8x^2+10x+3=0 quadratic formula

Answer:

The 95% confidence interval for the difference between the mean yields for the two types of fertilizer is approximately 92.5536 pounds < [tex]\bar{x}_{1}- \bar{x}_{2}[/tex] < 35.39 pounds

Step-by-step explanation:

The harvest from each plot treated with fertilizer A and fertilizer B are presented as follows;

Fertilizer A

445, 510, 464, 472, 441, 480, 403, 460, 448, 457, 437, 505, 417

Fertilizer B

398, 380, 368 393, 424, 387, 378, 415

The number of trials of fertilizer A, n₁ = 13

The number of trials of fertilizer B, n₂ = 8

The confidence level = 95%

α = 1 - 0.95 = 0.05

∴ α/2 = 0.025

The degrees of freedom, df = 8 - 1 = 7

[tex]t_{\alpha /2}[/tex] = 2.365

From Microsoft Excel, we get;

The standard deviation of the pounds of harvested fruits for the plots treated with fertilizer A s₁ = 30.71603

The mean of the pounds of harvested fruits for the plots treated with fertilizer A, [tex]\overline x_1[/tex] = 456.8462

The standard deviation of the pounds of harvested fruits for the plots treated with fertilizer B s = 18.99201

The mean of the pounds of harvested fruits for the plots treated with fertilizer B,  [tex]\overline x_2[/tex] = 392.875

The 95% confidence interval, C.I. for the difference between the mean yields for the two types of fertilizer can be constructed with the following formula

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

By variable substitution, we get;

[tex]C.I. = \left (456.8462- 392.875 \right )\pm 2.635 \times \sqrt{\dfrac{30.71603^{2}}{13}+\dfrac{18.99201^{2}}{8}}[/tex]

The 95% confidence interval for the difference between the mean yields for the two types of fertilizer [tex]C.I. \approx 63.9712 \pm28.5824[/tex], which can be expressed as 92.5536 lbs. < [tex]\bar{x}_{1}- \bar{x}_{2}[/tex] < 35.39 lbs.

Answer:

6 4/5

Step-by-step explanation:

He has 1 1/5 lb. He needs 8 lb.

He needs the difference between 8 lb and 1 1/5 lb, so this is a subtraction problem. We must subtract 8 lb - 1 1/5 lb.

8 - 1 1/5 =

We cna subtract the 1 from the 8, but we need a fraction with fifths at the 8 in order to subtract 1/5 from it. We borrow 1 from 8 leaving 7, and we write the 1 as the fraction 5/5. Now we have

= 7 5/5 - 1 1/5

We subtract 1 from 7 leaving 6, and we subtract 1/5 from 5/5 leaving 4/5.

= 6 4/5

Answer: 6 4/5

Answer:

1,060.8 mm³

Step-by-step explanation:

Volume of the triangular prism = ½*bhl

Where,

b = 12 mm

h = √(12² - 6²) ≈ 10.4 mm (pythagorean theorem)

l = 17 mm

Plug in the values

Volume = ½*12*10.4*17

Volume = 1,060.8 mm³

Answer:

Either 8% or 12%.

Step-by-step explanation:

The triangles shown in figure are congruent by the triangle congruence postulate by ''SAS congruency'' theorem.

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

Given that;

These triangles are congruent.

Now, In both triangle shown in figure have;

⇒ One side is common. (Diagonal)

⇒ Two sides are equal.    (Given)

⇒ One pair of angle in both triangle are equal.

Hence, We get;

⇒ By SAS congruent theorem both triangles shown in figure are congruent.

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Answer:

135

Step-by-step explanation:

360-90=270

270/2=135

Answer:

angle7 = 80 (because vertically opposite angles are always equal)

angle7 + angle5 = 180 (because is a straight line)

80 + angle5 = 180

angle5 = 180 - 80

angle5 = 100

Answer:

2 cans are cokes.

Step-by-step explanation:

16/1 (total cans) * 1/8 (the amount that are coke) = 16/18 = 2

Answer:

128.10

Step-by-step explanation:

(8 * 16.95) - 7.50

(135.6) - 7.50

128.10

Answer:

A

Step-by-step explanation:

Hard to explain xD

y=mx+b

y-y1=m(x-x1)

Ax+By= C

Volume of a sphere:

V = 4/3 π r ³

Differentiate V with respect to time t :

dV/dt = 4π r ² dr/dt

Surface area of a sphere:

A = 4π r ²

Differentiate A with respect to t :

dA/dt = 8π r dr/dt

You're given that the volume is increasing at a constant rate, dV/dt = 10 cm³/s, so

10 cm³/s = 4π r ² dr/dt

Solve for dr/dt (the rate of change of the sphere's radius):

dr/dt = 5/(2π r ²) cm³/s

Substitute this into the equation for dA/dt :

dA/dt = 8π r (5/(2π r ²) cm³/s)

dA/dt = 20/r cm³/s

At the moment the radius is r = 5 cm, the surface area is increasing at a rate of

dA/dt = 20/(5 cm) cm³/s = 4 cm²/s

When the surface area is increasing at a rate of dA/dt = 2 cm²/s, the radius r is such that

2 cm²/s = 20/r cm³/s

which happens when the radius is

r = 20/2 (cm³/s) / (cm²/s) = 10 cm

Answer: D

Step-by-step explanation:

First, you have to multiply 2 by 7, because m=7. Then you have to multiply7 by -1 because n=-1. So on the top, you will get 14- -7. Now on the bottom, its just 7 + -1, which is 6. When there is a minus sign and a negative sign next to each other, for example 14- -7, you have to add. Next, you had 14 and 7 to get 21. Finally, you have to divide 21/6 and you get 3.5, which as a fraction is 7/2.

hope this helps :)

Answer:

1 L of petrol is used to travel 9 km.

Step-by-step explanation:

You can find the answers through the ratio method

20 L : 180 km

1 L : x

( x is the number we must find )

20 x = 180

x =

x = 9 km

Answer:

c. 67.5 cm^3

Step-by-step explanation:

V=whl

v=5*3*4.5

v=15*4.5

v=67.5 c^3

So C would be correct

Hope i helped, Brainliest would be appreciated!

Have a nice day!

 -Aadi x

Answer:

fasdfjahlskfhkajshf

Step-by-step explanation:

jfdlhgkdfhgldfhg lsdfjhgsdhflhg klsfdhgjdsfhgkdfhgh

∑⊥⇆Ф↑↓∩¬║⊅α∨∧

(testing answer, sorry for that)

monomial

Step-by-step explanation:

k2 is a monomial because having only one element is monomial

Answer:

0

Step-by-step explanation:

Slope of line

[tex] = \frac{ - 7 - ( - 7)}{ - 1 - ( - 6)} \\ \\ = \frac{ - 7 + 7}{ - 1 + 6} \\ \\ = \frac{0}{5} \\ \\ = 0[/tex]

Answer:

It is Undefined so its 0

Answer:

Suppose there are 10 tables. Putting 4 chairs at each table requires 4*10 = 40 chairs. Since this is 6 more chairs than he has, he must have 40 - 6 = 34 chairs.

Now suppose we put pairs of table together ("double tables"), so that 6 chairs can fit around each pair. With 10 tables, there will be 5 pairs, and with 6 chairs around each of these, we need 5*6 = 30 chairs. So 4 of the 34 chairs are left over. That's exactly what the problem said, so this is the answer.

Now, you may find that this check provides you with a model for the second equation you need to write! At least, I hope it clarifies what the problem means by "double tables".

Step-by-step explanation:

this is just my  interpritation, please tell me if wrong!!!

Answer:

M = 1, C = 4

Step-by-step explanation:

Just take note that all linear equation have the form Y = Mx + C.

Here you can read directly from the equation given.

Answer:

Change the minus sign to a plus. 2. ... 24. = 8. 11. 24. Find each quotient. 1. 1. 3. 1. 6. 2. 5. 8. 1. 16. 2. 1. 3 x. 6. 1 = 6 ... Write a variable expression to represent the word phrase.

The correct expression for the given condition is,

⇒ (16 ÷ 8) + 24

An expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division is called mathematical expression.

We have to given that;

The algebraic expression is,

''add 24 to the quotient of 16 and 8.''

Now, We can write the expression as;

Quotient of 16 and 8 is,

⇒ 16 ÷ 8

And, Add 24 to the quotient of 16 and 8.

⇒ (16 ÷ 8) + 24

Thus, The correct expression for the given condition is,

⇒ (16 ÷ 8) + 24

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Answer:

- $36,120

- $35,945

Step-by-step explanation:

This problem is rather pretty simple when breaking it down. We really just need to ask ourselves what the percent is of our whole and then add that to our total. Work shown below.

Step 1:

Move decimal over on both. You should get...

.032 and .027

(You always move it two to the left in these types of cases.)

Step 2:

Multiply our original price by inflation decimal. You should get...

$35,000 x .032 = $1,120

$35,000 x .027 = $945

Step 3:

Add our previous answer to our original price. You should get...

$35,000 + $1,120 = $36,120

$35,000 + $945 = $35,945

- This is our final answer, as the pricing increased due to inflation.

Note: Inflation means their is an increase in price.

Let me know if a further explanation is needed.

Answer:

8t^2-2t+13 is the answer i believe

Answer:

Take the angle above 128° as x.

x = 180 - 128 (linear pair)

x = 52°

a = ?

a = 180 - ( 52 + 73 ) ( the angles in a triangle add up to 180° )

a = 180 - 125

a = 55°