you were asked to find the value of z such that 0.05 of the area lies to the right of z. see below for graphical and symbolic representations of the problem.

Answer:

58,5km/h

Step-by-step explanation:

Vyork-leeds=45km/h

Vleeds-blackpool=72km/h

(45+72):2=58,5km/h

The number of hours Jackson worked washing cars is 8 hours and the number of hours he worked landscaping is 6 hours

The payment of car washing per hour = $10

The payment for landscaping = $12

Total number of hours worked = 14  hours

Number of hours worked in car washing = x

Number of hours worked in landscaping = y

Then the first equation will be

x + y = 14

x = 14 - y

Total amount he earned = $152

Next equation will be

10x + 12y = 152
Here we have to use substitution method

10(14-y) + 12y = 152

140 - 10y +12y = 152

140 + 2y = 152

2y = 152 - 140

2y = 12

y = 12/2

y = 6 hours

Then

x = 14 - y

x = 14 -6

x = 8  hours

Hence, the number of hours Jackson worked washing cars is 8 hours and the number of hours he worked landscaping is 6 hours

Learn more about substitution method here

brainly.com/question/14619835

#SPJ1

The person at the 300th number will get a t-shirt and a gift card both.

Given, at the grand opening of a sporting goods store, the store is giving a free shirt to every 12th person who attends.

They give a $25 gift card to every 30th person.

We have to find that which person will get both a t-shirt and a gift card.

To find the person who will get both, we have to find the LCM of 12 and 25.

As, the LCM of 12 and 25 is 300

So, the person at the 300th number will get a t-shirt and a gift card both.

Hence, the person at the 300th number will get a t-shirt and a gift card both.

Learn more about LCM and HCF here https://brainly.com/question/26431349

#SPJ1

Sydney's age is 43 years.

According to the question,

We have the following information:

Devaughn is 13 years older than Sydney. The sum of their ages is 99.

Let's take the age of Devaughn to be x years and the age of Sydney to be y years.

So, Devaughn's age can be expressed using the following expression:

y = 13+x years

Now, we have the following expression for the sum of their ages:

x+13+x = 99

2x+13 = 99

Moving 13 from the left hand side to right hand side will result in the change of the sign from plus to minus:

2x = 99-13

2x = 86

x = 86/2

x = 43 years

Hence, Sydney's age is 43 years.

To know more about age here

https://brainly.com/question/28686134

#SPJ1

Answer:

40, leg

Step-by-step explanation:

The triangle has side lengths of 9, 40, and 41.

41 is the hypotenuse, so 40 is a leg.

Answer:

x = 4

Step-by-step explanation:

8(x - [tex]\frac{5}{2}[/tex] ) = 3x ← distribute the parenthesis by 8

8x - 20 = 3x ( subtract 3x from both sides )

5x - 20 = 0 ( add 20 to both sides )

5x = 20 ( divide both sides by 5 )

x = 4

The minimum sample size required for a 94% confidence interval with a margin of error of 0.007, using the z-distribution, is of:

18,033.

A confidence interval of proportions has the bounds obtained by the rule presented as follows:

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which the variables used to calculated these bounds are presented and explained as follows:

The margin of error is given by:

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

The confidence level is of 94%, hence the critical value z is the value of Z that has a p-value of [tex]\frac{1+0.94}{2} = 0.97[/tex], so the critical value is z = 1.88.

We have no estimate of the population proportion, hence we consider [tex]\pi = 0.5[/tex], which is when the largest sample size is required.

The margin of error is of M = 0.007, hence the sample size required is obtained as follows:

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

[tex]0.007 = 1.88\sqrt{\frac{0.5(0.5)}{n}}[/tex]

[tex]0.007\sqrt{n} = 1.88 \times 0.5[/tex]

[tex]\sqrt{n} = \frac{1.88 \times 0.5}{0.007}[/tex]

[tex](\sqrt{n}) = \left(\frac{1.88 \times 0.5}{0.007}\right)^2[/tex]

n = 18,033.

The sample size was rounded up, as a sample size of 18,032 would result in a margin of error slightly above the desired 0.007.

More can be learned about the z-distribution at https://brainly.com/question/25890103

#SPJ1

Answer:

33, 34

Step-by-step explanation:

we must start solving this equation by letting a variable equal the smaller number

let n = smaller number

now the larger number is consecutive so you add one to n to get it

n + 1 is the bigger number

if you add them you get 67

n + n + 1 = 67

now solve

add like terms

2n + 1 = 67

subtract 1 from both sides

2n = 66

n = 33

the smaller number is 33

adding one to that will get you the larger integer

33 + 1 = 34

that is the larger integer

Answer: 115

Step-by-step explanation: trust me bro free lee

Two angles are supplementary if their sum is 180° thus the angle supplementary to angles m∠AED are m∠DEB and m∠AEC and their measure is 115° both.

The angle is the measurement of the angular distance for example for linear motion we have a meter inch but for angular rotation, we don't have the measurement so the angle is useful to measure the angular rotation.

As per the given lines, AB intersect CD at E has been drawn below,

m∠AED = 65° (given)

m∠AED + m∠DEB = 180° (supplementary)

m∠DEB = 180° - 65° = 115°.

m∠AED + m∠AEC = 180° (supplementary)

m∠AEC = 180° - 65° = 115°.

Hence "Two angles are supplementary if their sum is 180° thus the angle supplementary to angles m∠AED are m∠DEB and m∠AEC and their measure is 115° both".

For more about the angle,

brainly.com/question/13954458

#SPJ1

The answer to the given question is true. A chart where the data is arranged in vertical columns is called Column Chart, and this chart is useful for showing data changes over time or illustrating comparisons among items.

What is column chart?

Column chart is a type of chart that compares different object levels over time using a vertical format. It is a chart in which the data is arranged in columns and this is useful for showing data changes over a period of time or for illustrating comparisons among items.

Data that is arranged in columns or rows on a worksheet can be plotted in a column chart. In column charts, categories are typically organized along the horizontal axis and values along the vertical axis. Column charts are useful to show how data changes over time or to show comparisons among items.

Column charts are not useful when there are a lot of categories. Catagories organized along the x-axis, while numbers or numerical values ligned in the y-axis.

Learn more about column charts at: https://brainly.com/question/15507084

#SPJ4

[tex]y < -3x+1[/tex]

Graph below:

She can see the horizon till 2.604 meters when the person is standing at a height of 5.76 meters above sea level.

Given that,

If a person can see d kilometers into the distance from her eye level, which is h meters above sea level, then d=3.57 √h. Let's say the person is standing at a height of 5.76 meters above sea level.

We have to find she can see the horizon, but how far.

The SI unit of length is the meter. In addition to meters, length can also be expressed in other units like centimeters, inches, feet, and yards.

So,

d=h

3.57 √h= 5.76 meters

Divide both sides by 3.57

√h= 5.76 meter/ 3.57

√h=1.614

Squaring on both sides.

h=2.604

Therefore, She can see the horizon till 2.604 meters when the person is standing at a height of 5.76 meters above sea level.

To learn more about height visit: https://brainly.com/question/10726356

#SPJ1

Answer:

B. Subset

Step-by-step explanation:

A(n) subset is a member of a set

Answer: B

Step-by-step explanation:

100/9

11.1

11 1/9

The expression to find how many more customers visited the store on the first day is 5x - 2.

It's important to note that an expression is the statement that illustrates that the variables given. In this case, two or more components are taken into consideration to describe the scenario.

Since the number of customers in a store on the first day is represented by (6x-3) and the number of customers on the second day is represented by (x-1).

The number of more customers will be:

= Customers on first day - Customers on second day

= 6x - 3 - (x - 1)

= 6x - 3 - x + 1

= 5x - 2

Learn more about expressions on:

brainly.com/question/1859113

#SPJ1

Answer:

25 pounds of hamburger meat

Step-by-step explanation:

you need 15 pounds for 60 hamburgers.

We can turn this into a fraction.

15/60

now we need to make the denominator a power of ten.

15/60

=5/20

=25/100

She needs 25 pounds of hamburger meat

Step-by-step explanation:

190 = 5

? = 30

30 / 5 = 6

190 x 6 = 1140

As per the given data, loan amount is $35,000 with 2% simple interest for the time period of 8 years then monthly payment is equal to

$422.92.

As given in the question,

Loan amount taken from the bank is equal to $35,000

Simple interest rate is 2%

Time period = 8 years

Total interest paid is equal to

= Loan amount × Interest rate × time period

= 35,000 × 2% × 8

= (35,000 × 2 × 8) / 100

= $5600

Total amount to be paid

= Loan amount + Interest amount

= $35,000 + $ 5,600

= $ 40,600

Monthly payment done based on given interest and time period

= $40,600 / ( 8 × 12 )

= $ 40,600 / 96

= $ 422.92

Therefore, for the given data, loan amount is $35,000 with 2% simple interest for the time period of 8 years then monthly payment is equal to $ 422.92.

The complete question is:

Attending the university of Houston main campus ,the bank agrees to give you a loan of $35,000 with 2% simple interest over 8 years. How much will your monthly payments be?

Learn more about simple interest here

brainly.com/question/25845758

#SPJ4

[tex](\stackrel{x_1}{-6}~,~\stackrel{y_1}{1})\hspace{10em} \stackrel{slope}{m} ~=~ \cfrac{1}{2} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{1}=\stackrel{m}{ \cfrac{1}{2}}(x-\stackrel{x_1}{(-6)}) \implies y -1= \cfrac{1}{2} (x +6) \\\\\\ y-1=\cfrac{1}{2}x+3\implies {\Large \begin{array}{llll} y=\cfrac{1}{2}x+4 \end{array}}[/tex]

Answer:

with what

Step-by-step explanation:

lol

where is the picture..................x1000000000000000000

Answer:

y = -x - 4

Step-by-step explanation:

Given line: y = x - 1

Slope of given line = 1

The slopes of perpendicular lines are negative reciprocals, so the slope of the perpendicular line is -1.

slope = -1

point: (-6, 2)

y = mx + b

y = -x + b

2 = -(-6) + b

2 = 6 + b

b = -4

Equation:

y = -x - 4

Answer:

the answer is c.

Step-by-step explanation:

the slope will always have an x behind it and the y intercept is exactly as written

The distance is 252 inches.

What is distance?

The distance between two points is the length of a straight line segment that links them. The distance of a point from a line is the length of the shortest line segment from the point to the line.

Given

the length of shoes = 12 inch

The distance is equal to length of 21 of the shoes.

The total distance = 12×21

=252 inch

To know more about distance, visit:

https://brainly.com/question/19194686

#SPJ1

The solution to the system of equations (0.4, 1).

Given equations according to the question,

y = -5x+3

y = 1

Now we can use y = 1 and substitute the value of y in y = -5x+3

After substituting we get, the value of y we get,

= 1 = -5x+3

Now given points according to the questions are

(0.4, 1) , (0.8, 1), (1, 0.4), (1, 0.8).

We substitute these points in the equation to see which points satisfy the equation, the point satisfying the equation is our point.

First, we will use (0.4, 1)

= 1 = -5x+3

= 1 = -5×0.4 + 3

= 1 = -2+3

= 1 = 1

Hence (0.4, 1) is our first solution of the equation.

Then we will use (0.8 ,1)

= 1 = -5x+3

= 1 = -5×0.8 + 3

= 1 = -4+3

= 1 = -1

Hence (0.8, 1) is not out the solution to the equation.

Then we will use (1,0.4)

= 1 = -5x+3

= 1 = -5×1 + 3

= 1 = -5+3

= 1 = -2

Hence (1, 0.4) is not the solution to the equation.

Then we will use (1,0.8)

= 1 = -5x+3

= 1 = -5×1 + 3

= 1 = -5+3

= 1 = -2

Hence (1, 0.8) is not the solution to the equation.

To learn more about the system of equations and, coordinate geometry,

https://brainly.com/question/29329368

#SPJ4

Frequency of radiation with a wave length of 5.2 cm is 57.7x[tex]10^{8}[/tex]

The number of waves that pass a fixed point in unit time.

Given that, a frequency with a wave length of 5.2 cm

5.2 cm = 0.052 m

Frequency = f = c/λ

f = 3x[tex]10^{8}[/tex]/0.052 = 57.7x[tex]10^{8}[/tex] Hz

For more references on Frequency, click;

https://brainly.com/question/14316711

#SPJ1

From given set, 3x and x; 1/4 and 0.5; –m and 8m; –xy² and 2xy²;  –7 and 6 are the like terms combinations

In algebraic terms, the terms that contain the same variable and the same power or degree are called like terms, In algebraic like terms, the numerical coefficients can vary but are not variables.

Here are some examples of like terms and unlike terms,  

4x and 9x are like terms

3x²y and 10x²y are like terms

2xy and 10yx  are like terms

3x and 19y  are unlike terms  [ ∵ variable is different ]

2xyz and 2xy are unlike terms [ ∵ variables is missing in 2nd term ]

Here we have a set of algebraic terms that can be classified as given below

=> 3x and x    - like terms

=> 1/4 and 0.5 - like terms

=> –m and 8m - like terms

=>  –xy² and 2xy² - like terms

=> y and y² - unlike terms             [ ∵ powers are not same ]

=>  4xy and –5x²y  - unlike term  [ ∵ powers are not same ]

=> m and n  - unlike term              [ ∵ variables are not same ]  

=> –7 and 6  like terms

Therefore,

From given set, 3x and x; 1/4 and 0.5; –m and 8m; –xy² and 2xy²;  –7 and 6 are the like terms combinations

Learn more about Algebraic terms at

https://brainly.com/question/28261567

#SPJ1

The complete Question

Juan is learning about like terms in his math class. He must check all the combinations below that are like terms. Which ones should he check? Choose all that apply.

=> 3x and x    

=> 1/4 and 0.5

=> –m and 8m

=>  –xy² and 2xy²

=> y and y²

=>  4xy and –5x²y

=> m and n

=> –7 and 6

Using Simple Interest formula ,

The rate percent on amount of Rs.300 is 5.5 .

At same rate, R = 5.5 the principle 800 will be Rs1120 in next 7 years .

In first case we have given that ,

principle = Rs.350

time = 4 years

Amount = Rs 1120

simple interest = 1120-350 = Rs.770

let rate of interest be R% .

Using the formul of simple interest

S.I = P×R×t /100

=> 770 = 350×4×R/100

=> R = 5.5 %

In Second case , rate of interest is same as in first case. So,

Amount = Rs. 1120

Principle = Rs. 800

rate of interest (R)= 5.5

Again simple interest formula Used:

Simple Interest = (P × R × T)/100

Simple interest = 1120 - 800 = Rs. 320

Simple Interest = (P × R × T)/100

⇒ 320 = 800×5.5 ×T/100

=> T = 7.27 ~ 7

∴ In the given principle Rs 800 with same rate of interest will be 1120 in 7 next years .

To learn more about simple interest, refer:

https://brainly.com/question/25845758

#SPJ4

answer

Calculate the slopes of the 2 lines and compare them.

m = (y2 - y1)/(x2 - x1)

If they are equal, the lines are parallel. If one slope is the negative reciprocal of the other, the lines are perpendicular. If neither of these conditions are met, the lines are not parallel and are not perpendicular. You have all the information you need. Do the math.

Step-by-step explanation:

hope it helps