Question #2
0 of 3 points
Cynthia has a watch that counts the number of steps she takes every
day. When she goes for a casual walk, she can get 50 steps every
minute. She has already walked for 236 steps today and she wants to
get to 950 steps before she goes to school.
Which inequality represents the number of minutes (m) Cynthia would
need to walk to reach her goal before she gets to school?
X
0/3​

Okay, here are the steps to find the probability the randomly selected pitcher is left-handed:

1) There are 1 left-handed starter, 4 right-handed starters, 2 left-handed relievers and 1 right-handed reliever.

2) In total, there are 1 + 4 + 2 + 1 = 8 pitchers.

3) Of the 8 pitchers, 1 + 2 = 3 are left-handed.

4) So the probability the randomly selected pitcher is left-handed = (3/8) = 3/8 = 0.375

Therefore, the probability that the randomly selected pitcher from the team is left-handed is 0.375.

Let me know if you have any other questions!

175 yards long is the 15th hole if the map shows 17.5 inches.

hole = c yards

1.5 / 15 = 17.5 / c

1.5 c = 15 * 17.5

1.5 c = 262.5

c = 175 yards

A length unit equal to 36 inches, or 3 feet (see foot), in the United States Customary System, or 0.9144 metre in the International System of Units. A cloth yard is 37 inches long, and it was also the standard length for arrows.

The yard is an English unit of length that equals 3 feet or 36 inches in both the British imperial and US customary measurement systems. Since 1959, it has been standardized as 0.9144 meter by international agreement. One mile is equivalent to 1,760 yards. The survey yard in the United States is slightly longer.

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Answer:

In ΔUVW, the measure of ∠W=90°, WV = 39, UW = 80, and VU = 89. What ratio represents the cosine of ∠U? Therefore, the ratio that represents the cosine of ∠U is 39/81.

Step-by-step explanation: hope this helps

Answer: No they are the same.

Step-by-step explanation:

Step-by-step explanation:

no it is less due to negative sign if it is positive then we say it is bigger

All the values of x, y and z are,

z = 12.99

y = 7.01

x = 28.3 degree

We have to given that;

In a triangle,

Two angles are, 61.7 degree and 90 degree

And, One side is, 14.76.

Now, We can formulate;

sin 61.7° = Perpendicular / Hypotenuse

sin 61.7° = z / 14.76

0.88 = z / 14.76

z = 0.88 x 14.76

z = 12.99

And, By Pythagoras theorem we get;

14.76² = z² + y²

14.76² = 12.99² + y²

217.85 = 168.74 + y²

y² = 217.85 - 168.74

y² = 49.1

y = 7.01

And, By sum of all the angles in triangle, we get;

x + 61.7 + 90 = 180

x + 151.7 = 180

x = 180 - 151.7

x = 28.3 degree

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The quadratic equation is:

then what we need to do is to complete the square for x, we add in both sides of the inequality (18/2)^2=81

then the vertex will be (-9,-49)

Answer:

y= 22 + 187 – 32 Vertex form

The base point is a good point to use for where you know the values of the function and its derivative.

The idea is to chose a point (often called the base point) where the value of the function and its derivative are known, or are easy to calculate, and use the tangent line at that point to estimate values of the function in the vicinity.

Specifically, The generic equation of the tangent line to \(y=f(\text{x})\) at \(\text{x}_0\) is given by Equation (5.2). That line approximates the behavior of the function close to \(\text{x}_0\), and leads to the so-called linear approximation of the function:

\(y=f(\text{x}_0)+f'(\text{x}_0)(\text{x}-\text{x}_0)\thickapprox f(\text{x})\)

\(\rightarrow f(\text{x})\thickapprox f(\text{x}_0)+f'(\text{x}_0)(\text{x}-\text{x}_0)\)

Thus, the base point is a good point to use for where you know the values of the function and its derivative.

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Answer:

10.74666666666667 per quart

Step-by-step explanation3 divided 36.24

Answer:

wheres the photo

Step-by-step explanation:

Answer:

200 lbs.

Step-by-step explanation:

Divide mass value by 16 to convert oz to lbs.

3,200/16=200

Answer:

A

Step-by-step explanation:

The expression is simplified to 2

It is important to note that the table of exact values for trigonometric identity differ with the particular identity in study.

From the table of exact values, we have that;

sin 15 = 0. 25

sin 30 = 0. 5000

sin 45 = 0. 7071

sin 60 = 0. 8600

sin 75 = 0. 9659

sin 90 = 1

To determine the value of the expression, we have to substitute the value of sin 30 as 0. 5000

4 sin 30°

⇒ 4 × 0. 5000

multiply through

⇒ 2

The value determined is 2

Thus, the expression is simplified to 2

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The value of function f(g(-2)) is -13 when f(x) =2x-3and g(x)=3x+1.

In mathematics, a function is a relation between a set of inputs (also known as the domain) and a set of possible outputs (also known as the codomain), where each input is related to exactly one output. Functions can be represented in various ways, such as through equations, tables, graphs, and verbal descriptions. They are a fundamental concept in many branches of mathematics and are widely used in various fields, including physics, engineering, economics, and computer science.

Here,

To evaluate f g(-2), we need to first find the value of g(-2) and then plug it into f(x).

Using g(x) = 3x + 1, we have:

g(-2) = 3(-2) + 1

= -6 + 1

= -5

Now, using f(x) = 2x - 3, we have:

f g(-2) = f(-5)

= 2(-5) - 3

= -10 - 3

= -13

Therefore, f g(-2) = -13.

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Step-by-step explanation:

3 IS THE ANSWER I HOPE IT CAN HELP YOU

Answer:

Step-by-step explanation:

9514 1404 393

Answer:

  136

Step-by-step explanation:

The attached chart shows the result of using the numbers in the problem statement to calculate the percentage of the population in each category.

95% accuracy on infected individuals is assumed to mean that 95% of the 2% who are infected return a positive test result. The other 5% return a negative test result.

Similarly, 90% accuracy on uninfected individuals is assumed to mean that 90% of the 98% who are not infected will return a negative test result, and the remaining 10% of those 98% will return a (false) positive test result.

Then of the 11.7% who return a positive test result, only 1.9% are actually infected. This fraction is a/b = 19/117, so ...

  a + b = 19 + 117 = 136

_____

Additional comment

When forming ratios of percentages, one must be very clear about the base of the percentage. Above, the base for every percentage is the entire population of mathletes. The fraction 19/117 is the fraction of those who tested positive that are actually infected (about 16.2% of positives).

Answer:

the answer is 136

Step-by-step explanation:

:)))))

Given :

Coffee cost in a paper cup , $1.50 .

Coffee cost in a cremic mug , $6 .

Refills of the ceramic mug are $1 .

To Find :

How  many refills do you need to buy to make buying the mug a better value

then buying individual paper cups of coffee.

Solution :

Let , number of fills to make mug better option is x .

So , money spend in mug in greater than paper cup .

\(1.5x6+1x\\\\0.5x>6\\\\x>12\)

Therefore , after 12 cups of coffee, ceramic mug will have better value than paper cups .

Hence , this is the required solution .

We will find the equation of the line passes through the points:

The general neral

Answer:

15 pt

Step-by-step explanation:

to convert qt to pt you multiply by 2 so 7 and 1/2 times 2 is 15

Now

\(\\ \rm\Rrightarrow P(E)=\dfrac{|E|}{|S|}\)

\(\\ \rm\Rrightarrow P(E)=\dfrac{7}{14}=1/2\)

Answer:

\(\mathsf{Probability \ of \ an \ event \ occurring = \dfrac{Number \ of \ ways \ it \ can \ occur}{Total \ number \ of \ outcomes}}\)

Given:

\(\implies \mathsf{Probability \ of \ red\ hair= \dfrac{7}{14}=\dfrac12=0.5}\)

The sum of the eigenvalues of A is equal to the trace of A, and we have proved the desired result.

Let A be an n x n square matrix with eigenvalues λ1, λ2, ..., λn.

The trace of A is defined as the sum of the diagonal elements of A, i.e.,

tr(A) = a11 + a22 + ... + ann

where aij is the element of A in the ith row and jth column.

Now, consider the characteristic equation of A, which is given by

det(A - λI) = 0

where I is the n x n identity matrix.

Expanding the determinant, we get

(-1)^n λ^n + (-1)^(n-1) tr(A) λ^(n-1) + ... + det(A) = 0

By Vieta's formulas, the sum of the roots of this polynomial equation is equal to the negative of the coefficient of the (n-1)th power of λ divided by the coefficient of the nth power of λ.

Thus, the sum of the eigenvalues of A is given by

λ1 + λ2 + ... + λn = -(-1)^(n-1) tr(A)/(-1)^n

= tr(A)

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Answer:

-12y^10

Step-by-step explanation:

First let's rewrite the equation using the commutative property of multiplication
3 x (-4)y^8y^2

Multiply y^8 by y^2 by adding the exponents
y^8+y^2= y^10

3 x (-4)y^10

Now multiply 3 by -4
3 x -4= -12

Finally put them together
-12 + y^10= -12y^10

Answer:

\( - 12 {y}^{10} \)

Step-by-step explanation:

We are to simplify:

\((3 {y}^{8} )( - 4 {y}^{2} )\)

3 multiplies -4 to get -12, as shown below

\(3 \times - 4 = - 12\)

Now, to multiply the exponents which are 8 and 2, we have to use the exponential rule of multiplication: \( {a}^{b} \times {a}^{c} = {a}^{b + c} \)

Therefore:

\( {y}^{8} \times {y}^{2} = = > {y}^{8 + 2} = {y}^{10} \)

Now, combine -12 and \( {y}^{10} \) to get your final answer.

Final answer \( = - 12 {y}^{10} \)

Answer:

5t + 3 < 30

Step-by-step explanation:

Five times a number t is 5t.

Three more just means add 3 more to your first term (in this case it's 5t).

Less than thirty means not less than or equal to 30 but just less then 30.

The vertex of the graph is a maximum at (-2, 4)

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

The graph

The graph is a quadratic function

From the graph, we can see that the graph has a maximum value

This maximum value represents the vertex of the graph

And it is located at (-2, 4)

So, we have

Maximum = (-2, 4)

Hence, the maximum value of the function is (-2, 4)

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40% of $280

40/100 x280

= 112

The discounted price = 280 -112

= $168

Answer: 14/16

Step-by-step explanation:

Answer:

14/8 BUT Simplified even further = 7/8

Step-by-step explanation:

By using the concept of rotation, it can be inferred that

New coordinate of C (C') = (12, -6)

What is rotation?

Rotation is a mathematical transformation in which an object is turned about a fixed point called the center of rotation. Rotation is a very important tool in mathematics, especially in coordinate geometry.

In this problem, 90° rotation clockwise about the origin has been applied.

We need to find the new coordinate of C after rotation.

Coordinate of C = (6, 12)

C is in the first quadrant

On rotating 90° clockwise, point C will go to fourth quadrant

New coordinate of C (C') = (12, -6)

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