In a survey, 13 people were asked how much they spent on their child's last birthday gift. The results were roughly bell-shaped with a mean of $50 and standard deviation of $14. Construct a confidence interval at a 98% confidence level.

Answer:

Step-by-step explanation:

A square has an area of base times height which is identical to base.

If x is the length of a side, A = x•x = x²

x² = 25

x = √25

x = 5 yards

Answer:

1000%

Step-by-step explanation:

just multiply both

brainliest pls

Answer:

10

Step-by-step explanation:

 20 x 50

    100  

how many pounds does he feed his dogs for each meal?

Answer:

Step-by-step explanation:

the answer is 10

Answer:

B. 0

Step-by-step explanation:

ax² + bx + 1 = 0

discriminant = b² - 4ac

4x² - 20x + 25

a = 4

b = -20

c = 25

b² - 4ac = (-20)² - 4(4)(25) = 400 - 400 = 0

Answer: B. 0

Here is ur perfect answer

Answer:

50.24 cm

Step-by-step explanation:

50.24 cm

2

Explanation:

Using the formula,

Area

=

π

×

r

2

Here

π

is a button on your calculator you can find, but is also generally known as  

3.14

, you can use either one, but teachers usually prefer you use the  

π

button.

r

=

the radius, in your case, it's  

4 cm

So

Area

=

π

×

r

2

=

π

×

(

4 cm

)

2

=

16

π

cm

2

≈

50.24 cm

2

Answer:

y = 19

Step-by-step explanation:

y = 7x - 2

=> y = 7(3) - 2

=> y = 21 - 2

=> y = 19

Therefore, y = 19

Hoped this helped.

Answer:

The first term is, x2 its coefficient is 1 .

The middle term is, -17x its coefficient is -17 .

The last term, "the constant", is +60

Step-1 : Multiply the coefficient of the first term by the constant 1 • 60 = 60

Step-2 : Find two factors of 60 whose sum equals the coefficient of the middle term, which is -17 .

-60 + -1 = -61

-30 + -2 = -32

-20 + -3 = -23

-15 + -4 = -19

-12 + -5 = -17 That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -12 and -5

x2 - 12x - 5x - 60

Step-4 : Add up the first 2 terms, pulling out like factors :

x • (x-12)

Add up the last 2 terms, pulling out common factors :

5 • (x-12)

Step-5 : Add up the four terms of step 4 :

(x-5) • (x-12)

Which is the desired factorization

Equation at the end of step

1

:

(x - 5) • (x - 12) = 0

STEP

2

:

Theory - Roots of a product

2.1 A product of several terms equals zero.

When a product of two or more terms equals zero, then at least one of the terms must be zero.

We shall now solve each term = 0 separately

In other words, we are going to solve as many equations as there are terms in the product

Any solution of term = 0 solves product = 0 as well.

Solving a Single Variable Equation:

2.2 Solve : x-5 = 0

Add 5 to both sides of the equation :

x = 5

Solving a Single Variable Equation:

2.3 Solve : x-12 = 0

Add 12 to both sides of the equation :

x = 12

Supplement : Solving Quadratic Equation Directly

Solving x2-17x+60 = 0 directly

Earlier we factored this polynomial by splitting the middle term. let us now solve the equation by Completing The Square and by using the Quadratic Formula

Parabola, Finding the Vertex:

3.1 Find the Vertex of y = x2-17x+60

For any parabola,Ax2+Bx+C,the x -coordinate of the vertex is given by -B/(2A) . In our case the x coordinate is 8.5000

Plugging into the parabola formula 8.5000 for x we can calculate the y -coordinate :

y = 1.0 * 8.50 * 8.50 - 17.0 * 8.50 + 60.0

or y = -12.250

Parabola, Graphing Vertex and X-Intercepts :

Root plot for : y = x2-17x+60

Axis of Symmetry (dashed) {x}={ 8.50}

Vertex at {x,y} = { 8.50,-12.25}

x -Intercepts (Roots) :

Root 1 at {x,y} = { 5.00, 0.00}

Root 2 at {x,y} = {12.00, 0.00}

Solve Quadratic Equation by Completing The Square

3.2 Solving x2-17x+60 = 0 by Completing The Square .

Subtract 60 from both side of the equation :

x2-17x = -60

Now the clever bit: Take the coefficient of x , which is 17 , divide by two, giving 17/2 , and finally square it giving 289/4

Add 289/4 to both sides of the equation :

On the right hand side we have :

-60 + 289/4 or, (-60/1)+(289/4)

The common denominator of the two fractions is 4 Adding (-240/4)+(289/4) gives 49/4

So adding to both sides we finally get :

x2-17x+(289/4) = 49/4

Adding 289/4 has completed the left hand side into a perfect square :

x2-17x+(289/4) =

(x-(17/2)) • (x-(17/2)) =

(x-(17/2))2

Things which are equal to the same thing are also equal to one another. Since

x2-17x+(289/4) = 49/4 and

x2-17x+(289/4) = (x-(17/2))2

then, according to the law of transitivity,

(x-(17/2))2 = 49/4

We'll refer to this Equation as Eq. #3.2.1

The Square Root Principle says that When two things are equal, their square roots are equal.

Note that the square root of

(x-(17/2))2 is

(x-(17/2))2/2 =

(x-(17/2))1 =

x-(17/2)

Now, applying the Square Root Principle to Eq. #3.2.1 we get:

x-(17/2) = √ 49/4

Add 17/2 to both sides to obtain:

x = 17/2 + √ 49/4

Since a square root has two values, one positive and the other negative

x2 - 17x + 60 = 0

has two solutions:

x = 17/2 + √ 49/4

or

x = 17/2 - √ 49/4

Note that √ 49/4 can be written as

√ 49 / √ 4 which is 7 / 2

Solve Quadratic Equation using the Quadratic Formula

3.3 Solving x2-17x+60 = 0 by the Quadratic Formula .

According to the Quadratic Formula, x , the solution for Ax2+Bx+C = 0 , where A, B and C are numbers, often called coefficients, is given by :

- B ± √ B2-4AC

x = ————————

2A

In our case, A = 1

B = -17

C = 60

Accordingly, B2 - 4AC =

289 - 240 =

49

Applying the quadratic formula :

17 ± √ 49

x = —————

2

Can √ 49 be simplified ?

Yes! The prime factorization of 49 is

7•7

To be able to remove something from under the radical, there have to be 2 instances of it (because we are taking a square i.e. second root).

√ 49 = √ 7•7 =

± 7 • √ 1 =

± 7

So now we are looking at:

x = ( 17 ± 7) / 2

Two real solutions:

x =(17+√49)/2=(17+7)/2= 12.000

or:

x =(17-√49)/2=(17-7)/2= 5.000

Two solutions were found :

x = 12

x = 5

Step-by-step explanation:

please mark my answer in brainlist

Answer:

1386

Step-by-step explanation:

V=πr²*h

V=22/7*7²*9

V=1386

Answer: 14 cm

Step-by-step explanation: A right triangle is an isosceles triangle.

Answer:

D. increase

Step-by-step explanation

Intrest and fees are used to make process, and It increases the cost. You have to pay it back in the end.

Answer:

B

Step-by-step explanation:

Normally a normal card purchase won't affect the credit but since your using your credit's to purchase I think it will decrease it, it also depends how many times you use your card, cuz banks sure do be checking. So I hope I helped!

Answer:

Yes

Step-by-step explanation:

It is a constant linear function, which is in fact a function.

Have a nice day!

   I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

Answer:

36 cm

Step-by-step explanation:

504/14=36

hmm let's do that with synthetic division, Check the picture below.

Answer:

-1.36

Step-by-step explanation:

(-4^2/0.8-3)/10×-4/5=-1.36

Answer:

29

Step-by-step explanation:

6 + 3 x 9 - 4

6 + 27 - 4

33 - 4

=29

Answer:

Answer for question 16 $24.64

Answer:

$3.36

17. 31%

18 $ 24.50

Step-by-step explanation:

28 x 0.12 = $3.36

17. 484 - 333.96 = 150.04

What percentage is 150.04 of 484

X/100 = 150.04/484 (% / 100 = is/of)

= 31%

8. 35 x 0.30 = 10.50

$35 - $10.50 = $24.50

Answer:

68 degrees

Step-by-step explanation:

Supplementary angles have sum 180°

<A=

Answer:

7/100

Step-by-step explanation:

:)

Answer:

Maybe 9 oz, if I’m wrong sorry! D:

Answer:

[tex] \because \:l_{1} \parallel \: l_{2} \\ \therefore m_{1} = m_{2} = \frac{1}{2} \\ \frac{y - 6}{x + 3} = \frac{1}{2} \\ y - 6 = \frac{1}{2}x + \frac{3}{2} \\ y = \frac{1}{2}x + \frac{3}{2} + 6\\ y = \frac{1}{2}x + \frac{15}{2}[/tex]

Answer:

[tex]y=\displaystyle\frac{1}{2}x+\displaystyle\frac{15}{2}[/tex]

Step-by-step explanation:

Hi there!

What we need to know:

1) Determine the slope (m)

[tex]y=\displaystyle\frac{1}{2} x+5[/tex]

From the given equation, we can tell that the slope is [tex]\displaystyle\frac{1}{2}[/tex]. Because parallel lines always have the same slope, the slope of the line we're solving for is therefore [tex]\displaystyle\frac{1}{2}[/tex] as well. Plug this into [tex]y=mx+b[/tex]:

[tex]y=\displaystyle\frac{1}{2}x+b[/tex]

2) Determine the y-intercept (b)

[tex]y=\displaystyle\frac{1}{2}x+b[/tex]

We're given that the line passes through the point (-3,6). Plug this into [tex]y=\displaystyle\frac{1}{2}x+b[/tex] and solve for b:

[tex]6=\displaystyle\frac{1}{2}(-3)+b\\\\6=\displaystyle\frac{-3}{2}+b\\\\b=\frac{15}{2}[/tex]

Therefore, the y-intercept is [tex]\displaystyle\frac{15}{2}[/tex]. Plug this back into [tex]y=\displaystyle\frac{1}{2}x+b[/tex]:

[tex]y=\displaystyle\frac{1}{2}x+\displaystyle\frac{15}{2}[/tex]

I hope this helps!

Answer:

Same thing here as the last question, just matching congruent angles.

1. ΔXZY ≅ ΔQRP

2. ΔQRS ≅ ΔSCD

3. ΔGHI ≅ ΔGHT

Step-by-step explanation:

hope this helps. . .<3

good luck!       UwU

Answer:

1.) ΔXZY ≅ ΔQRP

2.) ΔQRS ≅ ΔSCD

3.) ΔGHI ≅ ΔGHT

Hope this helps!

Answer:

9x² - 12x + 4

Step-by-step explanation:

(3x - 2)² = (3x - 2)(3x - 2)

Each term in the second factor is multiplied by each term in the first factor , that is

3x(3x - 2) - 2(3x - 2) ← distribute both parenthesis

= 9x² - 6x - 6x + 4 ← collect like terms

= 9x² - 12x + 4

Answer:

1- 12.20$

2- 1.30$ + 1.40y$

3- 1.3x + 1.4y

Step-by-step explanation:

input unknown values using x and y

c$449.58

hfufhfthcuxjyfus4hxtstcyztf

Answer:

9 students

Step-by-step explanation:

If 1 student runs a 3rd we need 3 students to run 1 mile.

Since we need 3 times that amount of miles we multiply the amount of students it takes to run 1 mile so that we find out how many we need to run 3 miles.

3 x 3 = 9

They will need 9 students I hope this helps have a great day :)