Answer:
The z-score for a pulse rate of 147.6 beats per minute is 6.46 > 2, which means that this pulse rate is significantly high.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
By the Range Rule of Thumb, if Z < -2, the measure X is significantly low, and if Z > 2, the measure X is significantly high.
Mean of 75.2 beats per minute and a standard deviation of 11.2 beats per minute.
This means that [tex]\mu = 75.2, \sigma = 11.2[/tex]
Is a pulse rate of 147.6 beats per minute significantly low or significantly high?
We have to find Z when X = 147.6. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{147.6 - 75.2}{11.2}[/tex]
[tex]Z = 6.46[/tex]
The z-score for a pulse rate of 147.6 beats per minute is 6.46 > 2, which means that this pulse rate is significantly high.
PLEASE ANSWER ASAP FOR BRAINLEST!!!!!!!!!!!!!!!!!
Answer: C) Next year, 7 out of every 60 students will be taking music.
Step-by-step explanation:
A is wrong because it is an opinion which a table cannot prove.
B is wrong because it says "A representative sample of 60 students) while the answer incorrectly says 30.
C is correct because on the table it says 7 people are taking music and correctly identifies that it's out of 60 students.
D is incorrect for the same reason B is incorrect except this time it says 120.
Oliver is building a rectangular dog pen with an area of 18.9 square feet. If the length of the dog pen is 6.3 feet, what is the width?
Answer:
3 feet
Step-by-step explanation:
A = l x w Formula
18.9 = 6.3 x w Substitution
18.9/6.3 = w Division
3 = w Solution
A
2x+5
x² + 5x + 6
x² + 5x+6
B
2x+5
Answer:
what is the question?
Step-by-step explanation:
answer the question
Find the equation of a line with a slope of −1/2 that passes through the point −4, 10
Answer:
y - 10 = -1/2(x + 4)
General Formulas and Concepts:
Algebra I
Coordinates (x, y)
Point-Slope Form: y - y₁ = m(x - x₁)
x₁ - x coordinate y₁ - y coordinate m - slopeStep-by-step explanation:
Step 1: Define
Identify variables
m = -1/2
Point (-4, 10) → x₁ = -4, y₁ = 10
Step 2: Find
Substitute in variables [Point-Slope Form]: y - 10 = -1/2(x - -4)Simplify: y - 10 = -1/2(x + 4)Answer: [tex]y=-\frac{1}{2} x+8[/tex]
Step-by-step explanation:
An equation of a line can be in slope intercept form which is y=mx+b
m is the slope, b is the y intercept, x it the x coordinate, and y is the y coordinate. Since we know the slope is -1/2 and we know a x coordinate is -4 and a y coordinate is 10 we can sub them in and solve for the value of b.
[tex]y=mx+b\\10=(-\frac{1}{2})(-4)+b\\10=2+b\\10-2=2+b-2\\8=b[/tex]
The value of b is 8. We can now sub it in for our equation of the line. This time with x and y as variables.
y=-1/2x+8
A bag contains 4 red marbles, 3 blue marbles, and 7 green marbles. If a marble is randomly selected from the bag, find
the probability that a blue marble will be drawn.
a. 1
1
7
C.
b.
1
d.
3
11
14
Please select the best answer from the choices provided
B
оооо
Answer:
3/14
Step-by-step explanation:
Probability = # of favorable outcomes / # of possible outcomes
Favorable outcomes = we want to find the probability of pulling a blue marble. There are 3 blue marbles so 3 is the number of favorable outcomes
Possible outcomes: to find the number of possible outcomes we simply find the total number of marbles
3 + 7 + 4 which equals 14
So possible outcomes = 14
We now plug in the values into the probability formula
The probability of pulling a blue marble is 3/14
Answer:
3/14
Step-by-step explanation:
you add the red marbles, blue marbles, and green marbles together, which equal 14. Out of the 14, there are only 3 blue marbles so it would be 3/14.
m.ng giúp mình về phần vector trong ma trận nha
Answer:
maybe if u translate it in English
Step-by-step explanation:
it wouldv been helpful if u mind?
I need the answer. Please help me
C = 25 deg
a ≈ 10.72 ft
b ≈ 11.83 ft
Answer:
C = 25
a = 10.72
b = 11.83
Step-by-step explanation:
C:
Solve; 180 - (90 + 65)
a:
Tan(65) = a/5
Tan(65) * 5 = a
10.72 = a
b:
Cos(65) = 5/b
Cos(65) * b = 5
b = 5 / Cos(65)
b = 11.83
Hope this helps!
Find the area of this circle. Use 3 for T.
Α = πη2
5 in
[?] in?
Hope this help!!!
Have a nice day!!!
Encuentra el resultado de la ecuación mediante la formula general
Step-by-step explanation:
de hecho, la respuesta está en la imagen de arriba
X Y
-10 2
-15 3
-25 5
Determine whether y varies directly with x. If so, find the constant of variation and write the equation
Answer:
x = -5y
Step-by-step explanation:
x = ay
-10 = 2a
a = -5
x = ay
-15 = 3a
a = -5
x = ay
-25 = 5a
a = -5
3. Find the value of X (In the picture) (giving points to best answer/brainlest)
Answer:
101 =x
Step-by-step explanation:
The measure of the exterior angle is equal to the sum of the opposite interior angles
143 = 42+x
Subtract 42 from each side
143-42 = 42+x-42
101 =x
Answer:
x = 101 degrees
Step-by-step explanation:
The sum of the external angle and its adjacent is 180 degrees
143 + y = 180
y = 37 degrees
The sum of the inner angles of a triangle is 180 degrees
37 + 42 + x = 180
79 + x = 180
x = 101 degrees
what’s “24 increased by a number y is 41” as an equation?
Answer:
24 + y = 41
y = 17
Step-by-step explanation:
24 + y = 41
y + 24 = 41
y + 24 - 24 = 41 - 24
y = 17
PLEASE HELP ME I HAVE TO PASS THIS TEST
30 POINTS
Answer:
Hi, there the answer is
These are the equations with exactly one solution
-5x + 12 = –12x – 12
-5x + 12 = 5x + 12
-5x + 12 = 5x – 5
Hope This Helps :)
Step-by-step explanation:
First degree equations
A first degree equation has the form
ax + b = 0
There are some special cases where the equation can have one, infinitely many or no solution
If , the equation has exactly one solution
If a=0 and b=0 the equation has infinitely many solutions, because it doesn't matter the value of x, it will always be true that 0=0
If a=0 and the equation has no solution, because it will be equivalent to b=0 and we are saying it's not true. No matter what x is, it's a false statement.
We have been given some equations, we only need to put them in standard form
-5x + 12 = –12x – 12
Rearranging
7x + 24 = 0
It has exactly one solution because a is not zero
.......................
-5x + 12 = 5x + 12
Rearranging
-10x + 0 = 0
It has exactly one solution because a is not zero
.......................
-5x + 12 = 5x – 5
Rearranging
-10x + 17 = 0
It has exactly one solution because a is not zero
.......................
-5x + 12 = -5x – 12
Rearranging
0x + 24 = 0
It has no solution, no matter what the value of x is, it's impossible that 24=0
Answer: These are the equations with exactly one solution
-5x + 12 = –12x – 12
-5x + 12 = 5x + 12
-5x + 12 = 5x – 5
What is the mean of the data?
Answer:
The mean (average) of a data set is found by adding all numbers in the data set and then dividing by the number of values in the set. The median is the middle value when a data set is ordered from least to greatest. The mode is the number that occurs most often in a data set.
PLEASE HELP! I really need to get this right
Answer:
27.3
Step-by-step explanation:
27.3
Answer:
Plays a musical instrument
Top left
Plays a sport: 0.46
Plays a musical instrument
Top right
Does not Play a sport: 0.54
Does not play a musical instrument
Bottom Left
Plays a sport: 0.73
Does not play a musical instrument
Bottom right
Does not Play a sport: 0.27
Step-by-step explanation:
I hope this helps you! :D
The number of adults who attend a music festival, measured in hundreds of people, is represented by the function a(d)=−0.3d2+3d+10, where d is the number of days since the festival opened.
The number of teenagers who attend the same music festival, measured in hundreds of people, is represented by the function t(d)=−0.2d2+4d+12, where d is the number of days since the festival opened.
What function, f(d) , can be used to determine how many more teenagers than adults attend the festival on any day?
f(d)=−0.1d2+d+22
f(d)=0.1d2+d+2
f(d)=−0.1d2+7d+2
f(d)=0.1d2+7d+2
Answer:
f(d)=0.1d^2+d+2
Step-by-step explanation:
t(d)=−0.2d2+4d+12
a(d)=−0.3d2+3d+10
how many more teenagers than adults attend the festival on any day?
==>
f(d) = t(d) - a(d)
=0.1d^2+d+2
Find the surface area of each solid figure
Answer:
First find the SA of the triangular figure
4 x 3 = 12 cm^2 (the triangles on the sides)
2 x 3 = 6 cm^2 (the back square)
2 x 5 = 10 cm^2 (the slanted square)
*I'm not sure if this question includes the bottom of the triangle but here it is anyways
4 x 2 = 8 cm^2
Including the bottom the SA of the triangular figure is:
12 + 6 + 10 + 8 = 36 cm^2
Find the SA of the rectangular shape
4 x 2 = 8 cm^2 (the bottom square)
2 x 6 = 12 x 2 = 24 cm^2 (the sides)
4 x 6 = 24 x 2 = 48 cm^2 (the front and back)
Add them up
8 + 24 + 48 = 80 cm^2
If you wanted to find the SA of the whole figure it would be:
12 + 6 + 10 + 8 + 24 + 48 = 108 cm^2
Hope this helps!
Find all real zeros of the function y = -7x + 8
9514 1404 393
Answer:
x = 8/7
Step-by-step explanation:
The only real zero of this linear function is the value of x that makes y=0:
0 = -7x +8
7x = 8 . . . . . . add 7x
x = 8/7 . . . . . .divide by 7
Use implicit differentiation to find an equation of the tangent line to the curve at the given point. y2(y2 − 4) = x2(x2 − 5) (0, −2) (devil's curve)
Answer:
Step-by-step explanation:
Given that:
[tex]y^2 (y^2-4) = x^2(x^2 -5)[/tex]
at point (0, -2)
[tex]\implies y^4 -4y^2 = x^4 -5x^2[/tex]
Taking the differential from the equation above with respect to x;
[tex]4y^3 \dfrac{dy}{dx}-8y \dfrac{dy}{dx}= 4x^3 -10x[/tex]
Collect like terms
[tex](4y^3 -8y)\dfrac{dy}{dx}= 4x^3 -10x[/tex]
[tex]\dfrac{dy}{dx}= \dfrac{4x^3 -10x}{4y^3-8y}[/tex]
Hence, the slope of the tangent line m can be said to be:
[tex]\dfrac{dy}{dx}= \dfrac{4x^3 -10x}{4y^3-8y}[/tex]
At point (0,-2)
[tex]\dfrac{dy}{dx}= \dfrac{4(0)^3 -10(0)}{4(-2)^3-8-(2)}[/tex]
[tex]\dfrac{dy}{dx}= \dfrac{0 -0}{4(-8)+16}[/tex]
[tex]\dfrac{dy}{dx}= 0[/tex]
m = 0
So, we now have the equation of the tangent line with slope m = 0 moving through the point (x, y) = (0, -2) to be:
(y - y₁ = m(x - x₁))
y + 2 = 0(x - 0)
y + 2 = 0
y = -2
Enlarge the triangle by scale factor 3
Answer:
The triangle will triple in size.
PLEASE HELP!!!
WILL MARK BRAINLIEST!!!
If the diameter of the circle shown below is 6ft and 0 is a right angle, what is the length of segment AB to the nearest foot?
Multiple choice!
Thank you!
Answer:
how old are you gghhjjzetstu9u
Answer:
4 ft
Step-by-step explanation:
let's find radius first
radius=diameter/2
=6/2
=3 ft
radii=3 ft
Now by using pythagoras theorem
a^2 + b^2 = c^2
3^2 + 3^2 =AB^2
9+9=AB^2
18=AB^2
[tex]\sqrt{18}[/tex] AB
4.24 =AB
4 ft =AB (after converting to nearest foot)
If anyone can do this for me step by step i will give you 30 points please help me out
Answer:
after 10 months
Step-by-step explanation:
Let x be the number of months and y be the amount they still owe.
Sin Ian borrows $1000 from his parents, then the y-intercept b= 1000 since he owes $1000 when x = 0. He pays them back $60 each month The slope is then m = -60 . Substituting in b = 1000 and m = -60 into the slope-intercept form of a line then gives y= mx + b=-60x +1000.
Sin Ken borrows $600 from his parents, then the y-intercept b = 600 since he owes $600 When x= 0. He pays them back $20 per month so the amount he owes decreases $20 each month. The slope is then m = -20 . Substituting in
b= 600 and m = -20 into the slope-intercept form then gives y = mx +b = -20x + 600.
They will owe the same amount when they have the same y-coordinate. Therefore -60x+ 1000= y= -20x+600. Solve this equation for x:
-60x+ 1000 = -20x+ 600
1000 = 40x+ 600
400 = 40x
10=x
They will then owe the same amount after 10 months.
What is the zero of the function represented by this graph?
Lori downloaded all the pictures she took at Rita’s wedding into a single computer folder. She took 86 of the 134 pictures with her camera and the remainder of them with her cell phone. Of the pictures Lori took with her cell phone, one out of every five was blurry.
Answer:
87
Step-by-step explanation:
Patel squeezed oranges so that his family could have fresh-squeezed juice for breakfast. He squeezed StartFraction 4 over 17 EndFraction cups from the first orange, StartFraction 3 over 10 EndFraction cups from the second orange, StartFraction 9 over 20 EndFraction cups from the third orange, StartFraction 3 over 11 EndFraction cups from the fourth orange, and StartFraction 7 over 15 EndFraction cups from the fifth orange. Patel estimates that he needs 3 cups of orange juice for his family. About how much more orange juice does he need to reach his estimate?
Answer:
A. 1/2 cups
Step-by-step explanation:
13/15 is close to 1
1/5 is a small amount
9/20 is just over 1/2
5/11 is just under 1/2
7/15 is just under 1/2
Estimate: 1 + 1/2 + 1/2 + 1/2 + a little = 2 1/2
He needs 3 cups, so he needs another 1/2 cup.
Answer: A. 1/2 cups
Answer:
it a 1/2
Step-by-step explanation:
SOMEONE HELP ME PLEASE
find the real fifth root of -32
Answer: -2
This is because (-2)^5 = -32. Applying the fifth root to both sides lets us say [tex]-2 = \sqrt[5]{-32}[/tex]
There are four other roots but they are complex. Effectively, we are solving the equation [tex]x^5 + 32 = 0[/tex]
Prove the formula that:
((∃x)(F(x)∧S(x))→(∀y)(M(y)→W(y)))∧((∃y)(M(y)∧¬W(y)))
⇒(∀x)(F(x)→¬S(x))
Step-by-step explanation:
Given: [∀x(L(x) → A(x))] →
[∀x(L(x) ∧ ∃y(L(y) ∧ H(x, y)) → ∃y(A(y) ∧ H(x, y)))]
To prove, we shall follow a proof by contradiction. We shall include the negation of the conclusion for
arguments. Since with just premise, deriving the conclusion is not possible, we have chosen this proof
technique.
Consider ∀x(L(x) → A(x)) ∧ ¬[∀x(L(x) ∧ ∃y(L(y) ∧ H(x, y)) → ∃y(A(y) ∧ H(x, y)))]
We need to show that the above expression is unsatisfiable (False).
¬[∀x(L(x) ∧ ∃y(L(y) ∧ H(x, y)) → ∃y(A(y) ∧ H(x, y)))]
∃x¬((L(x) ∧ ∃y(L(y) ∧ H(x, y))) → ∃y(A(y) ∧ H(x, y)))
∃x((L(x) ∧ ∃y(L(y) ∧ H(x, y))) ∧ ¬(∃y(A(y) ∧ H(x, y))))
E.I with respect to x,
(L(a) ∧ ∃y(L(y) ∧ H(a, y))) ∧ ¬(∃y(A(y) ∧ H(a, y))), for some a
(L(a) ∧ ∃y(L(y) ∧ H(a, y))) ∧ (∀y(¬A(y) ∧ ¬H(a, y)))
E.I with respect to y,
(L(a) ∧ (L(b) ∧ H(a, b))) ∧ (∀y(¬A(y) ∧ ¬H(a, y))), for some b
U.I with respect to y,
(L(a) ∧ (L(b) ∧ H(a, b)) ∧ (¬A(b) ∧ ¬H(a, b))), for any b
Since P ∧ Q is P, drop L(a) from the above expression.
(L(b) ∧ H(a, b)) ∧ (¬A(b) ∧ ¬H(a, b))), for any b
Apply distribution
(L(b) ∧ H(a, b) ∧ ¬A(b)) ∨ (L(b) ∧ H(a, b) ∧ ¬H(a, b))
Note: P ∧ ¬P is false. P ∧ f alse is P. Therefore, the above expression is simplified to
(L(b) ∧ H(a, b) ∧ ¬A(b))
U.I of ∀x(L(x) → A(x)) gives L(b) → A(b). The contrapositive of this is ¬A(b) → ¬L(b). Replace
¬A(b) in the above expression with ¬L(b). Thus, we get,
(L(b) ∧ H(a, b) ∧ ¬L(b)), this is again false.
This shows that our assumption that the conclusion is false is wrong. Therefore, the conclusion follows
from the premise.
15
Is 4/pi rational or irrational?
Answer:
Pi is an irrational number, same is pi/4.
Step-by-step explanation:
GIVING BRAINLIEST!!!!!!
Answer:
B-2
Step-by-step explanation:
To find the constant of dilation take the lead of EF and divide it by the length of AB to get (6/3)=2
look at pic 10 pts will mark brainilest WILL HELP OUT W 3 QUESTIONS
Answer:
the answer is b because -(-6) becomes 6 and 6 is greater than 3
Answer: B.
Step-by-step explanation: A. 45 is not less than or equal to 18. I got 45 because 2 negatives make a positive and I got 18 because it was in absolute value bars making it positive. B. 6 is greater than -3. I got 6 because it is in an absolute value bar. C. 32 is not less 28. I used the same steps I used on the others. D. 9 is not greater than or equal to 10.
