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Nat2105 [25]
2 years ago
6

Find the distance speed=96km/h time=20 mins

Mathematics
1 answer:
Alex_Xolod [135]2 years ago
6 0

Answer:

32km

Step-by-step explanation:

speed=96km/h

time=20mins=1/3hour

<h3>Distance=Speed×Time</h3>

➜96×1/3

➜96/3

➜32km

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I think of number, double it and add 11. I get 25 a) using the statement above, form an equation. Use the letter 'x' as a unknow
Misha Larkins [42]

Answer:

x = 7

Step-by-step explanation:

Let

x = the unknown number

double it :

2x

add 11:

2x + 11

I get 25:

The equation is

2x + 11 = 25

2x = 25 - 12

2x = 14

Divide both sides by 2

x = 14/2

x = 7

7 0
3 years ago
Estelle is helping at a community food drive by boxing up cans of soup. There are two sizes of boxes, large and small. Estelle f
podryga [215]

Answer:

The small box contains 21 cans

<em></em>

Step-by-step explanation:

Represent the small box with S and the large with L.

For Estelle:

3L + 5S = 170

For the boy:

4L + 4S = 184

Required

Determine the cans in the small box

3L + 5S = 170 --- (1)

4L + 4S = 184 --- (2)

Divide (2) through by 4

L + S = 46

Make L the subject

L = 46 -S

Substitute 46 - S for L in (1)

3L + 5S = 170

3(46 - S) + 5S = 170

Open bracket

128 - 3S + 5S = 170

128 + 2S = 170

Collect Like Terms

2S = 170-128

2S = 42

Divide both sides by 2

S = 21

<em>Hence, the small box contains 21 cans</em>

4 0
2 years ago
Read 2 more answers
Let X denote the number of flaws along a 100-m reel of magnetic tape (an integer-valued variable). Suppose Zdenote the number of
Lemur [1.5K]

Answer:

a) P(20 \leq X \leq 30) = P(20-0.5 \leq X \leq 30+0.5)

P(19.5 \leq X \leq 30.5) = P(\frac{19.5-25}{5} \leq Z \leq \frac{30.5 -25}{5})=P(-1.1 \leq Z \leq 1.1)

And we can find this probability like this:

P(-1.1 \leq Z \leq 1.1)= P(Z\leq 1.1) -P(Z\leq -1.1) = 0.864-0.136= 0.728

b) P(X \leq 30)= P(X

And using the z score we got:

P(X

c) P(X

And if we use the continuity correction we got:

P(X

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

Continuity correction means that we need to add and subtract 0.5 before standardizing the value specified.

Part a

Let X the random variable that represent the variable of interest of a population, and for this case we know the distribution for X is given by:

X \sim N(25,5)  

Where \mu=25 and \sigma=5

Part a

For this case we want to find this probability:

P(20 \leq X \leq 30) = P(20-0.5 \leq X \leq 30+0.5)

And if we use the z score given by:

z =\frac{x-\mu}{\sigma}

We got this:

P(19.5 \leq X \leq 30.5) = P(\frac{19.5-25}{5} \leq Z \leq \frac{30.5 -25}{5})=P(-1.1 \leq Z \leq 1.1)

And we can find this probability like this:

P(-1.1 \leq Z \leq 1.1)= P(Z\leq 1.1) -P(Z\leq -1.1) = 0.864-0.136= 0.728

Part b

For this case we want this probability:

P(X \leq 30)

And if we use the continuity correction we got:

P(X \leq 30)= P(X

And using the z score we got:

P(X

Part c

For this case we want this probability:

P(X

And if we use the continuity correction we got:

P(X

3 0
3 years ago
Cody wants to watch a movie that is 3 hours long he has watched 1/6 of the movie. How much time did Cody spend watching the movi
Anettt [7]

Answer:

3 hours is 60×3=180

1/6 of 180 =180÷ 6= 30

30 mins is the answer

Step-by-step explanation:

if you want to find another position other than 1/6 like 4/6 then you can just times the answer in this case 30 by the amout u need in this case 4 so 4/6 would be 120 which is 2 hours

8 0
2 years ago
Blanche invested 9800 in a savings account with a yearly interest rate of 2% for 15 years.how much simple interest did she earn?
OverLord2011 [107]
Multiply 9800 by . 2. Then multiply that answer by 15 to get the answer. hope that helps!
6 0
2 years ago
Read 2 more answers
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