uld observe for the entire population represented by the volunteers if all members of this population tasted, respectively, the yogurt with and without the added calcium. If we had used the more accurate software approximation for the degrees of freedom, how would the 90% confidence interval compare to the one constructed with the more conservative value for degrees of freedom

Answer:

m<H = 62°

Step-by-step explanation:

If FG is congruent to HF, it means their opposite angles are also congruent to each other. This implies that, <H = <G. Thus, ∆FGH is an isosceles triangle with base angles <F and <G.

Given that m<F = 56°, therefore:

56° + 2(m<H) = 180° (sum of triangle)

2(m<H) = 180° - 56°

2(m<H) = 124°

m<H = 124/2

m<H = 62°

The graphs intersect at the points (3, 13) and (-2, -7).

Given the following equations:

y₁ = x² + 3x - 5  (quadratic equation)

y₂ = 4x + 1 (linear equation)

To find the intersection point(s) of  the two graphs, we need to solve their equations simultaneously. By so doing, we'll set the equations equal to each other:

y₁ = y₂

x² + 3x - 5 = 4x + 1

collect the like terms

x² - x - 6 = 0

Now we'll factor the quadratic expression:

(x - 3)(x + 2) = 0

x - 3 = 0 or x + 2 = 0

x = 3 or x = -2

Now we have the points of intersection on the x-axis.

To get the corresponding  values on the y-axis, we'll plug each value of x into either of the original equations.

Let's use the first equation:

y₁ = x² + 3x - 5

When x = 3:

y₁ = 3² + 3(3) - 5 = 13

When x = -2:

y₂ = 4x + 1 = 4(-2) + 1 = -7

So the first intersection point is (3, 13) and the second intersection point is (-2, -7).

Therefore, the graphs intersect at the points (3, 13) and (-2, -7).

Learn more about intersection here:

https://brainly.com/question/29185601

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Answer:

87 m²

Step-by-step explanation:

The picnic area is the white inner rectangle, while the courtyard is the outer pink rectangle.

The area of the courtyard available for use = area of the pink rectangle - area of the white rectangle

✔️Area of the courtyard (pink rectangle) = L*W

L = 13 m

W = 7 m

Area of pink rectangle = 13*7 = 91 m²

✔️Area of the picnic (white rectangle) = L*W

L = 4 m

W = 1 m

Area = 4*1 = 4 m²

✅Area available in the courtyard for use = 91 m² - 4 m² = 87 m²

Answer:

안녕하세요

Step-by-step explanation:

Answer:

The answer is B. 9a2-30a+25

Step-by-step explanation:

First of all, the second sign is going to be +, so you can toss out C and D without checking.

Then you take the square root of the two ends, multiply them, multiply by two and see if it matches.

sqrt(49) * sqrt(16) = 7 * 4 = 28

28 * 2 = 56

56 <> 28

So toss A.

sqrt(9) * sqrt(25) = 3 * 5 = 15

15 * 2 = 30

So the answer is B

(3a - 5)^2 = 9a^2 - 30a + 25

By the way, use ^ to indicate an exponent.

Answer:

[tex]x = 8[/tex]

Step-by-step explanation:

Set up the proportion

[tex] \frac{3}{6} = \frac{7}{6 + x} [/tex]

[tex]18 + 3x = 42[/tex]

[tex]3x = 24[/tex]

[tex]x = 8[/tex]

Answer:

B and C

Step-by-step explanation:

because AC is shorter than DF

because AB is different to DE

Answer:

1/6 + 1/2 = 2/3

Step-by-step explanation:

Answer:

4,317.85

Step-by-step explanation:

Answer:

$1600

Step-by-step explanation:

8 = 0.08%   Turn the percent to a decimal

2000 / 0.08 = 160    Divide it by 2000

160 * 10 = 1600    Mutiply by 10

Have a good day    

Answer:

Step-by-step explanation:

1.8E11 is the correct answer

Answer:

200000*900000= 180000000000

Step-by-step explanation:

:))

Answer:

See explanations below

Step-by-step explanation:

Using the coordinate points in the table (0, 4) and (2, 9)

Slope m = y2-y1/x2-x1

m = 9-4/2-0

m = 5/2

slope = 5/2

Get the y-intercept

Substitute m = 5/2 and (0,4) into y = mx+c

4 = 5/2(0) + c

4 = 0+c

c = 4

y-intercept is 4

Get the equation

Recall that y = mx+c

y = 5/2x + 4

Using another 2 points (2,9) and (4, 14)

Slope = 14-9/4-2

Slope = 5/2

Since the slope is the same for the coordinates, hence the the equation is correct

Answer:

4,3

Step-by-step explanation:

Answer:

Around 82%

Step-by-step explanation:

95/115

Answer:

Step-by-step explanation:

Business projects are intended to achieve defined business objectives and are aligned with a company's business strategy. ... It's important to note that all projects, regardless of type, must meet certain criteria to be considered projects. The primary two requirements are that they are both temporary and unique

Project management is the process of leading the work of a team to achieve goals and meet success criteria at a specified time. The primary challenge of project management is to achieve all of the project goals within the given constraints

How do you define a project?

According to the PMBOK (Project Management Body of Knowledge) 3rd edition, A project is defined as a “temporary endeavor with a beginning and an end and it must be used to create a unique product, service or result”. Further, it is progressively elaborated.

What is a project in business?

A project is a temporary piece of work which falls outside 'business as usual' day-to-day operations and can be anything from moving offices or building a website to carrying out major construction work or complex statistical analysis. Some businesses are entirely project-based

Answer:

no solution

Step-by-step explanation:

The given equation is :

2 - 3(x+ 4) = 3(3 - x)

We need to solve the equation. It can be done as follows :

2-3x-12 = 9-3x

As -3x gets canceled from both sides. It means the given equation has no solution.

Answer:

B

Step-by-step explanation:

x% of 6 = 5.25

[tex]\frac{x}{100}[/tex] x 6 = 5.25

[tex]\frac{(5.25)(100)}{6}[/tex] = x

x = 87.5 %

discount = 100 - 87.5 %

= 12.5 %

Answer:

The answer is y-x

Step-by-step explanation:

Applying the rule that    |y| = y when y>0, we can plug in the values of y-x instead of y.

So, |y-x| = y-x if y>0

Answer:

yes

Step-by-step explanation:

a Trapezoid has 1 pair of parallel sides

Answer:

84

Step-by-step explanation:

To calculate how much 140% of 60 does we need to multiply 60 with 140 then divide it by 100

60 x 140 ÷ 100 = 84

Answer:

He first rapped as a duo named Dj Jazzy Jeff and the fresh prince in 1988, with the hit songs Summertime and Parents just don't understand

He then started his career as an actor with the hit sitcom The fresh prince of Bel-air in 1990

He then later gained more popularity in 1997 with hit songs like Gettin jiggy and Miami

He became a well-known actor for movies like Bad boys, Men in black, and the Aladin remake in 2019

Step-by-step explanation:

Hope this helps and don't forget to follow!

Pls pick me as Brainliest!

Answer:

see explanation

Explanation:

the graph of g(x) is the graph of f(x) shifted vertically by

+ 6 units

or equivalent to a translation  

(

0

6

)

in general  

g

(

x

)

=

x

2

±

a

for  

a

>

0

shift is  

(

0

a

)

↑

⏐

⏐

⏐

⏐

for  

a

<

0

shift is  

(

0

−

a

)

⏐

⏐

⏐

⏐

↓

graph{(y-x^2)(y-x^2-6)=0 [-20, 20, -10, 10]}

Step-by-step explanation:

Answer:

3:8

30/80

18 to 48

Step-by-step explanation:

3:8 (6 and 16 divided by 2)

30/80 (6 and 16 times 5)

18 to 48 (6 and 16 times 3)

Answer:

B) 44

Step-by-step explanation:

x + 54 + 82 = 180

x + 136 = 180

x = 180 - 136

x = 44

Answer:

Step-by-step explanation:

You have to use the arithmetic sequence

f(n)=f(n-1)+d

You can plug in (40,10) and (50,20)

(10)=f(1)+39d

(20)=f(1)+19d

subtract

-10=20d divide

d=-1/2

plug into one of the equations above

(10)=f(1)+39(-1/2)

10=f(1)-39/2

59/2=f(1)

f(1)=29.5

plug into formula

f(n)=29.5-1/2(n-1)

f(n)= -1/2n +30 final equation (Plug in the table values into "n") to solve

Answer:

if it was like that wouldnt it go from 10 to 20 to 30 to 40 ect.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given ,

Radius of the cylinder = 5 cm

Height of the cylinder = 5 cm

Therefore,

Total surface area of the cylinder

[tex] = 2\pi r(r + h)[/tex]

[tex] = 2\pi \times 5(5 + 5) {cm}^{2} [/tex]

[tex] = 10\pi \times 10 {cm}^{2} [/tex]

[tex] = 100\pi {cm}^{2} [/tex]

Hence,

The required value to put in the green box is 100(Ans)

Answer:

Step-by-step explanation:

x = 2

step-by-step explanation:

if sr parallel to ba then the sides bc and ac are in proportion, that is

\frac{sb}{cs} = \frac{ra}{cr} ← substitute values

\frac{4x+1}{2x} = \frac{13.5}{6} ( cross- multiply )

27x = 6(4x + 1)

27x = 24x + 6 ( subtract 24x from both sides )

3x = 6 ( divide both sides by 3 )

x = 2

Answer:

x = 2

Step-by-step explanation: