Answer:
The calculated value Z = 2.5 > 1.96 at 0.05 level of significance
The null hypothesis is rejected
The Alternative hypothesis is rejected
The EMS director wants to service goal of 12 minutes or less is being achieved
Step-by-step explanation:
Step(i):-
Given that the size of the random sample = 40
Given that the mean of the sample (x ⁻) = 13.25
Given that the standard deviation of the Population = 3.2 minutes
Level of significance = 0.05
The mean of the Population (μ) = 12
Step(ii):-
Null hypothesis:-H₀: (μ) = 12
Alternative Hypothesis: H₁ : μ < 12
Test statistic
[tex]Z = \frac{x^{-}-mean }{\frac{S.D}{\sqrt{n} } }[/tex]
[tex]Z = \frac{13.25-12 }{\frac{3.2}{\sqrt{40} } }[/tex]
Z = 2.5
The tabulated value Z₀.₀₅ = 1.96
The calculated value Z = 2.5 > 1.96 at 0.05 level of significance
The null hypothesis is rejected
The Alternative hypothesis is rejected
Final answer:-
The EMS director wants to service goal of 12 minutes or less is being achieved
Pls help i'm lost il give brainly
Answer:
a= 16
b= -8
c= 6
d= -16
e= -4
Step-by-step explanation:
Answer:
Step-by-step explanation:
A= 16 degrees
B= -8 degrees
C= 6 degrees
D= -16 degrees
E= -4 degrees
The probability that Tristan wins a certain game of chance is 1/4. If he plays the game 120 times, how many times can he expect to win the game? _________ times
He is expected to win about 30 times. 1/4 times 120
need help asap
—————-
Answer:
I believe it's 15,000//B
ABC-DBE. Find the missing side length.
Answer:
x=13.5
Step-by-step explanation:
4.5/6=x/18
cross multiply
6x=18(4.5)
6x=81
x=81/6
x=13.5
two hikers walk on the trans-canada trail for 5.0 h and cover 42km what is there average speed for the trip
Answer:
about 8 km per hour
Step-by-step explanation:
8 kilometers every hour for 5 hours is 40 km wich is very close to 42km. hope this helps
Each side length is doubled. What is the AREA of the new figure?
Answer:
24 square units
Step-by-step explanation:
When the sides are doubled, new figure so obtained will have:
Base (b) = 2*3 = 6 units
Height (h) = 2*4 = 8 units
Area of the figure when each sides are doubled
[tex] = \frac{1}{2} \times b \times h \\ \\= \frac{1}{2} \times 6 \times 8 \\ \\ = 3 \times 8 \\ \\ = 24 \: square \: unite[/tex]
What is the radius of the circle made by Ana’s sister in the green car? Use 3.14 for pi and round your answer to the nearest tenth. Show your work.
Answer:
[tex]r=20.1[/tex]
Step-by-step explanation
[tex]C=\pi d[/tex]
Green car circumfrence = 126 feet
Plug in numbers
[tex]126=3.14d[/tex]
Divide both sides by 3.14
[tex]\frac{126}{3.14} = 40.12...[/tex]
Divide diameter by 2 to find radius
[tex]\frac{40.1}{2} = 20.05[/tex]
round up to [tex]20.1[/tex]
Determine the location of a' after the image
has been dilated with a scale factor of 2
what is the square root of
Answer:
13.42
Step-by-step explanation:
Benson played for 10 minutes after reaching home. He watched television for another 20 minutes before eating his lunch. His lunch, which lasted 20 minutes, was finished at 2:50pm. At what time did Benson reach home?
Answer:
At 2:00.
Step-by-step explanation:
You take 10 minutes off 2:50 for play time add the two 20s together then subtract 40 to get 2:00.
A chili cook-off has adult tickets (a) and child tickets (c) . A group of Visitors buy three adult tickets and two child tickets and pays a total of $26. Another group buys five adult tickets and 3 child tickets and pays $42. Write and solve a system of equations to find the price of each type of ticket. (I just need the equations)
Answer:
Equation 1 would be: 3a+2C
Equation 2 would be: 5a+3C
Step-by-step explanation:
What is the answer please help no links
Answer:
The answer is 432
Step-by-step explanation:
Multiply
The current population of the Earth is estimated to be about 7,440,000,000 people. Express this number using scientific notation.
Answer:
7.44 × 10⁹
Step-by-step explanation:
You would take a decimal point from the last zero to in-between 7 and 4 and see how many places you moved it then write the scientific formula.
9 spaces so it would be 7.44 × 10⁹
The scientific notation of the current population of the Earth will be;
⇒ 7.44 × 10⁹
What is Multiplication?To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.
Given that;
The current population of the Earth is estimated to be about 7,440,000,000 people.
Now,
Since, The current population of the Earth = 7,440,000,000 people
Hence, The scientific notation of the current population of the Earth is written as;
⇒ 7,440,000,000
⇒ 7.44 × 10⁹
Thus, scientific notation of the current population of the Earth is,
⇒ 7.44 × 10⁹
Learn more about the multiplication visit:
https://brainly.com/question/10873737
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Gabrielle is 11 years older than Mikhail. The sum of their ages is 107. What is Mikhail's age?
Answer:
Mikhail's age is 48
Step-by-step explanation:
Answer:
107-11=96
96÷2=48
so Mikhail is 48 years old
Pls help me complet this
Answer:
P(for) = 5/8
P(against) = 3/10
P(undecided)= 3/40
Step-by-step explanation: Again, find the total number of people Devi surveyed.
40 people got surveyed in total. So P(for) means to find how many people wanted to vote for the mayor. In the table, it says 25 voted for the current mayor. So 25/40. Then we can simplify it to 5/8.
Then find how many people voted against her. 12 people voted against her. 12/40 is 3/10.
Finally, find how many people were indecisive. 3 people were indecisive. 3/40. We cannot simplify it, so leave it like that. Hope this helps.
HELP PLS WHOEVER ANSWERS ILL GIVE BRAINLIEST
Answer:
A: 30
B: y=30x+14
Step-by-step explanation:
A
The rate of change, or slope, can be found from any two points (x1,y1) and (x2,y2), using the formula (y2-y1)/(x2-x1).
Let's use the points (0,14) and (2.2,80):
slope = (y2-y1)/(x2-x1)
= (80-14)/(2.2-0)
= 66/2.2
= 30
B
The slope-intercept form of a linear equation is y=mx+c, where x and y are any co-ordinates on the line, m is the slope and c is the y-intercept. Since we already know our slope (30), we can just plug this and some point on the line (eg (0,14)) into the equation to find c:
y=mx+c
14=(30)(0)+c
14=0+c
c=14
Therefore our equation is y=30x+14
Find the simple interest
$154.40 for 4 years at 8 1/2%
Answer:
$52.50 (rounded)
Step-by-step explanation:
I = Prt
I = 154.4(.085)(4)
I = 52.496
If a triangle has a perimeter of 36 inches, which of the following would be the perimeter of the triangle
formed by connecting its midpoints?
(1) 18 inches
(3) 24 inches
(2) 20 inches
(4) 72 inches
Answer:
1) 18 inches
Step-by-step explanation:
By the Midsegment Theorem: A midsegment connecting two sides of a triangle is parallel to the third side and is half as long the third side.
ans: 36/2 = 18
A painting class charges a $55 registration fee plus an additional $25 for each week that you attend. Write an equation that could be used to find the total cost y for someone to attend the class for any number of weeks x. Then find how much it would cost for 7 weeks.
Answer:
y=25x+55
7 weeks = 230
gyhbgt
Find dy/dx
for 4 tan^2x - xy^2= sin2y by using implicit differentiation
Answer:
Y=bx+c
Step-by-step explanation:
That should be right
Answer:
Y=bx+c
Step-by-step explanation:
What is 48 divided by 613
Answer:
0.07830342577 is the correct answer.
Step-by-step explanation:
Hope this helped Mark BRAINLIEST!!!
Answer:
0.07830343
Step-by-step explanation:
Is ther function linear or quadratic?
f(x)=x2-3x+2
A. linear
B. quadratic
Answer:
it is quadratic because quadratic describes something that pertains to squares and this equations has the term 'x2'
Step-by-step explanation:
Answer:
5
Step-by-step explanation:
did the math
Which is the graph of the linear equation y=-1/4x+3
Answer: The Y-intercept would be positive 3, and your slope would be for every single risen coordinate on the Y axis, you move on the X-axis by 4.
Solve for u. -5u/8=-10
Answer:
u 16
Step-by-step explanation:
LOOK AT THE IMAGE!!!
DO NOT JUST ANSWER FOR POINTS
Answer:
C) (-3,-1)
Step-by-step explanation:
C) (-3,-1)
find area of figure
3 yd
8 yd
15 yd
13 yd
Answer:
C, 15 yd
Step-by-step explanation:
Hope this helps
2x+8>4 translate the inequality into written language
Answer:
The sum of two variables and 8 is greater than 4.
Please help soon! Im timed!
Answer:
5 times a number and 7 : last option
8 more than the product of 7 : second option
5 less than the quotient of 8 ..... : first option
twice the difference of 8 and a number : thrid option
Step-by-step explanation:
Common sense
In ΔLMN, the measure of ∠N=90°, MN = 3.4 feet, and NL = 7.5 feet. Find the measure of ∠L to the nearest tenth of a degree.
Answer:
24.4
Step-by-step explanation:
just did it delta
Find the value of x. I WILL GIVE YOU BRAINLIEST!!!!
Hi there!
[tex]\large\boxed{x = 40}[/tex]
We can solve for x knowing that the sum of interior angles in a triangle is 180°.
The square at the bottom indicates a right angle, or 90°. Therefore:
180 = 90 + x + (x + 10)
Combine like terms:
180 = 100 + 2x
Subtract 100 from both sides:
180 - 100 = 2x
80 = 2x
Divide both sides by 2:
x = 40.
Answer:
hi
Step-by-step explanation:
x+90⁰+x+10=180
x+x+10=180-90
2x+10=90
2x=90-10
2x=80
x=80/2
x=40
have a nice day