For a certain brand of tomato seeds, the seed package claims that it takes 87 days after planting for the tomato plants to produce fruit. Sarah, a botanist, wanted to know whether the mean number of days for the plants to produce fruit where she lives is different from 87 days. She planted 40 seeds and recorded the number of days for each plant to produce fruit. With all conditions for inference met, the hypothesis test was conducted at the significance level a = 0.05, and the test resulted in a p-value of 0.0752. ?
Which of the following is a correct conclusion?
A. Sarah has convincing statistical evidence to conclude that the population mean number of days for the plants to produce fruit is greater than 87 days.
B. Sarah has convincing statistical evidence to conclude that the population mean number of days for the plants to produce fruit is different from 87 days.
C. Sarah does not have convincing statistical evidence to conclude that the population mean number of days for the plants to produce fruit is greater than 87 days.
D. Sarah does not have convincing statistical evidence to conclude that the population mean number of days for the plants to produce fruit is different from 87 days.
E. Sarah does not have convincing statistical evidence to conclude that the population mean number of days for the plants to produce fruit is equal to 87 days.

Answer:

450 students

Step-by-step explanation:

Answer:

Answer B.

Because we know He's checking the experiment every 5 minutes.

Answer:

A

Step-by-step explanation:

f(x) = x

x = 3

->

f(3) = 3

A

Yes I think you are correct. The domain appears to be the set of x values such that -4 < x < 3 meaning that x is between -4 and 3, excluding each endpoint. In interval notation, that translates to (-4, 3). This of course assumes that we have two vertical asymptotes bookending the left and right sides of the curve, and these vertical asymptotes are at x = -4 and x = 3. If the curve extends beyond these boundaries, then the domain would instead be the set of all real numbers.

Answer:

Harper's age = 18

Miguel age = 16

Step-by-step explanation:

Given:

Miguel age = [2/3][Harper's age] + 4

Sum of their age = 34

Computation:

Assume;

Harper's age = a

So,

Miguel age = [2/3][a] + 4

Sum of their age = 34

So,

Miguel age + Harper's age = 34

[2/3][a] + 4 + a = 34

[2a / 3] + a = 34 - 4

[2a + 3a] / 3 = 30

5a / 3 = 30

5a = 90

a = 18

So,

Harper's age = 18

Miguel age = [2/3][a] + 4

Miguel age = 16

Use the binomial theorem:

[tex]\displaystyle (2x-9)^5 = \sum_{k=0}^5 \binom5k (2x)^{5-k}(-9)^k = \sum_{k=0}^5 \frac{5!}{k!(5-k)!} 2^5 \left(-\frac92\right)^k x^{5-k}[/tex]

The x ³ terms occurs for 5 - k = 3, or k = 2, and its coefficient would be

[tex]\dfrac{5!}{2!(5-2)!} 2^5 \left(-\dfrac92\right)^2 = \boxed{6480}[/tex]

Answer:

true

false

true

false

true

false

Step-by-step explanation:

Answer: B

Step-by-step explanation: So that you know you are only getting the best for what YOU PAID for.

Answer:

Step-by-step explanation:

19 of 22 participants (86.36%) from the high-power posing group took a gambling risk to double their money, while 12 of 20 (60%) from the low-power posing group took the gambling risk. Use a calculator tool from Module 10 to determine the p-value associated with the hypothesis test examining if there is a statistically significant difference between the proportion of people willing to take risks in the two groups. Round to 3 decimal places

H0 : P1 - P2 = 0

H1 : P1 - P2 ≠ 0

P1 = 0.8636

P2 = 0.6

q1 = 1 - P1 = 0.1364

q2 = 1 - P2 = 0.4

Tstatistic = (p1 - p2) ÷ √(p1q1)/n1 + (p2q2)/n2]

Tstatistic = (0.8636-0.6) ÷ √0.01735432]

Tstatistic = 0.2636 ÷ 0.1317357

Test statistic = 2.0009761

Test statistic = 2

The Pvalue from t statistics :

Tscore = 2 ; df = 20 + 22 - 2 = 40

Answer:

I would maybe say 34% im in sixth grade and this hard for me atleast i tried

Step-by-step explanation:

Answer:

1 out of 27,636,336,000

Step-by-step explanation:

40 · 39 · 38 · 37 · 36 · 35 = 27,636,336,000

Answer: 3n - 12

Product means multiplication. So the 3 and n are being multiplied. If 12 is less than, then that means it is being subtracted from 3n, not the other way around.

Answer:

She needs a time of 61 min on her 8th ride

in order to average 51 min for the 8 rides

Step-by-step explanation:

+%28+46+%2B+48+%2B+50+%2B+43+%2B+54+%2B+54+%2B+52+%2B+t+%29+%2F+8+=+51+

+347+%2B+t+%29+%2F+8+=+51+

+347+%2B+t+=+408+

+t+=+61+

Answer:

[tex](-2,8)[/tex]    [tex](7,5)[/tex]      [tex](1,7)[/tex]

Step-by-step explanation:

Given

[tex]x + 3y = 22[/tex]

Solving (a): The possible coordinates

We have:

[tex](x,y) = (-2,8)[/tex]

This gives:

[tex]x + 3y = 22 \to -2 + 3 * 8[/tex]

[tex]x + 3y = 22 \to -2 + 24[/tex]

[tex]x + 3y = 22 \to 22[/tex]

(-2,8) is a point on the grid

[tex](x,y) = (7,5)[/tex]

This gives:

[tex]x + 3y = 22 \to 7 + 3 * 5[/tex]

[tex]x + 3y = 22 \to 7 + 15[/tex]

[tex]x + 3y = 22 \to 22[/tex]

(7,5) is a point on the grid

[tex](x,y) = (-5,5)[/tex]

This gives:

[tex]x + 3y = 22 \to -5 + 3 * 5[/tex]

[tex]x + 3y = 22 \to -5 + 15[/tex]

[tex]x + 3y = 22 \to 10[/tex]

(-5,5) is a not point on the grid

[tex](x,y) = (1,3)[/tex]

This gives:

[tex]x + 3y = 22 \to 1 + 3 * 3[/tex]

[tex]x + 3y = 22 \to 1 + 9[/tex]

[tex]x + 3y = 22 \to 10[/tex]

(1,3) is a not point on the grid

[tex](x,y) = (1,7)[/tex]

This gives:

[tex]x + 3y = 22 \to 1 + 3 * 7[/tex]

[tex]x + 3y = 22 \to 1 + 21[/tex]

[tex]x + 3y = 22 \to 22[/tex]

(1,7) is a point on the grid

So, we plot the following on the grid

[tex](-2,8)[/tex]    [tex](7,5)[/tex]      [tex](1,7)[/tex]

See attachment

Bert, Camille, and Etsuko.

Answer:

Bert, Camille, and Etsuko has the solution as x = 4.

Step-by-step explanation:

Bert:

2x - 9 = -1

Camille:

-2x + 12 = 4

Etsuko

[tex]2(x - 10) = - 12[/tex]

Answer:

95

Step-by-step explanation:

a cardinal number is anything that is to 70 and the rest of the numbers above 70 are counting by 10s

Given:

The figure of a triangle.

To find:

The missing length.

Solution:

Let x be the missing length.

Basic proportionality theorem(BPT): According to this theorem, if a line is parallel to the one side of a triangle then that the line intersects the other two sides of the triangle in the same ratio.

Using Basic proportionality theorem, we get

[tex]\dfrac{6}{8-6}=\dfrac{12-x}{x}[/tex]

[tex]\dfrac{6}{2}=\dfrac{12-x}{x}[/tex]

[tex]3=\dfrac{12-x}{x}[/tex]

[tex]3x=12-x[/tex]

Adding x on both sides, we get

[tex]3x+x=12[/tex]

[tex]4x=12[/tex]

[tex]x=\dfrac{12}{4}[/tex]

[tex]x=3[/tex]

The missing length is 3 Therefore, the correct option is D.

Answer:

Step-by-step explanation:

n+37=180

n=180-37=143°

Answer:

B) 143°

Step-by-step explanation:

Since n° is supplementary to 180°, then n°=180°-37°=143°.

Answer:

2,3,4, and 5

Step-by-step explanation:

#1

So all are positive

#2

In Q3

Hence all are negative

#4

Yes anything left to or bottom to zero us negative

#6

option A,B,D,F are correct

Answer:

15 ml

Step-by-step explanation:

Find the volume of the tank which is 1.8m*0.6m*0.5m=0.54m^3

For every 0.18m^3,5ml of treatment is added,what of 0.54m^3

(0.54m^3*5ml)/(0 18m^3)=15ml

Answer: 10%

Step-by-step explanation:

Since the shopkeeper purchased 60 pencil boxes for 4,500, he purchased them at the rate of:

= 4500 / 60

= 85 per pencil box

If the shopkeeper sold them at the rate of 4,125 for 50 pencil boxes, then he sold them at the rate of:

= 4125 / 50

= 82.50 per pencil box.

Therefore the percentage profit will be:

= Gain / Cost price × 100

= (82.50 - 75) / 75 × 100

= 7.5/75 × 100

= 10%

Answer: B. 183 cm^3

V = pi r^2 h/3

V = pi (5^2) (7/3)

V = pi (25) (2.33)

V = 183

Answer:

B.183 [tex]cm^{3}[/tex]

Step-by-step explanation:

Volume of cone is [tex]V=\pi r^{2} \frac{h}{3}[/tex]

where h=7 and r=5 (because r=d/2, where d=10)

V=[tex]5^{2}\frac{7}{3}\pi[/tex]

V=25·[tex]\frac{7}{3} \pi[/tex]

V=175/3[tex]\pi[/tex]

V=183.2595715 or 183 [tex]cm^{3}[/tex]

Answer:

[tex]f^{-1}(6) = 50[/tex]

Step-by-step explanation:

Given

[tex]f(x) = \sqrt{2x} - 4[/tex]

Required

Find [tex]f^{-1}(6)[/tex]

First, we calculate the inverse function

[tex]f(x) = \sqrt{2x} - 4[/tex]

Express f(x) as y

[tex]y = \sqrt{2x} - 4[/tex]

Swap the positions of x and y

[tex]x = \sqrt{2y} - 4[/tex]

Solve for y: Add 4 to both sides

[tex]4 + x = \sqrt{2y} - 4+4[/tex]

[tex]4 + x = \sqrt{2y}[/tex]

Square both sides

[tex](4 + x)^2 = 2y[/tex]

Divide both sides by 2

[tex]y = \frac{(4 + x)^2}{2}[/tex]

Express y as an inverse function

[tex]f^{-1}(x) = \frac{(4 + x)^2}{2}[/tex]

Next, solve for: [tex]f^{-1}(6)[/tex]

Substitute 6 for x

[tex]f^{-1}(6) = \frac{(4 + 6)^2}{2}[/tex]

[tex]f^{-1}(6) = \frac{(10)^2}{2}[/tex]

[tex]f^{-1}(6) = \frac{100}{2}[/tex]

[tex]f^{-1}(6) = 50[/tex]

Given:

The point (5,-2) is translated 3 units to the left.

To find:

The new location of the point.

Solution:

If a point is translated 3 units to the left, then

[tex](x,y)\to (x-3,y)[/tex]

Using this rule of translation, we get

[tex](5,-2)\to (5-3,-2)[/tex]

[tex](5,-2)\to (2,-2)[/tex]

Therefore, the new location of the point is (2,-2). Hence, the correct option is C.

This is in contrast to theoretical probability where it's what we think would happen, or predict to happen.

For example, the theoretical probability of getting heads on a coin is 1/2 = 0.50 = 50%. If you flip a coin say 1000 times and get 400 heads, then the empirical or experimental probability of getting heads is 400/1000 = 0.40 = 40%. The experimental probability is what actually happens when you do the experiment. The theoretical probability is what you predict what would happen given some list of assumptions and rules about the object.

According to the law of large numbers, the experimental probability should get closer and closer to the theoretical one assuming the theoretical probability has been calculated properly (and all assumptions are correct). If we got say 475 heads instead of 400, then we might have fairly good evidence that we have a fair coin (since 475/1000 = 0.475 is fairly close to 0.500); however, if we got something like 300 heads then we might suspect that the coin is biased toward tails than it is toward heads. The more trials you do, the better a picture you can get of it.