If 20% of a number is 40, find 2% of that number.

The z-score for the raw score of 39 is 1.The z-score for the raw score of 30 is -0.8.Z-scores measure the number of standard deviations a raw score is from the mean. A positive z-score indicates a raw score above the mean, while a negative z-score indicates a raw score below the mean.

To find the z-scores, we need to use the formula:

z = (x - μ) / σ

where:

z is the z-score,x is the raw score,μ is the mean, andσ is the standard deviation.

Let's calculate the z-scores for the given mean of 34 and standard deviation of 5.For a raw score of 39:

z = (39 - 34) / 5

z = 5 / 5

z = 1

So, the z-score for the raw score of 39 is 1.For a raw score of 30:

z = (30 - 34) / 5

z = -4 / 5

z = -0.8

The z-score for the raw score of 30 is -0.8.

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Answer:

the answer is 12 i got it right\(tell me if it is right\)

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

In order to identify the values of the independent variable x and acquire the domain, we simply solve the equation y = f(x). Simply put, x=g(y) will calculate the function's range after we identify g's domain (y).

All values which are given to a function as input are referred to as the domain of that function. for example, a of the box is considered as a function as f(x) = 2x so all values entering this function like 1, 2, 3, 4, and so forth, the domain of this function is just the collection of natural numbers, N.

The group of all outputs of a function is called its range. for example: Let's have a look at the function f: A→ B, where f(x) = 2x and A and B each represent a "collection of natural numbers. The domain in this case is A, and the co-domain is B. The range then appears as the function's output. so Set of all even natural numbers is the range.

Suppose we have a set of numbers X = {1, 2, 3, 4, 5}, and

Our function is f: X → Y, where R = {(x,y) : y = x+1}.

So the Domain of this function is

X= {1, 2, 3, 4, 5}

And similarly the Range of this function

R = {2, 3, 4, 5, 6}

and the co-domain = Y = {2, 3, 4, 5, 6}

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The exact value of sec(-135°) is 1.

To find the exact value of sec(-135°), we need to use the relationship between secant and cosine functions.

The secant function is defined as the reciprocal of the cosine function:

sec(theta) = 1 / cos(theta).

We know that the cosine function has a period of 360°, which means that cos(theta) = cos(theta + 360°) for any angle theta.

In this case, we want to find sec(-135°). Since the cosine function is an even function (cos(-theta) = cos(theta)), we can rewrite sec(-135°) as sec(135°).

Now, let's focus on finding the value of cos(135°). The cosine function is negative in the second and third quadrants.

In the second quadrant, the reference angle is 180° - 135° = 45°. The cosine of 45° is equal to √2/2.

Therefore, cos(135°) = -√2/2.

Now, we can find sec(135°) using the reciprocal property:

sec(135°) = 1 / cos(135°).

Substituting the value of cos(135°), we have:

sec(135°) = 1 / (-√2/2).

To simplify further, we multiply the numerator and denominator by -2/√2:

sec(135°) = -2 / (√2 * -2/√2).

Simplifying the expression:

sec(135°) = -2 / -2,

sec(135°) = 1.

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Answer:

no u

Step-by-step explanation:

The values of (2/3 + 6/3), ( 4/6 + 9/6 ) and ( 6/6 + 6/6 ) are 8/3, 13/6 and 2 respectively.

Given that;

1) 2/3 + 6/3

We combine the numerators over the common denominators

= ( 2 + 6 ) / 3

= 8/3

2) 4/6 + 9/6

We combine the numerators over the common denominators

= ( 4 + 9 ) / 6

= 13/6

3) 6/6 + 6/6

We combine the numerators over the common denominators

= ( 6 + 6 ) / 6
= 12/6

= 2

The values of (2/3 + 6/3), ( 4/6 + 9/6 ) and ( 6/6 + 6/6 ) are 8/3, 13/6 and 2 respectively.

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Answer:

u = -18

Step-by-step explanation:

\(\frac{-5u}{6} =15\)

Multiply both sides by 6.

-5u = 15 × 6

-5u = 90

Divide both sides by -5.

u = -18

Answer: 48 qt

Step-by-step explanation:

The conversion factor between pints and quarts is two which means there are 2 pints in every quart. divide the number of pints by two to find the number of quarts.

96/2 = 48

EX: 24 pints = 12 quarts

24/2 =12

EX 8 quarts = 16 pints

The same rule works in reverse but instead of dividing you multiply.

8x2 = 16

Answer:

y = 3/5 x + 3

Step-by-step explanation:

Exponential decay formula

where:

• f(x): exponential decay function

• a: initial amount

• r: rate of decay, as a decimal

• x: time

In this case, f(x) models the number of employees after x years, the initial amount is a = 720 employees, and the rate of decay is r = 0.03 (= 3/100). Substituting these values into the formula, and evaluating for x = 5 years, we get:

The number of employees in 5 years will be approximately 618

Answer:

n = 45

m = 135

Step-by-step explanation:

The sum of the interior angles of a triangle is 180

180 - 55 - 80 = 45

m = the sum of 55 + 80

n= 45°;

m= 135.

The sum of all interior angles of a triangle must equa 360°. Hence, the value of n is given by the following expression:

\(n+55+80=180\\ \\n=180-55-80\\\\ n=45\)

Since "m" and "n" are opposites angles and, since there's a straight line adjacent to them, the sum of m and n should equal 180 (check the attached image). Find m with the following expression:

\(45+m=180\\ \\m=180-45\\ \\m=135.\)

Answer:

9. Juanita's recipe.

10. Leon's recipe.

Step-by-step explanation:

9.  All you need to do is convert the numbers into fractions.  

Juanita's recipe: 4 parts lemon, 2 parts sugar.  Lydia's recipe: 5 parts lemon  and 3 parts sugar.  So in order to find the lemon amount in each recipe convert into this fraction:

lemon/sugar

Juanita: lemon/sugar= 4 lemon/2 sugar

Lydia: lemon/sugar= 5 lemon/3 sugar

The LCM is 6 so that is the denominator.

Juanita: 4 lemon/2 sugar= 12 lemon/6 sugar

Lydia: 5 lemon/3 sugar= 10 lemon/6 sugar

The ratio is 4:2= ?:6 and 5:3= ?:6

Juanita has 12 lemon and Lydia has 10, so Juanita has more lemons.

10.  Same as number 9.

Use the fraction peanuts/pretzels because it wouldn't work if peanuts is on the bottom otherwise both Leon and Cisco's peanut amount will be the same.  SO put peanuts over pretzels, so pretzels will be the denominator so we can find the peanut amount.

peanuts/pretzels

Leon: peanuts/pretzels= 3 peanuts/8 pretzels

Cisco: peanuts/pretzels= 2 peanuts/6 pretzels

The LCM is 24 so that is the denominator.

Leon: 3 peanuts/8 pretzels= 9 peanuts/24 pretzels

Cisco: 2 peanuts/6 pretzels= 8 peanuts/24 pretzels

The ratio is 3:8= ?:24 and 2:6= ?:24

Leon has 9 peanuts and Cisco has 8, so Leon has more peanuts.

The approximate area of the triangular base of James’ tank is 3025 in²

To find the approximate area of the triangular base of James' tank, we need to know what scale is.

A scale is the ratio of two dimension. It is given by scale = New dimension/old dimension

Given that the dimensions of James’ tank are each exactly 2 3/4 times the dimensions of Julian’s tank.

The scale of the area of James' tank to the area of triangular base of Julian's tank is S = (2³/₄)²

= (11/4)²

= 121/16

Let

So, scale, S = A/A'

So, making A subject of the formula, we have

A = SA'

A = 121/16 × 400 in²

A = 121 × 25 in²

A = 3025 in²

So, the approximate area of the triangular base of James’ tank is 3025 in²

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Michelle was paid for that month is $ 4021.625

A linear equation is an algebraic equation of the form y=mx+b. regarding only a regular and a first-order (linear) time period, in which m is the slope and b is the y-intercept. on occasion, the above is called a "linear equation of two variables," where y and x are the variables.

Calculation:-

Percentage of commission = 10.5%

per week paid = $495.50

a. Equation of Michelle paid = 10.5/100X + 495.50

b. The total value of the kayaks she sold was $19 425.

  Michelle was paid for that month = 19 425 × 10.5/100 + 4 × 495.50

                                                          = 2039.625 + 1982

                                                          = $ 4021.625

A linear equation bureaucracy is an immediate line on a graph. A nonlinear equation paperwork an S-curve, bell curve, or any other nonlinear form on a graph. experts in mathematics and physics view linear equations as simple. specialists in mathematics and physics view nonlinear equations as complex.

A linear equation in a single variable is an equation wherein there is handiest one variable present. it is of the form Ax + B = 0, wherein A and B are any real numbers and x is an unknown variable that has the handiest one answer. for instance, 9x + 78 = 18 is a linear equation in one variable.

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Answer:

Step-by-step explanation:

You want to identify the graphs that go with each of these functions, along with a particular point on the curve.

The equations are written here in standard form, factored form, and vertex form. (The "factored form" is sometimes called "intercept form.") Each of these forms can be analyzed for characteristics relevant to identifying the corresponding graph.

In general, we can readily identify the opening direction, based on the sign of the leading coefficient. Depending on the form, we can also identify zeros, the vertex, and the y-intercept.

The line of symmetry (x-coordinate of the vertex) of the equation in the form ax² +bx +c is x = -b/(2a). That is, it will be left of the y-axis when the coefficients 'a' and 'b' have the same sign.

The graph of equation A will be graph 4, the only one with its vertex left of the y-axis. The y-intercept is the constant: point S = (0, 9).

Equation B has a positive leading coefficient, so opens upward. The zeros of the factors are -3 and +9, so identify the places where the graph crosses the x-axis. Graph 3 is the only one that opens upward and has x-intercepts. Point R is (9, 0).

The vertex form of a quadratic is ...

  y = a(x -h)² +k . . . . . . . vertex (h, k); leading coefficient 'a'

Equation C has its vertex at (h, k) = (3, 9) and opens upward (a>0). Graph 1 is the only one matching those characteristics. Point P is the vertex, so point P is (3, 9).

Equation D is the same as equation B, but with a negative leading coefficient. That is, it opens downward and crosses the x-axis in two places, at x = -3 and x = 9. Graph 2 is matches this description. The left zero is point Q, (-3, 0).

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Answer:

  5/18

Step-by-step explanation:

There are a couple of ways to look at this.

1) If you make a matrix of all possibilities, you find there are 36 possible outcomes from the roll of a die twice. (That is the same number as for rolling two dice once.) Of those 36 outcomes, 10 are outcomes in which a 5 shows exactly once: (5, 1), (5, 2), (5, 3), (5, 4), (5, 6), (1, 5), (2, 5), (3, 5), (4, 5), (6, 5).

The probability of obtaining exactly one 5 is 10/36 = 5/18.

__

2) As listed above, there are two ways to get exactly one 5 in two rolls:

  (5 on the first, non-5 on the second) or (non-5 on the first, 5 on the second)

When the rolls are independent, as we assume here, the probability of a certain sequence is the product of the probabilities of the events in that sequence.

  P(5, non-5) = (1/6)(5/6) = 5/36

  P(non-5, 5) = (5/6)(1/6) = 5/36

The probability of obtaining either event is the sum of their individual probabilities:

  P({5, 5'} or {5', 5}) = 5/36 +5/36 = 10/36 = 5/18

__

The probability of obtaining exactly one 5 in two rolls of a die is 5/18.

Answer:

S= (1,1) (1,2) (1,3) (1,4) (1,5) (1,6)

    (2,1) (2,2) (2,3) (2,4) (2,5) (2,6)

    (3,1) (3,2) (3,3) (3,4) (3,5) (3,6)

    (4,1) (4,2) (4,3) (4,4) (4,5) (4,6)

    (5,1) (5,2) (5,3) (5,4) (5,5) (5,6)

    (6,1) (6,2) (6,3) (6,4) (6,5) (6,6)

For this case the size of the sample space is 36 now we count the number of pairs with exactly one 5 and we have:

(1,5), (2,5), (3,5), (4,5), (6,5), (5,6), (5,4), (5,3), (5,2), (5,1)

And then the probability would be:

\( p=\frac{10}{36}= \frac{5}{18}\)

Step-by-step explanation:

For this case w ehave the following sample space:

S= (1,1) (1,2) (1,3) (1,4) (1,5) (1,6)

    (2,1) (2,2) (2,3) (2,4) (2,5) (2,6)

    (3,1) (3,2) (3,3) (3,4) (3,5) (3,6)

    (4,1) (4,2) (4,3) (4,4) (4,5) (4,6)

    (5,1) (5,2) (5,3) (5,4) (5,5) (5,6)

    (6,1) (6,2) (6,3) (6,4) (6,5) (6,6)

For this case the size of the sample space is 36 now we count the number of pairs with exactly one 5 and we have:

(1,5), (2,5), (3,5), (4,5), (6,5), (5,6), (5,4), (5,3), (5,2), (5,1)

And then the probability would be:

\( p=\frac{10}{36}= \frac{5}{18}\)

Answer: -5/2

Step-by-step explanation:

4y−10∣=20

Combine like terms and use the properties of equality to get the variable on one side of the equal sign and the numbers on the other side. ∣4y−10∣=20 Use the definition of absolute value.

4y−10=20

4y−10=−20

Add 10 to both sides of the equation. 4y=30 which then equals  4y=−10

Divide both sides by 4 to get y = 15 over 2 converted to y = negative 5 over 2

(hope this is helpful)

The value of length of segment t in the intersecting chords is determined as 6.93.

The value of length of segment t is calculated by applying intersecting chord theorem, which states that the angle at tangent is half of the arc angle of the two intersecting chords.

Also this theory states that the product of two segments of a chord is equal to the product of the two segments of the second intersecting chord in the circle.

From the diagram, the length of t is calculated by setting up the following equation;

4 x ( 4 + 8)  = t x t

4 (12) = t²

48 = t²

t = √ (48)

t = 6.93

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Answer:

Step-by-step explanation:

Therefore, the height of the tower is approximately 121.4 meters.

Answer:

what grade is this?

Step-by-step explanation:

The area of the poster in inches is,

⇒ A = 4 inches²

We have to given that;

A rectangular poster is 50 centimeters long and 25 centimeters wide.

Here, 1 centimeter is approximately 0.4 inches

Hence, Lenght = 50 cm

Lenght = 50 x 0.4

            = 2 inches

Width = 25 cm

          = 25 x 0.4

           = 1 inches

Thus, The area of the poster in inches is,

⇒ A = 1 x 4

⇒ A = 4 inches²

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Answer:

A- Irregular

B- Neither

C- Irregular

D- Regular

E- Regular

Step-by-step explanation:

So an irregular polygon has sides of varying sizes and angles

A regular polygon has equal sides and equal angles, meaning all sides are the same length

I hope this helps!

The inverse of the function y-∛x/3 -1 is:

To find the inverse of the given function, we need to express x in terms of y. We can start by swapping the positions of x and y in the original equation:

Now, we can solve for y in terms of x:

Therefore, Therefore, the inverse of the given function is f^-1(x) = 27(x-1)³. This means that if we substitute any value of x into the inverse function, we will get the corresponding value of y that makes the original function true. Similarly, if we substitute any value of y into the original function, we will get the corresponding value of x that makes the inverse function true.

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Answer:

Orlando and Nancy will be at an elevation of -110 when they are at the same elevation.

Step-by-step explanation:

We can set up an equation to find the time it takes for Orlando and Nancy to be at the same elevation

We will use the variable T to represent the time in minutes

Orlando's elevation : -60 + 8t

Nancy's elevation : -35 + 12t

We will solve for t to see at what time the elevations were equal

-60 + 8t = -35 + 12t

-60 + 35 = 12t - 8t

-25 = 4t

4t = -25

t = -6.25

This means that both will be at the same elevation 6.25 minutes before Orlando goes down

To find the elevation they will be at that time, we will plug -6.25 into either expression.

-60 + 8t = -60 + 8(-6.25) = -110

Orlando and Nancy will be at an elevation of -110 when they are at the same elevation.

Answer: 10x-6

Step-by-step explanation:

we know that perimeter P is 2L+2W

2L= 2(3x+2)=6x+4

2W=2(2x-5)=4x-10

P=6x+4+4x-10=10x-6

Answer:

attached below is the missing part of the question and the solution

A) 60%, 40%

B) 25%

C) 60%

Step-by-step explanation:

a) The accuracy of always-taken for this sequence of branch outcomes = 60%

The accuracy of always -not-taken for this sequence of branch outcomes = 40%

b) The accuracy of the 2-bit predictor for the first four branches assuming that the predictor starts off in the bottom left state = 25%

C)the accuracy of the 2-bit predictor if this pattern is repeated forever = 60% ( was stopped after the fourth iteration because the fourth and third iterations are the same)  =