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NemiM [27]
2 years ago
8

Out of 80 workers surveyed at a company, 11 walk to work A. What is the experimental probability that a randomly selected worker

at that company walks to work B. Predict about how many of the 3,700 workers at the company walk to work
Mathematics
1 answer:
s344n2d4d5 [400]2 years ago
8 0

Answer:

Below.

Step-by-step explanation:

A. Required probability = 11/80.

B. 3700 * 11/80 = 508.75 so the predicted number would be 509.

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Write the number 45.78 trillion in scientific notation.
beks73 [17]
Without scientific notation<span> it would look like 4 000 000 000 000 </span>
<span>The decimal place must be moved 12 units to the left to be after a significant figure, thus giving the scientific notation to the power of 12. The significant figure is 4 so you get the equation </span><span>4.0⋅<span>1012</span></span>.
<span>

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4 0
3 years ago
Consider the following hypothesis test: H 0: 20 H a: &lt; 20 A sample of 60 provided a sample mean of 19.5. The population stand
viva [34]

Answer:

We reject the null hypothesis and accept the alternate hypothesis. Thus, it be concluded that the population mean is less than 20.          

Step-by-step explanation:

We are given the following in the question:

Population mean, μ = 60

Sample mean, \bar{x} = 19.5

Sample size, n = 60

Alpha, α = 0.05

Population standard deviation, σ = 1.8

First, we design the null and the alternate hypothesis

H_{0}: \mu = 20\\H_A: \mu < 20

We use One-tailed z test to perform this hypothesis.

Formula:

z_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{\sigma}{\sqrt{n}} }

Putting all the values, we have

z_{stat} = \displaystyle\frac{19.5 - 20}{\frac{1.8}{\sqrt{60}} } = -2.151

Now, z_{critical} \text{ at 0.05 level of significance } = -1.64

Since,  

z_{stat} < z_{critical}

We reject the null hypothesis and accept the alternate hypothesis. Thus, it be concluded that the population mean is less than 20.

5 0
3 years ago
ABCD is a rectangle and AC and BD are its diagonals. If AC = 10 cm, then BD is?
kiruha [24]

Answer:

A. 10 cm

Step-by-step explanation:

In a right angled triangle, a² + b² = c² where c is the diagonal or hypotenuse. If you split a rectangle diagonally into two right angle triangles, the a and b of both triangles would be the same length. Therefore, the c or diagonals would also be the same length - 10 cm.

Hope this helps!

5 0
2 years ago
Read 2 more answers
Which inequality is true when the value of R is 18? I'ma shower the answers i can choose in the picture ​
musickatia [10]

Answer:

See below:

Step-by-step explanation:

Hello! We can check to see if the inequality is true by replacing r with 18 as we have been told to find them in which 18 as r makes the equation true.

So our equations to test for are:

-r-3>-6\\-r+3

We can input 18 as r and then we see the following are correct:

1. No, as a -21 is not greater than -6

2. Yes, as -15 is less than 6.

3. No, as 21 is not greater than 6

4. No, as -15 is not greater than 6.

Cheers!

7 0
2 years ago
Pls awnser these i dont understand them, like i beg u
Gekata [30.6K]
It’s not a good idea to beg
4 0
2 years ago
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