Complete question is;
A researcher wants to see if a kelp extract helps prevent frost damage on tomato plants. One hundred tomato plants in individual containers are randomly assigned to two different groups. Plants in both groups are treated identically, except that the plants in group 1 are sprayed weekly with a kelp extract, while the plants in group 2 are not. After the first frost, 12 of the 50 plants in group 1 exhibited damage and 18 of the 50 plants in group 2 showed damage. Let p1 be the actual proportion of all tomato plants of this variety that would experience damage under the kelp treatment, and let p2 be the actual proportion of all tomato plants of this variety that would experience damage under the no-kelp treatment. Is there evidence of a decrease in the proportion of
tomatoes suffering frost damage for tomatoes sprayed with kelp extract? To determine
this, yo u test the hypotheses H0: p1 = p2, Ha: p1 < p2. The p - value of your test is
A) greater than 0.10.
B) between 0.05 and 0.10.
C) between 0.01 and 0.05.
D)between 0.001 and 0.01.
E) below 0.001.
Answer:
B) between 0.05 and 0.10.
Step-by-step explanation:
We are given;
Number of plants in group that exhibited damage = 12
Number of group 1 plants; n₁ = 50
Number of plants in group 2 that exhibited damage = 18
Number of group 2 plants; n₂ = 50
Proportion of plants in group 1 that exhibited damage; p₁^ = 12/50 = 0.24
Proportion of plants in group 2 that exhibited damage; p₂^ = 18/50 = 0.36
Pooled proportion; p¯ = (12 + 18)/(50 + 50) = 0.3
q¯ = 1 - p¯
q¯ = 1 - 0.3 = 0.7
Z-score will be;
z = ((p₁^ - p₂^) - 0)/√((p¯•q¯)×((1/n₁) + (1/n₂))
Plugging in the relevant values;
z = (0.24 - 0.36)/√((0.3 × 0.7) × ((1/50) + (1/50))
z = -0.12/0.092
z = -1.3
From z-distribution table attached, we have;
p-value = 0.0968
Correct answer is option B.
At a local restaurant, the amount of time that customers have to wait for their food is
normally distributed with a mean of 32 minutes and a standard deviation of 3
minutes. Using the empirical rule, determine the interval of minutes that the middle
99.7% of customers have to wait.
Answer:
.........................
Step-by-step explanation:
.................................................
Answer:
99.7% of customers have to wait between 8 minutes to 30 minutes for their food.
Step-by-step explanation:
We are given the following in the question:
Mean, μ = 18 minutes
Standard Deviation, σ = 3 minutes
We are given that the distribution of amount of time is a bell shaped distribution that is a normal distribution.
Empirical Formula:
Almost all the data lies within three standard deviation from the mean for a normally distributed data.
About 68% of data lies within one standard deviation from the mean.
About 95% of data lies within two standard deviations of the mean.
About 99.7% of data lies within three standard deviation of the mean.
Thus, 99.7% of the customers have to wait:
`
Thus, 99.7% of customers have to wait between 8 minutes to 30 minutes for their food.
hope this helps
plz can i get brainliest:)
[tex]\frac{33}{4-\sqrt{5} }[/tex]
What is the area of the figure shown? 3 in. 10 in. 5 in. 10 in.
Please I need help—
Answer:
65 in²Step-by-step explanation:
The total area is the sum of the areas of the rectangle and the triangle:
5*10 + 1/2*10*3 = 65 in²Answer:
area of figure =area of (rectangle+TRAINGLE)
=l×b+1/2 p×b=10×5+1/2 ×3×10=50+15=65 inch² is your answer
At the craft store, Janice bought a bag of green and yellow marbles. She received 14 green marbles and 11 yellow marbles. What percentage of the marbles were green?
Answer: 56%
Step-by-step explanation:
Since Janice bought a bag of green and yellow marbles and she received 14 green marbles and 11 yellow marbles, the total number of marbles will be:
= 14 + 11 = 25 marbles
Number of Yellow marbles = 11
Number of Green marbles = 14
Total number of marbles = 25
The percentage of the marbles that were green will be:
= Number of Green marbles / Total marbles × 100
= 14/25 × 100
= 14 × 4
= 56%
Solve for x. round to the nearest tenth. please help!!
Answer:
∠x = 39.6°
Step-by-step explanation:
tan x = 19/23 = 0.8261
x = 39.6°
The Petri dish shown has no lid. What is the surface area of the outside of the Petri dish? Round to the nearest tenth. A cylindrical-shaped Petri dish with a radius of 50 millimeters and a height of 15 millimeters.
Answer:
12566.4 mm²
Step-by-step explanation:
The Petri dish shown has no lid. What is the surface area of the outside of the Petri dish? Round to the nearest tenth. A cylindrical-shaped Petri dish with a radius of 50 millimeters and a height of 15 millimeters.
TSA = Total Surface Area
CSA = Curved Surface Area
TSA of open cylinder = CSA of cylinder + area of base or top
= 2πrh + πr²
= πr(2h + r)
From the above question:
r = 50mm
h = 15mm
Hence,
= π × 50 (2 × 15 + 50)
= π × 50 (30 + 50)
= π × 50(80)
= π × 4000
= 12566.370614mm²
Approximately = 12566.4 mm²
The Surface Area of the petri dish with no lid = 12566.4 mm²
Someone please help me I’ll give out brainliest please dont answer if you don’t know
Answer:
x = 112
Step-by-step explanation:
1/8x + 2 = 16
Subtract 2 from both sides
1/8x = 14
Multiply both sides by 8
x = 112
7/12 = 3x/9
In the equation above, what is the value of x?
A. 4/7
B. 4/21
C. 1 3/4
D. 5 1/4
Don’t link any websites please.
Answer:
C. x = 1 3/4
Step-by-step explanation:
7/12 * 9 = 3x/9 * 9
63/12 = 3x -->
(63/12) / 3 = 3x / 3
63/36 = x
x = 7/4 --> 1 3/4
Find the value of X?
Answer:
Using this to get my answer done ;)
Step-by-step explanation:
hehe
martin has \frac{5}{6} of pizza liam has 4 times as much pizza
Answer:
10/3 pizza
Step-by-step explanation:
step one:
This problem is focused on ratios and fractions
from the problem statement, Martin has 5/6 pizza
Liam has 4 times more of what Martin have
step two:
so we can express what Liam has as
=(5/6)*4 = 20/6or
=5/6+5/6+5/6+5/6= 20/6
= 20/6
2 % of 687.28 m Give your answer rounded to 2 DP.
Answer:
13.75m
Step-by-step explanation:
Reina scored twice as many goals at her last field hockey game as she did during the first game of the season. If F represents the number of goals Reina scored during the first game, which expression represents the number of goals she scored during the last game?
the answer is b mnnnnb,me. wmr3,mfr3;kmv 2
The China Company offers a trade-discount rate that is 4 times the complement of the trade-discount rate. If the list price is $58.75, what is the trade discount? What is the net price?
Answer: See explanation
Step-by-step explanation:
Since the complement is the difference between 100% and discount rate. Since the China Company offers a trade-discount rate that is 4 times the complement of the trade-discount rate. Therefore, the discount rate will be 80% and the complement 20%.
Therefore, the trade discount will be:
= List price × Trade discount rate
= $58.75 × 80%
= $58.75 × 0.8
= $47
Net price = List price - Trade discount
= $58.75 - $47
= $11.75
What is the first step to solve this equation:
11 - 3x = 44
Question 3 options:
Add 3 to both sides
Add 11 to both sides
Subtract 11 from both sides
Divide 3 on both sides.
Which is larger? Convert to a decimal using long division. please show your work!!
Answer:
1.255
Step-by-step explanation:
10^-1 equals 0.1
1÷8=0.125
so our greatest one is 1.255
Which number has the greatest value?
A 7.8 x 10-3
B 1.3 x 10-6
C 5.5 x 10-3
D 9.5 x 10-2
Answer:
D 9.5 x 10^-2
Step-by-step explanation:
D becuase it is only 10^-2, the other ones are 10^-3, which is less than 10^-2
if f(x) = 2x +1 and g(x) = 5x-6 then what are f(-1) and g(3)
Answer: -1
Step-by-step explanation: ANSWER : -1
f(x)=3x−1=y
⇒x=3y+1
∴f−1(y)=3y+1
⇒f−1(x)=3x+1
g(x)=5x+6=z
⇒x=5z−6
g−1(z)=5z−6
⇒g−1(x)=5x−6
g−1(f−1(x))=g−1(3x+1)
=53x+1−6
=15x−17
∴g−1(f−1(2))=
what number should come next in the pattern 1,2,3,5,8
does anyone know the answer?
Answer:
E
Step-by-step explanation:
Answer:
It's E l did that before
which angles are vertical to eachother
Answer:
∠1 and ∠4
Step-by-step explanation:
PLEASE HELP
Lateena solved the equation below. Is her solution correct? Explain why or why not.
Answer:
it isn't correct
[tex]x {}^{2} - 6x - 7 = 0 \\ d = 36 + 28 = 64 \\ x1 = \frac{6 - 8}{2} = - 1 \\ x2 = \frac{6 + 8}{2} = 7[/tex]
Answer:
her solution isn't correct .
because she had done a slight mistake in her calculation.
i.e.
[tex]\sqrt{16}=4 \:\:not \:\:16[/tex]
Step-by-step explanation:
solution given:
x²-6x-7=0
making it a perfect square
we must make it on the form of (a+b)²or(a-b)²
so
x²-2*3*x+3²-3²-7=0
(x-3)²-9-7=0
(x-3)²-16=0
adding 16 on both aide
(x-3)²=16
doing square root on both side
[tex]\sqrt{(x-3)²}=\sqrt{16}[/tex]
x-3=±4
taking positive
x-3=4
adding 3 on both side
x=7
and.
taking negative
x-3=-4
adding 3 on both side
x=-4+3
x=-1
x=-1 or 7
The answer to this would be really greattt
Answer:
270 cm2
Step-by-step explanation:
multiply the two triangles is 60
the rectangle on the left 35
rectangle on the bottom 84
rectangle on the top 91
What is the figure shown below?
N
м.
A...line
B..line segment
C..ray
Answer:
c its Ray I looked on goggle and I looked up Ray and it showed a picture of that
Answer:
Its a ray I didnt need to look it up cause I alr did this before
HELP NOW PLEASE ANSWER COMPLETELY ACCURATE USE PAPER IF NECESSARY AND UPLOAD PHOTO TO RESPONSE I WILL GIVE BRAINLIEST PLEASE HELP
Answer:
a. y=2.50x+5
b. The y-intercept of the equation is y=5, or (0,5).
The 5 represents the "b" of the equation where she spent $5
c. The slope of the equation is 2.5 or 2/5.
the slope represents the "m" of the equation where she spent $2.50 per pound on tomatoes
d. y=mx+b
y=2.50(4)+5
y=10+5
y=$15
Step-by-step explanation:
d. y=mx+b
y=2.50(4)+5
y=10+5
y=$15
El largo de una casa es el triple de su ancho. Si a la longitud se suma 40 metros y al ancho 1 metro, el área se triplica
Answer:
el ancho es de 8 metros y el largo es 3 * 8 = 24 metros
width is 8 meters and length is 3*8= 24 meters
Step-by-step explanation:
Spanish
Si el ancho de la casa de la casa es x, entonces el largo de la casa es 3x.
Entonces el área = largo * ancho
área = 3x * x = 3x²
3 multiplicado por área = 9x²
9x² = (3x + 40) (x + 1)
9x² = 3x² + 3x + 40x +40
9x² = 3x² + 43x +40
0 = -6x² + 43x +40
0 = 6x²- 43x - 40
6x²- 43x - 40 = 0
Usando ecuación cuadrática
a = 6, b = -43, c- = -40
x = - b ± √b²- 4ac / 2a
x = 43 ± √1849- 4 (6) (- 40) / 12
x = 43 ± √1849 + 960/12
x = 43 ± 53/12
x = 43+ 53/12 y x = 43-53 / 12
x = 96/12 y x = -10/12
x = 8 y x = - 5/6
Ignorando el valor negativo x = 8 el ancho es de 8 metros y el largo es 3 * 8 = 24 metros
English
The length of a house is three times its width. If 40 meters are added to the length and 1 meter to the width, the area is tripled
If the width of the house of the house is x then the length of the house is 3x.
Then the area = length * breadth
area= 3x*x= 3x²
3 times area= 9x²
9x²= (3x+40 )(x+1)
9x²= 3x²+ 3x +40x +40
9x²= 3x²+ 43x +40
0 = -6x²+ 43x +40
0 = 6x²- 43x - 40
6x²- 43x - 40= 0
Using quadratic equation
a= 6 , b= -43 , c-= -40
x= - b±√b²- 4ac/ 2a
x= 43±√1849- 4(6)(-40)/ 12
x= 43±√1849+960/ 12
x= 43± 53/ 12
x= 43+ 53/ 12 and x= 43- 53/ 12
x= 96/ 12 and x= -10/ 12
x= 8 and x= - 5/6
Ignoring the negative value x= 8 width is 8 meters and length is 3*8= 24 meters
Please answer correctly! I will mark you Brainliest!
Answer:
27
Step-by-step explanation:
V=a^3=3^3=27
is it true or false??
Answer:true
Step-by-step explanation:
It would be -6 which is less that -9
Simplify the expression: 2 = (a + 5) =
Answer:
a+7
Step-by-step explanation:
Iria made a scaled copy of the following triangle. She used a scale factor greater than 111.
What could be the length of the base of the scaled copy of the triangle?
HELP!!!! Put the following in order from greatest to least.
Answer:
A
Step-by-step explanation:
A = 9, 7, 5, -2, -6, -8
can someone please help me
Answer:
y - 24 = - 7(x + 4)
Step-by-step explanation:
The equation of a line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b) a point on the line
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 4, 24) and (x₂, y₂ ) = (7, - 53)
m = [tex]\frac{-53-24}{7+4}[/tex] = [tex]\frac{-77}{11}[/tex] = - 7
Using m = - 7 and (a, b) = (- 4, 24 ) , then
y - 24 = - 7(x - (- 4)), that is
y - 24 = - 7(x + 4)