The mean exam score for the first group of twenty examinees applying for a security
job is 35.3 with a standard deviation of 3.6.
The mean exam score for the second group of twenty examinees is 34.1 with a
standard deviation of 0.5. Both distributions are close to symmetric in shape.
a. Use the mean and standard deviation to compare the scores of the two groups.
b. The minimum score required to get an in-person interview is 33. Which group
do you think has more people get in-person interviews?

Answer: 4?

Step-by-step explanation:

The distance of ship from the base of the lighthouse is 328.54m, as found with the help of angle of depression.

Given:

To find: Distance of ship from the base of the lighthouse.

Finding:

Let 'x' be the distance of the ship from the base of the lighthouse and θ be the angle of depression.

Then, tanθ = [tex]\frac{160}{x}[/tex]

=> x = [tex]\frac{160}{tan26}[/tex]

=> x = [tex]\frac{160}{0.487}[/tex]

=> x = 328.54m

Hence, The distance of ship from the base of the lighthouse is 328.54m, as found with the help of angle of depression.

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Given function:

Let the inverse is y = f⁻¹(x).

Swap x and y in the given function and solve for y:

The inverse of the given function is:

Answer:

f-¹(x) = √(x)/3

Step-by-step explanation:

Now we have to,

→ find the inverse of f(x)=9x²

Then the inverse function will be,

→ f(x) = 9x²

→ y = 9x²

→ 9y² = x

→ y² = x/9

→ y = √(x/9)

→ [ y = √(x)/3 ]

Hence, the inverse is √(x)/3.

Answer:i hope this helps

Step-by-step explanation:add all the terms together and divide by the amount of terms given

Answer:Your answer would be E

Step-by-step explanation:8 times 6 would be 48

The measure of height of each triangle will be 4√3 cm. Then the correct option is B.

All the sides of the regular polygon are congruent to each other. The perimeter of the regular polygon of n sides will be the product of the number of the side and the side length of the regular polygon.

P = (Side length) x n

A regular hexagon is divided into 6 congruent triangles. If the perimeter of the hexagon is 48 centimeters.

Then the Side length of each triangle will be given as,

48 = (Side length) x 6

Side length = 8 cm

Then the measure of the height of each triangle will be calculated as,

tan 60° = h / (8 / 2)

√3 = h / 4

h = 4√3 cm

The measure of height of each triangle will be 4√3 cm. Then the correct option is B.

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Answer:

3:22!

Step-by-step explanation:

Answer:

3:22 p.m.

Step-by-step explanation:

30 minutes before 3:52 p.m.

think of hours and minutes separately for now

3hours

52 minutes

if you are trying to find the time 30 minutes before 3:52 subtract 30 from 52 then put your hours and minutes side by side with a colon (:) in between

3:22

Add a.m. if its after midnight and p.m. if it's after noon

Answer:

Step-by-step explanation:

Answer:

I believe the answer is 943,158,670.349

Step-by-step explanation:

Can I have brainliest? It would help me out, if not thanks anyways! Hope this helped and have a nice day!

The value of the expression is -65.

It should be noted that the function given is illustrated as:

-2 - 5x -7 - 9x

In this case, you've to put the value of x as 4.

This will be:

= -2 - 5x -7 - 9x

= -2 - 5(4) - 7 - 9(4)

= -2 - 20 - 7 - 36

= -65

Therefore, the value of the expression is -65.

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Answer:

x=17/99

Step-by-step explanation:

Lets break this problem down ^^

Let x= 0.171717...

100x = 17.1717...

100x=17.1717.. - x=0.171717...

99x=17

x= 17/99

Hope this helps!! ^^

Answer:

Step-by-step explanation:

(5/8 + 6/8)/(-4/6 - 5/6)

(11/8)/(-9/6)

(11/8)*(-6/9)

= -66/72 = -11/12

Answer:

11/12

Step-by-step explanation:

5/8 + 3/4 = 1 3/8

-2/3 - 5/6 = 1 1/2

1 3/8 divided by 1 1/2 = 11/12

The expression in simplified form is -19√2

The expression is given as:

2√2 - 7√18

Express 18 as 9 * 2

So, we have:

2√2 - 7√18 = 2√2 - 7√(9 * 2)

Take the square root of 9

2√2 - 7√18 = 2√2 - 7 * 3√2

This gives

2√2 - 7√18 = 2√2 - 21√2

Evaluate the difference

2√2 - 7√18 = -19√2

Hence, the expression in simplified form is -19√2

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Answer:

1/2

Step-by-step explanation:

-put 3/8 and 3/4 side-by-side.

-keep 3/8

-change the division sign to a multiplucation sign

-flip 3/4 to 4/3

-multiply

Answer:

-1

Step-by-step explanation:

3 - 4 = -1

When dealing with subtraction, you must be very careful with the order you place your numbers in. Let alone, subtraction is important in real-world situations, so just something to help. :)

______________________________

Wrapping up:

➲ Hope this helps.

➲ Notify me of any concerns, and I will address those concerns.

➲ Have a good day.

The expression for no. of bags of Takis Wayne ate each day is given by, b = 28/n.

Expresssion are mathemaical ways of writing staments.There are many types of mathematical expressions some of them are :- Algebraic expressions, Logarithmic expressions, Trigonometric expressions and many more.

Here the no. of days is represented by 'n' and total no. of bags of akis he ate is 28.

Assuming Wayne ate 'b' bags of Takis everyday.

∴ No. of bags of Takis each day multiplied by no. of days is equal to total no. of bags of Takis he ate which is numerical form is,

b×n = 28.

So, The expression for no. of bags of Takis Wayne ate each day is ,

b = 28/n.

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The value of the given question by using the above pattern is (i)127, (ii)397, (iii)1141, (iv)7651.

In the real world, in artificial design, or in abstract concepts, a pattern is a regularity. As a result, a pattern's components repeat in a predictable way. Any of the senses can directly witness patterns, which are types of patterns made of geometric shapes and frequently repeated like wallpaper designs. On the other hand, abstract patterns in science, math, or language might only be visible through analysis. In actuality, direct observation entails recognizing visual patterns, which are common in both nature and art. Natural visual patterns are frequently chaotic, hardly ever precisely repeat, and frequently contain fractals. Spirals, meanders, waves, foams, tilings, fissures, and patterns produced by rotational and reflective symmetries are examples of natural patterns.

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Answer:

A=3

Step-by-step explanation:

-7a+28=7

subtract 28 from both sides to eliminate it from the first side

-7a=-21

Two negatives equals a positive

7a=21

divide both sides by 7

a=3

If there is an increase in the equilibrium quantity of hamburgers, the supply shift in the market must have been greater than the demand shift.

Assuming that all demand-shift factors remain constant, the hamburger demand curve illustrates the relationship between hamburger price and quantity required by consumers. The factors influencing how many hamburgers consumers desire to purchase at a particular price are known as demand determinants.

If the price of hamburgers increases, the demand curve will move from the previous price to the new price. However, if any of the demand-shift variables change, such as the cost of hot dogs, the cost of hamburger buns, or the income of hamburger consumers, the demand curve will alter.

Demand is where the demand curve is located. Demanded quantity is the volume that customers want to purchase.

The position of the supply curve is referred to as supply. The quantity of supplies you desire to sell is referred to as the quantity supply.

In this instance, an increase in supply will result in a fall in the equilibrium price and a movement all along the demand curve. The quantity demanded changes, while the demand curve does not.

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The minimum and maximum numbers of hours the train will travel at that speed are 1.17 and 1.5

The given parameters are

Speed = 90 miles per hour

Current speed = next 120 miles, plus or minutes 15 miles.

Let the time travelled be x

So, we have the following equation

Speed * Time = Distance

This gives

|90x - 120| =15

Remove absolute bracket

90x - 120 = ±15

Add 120 to both sides

90x = 120 ±15

This gives

90x = (120 - 15, 120 + 15)

Evaluate

90x = (105, 135)

Divide by 90

x = (1.17, 1.5)

Hence, the minimum and maximum numbers of hours the train will travel at that speed are 1.17 and 1.5

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Answer:18

Step-by-step explanation:2*9=18 hope this helps

Answer:

18 chapters have been read in total.

Step-by-step explanation:

The distance between the points = |-6 2/3 - 4 1/3| = |-20/3 - 13/3| = |-33/3| = |-11| = 11 units.

The distance between two points on a number line is the absolute difference between their coordinates.

Given the following points are on a number line:

-6 2/3 and 4 1/3

The distance between the points = |-6 2/3 - 4 1/3|

The distance between the points = |-20/3 - 13/3|

The distance between the points = |(-20 - 13)/3|

The distance between the points = |-33/3| = |-11|

The distance between the points = 11 units.

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Answer:

hhrhrthrtht

Step-by-step explanation:

Answer:

57?

Step-by-step explanation:

35-(-22)

Answer:

steps

-5-5(-5/3)

=-5-(-25)

=10/3

=3 1/3

Step-by-step explanation:

Answer:768

Step-by-step explanation:

The price of one section represent  $2.

We will use the tape diagram to represent the sale price and regular price of the item.

We know that percentage is used to represent the fractions of a whole number.

Here, the regular price is the whole number, and the discount and discounted price represent the fractions.

The coupon she used is 30%, which means 30% off the regular price is the discounted price. We know that 30% + 70% = 100%. This means Mia paid 70% of the regular price for the backpack.

Refer to the attached image for the tape diagram.

By looking at the tape diagram attached, it is clear that 7 sections are used to show the discounted price.

If the discounted price is $14,

The price of one section = $14/7 =  $2

Therefore, the price of one section is $2.

⇒The regular price = 10 × price of one section = 10 × $2 = $20.

So, Peter needs to pay $20 to buy a similar backpack.

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Disclaimer:

The given question is incomplete.

Assume the following as the complete question.

Mia told Peter that her new backpack only cost $14 because she used a 30% off coupon when she bought it. Peter wants to buy a similar backpack. How much will it cost if he does not have a 30% off coupon?

Ethan makes in a week = $812.5

Given :

Total sales for the week = $1250

a guaranteed salary = $500

paid a commission on top of his base salary (Percentage commission) = 25%

Time and work problem:

Work Done = Time Taken × Rate of Work

Rate of Work = 1 / Time Taken

Time Taken = 1 / Rate of Work

If a piece of work is done in x number of days, then the work done in one day = 1/x

Total Wok Done = Number of Days × Efficiency

Efficiency and Time are inversely proportional to each other

X:y is the ratio of the number of men who are required to complete a piece of work, then the ratio of the time taken by them to complete the work will be y:x

Solution :

Amount of commission earned = 25% of $1250

= 25/100 × $1,250

= 0.25 × 1250

= $312.5

Total earnings = Base salary + Amount of commission earned

= $500 + $312.5

= $812.5

Ethan makes in a week = $812.5

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Answer:

15.17

Step-by-step explanation:

Since the third vertex is located on the negative branch of the x-axis, the coordinates of the third vertex of this triangle is equal to (-15, 0).

In Geometry, there are different types of triangle based on the length of their sides and angles, and these are;

Mathematically, the area of a triangle can be calculated by using this formula:

Area = 1/2 × b × h

Where:

Note: The height of this triangle is the y-axis of (6, 4).

Substituting the given parameters into the formula, we have;

Area = 1/2 × b × h

30 = 1/2 × b × 4

2b = 30

b = 30/2

b = 15 units.

Since the third vertex is located on the negative branch of the x-axis, the coordinates of the third vertex of this triangle is equal to (-15, 0).

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Complete Question:

Two vertices of an obtuse triangle are (6,4) and (0,0). The third vertex is located on the negative branch of the x-axis. What are the coordinates of the third vertex if the area of the triangle is 80 square units?