3/5y+5=7 what's the answer to this

In a ten pin bowling the highest possible score in a single game is 300. At one point in the season, John had an average score o

Sindrei [870]

Answer:

John need to get 293 in his next game to bring his average up to 183.

Step-by-step explanation:

John starts with N games played and averaging 177 points per game.

In game N+1, John scored 199 points.

$\frac{177N + 199}{N+1}=178\\177N+199=178N+178\\N=21\\$

So, John has now played (N+1) = 22 games.

We need to know what score John needs in game 23 to bring his average to 183.

$\frac{177*21 + 199+Y}{23}=183\\3916+Y=4209\\Y=293\\$

8 0

3 years ago

Need help 10 points

Citrus2011 [14]

Answer:

50.24

Step-by-step explanation:

8 is the radius of the circle, so using A=πr^2, the equation would be A=(3.14*8^2)/4

(Dividing by 4 because we are solving for 1/4 of a circle, and substituting pi for 3.14)

(3.14*8^2)=200.96

200.96/4=50.24

3 0

2 years ago

What is the combined weight of the zoo’s African elephant and the rhino

mojhsa [17]

What is the separate weight

4 0

3 years ago

Read 2 more answers

A gallup survey indicated that 72% of 18- to 29-year-olds, if given choice, would prefer to start their own business rather than

Neko [114]

Answer:

The probability that no more than 70% would prefer to start their own business is 0.1423.

Step-by-step explanation:

We are given that a Gallup survey indicated that 72% of 18- to 29-year-olds, if given choice, would prefer to start their own business rather than work for someone else.

Let $\hat p$ = sample proportion of people who prefer to start their own business

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

Z = $\frac{\hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ ~ N(0,1)

where, p = population proportion who would prefer to start their own business = 72%

n = sample of 18-29 year-olds = 600

Now, the probability that no more than 70% would prefer to start their own business is given by = P( $\hat p$ $\leq$ 70%)

P( $\hat p$ $\leq$ 70%) = P( $\frac{\hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ $\leq$ $\frac{0.70-0.72}{\sqrt{\frac{0.70(1-0.70)}{600} } }$ ) = P(Z $\leq$ -1.07) = 1 - P(Z < 1.07)

= 1 - 0.8577 = 0.1423

The above probability is calculated by looking at the value of x = 1.07 in the z table which has an area of 0.8577.

3 0

3 years ago

What is the answer ?

kifflom [539]

The system of inequalities is the following:

i) y ≤ –0.75x
ii)y ≤ 3x – 2

since $0.75= \frac{75}{100}= \frac{3}{4}$ , we can write the system again as

$i) y \leq - \frac{3}{4}x$
$ii) y \leq 3x-2$

Whenever we are asked to sketch the solution of a system of linear inequalities, we:

1. Draw the lines
2. Color the regions of the inequalities.
3. The solution is the region colored twice.

A.

to draw the line $y =- \frac{3}{4}x$

consider the points: (-4, 1) and (0, 0), or any 2 other points (x,y) for which $y =- \frac{3}{4}x$ hold.

since we have an "smaller or equal to" inequality, the line is a solid line (not dashed, or dotted).

In order to find out which region of the line to color, consider a point not on the line, for example P(1, 1), which is clearly in the upper region of the line.

For (x, y)=(1, 1) the inequality $y \leq - \frac{3}{4}x$ , does not hold because

$1 \leq - \frac{3}{4}*1= -\frac{3}{4}$ is not true,

this means that the solution is the region of the line not containing (1, 1), as shown in picture 1.

B.
similarly, to draw the solution of inequality ii) y ≤ 3x – 2,

we first draw the line y=3x-2, using the points (0, -2) and (2, 4), or any other 2 points (x,y) for which y=3x-2 holds.

after we draw the line, we can check the point P(1, 7) which clearly is above the line y=3x-2.

for (x, y) = (1, 7), the inequality y ≤ 3x – 2 does not hold

because 7 is not ≤ 3*1-2=1, so the region we color is the one not containing P(1, 7), as shown in picture 2.

The solution of the system is the region colored with both colors, the solid lines included. Check picture 3.

the lines intersect at (0.533, -0.4) because:

–0.75x=3x-2
-0.75x-3x=-2
-3.75x=-2, that is x= -2/(-3.75)=0.533

for x=0.533, y=3x-2=3(0.533)-2=-0.4

Answer: Picture 3, the half-lines included. So the graph is in the 3rd and 4th Quadrants

8 0

3 years ago