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natita [175]
3 years ago
12

8. Solve for x: x/7 =11

Mathematics
2 answers:
Archy [21]3 years ago
3 0

Answer:

77

Step-by-step explanation:

77/7=11

Y_Kistochka [10]3 years ago
3 0
77 is the answer for your question
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If alpha beta are the roots of the equation
Vikki [24]

Answer:

Step-by-step explanation:

Hello, I believe that we can consider a different from 0.

By definition of the roots we can write.

ax^2+bx+c=a(x-\alpha)(x-\beta)=a(x^2-(\alpha + \beta)x+\alpha \cdot \beta)\\\\\text{So we can say that:}\\\\\alpha + \beta = \dfrac{-b}{a}\\\\\alpha \cdot \beta=\dfrac{c}{a}\\\\\text{So the expected quadratic equation is}\\\\(x+\dfrac{b}{a})(x-\dfrac{c}{a})=0\\\\ \Large \boxed{\sf \bf \ (ax+b)(ax-c)=0 \ }

Thank you

8 0
3 years ago
Almost all medical schools in the United States require students to take the Medical College Admission Test (MCAT). To estimate
yKpoI14uk [10]

Answer:

a) 0.5588

b) 0.9984

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 24

Standard Deviation, σ = 6.4

We are given that the distribution of score is a bell shaped distribution that is a normal distribution.

Formula:

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

a) P(score between 20 and 30)

P(20 \leq x \leq 30) = P(\displaystyle\frac{20 - 24}{6.4} \leq z \leq \displaystyle\frac{30-24}{6.4}) = P(-0.62 \leq z \leq 0.94)\\\\= P(z \leq 0.94) - P(z < -0.62)\\= 0.8264 - 0.2676 = 0.5588 = 55.88\%

P(20 \leq x \leq 30) = 55.88\%

b) Sampling distribution

Sample size, n = 22

The sample will follow a normal distribution with mean 24 and standard deviation,

s = \dfrac{\sigma}{\sqrt{n}} = \dfrac{6.4}{\sqrt{22}} =1.36

c) P(mean score of sample is between 20 and 30)

P(20 \leq x \leq 30) = P(\displaystyle\frac{20 - 24}{1.36} \leq z \leq \displaystyle\frac{30-24}{1.36}) = P(-2.94 \leq z \leq 4.41)\\\\= P(z \leq 4.41) - P(z < -2.94)\\= 1 - 0.0016 = 0.9984 = 99.84\%

P(20 \leq x \leq 30) =99.84\%

5 0
3 years ago
If cot xº = 3/4 what is the value of b?
balandron [24]

Answer:

\cot(x)  =  \frac{3}{4}  =  \frac{10.5}{2b}

4 \times 10.5 = 2 b \times 3

42 = 6b

b = 7

3 0
3 years ago
13.
NARA [144]

Step-by-step explanation:

i want to say US metric system for a and divide by 4 and replace feet with inches to create the model

7 0
2 years ago
A scooter (small motorcycle) is bought at a price of $9,000. It loses 14% of its value very year. Express this scenario as a seq
IrinaK [193]

The scenario as a sequence recursively and explicitly is

a_{1} = 9,000 ;  a_{n} = 0.86 • a_{n-1}

a_{n}=9,000(0.86)^{n-1}

Step-by-step explanation:

The recursive formula for the nth term of a geometric sequence is

a_{1} = first term ;  a_{n} = r • a_{n-1} , where

  • a_{1} is the first term in the sequence
  • r is the common ratio  between the consecutive terms

The explicit formula for the nth term of a geometric sequence is

a_{n}=a(r)^{n-1} , where

  • a is the first term
  • r is the common ratio between the consecutive terms

∵ A scooter (small motorcycle) is bought at a price of $9,000

∵ It loses 14% of its value very year

- That means the new price of it will be 100% - 14% of the

  previous year

∵ 100% - 14% = 86%

∵ 86% = 86 ÷ 100 = 0.86

∴ Each year the price will be 0.86 of the price of the previous year

∴ The common ratio r = 0.86

∵ The initial price of the scooter is $9,000

∴ a_{1} = 9,000

∵ r = 0.86

- Substitute them in the the recursive formula

∴ a_{1} = 9,000 ;  a_{n} = 0.86 • a_{n-1}

∵ a = 9,000

∵ r = 0.86

- Substitute them in the the explicit formula

∴ a_{n}=9,000(0.86)^{n-1}

The scenario as a sequence recursively and explicitly is

a_{1} = 9,000 ;  a_{n} = 0.86 • a_{n-1}

a_{n}=9,000(0.86)^{n-1}

Learn more:

You can learn more about the sequences in brainly.com/question/1522572

#LearnwithBrainly

5 0
3 years ago
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