During his vacation, Dalyn rents a small boat from a rental service that charges a flat fee of $60 plus $20 per hour (including taxes). The total charge comes to $100. which equation can be used to calculate the number of hours, X, that Dalyn rents the boat?

6 is a whole number so the answer is 6

7

Step-by-step explanation:

(x - 3)² = 16

x² - 6x + 9 = 16

x² - 6x + 9 - 16 = 0

x² - 6x - 7 = 0

(x - 7)(x + 1)

x = 7 \/ x = -1

so positive value of x = 7

Answer:

The sum of the outer angles of polygon is twice the sum of the inner angles. (i) How many sides does it have? (ii) What if the sum of outer angles

Answer:

The value of 9 + c= 14 because 9 + 5=14

Using the binomial distribution, it is found that:

a) There is a 0.0162 = 1.62% probability that among 12 randomly observed individuals, exactly 7 do not cover their mouth when sneezing.

b) There is a 0.5958 = 59.58% probability that among 12 randomly observed individuals, fewer than 5 do not cover their mouth when sneezing.

c) The probability is higher than 5%, so it would not be unusual.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, with p probability.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]  

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]  

In this problem:

Item a:

This probability is P(X = 7), so:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 7) = C_{12,7}.(0.267)^{7}.(0.733)^{5} = 0.0162[/tex]

There is a 0.0162 = 1.62% probability that among 12 randomly observed individuals, exactly 7 do not cover their mouth when sneezing.

Item b:

The probability is P(X < 4), which is:

[tex]P(X < 4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)[/tex]

Then

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 0) = C_{12,0}.(0.267)^{0}.(0.733)^{12} = 0.0241[/tex]

[tex]P(X = 1) = C_{12,1}.(0.267)^{1}.(0.733)^{11} = 0.1052[/tex]

[tex]P(X = 2) = C_{12,2}.(0.267)^{2}.(0.733)^{10} = 0.2107[/tex]

[tex]P(X = 3) = C_{12,3}.(0.267)^{3}.(0.733)^{9} = 0.2558[/tex]

Then

[tex]P(X < 4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) = 0.0241 + 0.1052 + 0.2107 + 0.2558 = 0.5958[/tex]

There is a 0.5958 = 59.58% probability that among 12 randomly observed individuals, fewer than 5 do not cover their mouth when sneezing.

Item c:

This probability is:

[tex]P(X < 6) = P(X < 4) + P(X = 5) = 0.5958 + P(X = 5)[/tex]

Negative probabilities do no exist, thus, this probability is guaranteed to be above 0.05, which means that it would not be unusual if fewer than half covered their mouth when sneezing.

A similar problem is given at https://brainly.com/question/24923631

nahhhh man ain't answering that lololollozz

Answer:

34°

Step-by-step explanation:

1. First, let's find the measure of ∠1 because since r || s, that means ∠1 = ∠7 because they're both alternate exterior angles. Alternate exterior angles are congruent.

2. (Solving for ∠1)

3. Now, since we know ∠1 = ∠7, ∠7 = 34°.

Answer:

First equation is already in slope-intercept form

The y-intercept of the first equation is (0,4)

The slope of the first equation is -2

Second equation is y= -1/2x-2 in slope-intercept form

The y-intercept of the second equation is (0,-2)

The slope of the second equation is -1/2

Answer:

$10

Step-by-step explanation:

Each mitt was sold for $10 each.

First, add the total of the money she made off of all three mittens (23+7=30) this equation gives you the amount of money that Quinn got for all three mitts.

Then, to find the value of each mitt, take the total of all the mitts and divide it by the number of mitts (30÷3=10)

This gives you the answer that each mitt was $10

The cost of each softball mitt is $10.

We have Quinn sold 3 of her old softball mitts at Mickey's Secondhand Thrift Mart. Before she left, she spent $23 of her earnings on a used batting helmet. Now, She has $7 remaining with her.

We have the cost of each softball mitt.

The cost price (C.P.) is equal to selling price (S.P.). Therefore -

Profit = SP - CP = 0

Hence, the profit percentage is zero.

According to the question -

Assume that the cost of 3 softballs is $x.

Cost of batting helmet = $23

Money remaining = $7

Therefore, the following equation can be used to represent the situation-

x - 23 = 7

x = 30

Now -

cost of 3 soft balls = 30

cost of 1 soft ball will be = 30/3 = 10

Hence, the cost of each softball mitt is $10.

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Answers:

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

Explanation:

The y intercept is where the curve crosses the y axis. The curve appears to do so just below y = 10, so y = 9 seems like a good estimate. I'm basing this off of the answer choices given. The y intercept always occurs when x = 0.

The zeros, aka roots or x intercepts, are where the curve crosses or touches the x axis. This occurs in four locations: x = -3, x = -1, x = 1 and x = 3. The x intercepts always occur when y = 0.

Answer:

x = - 3/7

y = - 8/7

Step-by-step explanation:

(2x - 6y = 6)/2 =

x - 3y = 3

x = 3y + 3

Substitution:

6 (3y +3) - 4y = 2

18y + 18 - 4y = 2

14y = -18+2

y = -16/14

y = - 8/7

Substitution:

x = 3(-8/7)+3

x = -24/7 + 3

x = -3/7

9514 1404 393

Answer:

  (x, y) = (-3/7, -1 1/7)

Step-by-step explanation:

We can divide each equation by 2 and subtract the constant to put them in general form.

  x -3y -3 = 0

  3x -2y -1 = 0

This form facilitates use of the "cross multiplication method" of solution. That method tells us ...

  1/d1 = x/d2 = y/d3

where the differences d1, d2, d3 are the differences of cross-products:

  d1 = 1(-2) -(3(-3)) = 7

  d2 = -3(-1) -(-2(-3)) = -3

  d3 = -3(3) -(-1(1)) = -8

Then the solutions are ...

  x = d2/d1 = -3/7

  y = d3/d1 = -8/7

(x, y) = (-3/7, -8/7)

_____

Additional comment

When the general form equations ax+by+c=0 and dx+ey+g=0 have their coefficients written in two rows: (note the repeated first coefficient)

The pattern in the cross-differences is relatively easy to see:

The expressions for the solution values, (x, y) = (d2/d1, d3/d1), are substantially identical to those of Cramer's method.

Answer: can you do 1 2 and 3 ​

Step-by-step explanation:

Step-by-step explanation:

The number of employees before the layoff = 2000

"It is a number can be expressed as a fraction of 100."

For given question,

Let 'n' be the the number of employees before layoff.

A company laid off 80% of its work force.

The number of employees after the layoff is 400.

The number of employees after the layoff would be,

⇒ n - (80 percent of n) = 400

[tex]\Rightarrow n-(n\times \frac{80}{100} )=400\\\\\Rightarrow n[1-0.8]=400\\\\\Rightarrow n\times 0.2=400\\\\\Rightarrow n=2000[/tex]

Therefore, the number of employees before the layoff = 2000

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Answer:y =12/7

Step-by-step explanation:

Answer:

y= 2-x/6

Step-by-step explanation:

Answer:

i do just simplyfy it that the easeasttttttt way am always. here to help i will be your persenol assitent

Step-by-step explanation:

likeeee eomg simplify to it yea i will always helpppppp youuu i likeee helppppppppppppppinggg

Answer:

x = 70

Step-by-step explanation:

Step 1: Simplify both sides of the equations.

Step 2: Subtract 5/7x from both sides.

Step 3: Multiply both sides by 70/(-43).

Step 4: Check if solution is correct.

Therefore, x = 70.

Answer:

40 table spoons

Step-by-step explanation:

We need to divide 16 by 2 because it says for every 2 color tablets she need 5 table spoons of vinegar

16/2 = 8

8 x 5 = 4

Answer:

$160 in 10 hours

Step-by-step explanation:

We know that Kevin earns $112 for working 7 hours. To find the answer for 10 hours, we need to find the unit rate.

Divide 112÷7= $16 for every 1 hour he works.

Now, we can use the unit rate to find the amount earned for 10 hours.

16×10= $160

Answer:

45 - big boxes, 200 - small boxes

Step-by-step explanation:

45 x 10 = 450

200 x 20 = 4000

Total = 4,450

Hope it's correct

Answer:

10x+276

Step-by-step explanation:

multiply length times width to get the area

12(5/6x +23)

simplify

10x +276

i hope your test is going well <3

Answer:

Quizziz (Another educational site) or asking questions about the Exam/Quiz on Brainly.

Step-by-step explanation:

9514 1404 393

Answer:

  I. 0.540; II. 0.694; III. 0.306; IV. 0.334; V. 0.177 ≠ 0.306 (not independent)

Step-by-step explanation:

I. P(ring) = 1100/2036 = 275/509 ≈ 0.540

The probability that a randomly selected bottle will have its ring attached is the ratio of such bottles to the total number of bottles: 1100/2036 ≈ 0.540.

__

II. P(PET∨ring) = 1 -P(HDPE∧no ring) = 1 -623/2036 = 1413/2036 ≈ 0.694

The probability that a random bottle is PET or has the ring attached is the ratio of such bottles to the total: 1413/2036 ≈ 0.694.

__

III. P(HDPE∧no ring) = 623/2036 ≈ 0.306

The probability that a random bottle is HDPE and has the ring removed is the ratio of such bottles to the total number of bottles: 623/2036 ≈ 0.306.

__

IV. P(PET | no ring) = P(PET∧no ring)/P(no ring) = 313/936 ≈ 0.334

The probability that a random bottle is PET given that it has no ring is the ratio of ringless PET bottles to the total number of ringless bottles: 313/936 ≈ 0.334.

__

V. P(ringless) = 936/2036 ≈ 0.460

  P(HDPE) = 890/2036 ≈ 0.386

  P(ringless)×P(HDPE) = 0.460×0.386 ≈ 0.177 ≠ P(HDPE∧no ring) = 0.306

If events A and B are independent, the probability of the joint event A∧B is the product of the probabilities of the individual events. Here the probability of an HDPE bottle having no ring is about 0.306, while the product of probabilities that a bottle is HDPE and that a bottle has no ring is about 0.177. "Ring removed" and "HDPE bottle type" are not independent.

_____

Attached is the recommended cross tabulation table. The numbers in blue are given in the problem statement (623 = 70%×890). The numbers in black are the numbers required in order to achieve the given totals.

9514 1404 393

Answer:

Step-by-step explanation:

There are numerous possible solutions. Perhaps the simplest is to look at what happens to x in the expression for h(x).

This suggests that f(x) will square the result of g(x), and that g(x) will add 1 to x:

  g(x) = x +1

  f(x) = x²

__

Check

  h(x) = f(g(x)) = f(x+1) = (x+1)² . . . . as required

_____

Additional comment

For some (almost) arbitrary function g(x), the function f(x) can include its inverse (to get the value of x+1), then perform the square. If g(x) involves powers of x, then f(x) only needs to do enough of an inverse to find (x+1)². Here's a relatively simple example.

  g(x) = 2x+3

  f(x) = (x -1)²/4

Then h(x) = f(g(x)) = f(2x +3) = ((2x +3) -1)²/4 = (2(x+1))²/4 = (x+1)²

Answer:

3900 x.094 = 366.60

366.6+3900=4266.60