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3 years ago

What is the answer to this please help!

Mathematics

1 answer:

Butoxors [25]3 years ago

6 0

$z+(-0.72)=-2.5\\\\\text{Step 1}:\ x+(-0.72)+(-0.72)=-2.5+(-0.72)\qquad\text{ERROR}\\\\CORRECT\ IS:\ x+(-0.72)-(-0.72)=-2.5-(-0.72)\\\\\text{Step 2}:\ x=-2.5+0.72\\\\\text{Step 3}:\ x=-1.78$

Subtract, not add, -0.72 from both sides.

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Find the nth term of this number sequence<br> 7, 10, 13, 16, ...<br><br> help please !!

LenKa [72]

Answer:

$a_{n}$ = 3n + 4

Step-by-step explanation:

there is a common difference between consecutive terms , that is

10 - 7 = 13 - 10 = 16 - 13 = 3

this indicates the sequence is arithmetic with nth term

$a_{n}$ = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

here a₁ = 7 and d = 3 , then

$a_{n}$ = 7 + 3(n - 1) = 7 + 3n - 3 = 3n + 4

8 0

2 years ago

Read 2 more answers

In a recent survey in a Statistics class, it was determined that only 70% of the students attend class on Fridays. From past dat

pishuonlain [190]

Answer:

a) 67.6% of students is expected to pass the course

b) 0.9112 = 91.12% probability that he/she attended classes on Fridays

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

$P(B|A) = \frac{P(A \cap B)}{P(A)}$

In which

P(B|A) is the probability of event B happening, given that A happened.

$P(A \cap B)$ is the probability of both A and B happening.

P(A) is the probability of A happening.

a. What percentage of students is expected to pass the course?

88% of 70%(attended class)

20% of 100 - 70 = 30%(did not attend class). So

$p = 0.88*0.7 + 0.2*0.3 = 0.676$

0.676*100% = 67.6%

67.6% of students is expected to pass the course.

b. Given that a person passes the course, what is the probability that he/she attended classes on Fridays?

Here, we use conditional probability:

Event A: Passed the course

Event B: Attended classes on Fridays.

67.6% of students is expected to pass the course.

This means that $P(A) = 0.676$

Probability that passed and attended classes on Friday.

88% of 70%

This means that:

$P(A \cap B) = 0.88*0.7 = 0.616$

Then

$P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.616}{0.676} = 0.9112$

0.9112 = 91.12% probability that he/she attended classes on Fridays

5 0

3 years ago

Enzo drew Triangle K L N. In Enzo’s triangle, Measure of angle K is represented as x degrees. The measure of Angle L is 5 times

anygoal [31]

Answer:

Angle k = 14°,L = 70° and N = 96°

Step-by-step explanation:

According to the question,Enzo drew Triangle K L N. In Enzo’s triangle, Measure of angle K is represented as x degrees. The measure of Angle L is 5 times Measure of angle K. The measure of Angle N is 16 degrees less than 8 times Measure of angle K.

From here,we know that angles in a triangle sum up to 180°

If angle k = x

Angle L = 5x

And angle N = 8x - 16

Sum of a all three is equal to 180°

(8x - 16) + x + 5x = 180

14x -16 = 180

X = 196/14

X= 14.

Therefore,angles k = 14°, L = 70° and N= 96°

Let's now assume that the question was to find the angles k,l and n which is already written above and to pick the correct statement relating to the question.

My statement here is( since we weren't given the complete question) that the triangle is a scalene triangle

8 0

4 years ago

Read 2 more answers

Given f(x) = 3x^3 + kx – 5, and x + 1 is a factor of f(x), then what is

DENIUS [597]

Answer:

Step-by-step explanation:

k=-6 ok

5 0

3 years ago

Evaluate the surface integral. s x ds, s is the part of the plane 6x + 3y + z = 6 that lies in the first octant.

Musya8 [376]

The plane has intercepts at (1, 0, 0), (0, 2, 0), and (0, 0, 6), so we can parameterize the surface $\mathcal S$ by

$\mathbf r(u,v)=((1,0,0)(1-u)+(0,2,0)u)(1-v)+(0,0,6)v$
$\mathbf r(u,v)=((1-u)(1-v),2u(1-v),6v)$

where $0\le u\le1$ and $0\le v\le1$ . Now

$\|\mathbf r_u\times\mathbf r_v\|=2\sqrt{46}(1-v)$

so the surface integral reduces to

$\displaystyle\iint_{\mathcal S}x\,\mathrm dS=2\sqrt{46}\int_{v=0}^{v=1}\int_{u=0}^{u=1}(1-u)(1-v)^2\,\mathrm du\,\mathrm dv=\frac{\sqrt{46}}3$

4 0

4 years ago