Two minor league baseball players got a total of 360 hits. Washington had 14 more hits than Sanchez. Find the number of hits for each player.
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Part 1
Washington had enter your response here
hits. Sanchez had enter your response here
hits.

Using the normal approximation to the binomial, the probabilities are given by:

a) 0.8485 = 84.85%.

b) 0.0244 = 2.44%.

In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

In this problem, we have that:

The mean and the standard deviation of the approximation are given, respectively, by:

[tex]\mu = np = 600(0.05) = 30[/tex]

[tex]\sigma = \sqrt{np(1-p)} = \sqrt{600(0.05)(0.95)} = 5.3385[/tex]

Item a:

Using continuity correction, the probability is P(X > 24.5), which is one subtracted by the p-value of Z when X = 24.5, hence:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{24.5 - 30}{5.3385}[/tex]

[tex]Z = -1.03[/tex]

[tex]Z = -1.03[/tex] has a p-value of 0.1515.

1 - 0.1515 = 0.8485.

0.8485 = 84.85% probability.

Item b:

This probability is P(X < 19.5), which is the p-value of Z when X = 19.5, hence:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{19.5 - 30}{5.3385}[/tex]

[tex]Z = -1.97[/tex]

[tex]Z = -1.97[/tex] has a p-value of 0.0244.

The probability is of 0.0244 = 2.44%.

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Answer:

6 squared feet

Step-by-step explanation:

The formula is  b X h

so we can see that the base is 8 and the height is 3/4

so now the equation would be

8 x 3/4 which is equal to 6

so the area of this parallelogram is 6

Answer:

WAT = 28

Step-by-step explanation:

6x - 14 = 2x + 14

4x = 28

x = 7

WAT : 2(7) + 14 =

14 + 14 = 28

WAT = 28

I think you meant WAT not MAT right!???

HOPE THIS HELP

The rectangles are similar to DEFG and VWXY

We have given the rectangle ABCD, QRSP, EFGD, and WXYV.

We have the rectangle DEFG and WXVY.

A rectangle is a quadrilateral with four right angles. It can also be defined as an equiangular quadrilateral, since equiangular means that all of its angles are equal; or a parallelogram containing a right angle. A rectangle with four sides of equal length is a square.

If we divide WV by 2 and VY by 2 then we get the side ED and DG

Therefore the given two rectangles are similar.

The rectangles are similar to DEFG and VWXY.

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Answer:

C

Step-by-step explanation:

I Just Took the Test.

Answer:

768.57 / 41.1 = 18.7 m per hr

Step-by-step explanation:

Answer:

216

Step-by-step explanation:

4+2=6

6^3=216

Answer:

25

Step-by-step explanation:

70

(

mi

hr

)

=

70

(

mi

hr

)

y

=

70

(

mi

hr

)

x

hr

=

70

(

mi

hr

)

Answer:

pentagon + irregular polygon

Step-by-step explanation:

has 5 sides + a regular pentagon has all angles equal, this doesn't.

Answer:

10.125

Step-by-step explanation:

Length= 4 1/2 feet

Width= 2 1/4

Area=Length x width

Area=4.5 x 2.25

=10.125

Let me know if this is not correct.

[tex](\stackrel{x_1}{4}~,~\stackrel{y_1}{5})\qquad (\stackrel{x_2}{0}~,~\stackrel{y_2}{8}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{8}-\stackrel{y1}{5}}}{\underset{run} {\underset{x_2}{0}-\underset{x_1}{4}}}\implies \cfrac{3}{-4}\implies -\cfrac{3}{4}[/tex]

[tex]\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{5}=\stackrel{m}{-\cfrac{3}{4}}(x-\stackrel{x_1}{4}) \\\\\\ y-5=-\cfrac{3}{4}x+3\implies y=-\cfrac{3}{4}x+8[/tex]

m    dm    cm    mm

                0        8

8 mm = 0,8 cm

Step-by-step explanation:

48 cm

Answer:

74

Step-by-step explanation:

13x5+9=74

Answer:

C

Step-by-step explanation:

The term range is used when looking for y.

This automatically eliminates the possibility of B and D.

Since y applies only to the vertical aspect of the graph, we can ignore all of the horizontal information (time minutes)

Looking at distance, the bug's lowest point was at 100cm and at its highest point at 400cm

This means the minimum is 100 and maximum is 400

In other words:

100 <= y <= 400

Answer:

C) 100 ≤ y ≤ 400

When we are talking about range, we are talking about y values, so B is disqualified.

When determining range you want the lowest & highest y values.

On this graph the lowest value of y is 100 (seen between 5 and 6 seconds).

The highest value of y is 400 (seen at 8 seconds).

Therefore, 100 ≤ y ≤ 400.

Answer:

3

Step-by-step explanation:

Use the distance formula to determine the distance between two points.

1 pizza = 9 dollars

1 topping = 1 dollar

1. Let's gather the information

2 Pizzas

One pizza is a pepperoni

The other is a mushroom and green pepper

2. Make an equation for the question

x9 + y1 = ?

x = number of pizzas

y = number of toppings

3. Multiply x and y by the number given

2 x 9 + 3 x 1 = ?

2 x 9 + 3 x 1 = 21

Which means, the two pizzas had costed 21 dollars.

Hi!

These can be set up as systems of equations.

Let b = the number of birds, and let d = the number of dogs.

b + d = 21

2b + 4d = 76 (this is because birds have 2 legs and dogs have 4 legs.)

You can solve this using either elimination or substitution.

Consider marking brainliest.

Answer:

The width of pen A is 7 feet,

The Length of Pen A is  11 feet,

The width of Pen B is 6 feet,

The Length of Pen B is 12 feet

Step-by-step explanation:

The width of pen A is 7 feet,

The Length of Pen A is 7 + 4 = 11 feet,

The width of Pen B is 7+4-5 = 6 feet,

The Length of Pen B is 2*(7+4-5) = 12 feet

[tex]w+w+w+w+4+4=(w+4-5)+(w+4-5) +2*(w+4-5)+2*(w+4-5)\\4w+8=6w-6\\14=2w\\w=7\\[/tex]

Answer:

Discriminant is 6.

Step-by-step explanation:

9-2x+3=0

-2x+9+3=0

-2x+12=0

-2x+12-12=0-12

-2x=-12

-2x/-2 = -12/-2

x=6

Answer:

0.86 pound

Step-by-step explanation:

i just asked google:))

Answer:

I agree with cristafers work

Step-by-step explanation:

The new coordinates of S' will be located at (1, 8)  after translating 4 units right and 2 units down.

A graph can be defined as a pictorial representation or a diagram that represents data or values.

Vertical shifting of a graph is done by adding any arbitrary constant to the function in shifting.

For example, If shift up by 1 unit,  add 1 to the function

If shift down by 4 units, subtract 4 from the function

Given that Δ RTS has a vertices R (10,0) S (3,4) And T(4,2)

The original coordinate of S is (3,4).

To determine the image of S' after a vertical transition two units down and a horizontal transition of four units to the right

The y-coordinate will increase by 4 if we move it to the right.

This will then become 4+4 =8.

If we shift it downward, it will become negative and read as -2.

This will then become 3-2 = 1.

So, the coordinate of S' will be located at (1, 8)

Hence, the new coordinates of S' will be located at (1, 8)  after translating 4 units right and 2 units down.

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Answer:

answer is 0.025

Step-by-step explanation:

answer is 0.025

Answer:

a) [tex]1\frac{1}{4}[/tex]

b) [tex]46.69[/tex]

Step-by-step explanation:

a) To evaluate the value of this long expression, we can split it up into parts that are easy to calculate. [tex]2\frac{1}{3}+\frac{1}{2}-\frac{1}{12}[/tex] is equal to [tex]2+\frac{4}{12}+\frac{6}{12}-\frac{1}{12}[/tex] and since the fractions have the same denominators, you can add the numerators and keep the denominators. This would result in [tex]2\frac{9}{12}[/tex], which is [tex]2\frac{3}{4}[/tex] simplified. So, now we know that the first parentheses are equal to [tex]2\frac{3}{4}[/tex]. Next, we have to calculate [tex]2(\frac{1}{3}+\frac{1}{4})[/tex]. Using the distributive property to expand, we reach [tex]\frac{2}{3}+\frac{2}{4}[/tex] and we bring them both with a denominator of 12 and add to get [tex]\frac{7}{6}[/tex]. Finally, the last square root is equal to [tex]\frac{1}{3}[/tex] because [tex](\frac{1}{3})^2[/tex] is equal to [tex]\frac{1}{9}[/tex]. To find our final answer we put all of our answers together in the expression [tex]2\frac{3}{4}-\frac{7}{6}-\frac{1}{3}[/tex]. Bring all of these fractions to a denominator of 12 to get: [tex]2\frac{9}{12}-\frac{14}{12}-\frac{4}{12}[/tex]. We combine to get [tex]1\frac{1}{4}[/tex].

b) Similar to the previous part, we can split this expression into two parts to make it more manageable; [tex]-4.9(-12+\sqrt{0.81})[/tex] and [tex](2.2)^2*1.59[/tex]. Once we find the value of each, we will get our final answer by subtracting the second from the first (as shown in the expression). [tex]-4.9(-12+\sqrt{0.81})[/tex] is equal to [tex]-4.9(-12+0.9)[/tex] which is [tex]-4.9*-11.1[/tex] which is [tex]54.39[/tex]. [tex](-2.2)^2*1.59[/tex] is equal to [tex]4.84*1.59[/tex] which is [tex]7.6956[/tex]. To get the final answer, we do [tex]54.39-7.6956[/tex] which is [tex]46.6944[/tex]. Rounded to the nearest hundredth, it is [tex]46.69[/tex].

Hope this helps :)

Answer:

(a). 0.0678.

(b). 0.01356

(c). 11.1

(d). 33.3

Step-by-step explanation:

So, we are given the following data or parameters that is going to help us or assist us in solving this particular problem or Question.

(1). We are given from the question that the archer to hit a bull’s-eye, the probability will be 0.09.

(2). "the results of different attempts can be taken to be independent of each other".

Therefore, let us delve right into the solution to the question.

(a). The probability that the first bull’s-eye is scored with the fourth arrow = P(a= 4) = P × ( 1 - P)^a -1.

P(a = 4) = 0.09 × (1 - 0.09) ^4 - 1.

P(a= 4) = 0.0678.

(b). The probability that the third bull’s-eye is scored with the tenth arrow = P(b= 10, y = 3).

P(b= 10, y = 3) = 36 (0.91)^7 × ( 0.09)^3 = 0.01356.

(c). The expected number of arrows shot before the first bull’s-eye is scored = 1/0.09 = 11.1.

(d). The expected number of arrows shot before the third bull’s-eye is scored = 3/0.09 = 33.3.

Answer:

The answer is D.

Step-by-step explanation:

Key:

1 dime = $0.10

1 nickel = $0.05

Solve:

A. 70+10=80

B. 60+10=70

C. 50+15=65

D. 60+15=75, so D is correct.

Answer:

Its 21 on edenuity

Step-by-step explanation:

Answer:

21

Step-by-step explanation:

Hey there!

To find the number that's one-fourth of 360, we should just divide 360 by 4 and get 90.

There's also another way - multiplying fractions.

[tex]\bold{\displaystyle\frac{1}{4} *\frac{360}{1}}[/tex]

In order to multiply fractions, we just multiply the numerator of one fraction times the numerator of the other one; same with the denominator.

Look what happens when I multiply:

[tex]\bold{\displaystyle\frac{360}{4}}[/tex]

We can use mental maths to solve it.

Hence, the answer's 90.

Hope everything is clear.

Let me know if you have any questions!

#KeepLearning

#NeverGiveUp

:-)

[tex]\bold{Somebody~Who~Loves~Helping~Others:-)}[/tex]

Answer:

5

Step-by-step explanation:

The square root of 29.16 is approximately 5.4. Therefore, the square root of √ 3⁶/²⁵ is approximately 5.4.

The square root of a number is a value that, when multiplied by itself, gives the original number.

To find the square root of √ 3⁶/²⁵, we can break it down into simpler steps.

Step 1: Simplify the expression inside the square root. √ 3⁶/²⁵ can be simplified as follows: √(3⁶ / 5²)

Step 2: Simplify the numerator and the denominator separately.

The numerator is 3 raised to the power of 6, which means multiplying 3 by itself six times:

[tex]3^6[/tex] = 3 × 3 × 3 × 3 × 3 × 3 = 729

The denominator is 5 raised to the power of 2, which means multiplying 5 by itself two times: [tex]5^2[/tex] = 5 × 5 = 25

So, the expression becomes: √(729 / 25)

Step 3: Simplify the expression inside the square root.

√(729 / 25) = √(29.16)

Step 4: Find the square root.

The square root of 29.16 is approximately 5.4. Therefore, the square root of √ 3⁶/²⁵ is approximately 5.4.

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