1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
SSSSS [86.1K]
3 years ago
9

Multiply the equation (t-7)^3

Mathematics
1 answer:
Aleksandr-060686 [28]3 years ago
3 0
(t - 7)³
(t - 7)(t - 7)(t - 7)
(t² - 7t - 7t + 49)(t - 7)
(t² - 14t + 49)(t - 7)
(t³ - 7t² - 14t² + 98t + 49t - 343)
t³ - 21t² + 147t - 343
You might be interested in
In a population of similar households, suppose the weekly supermarket expense for a typical household is normally distributed wi
Rina8888 [55]

Answer:

P(Y ≥ 15) = 0.763

Step-by-step explanation:

Given that:

Mean =135

standard deviation = 12

sample size n  = 50

sample mean \overline x = 140

Suppose X is the random variable that follows a normal distribution which represents the weekly supermarket expenses

Then,

X \sim N ( \mu \sigma)

The probability that X is greater than 140 is :

P(X>140) = 1 - P(X ≤ 140)

P(X>140) = 1 - P( \dfrac{X-\mu}{\sigma} \leq \dfrac{140-135}{12})

P(X>140) = 1 - P( \dfrac{X-\mu}{\sigma} \leq \dfrac{5}{12})

P(X>140) = 1 - P( Z\leq0.42)

From z tables,

P(X>140) = 1 - 0.6628

P(X>140) = 0.3372

Similarly, let consider Y to be the variable that follows a binomial distribution of the no of household whose expense is greater than $140

Then;

Y \sim Binomial (np)

Y \sim Binomial (50,0.3372)

∴

P(Y ≥ 15) = 1- P(Y< 15)

P(Y ≥ 15) = 1 - ( P(Y=0) + P(Y=1) + P(Y=2) + ... + P(Y=14) )

P(Y \geq 15) = 1 - \begin {pmatrix} ^{50}_0 \end {pmatrix} (0.3372)^0 (1-0,3372)^{50} + \begin {pmatrix} ^{50}_1 \end {pmatrix} (0.3372)^1 (1-0,3372)^{49}  + \begin {pmatrix} ^{50}_2 \end {pmatrix} (0.3372)^2 (1-0,3372)^{48} +...  + \begin {pmatrix} ^{50}_{50{ \end {pmatrix} (0.3372)^{50} (1-0,3372)^{0}

P(Y ≥ 15) = 0.763

7 0
3 years ago
Find the simple interest on Rs. 4500 for 6 months at
Serga [27]
$1350
4500*6*1/2= 1350
3 0
3 years ago
The rate at which rain accumulates in a bucket is modeled by the function r given by r(t)=10t−t^2, where r(t) is measured in mil
mars1129 [50]

Answer:

36 milliliters of rain.

Step-by-step explanation:

The rate at which rain accumluated in a bucket is given by the function:

r(t)=10t-t^2

Where r(t) is measured in milliliters per minute.

We want to find the total accumulation of rain from <em>t</em> = 0 to <em>t</em> = 3.

We can use the Net Change Theorem. So, we will integrate function <em>r</em> from <em>t</em> = 0 to <em>t</em> = 3:

\displaystyle \int_0^3r(t)\, dt

Substitute:

=\displaystyle \int_0^3 10t-t^2\, dt

Integrate:

\displaystyle =5t^2-\frac{1}{3}t^3\Big|_0^3

Evaluate:

\displaystyle =(5(3)^2-\frac{1}{3}(3)^3)-(5(0)^2-\frac{1}{3}(0)^3)=36\text{ milliliters}

36 milliliters of rain accumulated in the bucket from time <em>t</em> = 0 to <em>t</em> = 3.

4 0
3 years ago
A large city in the ancient world was square-shaped. measured in miles, its area numerically exceeded its perimeter by about 132
melisa1 [442]
Area = perimeter + 132.  

Let  each side of the city be x miles long, then:-

x^2 = 4x  + 132
x^2 - 4x - 132 = 0

x  =  [-(-4) +/- sqrt((-4)^2 - 4 * 1 *-132)] / 2

x = 13.66, -9.66   We ignore the negative

So the city  has dimension of 13.66 * 13.66

13.7 * 13.7   to nearest 10th
7 0
3 years ago
What is the quotient of 75.42 and 0.1
Rufina [12.5K]

Answer:

754.2

Step-by-step explanation:

First of all, we cannot solve the question the way it is. We need to make 0.1 into a whole number. If we move the decimal to the right, once, then it will become the number one.

Of course, what we do to one, we have to do to the other. We move the decimal to 75.42 to the right one. Now it is 754.2

That looks like the answer. The reason is because we are now dividing by one. Something divided by one, will always be itself.

Now we have the answer of 754.2.

4 0
3 years ago
Read 2 more answers
Other questions:
  • Asha and Lucy are selling pencils in a school shop.
    9·1 answer
  • And evaluate x(- y + z) for x=-1 y=-2 and z=5
    15·2 answers
  • Your checking account has grown from 2,675.25 to 3,750.25. what is your growth rate in percentage
    7·1 answer
  • Find the product.<br>3(m+ n)<br>3m+n<br>3m + 3n<br>3mn​
    5·1 answer
  • Consider the triangle.
    12·1 answer
  • Solve one-step linear inequalities: addition and subtraction<br> Solve for w.<br> w+1≥10
    10·1 answer
  • The school bus Evie rides is scheduled to arrive at her stop at 8:20 a.m. each day. The table below shows the actual arrival tim
    7·2 answers
  • Which number produces an irrational number when added to 0.4?
    12·1 answer
  • Determine if the two triangles are similar. If they are similar, then which Triangle Similarity Theorem proves they are similar?
    6·1 answer
  • The replacement set for an equation is {10, 24, 25, 36}. The equation is represented by the sentence, "56 of a number is 30." Wh
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!