hey! please help explaining this!!

Answer:

Part A

b. 14.6 ± 7.38

Part B

b. 3.43

Part C

a. P-value < 0.01

Part D

b. There is sufficient evidence to reject the null hypothesis

Step-by-step explanation:

Part A

The given data are;

The number of seedlings in the field = 20

The number of seedlings selected to receive herbicide A = 10

The number of seedlings selected to receive herbicide B = 10

The height in centimeters of seedlings treated with Herbicide A, [tex]\overline x _1[/tex] = 94.5 cm

The standard deviation, s₁ = 10 cm

The height in centimeters of seedlings treated with Herbicide B, [tex]\overline x _2[/tex] = 109.1 cm

The standard deviation, s₂ = 9 cm

The 90% confidence interval for μ₂ - μ₁, is given as follows;

[tex]\left (\bar{x}_{2}- \bar{x}_{1} \right )\pm t_{\alpha /2}\sqrt{\dfrac{s_{1}^{2}}{n_{1}}+\dfrac{s_{2}^{2}}{n_{2}}}[/tex]

The critical-t at 95% and n₁ + n₂ - 2 degrees of freedom is given as follows;

The degrees of freedom, df = n₁ + n₂ - 2 = 10 + 10 - 2 = 18

α = 100% - 90% = 10%

∴ For two tailed test, we have, α/2 = 10%/2 = 5% = 0.05

[tex]t_{(0.025, \, 18)}[/tex] = 1.734

[tex]C.I. = \left (109.1- 94.5 \right )\pm 1.734 \times \sqrt{\dfrac{10^{2}}{10}+\dfrac{9^{2}}{10}}[/tex]

C.I. ≈ 14.6 ± 7.37714603353

The 90% C.I. ≈ 14.6 ± 7.38

b. 14.6 ± 7.38

Part B

With the hypotheses are given as follows;

H₀; μ₂ - μ₁ = 0

Hₐ; μ₂ - μ₁ ≠ 0

The two sample t-statistic is given as follows;

[tex]t=\dfrac{(\bar{x}_{2}-\bar{x}_{1})}{\sqrt{\dfrac{s_{1}^{2} }{n_{1}}+\dfrac{s _{2}^{2}}{n_{2}}}}[/tex]

[tex]t-statistic=\dfrac{(109.1-94.5)}{\sqrt{\dfrac{10^{2} }{10}+\dfrac{9^{2}}{10}}} \approx 3.43173361147[/tex]

The two sample t-statistic ≈ 3.43

b. 3.43

Part C

From the t-table, the p-value, we have, the p-value < 0.01

a. P-value < 0.01

Part D

Given that a significance level of 0.05 level is used and the p-value of 0.01 is less than the significance level, there is enough statistical evidence to reject the null hypothesis

b. There is sufficient evidence to reject the null hypothesis.

Answer:

[tex]x = 25[/tex]

Step-by-step explanation:

The angles are vertical since they form from two lines crossing at a point and they share a same vertex.

Vertical angles are equal so

[tex]4x - 25 = 75[/tex]

[tex]4x = 100[/tex]

[tex]x = 25[/tex]

Answer:

86.54625

Step-by-step explanation:

Formula: a = πr², r = d/2

Given: π = 3.14, d = 10.5

Sub: a = (3.14)r²

Find r.

10.5/2

5.25

Sub: a = (3.14)5.25²

Solve: 86.54625

Answer:

D

Step-by-step explanation:

Answer:

1885

Step-by-step explanation:

Volume = Base x Height

Answer:

4pi millimeters.

Assuming pi = 3.14159, we can approximate the diameter to be 12.56636mm

Step-by-step explanation:

To get the circumference of a circle, just multiply the diameter by pi

Answer:

C=0.125m

Step-by-step explanation:

C = 2[tex]\pi[/tex]r= (2r)[tex]\pi[/tex] = d[tex]\pi[/tex] = 0.004·[tex]\pi[/tex] = 0.125m

Answer:

( 4 , − 1 )

Step-by-step explanation:

y= (x + 3)(x + 5)

y= x^2 + 5x + 3x + 15

y= x^2 + 8x +15

Answer:

It means that 20 times x is 5

also the answer to that problem (20x=5) is 1/4

Step-by-step explanation:

20x means

20 * x

and since 20 * x = 5

divide 5 and 20

5/20 = 1/4

Answer:

[tex]400\ cm^2[/tex]

Step-by-step explanation:

1. Approach

The surface area of an object is the two-dimensional area around the object. If one was going to wrap the figure in paper, then the surface area would be the amount of paper one would need to cover the entirety of the object. To find the surface area of an object, calculate the area of each face of the object and then add up the results,

2. Find the area of each face

The area of all the rectangular faces can be found by using the formula to find the area of a rectangle, ([tex]length*width[/tex]). Substitute in each of the values,

[tex]17*7=119[/tex]

[tex]15*7=105[/tex]

[tex]8*7=56[/tex]

Now find the area of the triangular faces. This can be done by using the formula for the area of a triangle, ([tex]\frac{(length)*(width)}{2}[/tex]). Substitute in the given values,

[tex]\frac{(15)*(8)}{2}=60[/tex]

[tex]\frac{(15)*(8)}{2}=60[/tex]

3. Find the total surface area

Now add up the values of the area for each of the faces of the prism,

[tex]119+105+56+60+60[/tex]

[tex]=400[/tex]

Answer:

20%

Step-by-step explanation:

465 - 372 = 93

93/465 = 0.2

0.2 × 100 = 20

Hope this helps !

Answer:

a reflection followed by a translation

Step-by-step explanation:

Answer:

I think it's 56.4

Step-by-step explanation:

if not I'm sorry

Answer:

Step-by-step explanation:

x-2y = 2

-x+2y = 2

set 1st eq. equal  to 2nd equation since they both equal 2

x -2y = -x + 2y

2x = 4y

x = 2y

1/2x = y

(x, 1/2x )    :P

Answer:

area of ring shape =

[tex](\pi \times 6 \times 6) - (\pi \times 4 \times 4)[/tex]

=

[tex]36\pi - 16\pi[/tex]

=

[tex]20\pi[/tex] square inches

Answer:

60%

Step-by-step explanation:

Answer:

Step-by-step explanation:

Part A

Since, all angle formed at point F lie on a straight line CE.

Therefore, sum of angles ∠AFE, ∠AFB, ∠CFB will be 180°.

(7x + 4) + (8x + 6) + (6x + 2) = 180

21x + 12 = 180

21x = 168

x = 8

Part B

Two lines CD and AE intersect each other at point F.

Therefore, ∠AFE ≅ ∠DFC [Vertically opposite angles]

m∠CFD = (7x + 4)°

             = 7(8) + 4

             = 60°

Since, all angles formed at point F on a straight line AD are linear angles,

m∠AFB + m∠CFB + m∠CFD = 180°

(8x + 6) + (6x + 2) + m∠CFD = 180°

14x + 8 + m∠CFD = 180

m∠CFD = 172 - 14x

             = 172 - 14(8)

             = 172 - 112

             = 60°

Answer:

65 degrees, because vertical angles are always congruent.

Step-by-step explanation:

Answer:

Step-by-step explanation:?

Answer:1

Step-by-step explanation:

4x-4x+4=4h(x)

4=4h(x)

h(x)=1

h(-3)h(-3)=(1)(1)=1

Answer:

pretty simple, you should get 1824

Step-by-step explanation:

first find area of square, you should get 1536 in^2. Then triangle, the formula is base times height divided by 2. lmk if you need more help

Answer:

Step-by-step explanation: Vertex Equatiation Por mxa Plus B = X gtex Lp Cneter to 16u8 Killomtrss to ball

Answer:

D. 29.5 feet

Step-by-step explanation:

1) First you use the pythagorean theorem a^2+b^2=c^2

2) 26^2+14^2=c^2 The wire is the hypotenuse.

3) Simplify the equation. 676+196=c

4) 872=c

5) Find the square root of 872 and round to the nearest tenth.

6) Your answer is 29.5 feet.

Hope this helps!

Answer:

1. 3k=150

2. 50

Answer:

the number of short sleeves sold is 42

Step-by-step explanation:

The computation of the number of short sleeves sold is shown below:

Given that

The clothing store sold 98 long sleeve shirts

And, the ratio of short sleeve to long sleeve is 3:7

So, the number of short sleeves sold is

= 98 × 3 ÷ 7

= 42

Hence, the number of short sleeves sold is 42

Answer:

C

Step-by-step explanation:

consistently goes down by 3.2 for the y value

Answer:

11.3

Step-by-step explanation:

Volume: L * W * H

L = 20

W = 8

H = 35 mm = 35/10 = 3.5 cm

V = 20 * 8 * 3.5

V = 560 cm^3

Density = m/v

Density = 6328 / 560

Density = 11.3

Answer:

2(x – ½)(x + ½)

Step-by-step explanation:

2x² – ½

The above expression can be factorised as follow:

2x² – ½

2 is common to both 2 and ½. Thus,

2x² – ½ = 2[x² – ¼]

Recall

(½)² = ¼

Thus,

2[x² – ¼] = 2[x² – (½)²]

Difference of two squares

2(x – ½)(x + ½)

Therefore,

2x² – ½ = 2(x – ½)(x + ½)

Answer:

they would make a staright line or straight angle, which would be 180 degrees.

Brainliest?

Step-by-step explanation:

Answer:

The answer for x is ten