Which symbols could be used to make the folllowing statement true -15 -19

Answer:

p = -14

Step-by-step explanation:

5/7p - 2/7p + 12 = 6

Combine like terms

3/7 p +12 = 6

Subtract 12 from each side

3/7p + 12-12 = 6-12

3/7p = -6

Multiply each side by 7/3

7/3 * 3/7p = -6*7/3

p = -14

Answer:

p = - 14

Step-by-step explanation:

5/7p - 2/7p + 12 = 6

subtract 12 both sides

5p/ 7 - 2p/7  + 12  = 6 - 12

simplify

5p/7 - 2p/7 = -6

multiply both side by 7

5p/7 * 7    -    2p/7 * 7     =  -6 * 7

simplify

5p - 2p = -42

p = -42 / 3

p = - 14

Answer:

A)5/8

Step-by-step explanation:

Given data set:

Rewriting the data set in the same denominator to compare:

As we see the smallest value is 5/8 and the highest value is 10/8, so the difference:

So, the range of the given data set is 5/8

Correct choice is: A)5/8

Answer: 700 billion

Step-by-step explanation:

Answer:

( 2x - 1 ) ( x + 3) / ( 2x - 3 ) ( x + 1 )

Step-by-step explanation:

(x - 2) / (x + 1) - 3(1 - 4x) / ( 2x - 3 ) ( x + 1 )

{ ( x - 2 ) ( 2x - 3) - 3 ( 1- 4x) } / ( 2x - 3 ) ( x + 1 )

{ 2x^2 - 7x - 3 + 12x} / ( 2x - 3 ) ( x + 1 )

{ 2x^2 + 5x - 3 } / ( 2x - 3 ) ( x + 1 )

( 2x - 1 ) ( x + 3 ) / ( 2x - 3 ) ( x + 1 )

Answer:

a) P [ Y ≤ -12 ]  =  0,32997      or        P [ Y ≤ -12 ]  = 32,99 %

b) P [ Y > -1 ]  =  0,3707          or   P [ Y > -1 ]  =  37,07 %

c) P [ 34 ≤  Y  ≤  44]    =  0,1585      or     P [ 34 ≤  Y  ≤  44]    =  15,85 %

d) P [ Y > -4 ]  = 0,59871         or        P [ Y > -4 ]  = 59,87 %

Step-by-step explanation:

Normal Distribution:   N ( -8 ; 9 )

a) P [ Y ≤ -12 ]  = ( - 12  - (-8))/9

P [ Y ≤ -12 ]  =  - 4/9  = - 0,44

From  z-table for the z score -0,44 we get:

P [ Y ≤ -12 ]  =  0,32997      or        P [ Y ≤ -12 ]  = 32,99 %

b)  Normal Distribution:   N ( - 4 ; 9 )

P [ Y > -1 ]  =  1  - P [ Y ≤ -1 ]

P [ Y ≤ -1 ]  =  ( - 1 - ( - 4 ) ) / 9

P [ Y ≤ -1 ]  =  3 / 9  =  0,3333

From  z-table for the z score 0,33 we get:

P [ Y ≤ -1 ]  = 0,6293

P [ Y > -1 ]  =  1  - P [ Y ≤ -1 ]  =  1 - 0,6293

P [ Y > -1 ]  =  0,3707          or   P [ Y > -1 ]  =  37,07 %

c)  Normal Distribution:   N ( 40  ;  25  )

P [ 34 ≤  Y  ≤  44]

P [ 34 ≤  Y  ≤  44]    = P [  Y  ≤  44]  -  P [ Y ≤ 34 ]

 P [  Y  ≤  44]  = ( 44 - 40 ) / 25   = 0,16

From  z-table for the z score 0,16 we get:

P [  Y  ≤  44]  = 0,5636

P [ Y ≤ 34 ]  = ( 34  - 40 ) / 25   =  - 6 / 25   = -  0,24

From  z-table for the z score -0,24 we get:

P [ Y ≤ 34 ]  = 0,40517

Then

P [ 34 ≤  Y  ≤  44]    = P [  Y  ≤  44]  -  P [ Y ≤ 34 ]

P [ 34 ≤  Y  ≤  44]    =   0,5636 -  0,40517

P [ 34 ≤  Y  ≤  44]    =  0,1585      or     P [ 34 ≤  Y  ≤  44]    =  15,85 %

d)  Normal Distribution:   N ( -3  ;  4  )

P [ Y > -4 ]  =  1  -  P [ Y ≤ -4 ]

P [ Y ≤ -4 ]  =  ( - 4 - ( -3))/4  =  - 1/4  = - 0,25

From  z-table for the z score -0,25 we get:

P [ Y ≤ -4 ]  = 0,40129

P [ Y > -4 ]  =  1  -  0,40129

P [ Y > -4 ]  = 0,59871         or        P [ Y > -4 ]  = 59,87 %

Answer:

This is the answer

2/9=0.222222222.

Answer:

.2222 ( repeating)

Step-by-step explanation:

Answer:

b. 3/1    c. -1/3

Step-by-step explanation:

When a line is parallel to another they don't intersect and instead go in the same direction. Therefore they have the same slope

b. 3/1

When a line is perpendicular it has to be the negative reciprocal. This means that it you have to flip the numbers in the fraction and make it negative (unless it is already negative, then it becomes positive)

c. -1/3

the answer to your question is x= -2

Answer:

Step-by-step explanation:

No; it is rational.  25/9 is the ratio of two integers.

Explanation:

We have a fraction of two integers, so 25/9 is rational. A rational number is any fraction of two integers (as long as the denominator is not zero).

Something that is irrational would be pi = 3.14159... where we cannot write it as a fraction of two integers. We can get approximations such as 22/7, but we cannot land exactly on pi with a fraction like this. Another irrational value is sqrt(2).

Something like sqrt(25) is rational though because sqrt(25) = 5 = 5/1.

Answer:

3

Step-by-step explanation:

16+5f=31

5f=31-16

5f=15

f=3

CHECK:

16+5(3)=31

16+15=31

31=31

since e=-14 in the first equation, the last one is

-14-3=-17, which is correct

Answer:

to much numbers

Step-by-step explanation:

Answer:

the number of weeks the bird feeders are filled

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Just took the review

Answer:

1012

Step-by-step explanation:

The ratio of student / applicant is 6 /11

So for 552 students, the applicants number is:

Number of applicants is 1012

Answer:

3.5 buckets per cow

Step-by-step explanation:

Given

[tex]Buckets = 7\ equal\ sized[/tex]

Required

Determine the rate per bucket per each cow

From the question, we understand that both cows produced same quantity of milk;

And since, they're are two cows

Milk produced by each cow is calculated by dividing number of buckets by 2; as follows;

[tex]Each\ cow = \frac{7}{2}\ buckets[/tex]

[tex]Each\ cow = 3.5\ buckets[/tex]

Hence, the rate is 3.5 buckets per cow

Answer:

$48.76

Step-by-step explanation:

So, Sara bought the pair of shoes for $46 due to a discount.

Sales tax was 6% or 0.06. In other words, she had to pay 0.06(46)=2.76 for tax.

Thus, the total amount Sara paid for the shoes is $46+$2.76=$48.76

Answer:

27, it is divisible by 1, 3, 9, and 27

Step-by-step explanation:

Answer:

h=3

Step-by-step explanation:

-9h= - 27

Divide each side by -9

-9h/-9= - 27/-9

h = 3

Answer:

h = 3

Step-by-step explanation:

Step 1: Divide both sides by -9

[tex]\frac{-9h}{-9} =\frac{-27}{-9} \\h=3[/tex]

Therefore the h = 3

Answer:

5w+11n

:D

Hope this helped!

My regards

Answer:

C 1 to 11

Step-by-step explanation:

When rolling 2 dice, there are 36 possible outcomes.

The outcomes that have a sum of 10 are:

4, 6

5, 5

6, 4

There are 3 outcomes of 10 and 33 outcomes of not 10.

Odds of outcome of 10:

3:33 = 1:11

1 to 11 is the odds in favor of rolling the sum of 10 when rolling a pair of dice option (C) is correct.

It is defined as the ratio of the number of favorable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.

It is given that:

A standard dice is rolled:

The total number of outcomes(two dice are rollling) = 6x6 = 36

The outcomes that have a sum of 10 = ({4, 6}, (5, 5), (6, 4)}

The total number of outcomes = 3

Total outcomes(after removing 3 outcomes that have a sum of 10)

= 36 - 3 = 33

Odds of outcomes = 3

The odds in favor = 3/33 = 1/11 or 1 to 11

Thus, 1 to 11 is the odds in favor of rolling the sum of 10 when rolling a pair of dice option (C) is correct.

Learn more about the probability here:

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Answer:

5/3 cup(s)

Step-by-step explanation:

Meghan needs 5/3 cups of strawberries to make 2 fruit salads and 2 fruit smoothies.

Ratio basically compares quantities, that means it shows the value of one quantity with respect to the other quantity.

If a and b are two values, their ratio will be a:b,

Given that,

Need of cup of strawberries for making  one fruit salad recipe = 1/6,

And need of cup of strawberries for making one fruit smoothie recipe = 2/3.

To make 2 fruit salads,

Need of cup of strawberries = 2 x 1/6 = 1 / 3

To make 2 fruit smoothies,

Need of cup of strawberries = 2 x 2/3 = 4/3

Total number of cups of strawberries = 1/3 + 4/3 = 5/3

Meghan needs 5/3 cups of strawberries.

To learn more about Ratio on :

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Answer:

the answer would be G.12

Step-by-step explanation:

Complete Question

A scientist believes the concentration of radon gas in the air is greater that the established safe level of 4 pci or less. The scientist tests the composition for 36 days finding an average concentration of 4.4 pci with a sample standard deviation of 1 pci.

a) In testing the scientist's belief, write the appropriate hypotheses:

           [tex]H_o:[/tex]                   Ha:

b) What decision should be made?

Answer:

a

The null hypothesis is  [tex]H_o : \mu \le 4 \ pci[/tex]

The  alternative  hypothesis is [tex]H_a : \mu > 4 \ pci[/tex]

b

There is sufficient evidence to conclude that the concentration of radon gas in the air is greater that the established safe level of 4pci or less

Step-by-step explanation:

From the question we are told that

   The population mean is  [tex]\mu = 4 \ pci[/tex]

    The sample size [tex]n = 36 \ days[/tex]

     The  sample  mean is  [tex]\= x = 4.4 \ pci[/tex]

     The  standard deviation is  [tex]\sigma = 1 \ pci[/tex]

       The  level  of significance is  [tex]\alpha = 0.05[/tex]

The null hypothesis is  [tex]H_o : \mu = 4 \ pci[/tex]

The  alternative  hypothesis is [tex]H_a : \mu > 4 \ pci[/tex]

  Generally the test statistics is mathematically represented as

          [tex]t = \frac{ \= x - \mu }{ \frac{ \sigma}{ \sqrt{n} } }[/tex]

=>      [tex]t = \frac{ 4.4 - 4 }{ \frac{ 1}{ \sqrt{36} } }[/tex]

=>      [tex]t = \frac{ 4.4 - 4 }{ \frac{ 1}{ \sqrt{36} } }[/tex]

=>      [tex]t =2.4[/tex]

The  p-value  is mathematically represented as

      [tex]p-value = P(Z > 2.4 )[/tex]

From the  z-table  

          [tex]P(Z > 2.4 ) = 0.008[/tex]

    [tex]p-value =0.008[/tex]

So from this obtained value  we see that

     [tex]p-value < \alpha[/tex] so we reject the null hypothesis

Hence we can conclude that there is sufficient evidence to conclude that the concentration of radon gas in the air is greater that the established safe level of 4pci or less

Answer:

y = x

Step-by-step explanation:

The inverse of f(x) = x is just y = x.

Answer:

The calculated value Z=1.2413 < 1.96 at 0.05 level of significance

Null hypothesis is accepted

An instructor in the English department at CBC believes rates at CBC may be equal to the state average

Step-by-step explanation:

Step(i):-

Given Population proportion

                                    P=68%= 0.68

Sample proportion

                            [tex]p^{-} =\frac{x}{n} = \frac{179}{250} = 0.716[/tex]

Null hypothesis : H₀ : p = 0.68

Alternative Hypothesis :H₁ : p > 0.68

Step(ii):-

Test statistic

                         [tex]Z = \frac{p^{-}-P }{\sqrt{\frac{P Q}{n} } }[/tex]

                        [tex]Z = \frac{0.716-0.68 }{\sqrt{\frac{0.68 X 0.32}{250} } }[/tex]

                       Z = 1.2413

Level of significance

             [tex]Z_{0.05} = 1.96[/tex]

The calculated value Z=1.2413 < 1.96 at 0.05 level of significance

Null hypothesis is accepted

An instructor in the English department at CBC believes rates at CBC may be equal to the state average

Hello, let's  note a the positive real number.

A positive real number is 4 less than another.

So, the other number is a - 4

When 8 times the larger is added to the square of the smaller, the result is 96.

So, we need to solve the following equation.

[tex]8a+(a-4)^2=96[/tex]

Let's do it!

[tex]8a+(a-4)^2=96\\\\8a+a^2-8a+16=96\\\\a^2=96-16=80=4^2*5\\\\a=\pm4\sqrt{5}[/tex]

As a is positive, there is only one solution which is.

[tex]\Large \boxed{\sf \bf \ \ a=4\sqrt{5} \ \ }[/tex]

Thank you.

The amount given by the sum of numbers can be presented in an equation

form from which the value of each number can be obtained.

The large number is 4·√5, the smaller number is 4·(√5 - 1)

Reason:

Let x represent the large number, we have;

The smaller number = x - 4

8 × x + (x - 4)² = 96

8·x + (x - 4)² = 96

Required:

The values of the numbers

Solution:

8·x + (x - 4)² = 8·x + x² - 8·x + 16 = 96

8·x - 8·x + x² + 16 = 96

x² + 16 = 96

x² = 96 - 16 = 80

x = ±√(80) = ±4·√5

Given that the numbers are positive, we have;

The large number, x = 4·√5

The smaller number = x - 4 = 4·√5 - 4

The smaller number = 4·√5 - 4 = 4·(√5 - 1)

Learn more here:

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Answer:

x and y is 115 exterior angle property

Answer:

[tex]\boxed{x = 65, y=50}[/tex]

Step-by-step explanation:

→ We know that angles on a straight line add up to 180° so we can use that to work out angle x

x + 115° = 180°

⇒ Minus 115° from both sides to isolate x

x = 65°

→ We can see that there are 2 angles labelled x so we can use that to find the value of y

65° × 2 = 130°

→ We utilise the angle fact that angles in a triangle add up to 180°

130° + y = 180°

⇒ Minus 130° from both sides to isolate y

y = 50°

Answer:

56

Step-by-step explanation:

Keep the order of opperations in mind when doing this (PEMDAS). First, solve what is inside the parentheses (6-1). Then, solve the exponent and the multiplication (6² and 5×5). Finally, finish adding and subtracting to get the answer.

Answer:

56

Step-by-step explanation:

Hello!

We have to follow the order of PEMDAS

Parenthesis, Exponents, Multiplication and Division, Addition and Subtraction

5 x 5 - (6 - 1) + [tex]6^{2}[/tex]

Parenthesis First

[tex]5 x 5 - (5) + 6^2[/tex]

Exponents next

[tex]5x5 - (5) + 36[/tex]

Multiplication and Divsion from left to right

25 - (5) + 36

Addition and Subtraction from left to right

20 + 36

56

The answer is 56

Hope this Helps!

Answer:

He will eat 0.233 of one slice

Step-by-step explanation:

If Landon eats only two slices of pizza from a 12 inch pizza cut into 6

It means each slice has 2 inch pizza and Landon eats 2 of these

So Landon eats 2*2 = 4 inch pizza

So a rectangular pizza of 10 by 15

= 10*15

= 150 inch pizza

Cut into 8 slices

= 150/8

.= 18.75 inch per slice

4/18.75 = 0.233

He will eat 0.233 of one slice

Answer:

10,800 feet

Step-by-step explanation:

1000 * 10.8 because there are 1000 cars each 10.8 feet long