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padilas [110]
3 years ago
10

Which number is 5 more than 2? Which number is 4 less than -3? PLS HELP ME ILL GIVE YOU BRAINLIST

Mathematics
2 answers:
egoroff_w [7]3 years ago
7 0

5 more than 2 is 7, and 4 less than -3 is -7

vaieri [72.5K]3 years ago
6 0

5+2=7 4- -3= -7 hdkb sus heyitsme

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Problem 2. A random variable has the following density function:
kolbaska11 [484]

If <em>f(x)</em> is a density function, then its integral over the entire real line should be 1:

\displaystyle\int_{-\infty}^\infty f(x)\,\mathrm dx=\int_0^2(1-0.5x)\,\mathrm dx=(x-0.25x^2)\bigg|_0^2=2-1=1

so yes, <em>f(x)</em> is indeed a density function.

6 0
3 years ago
M/8 = 4<br><br> Solve for m<br><br> m = ?
fomenos

Answer: m = 32

Step-by-step explanation:

32 divided by 8 = 4

7 0
3 years ago
Read 2 more answers
Write down and simplify all the terms in the expansion of (1+3x)6.Using your results to estimate the value of (0.97)6correct to
Keith_Richards [23]

Answer:

(a)\ (1 + 3x)^6 = 728x^6 + 1458x^5 + 1215x^4 + 540x^3 + 135x^2 + 18x + 1

(b)\ (1 + 3(-0.01))^6 = 0.8330

Step-by-step explanation:

Given

(1 + 3x)^6

Solving (a): Expand

To do this, we make use of pascal triangle

When the exponent is 6, the factors are: 1, 6, 15, 20, 15, 6 and 1

As a rule, the exponent of 1 will start from 0 and then increase by 1 in each term while the exponent of 3x will start from 6 and then decrease by 1 in each term.

So, we have:

(1 + 3x)^6 = 1 * 1^0 * (3x)^6 + 6 * 1^1 * (3x)^5 + 15 * 1^2 * (3x)^4 + 20 * 1^3 * (3x)^3 + 15 * 1^4 * (3x)^2 + 6 * 1^5 * (3x)^1 + 1 * 1^6 * (3x)^0

Expand

(1 + 3x)^6 = 1 * (3x)^6 + 6 *  (3x)^5 + 15  * (3x)^4 + 20 *  (3x)^3 + 15 *  (3x)^2 + 6  * (3x)^1 + 1 * (3x)^0

(1 + 3x)^6 = 1 * 728x^6 + 6 *  243x^5 + 15  * 81x^4 + 20 *  27x^3 + 15 *  9x^2 + 6  * 3x + 1

(1 + 3x)^6 = 728x^6 + 1458x^5 + 1215x^4 + 540x^3 + 135x^2 + 18x + 1

Solving (b): (0.97)^6

Rewrite as:

(0.97)^6 = (1 - 0.03)^6

Express -0.03 as 3 * -0.01

(0.97)^6 = (1 + 3(-0.01))^6

So, by comparing:

(1 + 3x)^6 and (1 + 3(-0.01))^6

x = -0.01

Recall that:

(1 + 3x)^6 = 728x^6 + 1458x^5 + 1215x^4 + 540x^3 + 135x^2 + 18x + 1

This gives:

(1 + 3(-0.01))^6 = 728(-0.01)^6 + 1458(-0.01)^5 + 1215(-0.01)^4 + 540(-0.01)^3 + 135(-0.01)^2 + 18(-0.01) + 1

Using a calculator

(1 + 3(-0.01))^6 = 0.000000000728 -0.0000001458+ 0.00001215  -0.00054  + 0.0135 -0.18 + 1

(1 + 3(-0.01))^6 = 0.83297200492

(1 + 3(-0.01))^6 = 0.8330 --- approximated

4 0
3 years ago
ANSWER ASAP!
finlep [7]

The 13th term of the geometric sequence is:

a_{17} = \frac{13}{8}

<h3>What is a geometric sequence?</h3>

A geometric sequence is a sequence in which the result of the division of consecutive terms is always the same, called common ratio q.

The nth term of a geometric sequence is given by:

a_n = a_1q^{n-1}

In which a_1 is the first term.

As a <u>function of the mth term</u>, the nth term can also be given as follows:

a_n = a_mq^{n - m}

In this problem, we have that:

a_{13} = 26, q = \frac{1}{2}

Hence the 17th term is:

a_{17} = a_{13}q^{4}

a_{17} = 26 \times \frac{1}{16}

a_{17} = \frac{13}{8}

More can be learned about geometric sequences at brainly.com/question/11847927

#SPJ1

7 0
2 years ago
The areas of two similar triangles are 80 square feet and 500 square feet.
Gelneren [198K]
So in order to get the small rectangle big we need a whole number bigger that 1 or an improper fraction so let's cross out the answer choices that don't meet the above requirements!!

A and C are not improper fractions and are less than 1 so they're wrong!!

We can solve by making an equation,

80x = 500

So 80 × what will give us 500.

We can do this two ways and I'll show you both!!

\frac{80x}{80} = \frac{500}{80}

We can divide both sides by 80 and get,

x = \frac{25}{4} = 6.25

Which is answer choice B which makes sense since answer choice D is too small.

Or, we can plug in our two answer choices and see if it checks out to be 500!!

80( \frac{25}{4} ) = 500

The above statement is true!!

80( \frac{5}{2} ) = 500

The above statement is false since 80 × 5/2 = 200, not 500, the number we need!!
7 0
3 years ago
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