Answer:
The p-value of the test is 0.166 > 0.05, which means that there is not sufficient evidence at the 0.05 significance level to conclude that the bags contain more than 23.6 ounces.
Step-by-step explanation:
A company distributes candies in bags labeled 23.6 ounces. Test if the mean is more than this:
At the null hypothesis, we test if the mean is of 23.6, that is:
[tex]H_0: \mu = 23.6[/tex]
At the alternative hypothesis, we test if the mean is of more than 23.6, that is:
[tex]H_1: \mu > 23.6[/tex]
The test statistic is:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.
23.6 is tested at the null hypothesis:
This means that [tex]\mu = 23.6[/tex]
The local bureau of weights and Measures randomly selects 60 bags of candies and obtain a sample mean of 24 ounces. Assuming that the standard deviation is 3.2.
This means that [tex]n = 60, X = 24, \sigma = 3.2[/tex]
Value of the test statistic:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
[tex]z = \frac{24 - 23.6}{\frac{3.2}{\sqrt{60}}}[/tex]
[tex]z = 0.97[/tex]
P-value of the test and decision:
The p-value of the test is the probability of finding a sample mean above 24, which is 1 subtracted by the p-value of z = 0.97.
Looking at the z-table, z = 0.97 has a p-value of 0.834.
1 - 0.834 = 0.166
The p-value of the test is 0.166 > 0.05, which means that there is not sufficient evidence at the 0.05 significance level to conclude that the bags contain more than 23.6 ounces.
The foot of a ladder is placed 10 feet from a wall. If the top of the ladder rests 13 feet up on the wall, find the length of the ladder.
ANSWER QUICK! MANY POINTS! NO WRONG ANSWERS PLEASE!
1. Use the table and the graph to answer the questions.
Function 1
x: -1 -2 -3 2 3
y: 3 5 7 -3 -5
Function 2
(see picture below)
a) What is the rate of change for each function? Show your work.
b) Which function has the greater rate of change?
Answer:
see below
Step-by-step explanation:
Function 1
Find the slope
m = ( y2-y1)/ (x2-x1)
= (-5 -3) /(3 - -1)
= ( -5-3)/(3+1)
= -8/4
= -2
Function 2
Using the points (0,4) and (-1,0)
m = ( y2-y1)/ (x2-x1)
m = ( 0-4)/(-1-0)
= -4/-1
= 4
The function with the greater rate of change is function 2
#Function 1
(-1,3)(-2,5)Slope=
m=5-3/-2+1m=2/-1m=-2#Function 2
(-1,0)(0,4)Slope
m=4/1m=4Function 2 has greater rate of change
which one is the right answers
Answer:
B
Step-by-step explanation:
n is the number of litres.
if you substitute 1 for 'n' then you will get :
C = 8 + 1.5(1)
C = $9.5
$9.50 for every litre
Answer:
C is correct
Step-by-step explanation:
The $8 charge is only once regardless of how many liters are ordered, so only answer C works.
If the hypotenuse of an isosceles right triangle has a length of 5 centimeters, what is the length of one of the legs?
Select the correct answer.
O 5
O 5V2
O 6/2
O 5V2/2
Answer: D
Step-by-step explanation:
just did it
The length of one of the legs of the isosceles right triangle is, 5 / √2 cm.
What is mean by Triangle?A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.
We have to given that;
The hypotenuse of an isosceles right triangle has a length of 5 centimeters.
Now, We know that;
Two sides of an isosceles triangle are equal.
Let two equal sides of triangle = x
Hence, We get by Pythagoras theorem,
⇒ Hypotenuse² = Base² + Perpendicular²
⇒ 5² = x² + x²
⇒ 25 = 2x²
⇒ x² = 25/2
⇒ x = √(25/2)
⇒ x = 5 / √2 cm
Learn more about the triangle visit;
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Instructions: Find the angle measures given the figure is a rhombus.
Answer:
m <1 = 147
m <2 = 90
Step-by-step explanation:
In rhombus diagonals are perpendicular to each other so
m <2 = 90
m < 1 = 180- 33
= 147
Answered by Gauthmath
The required angle of the rhombus m∠1 = 57° and m∠2 = 90°.
Given that,
A figure of a rhombus is shown,
An angle of 33° is given,
m∠1 and m∠2 is to be determined.
The triangle is a geometric shape that includes 3 sides and sum of the interior angle should not greater than 180°.
The angle can be defined as the one line inclined over another line.
Here, the rhombus has been shown with an angle of 33° of the side with one of the diagonal.
Since the diagonal of the rhombus bisect each other at an angle of 90 so the angle m∠2 = 90 and the sum of the interior angle of a triangle is 180. So,
m∠1 + 33 + 90 = 180
m∠1 = 180 - 123
m∠1 = 57
Thus, the required angle of the rhombus m∠1 = 57° and m∠2 = 90°.
Learn more about Angles here:
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50 points! will give brainliest
Answer:
Solution given:
Sin[tex]\theta_{1}=\frac{1}{4}[/tex]
[tex]\frac{opposite}{hypotenuse}=\frac{1}{4}[/tex]
equating corresponding value
opposite=1
hypotenuse=4
adjacent=x
By using Pythagoras law
hypotenuse²=opposite²+adjacent²
4²=1²+x²
16=1+x²
x²=16-1
x=[tex]\sqrt{15}[/tex]
In II quadrant
Cos angle is negative
Cos[tex]\theta_{1}=\frac{-adjacent}{hypotenuse}[/tex]
Cos[tex]\theta_{1}=\frac{-\sqrt{15}}{4}[/tex]Answer:
[tex]\displaystyle \cos ( \theta _{1} ) = - \frac{ \sqrt{15}}{ 4 }[/tex]
Step-by-step explanation:
on a unit circle there're 4 Quadrant. on Q:I sin and cos both are positive,on Q:II cos is negative and sin positive, on Q:III both sin and cos are negative and on Q:IV cos is positive and sin negative.
actually a unit circle is a coordinate plane but
there's (cos,sin) instead of (x,y)it'll be required later
well to solve the problem we can consider Pythagorean theorem which states that the square of sin and cos is equal to 1. therefore,
[tex] \displaystyle \sin ^{2} ( \theta) + \cos ^{2} ( \theta) = 1[/tex]
[tex] \rm \displaystyle \implies \boxed{\cos ^{} ( \theta) = \sqrt{1 - \sin ^{2} ( \theta) }}[/tex]
in this case,
[tex] \rm \theta \: \: is \: \: \theta_{1}[/tex]sin[tex]\theta[/tex] is ¼Thus substitute:
[tex]\displaystyle \cos ( \theta _{1} ) = \sqrt{1 - \left( \frac{1}{4} \right) ^{2} }[/tex]
simplify square:
[tex]\displaystyle \cos ( \theta _{1} ) = \sqrt{1 - \frac{1}{16} }[/tex]
simplify substraction:
[tex]\displaystyle \cos ( \theta _{1} ) = \sqrt{ \frac{16 - 1}{16} }[/tex]
simplify numerator:
[tex]\displaystyle \cos ( \theta _{1} ) = \sqrt{ \frac{15}{16} }[/tex]
recall redical rule:
[tex]\displaystyle \cos ( \theta _{1} ) = \frac{ \sqrt{15}}{ \sqrt {16} }[/tex]
simplify square root:
[tex]\displaystyle \cos ( \theta _{1} ) = \frac{ \sqrt{15}}{ 4 }[/tex]
since cos is negative on Q:II hence,
[tex]\displaystyle \cos ( \theta _{1} ) = \boxed{- \frac{ \sqrt{15}}{ 4 }}[/tex]
and we're done!
What is the probability of getting ALL 2 red balls in a bag containing 24 balls?
Answer:
1 / 276
Step-by-step explanation:
The total Number of balls in the bag = 24
Number of red balls = 2
Assume the number of picks required = 2 and selection is performed without replacement ;
The probability of :
Choosing a red on first pick = (number of red balls / total number of balls) = 2 / 24
After first pick, red balls left = 1 ; total number of balls = 23
Choosing a red on second pick = (number of red balls / total number of balls = 1 / 23
Hence,
(2/24) * (1/23) = 2 / 552 = 1/276
Can someone help me I don't understand
Answer:
79.605
Step-by-step explanation:
sin 31° = 41/x
x = 41/sin 31°
x = 79.605
how do i find perimeter and area of this triangle?
Answer:
u should use a ruler and multiplied
Step-by-step explanation:
I dont know the step by step sorry
Write an equivalent expression for each of the following. Express your answers in the form a + bi or a - bi
(5 + i)(9 + i)
Help please
Answer:
44 +14i
Step-by-step explanation:
(5 + i)(9 + i)
FOIL
first 5*9 = 45
inner: 9i
outer :5i
last: i*i = i^2 = -1
Add togheter
45 + 9i+5i -1
Combine like terms
44 +14i
These figures are similar. The
area of one is given. Find the
area of the other.
3 in
Answer:
12 in^2
Step-by-step explanation:
The figure with the given area is twice as big as the small figure and these are similar figures. Therefore we divide 24/2 = 12
If SP and CP of an article is Rs. x and Rs. y, write the formulae to find profit and loss percentage.
Answer:
profit= sp-cp
loss %= loss ×100%/cp
=(cp-sp) ×100%/cp
= (1-sp)×100%/cp
Please help out explanation need it will
Answer:
A=2(wl+hl+hw)
A=2(6ft×7ft+6ft×7ft+6ft×6ft)
A=2(42ft²+42ft²+36ft²)
A=2(120ft²)
A=240ft²
Step-by-step explanation:
From a view tower 30 metres above the ground, the angle of depression of an object on the ground is 30 and the angle of elevation of an aircraft vertically above the object is 42.Calculate the height of the aircraft above the ground
Answer:
90 I guess so
It might be wrong
See screenshot below
Answer:
cos theta = -1/ 2
Step-by-step explanation:
sin theta = -sqrt(3)/2
Drawing a triangle
We know sin theta = opp/hyp
We can determine the adj side using the Pythagorean theorem
a^2 + b^2 = c^2
adj^2 + (-sqrt(3))^2 = 2^2
adj^2 +3 = 4
adj^2 = 4-3
adj ^2 =1
Taking the square root of each side
adj = 1
We know that since it is in the third quadrant the adj side is negative
adj = -1
cos theta = adj / hyp
cos theta = -1/ 2
Answer:
Solution given:
Sin[tex]\theta_{1}=\frac{-\sqrt{3}}{2}[/tex]
[tex]\frac{opposite}{hypotenuse}=\frac{-\sqrt{3}}{2}[/tex]
equating corresponding value
opposite=-[tex]\sqrt{3}[/tex]
hypoyenuse=2
adjacent=x
By using Pythagoras law
hypotenuse²=opposite²+adjacent²
2²=-[tex]\sqrt{3²}[/tex]+x²
4=3+x²
x²=4-3
x=[tex]\sqrt{1}=1[/tex]
x=-1
In third quadrant
Cos angle is negative
Cos[tex]\theta_{1}=\frac{-adjacent}{hypotenuse}[/tex]
Cos[tex]\theta_{1}=\frac{-1}{2}[/tex]A car covers a distance of 132 km. If each tire’s diameter is 42 cm, how many rotations does each tire make in covering this distance?
Answer:
Step-by-step explanation:
Diameter (D)= 42cm
Circumference = (pie)D= (22/7)*D=(22/7)*42 = 132cm
1 circumference = 1 revolution
1 revolution = 132cm = 1.32m
for covering 5.28km no. of revolution = 5.28*1000/1.32 = 4000
Hope this answer helps you :)
Have a great day
Mark brainliest
Which angles are supplementary to each other?
Angle 5 and Angle 2
Angle 3 and Angle 8
Angle 8 and Angle 5
Angle 8 and Angle 6
angle 8 and 5 are supplementary angle
f(x) = x2 What is g(x)?
Answer:
D
Step-by-step explanation:
g(x) = 9x^2 satisfy the point (1,9).
please help again with translations
Answer:
A -1,7
B 1,5
C -2,4
Step-by-step explanation:
which of the following is the sum of the numbers if the mean of five number is 6
Answer:
Step-by-step explanation:
you have to do 5+1 and then you will get 6
Write an equation that represents the line.
Use exact numbers.
Answer:
[tex]y = - \frac{4}{3} x + 2[/tex]
Step-by-step explanation:
Linear algebra
Answer:
y=-4/3x+2
Step-by-step explanation:
Find the length of x
. Assume the triangles are similar.
Answer:
x=2.24
Step-by-step explanation:
To do this problem, you must find the scale factor. Using two corresponding sides you can find it.
Using 2.4 and 3:
2.4 / 3 = 0.8
Scale factor: 0.8
Now find x:
2.8 × 0.8 = 2.24
x = 2.24
Hope this helped.
Please help me ASAP I need it
Answer:
XYZ, SAS
Step-by-step explanation:
Because angle B corresponds with angle Y, side AB corresponds with side XY, and side BC corresponds with YZ, we see that side A corresponds with side X, side B corresponds with side Y, and side C corresponds with side Z.
This means that triangle ABC corresponds with triangle XYZ. Since we only know one angle and two sides, they are congruent due to the SAS postulate.
WHO CAN HELP ME WITH THIS QUESTION
Answer:
No
Step-by-step explanation:
These two triangles aren't similar. The left triangle angle measures are 30,60,90. The left triangle measure is 35,55,90.
The side lengths aren't proportional as well. These triangles not similar.
Answer: I'm not sure but
similar : no
similarity statement: it's not similar because the corresponding angle of the two triangle are different
scale factor : 8/4 = 2 ( so, triangle ABC is 2 times the size of triangle LMN)
Step-by-step explanation:
Find the volume of the prism. Round to the nearest tenth.
Answer:
829.6
Step-by-step explanation:
Volume = sh
= (5+12) x 6.1 / 2 x 16
= 12 x 6.1/2 x 16
= 17 x 6.1 x 8
= 829.6 mi^3
Answered by Gauthmath
Simplify -52 + 8|-1| + (-3).
P =5000 T =2year R =7%find simple intreset
Answer:
5070
Step-by-step explanation:
Total = P(1+rt) =5000(1+0.007*2) =5070
If the question is asking about the amount of interest earnt, its 70
Find the volume of the prism.
Answer:
11,968
Step-by-step explanation:
I'm not sure, but I think its 11,968
In the morning, the temperature was 15 degree F. During the day, the temperature fell 37 degrees. Which expression shows how to find the temperature at the end of the day
Answer:
15-37 or -37+15
Step-by-step explanation:
8xy + 3xy + x
please help, no wrong answers, thank you!
8xy + 3xy + x
= 11xy + x
= x(11y +1)
