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klio [65]
3 years ago
14

5d2-50d+125 = Fully factor each expression

Mathematics
1 answer:
Ede4ka [16]3 years ago
8 0
First, let's start off by simplifying as much as possible before factoring.

5d^2 - 50d + 125

We can divide all the numbers by 5 in order to simplify it:

5(d^2 - 10d + 25)

Now all we need to do is factor.
Since -5*-5 = 25 and -5 - 5 = -10, we can use this to factor:

5(d - 5)(d - 5)
Or
5(d - 5)^2
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Jesse borrowed $16,000 to purchase a new car. He borrowed the money from his local bank by taking out a loan that he would need
rodikova [14]
The answer is $630.57

You first need to add both the borrowed money and the interest then divide it all by 30

$16,000+$2,917.10= $18917.10

$18917.10/30= $630.57
8 0
3 years ago
Obtain the required confidence interval for the difference between two population proportions. Assume that independent simple ra
Thepotemich [5.8K]

Answer:

The 95% confidence interval for the difference between the proportions of women and men who follow a regular exercise program = ( -0.293, 0.023)

Step-by-step explanation:

The formula for confidence interval for the difference between the proportions is given as:

p1 - p2 ± z × √p1 (1 - p1)/n1 + p2(1 - p2)/n2

From the question

We have two groups.

Group 1 = For women

A survey found that 37 of 74 randomly selected women

p1 = x/n1

n1 = 74

x1 = 37

p1 = 37/74

p1 = 0.5

Group 2 = For Men

A survey found out that 47 of 74 randomly selected men follow a regular exercise program

p2 = x/n1

n2= 74

x2 = 47

p2 = 47/74

p2 = 0.6351351351 ≈ 0.635

z = z score for 95% Confidence Interval = 1.96

The confidence interval for the difference between the proportions is given as:

p1 - p2 ± z × √p1 (1 - p1)/n1 + p2(1 - p2)/n2

0.5 - 0.635 ± 1.96 × √0.5 (1 - 0.5)/74 + 0.635(1 - 0.635)/74

-0.135 ± 1.96 × √(0.5 × 0.5)/74 + (0.635× 0.365)/74

-0.135 ± 1.96 × 0.08068750209663572

-0.135 ± 0.158147504109406

Hence:

= -0.135 - 0.158147504109406

= -0.2931475041

Approximately = -0.293

= -0.135 + 0.158147504109406

= 0.0231475041

Approximately = 0.023

Therefore, the 95% confidence interval for the difference between the proportions of women and men who follow a regular exercise program = ( -0.293, 0.023)

6 0
2 years ago
Helllp pls help and don’t comment if u don’t know
inna [77]

Answer:

a) 7z³+2z²-2z+1

b)2x²+3x-8

Step-by-step explanation:

a) (7z³+4z-1)+(2z²-6z+2)

   7z³+2z²-2z+1

b) (5x²-2x-1)-(3x²-5x+7)

   5x²-2x-1-3x²+5x-7

   2x²+3x-8

4 0
2 years ago
Read 2 more answers
The ratio of the base edges of two similar pyramids is 3:4. The volume of the larger pyramid is 320 in3. What is the volume of t
Andre45 [30]
Use similar volume to calculate
which is the (ratio of edges)^3 = (ration of volume)
so just put the numbers in, let the volume of smaller pyramid be y.
(3/4)^3 = y/320
27/64 = y/320
y=135in3
7 0
3 years ago
Read 2 more answers
Kerrie uses the work shown below to determine 35% of 280.
lys-0071 [83]

For this case we must find 35% of 280.

Kerrie gets 10% and then 25%. So:

10% of 280:

280 ------------> 100%

x -----------------> 10%

Where "x" represents the amount given by 10% of 280.

x = \frac {10 * 280} {100}\\x = 28

Thus, 10% of 280 is 28.

Now, we find 25% of 280:

280 ------------> 100%

x -----------------> 25%

Where "x" represents the amount given by 25% of 280.

x = \frac {25 * 280} {100}\\x = 70

Thus, 25% of 280 is 70.

So we have that 35% of 280 is given by:

28 + 70 = 98

So, Kerrie's solution is correct.

Answer:

Option A

6 0
3 years ago
Read 2 more answers
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