Simplify the given expression.

Answer:

x = 7

Step-by-step explanation:

Given that,

x varies inversely as v.

When v = 3, x = 35.

We need to find x when v = 15

ATQ,

[tex]x=\dfrac{k}{v}[/tex]

Put v = 3, x = 35,

[tex]k=3\times 35\\\\k=105[/tex]

Now put v = 15 and k = 105

[tex]x=\dfrac{105}{15}\\\\x=7[/tex]

So, the required value of x is equal to 7.

Answer:Cannot be solve how much time did she spend all together but adding it all together would be 122 minutes/ she never went swimming

Step-by-step explanation:

Answer:

[tex] \frac{2 }{3} [/tex]

Step-by-step explanation:

Formula is

y=mx+c So,2by 3 is m and x is there and 2 at last is c .

answer is 2 by 3

Answer:

13.0833 ft²

Step-by-step explanation:

From the question given above, the following data were obtained:

Radius (r) = 5 ft

Angle sustained by the sector (θ) = 360 – 300

= 60°

Pi (π) = 3.14

Area of sector (A) =?

The area of the sector can be obtained as follow:

A = θ/360 × πr²

A = 60/360 × 3.14 × 5²

A = 1/6 × 3.14 × 25

A = 1/6 × 78.5

A = 78.5/6

A = 13.0833 ft²

Thus, the area of the sector is 13.0833 ft²

Step-by-step explanation:

The angle of the minor sector will be ,

> 360 - 300 = 60° .

Area of sector :-

> Area = ∅ / 360 × πr²

> A = 60/360 × 3.14 × 5ft²

> A = 13.09 ft²

Answer:A

Step-by-step explanation:

She has to pay 7.50 for admission and golf is 6.25 each round. We don’t know how many rounds she golfs so it will be 6.25x.

Answer:

Alternate interior angles.

The types of angles 4 and 5 represent alternate interior angles. If angles 4 and 5 are alternate interior angles, it means they are formed by a transversal intersecting two parallel lines

Alternate interior angles are located on opposite sides of the transversal and inside the pair of parallel lines.

Alternate interior angles are a pair of angles that are formed when a transversal intersects two parallel lines. These angles are located on opposite sides of the transversal and are found between the parallel lines. More specifically, alternate interior angles are formed by two non-adjacent interior angles.

When two parallel lines are intersected by a transversal, four pairs of alternate interior angles are created. Each pair consists of two angles—one angle on the interior of one of the parallel lines and another angle on the interior of the other parallel line. These angles are said to be "alternate" because they are located on alternate sides of the transversal.

The key property of alternate interior angles is that they are congruent, meaning they have the same measure. This property holds true regardless of the orientation of the parallel lines or the transversal.

To know more about  alternate interior angles. here

https://brainly.com/question/20344743

#SPJ2

Answer:

the correct answer is Victoria's answer

Answer:

Manuel owns 5 DVDS

Step-by-step explanation:

3/5 = 12/20

12 - 7 = 5

you watch seven deadly sins?

this question is incorrect because the decimal quantity functional persistent shouldnt be in a sequential farfictional order so the answer would be that satisfactory angle of theslop devided by pi and then multiplied by the persistent. hope this helped!

Answer: [tex]7.949\ \text{days}[/tex]

Step-by-step explanation:

Given

The half-life of a sample is [tex]T_{\frac{1}{2}}=3.823\ \text{days}[/tex]

Decay is given by

[tex]A=A_o2^{\dfrac{-t}{T_{\frac{1}{2}}}}[/tex]

After 3 half-lives, one-eight of the sample is left

Insert the values

[tex]\Rightarrow \dfrac{A_o}{8}=A_oe^{\dfrac{-t}{T_{\frac{1}{2}}}}\\\\\Rightarrow e^{\dfrac{t}{T_{\frac{1}{2}}}}=8\\\\\text{Taking log both sides}\\\Rightarrow \dfrac{t}{T_{\frac{1}{2}}}=\ln 8\\\\\Rightarrow t=3.823\times \ln 8\\\\\Rightarrow t=7.944\ \text{days}[/tex]

Answer:

What is this… mortal kombat

Step-by-step explanation:

Answer:

$2.83

Step-by-step explanation:

5lb × $3.55/lb + 4lb × x = 9 lb ×$3.23/lb

$17.75 + 4lb(x) = $29.07

-$17.75. -$17.75

4lb(x) = $11.32

___________

4lb. 4lb

x = $2.83

Answer:

5.26 hours or 315.6 minutes

Step-by-step explanation:

If he travels 0.19 miles in 1 hour

Then 1 mile is traveled (1x1)/0.19

5.26 approx. hours or 5.26 x 60 mins = 315.6.

Answer:

a. 250 fields

b. 220 to 280 fields

c. Fields are not independent

Step-by-step explanation:

a. The average number of fields sampled that are infested with whitefly =

number of fields X Percentage sampled, 10%

= 2500 X 10% = 250 fields

b.  Going by the binomial distribution is the square of the standard deviation, divided by (the product of the sample size n, and the probability a and b). While the standard deviation is the square root of the variance

σ = √nab

= √na(1-a) = √2500 X 10% X (1- 10%)

= √225 = 15

Now let's use the empirical rule that says about 95% of the observations are within two standard deviations from the mean since the number of trials is very large

μ - 2σ = 250 - 2(15) = 220

μ + 2σ = 250 + 2(15) = 280

Approximately 220 to 280 fields are expected to be infested going by 95% probability observation

c. Since x=25 is considered small and is not captured within 220 and 280 fields making one of the characteristics of binomial experiment not satisfied which expects each field to be independent. Making fields that are close together more likely to be infected.

Answer:

4

Step-by-step explanation:

the absolute value is the distance a number is from zero.

Answer:

Step-by-step explanation:

The absolute value of 4 is 4 and –3 is 3. Subtract the smaller number from the larger and you get 4 – 3 = 1. The larger absolute value in the equation was 4 or a positive number so you give the result a positive result. Therefore, the result of 4 + –3 = 1.

hope that helped, have a nice!

Answer:

47 squares

Step-by-step explanation:

Looking at your question was quite confusing.

So, I'll assume that you're looking for the amount of squares that can fit within the specified area.

To find area: we would do A = L x W

So, our values are 21W and 9L.

Plug it in.

A = 21 x 9

A = 189 square meters

Then, we would find the number of squares that could fit in the area.

A square meter is a square with a side length of 1 meter on each side.

So, 1 x 4 = 4

Divide 189 by 4.

189/4 = 47.25

1/4 is the remainder.

So, our total is 47 squares.

Do please, tell me if I did it incorrectly, since the context is quite vague.

Answer: 875 m²

Step-by-step explanation:

Answer:

A. Statistic = A numerical measure that describes an aspect of a sample.

B.) Null hypothesis = A claim about a population parameter.

C.) Slope of the least square line = Marginal change in response variable.

D.) Population = All Objects or individual of interest

E.) P - value = Probability, assuming null hypothesis is true, that test statistic will take a value as extreme as observed.

F.) Coefficient of determination = Ratio of explained variation over total variation in y that can be explained by the regression equation using x as the explanatory variable.

G.) Z score = Distance from mean in terms of standard deviation units.

H.) Parameter = A numerical measure that describes an aspect of a population.

I.) Sampling distribution = Probability distribution of a sample statistic

J. Sample = Some individuals or objects of interest

Step-by-step explanation:

Answer is Explanatory

Answer:

7 students.

Step-by-step explanation:

1/6 of 30 is 5

3/5 of 30 is 18

18+5=23

30-23=7

Answer:

C, D

Step-by-step explanation:

in the first coordinate plane, both numbers in a coordinate must be positive

9514 1404 393

Answer:

Step-by-step explanation:

The relevant relations are ...

__

Using the second relation, ...

  x = 180° -85° = 95°

  y = 180° -105° = 75°

Using the first relation, ...

  arc ABC = 2y = 2(75°) = 150°

Answer:

Answer is 12

Step-by-step explanation:

angle BCF+angle CFE=180(being co-interior angle)

4x+11x=180

15x=180

x=180/15

x=12

Answer:

A

Step-by-step explanation:

Answer:

a. The margin of error for the survey is of 0.0308 = 3.08%.

b. The 95% confidence interval that is likely to contain the exact percent of all people who favor the home team winning is (65.96%, 78.04%).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the z-score that has a p-value of [tex]1 - \frac{\alpha}{2}[/tex].

The margin of error of the survey is:

[tex]M = \sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

The confidence interval can be written as:

[tex]\pi \pm zM[/tex]

In a survey of 212 people at the local track and field championship, 72% favored the home team winning.

This means that [tex]n = 212, \pi = 0.72[/tex]

a. Find the margin of error for the survey.

[tex]M = \sqrt{\frac{0.72*0.28}{212}} = 0.0308[/tex]

The margin of error for the survey is of 0.0308 = 3.08%.

b. Give the 95% confidence interval that is likely to contain the exact percent of all people who favor the home team winning.

95% confidence level

So [tex]\alpha = 0.05[/tex], z is the value of Z that has a p-value of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].

Lower bound:

[tex]\pi - zM = 0.72 - 1.96*0.0308 = 0.6596[/tex]

Upper bound:

[tex]\pi + zM = 0.72 + 1.96*0.0308 = 0.7804[/tex]

As percent:

0.6596*100% = 65.96%

0.7804*100% = 78.04%.

The 95% confidence interval that is likely to contain the exact percent of all people who favor the home team winning is (65.96%, 78.04%).

Answer:

11 1/2 aka D

Step-by-step explanation:

add 7 and 4 which is 11, then add 1/4 and 1/4 which is 1/2

Answer:

D.) 11 1/2

Step-by-step explanation:

Answer:

a= 800/15

b=53 hours round to nearest

Step-by-step explanation:

Answer:

Since both [tex]np \geq 10[/tex] and [tex]n(1-p) \geq 10[/tex], you can use a normal distribution to approximate the binomial distribution.

The mean is of 11.1 and the standard deviation is of 2.64.

Step-by-step explanation:

Binomial probability distribution

Probability of exactly x successes on n repeated trials, with p probability.

The expected value of the binomial distribution is:

[tex]E(X) = np[/tex]

The standard deviation of the binomial distribution is:

[tex]\sqrt{V(X)} = \sqrt{np(1-p)}[/tex]

Using the normal distribution to approximate the binomial distribution.

This is possible if:

[tex]np \geq 10, n(1-p) \geq 10[/tex]

A survey of U.S. adults found that 37% have been to court. You randomly select 30 U.S.

This means that [tex]p = 0.37, n = 30[/tex]

Test if it is possible:

[tex]np = 30*0.37 = 11.1[/tex]

[tex]n(1-p) = 30*0.63 = 18.9[/tex]

Since both [tex]np \geq 10[/tex] and [tex]n(1-p) \geq 10[/tex], you can use a normal distribution to approximate the binomial distribution.

Mean and standard deviation:

[tex]E(X) = np = 30*0.37 = 11.1[/tex]

[tex]\sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{30*0.37*0.63} = 2.64[/tex]

The mean is of 11.1 and the standard deviation is of 2.64.

Answer:

4

Step-by-step explanation: