Answer:
P( -1.96 ≤ Z≤ 1.96) = 0.95
Step-by-step explanation:
Explanation:-
Given that the z -scores -1.96 and 1.96
we have to find P( -1.96 ≤ Z≤ 1.96)
P( -1.96 ≤ Z≤ 1.96) = |A(1.96)+A(-1.96)|
= |A(1.96)+A(-1.96| (∵A(-Z) = A(Z))
= 0.4750+0.4750
= 2×0.4750
= 0.95
The probability lies between -1.96 to 1.96
P( -1.96 ≤ Z≤ 1.96) = 0.95
A scientist wanted to measure the constant rate of the current in a particular section of the river. She released a tracker into the river. The tracker sent her back the following information:
After 3.5 seconds since the tracker was released into the river the tracker had traveled 5.5 meters.
After 10.9 seconds since the tracker was released into the river the tracker had traveled 16.5 meters.
What is the constant rate of the current?
Answer:
1.486m/s
Step-by-step explanation:
The rate of change is defined as the change in distance divided by the change in time
Rate = ∆distance/∆time
Distance = 16.5 and 5.5
Time = 10.9 and 3.5
When we put this into the formula above, we have:
Rate of change = 16.5 - 5.5 / 10.9 - 3.5
= 11/7.4
= 1.486m/s
The constant rate of change has been calculated to be equal to 1.486m/s
You can use the fact that the rate of the change of a value when some other independent value changes is the ratio of change in the dependent variable to the change in the independent variable.
The constant rate of the current is given by 1.4865 meters per second.
How to measure the rate of change of something as some other value changes?Suppose that we have to measure the rate of change of y as x changes, then we have:
[tex]Rate = \dfrac{y_2 - y_1}{x_2 - x_1}[/tex]
where we have
[tex]\rm when \: x=x_1, y = y_1\\when\: x = x_2, y= y_2[/tex]
Remember that, we divide by the change in independent variable so that we get some idea of how much the dependent quantity changes as we change the independent quantity by 1 unit.
(5 change per 3 unit can be rewritten as 5/3 change per 1 unit)
How to measure the constant rate of the current for the given situation?The distance traveled by the tracker depends on the time passed.
Let the variable "t" tracks the amount of time passed and let the variable "d" tracks the distance traveled by the tracker, then we have:
[tex]\rm At \: t = t_1 = 3.5, d=d_1 = 5.5 \: m\\At \: t = t_2 = 10.9, d = d_2 = 16.5 \: m[/tex]
Thus, the constant rate of current is obtained by
[tex]Rate = \dfrac{d_2 - d_1}{t_2 - t_1} = \dfrac{16.5 - 5.5}{10.9 - 3.5} = \dfrac{11}{7.4} \\\\Rate \approx 1.4865 \: \text{meters per second}[/tex]
Thus,
The constant rate of the current is given by 1.4865 meters per second.
Learn more about rate of change here:
https://brainly.com/question/2460159
Plz help! Answer at least one of these questions and i will give you brainly! It’s ok if you don’t know them all!
The hikers could only hope that they would soon be
(52)
The drone of a helicopter's engines on 8 February 2018 must have been music to the
(53)
of Mr Dominick Tan and Ms Lum Jie. The rescue of the duo ended a search-and-rescue
(54)
that started on the evening of 5 February 2018. It
of a team of 90 police officers, park
(55)
rangers, firefighters and volunteers.
Answer:
(52) rescued.
(53) ears
(54) mission
(55) consisted
Step-by-step explanation:
If a cylinder with height 9 inches and radius rr is filled with water, it can fill a certain pitcher. How many of these pitchers can a cylinder with height 9 inches and radius 3r3r fill?
Answer:
9 pitchers
Step-by-step explanation:
Given
Cylinder 1:
[tex]Radius = r[/tex]
[tex]Height = 9[/tex]
Cylinder 2:
[tex]Radius = 3r[/tex]
[tex]Height = 9[/tex]
Required
How many pitchers' cylinder 2 can fill
First, we calculate the volume of both cylinders
Volume is calculated as:
[tex]Volume = \pi r^2h[/tex]
For A:
[tex]V_A = \pi r^2*9[/tex]
[tex]V_A = 9\pi r^2[/tex]
For B:
[tex]V_B = \pi (3r)^2 * 9[/tex]
[tex]V_B = \pi *9r^2 * 9[/tex]
[tex]V_B = 9* 9\pi r^2[/tex]
In (a): [tex]V_A = 9\pi r^2[/tex]
So, we have ve:
[tex]V_B = 9*V_A[/tex]
[tex]V_B = 9V_A[/tex]
If the first cylinder can fill 1, then the second can fill 9 pitchers
A quadrilateral had two angles thst measure 260degrees amd 50 degrees. The other two angles are in a ratio of 2:3. What are the measures of those two angles.
Step-by-step explanation:
Here's another solution.
360-275-20=65
ratio 3:10
3x+10x=65
13x=65
x=5
5*3=15° and 5*10=50°
15° and 50° are the other two angles
4 x 2/3 is less than 2/3 , since 2/3 is less than 1 is true or false ?
Answer = FALSE because
4×2/3 = 4
it less than 2/3 since 2/3 = 0
so answer will be false
Alex has 100. He spends 3/10of it on candies. He spends one-seventh of what's left on colour pencils. How
much money is Alex left with?
Answer:
$60
Step-by-step explanation:
3 tenths of 100 is 30
1 * 10 is 10
100 - 30 + 10
= 100 - 40
= $60
Which expression is equivalent to
14x-21
7
A. 2x - 21
B. 2x-3
c. 7x - 28
D. 7x - 14
Answer:
B. 2x-3
Step-by-step explanation:
14 and 21 have a common factor which is 7 so divide both by 7 to get 2x-3.
Answer:b
Step-by-step explanation: took the test
841 rounded to the nearest 10th
The answer is 840.
I hope am right
What is the value of y?
3
4
5
6
Answer:
Step-by-step explanation:
2y+4=10
we will subtract 4 from both sides
2y=10-4
2y=6
y=3
Answer:
3is your answer
2y+4=10
2y=10-4
y=6/2=3
A student wrote and simplified an expression to find the perimeter of this 5 points
rectangular garden. The student made an error. Which step did the
student make the mistake? *
2x
5x + 1
Step 1: 5x + 1 + 5x + 1 + 2x + 2x
Step 2: 14x + 1 + 1
Step 3: 14x + 2
Step 4: 16x
Answer:
Step 4.
You can’t add 14x and 2
you have 60 oz of egg noodles. yiu need 5 oz to make one serving of chicken noodle soup. how maby servings can you make
Answer:
The answer is 12
Step-by-step explanation:
You have to divide 5 and 60 or you can multiply by 5 until you get to 60.
Answer:
12
Step-by-step explanation:
60/5=12
please help, I legit don't know what to do
Answer:
Step-by-step explanation:
Graph given in the attachment represents a linear function f(x).
y = -f(x) represents the reflection of the graph across x-axis.
Therefore, y-coordinates of the points on the graph will get opposite notation after the reflection across x-axis.
Points on the graph of function f(x) are,
(0, -2), (2, 0), (4, 2) and (5, 1)
Therefore, points for the graph y = -f(x) will be,
(0, 2), (2, 0), (4, -2) and (5, -1)
Now we can plot these points to get the graph of y = -f(x)
What is 3+3!!??!!??!!??!!??!!??!!??
Answer:
6
Step-by-step explanation:
cause 3+3 is 6
thanks for the easy points :3
Answer:
id.kkkkk.. maybe 5.. maybe 6...
:O
Question 3 (2 points) (06.01) What is the value of the expression 24 + 32? (2 points) Blank 1:
The answer is 56....
hope it helps.
25 would be the answer. Here's what you need to do!! :)
-
-
-
Explanation:
I think you meant [tex]2^{4}[/tex] and [tex]3^{2}[/tex]. With exponents, you don't add the number and the exponent. What you have to do is the first number times itself, and let's use number one as an example. So, since it's four you have to do this.
-
-
[tex]2^4[/tex]= 2 x 2 x 2 x 2= 16
and for problem number two, it's the same thing but different numbers.
[tex]3^{2}[/tex]= 3 x 3 x 3= 9
-
-
now, all you have to do is add [tex]16+9= 25[/tex]
Again, the answer is 25. Hope this helps anybody who's currently working on this!! <3
Complete the square to: n2 + 4n - 8 = 0
Answer:
(n + 2)² = 12
Step-by-step explanation:
[tex] {n}^{2} + 4n - 8 = 0 \\ {n}^{2} + 4n = 8 \\ {n}^{2} + 4n + 4 = 8 + 4 \\ {(n + 2)}^{2} = 12[/tex]
show that the function below even or odd. f(x) = 3 X5 / 1+X3
Answer:
i think the answer is
[tex]f(x) = \\ - \frac{45x {}^{2} }{(1 + x {}^{3}) {}^{2} }[/tex]
Choose the inequality that represents the following graph.
Answer:
a
Step-by-step explanation:
the answer is a because the rrow is pointing right so the symbol is > and the point starts at -5
Why is it reasonable to use the same units to describe circles and measure of angles?
Answer:
The more familiar unit of measurement is that of degrees. A circle is divided into 360 equal degrees, so that a right angle is 90°.
Explanation:
The unit circle, or trig circle as it's also known, is useful to know because it lets us easily calculate the cosine, sine, and tangent of any angle between 0° and 360° (or 0 and 2π radians)
Solve for x in the following equation.
6x=72
X=?
what is the solution for 5(m-3) ≥ 7m-2.4 ?
Answer:
Step-by-step explanation:
5(m-3)≥7m-2.4
5m-15≥7m-2.4
2m≤-12.6
m≤-6.1
Answer:
m>6.3
Step-by-step explanation:
A cliff Diver jumps from 50 feet into a lake. After hitting the water he travelled 22 feet below the surface. How far did he travel?
Add both distances together:
50 + 22 = 72 feet total distance.
Which pair of functions are inverses?
A.f(x) = 2x + 1, g(x) = 2x - 1
B. f(x)=3x+2. g(x)= 1/3x-2/3
C. f(x) = 4x, g(x) = -4x
D. f(x)= x+1/5, g(x)= x+5
Answer:
3
Step-by-step explanation:
2 plus 1 is 3
Jyoti is four times older than her daughter after 5 years Jyoti age will be three times of the age of her daughter find their present ages.
Answer:
possible answer: 44- parent/ 14 yrs old daughter.
Sorry if i'm wrong
Step-by-step explanation:
I need help on this :)
Answer:
<
Step-by-step explanation:
Need points :(
Answer:
Step-by-step explanation:
x+23+x=90
2x=67
x=33.5
Write a second inequality with the same meaning -12<= a
Answer:
a[tex]\geq[/tex]-12 or -48[tex]\leq[/tex]4a
Step-by-step explanation:
H E L P ! !
The cover of a memo book must have an area of 115 cm^2. Approximately, to the nearest tenth of a centimeter, how long should each side be to make a square cover?
Answer:
10.7cm
Step-by-step explanation:
x^2= 115
x = √115
x = 10.7
Hellllllllppppp meeeee
Answer:
x=18°
Step-by-step explanation:
5x-18=4x
subtract 4x from both sides
x-18=0
add 18 to both sides
x=18°
is 8.2 and 5.15 proportional
I need help ASAP will mark you the brainliest
Answer:
The similarity is they are using tools to help them make the lines, but the differences are they are using different tools to make different lines. While 1 of the tools is similar to the other
Step-by-step explanation: