1)Test Static: 1.82
2)P-Value: < 0.05
3)Decision: i. Reject the null hypothesis.
To test the claim that the population mean is greater than 90, we can use a one-sample t-test.
(a) The test statistic for the one-sample t-test is calculated as:
t = (sample mean - population mean) / (standard deviation / sqrt(sample size))Plugging in the values, we get:
t = (93.1 - 90) / (17.037078307720517 / sqrt(100)) = 3.1 / (17.037078307720517 / 10) = 3.1 / 1.7037078307720517 = 1.82(b) To find the p-value for the test, we can use a t-table or a statistical software package to find the probability of observing a t-value as extreme or more extreme than the one we obtained, given that the null hypothesis is true. For a one-tailed test with α = 0.05 and df = 99 (the sample size - 1), the critical value for t is approximately 1.65. Since our test statistic (1.82) is greater than the critical value, the p-value is less than 0.05.
(c) Since the p-value is less than the significance level of α = 0.05, we reject the null hypothesis and conclude that the population mean is indeed greater than 90. Therefore, the decision for this test is: i. Reject the null hypothesis.
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each group of students receives a bag that has 4 red cubes, 9 green cubes and 7 blue cubes if if each group makes 200 pulls and replaces the cube after each pull, how many times would you expect them to draw a green cube?
Must write and solve using a system of linear equation.
* 10. You have 39 math and science problems for homework. You
have 15 more math problems than science problems. Use the
model to write a system of linear equations. How many problems
do you have in each subject?
Answer:
Science problems= 12
Math problems= 27
Step-by-step explanation:
If
x= math problems for solving
y= science problems for solving
x+y=39
y=x-15
Using substitution method:
x+(x-15)=39
2x-15=39
2x=39+15
x=(39+15)/2
x=27
Having "x" lets find out "y" value.
x+y=39
27+y=39
y=39-27
y=12
Of three consecutive odd integers, k is the middle one. If the difference between
the products of the last two and first two is 28, find the three integers.
RS= 4y+2, ST = 3y+8, and RT = 38 what is the value of y
Answer:
y = 4
Step-by-step explanation:
Given that,
RS= 4y+2, ST = 3y+8, and RT = 38
We need to find the value of y.
As,
RT = RS+ST
Put all the values,
38 = 4y+2+3y+8
38-2-8 = 4y+3y
28 = 7y
y = 4
So, the value of y is equal to 4.
Factor 7/10 out of 7/10z+21.
7/10z+21=
Answer:
1/100 (1471 z + 2100)
0.01 (1471 z + 2100) the result I got
and the Factorization over the splitting field:
14.71 z + 21
-2y + x +
3
How many terms are in the expression
Answer:3
Step-by-step explanation:
honest to god im just sad today can someons do this
Answer: Its answer A
Hope you feel soon better friend.
what is 7÷10 in faction form and improper fraction form
Answer:
a) 7/10
b) There is no improper fraction form for this
30 points and Brainliest!
Given: ΔLFP, LF = FP LK ⊥ FP , PD ⊥ LF Prove: LK = PD
Please provide proof and the rule (AAA, ASA, etc.) as well.
Answer:
LF = PF given
ΔLFP is isosceles definition of isosceles triangle
∠FLP = ∠FPL isosceles triangle theorem: if two sides of a triangle are
congruent, then angles opposite those sides are
congruent.
LP = PL reflexive property
∠PDL = ∠LKP Perpendicular lines postulate (perpendicular lines form 90
degree angles)
ΔPDL ≅ ΔLKP AAS
LK = PD corresponding parts of congruent triangles are congruent
Office Products has a box of 500 envelopes on sale for $12.99 (with a list
price of $44.00). If you buy 4 boxes, what is the total markdown?
Answer:$124.04
Step-by-step explanation: 44 -12.99 = 31.01 31.01 x 4 = 124.04
PLS SOLVE THIS!!! pls pls pls
Answer:
what grade is this?
Step-by-step explanation:
helppppppppppppppppppppppppppppppppppppppppppp
Answer:
A
Step-by-step explanation:
Pi r^2 is the equation to solve any circle. R=5 in this case, so A is your answer.
Can you guys help me with this?
Answer:
The leghts of AB is 9 because both of the triangles are symmetrical. But also, this is a Equilateral triangle, which means that both of the sides are the same lengths (AB=AC)
At his birthday party, Aiden collected 15% of the candy that fell out of the pinata. If Aiden collected 6 pieces of candy, how many pieces of candy fell out of the pinata?
pls help its today
Answer:
40 pieces
Step-by-step explanation:
To make it easier I divided each number (15, 6) by 3 and then multiplied by 2.
10% of candy = 4 pieces
Multiply by 10
100% of candy = 40 pieces
The difference between the mean is _____ times the value of the MAD of each data set.
Fill in the blank.
What balance will be in an account that has an initial deposit of $4600 with an APR of 1.8%? The money is compounded quarterly for 30 years.
help
Answer: i cunfused sorry just relly need the points i have zero sorry hope you find an awser good luck
Step-by-step explanation:
In ADEF, f = 610 inches, e = 590 inches and ZE=70°. Find all possible values of ZF,
to the nearest degree.
Answer:
"76°" is the appropriate solution.
Step-by-step explanation:
Please find attachment of the diagram according to the given query.
The given values are:
In ΔDEF,
f = 610 inches
e = 590
∠E = 70°
∠F = ?
By using the law of sines, we get
⇒ [tex]\frac{Sin E}{e} =\frac{Sin F}{f}[/tex]
On substituting the values, we get
⇒ [tex]\frac{Sin70^{\circ}}{590} =\frac{SinF}{610}[/tex]
On applying cross multiplication, we get
⇒ [tex]SinF=\frac{610\times Sin 70^{\circ}}{590}[/tex]
On substituting the values, we get
⇒ [tex]=\frac{61\times 0.95969262}{59}[/tex]
⇒ [tex]=\frac{57.3212499}{59}[/tex]
⇒ [tex]=0.971546608[/tex]
now,
⇒ [tex]F=Sin^{-1}(0.971546608)[/tex]
⇒ [tex]=76^{\circ}[/tex]
If f(x) and its inverse function, are both plotted on the same coordinate plane, where is their point of intersection?
Answer:
The point of intersection would be the point were both functions meet/cross paths.
Step-by-step explanation:
I don't know what the question looks like, if there is a graph or not, but the point of intersection is the point that both functions meet at the same place at the same time.
Hope this helps ^-^
Find each trig ratio
Answer:
Step-by-step explanation:
7. Which equation can be used to find V, the
volume of the triangular prism in cubic feet?
6
17
10
Answer:
V = 1/3 x base x height
Rebecca picked a bunch of flowers from her garden. She gave 19 flowers to her mother. If she now has 34 flowers, how many flowers did she pick?
PLEASE HELP PLEASE! I AM SO STUCK!
f(x) = |7m + 4| = 1
First equation by taking positive modules
7m + 4 = 1
7m = -3
m = -3/7 . Ans.
Second equation by taking negative modules
-7m - 4 = 1
-7m = 5
m = -5/7 . Ans.
∴ m = [ -5/7 U -3/7 ] Ans .
I need the answer ASAP
Answer:
[tex]y=-\frac{1}{5} x-1[/tex]
Step-by-step explanation:
Hi! Welcome to brainly!
So slope intercept form - y = mx + b
where m = slope and b = y intercept
First lets find the y intercept
The y intercept is at (0,-1)
B would equal the y value of the y intercept so b = -1
now lets find the slope
To do so we can pick 2 points on the line and use the slope formula
[tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex]
the points can vary but i chose the points (5,-2) and (10,-3)
having found the points we plug them into the formula
[tex]m = \frac{-3-(-2)}{10-5} \\-3-(-2)=-1\\10-5=5\\m=-\frac{1}{5}[/tex]
now that we have found all of the information we plug the values into the equation and get that the answer is
[tex]y=-\frac{1}{5} x-1[/tex]
Find the angle between the two vectors to the nearest tenth of a degree u= (6 4) v= (7 5)
Answer:
Answer: 1.8
Step-by-step explanation:
Give the system, X + y = 15 3x - y = 9, find the value of x and y
Answer:
(x,y)=(9/77,684/77)
Step-by-step explanation:
X + y = 15 3x - y = 9
=154x=18
x=9/77
9/77+y=9
y=684/77
=(x,y)=(9/77,684/77)
Find the lateral area of this cone.
Leave your answer in terms of a.
12cm
5cm
LA = [ ?]
Find the range of the data.
67, 63, 72, 62, 64, 81, 74, 66
The range is
WILL GET BRAINLEST
Answer: Range is 19
HOPE THIS HELP!
Mrs. Johnson works as a Librarian and makes $46,320 per year. Mr. Rivera makes $75,490 per year working as an Actuary. Which statement below accurately describes the difference in their salaries over time?
A B Mrs. Johnson will make $125,760 less than Mr. Rivera over a 5-year period.
B Mrs. Johnson will make $194,800 less than Mr. Rivera over a 10-year period.
C Over a 15 year period Mr. Rivera will make $377,450 more than Mrs. Johnson. C
D Over a 15 year period Mr. Rivera will make $437,550 more than Mrs. Johnson.
Answer:
ima say B
Step-by-step explanation:
I’m not 100% sure so I could be wrong
If the discount is 27%, then what percentage of the original price do you pay? Please give an explanation as well if you can! Thank you in advance.
Whoever answers correctly will get Brainliest. Stay happy and have a blessed rest of your day. :)
Select True or False for each statement.
Answer:
1. true
2. true
3. false, vertical axis is y :)
Step-by-step explanation: