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4 years ago

The perimeter is 40. How much bigger is the longest side than the shortest side?

Mathematics

1 answer:

sesenic [268]4 years ago

3 0

Answer:

Step-by-step explanation:

40=2a-3+2a+3a+1

add like terms

40=7a-2

get 'a' by its self

40(+2)=7a-2(+2) [2 cancels out]
42(÷7)=7a(÷7) [7 cancels out]
a=6

plug in the answer for Equations

biggest: 3(6)+1= 18+1= 19
smallest: 2(6)-3= 12-3=9

subtract smallest from biggest

19-9=10

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A.0 b.1 c.2 d.3 help please

Vikki [24]

Answer:

The answer is 2.

4 0

3 years ago

The length of human pregnancies from conception to birth follows a distribution with mean 266 days and standard deviation 15 day

Katena32 [7]

Answer:

a) 81.5%

b) 95%

c) 75%

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 266 days

Standard Deviation, σ = 15 days

We are given that the distribution of length of human pregnancies is a bell shaped distribution that is a normal distribution.

Formula:

$z_{score} = \displaystyle\frac{x-\mu}{\sigma}$

a) P(between 236 and 281 days)

$P(236 \leq x \leq 281)\\\\= P(\displaystyle\frac{236 - 266}{15} \leq z \leq \displaystyle\frac{281-266}{15})\\\\= P(-2 \leq z \leq 1)\\\\= P(z \leq 1) - P(z < -2)\\= 0.838 - 0.023 = 0.815 = 81.5\%$

b) a) P(last between 236 and 296)

$P(236 \leq x \leq 281)\\\\= P(\displaystyle\frac{236 - 266}{15} \leq z \leq \displaystyle\frac{296-266}{15})\\\\= P(-2 \leq z \leq 2)\\\\= P(z \leq 2) - P(z < -2)\\= 0.973 - 0.023 = 0.95 = 95\%$

c) If the data is not normally distributed.

Then, according to Chebyshev's theorem, at least $1-\dfrac{1}{k^2}$ data lies within k standard deviation of mean.

For k = 2

$1-\dfrac{1}{(2)^2} = 75\%$

Atleast 75% of data lies within two standard deviation for a non normal data.

Thus, atleast 75% of pregnancies last between 236 and 296 days approximately.

7 0

3 years ago

10y-50= 10y−50= \,\,-20 −20

densk [106]

Answer:

Therefore the value of 'y' is,

$y=3$

Step-by-step explanation:

Given:

$10y-50=-20$

To Find:

y= ?

Solution:

$10y-50=-20$ ........Given

Step 1. Adding 50 to both the side we get

$10y-50+50=-20+50\\10y=30$

Step 2. Dividing by 10 on both the side we get

$\dfrac{10y}{10}=\dfrac{30}{10}\\\\y=3$

Therefore the value of 'y' is,

$y=3$

6 0

3 years ago

<img src="https://tex.z-dn.net/?f=1%2B2x%3D4x%2B9" id="TexFormula1" title="1+2x=4x+9" alt="1+2x=4x+9" align="absmiddle" class="l

kicyunya [14]

Answer:

x= -4

Step-by-step explanation:

=> 1+2x= 4x+9

=> 1-9=4x-2x

=> -8 = 2x

=> x = -8/2

=> x= -4

hope it's helpful to you ☺️

6 0

3 years ago

Read 2 more answers

A 13ft board is to be cut into three pieces, two equal length ones and the third 9in shorter than each of the other two. If cutt

vaieri [72.5K]

Answer:

The pieces are 55 inches, 55 inches and 46 inches long

Step-by-step explanation:

A 13ft board is to be cut into three pieces consisting of two equal length ones. The third one is 9in shorter than each of the other two.

Let us first convert the length of the board to inches:

1 ft = 12 inches

13 ft = 12 * 13 = 156 inches

Let the length of each of the other two pieces be x.

Therefore, the length of the third piece is (x - 9)

Therefore, the sum of the lengths of the three pieces is equal to 156 inches. This means that:

x + x + (x - 9) = 156

x + x + x - 9 = 156

=> 3x = 156 + 9

3x = 165

x = 165 / 3 = 55 inches

Each of the first two pieces are 55 inches long.

The length of the third piece will be:

55 - 9 = 46 inches

The pieces are 55 inches, 55 inches and 46 inches long.

4 0

3 years ago