Using the z-distribution, it is found that since the test statistic is more than the critical value for the left-tailed test, it is found that there is not enough evidence to conclude that illegal drug use in her school is below the current national average.
At the null hypothesis, it is tested if drug use in her school is not below the national average, that is:
[tex]H_0: p \geq 0.098[/tex]
At the alternative hypothesis, it is tested if it is below, that is:
[tex]H_1: p < 0.098[/tex]
The test statistic is given by:
[tex]z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}[/tex]
In which:
[tex]\overline{p}[/tex] is the sample proportion. p is the proportion tested at the null hypothesis. n is the sample size.93 out of 1046 reported using illegal drugs, hence the parameters are:
[tex]n = 1046, \overline{p} = \frac{93}{1046} = 0.0889, p = 0.098[/tex]
Hence, the value of the test statistic is:
[tex]z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}[/tex]
[tex]z = \frac{0.0889 - 0.098}{\sqrt{\frac{0.098(0.902)}{1046}}}[/tex]
[tex]z = -0.99[/tex]
The critical value for a left-tailed test, as we are testing if the proportion is less than a value, is [tex]z^{\ast} = -1.645[/tex]
Since the test statistic is more than the critical value for the left-tailed test, it is found that there is not enough evidence to conclude that illegal drug use in her school is below the current national average.
To learn more about the use of the z-distribution to test an hypothesis, you can take a look at https://brainly.com/question/25584945
Barney’s weight is 20 pounds greater than the product of Denny’s weight and 2. Let d represent Denny’s weight. Write an expression that represents Barney’s weight
Answer:
2d+20
Step-by-step explanation:
since he is 20 pounds greater than denny you would just add 2d and 20 im pretty sure
or ig you want to write out the whole thing it would be y=2d+20
Hope This Helps!!
Answer:
[tex]2d + 20[/tex]
Hope you could get an idea from here.
Doubt clarification - use comment section.
W
Enter the value of x-21.
(x - 21)
71
help please anybody hmm
Answer:
Step-by-step explanation:
The answer would be 6 because you would count the distance like it says!
The slope of a line is −3, and a point on the line is (4,−1).
Question 1
Part A
What is the equation of the line expressed in slope-intercept form?
Answer:
Y= -3x + 11
Step-by-step explanation:
Y= -3x + 11 (-3x is your slope and 11 is your y intercept)
What value of x satisfies the equation 3x – 2 = 2x + 4?
Answer:
x = 6
Step-by-step explanation:
3x - 2 = 2x + 4
First, we need only 1 set of x, so I'll subtract the smallest x from the other.
-2x both sides.
x - 2 = 4
Next, add +2 to both sides. (In these types of questions always do the inverse!)
And so your answer is:
x = 6
Answer:
x = 6
Step-by-step explanation:
1. Add 2 to both sides of the equation
3x - 2 = 2x + 4
3x - 2 + 2 = 2x + 4 + 2
2. Simplify
3x = 2x + 6
3. Subtract 2x from both sides of the Equation
3x - 2x = 2x + 6 - 2x
4. Simplify
x = 6
Need help on HS geometry
Answer:
Step-by-step explanation:
please help, thank you!
Answer:
x = 6
Step-by-step explanation:
45°+45°+m∆2 = 180°
m∆2 = 90°
; m∆2 = 16x-6
90 = 16x-6
96 = 16x
96/16 = x
6 = x
The product of b and 9 is less than or equal to 26.
Which option is an example of a survey?
A. Asking students in a school how much time they spend exercising
B. Flipping a coin 50 times and counting the number of heads
C. Measuring the heights of the players on the basketball team
D. Testing the effectiveness of a new reading program by allowing a
classroom to use it and comparing the results with another
classroom that doesn't use it
Answer:
I think the answer is A
Step-by-step explanation:
The example of a survey are; A. Testing the effectiveness of a new reading program by allowing a classroom to use it and comparing the results with another classroom that doesn't use it
What is an survey?An survey is a technique used to confirm or deny a hypothesis, as well as assess the likelihood or effectiveness of something that has never been tried before.
Since Experiments show what happens when a specific factor is modified, which sheds light on cause-and-effect relationships.
The survey asks participants to quantify their trust in politicians while a numerical scale, with 1 being the least amount of trust.
Example of a survey;
Testing the effectiveness of a new reading program by allowing a classroom to use it and comparing the results with another classroom that doesn't use it
To learn more about experiments refer to:
brainly.com/question/25303029
#SPJ2
A colony of bacteria is growing at a rate of 50% per hour.
If this rate of growth remains the same and the colony starts with 100 bacteria, approximately how many bacteria will there be after 6 hours?
1139 bacteria
Answer:
1139
Step-by-step explanation:
The exponential growth rate formula is as follows:
F = A(1+r)^t, with F representing the final amount, a representing the initial amount, r representing rate, and t representing time. Here, we have
A = 100, r = 50% = 0.5 (divide 50% by 100 to convert it to a decimal), and t = 6. Plugging these in, we get
F = 100(1+0.5)^6 = 1139
Elissa got a manicure and pedicure for $40. If she wants to give a 20% tip, how much would the tip be?
Answer:
$8.01
Step-by-step explanation:
A car is 200 inches long the truck is 50% longer than the car how long is the truck
Answer:
300
Step-by-step explanation:
This question is pretty simple.
First, we just have to find 50% of 200.
So 50% is also 1/2.
1/2 of 200 is just 100. The question says that the truck is 50% LONGER than the car.
So 50% longer is 100 and 100+200(the length of the car) is 300.
The answer.
find three consecutive numbers if their sum is 3n
Answer:
n-1,n,n+1
Step-by-step explanation:
let the numbers be x,x+1,x+2
x+x+1+x+2=3n
3x+3=3n
3x=3n-3
x=1/3 (3n-3)=n-1
so mumbers are n-1,n,n+1
The three consecutive numbers are n-1, n, and n+1.
We have to determine, the three consecutive numbers if their sum is 3n.
According to the question,
The consecutive number series can be even as well as odd depending on the first term of the series and the difference between the numbers.
Let, the three consecutive numbers be x, x+1, and x+2.
The sum of three consecutive numbers is equal to 33.
[tex]\rm x + x+1+x+2=3n\\\\3x+3 = 3n \\\\Divided \ by \ 3 \ on \ both \ the \ sides \\\\x +1 = n\\\\x = n-1[/tex]
Therefore,
The first consecutive number is,
[tex]\rm x = n-1[/tex]
The second consecutive number is,
[tex]\rm x+1 = n-1+1 = n\\[/tex]
The third consecutive number is,
[tex]\rm x+2= n-1+2 = n+1\\[/tex]
Hence, The three consecutive numbers are n-1, n, and n+1.
For more details refer to the link given below.
https://brainly.com/question/16048559
Evaluate 46.32 You may complete your work offline to show your thinking.
Answer:
you want me to round it I will edit it and show you
Step-by-step explanation:
Help Please !! I Need To Have This Turned In By The Next Hour , Anybody Know It !?
Answer:
no
Step-by-step explanation:
Step-by-step explanation:
Because lines are parallel you can use certain rules to determine the relationship of angle 1 & 2.
(A1 & A2 for short)
With the C shape within the parallel lines we can guarantee that the sum of A1 and A2 is equal to 180.
We can also assume A2 is less than 90° as the lines are parallel and the opposing, non parallel line is acute. With this knowledge and the C shape rule, A1 is therefore more than 90°.
Hope this helps
Dolly is measuring the angles of a triangle. He measures the first two angles of a triangle and gets 30 and 100. How could he find the measure of the third angle?
Answer:
the third angle is 50 degress
Step-by-step explanation:
the angle sum property states that the sum of all the interior angles of a triangle is 180.
therefore : 30 + 100 + x = 180
x = 180 - 130
x = 50
Triangle H J K is cut by line segment A B. Line segment A B goes from side H J to side H K. The length of H A is 5. 25 inches, the length of H B is 3 inches, and the length of B K is 5 inches. What is the length of Line segment A J if Line segment A B is parallel to lines segment J K? 8 in. 8. 75 in. 10. 25 in. 14 in.
The segments on triangle HJK are illustrations of equivalent ratios
The length of line AJ is 8.75 inches
The given parameters are:
[tex]H A = 5.25[/tex]
[tex]HB = 3[/tex]
[tex]BK = 5[/tex]
Because lines AB and JK are parallel lines, then we have the following equivalent ratios
[tex]HA:HB = AJ:BK[/tex]
Substitute values for length HA, HB and BK.
[tex]5.25:3 = AJ:5[/tex]
Express both ratios as fractions
[tex]\frac{5.25}{3} = \frac{AJ}5[/tex]
Multiply both sides by 5
[tex]\frac{5.25}{3} \times 5= AJ[/tex]
[tex]8.75= AJ[/tex]
Rewrite as:
[tex]AJ = 8.75[/tex]
Hence, the length of line AJ is 8.75 inches
Read more about equivalent ratios at:
https://brainly.com/question/2328454
Use exponents to write each expression. Then evaluate the expression. 3x3x3x3x3
Step-by-step explanation:
3 to the power of 5
3^5
= 3x3x3x3x3
= 243
Answer:
243
Step-by-step explanation:
3^5=243
If the sum of the roots of the equation 3x² + kx + 1 = 0 is 7. then what the value of k
Answer:
The value of k is -21
Step-by-step explanation:
ax² + bx + c = 0
Sum of the roots = -b/a
3x² + kx + 1 = 0
= sum of the roots = -k/3
-k/3 = 7
Now, Multiply both side by (-3) we get,
(-3)-k/3 = 7(-3)
k = -21
Thus, The value of k is -21
-TheUnknownScientist 72
Find the area of the figures
4 cm
T
4 cm
12 cm
8 cm
The area is
square centimeters
Answer:
120 [cm²].
Step-by-step explanation:
1) the required area is A=Area(ABCEFD)=Area(ABCD)+Area(CEFD);
2) Area of ABCD: Area(ABCD)=AB*BC=12*8=96 [cm²];
3) Area of CEFD: Area(CEFD)=0.5(CD+EF)*HD=0.5*(8+4)*4=24 [cm²];
4) finally, the required area is: A=96+24=120 [cm²].
all the details are provided in the attachment.
PLEASE HELP.
True or False
The graph of an exponential function, y=ab^x produces an asymptote at the line y=0.
Can someone help me with this question
Answer:
what is the lesson? abot?
Step-by-step explanation:
yo can i get sum help over here
Answer:
0.1 i think
Step-by-step explanation:
each line is 0. *number* until u reach 1 then it goes to 1.*number*
Answer:
0.1
Step-by-step explanation:
simplify: 2x^2+15x-30
A= 2x^2
B= 15x
C= -30
(x-5)(x-6)
I dunno, its my question, just answering it for fun
What is the smallest integer $k>2000$ such that both $\dfrac{17k}{66}$ and $\dfrac{13k}{105}$ are terminating decimals?.
The smallest integer greater than 2000 for both the fractions [tex]\frac{17k}{66} \ and \ \frac{13k}{105}[/tex] to be terminating decimals is 2079.
GivenK is greater than 2000.
[tex]k> 2000\\[/tex].
Given fractions are
[tex]\dfrac{17k}{66} \ and \ \dfrac{13k}{105}[/tex].
How to find the smallest integer greater than 2000 for the fractions to be terminating decimals?In order for the decimal equivalents to be terminating, the only factors that can remain in the denominators are 2 and 5.
Here, the given denominators are 66 and 105 respectively.
Now factors of 66 will be 2,3,11.
And the factors of 105 will be 3,5,7.
So, the value of k must be multiples of 3, 7, and 11. The LCM of these numbers will be,
[tex]3\times 7\times 11=231[/tex]
Now the value of K must be greater than 2000, so the multiple of 231 which is greater than 2000 is its [tex]9^{th}[/tex] multiple,
[tex]231\times9=2079[/tex]
Hence 2079 is the smallest integer greater than 2000 for both the fractions [tex]\frac{17k}{66} \ and \ \frac{13k}{105}[/tex] to be terminating decimals.
For more details on terminating decimals follow the link:
https://brainly.com/question/5286788
can someone help me with this quickly
Answer:
Step-by-step explanation:
y - y0 = m(x - x0)
y - (-8) = (-1/2)(x - 4)
y + 8 = (-1/2)x + 2
y = (-1/2)x - 6 or (1/2)x + y = -6
what's the difference between (F(x))^2 and F^2(x) ?
Answer:
f^2(x) means f(f(x)). [f(x)]^2 means the square of the function.
Step-by-step explanation:
I am sorry to say so, but the other answer is rubbish.
there is no difference.
both mean the same thing : f(x) × f(x).
f(f(x)) is exactly what that expresses (f of f(x)).
another way of writing for this would be (f○f)(x).
but never ever f²(x).
please ignore the other answer.
The diameter of a cylindrical construction pipe is 6 ft. If the pipe is 26 ft long, what is its volume?
Use the value 3.14 for it, and round your answer to the nearest whole number.
Be sure to include the correct unit in your answer.
Answer:
Step-by-step explanation:
First find the area of the circular base. The diameter is 6, so the radius is 3.
A circle is pi r square, so it is 3.14 x 3^2, = 28.26
Multiply that by the length 28.26 x 26 = 734.76, which rounds to 735 cubic feet.
Columbus would have taken some live animals aboard for food sources. If there were one hundred forty one animals, of which seventy two were rabbits and the rest were chickens,what percentage of animals were chickens? Round your answer to the nearest percent.
Answer:
49
Step-by-step explanation:
hope it will help I think 49 is the answer
After 10 seconds on a zip line tour, you travel 50 feet. After 25 seconds, you travel 125 feet. Find the slope in feet per second
Answer:
5 feet per second
Step-by-step explanation:
Use the formula y2-y1/x2-x1. (10,50) is x1 and y1. 25 seconds and 125 feet is x2 and y2.
(125-50)/(25-10) = 75/15
We need to solve for the feet per (or 1) second, so we have to divide it by 15.
75/15= 5
So, the slope is 5 feet per second.