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3 years ago

8

One hundred employees of a company are asked how they get to work and whether they work full time or part time. The table below

shows the results. If one of the 100 employees is randomly selected, find the probability that the person drives alone or bicycles to work.
public transportation: fulltime-9 parttime-8
bicycle: fulltime-3 parttime-4
drive alone:fulltime-32 parttime-28
carpool:fulltime-9 parttime-7

2 answers:

MrRissso [65]3 years ago

6 0

I would love to help but try drive alone

pshichka [43]3 years ago

6 0

Answer:

0.67

Step-by-step explanation:

There are 3+4 = 7 people who bicycle to work. There are 32+28 = 60 people who drive alone to work. This makes 7+60 = 67 people.

This makes the probability 67/100 = 0.67.

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What is the scale factor from ABC to DEF?

ollegr [7]

Answer:

C

Step-by-step explanation:

The scale factor is the ratio of corresponding sides, image to original, so

scale factor = $\frac{EF}{BC}$ = $\frac{11}{66}$ = $\frac{1}{6}$ → C

8 0

3 years ago

Kathy is fencing in her yard that has an area of 800 square feet. Her yard is in the shape of a rectangle where the length is 60

anygoal [31]

Answer:

The dimensions of the yard are W=20ft and L=40ft.

Step-by-step explanation:

Let be:

W: width of the yard.

L:length.

Now, we can write the equation of that relates length and width:

$L=5W-60$ (Equation #1)

The area of the yard can be expressed as (using equation #1 into #2):

$Area=W*L=W*(5W-60)$ (Equation #2)

Since the Area of the yard is $800 ft^2$ , then equation #2 turns into:

$800=W*(5W-60)$

Now, we rearrange this equation:

$800=W*(5W-60)//800=5W^2-60W//5W^2-60W-800=0$

We can divide the equation by 5 :

$W^2-12W-160=0$

We need to find the solution for this quadratic. Let's find the factors of 160 that multiplied yields -160 and added yields -12. Let's choose -20 and 8, since $(-20)*8=160$ and $-20+8=-12$ . The equation factorised looks like this:

$(W-20)(W+8)=0$

Therefore the possible solutions are W=20 and W=-8. We discard W=-8 since width must be a positive number. To find the length, we substitute the value of W in equation #1:

$5*20-60=40$

Therefore, the dimensions of the yard are W=20ft and L=40ft.

7 0

3 years ago

Determine the constant of variation for the direct variation given. Type a numerical answer in the space provided.

Andreyy89

Answer:

B. 4

Step-by-step explanation:

Determine the constant of variation for the direct variation given.

(0, 0), (3, 12), (9, 36)

A. 3

B. 4

C.12

Direct variation is given by:

y = kx

Where,

k = constant of variation

(3, 12)

x = 3; y = 12

y = kx

12 = k*3

12 = 3k

k = 12 / 3

k = 4

(9, 36)

x = 9; y = 36

y = kx

36 = k * 9

36 = 9k

k = 36 / 9

= 4

k = 4

Constant of the variation = 4

5 0

3 years ago

Need help, have to submit this very soon!!

Brut [27]

Answer:

see explanation

Step-by-step explanation:

length = $\frac{60}{8}$ = 7.5 in

scale factor = $\frac{image}{original}$ = $\frac{8}{60}$ = $\frac{2}{15}$

---------------------------------------------------

length = $\frac{192}{4}$ = 48 cm

scale factor = $\frac{omage}{original}$ = $\frac{4}{192}$ = $\frac{1}{48}$

5 0

3 years ago

Given that log 2 = 0.3010 and log 3 = 0.4771 , how can we find log 6 ?

bearhunter [10]

Answer:

$\sf \log_{10}6=0.7781$

Step-by-step explanation:

<u>Given</u>:

$\sf \log_{10} 2 = 0.3010$

$\sf \log_{10} 3 = 0.4771$

To find log₁₀ 6, first rewrite 6 as 3 · 2:

$\sf \implies \log_{10}6=\log_{10}(3 \cdot 2)$

$\textsf{Apply the log product law}: \quad \log_axy=\log_ax + \log_ay$

$\implies \sf \log_{10}(3 \cdot 2)=\log_{10}3+\log_{10}2$

Substituting the given values for log₁₀ 3 and log₁₀ 2:

$\begin{aligned} \sf \implies \log_{10}3+\log_{10}2 & = \sf 0.4771+0.3010\\ & = \sf 0.7781 \end{aligned}$

Therefore:

$\sf \log_{10}6=0.7781$

Learn more about logarithm laws here:

brainly.com/question/27953288

brainly.com/question/27963321

5 0

1 year ago

Read 2 more answers