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nekit [7.7K]
3 years ago
10

What is the common difference in the following arithmetic sequence?7,3,-1,-5​

Mathematics
1 answer:
My name is Ann [436]3 years ago
3 0

Answer:

-4

Step-by-step explanation:

Each term is 4 less than the term before it, so the common difference is -4.

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In a test for extrasensory perception, the experimenter looks at cards containing either a star, circle, wave, or square. (The s
Gwar [14]

Answer:

0.0139

Step-by-step explanation:

Given that in a test for extrasensory perception, the experimenter looks at cards containing either a star, circle, wave, or square. (The subject cannot see the cards.)

Probability for guessing a correct shape out of 4 shapes = 0.25

Each trial is independent of the other

Hence X no of correct guesses is binomial with n = number of cards = 20 and p = constant probability =0.25

the probability a subject correctly guesses at least 10 of the 20 shapes

=P(X\geq 10)\\= 1-F(9), where F represents the cumulative probability upto 9

= 0.0139

3 0
3 years ago
Which two shapes make up the first split of quadrilaterals on the quadrilateral hierarchy?
s2008m [1.1K]

Trapezoid and kite make up the first split of quadrilaterals on the quadrilateral hierarchy

<h3>What is a quadrilateral?</h3>

A quadrilateral is a polygon that has four sides and four angles. Types of quadrilateral are<em> square, kite, trapezoid, rectangle, rhombus </em>and so on.

A quadrilateral hierarchy is a graphical way of representing the different types of quadrilaterals.

Trapezoid and kite make up the first split of quadrilaterals on the quadrilateral hierarchy

Find out more on quadrilateral at: brainly.com/question/23935806

#SPJ1

7 0
2 years ago
Poppy, felix and Alexi sell 700 raffle tickets between them. Poppy sells twice as many tickets as Felix, and Alexi sells 25 more
slavikrds [6]
Let give Poppy = P, Felix = F, Alexi = A
so P+ F + A = 700 ----(1)
P = 2F ----(2)
A = 25 + P ---(3)
we will think in term of P

from (2) F = P/2

from (1) P + F + A = 700
P + P/2 + 25 + P = 700 ---(4)
(4) multiplied by 2
2P + P + 50 + 2P = 1400
5P + 50 = 1400
5P = 1350
so P = 270

so Poppy sold 270 tickets
Felix sold 135 tickets
and Alexi sold 295 tickets //
3 0
3 years ago
Michael obtains a 30/8 balloon mortgage to finance $425,500 at 6.55%. How much principal and interest will he have already paid
STALIN [3.7K]

Answer:

$259 532  

Step-by-step explanation:

Step 1. Calculate the monthly payments on a 30-year loan.

The formula for the monthly payment (P) on a loan of A dollars that is paid back in equal monthly payments over n months, at an annual interest rate

of r % is

P = A(\frac{r}{1-(1+r)^{-n}})

<em>Data: </em>

We must express the interest rate on a monthly basis.

i = 6.55 %/yr = 0.545 83 %/mo = 0.005 4583

A = $425 500

n = 360 mo

<em>Calculation: </em>

P = 425 500(\frac{0.005 4853}{1-(1+0.005 4583)^{-360}})

P = \frac{2332.22}{{1- {1.005 4583}}^{-360}}

P = \frac{2332.52}{1 – 0.140907}

P = \frac{2332.52}{0.859 093}

P = $2703.46

B. Total Payment (T) after 8 years

T = nP

T = 96 × 2703.46

T = $259 532

Michael will have paid $259 532 at the end of eight years.

4 0
3 years ago
H = {(2, 5), (3, 5), (4, 5), (5, 5), (6, 5)} Is H a function and why?.
mixer [17]

Answer:

Yes, each x-value has a unique y-value.

Step-by-step explanation:

This is a function because each x-value has its own y-value. If this is not the case then it is not a function, because then, two points with the same x-value and different y-values would fail the VLT.

Your graph does not have overlaps and each x-value has a unique y-value

VLT

The vertical line test (VLT) is a <u>simple method that mathematicians made because</u><u> they were lazy</u><u> to make a table of values and find duplicates. </u>

<u />

  • Passing the VLT means that if you drew a vertical line anywhere on the graph, it would only go through one point.
  • Failing the VLT would mean that the vertical line

A quick way to check if it is a function is by looking for duplicates of x-values and check that the duplicates have the same y-value.

-Chetan K

Images/Examples

6 0
2 years ago
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