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2 years ago

Dillon divided a 3 ⅓ pound bag of pears among his 5 friends. How many pounds of pears did each friend receive?

Mathematics

1 answer:

Salsk061 [2.6K]2 years ago

8 0

Answer:

2/3 pound bag

Step-by-step explanation:

( 3 1/3 = 10/3 )

10/3 * 1/5

=2/3

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How to do -4x+5y+6z?

Gala2k [10]

Answer:

There are no like terms to therefore the answer is -4x+5y+6z

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3 years ago

A cafe offers senior citizens a 15% discount off its regular price of $8.95 for the dinner buffet.

jonny [76]

a) 75 percent of the regular price is the price for senior citizens.

b) $6.712 is the price for senior citizens.

<u>Step-by-step explanation</u>:

The regular price is the 100% = $8.95
The offer price for senior citizen = 15% discount from 100%

∴ Percent of the regular price for senior citizens = 100% - 15% = 75%

The price for the senior citizens = 75% of $8.95

⇒ (75/100) $\times$ 8.95

⇒ 0.75 $\times$ 8.95

⇒ 6.712 dollars.

∴ The price for senior citizens = $6.712

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3 years ago

Write an expression to represent the length of a string in yards in terms of the string's length, x, in inches

Sergio039 [100]

Answer:

$y = \frac{x}{36}$

Step-by-step explanation:

Given

Length of string = x inches

Required

Determine the length in yards

Represent the equivalent length with y

Such that

$y = x\ inches$

Divide x by 36 to get equivalent in yards

$y = \frac{1}{36} * x$

$y = \frac{x}{36}$

Hence, the equivalent in yards is $\frac{x}{36}$

3 0

3 years ago

Describe the domain and range of f(x)= -square root of x+1

Natalka [10]

$f(x)=-\sqrt{x+1}\\\\The\ domain:\\\\x+1\geq0\to x\geq-1\\\\\boxed{x\geq-1\to D:x\in[-1;\ \infty)}\\\\The\ range:\\\\\boxed{y\leq0\to y\in(-\infty;\ 0]}$

3 0

3 years ago

Each of a group of 20 intermediate tennis players is given two rackets, one having nylon strings and the other synthetic gut str

sergeinik [125]

Answer:

Find answers below

Step-by-step explanation:

H0: P <= 0.5

Ha: P > 0.5

, the number who prefer gut strings is <= a number or the test tends towards the left-tailed.

{0,1,2,3,4,5} ;

{15,16,17,18,19,20} is a right-tailed test and not appropriate for H0:

{ 0,1,2,3,17,18,19,20} is two-tailed and not appropriate for H0:

Does the region specify a level .05 test? No

P = proportion who prefer gut strings to nylon

P = X /20

Assume alpha = 0.05

z(alpha) = -1.645

Reject if (x/20 - 0.5) / sqrt[ (0.5)(0.5)/20 ] < -1.645

Reject if (x/20 - 0.5) < < (-1.645) sqrt ( (0.5)(0.5)/20 )

Reject if x/20 < (-1.645) sqrt ( (0.5)(0.5)/20 ) + 0.5

Reject if x/20 < 0.316

Reject if x < (0.316)(20) = 6.32

{0,1,2,3,4,5,6} is the region for the best level 0.05 test

According to (a), reject H0 if x <= 5

P( Type II error) = P( do not reject H0/ when Ha is true)

P( Type II error) = P( x > 5/ P=0.6)

x ---p(x)

6 0.004854 0.998388

7 0.014563

8 0.035497

9 0.070995

10 0.117142

11 0.159738

12 0.179706

13 0.165882

14 0.124412

15 0.074647

16 0.034991

17 0.012350

18 0.003087

19 0.000487

20 0.000037

add: 0.9984 -- proba bility of a type II error

Assuming P=0.8

P( Type II error) = P( x > 5/ P=0.8)

6 0.000002 1.000000

7 0.000013

8 0.000087

9 0.000462

10 0.002031

11 0.007387

12 0.022161

13 0.054550

14 0.109100

15 0.174560

16 0.218199

17 0.205364

18 0.136909

19 0.057646

20 0.011529

add: 1.0000 probability of a type II error

P( x <= 13) =

0 0.000001

1 0.000019

2 0.000181

3 0.001087

4 0.004621

5 0.014786

6 0.036964

7 0.073929

8 0.120134

9 0.160179

10 0.176197

11 0.160179

12 0.120134

13 0.073929

add: 0.9423 < 0.10 , H0 cannot be rejected

5 0

3 years ago