which is the choice to the inequality below?
x/6>7

Answer:

Explained below.

Step-by-step explanation:

Let X = number of trucks that will be going over the speed limit on I-77 South between Dobson and Elkin.

The probability of X is, p = 0.75.

A random sample of n = 5 trucks are observed on this stretch of I-77.

The random variable X follows a binomial distribution with parameters n = 5 and p = 0.75.

(a)

Compute the mean as follows:

[tex]\mu=n\times p=5\times 0.75=3.75[/tex]

The mean of this probability distribution is 3.75.

(b)

The mean of 3.75 implies that on average 3.75 trucks that will be going over the speed limit on I-77 South between Dobson and Elkin.

(c)

Compute the standard deviation as follows:

[tex]\sigma=\sqrt{np(1-p)}=\sqrt{5\times 0.75\times (1-0.75)}=0.968[/tex]

Thus, the standard deviation of this probability distribution is 0.97.

(d)

Compute the probability that exactly 3 of the observed trucks are speeding as follows:

[tex]P(X=3)={5\choose 3}(0.75)^{3}(1-0.75)^{5-3}\\\\=10\times 0.421875\times 0.0625\\\\=0.263671875\\\\\approx 0.2637[/tex]

Thus, the probability that exactly 3 of the observed trucks are speeding is 0.2637.

(e)

Compute the probability that less than 3 of the observed trucks are speeding as follows:

[tex]P(X<3)=P(X=0)+P(X=1)+P(X=2)\\\\=\sum\limits^{2}_{x=0}{{5\choose x}(0.75)^{x}(1-0.75)^{5-x}}\\\\=0.0009765625+0.0146484375+0.087890625\\\\=0.103515625\\\\\approx 0.1035[/tex]

Thus, the probability that less than 3 of the observed trucks are speeding is 0.1035.

Answer:

a) 9 whole batches can be made

b) The cost of sugar for each batch = $0.26

Step-by-step explanation:

A 2-pound bag of sugar contains 227 one-teaspoon servings and costs $2.49.

This means:

2 pound bag of sugar = 227 teaspoon servings

2 pounds bag of sugar cost $2.49

We are told that:

A batch of muffins uses 1/2 cup of sugar.

a).How many whole batches can you make if you use as much of the sugar as possible?

(1 cup = 48 teaspoons)

Hence, A batch of muffins = 1/2 cups of sugar = 48 teaspoons of sugar ÷ 2

= 24 teaspoons of sugar

Hence:

24 teaspoons of sugar = 1 batch of muffins

227 teaspoons of sugar = x

Cross Multiply

24 × x = 1 × 227

x = 227/24

x = 9.4583333333 batches of muffins

We are asked to name the number of whole batches that can be made.

Therefore, 9 whole batches of muffins can be made

b) What is the cost of sugar for each batch? (do not consider leftover sugar in the cost calculation.) You can make a total of batches at $ per batch.

Since we are not to consider the leftover sugar in the cost calculation,

1 batch = 24 teaspoons of sugar

9 whole batches =

9 × 24 teaspoons = 216 teaspoons of sugar was used

The left over = 227 - 216 = 11 teaspoons of sugar is left

We know that:

227 teaspoons of sugar = $2.49

216 teaspoons of sugar = x

Cross Multiply

= 216 × $2.49/227

= $2.369339207

24 teaspoons of sugar = 1 batch of muffins

Therefore,

216 teaspoons of sugar =

$2.369339207

24 teaspoons of sugar =

24 × $2.369339207/ 216

= $0.2632599119

Approximately = $0.26

Therefore, the cost of sugar for each batch = $0.26

Answer:

4*(-5) = -20

Step-by-step explanation:

The question is incomplete:

The sum of the average amounts spent for veterinary expenses for​ dogs, cats, and birds in a recent year was ​$293 The average expenditure per dog exceeded the sum of the averages for cats and birds by ​$113. The amount spent per cat was 9 times the amount spent per bird. Find the average amount spent on each type of animal.

Answer:

The average amount spent in dogs is $203, in cats is $81 and in birds is $9.

Step-by-step explanation:

From the information given, you can write the following equations:

x+y+z=293 (1)

x-y-z=113 (2)

y=9z (3)

You can replace (3) in (1) and (2):

x+9z+z=293

x+10z=293 (4)

x-9z-z=113

x-10z=113 (5)

Now, you have the following equations:

x+10z=293 (4)

x-10z=113 (5)

Then, you can isolate x in (4):

x=293-10z (6)

Next, you can replace (6) in (5):

293-10z-10z=113

293-20z=113

293-113=20z

180=20z

z=180/20

z=9

Now, you can replace the value of z in (6) to find x:

x=293-10z

x=293-10(9)

x=293-90

x=203

Finally, you can replace the value z in (3) to find y:

y=9*(9)

y=81

According to this, the answer is that the average amount spent in dogs is $203, in cats is $81 and in birds is $9.

To write fractions with denominators of 10 and 100 as decimals, the position of the zero to the right of the number in the numerator is shifted a number of places left depending on the power of 10 in the denominator

Reason:

Examples of fractions that has 10 and 100 as denominators are;

[tex]\dfrac{9}{10}, \ \dfrac{15}{100}, \ \dfrac{5}{100}[/tex]

The steps to express the above fractions as decimals are;

Place a decimal point to the right to the number in the numerator as follows;

[tex]\dfrac{9.}{10}, \ \dfrac{15.}{100}, \ \dfrac{5.}{100}[/tex]

Move the decimal point to the left a number of places equal to the number of zeros in the denominator

Where the denominator is a 10, the decimal point is moved left one place and place a zero to the left of the decimal point

Where the denominator is a 100, the decimal point is moved left two places, as follows;

[tex]\dfrac{9.}{10} = 0.9, \ \dfrac{15.}{100} = 0.15, \ \dfrac{5.}{100}= 0.05[/tex]

Therefore, the decimal point is moved left depending on the number of zeros or the power of 10 in the denominator

100 = 10² in the denominator (move the decimal point two places left)

10 = 10¹ in the denominator (move the decimal point one place left)

Learn more here:

https://brainly.com/question/3425446

Answer:

nothing at all.

Step-by-step explanation:

Answer: 0/9

Step-by-step explanation: Hi there!

First, we have to put the points into the y2-y1/x2-x1 form.

Take the y value from the second point (-8) and the first point y value (-8)

and subtract.

-8 - (-8)

to get 0

Now we have to get our denominator by taking the x value from our second point and subtracting it by our first y point.

7 - (-2)

to get 9

so when we put that together...

we get 0/9

So the answer is 0/9.

Hope this answer helps you!

Answer: 2-

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

The answer is 1.788

Step-by-step explanation:

Answer: option D

Step-by-step explanation:

Answer:

D.) The percent change is 60%

Step-by-step explanation:

I know this because 960-600= 360

360÷600= .6

.6= .60

.60= 60%

Hope this helped!!! :)

Answer

y=3   x=1

Step-by-step explanation:

3(x+3)=12

3x+9=12

subtract 9 from both sides to get...

3x=3

divide 3 from both sides to get...

x=1

Step-by-step explanation:

this is very easy

2y=6

y=2/6=3

so ,

3(x+y)=12

3x+3y=12

3x+3+3=12

3x+9=12

3x=12-9

3x=3

x=3/3

x=1

Answer:

yah for some reason i cant find it

Answer:

sssssssssssssss

Step-by-step explanation:

Answer:

9^2=81, 9^7=478,296,9

Answer:

2744

Step-by-step explanation:

Let Al had x pennies initially.

Al agreed to give 3/7 of his pennies to Bev if she would give 3/7 of what she got from Al to Carl and if Carl in turn would give 3/7 of what he got from Bev to Dani.

So, as per the given condition,

The number of Pennies received by Ben from Al [tex]= \frac{3}{7} x[/tex]

The number of Pennies received by Carl from Bev

[tex]=\frac{3}{7} \times \frac{3}{7} x=\frac{9}{49}x[/tex]

The number of Pennies received by Dani from Carl

[tex]= \frac{3}{7}\times \frac{9}{49}x=\frac{27}{343} x[/tex]

Now, as Dani received 216 Pennies, so

[tex]\frac{27}{343} x =216[/tex]

[tex]\Rightarrow \frac{216\times 343}{27}=2744.[/tex]

Hence, initially, Al had 2744 Pennies.

Answer:

4:9 is the ratio

Step-by-step explanation:

4 in Texas and 9 in Michigan

Answer:

The correct answer would be 18 which means that the decimal is in the wrong spot.

Step-by-step explanation:

Answer:

20m-3

Step-by-step explanation: hope that helps :)

2+29m−9m−5

=2+29m+−9m+−5

Combine Like Terms:

=2+29m+−9m+−5

=(29m+−9m)+(2+−5)

=20m+−3

Answer:

B

Step-by-step explanation:

Answer:

I think it is B :D

Step-by-step explanation:

Step-by-step explanation:

could the conditional statement be written in another way

Answer: 7.07 m/s

Step-by-step explanation:

I took the quiz and that was the correct answer 5 is wrong

The speed of the dog at half of its kinetic energy is 7.07 m/s. The correct option is (B).

When two quantities have some dependence in their values they can be said proportional to each other.

It can be of two types such as direct and indirect.

The direct proportionality means the values of both the quantities are increasing or decreasing at the same time while the indirect proportionality implies value of one quantity is increasing while the other is decreasing.

Given that,

The present speed of the dog is 10 m/s.

Suppose the mass of the dog be m kg.

Since, the kinetic energy of an object is given as K = 1/2mv².

As per the question, the following expression can be written,

Initial energy, K₁ = 1/2m × 10²

                           = 50m

Final energy, K₂ = K₁/2

                           = 50m/2

                           = 25m

Using the expression for kinetic energy,

1/2mv² = 25m

=> v² = 50

=> v = √50

       = 7.07

Hence, the speed of the dog when its kinetic energy is reduced to half is 7.07 m/s.

To know more about proportionality click on,

brainly.com/question/22620356

#SPJ2

Answer:

8 lol

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

Add from left to right 2+2=4 and then add 4+4 and you get 8

Answer:

As x is the exterior angle

Step-by-step explanation:

therefore

let name the angle exterior angle be ACE

interior angleABC=76°and angleBAC=55°

sum of 2 interior angle is equal to exterior angle

=76+55=x

=131=x

Answer:

Let's take this step by step:

2x+b=w

2x+b-b=w-b (the basics to what we are trying to do is to get x alone so that it equals whatever is on the other side of the equation.)

2x=w-b(now that we got rid of the b on the left side of the equation by canceling it out, we have to subtract by b on the other side of the equation as well)

2x divided by 2=w-b/2 (For our final step x is being mulitplied by 2 so what we can do to get x alone is canel out the multiplication by dividing by 2. What this does is it leaves x alone showing us what x equals)

x=w-b/2

Step-by-step explanation:

Answer:

the answer is c

Step-by-step explanation:

Multiply the amount of book Robin read by 1/2.

3/4 x 1/2 = 3/8

Mark read 3/8 of the book.

Given :

Each pitcher of power smoothie that Ginger makes has 2 scoops of pineapple, 4 scoops of strawberries, 1 scoop of spinach, and 1 scoop of kale.

To Find :

If Ginger makes 6 pitchers of power smoothies, how many scoops will she use in all.

Solution :

Let, Ginger makes x pitchers of power smoothies :

[tex]Total \ scoops = 2x+4x+x+x+6x[/tex]

Now, it is given that Ginger makes 6 pitchers of power smoothies.

Total scoops are :

[tex]T=2(6)+4(6)+6+6+6(6)\\\\T=84\ scoops[/tex]

Therefore, number of scoops Ginger used is 84.

Hence, this is the required solution.

Answer:

18 crates

Step-by-step explanation:

Data provided in the question

The Number of  strawberries for distribution delivered is 25 crated

Now he seven crates is required

So the remaining crates left is

= 25 - 7

= 18 crates

hence, after filling the order the number of order crates of strawberries is 18 crates and the same is to be considered

Answer:

200,000

80,000

9,000,000

10,000,000,000

What is the context of this question?

Step-by-step explanation:

Answer:

So standard form just means 200,000 written as like 200^ something(I think)

Step-by-step explanation:

Answer:

slope:1/2

y intercept:-1/2

equation of the line: y=1/2x-1/2

Step-by-step explanation:

choose two points from the line( I chose (3,1) and (-1,-1)) and then using y1-y2/x1-x2, do 1 - -1/3 - -1 which is 2/4 simplified to 1/2. the slope is 1/2.

now to find the y intercept, you just have to plug in the numbers from one of the sets of points you chose and your slope using y = mx +b(I will be using the point (-1,-1)). equational look like this: -1=1/2•-1+b

since b is the y intercept, solve for b and you get b= -1/2.

so nowsince you know the slope and the y intercept you just plug it in to the equation

y = mx + b and you get y=1/2x-1/2.