Calculate the standard score (z-score) of the given sample mean. Round your answer to two decimal places.

μ=31 and σ=9; n=64; x¯=30

Derek's hourly rate is $10 and Charlie's hourly rate is $10.45, Charlie's earns $0.45 more per hour than Derek.

A unit rate means a rate for one of something.

Given that, a graph which shows Derek's earning hourly, and Charlie earns $52.25 in 5 hours of work,

Derek's earns $10 for an hour

Charlie's earning for an hour = 52.25/ 5 = $10.45

Hence, Charlie's hourly rate is $10.45, and he earns $0.45 more per hour than Derek.

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The value of x is 33 and y is 39.

The fundamental characteristics listed below make it simple to recognise parallel lines.

As, (7x- 7) = 3x+ 45 (corresponding angles)

4x = 52

x= 13

Now, 7x- 7 + w + 63 = 180 (linear pair)

w= 180- 147

w= 33 degree.

y-6 = 33 (Alternate interior angle)

y= 39

Hence, the value of x is 33 and y is 39.

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Answer: If you mean how much is 1111 less than 1191, then your answer is

80.

Step-by-step explanation: 1191 - 1111 = 80.

The value of the number 9.15 x 10° written in standard form is equal to 9.15.

As given in the question,

Given number is equal to :

9.15 x 10°

Given number 9.15 x 10°  is written in standard form.

The value of the given number 9.15 x 10°  written in standard form is given by:

9.15 x 10°

Here 10° = 1

Using property of number: Any number raise to zero is always equal to 1.

9.15 x 1

Using Multiplicative identity , number multiply to 1 remain number itself.

= 9.15

Therefore, the value of the number 9.15 x 10° written in standard form is equal to 9.15.

The complete question is:

What is the value of 9.15 x 10° written in standard form?​

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The standard form of polynomial is x^2 + 9x - 1/10

To write the equation in standard form, look at the degree of highest term and then rewrite the equation in decreasing order of degree i.e. from highest to lowest.

The given polynomial is

⇒ x^2 + 9x - 1/10

The standard form of the polynomial is

⇒ x^2 + 9x - 1/10

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From the graph of the given function , the value of f(1) = -1.

As given in the question,

From the graph of the given function,

Two coordinates from the graph are as follow:

( x₁ , y₁) = (1, -1)

( x₂ , y₂ ) = ( 0, -3 )

Equation of the line representing the function is given by:

(y - y₁) /(x-x₁) = ( y₂ -y₁)/ (x₂ -x₁)

⇒(y +1)/ (x-1) = (-3 +1)/ (0-1)

⇒ (y +1)/ (x-1) = 2

⇒y +1 = 2x -2

⇒ y = 2x -3

To get the value of x we have,

  y = f(x)

⇒f(x) = 2x -3

⇒f(1) = 2(1) -3

⇒f(1) = -1

Therefore, from the graph of the given function , the value of f(1) = -1.

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Answer:

Step-by-step explanation:

1. First multiply to get the number of hours for 5 painters.

5*21= 105 minutes for 5 painters.

2. Divide by 7 for hours taken for the 7 painters!

105/7=15

3. Answer=15 hours

The equation have the same solution as 2.3p – 10.1 = 6.49p – 4 and 230p – 1010 = 650p – 400 – p

Given: 2.3p – 10.1 = 6.5p – 4 – 0.01p.

Using this given property, let's write the equation

We can subtract like terms (6.5p– 0.01p = 6.49p) to get:

2.3p – 10.1 = 6.5p – 0.01p – 4

2.3p – 10.1 = 6.49p – 4

Also, we can multiply both sides of the algebraic equation by 100:

(2.3p – 10.1) x 100 = (6.5p – 4 – 0.01p) x 100

230p – 1010 = 650p – 400 – p

Therefore, the equations have the same solution as 2.3p – 10.1 = 6.49p – 4 and 230p – 1010 = 650p – 400 – p. The 2nd and 3rd options are the answers

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The simple interest is 2112.5 and the maturity value is 21,612.5

In the given question,

We have to find the simple interest and maturity value.

The given principal amount (P)= 19,500

The interest rate (r)= 6 1/2%

We write the interest in improper fraction. We can write it as 6 multiple with 2 then adding the result of multiplication with 1.

So the simplest form (r)=13/2%

Time = 20 months.

Now converting the months into years.

As we know that in one year have 12 months.

So the Time = 20/12

Time (T)= 5/3

The formula of simple interest is

I = P*R*T/100

Now putting the value

I = 19,500*(13/2)*(5/3)/100

Simplifying

I = 19,500*13*5/100*2*3

I = 1,267,500/600

I = 2112.5

Hence, the simple interest is 2112.5.

Now finding the maturity value(MV).

MV=P+I

MV=19,500+2112.5

MV=21,612.5

Hence, the maturity value is 21,612.5

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The domain of the relation in the diagram below is: a. {-3, -1, 1, 4, 5}.

A relation has a set of domain elements, which are all the inputs of the relation that are mapped to a set of range elements, which are all the corresponding outputs of the relation.

Given the relation as shown in the diagram that is attached below showing a mapping, the set of input values is {-3, -1, 1, 4, 5}, while the set of output values is {-5, 0, 2, 6}.

Therefore, {-3, -1, 1, 4, 5} is the domain of the relation because it is the set of all input values, while the range of the relation is {-5, 0, 2, 6}, because it is the set of all output values that corresponds to the input values.

The domain is therefore: a. {-3, -1, 1, 4, 5}.

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Answer:

192

Step-by-step explanation:

If 20% is the profit, then 80% is the cost.

.8 x 240 = 192

Answer:6/13/3

Step-by-step explanation:look at how the year’s difference are

As a percentage, a card at random 5, 6, 7, 8 9, 7.5, 6.42, 5.62. Per cent is derived from the Latin adverbial phrase per centum, which means "by the hundred." The Latin phrase made its way into English in the 16th century.

Therefore,

45/5 = 9

45/6 = 7.5

45/7 = 6.42

45/8 = 5.62

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Answer:

E

Step-by-step explanation:

I am a line & domain is -7

Step-by-step explanation:

speed = distance / time

to get distance, we have to multiply by time.

the speed the 2 busses are moving seat from each other is

x + (x + 17) = 2x + 17

x = the speed of one bus

x + 17 = the speed of the other bus.

so, after 4 hours the distance between them is

(2x + 17) × 4 = 836

2x + 17 = 209

2x = 192

x = 96 km/h

bus 1 travels at 96 km/h.

bus 2 travels at 96+17 = 113 km/h.

The two possible solutions of the given quadratic equation are -

x =  +√6 +5 and x =  -√6 +5

For the given question;

(x - 5)² - 6 = 0

Bring constant on other side.

(x - 5)² = 6

Taking square root both side.

√ (x - 5)² = √6

(x - 5) = ±√6

Separate the constant and variables.

x =  ±√6 +5

There are two possible solution.

x =  +√6 +5 and x =  -√6 +5

Thus, the two possible solutions of the given quadratic equation are -

x =  +√6 +5 and x =  -√6 +5.

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Answer:

second option

Step-by-step explanation:

the equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b ) a point on the line

here m = - [tex]\frac{2}{3}[/tex] and (a, b ) = (1, - 7 ) , then

y - (- 7) = - [tex]\frac{2}{3}[/tex] (x - 1) , that is

y + 7 = - [tex]\frac{2}{3}[/tex] (x - 1)

The trigonometric ratios for angle A are measured below.

A triangle is a polygon with three edges and three vertices. The sum of all the angles of a triangle is 180 degrees. Mathematically -

∠x + ∠y + ∠z = 180°

The sum of two sides of a triangle is greater then the third side. Mathematically -

a + b > c

There are different types of triangles such as -

equilateral triangle , scalene triangle , isosceles triangle etc.

Given is a right angled triangle as shown in the image attached.

The six trigonometric ratios are -

sin (A) = 10/√116

cos (A) = 4/√116

tan (A) = 10/4

cosec (A) = √116/10

sec (A) = √116/4

cot (A) = 4/10

Therefore, the trigonometric ratios for angle A are measured above.

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The Algebraic Equation is correct

What is Algebra?

One of the many branches of mathematics is algebra. Algebra, which is a common thread throughout practically all of mathematics, is broadly defined as the study of mathematical symbols and the rules for manipulating these symbols in formulas.

Two times a certain quantity

When a number is divided by two, ten is subtracted: 2x-9

The equal sign is a result.

The number and its sum equals 7+x.

Put everything together (except for the first 2x, that was used to find the second part).

2x-9=7+x

Get all of your like terms on the same side first. Because dealing with a negative variable can result in an additional step at the end, I personally dislike dealing with them. As a result, I'll take the n on the right and shift it to the 2x on the left.

2x-9=7+x

x-9=7

The -9 must now be positioned on the other side of the equal sign.

x = 7 + 9

x=16

Connect the 16 to the original equation to make sure you're doing it correctly.

2(16)-9=7+(16)

32-9=7+16

23=23

It is accurate.

Hence, The algebraic equation is correct

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The farmer should use 1200 pounds of type 1 mixture and 800 pounds of type 2 mixture to satisfy the given conditions

From given information,

Type 1: 45 percent of protein in the supplement is x pounds

Type 2: 20 percent of the protein in the supplement is (2000 - x) pounds

Also Mixture A 35% of the protein in the supplement is 2000 pounds

According to the equation after removing the percentage sign we have

45x + 20(2000-x)= 35*2000

45x + 40000 - 20x = 70000

25x = 30000

x = 1200

Now for type 2 mixture we have

2000 - 1200 = 800 pounds

Therefore, the farmer should use 1200 pounds of type 1 mixture and 800 pounds of type 2 mixture to satisfy the given conditions

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The final price of the shoes after successive discounts is $77.22.

What is a discount?

A discount is a reduction in the regular selling price of a good or service, either in terms of money or as a percentage.

Main Body:

Sale price = Original price - discount

The formula for successive discount is given by=

Cost price*(1 - discount₁/100)*(1 - discount₂/100)*(1 - discount₃/100)

Now calculating:

According to the question , Cost price = $165

sale price = 165*(1-0.35)*(1-0.20)*(1-0.10)

                 = 165*0.65*0.8*0.9

                 = $77.22

Hence the answer to sale price of the shoe would be $77.22

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The addition property used by Bill in finding the actual December temperature is the commutative property of addition.

According to the question,

We have the following information:

Bill claims that he found the actual December temperature by adding either -5 + 3 or 3 +-5.

We know that are five properties of addition: closure property, commutative property, associative property, additive identity property of addition and additive inverse property.

The commutative property of addition means that if two numbers are added and their order is inversed then  the result of addition will always be the same.

For example, we get -2 by adding -5+3 and 3+(-5). The change in order of digits does not affect the final result.

Hence, the addition property used by Bill in finding the actual December temperature is the commutative property of addition.

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Answer:

a) p(X =2) = 0.261

b) P(x>2) = 0.566

c) P(2<x<5)  = 0.334

Step-by-step explanation:

Given 24% of U.S. adults say they are more likely to make purchases during a sales tax holiday

Probability 0f U.S. adults say they are more likely to make purchases during a sales tax holiday (p) = 0.24

                           n = 10

By using Poisson distribution

mean number of make purchases during a sales tax holiday

λ = np = 10 X 0.24 = 2.4

a)

The probability of getting exactly '2'

The probability

b) The probability of getting more than '2'

             = 0.090 + 0.2177+0.261 = 0.566

P(x>2) = 0.566

c) The probability of getting between  two and five

P( 2<x<5) = P(x=3)+p(x=4) =P(2<x<5) = 0.2090 + 0.125 = 0.334

hope this helps

The proportion of selling times is 0.35

From the question, we have

Selling Time___ Frequency

0 10____________3

10 20__________ 4

20 30__________ 6

30 40__________ 4

40 50__________ 3

Proportion of selling times in sample above that are less than 20 days :

total frequency = (3 + 4 + 6 + 4 + 3) = 20

Selling time which is less Than 20 days :

(0 - 10) = 3

(10 - 20) = 4

Total = (3 + 4) = 7

Proportion = selling time less Than 20 days / total frequency

= 7 / 20

= 0.35

Addition:

The phrase "the addition" refers to combining two or more numbers. Adding two numbers is indicated by the plus sign (+), therefore adding three is written as three plus three. Additionally, the number of times the plus symbol (+) is used is up to you. For example, 3 + 3 + 3 + 3. Mathematical addition is a crucial component of the learning curriculum for kids. In primary school, students learn simple addition sums such as one-digit facts, Math addition sums, and double-digit Math addition sums. One of the most fundamental and interesting Math concepts for elementary school children is addition sums. Math is a fascinating subject, and children first learn basic mathematical concepts like adding numbers in their early years.

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Answer: -2 isn’t a whole number and -1.2 isn’t a integer.

Answer:

x is 109°

hopefully this will help u

The conversion of the measurement of 65 lb will be 29483.5 g.

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

In this case, we need to convert 65 lb to g

It should be noted that we have to multiply the weight value by 453.5

Therefore, it should be noted that 65 lb will be:

= 65 x 453.5

= 29483.5 g.

Therefore, it should be noted that the conversion of the measurement of 65 lb will be 29483.5 g.

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The number of downloads that were standard version were 560 songs.

The first step is to form a system of equations:

2.9s + 4.5h = 5629 equation 1

s + h = 1450  equation 2

Where:

Multiply equation 2 by 4.5:

4.5s + 4.5h = 6525 equation 3

Subtract equation 3 from equation 1:

896 = 1.6s

Divide both sides of the equation by 1.6:

s = 560

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Answer:

yes, if the labor takes 150 minutes (or 2h 30 minutes)

Step-by-step explanation:

m + 350 = 2m + 200

2m - m = 350 - 200

m = 150