Bacteria can divide every 20 minutes, so 1 bacterium can multiply to 2 in 20 minutes,

Fine the two consecutive whole numbers the square root is between: √(26) & √(60)

blondinia [14]

The consecutive number = 1,2 or 7,8 not 5,8 etc

whole number = 1,6,100

square root of 60 = 7.746

so, if you want to know two consecutive whole numbers b/w swrt of 60
that would be

7 less than 7.6 less than 8

3 0

3 years ago

In ABC, what is the value of x? Pls hurry im on a time limit here

kiruha [24]

Answer:

70

Step-by-step explanation:

By exterior angle theorem:

$(2x + 12) \degree = 112 \degree + 180 \degree - 2x \degree \\ \\ (2x + 12) \degree = 292 \degree - 2x \degree \\ \\ (2x + 12) \degree + 2x \degree = 292 \degree \\ \\ (2x + 12 + 2x) \degree = 292 \degree \\ \\ (4x + 12) \degree = 292 \degree \\ \\ 4x + 12 = 292 \\ \\ 4x = 292 - 12 \\ \\ 4x = 280 \\ \\ x = \frac{280}{4} \\ \\ x = 70$

6 0

3 years ago

When one power is exponentiated by an exponent, what is done with the exponents?

Mama L [17]

I’m pretty sure they are multiplied, if I understand your wording

3 0

3 years ago

The clearance between a pin and the collar around it is important for the proper performance of a disc drive for small computers

hichkok12 [17]

Answer:

(a) The distribution of (Y - X) is N (0.001, 0.0005).

(b) The probability that the pin will not fit inside the collar is 0.023.

Step-by-step explanation:

The random variable X is defined as the diameter of the pin and the random variable Y is defined as the diameter of the collar.

The distribution of X and Y is:

$X\sim N(0.525, 0.0003)\\Y\sim N(0.526, 0.0004)$

The random variables X and Y are independent of each other.

(a)

Compute the expected value of (Y - X) as follows:

$E(Y-X)=E(Y)-E(X)=0.526-0.525=0.001$

The mean of (Y - X) is 0.001.

Compute the variance of (Y - X) as follows:

$V(Y-X)=V(Y)+V(X)-2Cov(X,Y)\\=V(Y)+V(X);\ X\ and\ Y\ are\ independent\\=0.0003^{2}+0.0004^{2}\\=0.00000025$

$SD(Y-X)=\sqrt{0.00000025}=0.0005$

The standard deviation of (Y - X) is 0.0005.

Thus, the distribution of (Y - X) is N (0.001, 0.0005).

(b)

Compute the probability of [(Y - X) ≤ 0] as follows:

$P(Y-X\leq 0)=P(\frac{(Y-X)-\mu_{Y-X}}{\sigma_{Y-X}}\leq \frac{0-0.001}{0.0005})=P(Z$

*Use a z-table for the probability value.

Thus, the probability that the pin will not fit inside the collar is 0.023.

8 0

3 years ago

The number of new cars purchased in a city can be modeled by the equation where C is the number of new cars and t is the number

Umnica [9.8K]

C(t)=26t^2+168t+4208, and we wish to know when C(t)=15000

26t^2+168t+4208=15000

26t^2+168t-10792=0

They want you to use the quadratic formula...

For a quadratic of the form ax^2+bx+c=0, the quadratic formula is:

x=(-b±√(b^2-4ac))/(2a), in this case we have:

x=(-168±√1122368)/52, since x>0

x≈17.14

1958+17.14≈1975.14

So by 1976 the number of new cars will reach 15000.

7 0

4 years ago