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Furkat [3]
3 years ago
9

Can someone help with these 3 questions, they are in the pictures!

Mathematics
1 answer:
Eduardwww [97]3 years ago
4 0

Question One
y = v - 1/2 g t^2   Subtract v from both sides.
y - v = - 1/2 gt^2  Multiply both sides by - 1
-(y - v) =  1/2gt^2 Remove the brackets.
v - y = 1/2 gt^2 Divide by g
(v - y)/g = 1/2 t^2 Multiply by 2 on both sides
2(v - y)/g = t^2 Move the 2 to the denominator on the left.
(v - y) / 0.5g = t^2 Take the square root of both sides.
sqrt [ (v - y) / 0.5g ] = t 

Answer: B or second one down <<<<<<<

Question Two  
There are no minuses in the answer. That eliminates 2 and 3
km^2 - c = n   Add c to both sides.
km^2 = c + n  divide both sides by k
m^2 = [c + n]/k  Take the square root of m^2
m = sqrt [(c + n)/k]

Answer A or the first one.

Problem 3
This is an estimation question. One value of x is <0 the other > 0
The two graphs cross when x = a bit over 2 and x < about - 5
The answer is C 2.1 and - 5.1 about.

Answer: 2.1 and -5.1 
Answer: C <<<<<<<<<

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It is said that sufferers of a cold virus experience symptoms for 7 days. However, the amount of time is actually a normally dis
AlexFokin [52]

Answer:

a) 0.18% of cold sufferers experience fewer than 4 days of symptoms

b) 64.40% of cold sufferers experience symptoms for between 7 and 10 days.

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

\mu = 7.5, \sigma = 1.2

a. What proportion of cold sufferers experience fewer than 4 days of symptoms?

This is the pvalue of Z when X = 4. So

Z = \frac{X - \mu}{\sigma}

Z = \frac{4 - 7.5}{1.2}

Z = -2.92

Z = -2.92 has a pvalue of 0.0018.

So 0.18% of cold sufferers experience fewer than 4 days of symptoms.

b. What proportion of cold sufferers experience symptoms for between 7 and 10 days?

This is the pvalue of Z when X = 10 subtracted by the pvalue of Z when X = 7. So

X = 10

Z = \frac{X - \mu}{\sigma}

Z = \frac{10 - 7.5}{1.2}

Z = 2.08

Z = 2.08 has a pvalue of 0.9812.

X = 7

Z = \frac{X - \mu}{\sigma}

Z = \frac{7 - 7.5}{1.2}

Z = -0.42

Z = -0.42 has a pvalue of 0.3372.

So 0.9812 - 0.3372 = 0.644 = 64.40% of cold sufferers experience symptoms for between 7 and 10 days.

8 0
3 years ago
18 girls and 12 boys on a swim team. what is the percentage of boys?​
nekit [7.7K]

Answer:

40%

Step-by-step explanation:

The first step is to add 18 girls + 12 boys, which gives you the total number of people on the swim team, 30.

Next, you divide the 12 boys by the total swim team members, so:

\frac{12}{30} = 0.4

Then, you multiply 0.4 by 100 to get the percentage:

0.4 × 100 = 40

Therefore, the swim team is made up of 40% boys, and 60% girls.

6 0
3 years ago
Read 2 more answers
|-15-7|= simply the expression
hichkok12 [17]

Answer:

22

Step-by-step explanation:

|-15 - 7|

-15 - 7 = -22

|-22| = 22

3 0
3 years ago
Round this number to nearest 10,000. 4,278,003
s2008m [1.1K]

Hi there!

To Round of the number given, first you have to find the ten thousands place on the given number. Started from ones, tens, hundreds, and moving on, the number in the ten thousands place would be 7 in your case.

Now, looking to the number on the right of 7 which is 8, it is bigger than 5, and therefore, we round up 7 and let 8 go to zero.

Applying this, your answer would be 4,280,003

Hope this helped!

4 0
3 years ago
Read 2 more answers
The population of a city has increased by 15% since it was last measured if the current population is 43700 what was the previou
maks197457 [2]

Answer:

37,145

Step-by-step explanation:

43,700×15%= 6,555

43,700-6,555= 37,145

the previous population was 37,145

8 0
2 years ago
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