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3 years ago

Please help quick! i’ll mark brainlist

Mathematics

1 answer:

iVinArrow [24]3 years ago

8 0

Im copying and pasting this for more recognition

This is by debmc7. Not mine

Area = length x width

It tells us the length is 4 meters more than its width, so length = w + 4. We can substitute that equivalent information and the area we were given into the equation:

60 = (w+4) x w

60 = w^2 + 4w

w^2 + 4w - 60 = 0

Then solve using the quadratic formula, which I can't remember...but I'm hoping you can.

The dimensions are 6 meters by 10 meters.

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PLEASE HELP!!! WILL MARK BRAINLIEST!!!!!

just olya [345]

The piecewise defined function is

f(t) = 800 * 1.5^t for 0 - 2

f(t) = 2700 * 1.05^t-3 for 3 to 9

<h3>How to determine the piecewise functions?</h3>

On the domain of t = 0 to 2, we have:

f(0) = 800

f(1) = 1200

f(2) = 1800

The above function is a piecewise function with the following definition

f(0) = 800 --- initial value

r = 1200/800 = 1.5 --- rate

The function is then represented as:

f(t) = f(0) * r^t

This gives

f(t) = 800 * 1.5^t

On the domain of t = 3 to 9, we have:

f(3) = 2700

f(4) = 2835

The above function is a piecewise function with the following definition

f(3) = 800 --- initial value

r = 2835/2700 = 1.05 --- rate

The function is then represented as:

f(t) = f(3) * r^t-3

This gives

f(t) = 2700 * 1.05^t-3

Hence, the piecewise defined function is

f(t) = 800 * 1.5^t for 0 - 2

f(t) = 2700 * 1.05^t-3 for 3 to 9

Read more about piecewise defined function at

brainly.com/question/26145479

#SPJ1

8 0

2 years ago

3(a+b)=a+2 make a subject of the formula

Anit [1.1K]

Answer:

a = <u>2 - 3b</u>

Step-by-step explanation:

3(a + b) = a + 2 expand

3a + 3b = a + 2

3a - a = 2 - 3b

2a = 2 - 3b

a = <u>2 - 3b</u>

7 0

3 years ago

64% of students will apply for graduate school. from a sample of 100 students, 52 stating that they will apply for grad school.

lana66690 [7]

Answer:

you<u> accept </u>the alternative hypothesis

Step-by-step explanation:

The null and alternative hypothesis can be computed as follows:

$H_o: p = 0.64 \\ \\ H_1: p \le 0.64$

The sample proportion $\hat p = \dfrac{x}{n}$

$\hat p = \dfrac{52}{100}$

$\hat p = 0.52$

The test statistics can be computed as:

$Z = \dfrac{\hat p -p_o}{ \sqrt{ \dfrac{p_o \times (1-p_o)}{ n} }}}$

$Z = \dfrac{0.52 -0.64}{ \sqrt{ \dfrac{0.64 \times (1-0.64)}{ 100} }}}$

Z = -2.5

The P-value = 2( Z< -2.5)

From the tables;

The P-value = 2 (0.0062)

The P-value = 0.0124

The significance level = 0.01

Since the P-value is > significance level; we fail to reject the null hypothesis.

Conclusion: we accept the alternative hypothesis

7 0

3 years ago

Suppose the scores of students on a Statistics course are Normally distributed with a mean of 563 and a standard deviation of 37

ololo11 [35]

Answer:

47.72% of students scored between 563 and 637 on the exam .

Step-by-step explanation:

The percentage of the students scored between 563 and 637 on the exam

= The percentage of the students scored lower than 637 on the exam -

the percentage of the students scored lower than 563 on the exam.

Since 563 is the mean score of students on the Statistics course, 50% of students scored lower than 563. that is P(x<563)=0.5

P(x<637)=P(z<z*) where z* is the z-statistic of the score 637.

z score can be calculated using the formula

z*= $\frac{X-M}{s}$ where

X =637

M is the mean score (563)

s is the standard deviation of the score distribution (37)

Then z*= $\frac{637-563}{37}$ =2

P(z<2)=0.9772, which means that 97.72% of students scored lower than 637 on the exam.

As a Result, 97.72%-50%=47.72% of students scored between 563 and 637 on the exam

5 0

3 years ago

What integer is the closest to 731

guajiro [1.7K]

Answer:

731 is an integer. An Integer is a whole number!

Step-by-step explanation:

6 0

3 years ago