High School Mathematics 5+3 pts

Please answer the following question in the picture:

vova2212 [387]

Answer:

86 degrees

Hope this helps!

6 0

3 years ago

Read 2 more answers

A car has a full tank of gas, holding

valina [46]

Answer:

The mileage of the car is 30 miles per gallon

Step-by-step explanation:

Here, we are interested in calculating the gas mileage of the car.

The gas mileage refers to the number of kilometers the car can travel on a particular amount of fuel.

The full capacity of the car tank is 15 gallon

Now after traveling 300 miles, it stops for gas and 10 gallons of fuel are added to make the car full again.

What this means is that the car used up a total of 10 gallons of fuel for the 300 miles

Thus, the gas mileage of the car is that it used 10 gallons to travel a total of 300 miles

Expressing this as a ratio, we have 300 miles/10 gallons = 30 miles/ gallon

This means that on a gallon of fuel, the car can travel 30 miles

4 0

3 years ago

A certain bowler can bowl a strike 85 % of the time. What is the probability that she a) goes three consecutive frames without

Artist 52 [7]

Answer:

a) 0.34% probability that she goes three consecutive frames without a strike.

b) 1.91% probability that she her first strike in the third frame

c) 99.66% probability that she has at least one strike in the first three frames.

d) 14.22% probability that she bowls a perfect game.

Step-by-step explanation:

For each frame, there are only two possible outcomes. Either there is a strike, or there is not. The probability of a strike happening in a frame is independent of other frames. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

A certain bowler can bowl a strike 85 % of the time.

This means that $p = 0.85$

a) goes three consecutive frames without a strike?

This is $P(X = 0)$ when $n = 3$ . So

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 0) = C_{3,0}.(0.85)^{0}.(0.15)^{3} = 0.0034$

0.34% probability that she goes three consecutive frames without a strike.

b) makes her first strike in the third frame?

No strike during the first two(with a 15% probability)

Strike during the third(85% probability). So

P = 0.15*0.15*0.85 = 0.0191

1.91% probability that she her first strike in the third frame

c) has at least one strike in the first three frames? 

Either there are no strikes, or there is at least one strike. The sum of the probabilities of these events is 100%.

From a), 0.34% probability that she goes three consecutive frames without a strike.

100 - 0.34 = 99.66

99.66% probability that she has at least one strike in the first three frames.

d) bowls a perfect game (12 consecutive strikes)?

This is $P(X = 12)$ when $n = 12$ . So

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 12) = C_{12,12}.(0.85)^{12}.(0.15)^{0} = 0.1422$

14.22% probability that she bowls a perfect game.

3 0

4 years ago

Which expression is the simplest form of 2x3 + x2 +3 (23 – 4.x)?

Daniel [21]

Answer:

Which expression is the simplest form of 2x3 + x2 +3 (23 – 4.x)?

Wait I am editing the answers

8 0

3 years ago

The width of a rectangle measures (3.1s – 1.6) centimeters, and its length

stepladder [879]

Answer:

Expression for perimeter of rectangle is:

$\bold{Perimeter = (20.6s-12.4)\ centimeters}$

Step-by-step explanation:

Width of rectangle is given as $( 3.1 s - 1.6 )$ centimeters and

length of the rectangle is given as $(7.2s - 4.6)$ centimeters.

To find:

The expression to represent the perimeter of rectangle in centimeters.

Solution:

First of all, let us have a look at the formula to calculate the perimeter of a rectangle.

Perimeter of a polygon is equal to sum of all the sides.

In rectangle, we have a total of 4 sides, 2 sides equal to the width and 2 sides are equal to the length of rectangle.

Therefore, perimeter of a rectangle is equal to twice the sum of width and length of the rectangle.

So, formula:

$Perimeter = 2(l+w)$

Where $l$ is the length of rectangle and

$w$ is the width of rectangle.

Putting the values of length and width as given in the question statement to find its perimeter:

$Perimeter = 2((3.1s-1.6) +(7.2s-4.6))\\\Rightarrow Perimeter = 2(10.3s-6.2)\\\Rightarrow \bold{Perimeter = (20.6s-12.4)\ centimeters}$

6 0

3 years ago