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2 years ago

(Anna went to buy herself a new bag. The cost was $60. The bag had a 15% sale that day. How much money did she save?)

Mathematics

1 answer:

Kobotan [32]2 years ago

3 0

Answer:

Step-by-step explanation:

Since Anna is saving 15%, she is paying 85%. So you find 85% of $60 by multiplying 60*0.85=51.

Anna pays $51 for the bag. But to find out how much she saved, you do 60-51=9.

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S is the centroid of triangle NQL. What is the length of NR?

svetoff [14.1K]

ANSWER

The length of NR is
$36 \: \: units$

EXPLANATION

The centroids divides the medians in the ratio
$2:1$
For instance

$|NS|:|SR|=2:1$

But

$|NS| = 9n - 12$

$|SR|=3n$

We substitute all these values in to the above relation to obtain,

$(9n - 12):3n=2:1$

This can be rewritten as

$\frac{9n - 12}{3n} = \frac{2}{1}$

We cross multiply to obtain,

$1(9n - 12) = 2 \times 3n$

This implies that,

$9n - 12 = 6n$

We group like terms to obtain,

$9n - 6n = 12$

This simplifies to give us,

$3n = 12$

$n = 4$

We can now determine each length as follows,

$|NS| = 9(4 ) - 12$

$|NS| = 36- 12$

$|NS| = 24$

$|SR|=3 \times 4$

$|SR|=12$

From the diagram,

$|NR|=|NS|+|SR|$

$|NR|=24 + 12$

$|NR|=36 \: units$

5 0

3 years ago

Read 2 more answers

What isn’t the minimum value of c=7x+8y given the constraints on x and y listed below

Luda [366]

Answer:

32 is not minimum value of C

Step-by-step explanation:

Given constraints:

$2x+y\geq8$

$x+y\geq8$

$x\geq8$

$y\geq8$

Now we draw the graph of each constraint and see the feasible region in graph. Please have a look attached graph.

We got three corner points A(0,8) B(2,4) and C(6,0)

Now we find the optimal solution for each value of corner points.

C(0,8)=7(0)+8(8)=64

C(2,4)=7(2)+8(4)=14+32=46

C(6,0)=7(6)+8(0)=42

Option A is correct. 32 is not minimum value of C

7 0

4 years ago

Read 2 more answers

Find the circumference and the area of a circle with diameter 2 yd . Use the value for 3.14 for , and do not round your answers.

Bess [88]

Answer:

The circumference and the area of the circle are 6.28 yards and 3.14 yd² respectively.

Step-by-step explanation:

Circumference: This is defined as the distance around a circle.

The circumference of a circle is

P = πd............................. Equation 1

Where p = circumference of the circle, d = diameter of the circle

Area: This is the region bounded by a plane surface.

The area of a circle is

A = πd²/4 .................................. Equation 2

Where A = area of the circle, π = pie = constant.

Given: d = 2 yd.

Constant: π = 3.14

Substituting these values into equation 1 and 2 respectively.

P = 3.14(2)

P = 6.28 yard.

P = 6.28 yd

and

A = 3.14(2)²/4

A = 3.14×4/4

A = 3.14 yd²

Thus the circumference and the area of the circle are 6.28 yards and 3.14 yd² respectively.

3 0

3 years ago

The number of messages that arrive at a Web site is a Poisson distributed random variable with a mean of 5 messages per hour. Ro

BaLLatris [955]

Answer:

BSHGHXSJ

Step-by-step explanation:

6 0

3 years ago

An article on polygraph testing of FBI agents indicated that the probability of a false-positive (a trustworthy person who nonet

Alexandra [31]

Answer:

The variable x will follow a geometric distribution, with mean = 3 and standard deviation = 3.46.

The values for P(x) are:

$P(0)=0.25\\\\P(1)=0.1875\\\\P(2)=0.1406\\\\P(3)=0.1055\\\\P(4)=0.0791\\\\P(5)=0.0593\\\\P(6)=0.0445\\\\P(7)=0.0334\\\\P(8)=0.025\\\\P(9)=0.0188\\\\P(10)=0.0141\\\\$

Step-by-step explanation:

This kind of random variables can be descripted by the geometrical distribution.

This distribution shows the probability of having an amount of "failures" before the first "success" (or the other way).

Let x be the number of trustworthy FBI agents tested until someone fails the test. The probability of failing a test is p=0.25

Then, the probability of x is:

$P(x)=q^x\cdot p$

The values for the first x are:

$P(0)=0.75^0\cdot 0.25=0.25\\\\P(1)=0.75^1\cdot 0.25=0.1875\\\\P(2)=0.75^2\cdot 0.25=0.1406\\\\P(3)=0.75^3\cdot 0.25=0.1055\\\\P(4)=0.75^4\cdot 0.25=0.0791\\\\P(5)=0.75^5\cdot 0.25=0.0593\\\\P(6)=0.75^6\cdot 0.25=0.0445\\\\P(7)=0.75^7\cdot 0.25=0.0334\\\\P(8)=0.75^8\cdot 0.25=0.025\\\\P(9)=0.75^9\cdot 0.25=0.0188\\\\P(10)=0.75^{10}\cdot 0.25=0.0141\\\\$

This probability will be descending as the the variable x increases.

The mean is:

$\mu=\frac{1-p}{p}= \frac{1-0.25}{0.25}=\frac{0.75}{0.25}=3$

The standard deviation is:

$\sigma=\sqrt{\frac{1-p}{p^2}} =\sqrt{ \frac{0.75}{0.25^2} }=\sqrt{12}= 3.46$

5 0

3 years ago