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bulgar [2K]
3 years ago
6

Mr. Williams owns a stable in the countryside. He created the expression below to represent the number of horses at the stable t

years after he began boarding horses. Which statement below best describes the coefficient, 30? A. the rate at which the number of horses was changing before Mr. Williams began bording horses B. the rate at which the number of horses boarded changes C. the increase in the number of horses borded each year D. the initial number of horses boarded
Mathematics
1 answer:
777dan777 [17]3 years ago
8 0
A) the rate at which the number of horses was changing before mr williams began bording horses
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What is the slope of the line through the points (–3, 5) and (4, 5)? undefined 0 2 –2
Kazeer [188]

Finding the slope using two points:

The formula for slope is

\frac{y_{2}-y_{1}}{x_{2}-x_{1}}

In this case you have the points (-3, 5) and (4, 5):

y_{2} =5\\y_{1} =5\\x_{2} =4\\x_{1} =-3

^^^Plug these numbers into the formula for slope...

\frac{5-5}{4 - (-3)}

\frac{0}{7}

0

^^^This is your slope

Hope this helped!

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7 0
3 years ago
Read 2 more answers
After an extensive advertising campaign, the manager of a company expects the proportion of potential customers that recognize a
lina2011 [118]

Answer:

Step-by-step explanation:

Hello!

The study variable is:

X: number of customers that recognize a new product out of 120.

There are two possible recordable outcomes for this variable, the customer can either "recognize the new product" or " don't recognize the new product". The number of trials is fixed, assuming that each customer is independent of the others and the probability of success is the same for all customers, p= 0.6, then we can say this variable has a binomial distribution.

The sample proportion obtained is:

p'= 54/120= 0.45

Considering that the sample size is large enough (n≥30) you can apply the Central Limit Theorem and approximate the distribution of the sample proportion to normal: p' ≈ N(p;\sqrt{\frac{p(1-p)}{n} })

The other conditions for this approximation are also met: (n*p)≥5 and (n*q)≥5

The probability of getting the calculated sample proportion, or lower is:

P(X≤0.45)= P(Z≤\frac{0.45-0.6}{\sqrt{\frac{0.6*0.4}{120} } })= P(Z≤-3.35)= 0.000

This type of problem is for the sample proportion.

I hope this helps!

5 0
3 years ago
5. By using prime factorisation, determine if 324 and 588 are<br> perfect squares.
ad-work [718]

Step-by-step explanation:

first do prime factorization of 324= 2×2×3×3×3×3

= 2 square, 3 square,3 square

therefore 324 is a perfect square

Now,

prime factorization of 588=2×2×3×7×7

= 2 square,7 square ,3

therefore 588 is not a perfect square

3 0
3 years ago
In which quadrant do the points (-1,-2) and (-2,3) lie?​
vitfil [10]

Answer: 3 for the first one. and 2 for the second

5 0
3 years ago
Which solid figure has one polygon base?
maks197457 [2]
Q1: The answer is A. pyramid.
A pyramid has one polygon base. A prism has two polygon bases. A cone has one circular base. A cylinder has two circular bases.

Q6: The answer is false.
Surface area of a rectangular prism is:
A = 2(wl + hl + hw)
A1 = 2(4*5 + 6*5 + 6*4) = 2(20+30+24) = 2*74 = 148
A2 = 2(6*4 + 5*4 + 5*6) = 2(24+20+30) = 2*74 = 148

Q7. The answer is A. 6 feet
The volume of rectangular prism is:
V = w * l * h
w = ?
So, just replace the knowing facts:
288 = w * 8 * 6
288 = w * 48
w = 288/48 = 6

Q8: The answer is 216 ft³
The volume of the cube is:
V = a³
Since a = 6, then:
V = 6³ = 216
8 0
3 years ago
Read 2 more answers
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