g A mid-sized tech company believes that 60% of its employees get no regular exercise, 25% exercise sporadically, while 15% engage in regular exercise. You suspect that this numbers may have changed due to a recent exercise campaign targeting the company employees. From a random sample of 470 employees, you find that 255 do not engage in regular exercise, 125 exercise sporadically, and 90 engage in regular exercise. Based on this data, is there enough evidence to suggest that the numbers have changed

Answer:

I think it is x-2 and x=8

Hope it helps

The two numbers that sum to -6 and have a product of 12 are -3 ± √3i and -3 ± √3i respectively.

A numerical data is also referred to as a quantitative data and it can be defined as a data set that is primarily expressed in numbers (numerals) only. This ultimately implies that, a numerical data simply refers to a type of data set consisting of numbers (numerals) rather than words.

An expression can be defined as a mathematical equation which is used to show the relationship existing between two or more variables and numerical quantities.

In order to solve this word problem, we would assign variables to the unknown numbers and then translate the word problem into algebraic equation as follows:

Let the two unknown numbers be x and y.

Translating the word problem into an algebraic equation, we have;

Sum: x + y = -6     .....equation 1.

Product: xy = 12       ....equation 2.

From equation 1, we have:

x = -6 - y

Substituting equation 3 into equation 2, we have:

(-6 - y)y = 12

-6y - y² = 12

y² + 6y + 12 = 0

Solving the quadratic equation, we have:

y = -3 ± √3i

For the value of x, we have:

x = -6 - y

x = -6 - (-3 ± √3i)

x = -6 + 3 ± √3i

x = -3 ± √3i

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Answer:3:1

Step-by-step explanation:

Given

There are 27 solid spheres of  radius x cm

The volume of a sphere is [tex]\frac{4}{3}\pi r^3[/tex]

The volume of 27 old spheres is the same as the volume of a new sphere

The volume of the old spheres is

[tex]V_o=\dfrac{4}{3}\pi x^3[/tex]

The volume of a new sphere is

[tex]V_n=\dfrac{4}{3}\pi y^3[/tex]

Now,[tex]V_o=V_n[/tex]

[tex]\Rightarrow 27\times \dfrac{4}{3}\pi x^3=\dfrac{4}{3}\pi y^3\\\\\Rightarrow (\dfrac{x}{y})^3=27\\\\\Rightarrow \dfrac{x}{y}=3[/tex]

Answer: x is 13

Step-by-step explanation:

90 - 67 is 23. Then you figure out what times 2 minus 3 is 23. Which would be 13. 13 times 2 is 26 minus 3 is 23. 67 + 23 is 90 ( right triangle)

Answer:

x=13

Step-by-step explanation:

The two angles are complementary, meaning that they both add up to 90°.

So, since we know that one of the angles is 67°, we can find the other one by subtracting 67 from 90.

90-67=23

So the equation is equal to 23.

2x-3=23

Add 3 to both sides.

2x=26

Divide both sides by 2.

x = 13

Answer:

C) 50

Step-by-step explanation:

50

Answer:

C: 50

Step-by-step explanation:

The inner diamond has congruent sides

Half of the line segment on the left is 25.

The other half of the left line segment is also 25

Together, the left line segment is 50 units

The inner diamond has both 90 degree angles and 18 unit long sides

Thus, we know that both sides are congruent

Finally, the right side is the same length as the left side

The right side is 50 units long

Answer: The answer on 39 is c and theanswer on 40 is J

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

The value of x=34 will make parallelogram ABCD a rhombus.

Eli will bike 20.5 miles in 2 hours

Firstly ,

We know 1 minute = 60 seconds

Then 15 feet / seconds = 15*60 = 900 feet

Eli bikes 900 feet in one minute

Now, We know

1 hour = 60 minutes

900*60=54000 feet

In 1 hour Eli bikes 54000 feet

In 2 hours Eli bikes 54000*2 = 1,08,000 feet

Now for converting feet into miles

1 mile = 5.280 feet

For 1,08,000 feet

1,08,000 / 5.280

= 20.4545 ≈ 20.5

Hence In 2 hours Eli bikes 20.5 miles

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Answer:

29

Step-by-step explanation:

Answer:

20.5

Step-by-step explanation:

u have the answer it shouldnt be difficult for u to solve for 3/7 x 48

Answer:

20.5714285714

Step-by-step explanation:

multiply 48×3÷7=144÷7=20.5714285714

Answer:

450

Step-by-step explanation:

Answer:

∠3 = 18°

∠4 = 144°

∠2 = 36°

∠1 = 72°

Step-by-step explanation:

From the concept of alternate interior angles,

∠3 = 18°

Since the diagonal divides the rectangle into 4 parts with 2 of the rectangles being similar.

Then, the triangle with ∠3 & ∠4 is an Isosceles triangle and as such;

∠4 = 180 - 2(∠3)

∠4 = 180 - 2(18)

∠4 = 180 - 36

∠4 = 144°

∠2 = 180 - ∠4 (because sum of angles on a straight line is 180°)

∠2 = 180 - 144

∠2 = 36°

Like it was done for angle ∠4 above;

∠1 = (180 - 36)/2

∠1 = 144/2

∠1 = 72°

Answer:

Hey! Do we have options?

Step-by-step explanation:

Either way, 2x4/6 is simplified to...

4/3,1.3 ,1 1/3

Hope this helps!

Have a nice day <3

The value of set of models is equivalent to the expression 2 x 4/6 is,

⇒ 4 / 3

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Given that;

The expression is,

⇒ 2 × 4/6

Now, We can simplify as;

⇒ 2 × 4/6

⇒ 8/6

⇒ 4 / 3

Thus, The value of set of models is equivalent to the expression 2 x 4/6 is,

⇒ 4 / 3

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Answer:

ching song

Step-by-step explanation:

blig blong

Answer:

D. 39000 m

Step-by-step explanation:

13 km * 3 week * 1000 m(=1 km) = 39000m

Answer:

they are 0.2 apart from each other and can easily be shown on a number line

Step-by-step explanation:

Answer:

A = 6 u²

Steps:

A = (4×3)/2

A = 12/2

A = 6 u²

Answer: it could be d

By I’m smart

Step-by-step explanation:

Answer:

49[tex]\frac{1}{3}[/tex]

Step-by-step explanation:

I'm going to assume the number on the right side of the equation is 5.5, just to make things easier.

Now, to begin to solve this, first isolate the variable.

1/8y - 2/3 = 5 1/2

We do this by adding 2/3 to both sides.

1/8y = 5 1/2 + 2/3

Now, we just wipe off the coefficient that is stuck to the variable by dividing both sides by 1/8, which can be easier done by multiplying by the reciprocal (I converted the mixed number into an improper fraction before solving to facilitate the process).

y = (37/6) · 8

y = 296/6

y = 49 2/6 = 49 1/3

Answer:

so the answer is+$:$_1;28_6(4?3926$54;2(the 35$$-(3836252;3(837353+3(383635;33(836$-

Step-by-step explanation:

thanks me later

Answer:

B will the correct answer.

Step-by-step explanation:

1/2 + 2/3 = 7/6 = 1 1/6

1/3 + 1/8 = 11/24

3/4 + 3/5 = 27/20 = 1 7/20

4/5 + 7/10 = 15/10 = 1 1/2

1 1/6 > 1

11/24 > 1

1 7/20 > 1

1 1/2 > 1

Answer:

um

Step-by-step explanation:

um

Answer:

Step-by-step explanation:

What do we know: hypotenuse and the adjacent.

SOH CAH TOA

Cos(14)/1 = x/480

Answer = 465.74

Answer:

king, queen, jack, ace

Step-by-step explanation:

this depends on what game's rules and scoring you're using, but I'd say the face cards

Answer:

22.073

Step-by-step explanation:

1.573+20.5=22.073

22.073= 7.358

Answer:

A

Step-by-step explanation:

X always come first. right is adding left is subtracting

y comes second, up is adding down is subtracting.

say we start on the origin, the new quardnates would be

(2,-3)

Answer:

Step-by-step explanation:

[tex]9x + 1 + 5x + 12 + 10x - 37 = 360[/tex]

[tex]24x - 24 = 360[/tex]

Add 24 to both sides

24x/24=384/24

[tex]answer = 16[/tex]

hope it helps!!

Answer:

0.83

Step-by-step explanation:

(a) z = (x - mean) / sd = (4000 - 3750) / 300 = 0.83

This corresponds to 0.7967 from the z-table, which represents how many last less than 4000 hours, so the answer is 1 - 0.7967 = 0.2033

(b) It will be P(x<4000) - P(x>3600) = 0.7967 - whatever the corresponding value is.

(c) same procedure as (b).

(d) 2% above corresponds to 0.02 which is a z-score of -2.05

-2.05 = (x - 3750) / 300

x = 3135

Answer:

If $1: 1500 items

If $20: 75 items

If those answers are not applicable, divide 1500 by whatever the cost of the shoes he is selling — that will be how many he will need to sell.

Step-by-step explanation:

So first lets set up an equation to figure this out.

So we know that he makes 20% based off of sales, so we’ll convert this to a decimal:

20% -> .20

Next we’ll make an equation to see what is needed to get at least $500.

0.20x + 200 = 500

Next we’ll have to get x by itself.

[tex]0.20x + 200 = 5000.20x = 300[/tex]

Next divide both sides:

[tex]X = 1500[/tex]

So if he is making sales of $1 he will need to sell 1500 items.

If he is selling them at $20, he will need to sell 75 items.

What ever the price value is for the items, divide that from 1500.