Marvin draws an ace five out of nine times. write a fraction and a decimal to represent this situation ?

which equation illustrates how the expression 1.15^t can be rewritten to approximate the equivalent monthly interest rate if the

denis23 [38]

sorry if this answer wrong

8 0

2 years ago

Show all your work. Indicate clearly the methods you use, because you will be scored on the correctness of your methods as well

laiz [17]

Answer:

The value is $P(A) = 0.133617$

Step-by-step explanation:

From the question we are told that

The mean is $\mu = 7.5$

The standard deviation is $\sigma = 0.2$

The safest water level is between 7.2 and 7.8

Generally the probability that the selected pool has a pH level that is not considered safe is mathematically represented as

$P(A) = 1 - P(7.2 \le X \le 7.8 )$

Here

$P(7.2 < X < 7.8 ) = P(\frac{ 7.2 - \mu }{\sigma } < \frac{X - \mu }{ \sigma }$

Generally $\frac{X - \mu }{ \sigma } = Z (The \ standardized \ value \ of X )$

So

$P(7.2 < X < 7.8 ) = P(\frac{ 7.2 - 7.5 }{0.2 } < Z$

$P(7.2 < X < 7.8 ) = P(-1.5 < Z$

=> $P(7.2 < X < 7.8 ) = P(Z < 1.5) - P( Z < - 1.5)$

From the z-table the probability of (Z < -1.5) and ( Z <1.5) are

$P(Z < 1.5) = 0.93319$

and

$P(Z < -1.5) = 0.066807$

So

$P(7.2 < X < 7.8 ) =0.93319 - 0.066807$

$P(7.2 < X < 7.8 ) =0.0866383$

So

$P(A) = 1 - 0.0866383$

=> $P(A) = 0.133617$

5 0

2 years ago

11. Imagine that the stone is part of an arch, and that there is an isosceles triangle JEF formed by extending sides GE and HF d

Anna11 [10]

Answer:

one for each angle measure) Line GJ is transversal, and since the bases ... I cannot add the measurement to my drawing by they are both 84 degrees. i hope i helped??

Step-by-step explanation:

6 0

2 years ago

Divide 4p2 + 6 by 2p – 2. Which statements are true about the division? Select three options. The divisor is 2p – 2. The dividen

Dahasolnce [82]

Answer:

The answer to your question is below

Step-by-step explanation:

1.

2p + 2 ⇒ Quotient

Divisor ⇒ 2p - 2 4p² + 0p + 6 ⇒ Divident

-4p² + 4p

0 + 4p + 6

- 4p + 4

0 + 10 ⇒ Remainder

2. The dividend is 4p2 + 0p + 6.

The quotient is 2p + 2 + .

The remainder over the divisor is 10 / (2p - 2) .

To check the answer, multiply 2p + 2 + times 4p2 + 0p + 6 and verify that it equals the divisor.

(2p - 2)(2p + 2) = 4p⁴ + 4p - 4p - 4

= 4p⁴ - 4 + 10

= 4p⁴ + 10

5 0

2 years ago

the stained glass below shows bilateral symmetry. The two overlapping squares are congruent. What is the area of the window?

VARVARA [1.3K]

Answer:

116.82 square inches

Step-by-step explanation:

The overall shape is that of a 10-inch square with four triangles attached. Each of those is an isosceles right triangle with leg lengths of 2.9 inches.

The area of the four triangles is ...

total triangle area = 4(1/2)(2.9 in)(2.9 in) = 16.82 in²

The area of the 10-inch square is ...

square area = (10 in)² = 100 in²

Then the total window area is ...

window area = 16.82 in² +100 in²

window area = 116.82 in²

5 0

2 years ago