The width of the pond shown is x ft. What is the value of x.

Answer:

0.68

Explanation:

The question is incomplete without the tables. Find attached the table used in solving the question.

group 20-24 25-34 35-44 45-54 55-64 65-74 75+ respectively

Probability 0.004 0.006 0.14 0.29 0.32 0.17 respectively

This is a probability of complementary events. The sum of the two complementary events = 1

Hence, the probability of selecting a man with the disease that is not between the ages of 55 and 64 + the probability of selecting a man with the disease that is between the ages of 55 and 64 = 1

The probability of selecting a man with the disease is not between the ages of 55 and 64 = 1- probability of selecting a man with the disease is between the ages of 55 and 64

Let Pr(between 55 and 74) = probability of selecting a man with the disease is between the ages of 55 and 64

From the table, Pr(between 55 and 74) = 0.32

The probability of selecting a man with the disease is not between the ages of 55 and 64 = 1 - 0.32

The probability of selecting a man with the disease is not between the ages of 55 and 64 = 0.68

Answer:

b) Dependent sample

Step-by-step explanation:

Given:

Sample size, n = 1400

The average sleep of the respondents in weekdays = 6.5 hours

The average sleep of the respondents in weekends = 7.2 hours

% with eight or more hours of sleep on​ weekdays = 20%

% with eight or more hours of sleep on​ weekends = 43%

Required: To Check if the samples on weekdays and weekends are independent or dependent.

When samples are independent, it means one sample does not influence the other and vice versa, while samples are said to be dependent if the outcome of one test influences the outcome of the other. The tests might be from a similar population or from various populations.

In this case, the sample gathered are from similar population because same sample is used for both weekdays and weekends. Therefore, we can say the sample is a paired sample.

The samples on weekdays and weekends are dependent since same people are used, also since sleep on weekdays and sleep on weekends may influence each other.

Answer:

f(-3)=3

Step-by-step explanation:

We know that f(x)=-2x-3. In order to find f(-3), we simply need to substitute x with -3.

Thus, we have:

=-2(-3)-3

=6-3

=3

Answer:

3

Step-by-step explanation:

f(x)=-2x-3

Let x=-3

f(-3)= -2(-3) -3

     = 6-3

    = 3

Answer:

3

Step-by-step explanation:

1+1= 2 + -2=0 + 3 = 3

Answer:

[tex]3[/tex]

Step-by-step explanation:

[tex](1 + 1 -2 +3)[/tex]

[tex]1+1-2+3[/tex]

[tex]2+1[/tex]

[tex]=3[/tex]

Answer:

1/6

Step-by-step explanation:

There are 6 CD

P( song from 6th ) = number of CD's that are 6th/ total

                                = 1/6

Answer:

The total amount in 7 years is: $958.62

Step-by-step explanation:

Recall the formula for compound interest:

[tex]A=P\,(1+\frac{r}{n} )^{n\,t}[/tex]

where:

A is the Accrued value (total in the account including accumulated interest), and in our case the unknown.

P is the Principal (amount initially deposited), and in our case $700.

r is the annual percent rate (but in decimal form) in our case 0.045

n is the number of compoundings done per year, and in our case 12 since it is compounded monthly

t is the time in years of the deposit.

Then the formula becomes:

[tex]A=P\,(1+\frac{r}{n} )^{n\,t}\\A=700\,(1+\frac{0.045}{12} )^{12\,*\,7}\\A=958.61657[/tex]

which can be rounded to the cents: $958.62

Answer:

Part 1

Type II error

Part 2

No ; is not ; true

Step-by-step explanation:

Data provided in the question

Mean = 100

The Random sample is taken = 43 students

Based on the given information, the conclusion is as follows

Part 1

Since it is mentioned that the classes are successful which is same treated as a null rejection and at the same time it also accepts the alternate hypothesis

Based on this, it is a failure to deny or reject the false null that represents type II error

Part 2

And if the classes are not successful so we can make successful by making type I error and at the same time type II error is not possible

Therefore no type II error is not possible and when the null hypothesis is true the classes are not successful

Answer:

It will take 1.47 hours for the horse and clown to collide

Step-by-step explanation:

They are driving toward each other, in opposite directions.

So to find their speed of approximation, we add their speeds.

19 mph + 15 mph = 34 mph.

This means that each hour, they are 34 miles closer.

How long it takes for them to find each other if they are 50 miles apart?

1 hour - 34 miles

x hours - 50 miles

[tex]34x = 50[/tex]

[tex]x = \frac{50}{34}[/tex]

[tex]x = 1.47[/tex]

It will take 1.47 hours for the horse and clown to collide

Answer:

$504 a week

Step-by-step explanation:

Solution,

Diameter=16.8 cm

Radius=16.8/2=8.4 cm

Area of circle=pi r^2

= 3.142*(8.4)^2

=3.142*70.56

=221.69952 cm^2

hope it helps

Good luck on your assignment

Answer:

12 trips

Step-by-step explanation:

Given;

Dimension of cone shapef pile of earth;

height h = 12 ft = 4 yards

diameter d = 30 ft = 10 yards

radius r = d/2 = 10/2 = 5 yards

The volume of a cone V;

V = (1/3)πr^2 h

Substituting the given values;

V = (1/3) ×π × 5^2 × 4 cubic yards

V = 104.72 cubic yards

Given that a dump truck have a capacity of 9 cubic yards.

Vc = 9 cubic yards

Number of trips it will take is;

N = Volume of earth pile/truck capacity

N = V/Vc

Substituting the values;

N = 104.72/9

N = 11.64

N ≈ 12 trips

Therefore, the truck will make 12 trips

6y+4−3y−7=3(y−1)

Opening the bracket we notice that it will yield same thing for both sides of the equation.

There is only one way to solve the equation because it's clear that y = 0

So it's by opening the bracket.

So the value for y is equal to zero

The according to the dot plot, the true statement is: the data is left-skewed and shows Shira never scored fewer than 2 points or more than 12 points in a game

A data distribution that is left-skewed is negatively skewed. This means that the long tail goes in the negative direction of the number line, with most of the values being concentrated on the right side.

The dot plot given is left-skewed, which means it is negatively-skewed.

Therefore, the according to the dot plot, the true statement is:

The data is left-skewed and shows Shira never scored fewer than 2 points or more than 12 points in a game

Learn more about left-skewed data on:

https://brainly.com/question/3252860

Answer:

c

The data is skewed to the left and shows that she never scored fewer than 2 points or more than 12 points in a game.

Step-by-step explanation:

swag

Answer:

the prime factorization of 18 is 2 times 3 and 1 time two

Step-by-step explanation:

Factorization refers to the process by which we decompose a number in its prime factors, in other words, we express the number as a multiplication of prime numbers.

In this case we have the number 18:

18= 9 x 2, however, 9 is not a prime number so we are going to factor the 9.

18= 3 x 3 x 2.

Now we see that all our factors are prime and thus this is the factorization of 18.

Thus, the prime factorization of 18 is 2 times 3 and 1 time two

Answer:

A

enginuity2020

Answer:

(b)

Step-by-step explanation:

You can clearly see that putting each factor equal to 0 , we get -6 , -2 , 3

Answer:

Boris height above the ground is 9.428m

Step-by-step explanation:

Boris height above the ground is given by the formula;

H = a cos(bt) + c

Now, we are told that,

a = -15m

b = 2.241 rad/s

t = 3s

c = 23m

Plugging in the relevant values, we have;

H = -15 cos (2.241 * 3) + 23

H = -15 cos(6.723 rad) + 23

cos(6.723rad) = 0.9048

Thus,

H = (-15 × 0.9048) + 23

H = 9.428 m

So boris height above the ground is 9.428m

Answer:

Given diameter: r = d / 2 , Given area: r = √[A / (4 * π)] , Given volume: r = ³√[3 * V / (4 * π)] , Given surface to volume ratio: r = 3 / (A/V) .

Step-by-step explanation:

So, do that!

Answer:

36pi

Step-by-step explanation:

i already did it and it was correct.

Answer:

D. It could have a minimum at (0, 4).

Step-by-step explanation:

ax2 + bx + c = 0  has no real solutions, which means it does not touch the x axis

Since it points upwards, the vertex must be above the x axis

It will have a minimum since it opens upwards

A. It could pass through the origin.   False

B. Its vertex could be at (–6, 0).   False

C. It could have a maximum at (–3, 2).   False

D. It could have a minimum at (0, 4).  True

Answer:

Step-by-step explanation:

Hello!

The variable "X: Full scale IQ score of an adult" follows a normal distribution with mean μ= 100 and standard deviation σ= 15

The claim is that the county's residents are smarter than the national average, symbolically: μ > 100

To test this a researcher took a sample of n=100 residents that took the test and recorded an average of X[bar]= 105

The hypotheses are:

H₀: μ ≤ 100

H₁: μ > 100

α: 0.05

p-value: 0.0004

Using the p-value approach, the decision rule is as follows:

p-value ≤ α, reject the null hypothesis.

p-value > α, do not reject the null hypothesis.

The p-value is less than the significance level so the decision is to reject the null hypothesis.

At a 5% significance level, you can conclude that the average full-scale IQ score of the Smart County residents is higher than the national average.

I hope this helps!

Answer:

5%

Step-by-step explanation:

There are 2000000 people out of town and 4000000 people in total.

Solution for 2000000 is what percent of 40000000:

2000000:40000000*100 =

(2000000*100):40000000 =  

200000000:40000000 = 5

Now we have: 2000000 is what percent of 40000000 = 5  

Question: 2000000 is what percent of 40000000?

Percentage solution with steps:

Step 1: We make the assumption that 40000000 is 100% since it is our output value.

Step 2: We next represent the value we seek with x

Step 3: From step 1, it follows that 100%= 40000000.

Step 4: In the same vein, x%=2000000.

Step 5: This gives us a pair of simple equations:

100%=40000000(1).

x%=2000000(2).

Step 6: By simply dividing equation 1 by equation 2 and taking note of the fact that both the LHS

(left hand side) of both equations have the same unit (%); we have

100%/x%=40000000/2000000

Step 7: Taking the inverse (or reciprocal) of both sides.

⇒ x=5%

Therefore, 2000000 is 5% of 40000000.

I hope that answers your question and plz mark me brainliest!

Answer:

if x=ky, where k is constant.

value of x

45/3=k3/3

15=k, constant is 15

value of x when y =6

x=ky

x=15(6)

x=80

Answer:

The probability that the average length of a randomly selected bundle of steel rods is between 155.6-cm and 156.2-cm

P(155.6 < x⁻ < 156.2) = 0.174 cm

Step-by-step explanation:

Given sample size 'n' = 11 steel rods

Mean of the Population = 155.1 cm

Standard deviation of the Population = 2.2 cm

Given x⁻ be the random variable of Normal distribution

Let x₁⁻ =  155.6 cm

[tex]Z_{1} = \frac{x^{-} _{1}-mean }{\frac{S.D}{\sqrt{n} } } = \frac{155.6-155.1}{\frac{2.2}{\sqrt{11} } } = 0.7541[/tex]

Let  x₂⁻ =  156.2 cm

[tex]Z_{2} = \frac{x^{-} _{2}-mean }{\frac{S.D}{\sqrt{n} } } = \frac{156.2-155.1}{\frac{2.2}{\sqrt{11} } } = 1.659[/tex]

The probability that the average length of a randomly selected bundle of steel rods is between 155.6-cm and 156.2-cm.

P(x⁻₁ < x⁻ <x⁻₂) = P(Z₁ < Z <Z₂)

                       = P(Z <Z₂) - P(Z<Z₁)

                      = 0.5 +A(1.629) - (0.5 +A(0.7541)

                      = A(1.629) - A(0.7541)

                      = 0.4474 - 0.2734

                      = 0.174

Conclusion:-

The probability that the average length of a randomly selected bundle of steel rods is between 155.6-cm and 156.2-cm = 0.174

Answer:

1/2 h or 30 min

Step-by-step explanation:

2 h * 1/4 = 2/4 = 1/2 h or 30 min

Answer:

-2 (5) + 3

- 10 + 3

= -7

Answer:

20 trips

Step-by-step explanation:

Answer:

The amount to be paid for 2 kilograms of oranges is 3.0 TL.

Step-by-step explanation:

The total amount of oranges to be bought is, Q = 2 kilograms.

The cost of 1 kilogram of oranges is, C = 1.5 TL.

Compute the cost of 2 kilograms of oranges as follows:

Total cost = Q × C

                [tex]=2\times 1.5\ \text{TL}\\\\=3.0\ \text{TL}[/tex]

Thus, the amount to be paid for 2 kilograms of oranges is 3.0 TL.

Answer:

a idk

Step-by-step explanation:

Answer:

A

Step-by-step explanation: