Assume that females have pulse rates that are normally distributed with a mean of u=76.0 beats per minute and a standard deviation of a = 12.5 beats per minute. Complete parts (a) through (c) below. a. If 1 adult female is randomly selected, find the probability that her pulse rate is less than 83 beats per minute. The probability is (Round to four decimal places as needed.)

Answer:

i cant see picture

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

(I'm assuming that by m2 and n2 you mean m to the power of 2 and n to the power of 2)

Whenever you have a number to a power, it is the same as that number times itself that power number of times. For example, 3 to the power of 4 is equal to 3 times itself 4 times, which is 3 * 3 * 3 * 3. If we use this and substitute the values in for m and n, we get that 3^2 - 2^2, and since 3^2 is 3 * 3 and 2^2 is 2 * 2 and 3 times 3 is 9 and 2 times 2 is 4, we get that 9 - 4 is 5.

Note: This symbol means to the power of ----> ^

ABC is a right angle

ABCD is a parallelogram

Opposite sides of a parallelogram are equal

So

Opposite angles are equal

<B=<D

Hence

∆ABC and ∆CDB are congruent by SAS

A measure of variation that includes spread, variance, and spread from the mean is the standard deviation.

The skewness of the data is expressed as standard deviation. It measures how far each observation is from the mean. Approximately 95% of the values ​​in each distribution fall within 2 standard deviations of the mean.

Standard deviation is a measure of spread, variance, and deviation from the mean given spread.

The standard deviation represents the "typical" deviation from the mean. This is a popular measure of volatility because it preserves the original units of the data set.

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Answer:

6

Step-by-step explanation:

The alternate exterior angle to angle 4 is angle 6

Alternate angles are angles at the opposite sides of intersecting lines, and they are equal

From the question, we understand that:

The angles in a clockwise direction are:

1, 2, 3, 4; 5, 6, 7, 8.

So, the alternate angles are:

Angles 4 and 6

Angles 3 and 5

Hence, the alternate exterior angle to angle 4 is angle 6

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Answer:

Circumference = 2*pi*r

Diameter = 6 cm

Radius = 3 cm

Circumference = 2*22/7*3

= 18.85 cm.....

Step-by-step explanation:

Hope this helps you....

Pls mark me brainliest....

An equivalent expression is an expression that is equal in value to a given expression. For example, consider the following expression: 4x + 2y

An equivalent expression is an expression that represents the same value as a given expression, regardless of the specific values of any variables that appear in the expression. Equivalent expressions can be obtained by applying the rules of algebra, such as the associative, commutative, and distributive properties.

This expression is equivalent to the following expressions:

2(2x + y)

2y + 4x

(4 + 2)x + 2y

All of these expressions are equivalent because they all represent the same value, regardless of the specific values of x and y. They can all be simplified to the same expression by applying the rules of the algebra.

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The most responsible choice for Nick regarding his birthday money would be option C, which is to use all the money to pay down his credit card debt.

This is because credit card debt  generally comes with high- interest rates, and it can be  grueling  to pay off the debt if the interest keeps adding up. By using the$ 500 to pay down his credit card debt, Nick can reduce the  quantum he owes and, as a result, pay  lower interest in the long run.   Options A and D suggest  unyoking the  plutocrat between paying down debt and investing/ saving, which may not be the stylish choice given Nick's current  fiscal situation.

Option B suggests putting all the  plutocrat into a savings  regard with a lower interest rate, which would not be as effective in reducing his credit card debt. thus, option C is the most responsible choice for Nick.

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False. The statement you described is not an equivalent form for a conditional statement. The process you mentioned, which is reversing and negating the antecedent and consequent, is known as forming the contrapositive of the statement.

A conditional statement has the form "If P, then Q," where P is the antecedent and Q is the consequent. The contrapositive is formed by negating both the antecedent and consequent, and reversing their order: "If not Q, then not P." The contrapositive is equivalent to the original conditional statement.

However, simply reversing the antecedent and consequent without negating them gives you the converse, which is "If Q, then P." The converse is not equivalent to the original conditional statement.

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a) the dimension of its column space is also 2. b) the rank of A is 2. c) the nullity of matrix A is 1. d) the dimension of the solution space of the homogeneous system \(A_x = 0\) is also 1.

(a) The dimension of the row space of a matrix is equal to the dimension of its column space. So, if the dimension of the row space of matrix A is 2, then the dimension of its column space is also 2.

(b) The rank of a matrix is defined as the maximum number of linearly independent rows or columns in the matrix. Since the dimension of the row space of matrix A is 2, the rank of A is also 2.

(c) The nullity of a matrix is defined as the dimension of the null space, which is the set of all solutions to the homogeneous equation Ax = 0. In this case, the matrix A is a 3 x 3 matrix, so the nullity can be calculated using the formula:

nullity = number of columns - rank

nullity = 3 - 2 = 1

Therefore, the nullity of matrix A is 1.

(d) The dimension of the solution space of the homogeneous system Ax = 0 is equal to the nullity of the matrix A. In this case, we have already determined that the nullity of matrix A is 1. Therefore, the dimension of the solution space of the homogeneous system \(A_x = 0\) is also 1.

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There are 3 balanced strings in set T.

To count the number of balanced strings in the set T={0, 1, 2}, we can establish a bijection between the set of balanced strings and T itself. A balanced string is defined as a string in which the sum of its digits is a multiple of 3.

We can define a function f: T" -> T that maps each string in T" to T by preserving the balanced property. If a string in T" is already balanced, f returns the string itself. If the string is not balanced, f replaces the last digit with digit that makes the sum a multiple of 3.

By showing that this function is both injective (one-to-one) and surjective (onto), we establish a bijection. The bijection rule states that if two sets have a bijection between them, they have the same cardinality. Therefore, the number of balanced strings is equal to the number of elements in T, which is 3.

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Answer:

1

We know that f(x) is replaced with f(0) in this case. The 0 replaced the x. As a result, we can use the given value of 0 to plug into the x's, and we are left with 1.

The point on the plane 4x - y + 4z = 40 nearest the origin is (-3.048, -0.762, 6.467)

Given data ,

To find the point on the plane 4x - y + 4z = 40 nearest the origin, we need to minimize the distance between the origin and the point on the plane.

The normal vector to the plane 4x - y + 4z = 40 is given by (4,-1,4). To find the perpendicular distance from the origin to the plane, we need to project the vector from the origin to any point on the plane onto the normal vector. Let's choose the point (0,0,10) on the plane:

Vector from origin to (0,0,10) on the plane = <0-0, 0-0, 10-0> = <0,0,10>

Perpendicular distance from the origin to the plane = Projection of <0,0,10> onto (4,-1,4)

= (dot product of <0,0,10> and (4,-1,4)) / (magnitude of (4,-1,4))

= (0 + 0 + 40) / √(4^2 + (-1)^2 + 4^2)

= 40 / √(33)

To find the point on the plane nearest the origin, we need to scale the normal vector by this distance and subtract the result from any point on the plane. Let's use the point (0,0,10) again:

Point on the plane nearest the origin = (0,0,10) - [(40 / √(33)) / √(4^2 + (-1)^2 + 4^2)] * (4,-1,4)

= (0,0,10) - (40 / √(33)) * (4/9,-1/9,4/9)

= (0,0,10) - (160/9√(33), -40/9√(33), 160/9√(33))

= (-160/9√(33), -40/9√(33), 340/9√(33))

Hence , the point on the plane 4x - y + 4z = 40 nearest the origin is approximately (-3.048, -0.762, 6.467)

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Answer:

Step-by-step explanation:

12

Answer:

50 ml

Step-by-step explanation:

50ml

Answer: The answer is C

Sorry if I'm wrong

Answer:

1.         x=2+3y/2

2.         x=−3/2+4y

hope this helps!!:)

Step-by-step explanation:

Answer:

53.87 because 4 cant round the 6

Step-by-step explanation:

Answer:

53.87

Step-by-step explanation:

4 cannot round the 6

Step-by-step explanation:

-1/4, -1/5, -1/6, -1/7, -1/8, 1/8, 1/7, 1/6, 1/5, 1/4

For given triangle the exact lengths will be y=6.92 cm and x=3.1 cm.

What is a triangle's definition?

In geometry, triangles are polygons having three sides and three vertices. This two-dimensional figure has three straight sides. A triangle is a three-sided polygon. The sum of three triangle angles equals 180°. The triangle is enclosed by a single plane. Triangles are classified into three sorts based on the angles they have.

Acute Angle Triangle - A triangle with all of its angles smaller than 90°.

Obtuse Angle Triangle - A triangle with a larger than 90° angle.

One of the angles of a triangle with a right angle is 90°.

Now,

As given angles are 90°, 60° and 30°.

and one side= 6cm

then

sin 60=P/h=6/y

y*√3/2=6

y=6/0.866

y=6.92 cm

then By Pythagoras Theorem

x²=6.92²-6²

x²=45.8-36

=9.8

x=√9.8

x=3.1 cm

Hence,

          the exact lengths will be y=6.92 cm and x=3.1 cm.

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The information for a 95% confidence interval for the mean cholesterol are:Sample mean = x = 161.5 Standard Deviation = σ = 19.5 Sample size = n = 169 Z or t = Z Standard Error (Rounded to nearest tenth)= 1.5 Margin of Error (Rounded to nearest tenth) = 2.83 Lower limit (Rounded to nearest tenth) = 158.67 Upper limit (Rounded to nearest tenth) = 164.33

Given that the sample size, n = 169, sample mean, x = 161.5, and population standard deviation, σ = 19.5 are to be used to compute the confidence interval for the mean cholesterol. We are to find the following information for a 95% confidence interval for the mean cholesterol.

We know that if the population standard deviation is known and the sample size is greater than 30, then we use the z-value instead of the t-value. Since the sample size is n = 169, we can use the z-value. Z or t = Z For a 95% confidence level, α = 0.05/2 = 0.025 Zα/2 = Z 0.025 (from the standard normal distribution table)Z 0.025 = 1.96 The formula to calculate the standard error of the mean cholesterol is:Standard error = σ/√n=19.5/√169= 1.5

The margin of error is given by Margin of error = Zα/2 × (σ/√n)Margin of error = 1.96 × (19.5/√169)= 2.83 (rounded to the nearest tenth)The lower limit and upper limit of the confidence interval are given by the formulas:Lower limit = x - Margin of error Upper limit = x + Margin of error Lower limit = 161.5 - 2.83 = 158.67 (rounded to the nearest tenth)Upper limit = 161.5 + 2.83 = 164.33 (rounded to the nearest tenth)

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Answer:

D) she can divide 7 by 2

Step-by-step explanation:

As, Division is not same as multiplication, so not the a option

And b doesn't have the right values

C is also wrong bc it have multiplication

So D is right

The solution of function is π/6 and 7π/6.

What is function?

In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y.

Main body:

Take the inverse tangent of both sides of the equation to extract x from inside the tangent.

x/3=arctan(√3/3)

Simplify the right side.

The exact value of arctan(√3/3) is π/6.

x/3=π/6

Multiply both sides of the equation by 3.

3x/3=3π/6

Simplify both sides of the equation.

x=π/2

The tangent function is positive in the first and third quadrants. To find the second solution, add the reference angle from π to find the solution in the fourth quadrant.

x/3=π+π/6

Solve for x.

x=7π/2

Find the period of tan(x/3).

3π

The period of the tan(x/3) function is 3π so values will repeat every 3π

radians in both directions.

x=π/2+3πn,7π/2+3πn, for any integer n

Consolidate the answers.

x=π/2+3πn, for any integer n

Plug in 0 for n and simplify to see if the solution is contained in

[0,2π).

hence , the solution of function is π/6 and 7π/6.

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The greatest common divisor of 3060 and 1155 is 15. S = 13, t = -27

In this case, S = 13 and t = -27. To check, we can substitute these values in the expression for the linear combination and simplify as follows: 13 × 3060 - 27 × 1155 = 39,780 - 31,185 = 8,595

Since 15 divides both 3060 and 1155, it must also divide any linear combination of these numbers.

Therefore, 8,595 is also divisible by 15, which confirms that we have found the correct values of S and t.

Hence, the greatest common divisor of 3060 and 1155 can be expressed as 3,060s + 1,155t, where S = 13 and t = -27.

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Answer:

(-8,7)

Step-by-step explanation:

5x+9y=23

-2x+y=23

 Step 1. When looking at the equation you need to find out what method you must use and a good way to find out if you use subtraction is to look for a variable of 1

just like -2x+y=23 has the variable 1y

 Step 2. solve for y in the second equation

-2x+y=23

+2x       +2x

y=2x+23

Step 3. rewrite your equation

5x+9y=23

y=2x+23

 Step 4. replace your y variable with the expression you just made

5x+9(2x+23)=23

Step 5. Distribute the 9 and solve

5x+18x+207=23

23x+207=23

23x=-184

x=-8

Step 6. enter your x value into the equation you solved in step one

y=2(-8)+23

y=-16+23

y=7

Step 7. determine if consistent or inconsistent

Because you have a x and y you have an consistent

...you can also graph it

Answer:

200

Step-by-step explanation:

i think hope it helps

Answer:

Step-by-step explanation:

Mr. Adams will fill 21 plates, and he will have 5 extra cookies.

To find the number of plates filled by Mr. Adams, we need to divide 730 cookies by 35 cookies per plate:

730 ÷ 35 = 21

So, Mr. Adams will fill 21 plates.

To find the number of extra cookies, we use the modulo operator to find the remainder after dividing 730 by 35:

730 % 35 = 5

So, Mr. Adams will have 5 extra cookies.

Answer:

B yes

Step-by-step explanation:

As long as a verticle line intercepts the graph at no more than one point it is a function

Answer:

B. Yes, because it passes the vertical line test

Step-by-step explanation:

no x values are repeated

In rectangle , The width is 8 and the length is 37.

What is a rectangle ?

A rectangle is a sort of quadrilateral with parallel sides that are equal to one another and four vertices that are all 90 degrees apart. Because of this, it is also known as an equiangular quadrilateral.

                              The term "parallelogram" can also be used to describe a rectangle because the opposing sides are equal and parallel.

90 = 2(x + 5 + 4x)

90 = 2(5x + 5)

90 = 10x + 10

80 = 10x

x = 8

So the width is 8 and the length is 37.

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The complete question is -

The length of a rectangle is five inches more than four times it’s width. If the perimeter is 90 inches, find its dimensions

Assuming the numbers are the degrees of the angles, then since they are supposed to form a right triangle then you need a 90-degree angle. The missing number would be 90 for both.

Answer:

for I) answer is 40

2) answer is 84

The diameter of the given circle with a circumference of 28.6 centimeters is approximately 9.11 cm.

The circumference of a circle is given by the simple formula: C = πd, where C is the circumference, π is the constant pi and d is the diameter of the circle.

Given that the circumference of the circle is 28.6 cm, we can use the formula to find the diameter:

28.6 = πd

d = 28.6/π

Using 3.14 as an approximation for π, we get:

d ≈ 28.6/3.14 ≈ 9.11

Therefore, the diameter of the circle is approximately 9.11 cm.

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