A) Deltoid:<br> a = 89 mm; e = 110 mm; f = 78 mm; b= ?<br> anybody know the answer??

Ben and Alyssa play a game in which they earn the same number of points for each goal and lose the same number of points for eac

Nadya [2.5K]

Answer:

Each goal gives 5 points and a penalty costs 7 points.

Step-by-step explanation:

Let a penalty cost = x points

And a goal gives = y points

Ben makes 7 goals and 2 penalties ending the game with 21 points,

7y - 2x = 21 --------(1)

Alyssa makes 10 goals and 8 penalties ending the game with (-6) points,

10y - 8x = -6

5y - 4x = -3 --------(2)

Equation (1) multiplied by 2, then subtracted from equation (2),

(5y - 4x) - 2(7y - 2x) = -3 - 2(21)

5y - 4x - 14y + 4x = -3 - 42

-9y = -45

y = 5

From equation (1)

7(5) - 2x = 21

35 - 2x = 21

2x = 35 - 21

2x = 14

x = 7

Therefore, each goal gives 5 points and a penalty costs 7 points.

5 0

2 years ago

To help consumers assess the risks they are taking, the Food and Drug Administration (FDA) publishes the amount of nicotine foun

QveST [7]

Answer:

We conclude that the mean nicotine content is less than 31.7 milligrams for this brand of cigarette.

Step-by-step explanation:

We are given the following in the question:

Population mean, μ = 31.7 milligrams

Sample mean, $\bar{x}$ = 28.5 milligrams

Sample size, n = 9

Alpha, α = 0.05

Sample standard deviation, s = 2.8 milligrams

First, we design the null and the alternate hypothesis

$H_{0}: \mu = 31.7\text{ milligrams}\\H_A: \mu < 31.7\text{ milligrams}$

We use One-tailed t test to perform this hypothesis.

Formula:

$t_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{s}{\sqrt{n}} }$

Putting all the values, we have

$t_{stat} = \displaystyle\frac{28.5 - 31.7}{\frac{2.8}{\sqrt{9}} } = -3.429$

Now, $t_{critical} \text{ at 0.05 level of significance, 8 degree of freedom } = -1.860$

Since,

$t_{stat} < t_{critical}$

We fail to accept the null hypothesis and accept the alternate hypothesis. We conclude that the mean nicotine content is less than 31.7 milligrams for this brand of cigarette.

3 0

3 years ago

A box has two balls, one white and one red. We select one ball, put it back in the box, and select a second ball (sampling with

AleksAgata [21]

Answer:

P (T) = 1/4

P ( T | F ) = 1/2 = P(F)

The events are not independent.

Step-by-step explanation:

Let F the event of picking the white ball first

P (F)= 1/2 ( picking the white ball first)

Let T be the event of getting the white ball twice,

P (T) = P( getting white ball) * P( getting white ball)

=( 1/2)*(1/2)

= 1/4

Here P(T∩F) = P(T) because the probability of getting the white balls is the same as probability of getting the white ball first both the times.

P ( T | F ) = P (T∩F)/ P(F)

= (1/4)/ (1/2)

= (1/2)

= 1/2 = P(F)

For the events to be independent the conditional probability P ( T | F ) must be equal to P(T).

Hence the events are not independent.

4 0

2 years ago

The factors of the quadratic function g(x) are (5x – 1) and (x + 4). What are the solutions to the equation g(x) = 0?

Cerrena [4.2K]

Answer:

The solutions to the equation are $x = \frac{1}{5}$ and $x = -4$

Step-by-step explanation:

The factors of the quadratic function g(x) are (5x – 1) and (x + 4).

This means that:

$g(x) = 0$

$(5x - 1)(x + 4) = 0$

So

$5x - 1 = 0$

$5x = 1$

$x = \frac{1}{5}$

And

$x + 4 = 0$

$x = -4$

The solutions to the equation are $x = \frac{1}{5}$ and $x = -4$

7 0

3 years ago

A cleaning crew can clean 5 offices in 6hours.how many offices can they clean in 12 hours

snow_lady [41]

Set up a proportion like this
   $\frac{hours}{offices}$ = $\frac{hours}{offices}$

So your proportion would be:
$\frac{6}{5} = \frac{12}{x}$
We put x for offices because they are asking for the number o offices a crew can paint in 12 hours, and also we don't know the number of offices they can paint in 12 hours
   so we cross multiply and we get
   6x=60, we got 60 by multiplying 12 and 5
Now we divide both sides by 6 and we get
x=10
S the crew can paint 10 offices in 12 hours.

6 0

2 years ago

Read 2 more answers

A) Deltoid: a = 89 mm; e = 110 mm; f = 78 mm; b= ? anybody know the answer??