Simplify the following (-4)-2/7

Answers

Answer 1

Answer:

Answer:

(-4)-2/7=-30/7

Step-by-step explanation:

Related Questions

-10n + 3 = -117Show work
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In the diagram shown, M, N and P are collinear and QM=QN as shown. If mMQN = 48" andmNQP = 33. Justify why QNP must be isosceles.
Please answer question 10 and 11 please
4/7 in simplest form

2. Customers who purchase a certain model of car can order an engine in any of three sizes. Of all cars of this type sold, 45% have a small engine, 35% have a medium-sized engine, and 20% have a large engine. Of cars with the small engine, 10% fail an emission test within two years of purchase, while 12% of those with the medium size and 15% of those with the large engine fail. If a randomly chosen car of this model fails an emission test within two years, what is the probability it is a car with a small engine

Answers

Answer: 0.1397 ; 0.385

Step-by-step explanation:

Given the following :

Small engine population = 45% ; 10% fail

Medium engine population = 35% ; 12% fail

Large engine population = 20% ; 15% fail

Probability that a randomly chosen car fails emission test :

P(failure) = Σ(population % * failure %)

P(failure) = (45%*10%) + (35%*12%) + (20%*15%)

P(failure) = 0.045 + 0.042 + 0.03 = 0.117

B) what is the probability it is a car with a small engine

P = small engine cars with emission failure / total emission failure

= (0.45 × 0.1) / 0.117 = 0.045 / 0.117 = 0.3846

= 0.385

2 mi. yd. I'm confused

Answers

Answer && Step-by-step explanation:

Obtain yards by multiplying miles by 1760

== 3520 yards

Dical and exponent
What is 6
in radical form?

Answers

The square root pf a number can be simplified only if the number is divisible by a perfect square (other than 1).
√
12
can be simplified because
12
is divisible by
4
-- a perfect square.
√
12
=
√
4
×
3
=
√
4
×
√
3
=
2
√
3
√
250
can be simplified because
250
is divisible by
25

√
250
=
√
25
×
10
=
√
25
×
√
10
=
5
√
10
But
6
is not divisible by a perfect square, so
√
6
cannt be simpified further.

A cooler contains eleven bottles of sports drink: four lemon-lime flavored and seven orange flavored. you randomly grab a bottle and give it to your friend. then, you randomly grab a bottle for yourself. you and your friend both get lemon-lime.find the probability of this occurring.

Answers

The probability that you will choose a lemon-lime for your friend is the number of lemon-limes divided by the total number of drinks, 4/11.

The probability that you will subsequently choose one for yourself is the same ratio with different numbers (because a lemon-lime has already been selected), 3/10.

The probability of both of these events occurring is the product of their individual probabilities: (4/11)·(3/10) = 6/55

The sizes of houses in Kenton County are normally distributed with a mean of 1346square feet with a standard deviation of 191 square feet. For a randomly selected
house in Kenton County, what is the probability the house size is:
a. over 1371 square feet?
O Z=
o probability =
b. under 1296 square feet?
O Z=
o probability =
c. between 773 and 1637 square feet?
o zl =
o Z2 =
o probability =
Note: Z-scores should be rounded to 2 decimal places & probabilities should be
rounded to 4 decimal places.
License
Points possible: 8
This is attempt 1 of 3.

Answers

Answer:

(a) The probability that the house size is over 1371 square feet is 0.4483.

(b) The probability that the house size is under 1296 square feet is 0.3974.

(c) The probability that the house size is between 773 and 1637 square feet is 0.9344.

Step-by-step explanation:

We are given that the sizes of houses in Kenton County are normally distributed with a mean of 1346 square feet with a standard deviation of 191 square feet.

Let X = the sizes of houses in Kenton County

The z-score probability distribution for the normal distribution is given by;

Z = $(X-\mu)/(\sigma)$ ~ N(0,1)

where, $\mu$ = mean size of houses = 1346 square feet

$\sigma$ = standard deviation = 191 square feet

(a) The probability that the house size is over 1371 square feet is given by = P(X > 1371 square feet)

P(X > 1371) = P( $(X-\mu)/(\sigma)$ > $(1371-1346)/(191)$ ) = P(Z > 0.13) = 1 - P(Z $\leq$ 0.13)

= 1 - 0.5517 = 0.4483

The above probability is calculated by looking at the value of x = 0.13 in the z table which has an area of 0.5517.

(b) The probability that the house size is under 1296 square feet is given by = P(X < 1296 square feet)

P(X < 1296) = P( $(X-\mu)/(\sigma)$ < $(1296-1346)/(191)$ ) = P(Z < -0.26) = 1 - P(Z $\leq$ 0.26)

= 1 - 0.6026 = 0.3974

The above probability is calculated by looking at the value of x = 0.26 in the z table which has an area of 0.6026.

(c) The probability that the house size is between 773 and 1637 square feet is given by = P(773 square feet < X < 1637 square feet)

P(773 < X < 1637) = P(X < 1637) - P(X $\leq$ 773)

P(X < 1637) = P( $(X-\mu)/(\sigma)$ < $(1637-1346)/(191)$ ) = P(Z < 1.52) = 0.9357

P(X $\leq$ 773) = P( $(X-\mu)/(\sigma)$ $\leq$ $(773-1346)/(191)$ ) = P(Z $\leq$ -3) = 1 - P(Z $\leq$ 3)

= 1 - 0.9987 = 0.0013

The above probabilities are calculated by looking at the value of x = 1.52 and x = 3 in the z table which has an area of 0.9357 and 0.9987 respectively.

Therefore, P(773 square feet < X < 1637 square feet) = 0.9357 - 0.0013 = 0.9344.

A submarine descends 1/120 mile every minute. Write a product of three or more rational numbers to represent the change in the submarines elevation after 3 hours. Then find the value of the product and explain what it represents.

Answers

9514 1404 393

Answer:

(1/120 mile/min)(60 min/h)(3 h)

1.5 mile

the increase in depth after 3 hours

Step-by-step explanation:

The rate is given in terms of miles per minute. To find the elevation after 3 hours, we need a conversion from minutes to hours. One possible product is ...

(1/120 mile/min)(60 min/h)(3 h)

The value of this product is ...

(1·60·3)/(120·1·1) mile = 1.5 mile

The value represents the increase in depth after 3 hours.

Final answer:

The product of three rational numbers is 1.5, which represents the change in the submarine's elevation after 3 hours.

Explanation:

To represent the change in the submarine's elevation after 3 hours, we need to find the product of the descent rate per minute and the total number of minutes in 3 hours. The descent rate per minute is 1/120 mile, and there are 60 minutes in an hour. So, the product is:

(1/120) * (60 * 3)

Simplifying the expression:

(1/120) * 180 = 1.5

The value of the product, 1.5, represents the total change in the submarine's elevation after 3 hours. Since the submarine is descending, the elevation decreases by 1.5 miles.