Assume that adults have IQ scores that are normally distributed with a mean of 100 and a standard deviation of 15. Find Upper P 40​, which is the IQ score separating the bottom 40​% from the top 60​%. Round your answer to nearest tenth.

Answer:

not sure but hope you find what your looking 4

Step-by-step explanation:

Answer:

1/5x

Step-by-step explanation:

1/5x

Answer:

7

Step-by-step explanation:

Angie has $20 to spend on juice boxes for her son’s preschool picnic.

Each pack of juice boxes costs $2.63.

Here,

20 divided by 2.63 = 7.6 (approx)

Thus, the maximum number of 7 packs she can buy

Answer:

7 is the answer dear.........

The probability that a subject would guess more than 20 correct in a series of 36 trials is 0.0001

In a series of 36 trials, if the subject is guessing randomly, then the probability of correctly guessing odd or even is 1/2.

Let X be the number of correct guesses in a series of 36 trials. X follows a binomial distribution with parameters n = 36 and p = 1/2.

The probability of guessing more than 20 correct is:

P(X > 20) = 1 - P(X ≤ 20)

Using a binomial distribution table, we can find that P(X ≤ 20) = 0.9999 (rounded to four decimal places).

Therefore: P(X > 20) = 1 - 0.9999 = 0.0001

So the probability that a subject would guess more than 20 correct in a series of 36 trials is 0.0001 (rounded to four decimal places).

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Heuristic is 0 for every city Heuristic is 1 for every city Selecting an inadmissible heuristic has a -50% penalty.

To find the shortest path to a destination city from a start city using roads (e.g., traveling from Arad to Bucharest) using A* search, the following heuristics are admissible:

Manhattan distance ("go first east/west and then north/south") between a city and start city.

Euclidean distance ("as the crow flies") between a city and destination city.

Euclidean distance ("as the crow flies") between a city and start city.

Manhattan distance ("go first east/west and then north/south") between a city and destination city.

The following heuristics are inadmissible:

Twice the Euclidean distance ("as the crow flies") between a city and destination city.

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Answer:31/36

Step-by-step explanation:

we should find greatest common divisor(GCD) ,

GCD(12,18)=36

7/12=7*3/36=21/36

5/18=5*2/36=10/36

21/36+10/36=31/36

Answer:

31/36

Step-by-step explanation:

1) Find the Least Common Denominator (LCD) of \(\frac{7}{12}\), \(\frac{5}{18}\). In other words, find the Least Common Multiple (LCM) of 12, 18.

1) List the multiples of each number

Multiples of 12: 12, 24, 36, ...

Multiples of 18: 18, 36, ...

2) Find the smallest number that is shared by all rows above. This is the LCM.

LCM = 36

1) List the prime factors of each number.

Prime Factors of 12: 2, 2, 3

Prime Factors of 18: 2, 3, 3

2) Find the union of these primes.

2, 2, 3, 3

3) Multiply these number: 2 x 2 x 3 x 3 = 36. This is the LCM.

LCM = 36

STEP 2: Make the denominators the same as the LCD.

\(\frac{7\times3}{12\times3} +\frac{5\times2}{18\times2}\)

3) Simplify. Denominators are now the same.

\(\frac{21}{36} +\frac{10}{36}\)

4) Join the denominators.

\(\frac{21+10}{36}\)

5) Simplify.

\(\frac{31}{36}\)

Thank you,

Eddie.

Answer:

5 =x

Step-by-step explanation:

10(x-1)-7x=x

Distribute

10x-10-7x = x

Combine like terms

3x-10 =x

Subtract 3x from each side

3x-10-3x = x-3x

-10 = -2x

Divide each side by -2

-10/-2 = -2x/-2

5 =x

Answer:

a rectangle has one side ,L1 and the other side L2  the area of a rectangle is A=L1 .L2  

Step-by-step explanation

We know that L1 =14  and we know that A=98

Answer:

Step-by-step explanation:

You want to know if David's solution of -2x for (5x-4) -(3x) is correct, and what David should have done.

David's solution is correct up to Step 4.

At that point, it appears as though David treated -4 as if it were -4x. The constant cannot be combined with x terms. Step 4 should have been ...

  Step 4: (5 -3)x -4 = 2x -4

David's incorrect solution should have been 2x -4.

Answer:

21°

Step-by-step explanation:

In an sosceles trapezoid, the lower base and upper base angles are congurent

⇒ ∠HGF = ∠EFG

⇒ 9y + 3 = 8y + 5

⇒ 9y - 8y = 5 - 3

⇒ y = 2

⇒ ∠HGF = 9(2) + 3

= 18 + 3

= 21

The measure of angle HGF in the given isosceles trapezoid EFGH is calculated to be 21 degrees.

This problem deals with the properties of an isosceles trapezoid, which is a type of quadrilateral. In an isosceles trapezoid, opposite angles are equal. In this case, angle EFG and angle HGF would be equal to each other given the shape is an isosceles trapezoid. So, their measures should be equal.

Here, the measure of angle HGF is given as (9y + 3)°, and the measure of angle EFG is (8y + 5)°. Setting these equal to each other to find the value of y, we get 9y + 3 = 8y + 5. By simplifying, we get the value of y is 2. Substituting the found value of y in angle HGF we get, 9*2+3 = 21 degrees.

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Hello !

Answer :

Explanation :

\( \to \boxed{ ({x}^{a}) {}^{b} = {x}^{ab} } \)

\( \to \boxed{ {x}^{ \frac{1}{n} } {}^{} = \sqrt[n]{x} } \)

\( ({x}^{4} ) {}^{ - \frac{2}{3} } = {x}^{- \frac{2}{3} \times 4} \\ \boxed{= {x}^{ - \frac{8}{3} } } \\ \boxed{= \sqrt[3]{ {x}^{ - 8} }} \\ \boxed{ = \sqrt[3]{ ({x}^{ 4}) {}^{ - 2} }}\)

Have a nice day ;)

Answer: 375

Step-by-step explanation:

Ruling out each number:

6: In the first two rows, the 6's placement did not change but the clue did, meaning that it is talking about a different number. Otherwise, it would say it's in the right place twice or in the wrong place twice.

3 & 5: Since we know 6 is already ruled out, both 5 & 3 would have to be correct.

2 & 4 & 8: Is proven wrong in the 4th clue.

7: 7 would have to be in the middle since the second clue says it's in the wrong place. If it was 1, it would say it's in the right space.

1: Is proven wrong after 7 is proven true.

Figuring out placement:

5: For the first clue, it says that it's in the correct place meaning that 5 is the last digit.

3: For both of the times 3 appears, it is in the wrong spot, revealing that it's the first digit.

7: In the second clue, it could either be 1 or 7. However, since 3 took the first spot and 5 took the last spot, 7 would have to be in the middle since the clue says it's in the wrong place. If it was 1, it would say it's in the right space.

Answer:

what answer do you want from me

Step-by-step explanation:

please mark me as

Answer:

Step-by-step explanation:

Multiply and simplify:

From the final polynomial we can see that:

So all the coefficients are positive but the constant d is negative

\(\\ \sf\longmapsto (x-1)(x+2)(x+3)\)

\(\\ \sf\longmapsto (x-1)\left\{(x+2)(x+3)\right\}\)

\(\\ \sf\longmapsto (x-1)(x^2+5x+6)\)

\(\\ \sf\longmapsto x(x^2+5x+6)-1(x^2+5x+6)\)

\(\\ \sf\longmapsto x^3+5x^2+6x-x^2-5x-6\)

\(\\ \sf\longmapsto x^3+4x^2+x-6\)

Answer:

Step-by-step explanation:

The equation of the line with the given points is y = 6x - 4. This can be derived by calculating the slope of the line, which is 6, and then using the point-slope form of the equation of a line, y - y1 = m(x - x1), where m is the slope and (x1, y1) is a point on the line. In this case, the given points are (x1, y1) = (1, 10), so the equation of the line is y - 10 = 6(x - 1) or y = 6x - 4.

Answer y == 3

+7

Step-by-step explanation:

The graph of a linear relationship contains the points (1, 10) and (3, 16).

Write the equation of the line in slope-intercept fo

Step-by-step explanation:

the general slope-intercept form is

y = ax + b

a is the slope, which is the ratio of "y coordinate change / x coordinate change" when going from one point to another on the line.

b is the y-intercept - the y value when x = 0.

for the slope we see

x changes by +2 (from 1 to 3)

y changes by +6 (from 10 to 16)

so, the slope a is +6/+2 = 3

and the semi-ready equation is

y = 3x + b.

now we use one of the points in the equation to solve for b. I picked (1, 10) :

10 = 3×1 + b = 3 + b

b = 7

so, the full equation is

y = 3x + 7

Answer:

a) x = 12  y = 9

b) x = -2   y = -4

c) x = 6   y = -2

Step-by-step explanation:

a)

Equation 1:  6x - 7y = 9

Equation 2:  3x + 2y = 54

Multiply Equation 2 by 2:

⇒ 6x + 4y = 108

Subtract equations:

   6x + 4y = 108

-    6x - 7y = 9      

           11y = 99

Divide both sides by 11:

⇒ y = 9

Substitute found value of y into Equation 1 and solve for x:

⇒ 6x - 7(9) = 9

⇒ 6x - 63 = 9

⇒ 6x = 72

⇒ x = 12

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

b)

Equation 1:  4x - 5y = 12

Equation 2:  2x - 3y = 8

Multiply Equation 2 by 2:

⇒ 4x - 6y = 16

Subtract equations:

   4x - 6y = 16

-   4x - 5y = 12      

           -y = 4

Divide both sides by -1:

⇒ y = -4

Substitute found value of y into Equation 1 and solve for x:

⇒ 4x - 5(-4) = 12

⇒ 4x + 20 = 12

⇒ 4x = -8

⇒ x = -2

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

c)

Equation 1:  4x - 2y = 28

Equation 2:  3x + 3y = 12

Multiply Equation 1 by 3:

⇒ 12x - 6y = 84

Multiply Equation 2 by 4:

⇒ 12x + 12y = 48

Subtract equations:

     12x - 6y = 84

-   12x + 12y = 48  

            -18y = 36

Divide both sides by -18:

⇒ y = -2

Substitute found value of y into Equation 1 and solve for x:

⇒ 4x - 2(-2) = 28

⇒ 4x + 4 = 28

⇒ 4x = 24

⇒ x = 6

Answer:

-2

Step-by-step explanation:

bc math

Answer:

-2

Step-by-step explanation:

\(=\frac{-2}{3} \times\frac{3}{1}\)

\(=\frac{-2 \times3}{3\times1}\)

\(=\frac{-6}{3}\)

\(=\frac{-6 divided by 3}{3dividedby3}\) or = -6÷3/3÷3

\(=-2\)

Answer:

y = 5^(x+1)

Step-by-step explanation:

y = 5^(x+1)

x = 1 for the initial step

The values of f(x) for the given x - values rounded to 4 decimal places are 0.0078, 0.0078, 0.0020, 0.0020, 0.0019 and 0.0013 respectively

Given the function :

Substitute the given value of x to obtain the corresponding f(x) values :

x = -0.6

f(x) = (tanπ(-0.6))/7(-0.6) = 0.0078358

x = -0.51

f(x) = (tanπ(-0.51))/7(-0.51) = 0.0078350

x = -0.501

f(x) = (tanπ(-0.501))/7(-0.501) = 0.001967

x = -0.5

f(x) = (tanπ(-0.5))/7(-0.5) = 0.001959

x = -0.4999

f(x) = (tanπ(-0.4999))/7(-0.4999) = 0.001958

x = 0.499

f(x) = (tanπ(-0.499))/7(-0.499) = 0.001951

x = -0.49

f(x) = (tanπ(-0.49))/7(-0.49) = 0.00188

x = -0.4

f(x) = (tanπ(-0.4))/7(-0.4) = 0.00125

Therefore, values which complete the table are 0.0078, 0.0078, 0.0020, 0.0020, 0.0019 and 0.0013

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Answer:

1. set up the equations:

a. total cost: 75x + 95y = 1800

b. total hours: x + y = 20

2. use substitution:

a. x + y = 20 → x = 20 - y

3. plug in value of x:

a. 75(20 - y) + 95y = 1800

4. distribute (75).

1500 - 75y + 95y = 1800

5. combine like terms:

20y = 300

6. divide:

y = 15

7. plug in y to other equation to get x:

x + 15 = 20

8. solve:

x = 5

1st mechanic (x) worked 5 hours

2nd mechanic (y) worked 15 hours

hope this helps :)

Answer:

The first mechanic worked 5 hours and the second worked 15

Step-by-step explanation:

Let h = hours for first mechanic

j = hours for second mechanic

h+j = 20

75h + 95 j = 1800

Multiply the first equation by -75

-75(h+j = 20)

-75h -75j = -1500

Add this to the second equation to eliminate h

75h + 95 j = 1800

-75h -75j = -1500

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

0 + 20j = 300

Divide by 20

20j/20 = 300/20

j = 15

Now gind h

h+j = 20

h +15 = 20

h = 5

Answer:

14

Step-by-step explanation:

The probabilities are, 1) 0.25, 2) 0.25, 3) 0.5, 4) 0.5 and 5) 0.25

1) Calculating the ratio of favorable outcomes (blue or green marbles) to all possible outcomes (marbles) can help us determine the likelihood of pulling a blue or green marble from the given bag.

There are a total of 20 marbles in the bag:

3 blue marbles, 2 green marbles, 8 yellow marbles, 4 red marbles, and 3 orange marbles.

Favorable results equal 3 (blue) + 2 (green), which adds up to 5 (blue or green marbles).

The likelihood of drawing a blue or green marble is thus:

Probability = Positive results / Total results = 5 / 20 = 1/4 = 0.25

2) There are 52 cards altogether in a normal deck, with 13 cards in each of the four suits (hearts, diamonds, clubs, and spades).

Calculating the ratio of the number of hearts to the total number of cards is necessary because we want to know the likelihood of selecting a card that has a heart on it.

There are 13 hearts total.

As a result, the likelihood of selecting a card with a heart on it is:

Probability is calculated as follows: 13/52 (the number of hearts) or 1/4 (0.25).

3) You need to know the total number of possible outcomes as well as the number of favorable outcomes if you have the choice of receiving an A, B, C, or F for a paper and you want to calculate the likelihood of receiving an A or B.

There are four alternative outcomes in this situation (A, B, C, and F), and there are two (A and B) that are more favorable.

Consequently, the likelihood of receiving an A or B on the paper is:

P(A or B) = Number of positive results / Total number of possible results = 2 / 4 = 0.5

4) There are only two outcomes that can occur when a fair coin is flipped: heads or tails.

Since the coin is impartial and fair, there is an equal chance of receiving heads or tails.

The likelihood of achieving a heads or tails result on a coin flip is therefore:

Probability = 1 (number of favorable outcomes) / 2 (total number of possible outcomes) = 1/2 = 0.5

5) Calculate the ratio of the number of favorable outcomes (pulling a 3 or a 7) to the total number of possible outcomes (all numbers) if the bag includes the numbers 1–8 inclusive and we want to know the likelihood of drawing a 3 or a 7.

The bag has the following sum of numbers: 8 total numbers

If you draw a 3 or a 7, you have the following chances of success:

Positive results: 2 (3 and 7).

As a result, the likelihood of getting a 3 or a 7 is:

Probability = Positive results / Total results = 2 / 8 = 1/4 = 0.25

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The perimeter of the composite shape, to the nearest hundredth, is calculated as: 25.85 ft.

The figure given is a composite shape that consists of a triangle, semicircle and a square. Therefore, the perimeter is the total length surrounding the composite shape.

To find the Perimeter, find the the circumference of the semicircle:

Circumference of semicircle = 1/2(2πr) = πr

= 3.14 * 2.5 [note: r is the radius which is half of 5 ft]

Circumference = 7.85 ft

Perimeter of the shape = 7.85 + 5 + 5 + 2 + 6

Perimeter of the shape = 25.85 ft

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Answer: 12.56

Step-by-step explanation: 3.14 x 1/2 of 4 x 2

There is only 1 possible 11-card hand that can be formed from a 20-card deck.

To determine the number of 11-card hands possible with a 20-card deck, we can use the concept of combinations.

The number of combinations, denoted as "nCk," represents the number of ways to choose k items from a set of n items without regard to the order. In this case, we want to find the number of 11-card hands from a 20-card deck.

The formula for combinations is:

nCk = n! / (k!(n-k)!)

Where "!" denotes the factorial of a number.

Substituting the values into the formula:

20C11 = 20! / (11!(20-11)!)

Simplifying further:

20C11 = 20! / (11! * 9!)

Now, let's calculate the factorial values:

20! = 20 * 19 * 18 * ... * 2 * 1

11! = 11 * 10 * 9 * ... * 2 * 1

9! = 9 * 8 * 7 * ... * 2 * 1

By canceling out common terms in the numerator and denominator, we get:

20C11 = (20 * 19 * 18 * ... * 12) / (11 * 10 * 9 * ... * 2 * 1)

Performing the multiplication:

20C11 = 39,916,800 / 39,916,800

Finally, the result simplifies to:

20C11 = 1

Consequently, with a 20-card deck, there is only one potential 11-card hand.

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\(38.07 = \frac{9}{100} x\)

\(38.07 \times \frac{100}{9} = x\)

\( \frac{3807}{9} = x\)

\(423 = x\)

Answer:

423

Step-by-step explanation:

Use proportions to get (38.07/9) = (x/100). Cross multiply to get 3807 = 9x. Divide 3807 by 9 to get 423.

Answer:

x = 3 ; y = 2

Step-by-step explanation

3x - y = 7

= 3x - y - 7 = 0

= 3x - 7 = y — (equation i)

Substitute (equation i) into the second equation:

3x + (3x - 7) = 11

Expand the brackets by applying the Distributive Law and bring all the like terms together:

3x + 3x - 7 = 11

= 6x - 7 = 11

= 6x = 11 + 7

= 6x = 18

= x = \(\frac{18}{6}\)

= x = 3

Substitute the calculated value of x into (equation i) to determine the value of y:

3 x - 7 = y

= 3(3) - 7 = y

= 9 - 7 = y

= y = 2

Answer:

21.3 seconds

Step-by-step explanation:

PLS GIVE BRAINLIEST

Answer:

21.3 seconds

Step-by-step explanation:

600 ft (200 yds x 3) divided by 90 ft (length to a base) would be 6.6666667

6.6666667 times 3.2 equals 21.3

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