Researchers in plant growth are investigating the proportions of seedlings that sprout under two environmental settings in a lab experiment. Let pˆC represent the sample proportion of seedlings that sprout in garden C, and let pˆH represent the sample proportion of seedlings that sprout in garden H. For random samples of 100 garden C seedlings and 100 garden H seedlings, the sampling distribution of the difference between sample proportions pˆC−pˆH has σpˆC−pˆH≈0.051. Which of the following is the best interpretation of σPˆC−PˆH≈0.051 ?

Answer:

(2/3)y

Step-by-step explanation:

Given that :

Age gap between father and daughter = y

2/3 of the difference in their ages expressed as in terms of y ;

2/ 3 * y

(2/3)y

Answer:

[tex]y = \frac{17}{7}[/tex]

Step-by-step explanation:

1) To solve this question easily, cross multiply first. Multiply the denominator of the first fraction by the numerator of the second fraction, and multiply the denominator of the second fraction by the numerator of the first fraction:

[tex]\frac{y-1}{3y+7}=\frac{1}{10}\\1(3y+7) = 10(y-1)\\3y + 7 = 10y-10[/tex]

2) Now, solve like you would and isolate y. Subtract both sides by 10y.

[tex]3y + 7 = 10y-10\\-7y + 7 = -10[/tex]

3) Then, subtract both sides by 7.

[tex]-7y + 7 = -10\\-7y = -17\\[/tex]

4) Finally, divide both sides by -7 to receive the answer.

[tex]-7y = -17\\y = \frac{-17}{-7} \\y = \frac{17}{7}[/tex]

Answer:

251,502

Step-by-step explanation:

hope it helps!

....

Answer:

501 × 502 = 251,502

...

Answer:

Expression for Perimeter:  6x + 6

x = 12 cm

Verify A = 360:

2(12) x (12+3) = 360

24 x 15 = 360

360 = 360

Step-by-step explanation:

Answer:

B -4 units in the direction of x and +1 units in the direction of y

Step-by-step explanation:

Given

[tex]A = (3, 1), (5, 2), (4, 3)[/tex]

[tex]A^{-1}= (-1, 2), (1, 3) (0, 4)[/tex]

Required

Determine the translation from A to A-1

Take (3,1) from A and (-1,2) fro A-1 as points of reference,

For translation to occur, we make use of:

[tex](3 + x,1+y) = (-1,2)[/tex]

By comparison:

[tex]3 + x = -1[/tex] and [tex]1 + y = 2[/tex]

Solve for x and y

[tex]3 + x = -1[/tex]

[tex]x = -1-3[/tex]

[tex]x = -4[/tex]

[tex]1 + y = 2[/tex]

[tex]y = 2 - 1[/tex]

[tex]y=1[/tex]

(B) is correct.

Answer:

Step-by-step explanation:

Here is an example:

[tex]3x^{2} +7=55[/tex]

-7 on both sides of the equation

[tex]3x^{2} =48[/tex]

divide by 3 on both sides

[tex]x^{2} =16[/tex]

square root the [tex]x^{2}[/tex] and 16

x=±4

Answer:

3x+13

Step-by-step explanation:

=9+(3x+4)

=9+3x+4

=3x+13

Answer:

x > -3

Step-by-step explanation:

x + 8 > 5

   -8   -8

    x > -3

I hope this helped you :)

Answer:

6.JMK=90-28

=62

STR=180-118

=62

(PROVEN)

Answer:

7. adjacent (next to each other)

8. vertical (right across from each other)

9. vertical (right across from each other)

10. neither

11. adjacent (right next to each other)

12. neither

Before I go on: all these angles have the same measure as the one across, so ∠SYX has the same measure as ∠UYV (76°), ∠XYW has the same measure as ∠TYU (40°), and ∠WYV has the same measure as ∠SYT (64°)...

13. ∠SYX = 76°

14. ∠XYW = 40°

15. ∠WYV = 64°

These last three are angles added together. They look tricky, but you just note the endpoints and add the measures of the included angles together.

16. ∠SYW = ∠SYX + ∠XYW = 76° + 40° = 106°

    ∠SYW = 106°

17. ∠TYX = ∠SYX + ∠SYT = 76° + 64° = 140°

    ∠TYX = 140°

18. ∠VYX = ∠WYV + ∠XYW = 64° + 40° = 104°

    ∠VYX  = 104°

I hope this helps you understand the concept! Have a great day!

Answers:

1. V=triangle area × length

V=1/2×8×12×20

V=960in³

2. triangle area × length

Area of the triangle=1/2×4×11

A=22ft²

V=22×6

V=132ft³

3. b, volume always have cubic power (³)

4. d, same reason of question 3

Answer:

75.36 cm

Step-by-step explanation:

Given.

radius (r) = 12 cm

Circumference (C)

= 2*π*r

= 2 * 3.14 * 12

= 75.36 cm

Hope it will help :)

Answer:

6.24 pounds

Step-by-step explanation:

12 x .52 = 6.24 pounds

Answer:

The answer would be 6.24lb

Step-by-step explanation:

I took the k12 test

[tex]\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}[/tex]

Actually Welcome to the Concept of the Factorisation.

Since here both are the roots of the quadratic equation in the factor form, hence

equate them to zero, to get the value of x

hence,

2x-9 = 0

===> x = 9/2

and

3x+5=0

===> x = -5/3

Answer: ............

Step-by-step explanation:

[tex]T(x,y)=(x+3,y-2)[/tex]

Hope this helps.

Answer: 960

Step-by-step explanation:

Answer:

possibly 4 if not I'm sorry

Answer:

Step-by-step explanation:

Answer:

$24.75

Step-by-step explanation:

4/5 of 13.75 = 11

11+13.75= 24.75

Dana  spends $24.75 in all.

An equation is a mathematical statement that equates two algebraic expression by an equal sign.

The data given in the question is

Dana spends $13.75 on a teacup for her grandmother

She spends 4/5 of that on a coffee mug for her grandfather.

The total amount  she spends is given by $x

The equation becomes

x = 13.75 + (4/5) * 13.75

x = $24.75

Therefore she spends $24.75 in all.

To know more about Equation

https://brainly.com/question/10413253

#SPJ2

Answer:

101.50

Step-by-step explanation:

Answer:

$101.50

Step-by-step explanation:

7% of 1450 = 0.07 × 1450 = 101.5

Answer:

i think its 72 if i'm wrong sorry

Step-by-step explanation:

Answer:

17 cm

Step-by-step explanation:

add the length, width of triangle

Answer: Choice B) Investment decreases by 3% each month

=====================================================

Explanation:

We won't use the value 2500 at all.

The base of the exponential is 0.97

Set this equal to 1+r and solve for r

1+r = 0.97

r = 0.97-1

r = -0.03

The negative r value indicates we have exponential decay, so the value of the investment decreases by 3% each month.

Let's say you had $100 to start off. This would mean the investment would be worth $97 after one month is up.

Answer:

Step-by-step explanation:

x + 2 = -1/2x + 2

3/2x + 2 = 2

3/2x = 0

x = 0

y = 0 + 2

y = 2

(0, 2)