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guapka [62]
3 years ago
14

Three times a number (n) is 36 less than five times the number (n). What is the number?

Mathematics
2 answers:
borishaifa [10]3 years ago
6 0

18

i am doing it on edg 2020 now

rodikova [14]3 years ago
5 0

Answer:

18

Step-by-step explanation:    

To find the number, write an algebraic equation with the given information. Let the variable n represent the unknown number.

Now, break it by parts - "three times a number" would be 3n. The "is" means that it equals something, giving us 3n =. "36 less than 5 times the number" would be subtracting 36 from whatever 5 times the number is: 5n -36. So, put it all together and it is 3n = 5n-36.

Next, solve the equation for n. The answer will be the number.

3n = 5n-36\\0 = 2n - 36\\36 = 2n \\n = 18

Thus, the number is 18.

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The town of Hayward (CA) has about 50,000 registered voters. A political research firm takes a simple random sample of 500 of th
timama [110]

Answer: (0.076, 0.140)

Step-by-step explanation:

Confidence interval for population proportion (p) is given by :-

\hat{p}\pm z_{\alpha/2}\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}

, where \hat{p} = sample proportion.

n= sample size.

\alpha = significance level .

z_{\alpha/2} = critical z-value (Two tailed)

As per given , we have

sample size : n= 500

The number of Independents.:  x= 54

Sample proportion of Independents\hat{p}=\dfrac{x}{n}=\dfrac{54}{500}=0.108

Significance level 98% confidence level : \alpha=1-0.98=0.02

By using z-table , Critical value : z_{\alpha/2}=z_{0.01}=2.33

The 98% confidence interval for the true percentage of Independents among Haywards 50,000 registered voters will be :-

0.108\pm (2.33)\sqrt{\dfrac{0.108(1-0.108)}{500}}\\\\=0.108\pm2.33\times0.013880634\\\\=0.108\pm0.03234187722\\\\\approx0.108\pm0.032=(0.108-0.032,\ 0.108+0.032)=(0.076,\ 0.140)

Hence, the 98% confidence interval for the true percentage of Independents among Haywards 50,000 registered voters.= (0.076, 0.140)

8 0
3 years ago
Divide £30 between 2 people in the ratio 1:2
yuradex [85]
1+2=3.
30/3=10
10x1=10
10x2=20
So the answer would be £10:£20
And to check if it’s right £10 + £20= £30
3 0
4 years ago
Read 2 more answers
(08.01 LC)
skad [1K]

Answer:

all students on the track-and-field team

Step-by-step explanation:

if the coach wants to find out if they prefer track or field he/she has to ask the people who are experiencing it right now and tell him or her if they prefer this or not

5 0
3 years ago
Find the first 5 terms of the arithmetic sequence : a(1)=-3 , a(17)=-20
madreJ [45]
The explicit formula for arithmetic sequence is:
an=a+(n-1)d
where:
a=first term
d=common difference 
given:
a3=22
a(17)=-20
substituting this in our equation we get:
22=a+(3-1)d
22=a+2d
a=22-2d........i

also:
-20=a+(17-1)d
-20=a+16d.....ii
but substituting i in ii we get:
-20=22-2d+16d
-20-22=14d
-42=14d
d=-3
but:
a=22-2d
a=22-2(-3)
a=28
thus the formula will be:
an=28-3(n-1)
thus the first term will be 28
the 2nd term will be:
a2=28-3(2-1)
a2=25

the 3rd term will be:
a3=28-3(3-1)
a3=28-6
a3=22

a4=28-3(4-1)
a4=28-9
a4=15

a5=28-3(5-1)
a5=28-3(4)
a5=28-12
a5=15

5 0
3 years ago
Given ƒ(x) = 3x + 9, find x when ƒ(x) = 21.
Dima020 [189]
3x + 9 = 21
3x = 12
x = 4
7 0
3 years ago
Read 2 more answers
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