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11 days ago

10

Vera is using her phone. It's battery life is down to 1/2, and it drains another 1/8 every hour. How many hours will her battery

last?

2 answers:

babunello [11.8K]11 days ago

7 0

Vera's phone battery is currently at 1/2 remaining.
1 hour = 1/8.

To determine how many hours remain, divide 1/2 by 1/8 since you wish to figure out how many eighths of battery are left before depletion.

1/2 divided by 1/8 equals 4.

So, there are 4 hours left

Inessa [12.5K]11 days ago

4 0

Response: 4 is incorrect, I've verified this. The actual result is 18/5

Explanation:

You might be interested in

Triangle abc above is isosceles with an=ac and bc=48. The ratio of de to de is 5:7 . What is the length of dc

PIT_PIT [12445]

Answer:

The diagram displaying triangle ABC and the relevant statement along with the answer options is attached.

According to this, the answer is: The length of DC is 28.

Explanation:

From the diagram and the data that segment AB equals segment AC, you comprehend that angles B and C of the isosceles triangle ABC are congruent.

Triangles BED and CFD possess two sets of congruent angles (angle B is congruent to angle D, and angles BED and DFC are congruent), indicating that triangles BED and CFD are similar.

This similarity leads to the proportional relationship:

DE / DF = DB / DC

Given that the ratio of DE to DF is 5:7, we have:

5/7 = DB / DC

Also, it is stated that segment BC is 48.

From the figure:

BC = DB + DC = 48.

This results in two equations:

5/7 = DB / DC

DB + DC = 48.

Now, we define DC = x, which implies DB = 48 - x, leading to the equation:

5 / 7 = (48 - x) / x

Solve this:

5x = 7 (48 - x)... [multiplication property: multiply by x and 7]

5x = 336 - 7x... [distributive property]

12x = 336... [addition property: add 7x to both sides]

x = 336 / 12... [division property: divide by 12]

x = 28... [simplification]

Therefore, the length of segment x = DC = 28.

6 0

1 month ago

Bob's bill for dinner at surefire steak house was $45. In addition he piad 5°\° of the bill in tax and he left a tip for 15°\° o

tester [12383]

Response:

$54

Detailed steps to explanation:

Initially

45 multiplied by.05 equals 2.25

Next

45 added to 2.25

Following that

45 multiplied by.15 equals 6.75

Finally

45 plus 2.25 plus 6.75

5 0

22 days ago

About ten percent of users do not close Windows properly. Suppose that Windows is installed in a public library that is used by

lawyer [12517]

Answer:

Refer to the explanation

Step-by-step explanation:

As approximately 10% of users fail to close Windows properly, we determine:

The likelihood that a user neglects to shut down Windows correctly is $p=0.1;$
The likelihood that a user shuts the Windows properly is $q=1-p=1-0.1=0.9.$

A. On average,

one in ten users does not close Windows correctly;
10 out of 100 users fail to close Windows correctly.

B. The likelihood that precisely 8 out of the next 10 users will close Windows correctly is

$C^{10}_8\cdot q^{8}p^{10-8}=\dfrac{10!}{8!(10-8)!}\cdot (0.9)^8\cdot (0.1)^2=45\cdot (0.9)^8\cdot (0.1)^2\approx 0.1937$

6 0

1 month ago

Match each pair of points to the equation of the line that is parallel to the line passing through the points.

Svet_ta [12734]

It's known that

When two lines are parallel, their slopes are identical.

The slope between any two points can be calculated using the following formula:

$m=\frac{y2-y1}{x2-x1}$

We will calculate the slope for each case to find the solution to the problem.

Case A) Point $B(5,2)\ C(7,-5)$

Determine the slope of BC

Insert the values into the formula:

$m=\frac{-5-2}{7-5}$

$m=\frac{-7}{2}$

$m=-3.5$

Thus,

The equation $y=-3.5x-15$ is parallel to the line that goes through the points $B(5,2)\ C(7,-5)$

Therefore,

the result for Part A) is

$B(5,2)\ C(7,-5)$ ------> $y=-3.5x-15$

Case B) Point $D(11,6)\ E(5,9)$

Calculate the slope of DE

Plug the values into the formula:

$m=\frac{9-6}{5-11}$

$m=\frac{3}{-6}$

$m=-0.5$

Thus,

The equation $y=-0.5x-3$ is parallel to the line that goes through the points $D(11,6)\ E(5,9)$

Therefore,

the result for Part B) is

$D(11,6)\ E(5,9)$ ------> $y=-0.5x-3$

Case C) Point $F(-7,12)\ G(3,-8)$

Determine the slope of FG

Insert the values into the formula:

$m=\frac{-8-12}{3+7}$

$m=\frac{-20}{10}$

$m=-2$

Thus,

Any linear equation with slope $m=-2$ will be parallel to the line through the points $F(-7,12)\ G(3,-8)$

Case D) Point $H(4,4)\ I(8,9)$

Calculate the slope of HI

Substitute the values in the formula:

$m=\frac{9-4}{8-4}$

$m=\frac{5}{4}$

$m=1.25$

Thus,

The equation $y=1.25x+4$ is parallel to the line through the points $H(4,4)\ I(8,9)$

Therefore,

the result for Part D) is

$H(4,4)\ I(8,9)$ ------> $y=1.25x+4$

Case E) Point $J(7,2)\ K(-9,8)$

Determine the slope of JK

Insert the values into the formula:

$m=\frac{8-2}{-9-7}$

$m=\frac{6}{-16}$

$m=-0.375$

Thus,

Any linear equation characterized by slope $m=-0.375$ will be parallel to the line that runs through the points $J(7,2)\ K(-9,8)$

Case F) Point $L(5,-7)\ M(4,-12)$

Find the slope of LM

Substitute the values in the formula:

$m=\frac{-12+7}{4-5}$

$m=\frac{-5}{-1}$

$m=5$

Thus,

The equation $y=5x+19$ is parallel to the line connecting the points $L(5,-7)\ M(4,-12)$

Therefore,

the result for Part F) is

$L(5,-7)\ M(4,-12)$ ------> $y=5x+19$

8 0

1 month ago

Read 2 more answers

Suppose your statistics professor reports test grades as z-scores, and you got a score of 1.57 on an exam. a) Write a sentence

tester [12383]

Answer:

a) In this case, we have a z-score of 1.57, characterized as:

$z =\frac{x -\mu}{\sigma}$

This signifies that our score is 1.57 standard deviations above the average of all test scores.

b) $P(Z$

Using the normal standard distribution or Excel, we computed:

$P(Z$

This represents 2.275% of the dataset.

Step-by-step explanation:

Previous concepts

Normal distribution denotes a "probability distribution that is symmetric around the mean, indicating that data close to the mean occurs more frequently than data further from it".

The Z-score serves as "a statistical measurement representing a value's relation to the average (mean) of a set, calculated in terms of standard deviations away from the mean".

Solution to the problem

Part a

For this instance, we hold a z-score of 1.57, which is defined as:

$z =\frac{x -\mu}{\sigma}$

This shows that our score is 1.57 deviations above the overall test score average.

Part b

A z-score of z=-2 indicates that your friend's score is 2 deviations below the other test scores.

Assuming a normal distribution, we can derive the percentage:

$P(Z$

Using the normal standard distribution or Excel, we discovered:

$P(Z$

This represents 2.275% of the data.

6 0

1 month ago