In a random sample of 520 adults, the mean was 150 and the standard deviation was 4. 5. The study was reported with a 95% confidence level, and the confidence interval for the study was 150 ± 0. 39. What range of values shows the confidence interval for the study? 146. 1 to 153. 9 149. 61 to 150. 39 150 to 150. 39 150 to 153. 9.

Answer:

6ft: 25.667ft   /   7ft: 22ft

Step-by-step explanation:

Since the question shows 7ft but the diagram shows 6ft I will show how to do both

FOR 6FT

Justin's height remained the same at 5'6" (or 5.5ft) and the distance between him and the mirror was 6ft

Now if we assume the triangles are congruent to each other, then set sides A and C equal to each other and solve for x

6/28 = 5.5/x

6x = 154

x = 25.667ft

FOR 7FT

Same process as before, replace 6 with 7

7/28 = 5.5/x

7x = 154

x = 22ft

Answer:

c. is correct

Step-by-step explanation:

hipe its attachments

Answer:

$4.06

Step-by-step explanation:

Answer:

x=-37/3

y=-22/3

Step-by-step explanation:

-2x+2y=10 (1)

2x-5y=12 (2)

(1)+(2) <=> -3y=22

Answer:

Elimination method is good enough

yes it does belong on pizza

Answer:

y = (5x+7)(2x+3)

= 10x^2 +14x+15x+21

= 10x^2 +29x+21

a= 10 b=29 c=21

Answer:

I believe it is (0,0)

Step-by-step explanation:

the midpoint can be found by adding the x values together and dividing by 2 for your midpoint x , and doing the same with the ys for the y value

for the x:

(1+-1)=0

0/2=0

and for the y:

(2+-2)=0

0/2=0

making it (0,0)

Answer:

1. D (9/12)

2. B (1/4)

3. C (2^4x3x5)

Step-by-step explanation:

Hope this helps

Answer:

1) D 9/12

2) B 1/4

3) C 2^4 * 3 * 5

Step-by-step explanation:

1)

1/2 = 6/12

5/6 = 10/12

6/12 < 9/12 < 10/12, this is true.

2)

Although the visual representation doesn't give us exactly what the portion of each slice is, we can determine that the pizza is split into four equal slices. One of the slices is cut down even further, however, that doesn't change the fact that each of the other three pizza slices is 1/4. So the greatest pizza slice is equivalent to 1/4 of the pizza.

3)

Factor out 240:

240 = 120 x 2

120 = 60 x 2

60 = 30 x 2

30 = 15 x 2

15 = 5 x 3

2 x 2 x 2 x 2 x 3 x 5

Multiple the 2's together to get the following equation:

[tex]2^{4} * 3 * 5[/tex]

ok I don't see the thing you need help with

What do you need help with?

Answer:

AC is perpendicular to BD.

Further explanation

We observe that both the ABC triangle and the ADC triangle have the same AC side length. Therefore we know that  is reflexive.

The length of the base of the triangle is the same, i.e., .

In order to prove the triangles congruent using the SAS congruence postulate, we need the other information, namely . Thus we get ∠ACB = ∠ACD = 90°.

Conclusions for the SAS Congruent Postulate from this problem:

∠ACB = ∠ACD

- - - - - - - - - -

The following is not other or additional information along with the reasons.

∠CBA = ∠CDA no, because that is AAS with ∠ACB = ∠ACD and  

∠BAC = ∠DAC no, because that is ASA with  and ∠ACB = ∠ACD.

no, because already marked.

- - - - - - - - - -

Notes

The SAS (Side-Angle-Side) postulate for the congruent triangles: two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle; the included angle properly represents the angle formed by two sides.

The ASA (Angle-Side-Angle) postulate for the congruent triangles: two angles and the included side of one triangle are congruent to two angles and the included side of another triangle; the included side properly represents the side between the vertices of the two angles.  

The SSS (Side-Side-Side) postulate for the congruent triangles: all three sides in one triangle are congruent to the corresponding sides within the other.

The AAS (Angle-Angle-Side) postulate for the congruent triangles: two pairs of corresponding angles and a pair of opposite sides are equal in both triangles.  

Learn more

Which shows two triangles that are congruent by ASA?  brainly.com/question/8876876  

Step-by-step explanation:

Answer: 10.17898 so

About 10.2

Answer: 10.6

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Given y is directly proportional to x then the equation relating them is

y = kx ← k is the constant of proportion

To find k use the condition y = 12 when x = 15

12 = 15k ( divide both sides by 15 )

0.8 = k

y = 0.8x ← equation of proportion

When y = 40 , then

40 = 0.8x ( divide both sides by 0.8 )

50 = x → D

Answer:

y - 5 = 4(x + 4)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Coordinate Planes

Point-Slope Form: y - y₁ = m(x - x₁)

Step-by-step explanation:

Step 1: Define

Identify variables.

Point (-4, 5)

Slope m = 4

Step 2: Find Equation

Answer:

137 i am sorry if incorrect

Step-by-step explanation:

Answer:

to what?

Step-by-step explanation:

there's nothing

Answer:

(4,3)

Step-by-step explanation: go right because it is positive to 4 and up because it is positive to 3

Answer:

i think the answer to your question

1) 570

2)567.49

Answer:

15, - 7, 8, - 24

Step-by-step explanation:

1

f(4) = [tex]\frac{1}{2}[/tex] × 4 + 13 = 2 + 13 = 15

2

f(5) = [tex]\frac{3}{5}[/tex] × 5 - 10 = 3 - 10 = - 7

3

f(- 1) = (- 1)² + 7 = 1 + 7 = 8

4

f(2) = 3(2)³ - 12(2)² = 3(8) - 12(4) = 24 - 48 = - 24

Answer:

6.50x + 3.99

Step-by-step explanation:

Every order of sweat shirts is charged $3.99

Each individual sweatshirt costs $6.50 therefore x being the number purchased times $6.50 is the cost of the sweatshirts that plus the 3.99 is your total cost.

Answer:

48% of selecting a male 52%of selecting a female

Step-by-step explanation:

Answer:

A (0, - 2 ) or A (0, 6 )

Step-by-step explanation:

Using the distance formula

d = [tex]\sqrt{(y_{2}-y_{1})^2+(x_{2}-x_{1})^2 }[/tex]

with (x₁, y₁ ) = B(3, 2) and (x₂, y₂ ) = A(0, y )

AB = [tex]\sqrt{(0-3)^2+(y-2)^2}[/tex]

     = [tex]\sqrt{(-3)^2+(y-2)^2}[/tex]

     = [tex]\sqrt{9+(y-2)^2}[/tex]

Given AB = 5 then equating gives

[tex]\sqrt{9+(y-2)^2}[/tex] = 5 ( square both sides )

9 + (y - 2)² = 25 ( subtract 9 from both sides )

(y - 2)² = 16 ( take square root of both sides )

y - 2 = ± [tex]\sqrt{16}[/tex] = ± 4 ( add 2 to both sides )

y = 2 ± 4

Then y = 2 - 4 = - 2 or y = 2 + 4 = 6

Possible coordinates of point A are

A (0, - 2 ) or A (0, 6 )

Answer:

YZ=15

Step-by-step explanation:

All sides of a rhombus are equal so it would be the same length.

Answer:

12 children

Step-by-step explanation:

For this problem we can look for the GCF

The 60's factors are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, and 60

Pretty sure you get it now

Anyways once we've done all of the Factoring we can look for the GCF

Which we would get as twelve

So the supplies can be distributed amongst 12 children equally

Answer:

Step-by-step explanation:

How much does Jalisa charge per candle?

Answer:

she can cut 2/20=18 left

Step-by-step explanation:

Answer:

the anser is 10 edge 2022

Step-by-step explanation:

Hello!

Let the number be x.

We multiply it by 5:

5x

Subtract 3:

5x-3

Hope it helps. Ask me if you have any query.

~An excited gal

[tex]MagicalNature[/tex] here to  help

Answer:

n=72x9

Step-by-step explanation:

Because Marley is 9x as much, so that's 72x9.