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Andrews [41]
2 years ago
12

Find the least number which should be subtracted from 500 to make it a perfect square​

Mathematics
1 answer:
Ad libitum [116K]2 years ago
8 0

Answer: 16

Step-by-step explanation:

A perfect square is basically some number multiplied by itself. For example, 4 is a perfect square because 2x2=4.

22 x 22 = 484 (under 500)

23 x 23 = 529 (over 500)

Therefore, the perfect square must be 484.

Subtract 484 from 500:

500 - 484 = 16

16 is the answer :)

You might be interested in
weekly wages at a certain factory are normally distributed with a mean of $400 and a standard deviation of $50. find the probabi
kenny6666 [7]

Answer:

0.34134

Step-by-step explanation:

In other to solve for this question, we would be using the z score formula

z = (x - μ) / σ

x = raw score

μ = mean

σ = Standard deviation

We are told in the question to find the probability that a worker selected at random makes between $350 and $400

let x1 = 350 and x2= 400 with the mean μ = 400 and standard deviation σ = $50.

z1 = (x1 - μ) / σ = (350-400) / 50 = -1

z2 = (x2 - μ) / σ = (400 - 400) / 50 = (0/50) = 0

From tables, P(z <= -1) = 0.15866

P(z <= 0) = 0.5

Then, the probability would give us, P(-1 ≤ z ≤ 0) =0.5 - 0.15866 =

0.34134

Hence, The probability that a worker selected at random makes between $350 and $400 = 0.34134

7 0
2 years ago
Sally runs 3 miles a day how far will she<br> Run in 3 days
ra1l [238]

Answer:

9 miles

Step-by-step explanation:

3 x 3 = 9 miles per day

6 0
2 years ago
Read 2 more answers
The product of 18 and a number is 109.8
timama [110]

Answer:

6.1!

Step-by-step explanation:

The product means you multiply, so you should divide 109.8 by 18.  That will get you 6.1 as the answer.

8 0
2 years ago
Read 2 more answers
The mean hourly wage for employees in goods-producing industries is currently $24.57 (Bureau of Labor Statistics website, April,
sweet-ann [11.9K]

Answer:

a. H_{0}: μ = $24.57

H_{a}: μ ≠ $24.57

b. 0.12

c. we fail to reject the null hypothesis since p ≈0.12 > 0.05

d. we fail to reject the null hypothesis since z ≈-1.6 > -1.96

Step-by-step explanation:

a)

H_{0}: μ = $24.57

H_{a}: μ ≠ $24.57

b)

To compute p value, we need to calculate z-score of $23.89 per hour. in the distribution assumed under null hypothesis

z-score can be calculated as follows:

\frac{X-M}{\frac{s}{\sqrt{N} } } where

  • X= $23.89
  • M is the mean value under null hypothesis ( $24.57)
  • s is the sample standard deviation ($2.40)
  • N is the sample size (30)

Putting the numbers in the formula we get

\frac{23.89-24.57}{\frac{2.40}{\sqrt{30} } } ≈ −1,5518

The corresponding p-value is <em>two tailed </em>and  ≈ 0.12

c)

since p ≈0.12 > 0.05 <em>we fail to reject the null hypothesis.</em>

d)

Critical value for the 0.05 significance level in two tailed test is :

c(z)=-1.96 Since z≈ −1,6 >-1.96, it is not in the critcal region, therefore <em>we fail to reject the null hypothesis. </em>

7 0
2 years ago
Bill is considering taking out a loan. He estimates that he can afford monthly payments of $375 for 10 years in order to support
Anuta_ua [19.1K]
For the same payment and term, the lower the interest rate, the more the loan can be. The opposite is also true. The appropriate selection is ...
  B. If the interest rate were 6.8%, the amount of the loan Bill is considering taking out would be less than $33,025.69.


_____
At 6.8%, Bill can afford a loan of $32,585.93.
4 0
2 years ago
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