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Gre4nikov [31]
3 years ago
13

The time it takes runners to complete a certain marathon are normally distributed with a mean of 4.6 hours and a standard deviat

ion of 1.1 hours
What is the time for a runner with a z-score of -1.2

Round to the nearest hundredth
Mathematics
1 answer:
Yuki888 [10]3 years ago
7 0
The time for this z-score is 3.28.

The formula for z-scores is

z = (X-μ)/σ

Using our information, we have

-1.2 = (X-4.6)/1.1

Multiply both sides by 1.1:
-1.2(1.1) = X - 4.6
-1.32 = X - 4.6

Add 4.6 to both sides:
-1.32 + 4.6 = X - 4.6 + 4.6
3.28 = X
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Linda knitted 1/6 of a sweater on Friday and 2/9 of the sweater on Saturday. On Sunday she knitted 1/2 of the remaining sweater.
sladkih [1.3K]
This is pretty simple. All you have to do is make the first and second fraction share a denominator by multiplying them by each other.

6 <span>• 9 = 54

Then multiply each numerator by the opposing denominator.

1 </span><span>• 9 = 9

2 </span><span>• 6 = 12

Here are the new fractions:

9/54

12/54

Now add the 9 and 12 together.

9 + 12 = 21

The complete fraction:

21/54

Subtract 21 from 54 so you can get the remainder of the sweater.

54 - 21 = 33

This is the remainder fraction:

33/54

Can you simplify this? Yes, of course! They can both be divided by 3!

11/18

That is the remainder of the sweater. But you still have to divide it in half! After all, Linda only knitted half of the remaining sweater. Dividing it in half can be done just by multiplying the denominator by 2.

11/36

That should be your answer! Apologies if I got something wrong.</span>
7 0
4 years ago
22.a) A fruit vendor bought 1948 oranges on a Thursday and sold 750 of them on the same day.
iVinArrow [24]

Answer: Ksh 6144

Step-by-step explanation:

On Thursday, a fruit vendor bought 1948 oranges on a Thursday and sold 750. The number of oranges left will be: = 1948 - 750 = 1198

On n Friday, he sold 240 more oranges than on Thursday. This means the number of oranges sold is: = 240 + 750 = 990.

The number for f oranges left will then be: = 1198 - 990 = 208

On Saturday, he bought 560 more

oranges, the total oranges that the vendor has now will be:

= 208 + 560 = 768

Since sold all the oranges he had at a price of Ksh. 8 each, the amount if money made will be:

= Ksh 8 × 768

= Ksh 6144

The vendor made Ksh 6144

7 0
3 years ago
Draw a number line to represent the inequality.<br> 8&gt;x
Lilit [14]
Thts the answer because 8 is bigger than X the arrow goes to the left because 8 is bigger than numbers 1-7

6 0
4 years ago
Distributive property to rewrite the following expression<br><br> n(r + s)
mel-nik [20]
It would be, nr + ns
4 0
3 years ago
Read 2 more answers
How much of other chemicals must be evaporated from 400 grams of a hand sanitizer
yulyashka [42]

Answer:

24 g

Step-by-step explanation:

We first find the mass of 24 % alcohol in 400 g of hand sanitizer. Let x be the mass of alcohol. So, x/400 × 100 % = 24 %

x/400 = 0.24

x = 0.24 × 400

  = 96 g

The mass of the other chemicals is thus 400 g - 96 g = 304 g

We now find the mass of 30 % alcohol in 400 g of hand sanitizer. Let y be the mass of alcohol. So, y/400 × 100 % = 30 %

y/400 = 0.30

y = 0.30 × 400

  = 120 g

The mass of the other chemicals is thus 400 g - 120 g = 280 g

The mass of other chemicals that needs to be evaporated is thus 304 g - 280 g = 24 g

5 0
3 years ago
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