Jared and Pedro walk 1 mile in about 15 minutes. They can keep up pace for several hours. About how far they walk in 65 minutes

1) Number of participants whose headache remained is: 62

2) The probability of randomly selecting an individual whose headache remained is: 0.4133

3) The probability of randomly selecting an individual whose headache remained and took a placebo is: 0.2933

From the table, we have the parameters as:

Number of participants that took medicine and headache went away = 120

Number of participants that took placebo and headache went away = 68

Number of participants that took and headache remained = 18

Number of participants that took placebo and headache remained = 44

1) Number of participants whose headache remained = 18 + 44 = 62

2) The probability of randomly selecting an individual whose headache remained is:

62/(62 + 120 + 68)

= 62/150

= 0.4133

3) The probability of randomly selecting an individual whose headache remained and took a placebo is:

44/150 = 0.2933

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For the given inequality -3 < x < 1 the correct choices are x ≥ -3 and x < 1. The correct options are option B and option D.

inequality is the relationship between two expressions that are not equal, employing a sign such as ≠ “not equal to,” > “greater than,” or < “less than.”.

Given inequality is -3 < x < 1. The meaning of inequality is that the value of x is greater than -3 and the value of x is less than 1.

The correct choices for the given inequality would be that x is greater than or equal to -3 and x is less than 1.

Therefore, For the given inequality -3 < x < 1 the correct choices are x ≥ -3 and x < 1. The correct options are option B and option D.

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Explanation:

If we replaced y with 3 in choice A, then we get

2y-3 = 6

2(3)-3 = 6

6-3 = 6

3 = 6

which is a false statement. So choice A's solution is not y = 3. We can cross choice A off the list. The same applies with choices B and D as well.

Choice C is the answer because,

11y+4 = 37

11(3)+4 = 37

33+4 = 37

37 = 37

which is true. This confirms choice C.

On solving the provided question, we can say that the equation will be  distance = distance 36t + 18 = 63t distance = 63t = 63(2/3) = 42 miles

A mathematical equatiοn is a formula that joins two statements and uses the equal symbol (=) to indicate equality. A mathematical statement that establishes the equality of twο mathematical expressions is known as an equation in algebra. Fοr instance, in the equation 3x + 5 = 14, the equal sign places the variables 3x + 5 and 14 apart. The relatiοnship between the two sentences οn either side of a letter is described by a mathematical fοrmula. Often, there is οnly one variable, which also serves as the symbοl. for instance, 2x – 4 = 2.

the equatiοn will be

distance = distance

36t + 18 = 63t

27t = 18

t = 18/27 = 2/3 hr

distance = 63t = 63(2/3) = 42 miles

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Answer:

QS=8x-10

Step-by-step explanation:

Question 9

6x-9+2x-1

QS=8x-10

Answer:

30 and 6

Step-by-step explanation:

Given that R is the midpoint of QS , then

RS = QR , that is

5x = 3x + 6 ( subtract 3x from both sides )

2x = 6 ( divide both sides by 2 )

x = 3

Then

QS = QR + RS

     = 3x + 6 + 5x

     = 8x + 6

     = 8(3) + 6

     = 24 + 6

     = 30

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

Similarly

QR = RS , that is

6x - 9 = 2x - 1 ( subtract 2x from both sides )

4x - 9 = - 1 ( add 9 to both sides )

4x = 8 ( divide both sides by 4 )

x = 2

Then

QS = QR + RS

      = 6x - 9 + 2x - 1

      = 8x - 10

      = 8(2) - 10

      = 16 - 10

      = 6

The graph of the function is added as an attachment

From the question, we have the following parameters that can be used in our computation:

f(x) = x^2 - 1

We have the x values to be

x = ±5 to 0

Substitute the known values in the above equation, so, we have the following representation

f(5) = (5)^2 - 1 = 24

f(4) = (4)^2 - 1 = 13

f(3) = (3)^2 - 1 = 9

f(2) = (2)^2 - 1 = 3

f(1) = (1)^2 - 1 = 0

f(0) = (0)^2 - 1 = -1

Next, we plot the graph using the points

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Hope this will help

Answer:

73°

Step-by-step explanation:

This equation uses two supplementary angles. Supplementary angles are two angles that add up to 180 degrees.

The triangle has two angles implied, 30 degrees and (180-137) degrees.

(180 - 137) = 43 degrees

Now that we have two angles inside the triangle, we subtract them from 180 to find the last angle.

180 - 43 - 30 = 107

The angle with a measure of 107 degrees and angle 3 are supplementary

180 - 107 = 73 degrees

Answer:73.4° Fahrenheit.

Step-by-step explanation:

Answer:

The p- value  is \(p-value  =  0.2033\)

Its interpretation is  

As  \(p-value > \alpha\)

The decision rule is

Fail to reject the null hypothesis

 The conclusion is  

There is no  sufficient evidence to support the  company claims at a level of  sign9ificance of 0.05

Step-by-step explanation:

From the question we are told that

  The mean is  \(\mu =  30 \  inches\)

  The standard deviation is   \(\sigma  =  1.2 \  inches\)

  The sample size is  n  =  100

  The sample mean is  \(\= x  =  30.1\)

Let assume the level of significance is  \(\alpha = 0.05\)

The null hypothesis is \(H_o  :  \mu \le 30\)

The alternative is  \(H_a : \mu > 30\)

Generally the test test is mathematically represented as

    \(z =  \frac{\= x- \mu }{\frac{\sigma}{\sqrt{n} } }\)

=>  \(z =  \frac{30.1- 30 }{\frac{1.2}{\sqrt{100} } }\)

=>  \(z =  0.83\)

Generally from the z-table  the  probability of (Z > 0.83 ) is

   \(p-value  =  0.2033\)

From the value obtained we see that  \(p-value > \alpha\) hence

 The decision rule is

Fail to reject the null hypothesis

 The conclusion is  

There is no  sufficient evidence to support the  company claims at a level of  sign9ificance of 0.05

One serving of tomato juice has mg of more vitamin C per serving is 90mg.

We are given that;

Tomato juice percentage of vit c

Now,

The Daily Value (DV) for vitamin C is 90 mg for adults and children aged 4 and older. This value is used to calculate the percent DV that you see on nutrition labels. So, if one serving (1 cup or 240 ml) of 100% canned tomato juice contains 74% of the DV for vitamin C, this means that one serving contains approximately 66.6 mg of vitamin C

Solving this calculation;

0.74 x 90 mg = 66.6 mg

The DV for vitamin C=90 mg.

Therefore, by percentage the answer will be 90mg.

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Answer:

B and D.

Step-by-step explanation:

4(2n) + n

= 8n + n

= 9n.

\( \huge \tt \color{pink}{A}\color{blue}{n}\color{red}{s}\color{green}{w}\color{grey}{e}\color{purple}{r }\)

\( \large\underline{ \boxed{ \sf{✟\:Important\: point's✟ }}}\)

→ Your given expression:- 4(2n)+n

☆ Hence option b (9n) is right ans

\(\pink{\underline{ \underline{ \boxed{ \sf{✰\: Option.\:B✓ }}}}}\)

Hope it helps !

The amount of coffee imported into the country in the year 1997 is approximately 1.344 million pounds.

The amount of coffee imported into the country in the year 2002 is approximately 39.3176 million pounds.

The amount of coffee imported into the country in the year 2007 is approximately 85.8966 million pounds.

A polynomial function can be defined as a mathematical expression which comprises intermediates (variables), constants, and whole number exponents with different numerical value, that are typically combined by using mathematical operations such as:

Next, we would determine the amount of coffee imported into the country by using the given polynomial function as follows:

At 1997, we have the following:

x = 0

P(x) = 0.7166x² + 6.627x + 1.344

P(0) = 0.7166(0)² + 6.627(0) + 1.344

P(0) = 1.344 million pounds.

At 2002, we have the following:

x = 4

P(x) = 0.7166x² + 6.627x + 1.344

P(4) = 0.7166(4)² + 6.627(4) + 1.344

P(4) = 0.7166(16) + 26.508 + 1.344

P(4) = 11.4656 + 26.508 + 1.344

P(4) = 39.3176 million pounds.

At 2002, we have the following:

x = 9

P(x) = 0.7166x² + 6.627x + 1.344

P(9) = 0.7166(9)² + 6.627(9) + 1.344

P(9) = 0.7166(81) + 59.643 + 1.344

P(9) = 58.0446 + 26.508 + 1.344

P(9) = 85.8966 million pounds.

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Step-by-step explanation:

first put 4 3/4 into a improper fraction ---> 19/4

you get 19/4 because  4 is equal to 16/3 plus the 3/4

then you will do keep, flip change so it becomes multiplication

so instead of 1/3 divided by 19/4 it will be 1/3 x 4/19 then

multiply it out to get 19/12

Answer:

Step-by-step explanation:

Volume = 12 × 18 = 216 in³

Answer:

His slugging average is 0.551.

Step-by-step explanation:

Slugging average:

Sum of:

Singles multiplied by 1.

Doubles multiplied by 2.

Triples by 3.

Home runs by 4.

Divided by:

Number of at bats.

This player:

190 hits(singles + doubles + triples + homeruns)

His number of singles is:

190 - (50+4+31) = 190 - 85 = 105

His slugging average is given by:

His slugging average is 0.551.

Answer:

8

Step-by-step explanation:

1/4 times 8 is 2

Answer:

Step-by-step explanation:

3⅙ - ⅚ = 19/6 - ⅚ = 14/6 = 7/3 = 2⅓

Answer:

-5 5/6

Step-by-step explanation:

1 2/3=5/3

-3 1/2=-7/2

5/3*-7/2=-35/6= -5 5/6

Answer:

- 5 5/6 or Decimal: -5.833333

Step-by-step explanation

Answer:

the first option

Step-by-step explanation:

equilateral triangles are also equiangular which means each of the three angles is 60°

but you can have an acute triangle with angle measures that are all acute (for example, 59°, 85°, and 36°) that is not equilateral

Answer: 11

Step-by-step explanation:

F(1) = 3(1) + 8

F(1) = 3 + 8

F(1) = 11

You just substitute the x in for 1 and solve from there.

Answer: (x+6)(x-3)

Step-by-step explanation:

y=x^2+3x-18

(x+6)(x-3 )

9514 1404 393

Answer:

  1240 in³

Step-by-step explanation:

The overall dimensions of the block are ...

  10 in by 11 in by 17 in

The volume of that space is ...

  V = LWH = (10 in)(11 in)(17 in) = 1870 in³

The volume of each of the three identical holes is similarly found:

  V = (10 in)(3 in)(7 in) = 210 in³

Then the volume of the block is the overall volume less the volume of the three holes:

  = 1870 in³ - 3(210 in³) = 1240 in³

Answer:

20

Step-by-step explanation:

A=1/2bh

A=1/2(8×5)

A=1/2(40)

A=20

Answer:

0+10i

Step-by-step explanation:

√-100 = √(10 x 10 x -1) = √[(10)^2 x -1] = 10√-1 = 10i

Note : √-1 = i

Answer:

The first answer is 14 marbles.

The second answer is 4 marbles.

Step-by-step explanation:

1. Add as many marbles needed to Carter's pile to match the amount of marbles with Sani's amount to get both amounts to be even.

2. The number of marbles you moved to Carter's pile to make both amounts even is the answer to the second question.

Answer: both boys started with 14 marbles sani’s sister took 4 marbles and gave them to carter

Step-by-step explanation:

If they started with the same amount then sanis sister took some and gave them to carter and made it to where sani now has 18 and carter has 10 it’s simple math.

10 to 18 is 8 in between so split 8 in half and you get 4 so you count down 4 from 18 and you get 14.

There for both boys started with 14 marbles.

To represent this situation algebraically, we can use the formula:

y = mx + b

where y represents the water level in inches, x represents the time in minutes, m represents the rate of change (decrease) in inches per minute, and b represents the initial water level in inches.

We know that the initial water level is 15 inches, and it is decreasing at a rate of 0.5 inches every minute. Therefore, we can write the equation as:

y = -0.5x + 15

where y is the water level in inches and x is the time in minutes.

To find how long it will take for the water level to measure 9 inches deep, we can substitute y = 9 into the equation and solve for x:

9 = -0.5x + 15

Subtracting 15 from both sides, we get:

-6 = -0.5x

Dividing both sides by -0.5, we get:

x = 12

Therefore, it will take 12 minutes for the water level to measure 9 inches deep.

Answer:

i think 6 not sure tho sorry if its worng

The value of Safeco stock given the required return growth rate and the dividend of the stock is $89.60.

The value of the stock can be determined using the constant growth dividend model. According to the model, the value of the stock is a function of the growth rate, dividend and the required return of the stock.

Value of the stock = [dividend x (1 + g)] / (r - g)

where

r = required return

g = growth rate

Value of the stock = [1.60 x (1.12) / (0.14 - 0.12)

Value of the stock = 1.792 / 0.02

Value of the stock = $89.60

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