£99 is shared in the ratio 6 : 5 What is the larger share?

Suppose a2 + 4a + 3 represents the area of a rectangle. What is the perimeter of that rectangle? A) 2a + 4 B) 4a + 8 C) 6a + 12

allsm [11]

A² + 4a + 3
(a+3)(a+1) This is the length and the width of the rectangle.

Perimeter = length + length + width + width
P = (a+3) + (a+3) + (a+1) + (a+1)
P = a + a + a + a + 3 + 3 + 1 + 1
P = 4a + 6 + 2
P = 4a + 8

B) 4a + 8

5 0

4 years ago

Please help I really need to give this in tomorrow I will give you a thanks please

zepelin [54]

A) 0+(5×2)-12+3=1
b) 0-(3×2)-1+6+7=6
c) Rosy duh ;)

4 0

3 years ago

Willow Brook National Bank operates a drive-up teller window that allows customers to complete bank transactions without getting

slega [8]

Answer:

(a) λ = 2.

(b) P (X = 0) = 0.1353; P (X = 1) = 0.2706;

P (X = 2) = 0.2706; P (X = 3) = 0.1804

(c) P (Delay Problems) = 0.1431.

Step-by-step explanation:

Let X = number of arrivals at the drive-up teller window.

The average number of arrivals at the drive-up teller window per minute is,

p = 0.4 customers/ minute.

(1)

Compute the expected number of customers at the drive-up teller window in n = 5 minutes as follows:

$E(X)=\lambda\\=np\\=5\times 0.4\\=2$

Thus, the mean number of customers that will arrive in a five-minute period is λ = 2.

(2)

The random variable X follows a Poisson distribution with parameter λ = 2.

The probability mass function of X is:

$P(X=x)=\frac{e^{-2}2^{x}}{x!};\ x=0,1,2,3...$

Compute the probability of exactly 0 arrivals in 5 minutes as follows:

$P(X=0)=\frac{e^{-2}2^{0}}{0!}=\frac{0.1353\times 1}{1}=0.1353$

Compute the probability of exactly 1 arrivals in 5 minutes as follows:

$P(X=1)=\frac{e^{-2}2^{1}}{1!}=\frac{0.1353\times 2}{1}=0.2706$

Compute the probability of exactly 2 arrivals in 5 minutes as follows:

$P(X=2)=\frac{e^{-2}2^{2}}{2!}=\frac{0.1353\times 4}{2}=0.2706$

Compute the probability of exactly 3 arrivals in 5 minutes as follows:

$P(X=3)=\frac{e^{-2}2^{3}}{3!}=\frac{0.1353\times 8}{6}=0.1804$

Thus, the values are:

P (X = 0) = 0.1353

P (X = 1) = 0.2706

P (X = 2) = 0.2706

P (X = 3) = 0.1804

(3)

Delays occur in the service time if there are more than three customers arrive during any five-minute period.

Compute the probability that there are more than 3 customers as follows:

P (X > 3) = 1 - P (X ≤ 3)

$=1-\sum\limits^{3}_{x=0}{\frac{e^{-2}2^{x}}{x!}}\\=1-(0.1353+0.2706+0.2706+0.1804)\\=1-0.8569\\=0.1431$

Thus, the probability that delays will occur is 0.1431.

3 0

4 years ago

The highest possible z-score that is still in the bottom 95% of the systolic blood pressure distribution is z =−1.645 . Use this

lawyer [7]

Answer:

(1) The value of X is, 151.13.

This score X, is the 95th percentile of systolic blood pressure scores among women. The percentile rank of this score is 95.

(2) The percentage of women have systolic blood pressure in the range 140 to 159 is 9.01%.

(3) The percentage of women having systolic blood pressure below 90 is 21.19%.

Step-by-step explanation:

The random variable X is defined as the systolic blood pressure of women.

The distribution of X is, N (110, 25²).

(1)

The value of z-score that is in the bottom 95% is, 1.645.

Compute the value of X as follows:

$z=\frac{X-\mu}{\sigma}\\1.645=\frac{X-110}{25}\\X=110+(1.645\times 25)\\X=151.125\\\approx151.13$

The value of X is, 151.13.

This score X, is the 95th percentile of systolic blood pressure scores among women. The percentile rank of this score is 95.

(2)

Compute the probability of X between 140 and 159 as follows:

$P(140$

The percentage of systolic blood pressure between 140 and 159 is,

0.0901 × 100 = 9.01%

Thus, the percentage of women have systolic blood pressure in the range 140 to 159 is 9.01%.

(3)

Compute the probability of X below 90 as follows:

$P(X$

The percentage of women having systolic blood pressure below 90 is,

0.2119 × 100 = 21.19%.

Thus, the percentage of women having systolic blood pressure below 90 is 21.19%.

6 0

4 years ago

Find the greatest common factor. 2y^3, 8y

Ira Lisetskai [31]

Answer:

STEP1:Equation at the end of step 1

2y3 - 8y

STEP2:

STEP3:Pulling out like terms

3.1 Pull out like factors :

2y3 - 8y = 2y • (y2 - 4)

Trying to factor as a Difference of Squares:

3.2 Factoring: y2 - 4

Theory : A difference of two perfect squares, A2 - B2 can be factored into (A+B) • (A-B)

Proof : (A+B) • (A-B) =

A2 - AB + BA - B2 =

A2 - AB + AB - B2 =

A2 - B2

Note : AB = BA is the commutative property of multiplication.

Note : - AB + AB equals zero and is therefore eliminated from the expression.

Check : 4 is the square of 2

Check : y2 is the square of y1

Factorization is : (y + 2) • (y - 2)

Final result :

2y • (y + 2) • (y - 2)

4 0

3 years ago