Answer:
The correct option is;
C. This advanced training seminar did not reduce response time, t(35) = -1.43, p > 0.05
Step-by-step explanation:
The given parameters are;
The population mean response time, μ = 9 minutes
The number of police officers in the sample, n = 36
The mean response time after the training, [tex]\overline x[/tex] = 8 minutes
The standard deviation of the response time after the training, s = 4.2 minutes
The level of significance, α = 0.05
The null hypothesis; μ ≥ 9
The alternative hypothesis; μ < 9
The test statistic for the t-test is [tex]t=\dfrac{\bar{x}-\mu }{\dfrac{s}{\sqrt{n}}}[/tex], therefore, we get;
[tex]t=\dfrac{8-9 }{\dfrac{4.2}{\sqrt{36}}} \approx -1.42857142857[/tex]
The degrees of freedom, df = n - 1 = 36 - 1 = 35
The critical-t at 0.05 level of significance is critical-t = 1.69, p(t < -1.43) > 0.05
and, we fail to reject the null hypothesis, therefore, the advanced training did not reduce the response time
Diana took $25.25 to the movies. Each ticket into the movie costs x dollars. Diana bought 5 tickets. Which expression represents the amount of money, in dollars, that Diana had after she bought the tickets?
Answer:
x = 5 (i think)
so diana would have $0.25 left
Which expression shows the result of applying the distributive property to −2(1/3x−1/5)?
2/3x−2/5
2/3x+2/5
−2/3x−2/5
−2/3x+2/5
Answer:
Its C
Step-by-step explanation:
:D
Simplify the expression:
a (-8a^2 + 2a + 4) +3 (ba^2 - 4)
Answer:
4 a + 2 a^2 - 8 a^3 + 3 a^2 b - 12
Step-by-step explanation:
Simplify the following:
3 (b a^2 - 4) + a (-8 a^2 + 2 a + 4)
Hint: | Distribute a over -8 a^2 + 2 a + 4.
a (-8 a^2 + 2 a + 4) = -8 a^3 + 2 a^2 + 4 a:
-8 a^3 + 2 a^2 + 4 a + 3 (b a^2 - 4)
Hint: | Distribute 3 over a^2 b - 4.
3 (a^2 b - 4) = 3 a^2 b - 12:
Answer: 4 a + 2 a^2 - 8 a^3 + 3 a^2 b - 12
Brody's family took a road trip to Niagara Falls. Brody slept through the last 6% of the trip. If the total length of the trip was 300 miles, how many miles had they travelled when Brody fell asleep?
Answer:
18 miles
Step-by-step explanation:
6% of 300 miles is 18 miles
PLEASE HELP IF POSSIBLE :)
Answer:
JM = 20
Step-by-step explanation:
Find the value of JM
Using similar triangles;
MJ/HN = GJ/HK
GJ+JM/HN = GJ/HK
15+JM/12+16 = 15/12
15+JM/28 = 15/12
Cross multiply
12(15+JM) = 15*28
180+12JM = 420
12JM = 420 - 180
12JM = 240
JM = 240/12
JM = 20
Hence the length of JM is 20
A digital music player has a retail price of 85$ the percent of markup is 140% what is the final price after the markup? (Show work)
Answer: $119
Step-by-step explanation:
Let's take this equation
85(n)
n will equal 1.40 as the price mark up is 140%
85(1.40)
$119
HELP PLEASE , I NEED THIS DUE IN 10 MINUTES AND IM SO CONFUSED
Answer:
p+37 = 2p-50
87
m<I=124
Step-by-step explanation:
A line is drawn on a coordinate grid by the equation y = 4. Which of the following lines would represent a row parallel to it?
A. A line containing the point (6, 4)
B. x = 4
C. y = 0
D. x = 6
Answer:
y=0
Step-by-step explanation:
bc if you graph y=0 its parallel to y=4
11. A surveyor is 100 meters from a bridge. The angle of elevation to the top of the bridge is 35º. The
surveyor's instrument is 1.45 meters above the ground. Find the height of the bridge.
Answer:
The height of the bridge is 71.47 m.
Step-by-step explanation:
Since the eye of the surveyor is 1.45m creating the horizontal distance, we must add the 1.45 m to the 70.02 m to determine the total height of the bridge.
70.02 m + 1.45 m = 71.47 m
The height of the bridge is 71.47 m.
2x + 3y = 16
3x + 4y = 22
System of Equations
Answer:
x=2, y=4. (2, 4).
Step-by-step explanation:
2x+3y=16
3x+4y=22
---------------
3(2x+3y)=3(16)
-2(3x+4y)=-2(22)
--------------------------
6x+9y=48
-6x-8y=-44
------------------
y=4
2x+3(4)=16
2x+12=16
2x=16-12
2x=4
x=4/2
x=2
Write a rule to describe this transformation (geometry)
Answer:
1 up and 1 to the side
Step-by-step explanation:
Someone please help me with this I need help ASAP
Answer:
I'm sorry i don't know this right here
Step-by-step explanation:
If anyone can help I would really appreciate it!
Answer: y= 2/5 * x - 6
Step-by-step explanation:
y intercept
y= 2/5 x+b putting in the point 5,4
y=2/5 5+ b
4=10+b
b= -6
Which of the following reveals the minimum value for the equation 2x2 + 12x − 14 = 0? 2(x + 6)2 = 26 2(x + 6)2 = 20 2(x + 3)2 = 32
Answer:
The equation which reveals the minimum value for the equation is 2·x² + 12·x - 14 = 0 is the option;
2·(x + 3)² = 32
Step-by-step explanation:
The given function can be presented as follows;
2·x² + 12·x - 14 = 0
The quadratic equation in standard form is a·(x - h)² + k
Where;
(h, k) is the vertex of the parabola
Given that the coefficient of the x² is positive, the graph is U-shaped and the lowest point is given by the vertex of the graph as follows;
2·x² + 12·x - 14 = 2·x² + 12·x - 14 = 2·(x² + 6·x - 7) = 0
2·(x² + 6·x - 7) = 2·(x² + 6·x + 9 - 7 - 9) = 2·((x + 3)² - 16)
2·((x + 3)² - 16) = 2·(x + 3)² - 32 = 0
∴ 2·x² + 12·x - 14 = 2·(x + 3)² - 32 in vertex form
The minimum value (vertex, (h, k)) for the equation = (-3, -32)
Therefore, the equation which reveals the minimum value for the equation is 2·(x + 3)² = 32
Answer:
2(x + 3)2 = 32
Step-by-step explanation:
I took the test.
Solve for y 3) 2y + 4x = 8
Answer:
Step-by-step explanation:
y
=
4
−
2
x
Pls someone help ME! PLSPLSPLSPLSPLSPLSPLSPSLPSLPSPLSPLSPLSPPLSPLSPLSPLSPLSPLSPLSPLSPLSPLSPSLPSLSPLSPSLPSLSPLSPSLPLPLLPLPSLPSLPLSPSLPSLPSLPSPSLPSLSPSLSPSPLSLSPLSPLSLPSLSPls
Answer:
B
Step-by-step explanation:
To test a circuit he does not need to gather opinions
Answer:
b
Step-by-step explanation:
1. Christina drew a scale model of an Olympic-size swimming pool using a
scale in which 3 centimeters represents 10 meters. If the length of the
pool in her drawing is 15 centimeters, what is the length of the actual
pool?
4,5 m
D 150 m
Answer: 4,5
Step-by-step explanation:
The actual length of the Olympic-size swimming pool which is drawn by Christina on the scale model is 50 meters.
What is scale factor?
Scale factor is the factor which is used to enlarge or smaller the original figure.
Scale factor is the ratio of representation measurement of the figure to the original figures.
Christina drew a scale model of an Olympic-size swimming pool using a scale in which 3 centimeters represents 10 meters.
Thus, the scale factor is for cm to m,
[tex]r=\dfrac{3}{10}\rm[/tex]
The length of the pool in her drawing is 15 centimeters. Let the length of the actual pool is x cm. Thus,
[tex]\dfrac{15}{x}=\dfrac{3}{10}\\x=50\rm \; m[/tex]
Thus, the actual length of the Olympic-size swimming pool which is drawn by Christina on the scale model is 50 meters.
Learn more about the scale factor here;
https://brainly.com/question/10253650
find the area of the shape below
Answer:
204 ft^2
Step-by-step explanation:
triangle on the left:
A= l x w x 1/2
A = 12 x 5 x 1/2
A = 30 ft^2
triangle on the right:
Same thing
A = 30 ft^2
square in the middle:
A = l x w
A = 12 x 12
A = 144 ft^2
Add them up:
30 + 30 + 144 = 204 ft^2
In the figure below, m∠1 = x and m∠2 = x - 8. Which statement could be used to prove that x = 49?
Answer:
see explanation
Step-by-step explanation:
∠ 1 + ∠ 2 = 90, that is
x + x - 8 = 90
2x - 8 = 90 ( add 8 to both sides )
2x = 98 ( divide both sides by 2 )
x = 49
the sum of three consecutive odd numbes is 57 what are the three numbers
A college’s tuition has risen 4% each year since 2015. If the tuition in 2015 was 30,000, write an equation for this amount of tuition t years after 2015.
Answer:
Step-by-step explanation:
Write the equation of the line that passes through the points (3, -2)
and (5, -9). Put your answer in fully reduced point-slope form,
unless it is a vertical or horizontal line.
PLZ PLZ I BEG U WILL MARK BRAINLIST Five pizzas cost $42.50. At that rate, how much will 16 pizzas cost? SHow Work
Answer:
$136
Step-by-step explanation:
$42.50 divided by 5= 8.5 per pizza
So you do 8.5x16 pizzas to get $136 for 16 pizzas.
Solve these equations.
|x+8|=x+8
PLS, I NEED HELP NOW!!!
Answer:
x = -8
Step-by-step explanation:
Please help me!!!!!!!!!!!!!!!!!
find the equation that represents the proportional relationship between in this graph
Answer:
y = 7/8x
Step-by-step explanation:
...................
Which set of side lengths form a right triangle?
50 in., 48 in., 14 in.
53 m, 48 m, 24 m
3 ft, 6 ft, 5 ft
8 cm, 17 cm, 14 cm
Answer:
50 in. 48 in. 14 in.
Step-by-step explanation:
A group of friends were working on a student film that had a budget of $1200. They spent all their budget on costumes and equipment. They used 33% of their budget on equipment. How much money did they spend on costumes?
Answer:
$804
Step-by-step explanation:
33%=0.33----Covert the percentage as a decimal.
0.33*1200=396----Multiply the decimal by the price of budget. This is the cost of equipment.
$1200-$396=$804----Subtract the cost of equipment ($396) by the cost of budget($1200). You get $804!
Hope this helped.
Answer:
804
Step-by-step explanation:
what the other person said
There were 874 tickets sold for a school event. Student tickets were $3 and non-student
tickets were $7. If the total amount of ticket sales was $3,786, how many student
tickets were sold? (Use only the digits 0-9 to enter a number.)
This questions weird
Answer:
583 student tickets
Step-by-step explanation:
This question is likely asking us to set up a system of equations. Let us say that:
x represents the number of student tickets
y represents the number of non-student tickets
We know that there were a total of 874 tickets sold, so:
x + y = 874
We also know that every student ticket was sold for $3 and every non-student ticket was sold for $7. We also know the total sales, so:
3x + 7y = 3786
These are our two equations. We can use substitution to solve for the number of student tickets, x:
x + y = 874
y = 874 - x
3x + 7y = 3786
3x + 7(874 - x) = 3786
3x + 6118 - 7x = 3786
-4x = -2332
x = 583 student tickets
Victor bought a Nintendo Game Boy that cost $68. He received $32 in change.
Write and solve an equation to find the amount of money Victor used to buy the Game Boy.