As a result, the test is significant and we can draw this conclusion that the population mean is less than 20.
A test statistic is what?A test statistic is a statistic used for testing statistical hypotheses. A test statistic, which is a tally of a data set that can be used to conduct the test and boils the data down to a single figure, is a common way to characterize a hypothesis test.
a) Here, the test statistic is calculated as:
Z= [tex]\frac{p'-p}{\sqrt{(p(1-p)/n} }[/tex]
Z=[tex]\frac{19.4-20}{\sqrt{(20(1-20)/50} }[/tex]
Z= -2.12
Therefore -2.12 is the required test statistic value here.
b) Given that this is a one-tailed test, the following p-value was calculated using standard normal tables: p = P(Z -2.12) = 0.0169
The necessary p-value in this case is therefore 0.0169.
c) The test is significant in this case, and the null hypothesis can be rejected because the p-value is 0.0169 0.05, which is the level of significance. This means that there is enough data to conclude that the mean is less than 20.
d) For a significance level of 0.05, we have the following data from normal standard tables:
P(Z < -1.645) = 0.05
Therefore, the following is the rejection criteria in this case: Reject H0 if Z -1.645.
We can reject the null hypothesis here and draw the same conclusion as in the previous section because the test statistic value is -2.12 -1.645. As a result, the test is significant and we can draw this conclusion that the population mean is less than 20.
To know more about test statistic , visit
https://brainly.com/question/14128303
#SPJ4
100 POINTS PLEASE HELP QUICKLY
A savings account starts with $312.50. After 9 years of continuous compounding at an interest rate, r, the account has $1250.
What is the interest rate percentage?
Round the answer to the nearest hundredth.
P = 312.50
t = 9
r = ?
P(t) = P(9) = 1250
P(t) = Pe^(rt)
P(t) = Pe^(rt)
1250 = (312.50)e^(9r)
1250/312.5 = e^(9r)
4 = e^(9r)
ln(4) = ln(e^(9r))
ln(4) = (9r)ln(e)
[cancel out the e with ln on right side]
ln(4) = (9r)
ln(4) /9 = r
0.15 = r
ANSWER: 0.15 is the interest rateThe compound interest is computed both on the principal and the interest year on year. The rate of the interest is 0.16 or 16%.
What is savings account?A savings account is a type of account where an individual can save money for future purposes.
Here we havethe following information;
Principal = $312.50
Time = 9 years
Amount = $1250.
rate = ?
Using the formula;
A = P(1 + r/n)^nt
Where n =1
1250 = 312.50( 1 + r)^9
1250/312.50 = ( 1 + r)^9
4 = ( 1 + r)^9
1.16 = 1 + r
r = 1.16 -1
r = 0.16 or 16%
Learn more about compound interest: https://brainly.com/question/9904853?
wut is the answer iam dieeeeeeeeeeeeddddddd
Answer:
28.26 m²
Step-by-step explanation:
use formula please
In two or more complete sentences, compare the number of
x-intercepts in the graph of
f(x)=x2 to the number of x-intercepts in the graph of g(x)=−x2−5. Be sure to include the transformations that occurred between the parent function f(x) and its image g(x).
Answer:
Step-by-step explanation:
You meant x^2, right?
We get the graph of g(x) through two transformations of the graph of f(x):
1. Reflect the graph of f(x) about the x-axis.
2. Translate the graph obtained in (1) 2 units down.
There u go hehehehewh full question
Solve the system by substitution.
-5x+2y=-42
6x=y
Step-by-step explanation:
since y=6x
by substitution
-5x+ 2 (6x)= -42
-5x+ 12x=-42
7x= - 42
divide both sides by 7
x= 6
y=6x
y =6*6
y=36
May someone please help me with this :)
Answer:
a) 80in peri, 320 in²
b) 19.426 peri, 26.139
50+50times 2 divided by zero add10 plus ur age then add 50
Answer: 420
Step-by-step explanation:
Plzzzzzz heeelllpp. 20 pointsss
Answer:
Hello.
The answer to this question is
− √ 2 − √ 3 /2
And in Decimal Form: − 0.25881904
Step-by-step explanation:
Give brainliest :)
(3, 8) translation 2 units right and 3 units left
Answer:
4,8
Step-by-step explanation:
Alana made a scale drawing of a city park. The scale she used was 1 millimeter : 4 meters. If the actual length of the soccer field is 112 meters, how long is the field in the drawing?
Answer:
27
Step-by-step explanation:
its that be 45 is there to be
Answer:
1
Step-by-step explanation:
how do i write the product of q and 11 as an algebraic expression
Answer:
since the product meaning multiplication, it basically means 11 (q) which is 11q.
Write the word sentence as an inequality. Then solve the inequality. Three less than a number x is more than 15.
Answer:
x - 3 > 15 ;
x > 18
Step-by-step explanation:
Given a number, x
3 less than x ; x - 3
3 less than x is more than 15
The inequality expression becomes ;
x - 3 > 15
We can solve for X ;
x - 3 > 15
Add 3 to both sides ;
x - 3 + 3 > 15 + 3
x > 18
PLEASE HELP I WILL MARK BRAINLIEST
Answer:
The answer is G. The first part of the segment is 7 (between 6 and 8) and the endpoint is at 20. It has a range of 13.
A NASA test rocket is launched from the top of a 101 foot cliff with an initial
velocity of 116 feet per second. The function h(t) = -16t2 +116t + 101 gives the
height, h(t), in feet of the rocket t seconds after it's launched.
How long does it take for the rocket to reach the ground?
Answer:
4.018secs
Step-by-step explanation:
Given the height reached by the test rocket by the expression
h(t) = -16t^2 +116t + 101 gives the
The rocket will reach the ground when h(t) = 0
Substitute h(t) = 0 into the expression
0 = -16t^2 +116t + 101
Multiply through by -1
16t^2 -116t - 101 = 0
Factorize using the general formula
t = 116±√(116)²-4(16)(-101)/4(16)
t = 116±√(13,456+6,464)/64
t = 116±√(19,920)/64
t = 116±141.138/64
t = 116+141.138/64
t = 257.138/64
t = 4.018secs
Hence it will take the rocket 4.018secs to reach the ground
Please help me i only know that it is irrational
Answer:
its irrational because it doesn't terminate or repeat
Step-by-step explanation:
the square root of 5 is 2.2360679775
Pu in order answer show work I’ll give brainliest and 50 pnts
Answer:
1) no, it is not a right triangle. 3² + 4² ≠ 25²
2) no, it is not a right triangle. 38² + 77² ≠ 86²
3) no, it is not a right triangle. 10² + 36² ≠ 37²
4) yes, it is a right triangle. 30² + 40² = 50²
5) yes, it is a right triangle. 8² + 15² = 17²
6) yes, it is a right triangle. 18² + 24² = 30²
7) no, it is not a right triangle. 5.3² + 7.9² ≠ 8.1²
8) yes, it is a right triangle. 10² + 24² = 26²
Evaluate the expression below when P=7 (P+3)
Answer:
Answer:
10
Step-by-step explanation:
(7+3) = 10
Help aspvhbhhhhhhhbjnjjnn
Answer:
The area of this triangle is 7.5 square feet.
Step-by-step explanation:
Area of a triangle formula: A = 1/2 * base * height;
Apply formula to equation
(5 * 3)/2 = 7.5
PLEASE HELP!!!!! WORTH 50 POINTS! PLEASE ANSWER ALL QUESTIONS (6,7,8,9)
Answer:
6. Additional information is required on the two triangles
7. The pair of triangles are similar by SAS similarity postulate
8. Yes, by triangle proportionality theorem
9. DE = 9
Step-by-step explanation:
When two or more triangles are similar, the ratio of the corresponding sides of both triangles is constant
6. From the given figure, more information is required on the two triangles
However, whereby the side with length 10 is parallel to the corresponding side on the other triangle, then the alternate angles formed by the transversal to the two parallel lines are equal and the two triangles are similar by Angle Angle, AA, similarity postulate
7. From the given triangles, the ratio of the corresponding sides relative to the given included angles are;
18/45 and 10/25
18/45 = 2/5
10/25 = 2/5
Therefore, given that two pair of corresponding sides have the same included angle and that the two included corresponding sides of the of the two triangles are proportional, then the two triangles are similar by the Side Angle Side SAS similarity postulate
8. By triangle proportionality theorem, we have;
If [tex]\overline{MN}[/tex] ║ [tex]\overline{KL}[/tex], then we have;
3/6 = 4/8 = 2
∴ [tex]\overline{MN}[/tex] ║ [tex]\overline{KL}[/tex]
9. By triangle proportionality theorem, where [tex]\overline{BE}[/tex] ║ [tex]\overline{CD}[/tex], we have;
12/20 = DE/15
∴ DE = 15 × 12/20 = 9
DE = 9
What is the value of the residual for advertising dollars spent equal to $1,020 and Profit equal to $17,500? Round to the nearest integer.
Given that (3, 2, -6) and (-2,5, 1) are solutions of two equations in a system of three linear equations, which of the following is true about the system?
Answer :
The system can be inconsistent or consistent and independent or consistent and dependent.
Step-by-step explanation :
Consistent system: When the system of equation have atleast one solution then the system is consistent.
Inconsistent system: When the system of equation have no solution then the system is called inconsistent.
Dependent system: When the consistent system have infinite number of solutions then the system is called dependent.
Independent system: When the consistent system has exact one solution then the system is called independent system.
We are given two solutions of two equations are (3,2,-6) and (-2,5,1).
But the system of equations have three equations.
Then, the system of equations may have no solution or may have altleast one solution.
If given system of equations have no solutions then the system is inconsistent.
If the given system of equations have two or more than two solutions then the system is consistent and dependent.
If the given system of equations has exactly one solution then the system is consistent and independent.
The system can be inconsistent or consistent independent or consistent independent.
Given the equation below, find y when x = ½ .
Y = -6x -8 3
Answer:
When x=1/2
Y=-6x-83
Y=-6(1/2)-83
Y=-3-83
Y=-86
Store A sells a watch for $50 and offers a 5% discount. Store B sells the same watch for $60 and offers a 20% discount. The sales tax is 6% for both . After discounts and taxes are applied, from which store should you buy the watch and why?
pls help will give a lot of points!!!!
Answer:
This one i wrote down too
Step-by-step explanation:
x + 8 > 10 plss help
Answer:x=2
Step-by-step explanation:8x2=16 and 16 is greater than 10.. hope this helps and gets brainliest
Answer:
x > 2
Step-by-step explanation:
Given
x + 8 > 10 ( subtract 8 from both sides )
x > 2
48 divided by 6 - 3 3/4
Answer:
4/1/4
Step-by-step explanation:
48÷6
=8-3 3/4
=4/1/4
Hillary, Ashley, Will, and Carlton were planning a surprise anniversary party for Viv and Phillip. The trip was going to cost the kids a total of $8000. Hillary was willing to pay for 30% of the trip. Carlton was willing to pay for ¼ of what Will paid. Will was going to pay for 2/5 of the trip, and Ashley was going to pay for the rest of the trip. a) Create an equation that could be used to determine how much each person paid for the trip. b) Determine how much each person paid for the trip.
Answer:
Hillary 2400
carlton 800
will 3200
ashley 1600
Step-by-step explanation:
hillary 30% of 8000 ---- 8000:100×30=2400
will 2/5 of 8000 8000:5×2=3200
carlton 1/4 of will's---- 3200:4=800
ashley: rest, which is 8000-(2400+3200+800)=8000-6400=1600
Solve the quadratic
8x2 -5x-4=0
A loan of $4,000 was repaid at the end of 10 months with a check for $4,270. What annual rate
of interest was charged?
A.0.1067%
B.10.675%
C.1067.5%
D.128.6%
NO LINKS !! ILL BRAINLIEST !!!
−17 = x − 15 answer this .
Answer:
x=-2
Step-by-step explanation:
x-15=-17
x=-2