h = y
We need to find out the value of y for finding out the volume of the box.
Putting these values in the formula for TSA,
=> 2(x*x + x*y + x*y) = 100
=> 2(x^2 + 2xy) = 100 => y = (50-x^2)/2x
Put this value of y in the formula for volume.
The volume of Cuboid is : l*b*h
=> x*x*{(50-x^2)/2} => x^2{(50-x^2)/2x}
=> (50x - x^3)/2
Hence, the volume for the box is [tex]\frac{50x-x^{3} }{2} cm^{3}[/tex]
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a small furniture factory makes three types of tables coffee tables dining tables and end tables. The factory needs to make 54 tables each day. The number of dining tables made per day should equal the number of coffee tables and end tables combine. The number of coffee tables maybe she should be three more than the number of end tables. write and solve a system equation to find the numbers of table of each type of factory should make each day.
Using a system of equations, the numbers of each machine made are given as follows:
Dining: 19Coffee: 19End: 16.What is a system of equations?A system of equations is when multiple variables are related, and equations are built to find the values of each variable, according to the relations given in the problem.
For this problem, the variables are given as follows, considering the situation described:
Variable x: Number of dining tables made.Variable y: Number of coffee tables made.Variable z: Number of end tables made.The factory needs to make 54 tables each day, hence:
x + y + z = 54.
The number of dining tables made per day should equal the number of coffee tables, hence:
x = y.
Then, on the first equation:
2y + z = 54.
The number of coffee tables should be three more than the number of end tables, hence:
y = z + 3.
Replacing in the equation 2y + z = 54:
2(z + 3) + z = 54
3z = 48
z = 16.
Then:
y = z + 3 = 19.x = y = 19.The numbers of each machine made are given as follows:
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the price for 15 boxes of pencils is $67. The price for 34 boxes is $143. by how much does the cost increase for each additonal box of pencils purchased?
Answer:
$0.3
Step-by-step explanation:
Cost of one box in a set,
→ 67/15
→ 4.47 = $4.5
Cost of one box in another set,
→ 143/34
→ 4.205 = $4.2
The cost increase for each extra box,
→ 4.5 - 4.2
→ $0.3
Hence, the answer is $0.3.
Small, random genetic changes that occur over generations is known as _________.
Small, random genetic changes that occur over generations is known as genetic drift.
What is genetic drift?Genetic drift is an evolutionary process in which the frequency of a given gene allele varies randomly across a population. The impacts of genetic drift can be severe, often causing traits to become excessively common or to vanish from a community, even though it predominantly affects small, isolated populations.
Some people might merely by coincidence leave behind a few more offspring (and genes, of course!) than others in each generation. The next generation's DNA and other genetic components will come from the "fortunate" people, not necessarily the healthier or "better" people.
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Among fatal plane crashes that occurred
during the past 65 years, 260 were due to
pilot error, 62 were due to other human
error, 315
were due to weather, 682 were due to
mechanical problems, and 313 were due to
sabotage.
Fill in the relative frequency for each
category. Write answers in percentage
form and round to one decimal place as
needed. Do not include the percent
symbol.
The relative frequency are
i) Pilot error = 15.9 percent
ii) Human Error =3.8 percent
iii) Weather = 19.3 percent
iv) Mechanical problem = 42 percent
v) Sabotage = 19.2 percent
The formula for the relative frequency is = f/n
Where, f = the number of times the data occurred in an observation
n = total number of observations.
If we have to convert it into percentage form we will multiply it by 100
Thus we have been given that
Crashes due to pilot error = 260
Crashes due to other human error = 62
Crashes due to weather = 315
Crashes due to mechanical problem = 682
Crashes due to sabotage = 313
Total number of errors occurred = 260+62+315+682+313
= 1632
Hence, the relative frequency are
i) Pilot error = 260/1632 * 100 = 15.9 percent
ii) Human Error = 62/1632 * 100 =3.8 percent
iii) Weather = 315/1632 * 100 = 19.3 percent
iv) Mechanical problem = 686/1632 * 100 = 42 percent
v) Sabotage = 313/1632 * 100 = 19.2 percent
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Suppose+14%+of+the+listeners+of+a+radio+station+listen+to+it+while+they+are+at+work.+what+is+the+approximate+standard+deviation+of+the+sampling+distribution+of+the+proportion+for+samples+of+size+85?
The approximate standard deviation of the sampling distribution of the proportion is 3.8%.
What is standard deviation?A standard deviation (or) is a measure of how widely distributed the data is in reference to the mean.
A low standard deviation indicates that data is clustered around the mean, whereas a high standard deviation implies that data is more spread out.
Now, as per the questions;
Whenever the population size is so very large, the PQ/N factor approaches zero, and the standard deviation equation becomes:
σp = √( PQ/n)
We don't know how so many listeners this same radio station has in this case, but we can assume it's a large number.
P = probability of listening at work, is 14% or 0.14
Q = probability of not listening at work, is (100- 14)% = 86% = 0.86
N = sample size, is 85
The sample standard deviation is then
σp = √(14×.86/85)
σp = 0.0376
σp = 3.8% (approximately)
Therefore, the approximate vale of the standard deviation is found to be 3.8 %.
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The correct question is-
If 14% of the listeners of a radio station listen to it while they are at work, what is the approximate standard deviation of the sampling distribution of the proportion for samples of size 85?
Solve the equation
3(4z-7)=-21+12z
Answer:
Step-by-step explanation:
Let's open the brackets,
12z - 21 = -21 + 12z (distributive property)
12z - 12z = -21 + 21
0z = 0
z = 0
What is a statement that explains why 13x - 13y = -26 Shares a solution with {10x-3y=29
{-3x+10y=55
A statement that explains the equation 13x - 13y = -26 shares a solution with given system of equations because 13x - 13y equals 55.
What is defined by system of equations?Linear equations (those that graph as straight lines) are easier to solve than non-linear equations, as well as the simplest linear system has two equations and two variables.The equation system is presented below;
10x - 3y = 29 .........equation 1
-3x + 10y = 55 ..........equation 2
As a result of subtracting equation (2) from equation (1), we get;
By subtracting equivalent expressions, (10x - 3y) - (-3x + 10y) = 29 - 55.
13x - 13y = 29 - 55 = -26
Provided that the operation on equations (1) and (2) is the same, the given equation is 13x - 13y = -26.
We can see from the subtraction of equivalent representations that the solution for the
The solution for given equation, 13x - 13y = -26, is like the solution for given equation.
The reason why 13x - 13y = -26 has the same solution as the system of equations is that -3x + 10y is equal to 55, so we can subtract -3x + 10y from the left side of 10x - 3y = 29 and subtract 55 from the right side.
Thus, subtracting equivalent representations from each side of the an equation has no effect on the equation's solution.
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use the law of detachment.
If you pass the final, then you pass the class. You passed the final.
so a lot of detachment is really just a former way of saying, like if then so it's if you pass a final, then you pass the class. You passed the final.
Therefore you pass the class, right? So it's the law of attachment basically says, Okay, if U then D and we're just told that U is true.
Mark had some money. He gave half of that to his brother and then he gave another $5 to his sister. He now has $20. How much money did Mark have in the beginning?
Answer:
45 $
Step-by-step explanation:
20 x 2 = 40
40 + 5 = 45
i need help with this please
Answer:212
Step-by-step explanation: 36 plus 36 40 plus 40 29 plus 29 19 plus ten then add the sums then u get 212
Select the two categories that would yield quantitative data.
a.) gender of pet
b.) weight of pet
c.) color of pet
d.) type of pet
e.) age of pet
Weight of pet & age of pet are the two categories that would yield quantitative data.
What foundation does qualitative data have?
Information that cannot be quantified, counted, or simply stated using numbers is referred to as qualitative data. Data visualization technologies like word clouds, idea maps, graph databases, timelines, and infographics are used to communicate the information that is gathered from text, audio, and visual sources.Which two sorts of quantitative data are there?
There are two forms of quantitative data: discrete data and continuous data. Interval and ratio data are subsets of continuous data. Quantitative data consists of numerical values and their associated numerical attributes.Weight of pet & age of pet are the two categories that would yield quantitative data because both quantity can measured or counted.
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Find the measurement of each marked angle
Answer:
see below
Step-by-step explanation:
The interior angle of the triangle on the right is 180 - ( 9x+12)
this plus the other two sum to 180 degrees
180 - (9x+12) + 4x-3 + 6x + 3 = 180
x = 12
then the angles are 6(12) + 3 = 75 4(12) -3 = 45 and 60°
Deb wants to organize a group of friends to go to a karaoke studio Friday night. She must pay $30 to reserve a private karaoke room plus $5 for each person in the group. She also wants to have snacks for the group at a cost of $2 per person. How many people can Deb invite in order to spend a total of $65?
Fill in the blanks to create an equation to represent the situation.
blank x + 2x + blank = 65
Based on the solution below, the number of people Deb can invite in order to spend a total of $65 is 5 people.
How do we use an equation to find a number?Given:
blank x + 2x + blank = 65 ............................... (1)
Where:
x = Number of people Deb can invite
First blank with x variable = 5; since Deb must pay an additional $5 for each person in the group
Second blank without x variable = 30; since Deb $30 to reserve a private karaoke room
Substituting the relevant values into equation (1) and solving for x, we have:
5x + 2x + 30 = 65
7x = 65 - 30
7x = 35
x = 35 / 7
x = 5
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graph the equation
picture below
please help 100 points and brainlest
What is the equation of the line that is parallel to the given line and passes through the point (–2, 2)?
A. y=1/5x+4
B. y=1/5x+12/5
C. y=-5x+4
D. y=-5x+12/5
The slope of the line shown is 1/5, and being parallel means having the same slope. So it’s either a or b.
Next, you plug in (-2, 2) into y=1/5x+b to find b.
Solving you get: 2=1/5 * -2 +b
2=-2/5+b
B=2 2/5
12/5 = 2 2/5
So the answer is b.
Hope this helps!
Classify the polynomial by degree and number of terms
v4 - 3v² +5v + 10
The graph of y=
-2x²5x+2 is drawn below
Draw a suitable line to solve -2x² - 5x + 2 = -5
Answer:
x = 1 and x = -3.5
Step-by-step explanation:
y = -2x² -5x + 2
-2x² -5x + 2 = -5
which means y = -5
Draw the line on y = -5 like the green line in the attached file
and see where this line intersects with the graph
the values are:
x = 1 and x = -3.5
Answer:
Draw a line at y = -5.
x ≈ -3.5
x ≈ 1
Step-by-step explanation:
Given equation:
[tex]y = -2x^2 - 5x + 2[/tex]
This is the equation of the graphed parabola.
To solve the equation [tex]-2x^2 - 5x + 2 = -5[/tex] draw a line at y = -5 and find the points of intersection of the two graphed equations.
From inspection of the graph, the x-values of the points of intersection are:
x ≈ -3.5x ≈ 1Solving algebraically
Add 5 to both sides of the equation:
[tex]\implies -2x^2-5x+2+5=-5+5[/tex]
[tex]\implies -2x^2-5x+7=0[/tex]
Factor out -1 from the left side:
[tex]\implies -1(2x^2+5x-7)=0[/tex]
Divide both sides by -1:
[tex]\implies 2x^2+5x-7=0[/tex]
Find two numbers that multiply to -14 and sum to 5: 7 and -2
Rewrite b as the sum of these two numbers:
[tex]\implies 2x^2+7x-2x-7=0[/tex]
Factor the first two terms and the last two terms separately:
[tex]\implies x(2x+7)-1(2x+7)=0[/tex]
Factor out the common term (2x + 7):
[tex]\implies (x-1)(2x+7)=0[/tex]
Apply the zero-product property:
[tex](x-1)=0 \implies x=1[/tex]
[tex](2x+7)=0 \implies x=-\dfrac{7}{2}=-3.5[/tex]
Try It
Which are solutions of the equation 4x² - 7x= 3x + 24? Check all that apply.
We get that the solution for the equation 4 x² - 7 x = 3 x + 24 as 4 or 3 / 2.
We are given an equation:
4 x² - 7 x = 3 x + 24
We need to solve it for x.
4 x² - 7 x - 3 x = 24
4 x ² - 10 x = 24
4 x ² - 10 x - 24 = 0
4 x² - 16 x + 6 x - 24 = 0
4 x( x - 4) + 6( x - 4) = 0
(x - 4)(4 x + 6) = 0
Solving for x, we get that:
x = 4 or x = 6 / 4 = 3 / 2.
Therefore, we get that the solution for the equation 4 x² - 7 x = 3 x + 24 as 4 or 3 / 2.
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Find constants and in the function ()= such that (12)=1 and the function has a local maximum at =12
When the function changes from increasing to decreasing, a local maximum occurs. The value of a = 5e.
What is meant by local maximum?A local maximum point on a function is a point (x, y) on the function's graph whose y coordinate is greater than all other y coordinates on the graph at "close to" points (x, y).
When the function changes from increasing to decreasing, a local maximum occurs. This means that the function's derivative will shift from positive to negative.
Let the function be [tex]&F(x)=a x e^{b x} \\[/tex]
[tex]&F '(x)=d / d x\left(a x e^{b x} ) \\[/tex]
[tex]&=a(d / d x)\left(x e^{b x}) \\[/tex]
simplifying the above equation, we get
[tex]&=a\left[\left(d / d x* x\right) e^{b x} +\left(x* d / d x* e^{b x} )\right] \\[/tex]
[tex]&=a\left[e^{b x} +b x e^{b x} \right] \\[/tex]
[tex]$&=a[1+b x] e^{b x}[/tex]
For critical points, set [tex]$f^{\prime}(x)=0$[/tex] and solve for x
[tex]&a[1+b x] e^{b x} =0 \\[/tex]
simplifying the above equation, we get
1 + bx = 0
bx = -1
x = -1/b
The value of x = -1/b
Given that f(x) has local max at 1/5, critical point x = 1/5 then
-1/5 = -1/b
Therefore, b = -5
[tex]&F(x)=a x e^{-5x}\\[/tex]
[tex]&F(1 / 5)=a / 5 e^{-1}\\[/tex]
1 = a/5e
Therefore, the value of a = 5e.
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solve:
2(3x-2)+5x-3=2
SHOW ALL STEPS
Answer:
x = 9/11
Step-by-step explanation:
distribute the 2:
6x - 4 + 5x - 3 + 2
combine like terms:
11x - 7 = 2
add 7 to both sides:
11x = 9
divide by 11 to isolate x:
x = 9/11
Step-by-step explanation:
Distribute 2 to 3x-2
[tex]6x - 4 + 5x - 3 = 2[/tex]
Them combined like terms
[tex]11x - 7 = 2[/tex]
Then add 7 to both sides
[tex]11x = 9[/tex]
Then divide by 11 and get
[tex] \frac{9}{11} [/tex]
Is the inequality always, sometimes, or never true?
Answer:
Never true
Step-by-step explanation:
2x - 5 < 2(x - 3) first multiply 2 with the inside the parenthesis
2x - 5 < 2x - 6
now when we simplify the inequality 2x on the both sides will be eliminated and we will be left with:
(-5) < (-6) which cannot be true because (-5) is closer to 0 in number line so it's bigger then (-6) not smaller
Therefore the answer is "Never true"
Calculus Derivative Question
(a) Differentiate [tex]s(t)[/tex] to get the velocity.
[tex]s(t) = \cos(t^2 - 1)[/tex]
Use the chain rule.
[tex]u = t^2 - 1 \implies \dfrac{du}{dt} = 2t[/tex]
[tex]s(u) = \cos(u) \implies \dfrac{ds}{du} = -\sin(u)[/tex]
[tex]\implies \dfrac{ds}{dt} = \dfrac{ds}{du} \dfrac{du}{dt} = \boxed{-2t\sin(t^2-1)}[/tex]
(b) Evaluate the derivative from (a) at [tex]t=0[/tex].
[tex]\dfrac{ds}{dt}\bigg|_{t=0} = -2\cdot0\cdot\sin(0^2-1) = \boxed{0}[/tex]
(c) The object is stationary when the derivative is zero. This happens for
[tex]-2t \sin(t^2 - 1) = 0[/tex]
[tex]-2t = 0 \text{ or } \sin(t^2 - 1) = 0[/tex]
[tex]t = 0 \text{ or } t^2 - 1 = n\pi[/tex]
(where [tex]n[/tex] is any integer)
[tex]t = 0 \text{ or } t = \pm\sqrt{n\pi + 1}[/tex]
We omit the first case. In the second case, we must have [tex]n\ge0[/tex] for the square root to be defined. Then in the given interval, we have two solutions when [tex]n=\in\{0,1\}[/tex], so the times are
[tex]t_1 = \sqrt{1} = \boxed{1}[/tex]
[tex]t_2 = \boxed{\sqrt{\pi + 1}} \approx 2.035[/tex]
(d) A picture is worth a thousand words. See the attached plot. If you're looking for a verbal description, you can list as many features of the plot as are relevant, such as
• intercepts (solve [tex]s(t)=0[/tex] to find [tex]t[/tex]-intercepts and evaluate [tex]s(0)[/tex] to find the [tex]s[/tex]-intercept)
• intervals where [tex]s(t)[/tex] is increasing or decreasing (first derivative test)
• intervals where [tex]s(t)[/tex] is concave upward or concave downward (second derivative test; at the same time you can determine any local extrema of [tex]s(t)[/tex], which you can see in the plot agrees with the critical points found in (c))
what is this i need help ASAP
Answer:
The first and fourth statement.
Step-by-step explanation:
1. - 3 - 12/3 + 5
= - 3 - 4 + 5
= - 7 + 5
= - 2
- 2 < 0
4. 4 - 2 - 3/2
= 2 - 3 / 2
= 1 / 2
1 / 2 > 0
Hope this helped! ^^
Sidenote: If you need me to explain for 2, 3 and 5, comment below this and I'll explain.
Identify the name of the picture
Answer:
A blank one
Step-by-step explanation:
There's no picture
Answer:
Sussy
Step-by-step explanation:
1. There is nothing
2. Imposters are barely visible.
3. Your welcome
which point is the solution-2x +3y>1 -5x+6y..
A point is the solution of the inequality expression given as: -2x + 3y > 1 - 5x + 6y is (0, -2/3)
How to determine the point is the solution?The inequality expression is given as:
-2x + 3y > 1 - 5x + 6y
Collect the like terms in the above expression
So, we have:
3y - 6y > 1 + 2x - 5x
Evaluate the like terms in the above expression
So, we have:
-3y > 1 - 3x
Divide both sides by -3
y < -1/3 + x
Let x = 0
So, we have
y < -1/3
This means that a point in the solution is
(x, y) = (0, < -1/3)
-2/3 < -1/3
So, we have
(x, y) = (0, -2/3)
Hence, a point is the solution of the inequality expression given as: -2x + 3y > 1 - 5x + 6y is (0, -2/3)
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Does (9, 7) make the equation y = x + 2 true?
Answer:
no
Step-by-step explanation:
y = 9 + 2 is 11 not 7
