121 divided by 3 987 divided by 9 675 divided by 5 432 divided by 7

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.

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Answer:

to much numbers

Step-by-step explanation:

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:

the number of weeks the bird feeders are filled

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Just took the review

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.

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Answer: D) 2

the value for the missing mean would result in no main effect for Factor A is 2

Step-by-step explanation:

Given that;

              B1             B2

A1            6               8          

B1            12               ?

To find the missing mean;

lets missing mean be x

Here mean of A1

( 6 + 8 ) / 2 = 14 / 2 = 7  

Now mean of A2

(12 + x ) / 2 = 7

x + 12 = 14\x = 14 -12 = 2

Therefore the value for the missing mean would result in no main effect for Factor A is 2

so option d) is the correct answer

Answer:

b

Step-by-step explanation:

Answer:

10,800 feet

Step-by-step explanation:

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

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

Step-by-step explanation:

ultimately you need to end up with 30% solution

with 10%, 20%, and 50%, you are forced to tamper with the various percentages to reach the desired goal.

Since it is an even 12,000 (i.e. no 12500) and you have no hard container volumes to deal with, therefore find the easiest combination to reach 30%. In this case, (10%+50%)/2 = 30%

So therefore you need 12000 cubic centimeters of liquid, half of it being 50% and half being 10%.

12000/2 = 6000 cubic centimeters each

for 50%, each container is 1,000 cubic centimeters, so 6000/1000 =6 containers  for 10% each container is 500 cubic centimeters, so 6000/500 = 12 containers

Therefore, you need 6 containers of 50% solution and 12 containers of 10% solution.

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:

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: 0

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

Explanation:

When we multiply 0 by any number, we get 0 as a result

x*0 = 0

0*x = 0

for any number x.

The number 0 is rational since we can write it as a fraction of two integers

0 = 0/1

If Daniel were to correct his statement to say "multiply by any nonzero rational number", then his statement would be correct that the result is irrational.

----------------------------------------------

Extra info:

Here's a proof showing why Daniel's claim is correct if we consider nonzero rational numbers

Let p be a nonzero rational number, so p = a/b for integers a,b where neither a or b are zero

Let q be an irrational number. We cannot write q as a ratio of two integers

The claim is that p*q is irrational. For now let's assume the opposite. So assume p*q is rational. This means p*q = r/s for integers r,s

This would be the same as (a/b)*q = r/s which solves to q = (r/s)*(b/a) = (rb)/(sa) making q rational, but that contradicts the fact we made q irrational earlier.

Therefore, the assumption p*q is rational cannot be the case, and p*q must be irrational.

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

Answer:

This is the answer

2/9=0.222222222.

Answer:

.2222 ( repeating)

Step-by-step explanation:

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:

5w+11n

:D

Hope this helped!

My regards

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:

Step-by-step explanation:

The formula for calculating the margin of error is expressed as shown;

Margin of error = Z * S/√n

Z is the z-score at 95% confidence interval = 1.96

S is the standard deviation = 50

n is the sample size = 100

Substituting this values into the formula above;

Margin of error = 1.96 * 50/√100

Margin of error = 1.96 * 50/10

Margin of error = 1.96 * 5

Margin of error = 9.8

Hence the margin of error is 9.8

Answer:

y = x

Step-by-step explanation:

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

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:

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:

Distance= 1

Step-by-step explanation:

Distance be points using polar coordinates

Distance= √(8² +9² -2(8)(9)cos(0.2-1.7)

Distance=√(64 + 81-(144)cos(-1.5))

Distance= √(145-143.9506)

Distance=√ 1.0493

Distance= 1.0243

Distance= 1

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:

The first blank is 6.

The second blank is 7.

Step-by-step explanation:

The square root of 41 is between 6 and 7.

6 square is 36

7 square is 49.

So, the square root of 41 should be between 6 and 7.

The first blank is 6.

The second blank is 7.

the answer to your question is x= -2

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)

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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:

28th floor........

Step-by-step explanation:

...

Answer:

28

Step-by-step explanation:

current position: 9

down 4 floors: 9-4 = 5

up 7 floors: 5+7 = 12

up 8 floors: 12+8 = 20

up 8 floors: 20+8 = 28