Answer:
The p-value of the test is 0.0485 < 0.05, also less than 0.07, so there is sufficient evidence to conclude that there is a statistically significant increase in the percentage of good fruit, for both significance levels, thus the change in significance levels do not change the conclusion.
Step-by-step explanation:
79% of the fruit sold at Fred's Fruit stand has been any good. Test if there has been an increase.
At the null hypothesis, we test if there has been no increase, that is, the proportion is still of 79%, so:
[tex]H_0: p = 0.79[/tex]
At the alternative hypothesis, we test if there has been an increase, that is, more than 79% being good, so:
[tex]H_1: p > 0.79[/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.
0.79 is tested at the null hypothesis:
This means that [tex]\mu = 0.79, \sigma = \sqrt{0.79*0.21}[/tex]
In a random sample if 475 pieces, 85 were bad.
So 475 - 85 = 390 were good, and:
[tex]n = 475, X = \frac{390}{475} = 0.8211[/tex]
Value of the test statistic:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
[tex]z = \frac{0.8211 - 0.79}{\frac{\sqrt{0.79*0.21}}{\sqrt{475}}}[/tex]
[tex]z = 1.66[/tex]
P-value of the test and decision:
The p-value of the test is the probability of finding a sample proportion above 0.8211, which is 1 subtracted by the p-value of Z = 1.66.
Looking at the z-table, z = 1.66 has a p-value of 0.9515.
1 - 0.9515 = 0.0485
The p-value of the test is 0.0485 < 0.05, also less than 0.07, so there is sufficient evidence to conclude that there is a statistically significant increase in the percentage of good fruit, for both significance levels, thus the change in significance levels do not change the conclusion.
Use the parabola tool to graph the quadratic function f(x)=(x−5)2+1 . Graph the parabola by first plotting its vertex and then plotting a second point on the parabola.
Answer:
Vertex (5, 1)
Example of second point (4, 2)
Step-by-step explanation:
THe equation given is in vertex form so it will be easy to find the vertex
(x-5)^2+1
Vertex is at h,k and vertex form is y = a(x−h)^2 + k
x coordinate will be 5
y coordinate will be 1
vertex - (5, 1)
You can plot a second point by plugging in any number into the x or y
For example, if you set x to be 4,
(4-5)^2+1
1^2+1
1+1=2
2(-n - 3) - 7(5+ 2n)
Answer:
-16n-41
Step-by-step explanation:
2(-n-3)-7(5+2n)
Distribute
-2n-6-35-14n
Combine like terms
-16n-41
Hope this helps!
Which table has a constant of proportionality between y and x of 8/5
Answer:
A.) is my best guess
Step-by-step explanation:
The length of a rectangle is 8cm less than twice it's width find the the dimensions of the rectangle if the area is 120cm(2)
Answer:
15 cm
Step-by-step explanation:
so:
if A= b x h and web have b Just Do the inverse formula:
H = a/b h=120/8 = 15 cm
Sorry for my bad English but I'm italian
5^5 over 5^8
simplify
Step-by-step explanation:
5⁵/5⁸
= 5^5-8
= 5^-3
or
(-5)×(-5)×(-5)
= -125
By the law
a^m÷ a^n = a^m-n
Which regular polygon can be used to form a tessellation?
I need help
Answer: Option 4 (Hexagon)
Step-by-step explanation:
A equilateral triangle, square and hexagon can be used to form a tessellation.
Please click thanks and mark brainliest if you like
what percentage is equal to 2/5?
a. 50%
b. 25%
c. 10%
d. 40%
Answer:
40%
Step-by-step explanation:
Percent is out of 100
2/5 * 20/20
40/100
40%
Answer:
Step-by-step explanation:
Divide 2 by 5 to get the decimal .4. Multiply that by 100 to get the percent:
40%, choice d.
The Lewis family and the Martin family each used their sprinklers last summer. The water output rate for the Lewis family's sprinkler was 30L per hour. The water output rate for the Martin family's sprinkler was 15L per hour. The families used their sprinklers for a combined total of 55 hours, resulting in a total water output of 1350L. How long was each sprinkler used
Answer:
Martin family: 20 hours
Lewis family: 35 hours
Step-by-step explanation:
Let's say that the Lewis family sprinklers were out for L hours and the Martin family's sprinklers were out for M hours. We know that for each hour that the Lewis family sprinkler was on, 30L of water was put out. We can thus write the Lewis family sprinkler water output as 30L per each hour of L = 30 * L. Similarly, the Martin family sprinkler water output = 15 * M .
We know that the total hours for the sprinklers is 55, so L + M = 55. The total water output for the sprinklers is the sum of the sprinkler outputs, so 30 * L + 15 * M = 1350
L + M = 55
30 * L + 15 * M = 1350
One way to solve this would be to solve for L in the first equation and substitute that into the second
subtract M from both sides in the second equation
55 - M = L
30 * (55-M) + 15 * M = 1350
30 * 55 - 30 * M + 15 * M = 1350
1650 - 15M = 1350
subtract 1650 from both sides to isolate the M and its coefficient
-15M = -300
divide both sides by -15 to isolate M
M = 20
L = 55-20 = 35
PLZ help me out with this
Answer:
diving the angle into two congruent angles
Step-by-step explanation:
bisecting an angle means dividing the angle into two equal parts
HELP: Find the length of an arc of a circle with a 10-cm radius associated with a central angle of 126 degrees. Give your answer in exact and approximate form to the nearest hundredth. (Show and explain your work)
THANK YOU!!
[tex]\it L_{arc}=\dfrac{2\pi R\cdot angle}{360^o}=\dfrac{2\pi\cdot10\cdot126^o}{360^o}=\dfrac{2520^o}{360^o}\cdot \pi=7\pi\approx7\cdot3,14 \Rightarrow\\ \\ \\ \Rightarrow\ L_{arc}\approx21,98\ cm\approx22\ cm[/tex]
Two angles together form a straight line, which is 180 degrees. Both angles are congruent. What do they measure?
O 180 degrees
O 90 degrees
O There's no way to tell.
Answer:
90 degrees
Step-by-step explanation:
Two angles form a straight line which is 180 degrees.
The two angles are congruent ( or equal to each other )
Let x = measure of one of the angles.
180 = 2x
Divide both sides by 2
180/2 = 90
2x / 2 = x
x = 90
The measure of both angles are 90 degrees
Answer:
It’s 90
Step-by-step explanation:
Sorry I’m in a hurry right now sorry if I didn’t give you the explanation I’m running while typing this
Select the correct answer.
What is the value of x in the figure?
X
400
700
A. 40°
B. 70°
C.80°
D. 120°
E. 150°
Answer: x = 150
Step-by-step explanation:
See the liner pair of angle 70 will be 110 degrees.
Then using angle sum property third angle will be
Third angle = 180 - 150
Third angle of the triangle = 30
Now linear pair of the 30 degree angle
30+x = 180
x = 180-30
x = 150
Therefore answer is option e x = 150.
please click thanks and mark brainliest if you like :)
The measure of the value of angle x is 150°, and the correct option is E
What is the linear pair of angles?Linear pair of angles are formed when two lines intersect each other at a single point.
The angles are said to be linear if they are adjacent to each other after the intersection of the two lines.
BY applying linear pair angles;
[tex]\rm \angle 1+\angle 2=180\\\\70 +\angle 2=180\\\\ \angle 2=180-70\\\\ \angle 2=110\\\\[/tex]
The sum of the three angles is 180.
[tex]\rm \angle 1+\angle 2+ \angle 3=180\\\\ 110+40 +\angle 3=180\\\\150+\angle 3= 180\\\\\angle 3=180-130\\\\\angle 3=30[/tex]
The measure of the value of angle x is;
[tex]\rm 30+x = 180\\\\x = 180-30\\\\x = 150[/tex]
Hence, the measure of the value of angle x is 150°, and the correct option is E.
Learn more about linear pair angles here;
https://brainly.com/question/12743768
#SPJ2
MATCH THE SYSTEM OF EQUATIONS ON THE LEFT WITH THE APPROPRIATE SOLUTION ON THE RIGHT
Answer:
Step-by-step explanation:
factorise
16x²y+8xy all divided by 32xy+16y
Answer:
3x^2+4x/16x+8
Step-by-step explanation:
6x²y+8xy/32xy+16y
Factor the top and bottom
2xy(3x+4)/16y(2x) -This is the most it can be factored but there is also another way (I'm not sure which one you're looking for)
The problem is that this is not simplified so in order to cancel things out the factored number should be the same.
2y(3x^2+4x)/2y(16x+8)
Cancel out 2y
3x^2+4x/16x+8
You invested $8,307 into stocks of a company which
were priced at $13.71/sh. How many shares did you
purchase?
Answer:
606 shares
Step-by-step explanation:
Number of shares= (Total money spent)/(Each share price)
Number of share=(8307)/13.71=605.9≈606
Solve for x: 2(3x + 4) - 3(x - 1) = x - 1
Answer:
x=-113
Step-by-step explanation:
2(3x+4)−3(x−1)=x−1x
Step 1: Simplify both sides of the equation.
2(3x+4)−3(x−1)=x−1x
(2)(3x)+(2)(4)+(−3)(x)+(−3)(−1)=x+−1x(Distribute)
6x+8+−3x+3=x+−x
(6x+−3x)+(8+3)=(x+−x)(Combine Like Terms)
3x+11=0
3x+11=0
Step 2: Subtract 11 from both sides.
3x+11−11=0−11
3x=−11
Step 3: Divide both sides by 3.
3x3=−113
x=−113
Answer:
x=−113
What is 4,328.12 in expanded form?
Write the equation of the line that passes through the points (-3, -3) and (8,7). Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal line.
Answer:
Step-by-step explanation:
First you want to find the slope
y2-y1/x2-x1
7-(-3)/8-(-3)
Two negatives equal a positive. so Rewrite
7+3/8+3
10/11
Slope=10/11
To find the equation of the line..
y-y1=10/11(x-x1)
y-(-3)=10/11(x-(-3)
Again double negative, so rewrite
y+3=10/11(x+3)
y+3=10/11x+30/11
Subtract three from both sides to isolate 'y'
y+3-3=10/11x+30/11-3
y=10/11x+30/11-3
y=10/11x-3/11
Round each to the nearest cent.
$879.190
and
$532.626
Answer:
$879.190 = $879.19
$532.626 = $532.627
Step-by-step explanation:
You round up for the tenths place if the hundredths place is above five, but you round down for the tenths place if the hundredths place is below five. For example, 0 is below five for $879.190, so I round to 9.
PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER PLS GIVE ME A STEP BY STEP EXPLANATION!!
Answer:
D
Step-by-step explanation:
we take the base as a right angled triangle with sides 6mi , 8 mi and hypotenuse 10 mi.
area of base=1/2×6×8=24 mi²
volume=base area ×height
=24×8
=192 mi³
Answer:
D
Step-by-step explanation:
Divide: −5/8÷12 Enter your answer as a fraction in simplest form, like this: 42/53
Step-by-step explanation:
If you like my answer than please mark me brainliest
X = [?]°
Dr.
X Х
As
140°
B
C
Answer:
40°
Step-by-step explanation:
x+140=180°(angle on a straight line)
x=180-140
x=40°
∠DBA and ∠DBC are making linear pair.
Linear pair of angles are formed when two lines intersect each other at a single point.
The sum of angles of a linear pair is always equal to 180°[tex] \rm \large\longrightarrow \: \: x \: + \: 140 \degree \: = \: 180 \degree[/tex]
[tex]\rm \large\longrightarrow \: \: x \: = \: 180 \degree \: - \: 140 \degree \: [/tex]
[tex]\rm \large\longrightarrow \: \: x \: = \: 40 \degree[/tex]
13 = 2m + 5
whats m?
Answer:
M is 4
Step-by-step explanation:
in order to solve, 13=2m+5, you need to subtract 5 from both sides.
13=2m+5
-5 -5
Which is,
8=2m, then you divide both sides by 2. That gives you, 4=m. Therefor, m is 4.
What is the measure of \angle x∠xangle, x?
Angles are not necessarily drawn to scale.
Answer:
74 degrees
Step-by-step explanation:
You can see this is a supplementary angle, which means that it is a straight line with a line sticking out. This means the two angles add up to 180 degrees, so 180 - 106 = 74, which is your answer.
Answer:
x = 74°
Step-by-step explanation:
x + 106 = 180 {linear pair}
Subtract 106 from both sides
x = 180 - 106
x = 74°
Factor 2x2c2 + 3xc2 − 35c2. Show your work.
Answer:
c²(x + 5)(2x - 7)Step-by-step explanation:
2x²c² + 3xc² - 35c² =c²(2x² + 3x - 35) =c²(2x² + 10x - 7x - 35) =c²(2x(x + 5) - 7(x + 5)) =c²(x + 5)(2x - 7)[tex]\\ \sf\longmapsto 2x^2c^2+3xc^2-35c^2[/tex]
Take c^2 common[tex]\\ \sf\longmapsto c^2(2x^2+3x-35)[/tex]
Factor the brackets[tex]\\ \sf\longmapsto c^2(2x^2+10x-7x-35)[/tex]
[tex]\\ \sf\longmapsto c^2(2x(x+5)-7(x+5))[/tex]
[tex]\\ \sf\longmapsto c^2(2x-7)(x+5)[/tex]
Prove that angle ABD is congruent to angle CBE
with solution!
ANSWER:
the conditions are the angle a is equal to angle c and ab = bc . Hence we need to prove that the triangles is congruent to the triangle cbe. ... angle A =angle C and AB=BC.
3. What is height of the cylinder?
Answer:
16
Step-by-step explanation:
When the hypotenuse is given, you can use this formula to solve for the leg
b = root c^2 - a^2
b = root 20^2 - 12^2
b = 16 in
Hope this helps!
Please help explanation if possible
Step-by-step explanation:
Y=
[tex]y = 10 - 8x \\ put \: this \: in \: the \: second \: equation \\ 2(10 - 8x) - 4x = 40 \\ 20 - 16x - 4x = 40 \\ 20 - 20x = 40 \\ - 20 = 20x \\ x = - 1 \\ put \: the \: value \: of \: x \: in \: th \: first \: equation \\ y = 10 - 8( - 1) \\ y = 10 + 8 \\ y = 18[/tex]
Hence, x=-1 and y=18
Answer:
(- 1, 18 )
Step-by-step explanation:
Given the equations
y + 8x = 10 ( subtract 8x from both sides )
y = 10 - 8x → (1)
2y - 4x = 40 → (2)
Substitute y = 10 - 8x into (2)
2(10 - 8x) - 4x = 40 ← distribute and simplify left side
20 - 16x - 4x = 40
20 - 20x = 40 ( subtract 20 from both sides )
- 20x = 20 ( divide both sides by - 20 )
x = - 1
Substitute x = - 1 into (1) for corresponding value of y
y = 10 - 8(- 1) = 10 + 8 = 18
solution is (- 1, 18 )
Solve by factoring
6x^2 +13x -28 =0
Answer:
x=-7/2, x=4/3
Step-by-step explanation:
[tex]6x^2+13x-28=0[/tex]
Multiply 6 and -28 to get -168
Find 2 numbers that multiply to 168 but add to 13
They are 21 & -8
Rewrite the equation into:
[tex]6x^2+21x-8x-28=0[/tex]
Factor
[tex]3x(2x+7)-4(2x+7)=0[/tex]
(3x-4)(2x+7)=0
3x=4
x=4/3
2x=-7
x=-7/2
Which of the following represents a function
Answer:
D
Step-by-step explanation:
A has -1 going to two different y values so it is not a function
B has x = -1 going to two different y values so it is not a function
C has the input of 3 going to two different y values so it is not a function
D each input goes to only 1 output so it is a function
Hey there! I believe the answer would be choice D. because it is the only choice that has one input for each output.
Hope this helps!
Have a wonderful day!
