Mark has a batting average of 0.21 what is the probability he has at least 5 hits his next 7 at bats

The coordinates of the reflected point P' will be (4, -3).

When a point is reflected over the x-axis, its y-coordinate changes sign.

In this case, the point P has coordinates (4,3).

To reflect it over the line x=3, we need to keep its x-coordinate the same and change its y-coordinate to its opposite.

So, the x-coordinate of the reflected point will still be 4, but the y-coordinate will become -3.

Therefore, the coordinates of the reflected point P will be (4, -3).

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Answer:

Step-by-step explanation:

Answer:

1 and 3

Step-by-step explanation:

when u simplify them (using the distributive property) you get

1) 6a+12

3)6a +12

The probability that both players show rock in the first round is 1/9 or 0.1111 (rounded to four decimal places).

In rock, paper, scissors there are three possible outcomes for each player: rock, paper, or scissors. Assuming both players choose randomly and independently of each other, each player has a 1/3 chance of showing rock in the first round.

To find the probability that both players show rock in the first round, we can use the multiplication rule of probability for independent events. The multiplication rule states that the probability of the intersection of two independent events is the product of their probabilities.

Therefore, the probability that both players show rock in the first round can be calculated as follows:

P(both show rock) = P(player 1 shows rock) x P(player 2 shows rock) P(both show rock) = 1/3 x 1/3 P(both show rock) = 1/9

So the probability that both players show rock in the first round is 1/9 or approximately 0.111.

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The total value of the furniture sold by Joyce last week is A = $ 6,733.33

Given data ,

Let's call the value of the furniture Joyce sold "x".

She receives 10% commission on the first $1,200 of sales, which is $120:

Commission on first $1,200 = 0.1 * 1200 = 120

The remaining sales that she earns commission on is the difference between the total value of the furniture sold and the first $1,200:

Remaining sales = x - 1200

She earns 15% commission on the remaining sales, which is 0.15 times the remaining sales:

Commission on remaining sales = 0.15 * (x - 1200)

Her total earnings from commission last week was $950. So we can write an equation:

Commission on first $1,200 + Commission on remaining sales = $950

Substituting the expressions we found for the two commissions, we get:

120 + 0.15(x - 1200) = 950

120 + 0.15x - 180 = 950

On simplifying the equation , we get

0.15x - 60 = 950

0.15x = 1010

x = 6,733.33

Hence , the value of the furniture Joyce sold last week was $6,733.33

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Answer:

None! .7632 is smaller than 9.

Step-by-step explanation:

Using commutative and associative properties of addition, the solution for given expression is -5.

What is commutative and associative property?

The associative and commutative characteristics are universal principles that apply to addition and multiplication. The associative property states that rearranging the numbers will get the same result, while the commutative property states that rearranging the numbers will yield the same result.

These properties tell that one can add in any order, the result will always be the same.

We are given an expression as 8+(-8-5).

So, in this instead of adding from left to right, we can see that the 8 + (-8) will be zero and only -5 will be left as an answer.

Hence, the solution for given expression is -5.

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Answer: $72

Step-by-step explanation:

x = money M had before he bought the hat

0.25x = 18

x = 18/.25 = 72

Answer:

a) P = 26 cm

b) A = 36 cm²

Step-by-step explanation:

perimeter is sum of all sides: 6+4+2+3+4+7 = 26

Area can be found by taking entire area, 7x6, then subtracting out the area of the missing piece, 2x3

A = 42 - 6 = 36 cm²

Answer:

Area is 36 and Perimeter is 26

Step-by-step explanation:

solving area:

4x6=24

3x4=12

24+12=36

solving perimeter:

6+4+2+3+4+7= 26

Therefore, sin(0) = -√305/41 when 0 is an angle in quadrant IV.

Trigonometry is a branch of mathematics that deals with the study of relationships between the angles and sides of triangles. It is used to solve problems in many fields, including engineering, physics, astronomy, and architecture. Trigonometry involves the use of functions such as sine, cosine, and tangent to relate the angles and sides of a right triangle. It also includes the study of trigonometric identities, equations, and graphs, as well as applications of trigonometry in real-world situations.

Here,

If 0 is an angle in quadrant IV, then cosine is positive and sine is negative. We can use the Pythagorean identity to find the value of sin(0):

sin²(0) + cos²(0) = 1

sin²(0) = 1 - cos²(0)

sin(0) = -√(1 - cos²(0))

substituting the given value of cos(0):

sin(0) = -√(1 - (4√47/41)²)

sin(0) = -√(1 - (16*47/41))

sin(0) = -√(1 - 736/41)

sin(0) = -√(305/41)

sin(0) = -(√305)/√(41)

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Rate of steve for baking cookies is

So his rate is 3.67 cookies per hour.

The rate of bonjour for baking cookies is

Hence Steve made cookies with a greater rate.

The volume of the given triangular prism is 384 cm³.

Volume is the measure of the capacity that an object holds.

Formula to find the volume of the object is Volume = Area of a base × Height.

Here, the area of the base is

Area of a rectangle = 1/2 ×Base×Height

= 1/2 ×12×4

= 24 cm²

Now the volume is 24×16

= 384 cm³

Therefore, the volume of the given triangular prism is 384 cm³.

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Answer:

  7.7 seconds

Step-by-step explanation:

Put the given height into the formula and do the arithmetic.

  t = √(290.57/4.9) = √59.3 ≈ 7.7 . . . seconds

The object will take 7.7 seconds to hit the ground.

Step-by-step explanation:

y= bisection of w and z

X= intersection of w and z

z= intersection of X and w

w= intersection of X and z

Answer:

Total amount earned = $500.25

Step-by-step explanation:

Given:

Wage per hour = $11.50

Time worked = 40 hours

Extra time worked = 7 hour

Wage paid per extra hour = $11.50 / 2 = $5.75

Find:

Total amount earned

Computation:

Total amount earned = [Wage per hour][Time worked] + [Extra time worked][Wage paid per extra hour]

Total amount earned = [11.50][40] + [7][5.75]

Total amount earned = [460] + [40.25]

Total amount earned = $500.25

Answer:

The price of the watch is 280$

Step-by-step explanation:

We know that the original price is 400 dollers, and its on sale for 30%.

So we do 30% of 400 = 120$

finally we do, 400$ - 120$ = 280$

so the final price of the watch is 280$

hope this helps

Step-by-step explanation:

a probability is always desired cases over total possible cases.

so, we have actually 8 systems (5 + 3) we can pick from.

therefore, the total possible cases are 8.

the desired case is in this question to pick one of the 3 Wii consoles.

the probability to pick a Wii is therefore

3/8 = 0.375

Answer:

3/8, or 37.5%

Step-by-step explanation:

There are 8 different playing devices there.

There are only 3 Nintendo Wii consoles.

So, the probability is 3/8

Answer:

147 different choices.

Step-by-step explanation:

(7)(3)(7) = 147

Hope this helps

Answer:

reduction

Step-by-step explanation:

Answer:

Step-by-step explanation:

The way to calculate confidence interval for difference in means is given below:

A range of values that, with a certain degree of confidence, are likely to represent the genuine difference between two population means is known as a confidence interval (C.I.) for a difference between means.

They will go out and take a random sample from each population, compute the mean for each sample, and use that information to estimate the difference. The difference between the two means can then be compared.

Hence, Confidence interval = (x1–x2) +/- t*√((sp2/n1) + (sp2/n2))

Example:

Let's say our goal is to determine the variation in mean weight between two turtle species, so we go out and randomly select 15 turtles from each population. The summaries for each sample are as follows:

Sample 1:

x1 = 310

s1 = 18.5

n1 = 15

Sample 1:

x2 = 300

s2 = 16.4

n2 = 15

For 90% Confidence Interval will be"

(310-300) +/- 1.70*√((305.61/15) + (305.61/15))

=  [-0.8589, 20.8589]

For 95% Confidence Interval will be:

(310-300) +/- 2.05*√((305.61/15) + (305.61/15))

=  [-3.0757, 23.0757]

For 99% Confidence Interval will be:

(310-300) +/- 2.76*√((305.61/15) + (305.61/15))

=   [-7.6389, 27.6389]

Hence, for the Difference Between Means interpretation will be: The confidence interval [-3.0757, 23.0757] has a 95% probability of containing the actual difference in mean weight between the two turtle populations.

It's possible that there is no difference in the mean weight of the turtles in these two populations because this interval contains the value "0," which indicates that it's possible.

With regard to the mean weight of the turtles in these two populations, we cannot, therefore, say with 95% confidence that there is a difference.

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This is a contradiction, so our original assumption that g(x) = f(x) must be false. Therefore, the solution is not true algebraically.

What are functions ?

In mathematics, a function is a rule that maps each element in a set (the domain) to a unique element in another set (the range). It is a relation between a set of inputs and a set of possible outputs with the property that each input is related to exactly one output. Functions are commonly represented using function notation, where the symbol "f" is used to represent the function, and the input value is placed inside parentheses. For example, if the function takes the input "x" and returns the output "y"

According to the question:
To prove algebraically that g(x) = f(x), we need to show that the expressions for g(x) and f(x) are equivalent for all values of x. That is, we need to show that:

2x²+3x-1 = x²-3

We can start by simplifying both sides of the equation:

2x²+3x-1 - (x²-3) = 0

Simplifying the left side, we get:

2x²+3x-1 - x²+3 = x²+3x+2

Now we can simplify the right side:

x²+3x+2 = (x+1)(x+2)

Substituting this expression back into the equation, we get:

2x²+3x-1 - x²+3 = (x+1)(x+2)

Simplifying the left side again, we get:

x²+3x-4 = (x+1)(x-4)

Now we have:

(x+1)(x-4) = (x+1)(x+2)

We can cancel out the factor of (x+1) from both sides, since it is not equal to zero for any value of x:

x-4 = x+2

Subtracting x from both sides, we get:

-4 = 2

This is a contradiction, so our original assumption that g(x) = f(x) must be false. Therefore, the solution is not true algebraically.

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√27 - √3

= 3√3 - √3

= 2√3

I think the answer is the second one.

Answer:

We need the length to answer

Step-by-step explanation:

While problem and solution essays are considered expository (writing that exposes facts) in nature, they are persuasive in nature because they call for a solution to a problem.

What is the problem?

A mathematical problem is one that can be modeled, examined, and potentially resolved using mathematical techniques. This can be a practical issue, like figuring out the orbits of the planets in our solar system, or a more theoretical issue, like Hilbert's problems.

The expository essay is a type of essay that calls for the student to research a topic, assess the evidence, elaborate on the topic, and present an argument about the topic in a clear and succinct manner. This can be done by using examples, definitions, comparisons, cause and effect analyses, and more.

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Answer:

d=56, a=129, b=17

Step-by-step explanation:

so 34+d = 90

d is 56

a would be 180-51(supplementary)

so a would be 129

for b, you have to add all 3 angles and they have to equal 180

so it would be 34+129+b=180

b would be 17

Of the 250 total shirts about, the quantity of shirts that should be red would be = 125.

The total quantity of shirts that was ordered by Mr. Torres = 250 school t-shirts

The total quantity of red shirt selected at random = 5

The total quantity of blue shirt selected at random = 13

The total quantity of grey shirt selected at random = 12

Total selected at random = 30

Now if 5 red shirts = 30

X red shirts = 250

make X the subject of formula;

X = 15× 250/30

X = 3750/30

X = 125 red shirts.

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Answer:

Investment is a source of Income.

Self Employment Income

Answer: Business ownership

Step-by-step explanation: took the quiz

Answer:

Step-by-step explanation:

3250 : 156 = y : 40

y = 3250 × 40 : 156

y = 833.(3)                                    3 repeating

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

check

3250 : 156 = 833.(3) : 40

20,83333333333333 = 20,83333333333333

the answer is good

Answer:

Third quadrant

Step-by-step explanation:

To count quadrants, you do it counter-clockwise, so, since the point is in the (negative, negative) quadrant, it is the third one

The interest earned in one year is £44.10.

The initial deposit made by Daniel was £1436.40.

The annual interest rate on this account is 3.07%.

The difference between these two amounts represents the interest earned in one year, as no additional deposits or withdrawals were made.

£1524.60 - £1480.50 = £44.10

Since £44.10 is the interest earned after one year. Let's assume the initial deposit is represented by x.

So, x + £44.10 = £1480.50

x = £1480.50 - £44.10

x = £1436.40

Therefore, the initial deposit made by Daniel was £1436.40.

Annual interest rate = (Interest / Principal) × 100%

Annual interest rate = (£44.10 / £1436.40) × 100%

Annual interest rate = 0.0307 × 100%

Annual interest rate = 3.07%

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