Which answers would be possible first steps?

The required experimental probability that the next batter will get a hit is 2/11.

A number that indicates how likely an event is to occur is called its probability. It is communicated as a number in the reach from 0 and 1, or, utilizing rate documentation, in the reach from 0% to 100 percent. The higher the probability, the more likely the event is to occur.

The experimental probability of an event happening is defined as the number of times the event occurs divided by the total number of trials or events.

In this case, we are given that 4 out of 22 batters have gotten a hit so far. Therefore, the experimental probability that the next batter will get a hit is:

P(hit) = Number of hits / Total number of batters

P(hit) = 4/22

Simplifying:

P(hit) = 2/11

Therefore, the experimental probability that the next batter will get a hit is 2/11.

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Answer:

\(t=\frac{11.5-10}{\frac{4.5}{\sqrt{100}}}=3.333\)    

Critical value

The significance is 5% so then \(\alpha=0.05\) and \(\alpha/2=0.025\) then the critical value for this case would be \( z_{\alpha/2}= 1.64\). Since the calculated value is higher than the critical value we have enough evidence to reject the null hypothesis and we can conclude that the true mean is higher than 10 mg

P value

The p value would be given

\(p_v =P(z>3.333)=0.000434\)  

Since the p value is lower than the significance level we have enough evidence to reject the null hypothesis and we can conclude that the true mean is significantly higher than 10 mg

Step-by-step explanation:

Information given

\(\bar X=11.5\) represent the sample mean

\(\sigma=4.5\) represent the population standard deviation

\(n=100\) sample size  

\(\mu_o =10\) represent the value that we want to test

\(\alpha=0.05\) represent the significance level for the hypothesis test.  

t would represent the statistic

\(p_v\) represent the p value

Hypothesis to test

We want to test if the true mean is higher than 10mg, the system of hypothesis would be:  

Null hypothesis:\(\mu \leq 10\)  

Alternative hypothesis:\(\mu > 10\)  

the statistic for this case would be given by:

\(t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}\)  (1)  

Replacing we got:

\(t=\frac{11.5-10}{\frac{4.5}{\sqrt{100}}}=3.333\)    

Critical value

The significance is 5% so then \(\alpha=0.05\) and \(\alpha/2=0.025\) then the critical value for this case would be \( z_{\alpha/2}= 1.64\). Since the calculated value is higher than the critical value we have enough evidence to reject the null hypothesis and we can conclude that the true mean is higher than 10 mg

P value

The p value would be given

\(p_v =P(z>3.333)=0.000434\)  

Since the p value is lower than the significance level we have enough evidence to reject the null hypothesis and we can conclude that the true mean is significantly higher than 10 mg

Answer:

Just use the tangent and plug in 68 into your calculator.

Step-by-step explanation:

The tangent defines the relationship between the 2 perpendicular legs of a right triangle.

Answer: The answer is 14.55

Step-by-step explanation:

Answer:

1,164 ÷ 80 is equal to 14.55.

Answer:

D. 11

Step-by-step explanation:

The bars around the expression represent absolute value. Absolute value is the distance between a number and zero. Since a distance is always positive the absolute value of a number is that number but positive.

So, to solve this expression, first, subtract 8 from -3, -3-8 equals -11. The absolute value of -11 is 11.

answer: look for a common Multiple

The answer is option two, "S" represents one and "R" represents five

Answer:

27/4 or 6 3/4

Step-by-step explanation:

Change all mixed numbers into improper fractions

2 1/9 = 19/9

6 1/4 = 25/4

19/9 ÷ 2/3 - 25/4 x 2/5

dividing fractions you can multiply and use reciprocal of the fraction (means you switch the top and bottom numbers)

19/9 x 3/2 - 25/4 x 2/5

you can reduce the top and bottom numbers to make them smaller by dividing. find a common number to divide them by, you can cross out the numbers and just put the new equation below

19/3 x 1/2 - 5/4 x 2/1

multiply across the fractions first PEMDAS, then subtract

19/6 - 10/4 (multiply by 2 and 3 respectively to get both bottom numbers the same, multiply by the same number on top)

57/12 - 30/12 = 27/12

1/5 x 1/3 + 2/5 x 2/3

1/15 + 4/15 = 5/15 or 1/3

27/12 / 1/3

you can multiply the fractions and flip the top and bottom numbers of 1/3

27/12 x 3/1

reduce 12 and 3

27/4 x 1/1 = 27/4 or 6 3/4

Answer:

Step-by-step explanation:

I'm assuming you're trying to solve this for x. We use the difference identity for cosine and rewrite:

\(cos(x-30)=cosxcos30+sinxsin30\) and simplify using the unit circle to help.

\(cosx(\frac{\sqrt{3} }{2})+sinx(\frac{1}{2})=0\\cosx(\frac{\sqrt{3} }{2})=-\frac{1}{2} sinx\\cosx=-\frac{1}{2}(\frac{2}{\sqrt{3} })sinx\\cosx=-\frac{1}{\sqrt{3} }sinx\\1=-\frac{1}{\sqrt{3} }\frac{sinx}{cosx}\\1=-\frac{1}{\sqrt{3} }tanx\\-\sqrt{3} =tanx\)

and on the unit circle, the angle where the tangent is negative square root of 3 is -60° which is also a positive 300°

Answer:

x = n*360° + 120°      or     x = n*360° + 300°

Step-by-step explanation:

cos(x-30°)=0

x-30° = 90° or x-30° = 270°

it means can be : x-30° = n*360° + 90°    or    x-30° =n*360° + 270°

x = n*360° + 120°      or     x = n*360° + 300°   n is integers

The surface area of a square pyramid net can be found by adding the areas of the base and the four triangular faces.

First, find the area of the base by multiplying the length and width of the square base.

Area of base = length × width

Next, find the area of one of the triangular faces by using the formula:

Area of triangle = 0.5 × base × height

Since there are four triangular faces in a square pyramid, multiply the area of one triangle by four to find the total area of the triangular faces.

Area of triangular faces = 4 × (0.5 × base × height)

Finally, add the area of the base and the area of the triangular faces to find the total surface area of the square pyramid net.

Surface area = Area of base + Area of triangular faces

= (length × width) + (4 × (0.5 × base × height))

= (length × width) + (2 × base × height)

So, the surface area of a square pyramid net is the sum of the area of the base and the area of the four triangular faces.

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Given:

89.3%

To convert into decimal:

Hence, the answer is 0.893.

Answer:

20

Step-by-step explanation:

Answer:

3626 i hope this is correct sorry if it is not

Step-by-step explanation:

Answer:

34

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

f(1) means what is the value when x=1. y is at 5.

Answer:

f(1)=5

Step-by-step explanation: If you plug in 1 for x on the graph, then y is equal to 5.

Answer:

I believe it is 20 minutes.

Step-by-step explanation:

It takes 1 hour for Danielle to run 3 miles ahead of David.  You would have to divide 3 hours by 3 which is 1 mile. You have to do the same for the time it took to run 3 miles ahead (1 hour).  1 hour = 60 minutes and 60 divided by 3 is 20. This means it should take Danielle 20 minutes to be 1 mile ahead of David.

Hope this explanation helps!

Answer:

10 minutes

Step-by-step explanation:

I've had the same question, and although the other answer was correct, the question asked how long it would take to be 1/2 mile ahead, so I guess you'd do 20 divided by 2 in order to get the correct answer. Hopefully this helps you, if not, ignore me :)

A polynomial function of least degree with a leading coefficient of 1 and zeroes at -2, 3, 6 is given by:  "f(x) = (x + 2)(x - 3)(x - 6) = x^3 - x^2 - 9x - 12)".

According to the Factor Theorem, k is a zero of a given polynomial function f (x), if and only if (x - k) is a factor of the given polynomial function f(x).

Since -2,3 and 6 are zeros to be given of f (x), so

you need to put -2,3 and 6 in (x - k)

such as

f (x) =  { (x - k) (x - k) (x - k) }

     =  { (x - (-2) (x - 3) (x - 6) }

      =  {(x+2) (x-3)(x-6) }

      =  {( x^3 - x^2 - 9x - 12) }

'f(x) = { (x^3 - x^2 - 9x - 12) }' is the required polynomial function.

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The true statements for the given function f(x) are:

The value of g(1) is 3 and the y- intercept of g(x) is at the point (0, 1) .

The function g(x) = f( x - 3 )

g (1) = f (1 -3 )

       = f (-2 )

       = 3

g (-1) = f (-1 -3)

       = f (-4)

       = - 1

Substituting , x = 0 to find the y intercept of g(x)

g ( 0 ) = f ( 0 - 3)

          =f (-3)

          =1

The y intercept of g(x) is at the point (0, 1)

Thus, options 1 and 4 are the true statements for the given function.

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The point-slope form is y - y₁ = m(x - x₁), where (x₁, y₁) represents the given point and m is the slope. The equation of the line that is perpendicular to y = -2x + 4 and passes through the point (4, 2) is given by option D: y = -2x.

To determine which equation represents a line perpendicular to y = -2x + 4 and passes through the point (4, 2), we need to consider the slope of the given line. The equation y = -2x + 4 is in slope-intercept form (y = mx + b), where the coefficient of x (-2 in this case) represents the slope of the line.

Since we are looking for a line that is perpendicular to this given line, we need to find the negative reciprocal of the slope. The negative reciprocal of -2 is 1/2. Therefore, the slope of the perpendicular line is 1/2.

Now, we can use the point-slope form of a line to find the equation. The point-slope form is y - y₁ = m(x - x₁), where (x₁, y₁) represents the given point and m is the slope.

Substituting the values (4, 2) for (x₁, y₁) and 1/2 for m, we get:

y - 2 = (1/2)(x - 4).

Simplifying this equation, we find:

y - 2 = (1/2)x - 2.

Rearranging the terms, we obtain:

y = (1/2)x.

Therefore, option D, y = -2x, represents the equation of the line that is perpendicular to y = -2x + 4 and passes through the point (4, 2).

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Answer:

900 - 0.6s ≤ 100 + 0.73s

Step-by-step explanation:

The left side is the equation for the first barrel containing 900L and draining at 36L/minute. This means that it drains 0.6L/second.

The right side of the equation is for the second barrel containing 100L and filling at 44L/minute. This means that it fills at 0.73L/second.

Answer:

9\(\sqrt{2}\)

Step-by-step explanation:

9^2 = 81

81 + 81 = 162 = 9\(\sqrt{2}\)

Therefore , the solution of the given problem of linear equation comes out to be 550 minutes she can use her cell phone.

A linear regression model is one that conforms to the algebraic equation y=mx+b. The slope is B, and the y-intercept is m. The previous clause is usually referred to as an "mathematical equation having two variables because both y and x are unique parameters. Two variables make up bivariate linear equations. Linear equations have a variety of applications, all of which have a zero outcome. Y=mx+b, where m stands for the gradient and b for the y-intercept, is the formula for a linear equation.

Here,

Given : 55=0.1(m-500)+50

where m is the number of minute

=> 55=0.1(m-500)+50

=> 55=0.1m-50+50

=>55=0.1m-0

=>55-0=0.1

=>55=0.1

=>0.1=0.1

=>550=m

Therefore , the solution of the given problem of linear equation comes out to be 550 minutes she can use her cell phone.

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Answer:

It is 1

Step-by-step explanation:

Answer:

Step-by-step explanation:

if you multiply a negative number with another negative number, it will be positive: ( - ) x ( - ) = ( + )

and if you multiply a negative number with a positive number, it will be negative: ( - ) x ( + ) = ( - )

so          -(-4) = 4                  and             +(-9) = -9

-5+9-4+4-9-12+7=-10

I hope this helps

The absolute value function for this problem is given as follows:

g(x) = |x - 1| - 2.

An absolute value function of vertex (h,k) is defined as follows:

y = a|x - h| + k.

In which a is the leading coefficient.

The coordinates of the vertex for this problem are given as follows:

(1, -2).

As the slope of the line is of 1, the leading coefficient is given as follows:

a = 1.

Hence the absolute value function for this problem is given as follows:

g(x) = |x - 1| - 2.

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Answer:

solution:

relation between perpendicular and base is given by tan angle

so

\( \tan(ø) \)=perpendicular/base=4/13

ø=tan-¹ (4/13)=17.10°

angle indicated =ø=17.10°

Answer:

B

Explanation:

The force of gravity will change and that will affect the weight. The mass will stay the same. The mass cannot change unless some of the object is taken away.

Answer:

d=3.5+1.8t

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

Answer:

C and A

Step-by-step explanation:

Answer:

BC = 8.2 mm

Step-by-step explanation:

This is a right triangle with BC as the hypotenuse

(BC)^2 = 4.8^2 + 6.6^2

(BC)^2 = 23.04 + 43.56

(BC)^2 = 66.6

Take the square root of both sides

BC = 8.1608823052

Rounded

BC = 8.2 mm

Answer:

x = 8cm

Step-by-step explanation:

17² = 15² + x²

289 = 225 + x²

- x² = 225 - 289

x² = 64

x = √64

x = 8

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x = 8 cm

Step-by-step explanation:

17² = 15² + x²

289 = 225 + x²

x² = 225 - 289

x² = 64

x = √64

x = 8

Teorema pythagoras