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Montano1993 [528]
3 years ago
11

Please answer these 1-4 Please answer all of them. THANSK

Mathematics
1 answer:
dalvyx [7]3 years ago
8 0
The percentage change is computed by
  percentage change = ((new value)/(original value) - 1) × 100%

Problems 1–3 all use this formula.

1. (3.25/.99 - 1)×100% ≈ 228.3%
2. (2.75/3.25 - 1)×100% ≈ -15.4%
3. (2.75/.99) - 1)×100% ≈ 177.8%

4. The formula for simple interest is
  I = Prt
where P is the principal amount, r is the rate, t is the number of periods, and I is the interest earned. Substitute the given values and solve for t.
  400 = 5000·0.04·t
  400/200 = t = 2
The money was in the bank for 2 years.
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Suppose that in a random selection of 100 colored​ candies, 26​% of them are blue. The candy company claims that the percentage
quester [9]

Answer:  a) -0.2252, b) 0.8219

Step-by-step explanation:

Since we have given that

Sample size n = 100

Probability that candies are blue = p= 0.26

Probability that company claims that it is blue candy = P = 0.27

So, Q = 1-P= 1-0.27 = 0.73

So, Null hypothesis : H_0:p=P

Alternate hypothesis : H_1:p\neq P

So, the test statistic would be

z=\dfrac{p-P}{\sqrt{\dfrac{P.Q}{n}}}\\\\z=\dfrac{0.26-0.27}{\sqrt{\dfrac{0.27\times 0.73}{100}}}\\\\z=-0.2252

Since α = 0.05

So, critical value of z = 1.96

p-value = P(Z>Z(calculated)

Using the excel function , we get that

P(z>0.2252)\\\\=2\times 0.410.911845\\\\=0.8219

Hence, a) -0.2252, b) 0.8219

6 0
3 years ago
Find the value of (6+4/2)/(4/6-1)
steposvetlana [31]
(10/2)/(-2/6)

5/(-2/6)

-24
3 0
3 years ago
Compare. Write <br> 1/8 6/10
PolarNik [594]
The  difference between 1/8 and 6/10 = 0.475 , does this help? 
4 0
3 years ago
2x²-5x-12=0 (simplify solution set)
Arada [10]

Answer:

x = 4 or x = -3/2

Step-by-step explanation:

To simplify and solve this, let's use the quadratic formula.

So the format of a quadratic equation is supposed look like this:

ax^2+bx+c=0

Let's find a, b, c:

  • a is the coefficient of x^2
  • b is the coefficient of x
  • c is the constant term

Now let's solve the equation.

Let's solve your equation step-by-step.

2x^2−5x−12=0

For this equation: a=2, b=-5, c=-12

2x^2+−5x+−12=0

Step 1: Use quadratic formula with a=2, b=-5, c=-12.

x=\frac{-b\pm\sqrt{b^2-4ac} }{2a}

x=\frac{-(-5)\pm\sqrt{(-5)^2-4(2)(-12)} }{2(2)}

x=\frac{5\pm\sqrt{121} }{4}

x=4 or x=\frac{-3}{2}

<u />

<u>Answer:</u>

x = 4 or x = -3/2

7 0
2 years ago
Round off the number 5028.563 to the nearest thousand
konstantin123 [22]

Answer:

5000

Step-by-step explanation:

Because this is to the nearest THOUSAND, you know you are looking for numbers like 1000, 2000, etc. And you see that with 5028.563, it is below 5500, so you do not round up to 6000, so yoyu must round down to 5000.

8 0
3 years ago
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