The perimeter of the rectangle is 72cm. The width of he rectangle is 8cm greater than the length. Find the width and the length.

Answer:

(-3,-1) -> (3,1)

Step-by-step explanation:

Reflection over the y-axis:

When we reflect a point (x,y) over the y-axis, it's y-coordinate is kept, while the x-coordinate changes signal. So

(3,-1) -> (-3,-1)

Clockwise rotation of 180º

Both coordinates of the point change signals. So

(-3,-1) -> (3,1)

Answer:

18x+8

Step-by-step explanation:

distribute

2 x 9x = 18x

2 x 4 = 8

Hope This Helps!!

Answer:

2 terms

8 and 4c

Step-by-step explanation:

Answer:

2 terms

Step-by-step explanation:

8 & 4c

Answer:

0.5555555555555555555555

Step-by-step explanation:

Answer:

3260

Step-by-step explanation:

yeah ok

Answer:

25−5v2

oof oof oof oof oof oof oof oof

Answer:

a.) f(x) = [tex]\frac{1}{30}[/tex] where 90 < x < 120

b.) [tex]\frac{2}{3}[/tex]

c.)  [tex]\frac{2}{3}[/tex]

d.)  [tex]\frac{1}{2}[/tex]

Step-by-step explanation:

Let

X be a uniform random variable that denotes the actual charging time of battery.

Given that, the actual recharging time required is uniformly distributed between 90 and 120 minutes.

⇒X ≈ ∪ ( 90, 120 )

a.)

Probability density function , f (x) = [tex]\frac{1}{120 - 90} = \frac{1}{30}[/tex] where 90 < x < 120

b.)

P(x < 110) = [tex]\int\limits^{110}_{90} {\frac{1}{30} } \, dx[/tex]

               = [tex]\frac{1}{30}[x]\limits^{110}_{90} = \frac{1}{30} [ 110 - 90 ] = \frac{1}{30} [ 20] = \frac{2}{3}[/tex]

c.)

P(x > 100 ) = [tex]\int\limits^{120}_{100} {\frac{1}{30} } \, dx[/tex]

                 = [tex]\frac{1}{30}[x]\limits^{120}_{100} = \frac{1}{30} [ 120 - 100 ] = \frac{1}{30} [ 20] = \frac{2}{3}[/tex]

d.)

P(95 < x< 110)  = [tex]\int\limits^{110}_{95} {\frac{1}{30} } \, dx[/tex]

                       = [tex]\frac{1}{30}[x]\limits^{110}_{95} = \frac{1}{30} [ 110 - 95 ] = \frac{1}{30} [ 15] = \frac{1}{2}[/tex]

Answer:

The probability that a randomly chosen death is a white person who died of diabetes is of 0.0241 = 2.41%.

Step-by-step explanation:

Conditional Probability

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

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which

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

[tex]P(A \cap B)[/tex] is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: The person is white

Event B: Died of diabeters.

Of people who died in the United States in recent years, 86% were white

This means that [tex]P(A) = 0.86[/tex]

Diabetes caused 2.8% of deaths among whites

This means that [tex]P(B|A) = 0.028[/tex]

The probability that a randomly chosen death is a white person who died of diabetes is about:

This is [tex]P(A \cap B)[/tex]. So

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

[tex]P(A \cap B) = P(B|A)*P(A) = 0.028*0.86 = 0.0241[/tex]

The probability that a randomly chosen death is a white person who died of diabetes is of 0.0241 = 2.41%.

Answer:

3

Step-by-step explanation:

8 < 3   no

8 = 3   no

8 > 3   yes

so the answer is 3

Step-by-step explanation:

according to the question the graph must be like this. inverted parabola

Answer:

It would take them 5 minutes

Step-by-step explanation:

640/4= 160 (this is how many words they can read per minute)

800/160=5 (doing this helps us figure out how long it would take them to read 800 words)

Answer:

I think its 5 I'm not sure tho.....

Step-by-step explanation:

640 Divide By 4 = 160

so 800 Divided By 160 = 5  

Answer:

x = 14

Step-by-step explanation:

These angles are vertical each other, another way of saying they are opposite each other in an X. Since these angles are vertical, they are equal!

60 = 5x - 10 | Given, from here on is basic algebra

70 = 5x | Add 10 to both sides

14 = x | Divide both sides by 5

Answer:

No, it is not a right triangle.

Step-by-step explanation:

A right triangle will follow the Pythagorean Theorem: a² + b² = c²

c is the hypotenuse, or the longest side. In this case, it is 9.

That means a and b are 7 and 8.

Now let's plug in the values to see if they simplify correctly.

(7)² + (8)² = (9)²

Simplify the exponents.

49 + 64 = 81

Add the left side.

113 = 81

The above expression is not true; therefore, this triangle is not a right triangle.

Answer:

Select the third answer listed which states: 6/5 * 9/4

Step-by-step explanation:

To find how many of a quantity x are in another quantity y, we normally divide in the following fashion:

y divided by x = y ÷ x = y / x

Then we do the same here: 6/5 divided by 4/9  =  6/5 ÷ 4/9 = 6/5 * 9/4

(using the properties of division of fractions as equal to the product of the first one times the reciprocal of the second one)

Answer:

3rd one

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

x=3 and y=3

Step-by-step explanation:

Answer:

The z-score for an ACT score of 26 is 0.17.

Step-by-step explanation:

Z-score:

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In a particular year, the mean score on the ACT test was 25 and the standard deviation was 5.9.

This means that [tex]\mu = 25, \sigma = 5.9[/tex]

Find the z-score for an ACT score of 26.

This is Z when X = 26. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{26 - 25}{5.9}[/tex]

[tex]Z = 0.17[/tex]

The z-score for an ACT score of 26 is 0.17.

Answer:

The work done by the electric field in Figure 1 to move a positive charge q from A, the positive plate, higher potential, to B, the negative plate, lower potential, is

W = −ΔPE = −qΔV.

The potential difference between points A and B is

−ΔV = −(VB − VA) = VA − VB = VAB.

Entering this into the expression for work yields W = qVAB.

Work is W = Fd cos θ; here cos θ = 1, since the path is parallel to the field, and so W = Fd. Since F = qE, we see that W = qEd. Substituting this expression for work into the previous equation gives qEd = qVAB.

The charge cancels, and so the voltage between points A and B is seen to be

{

V

AB

=

E

d

E

=

V

AB

d

(uniform E − field only)

Step-by-step explanation:

The relationship between V and E for parallel conducting plates is E=Vd E = V d. From a physicist's point of view, either ΔV or E can be used to describe any charge distribution

Answer:

Imao

Step-by-step explanation:

Answer:

C

Step-by-step explanation

3x--x=4x

1-2=-1

1/2 x 4x=2x

1/2x-1=-1/2

Answer:

the first one means that any number bigger than 5 whereas 2x=10 means that x can either be a positive or a negative value

Step-by-step explanation:

Answer:

x=27

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

5/3x-4/3x-1=8

5 /3 x+  −4 /3 x+−1=8

(5 /3 x+  −4 /3 x)+ (−1) =8 (Combine Like Terms)

1/3x-1 =8

1/3x=9

(1/3 x) x 3 = 3 x 9

x=27

Answer: x=27

Step-by-step explanation: if you want to Solve for X, you have to by simplify both sides of the equation, then isolating the variable.

Answer: 1/4 s^2 or [tex]\frac{1}{4} s^{2}[/tex]

Lamoooo

Step-by-step explanation:

Answer:

40% x $80.00 = $32.00

$32.00 x 7% = $2.24

Step-by-step explanation:

$2.24

Answer:

$157.50

Step-by-step explanation:

First, converting R percent to r a decimal

r = R/100 = 7%/100 = 0.07 per year,

then, solving our equation

I = 750 × 0.07 × 3 = 157.5

I = $ 157.50

The simple interest accumulated

on a principal of $ 750.00

at a rate of 7% per year

for 3 years is $ 157.50.

Answer: Triangle QRS is an isosceles triangle because QR = RS.

. Step-by-step explanation: Find the length of each side of the triangle using the formula for calculating the distance between two points.

Step-by-step explanation: