MATHEMATICS HIGH SCHOOL

Find the mean of the numbers 10, 11, 12, 14, 12, 11, 13, 12, 14, and 11.

Answers

Answer 1

Answer:

Answer:

mean = 12

Step-by-step explanation:

the mean of a data set is calculated as

mean = $(sum)/(count)$

sum = 10 + 11 + 12 + 14 + 12 + 11 + 13 + 12 + 14 + 11 = 120

there are 10 values, so count = 10

Then

mean = $(120)/(10)$ = 12

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Maria determined that the length of her driveway from the main road is 35.25 meters.Which number sentence will tell how long Maria’s driveway is, measured in kilometers?

A.

35.25 × 100

B.

35.25 ÷ 1,000

C.

35.25 ÷ 100

D.

35.25 × 1,000

Answers

B, there are 1000m in a km.

Answer:

i think its B hope i helped

A peregrine falcon can fly 322 km/h h. How many meters can the falcon fly.

Answers

That depends on how many fish or mice he ate yesterday, how well
he slept last night, and where he really wants to be.

From the information given in the question, the only things we can
really say for sure is that if he maintains his top speed, he will fly
322,000 meters for every hour that he keeps it up, and that he will
be one scrawny, exhausted bird when it's all over.

(09.02 HC)The function f(x) = −x2 + 50x − 264 models the profit, in dollars, a yoga studio makes for selling monthly memberships, where x is the number of memberships sold and f(x) is the amount of profit.
Part A: Determine the vertex. What does this calculation mean in the context of the problem? (5 points)

Part B: Determine the x-intercepts. What do these values mean in the context of the problem?

Answers

We factor the equation to get:

-(x-25)^2+361

In the form a(x-h)^2+k, the vertex is (h, k), so the vertex is (25, 361). This means that the studio makes the most profit from selling 25 memberships, and thus makes 361 dollars.

B. The x-intercepts are the values of x for which f(x) is 0. This equation can be factored as (-a+6)(a-44)=0, with solutions 6 and 44. Therefore, by selling either 6 memberships or 44 memberships, the studio breaks even, neither making nor losing money.

Answer:

x = 6, x = 44; The zeros represent the number of monthly memberships when no profit is made.

Step-by-step explanation:

I took the quiz and got it right.

What number can be subtracted from both the numerator and the denominator of this fraction to produce the fraction on the right? 34/53 -?=1/2

Answers

$(34-x)/(53-x)= (1)/(2) \ \ \ \Leftrightarrow\ \ \ 53-x=2(34-x)\ \ \wedge\ \ \ x \neq 53\n \n53-x=68-2x\n \n-x+2x=68-53\n \nx=15\n \ncheck\ result:\n \n (34-15)/(53-15) = (19)/(38) =(1)/(2)$

If six out of 15 customers order a chicken sandwich, how many chicken sandwiches should a restaurant predict they will need to serve 270 people?108
270
90
120

Answers

Given:
6 out of 15 customers order a chicken sandwich
270 customers

This is a problem of ratio and proportion:

a/b = c/d where ad = bc
6/15 = x/270
6 * 270 = 15x
1,620 = 15x
1620 / 15 = x
108 = x

The restaurant should predict to serve 108 chicken sandwich to the 270 people.

Answer:

108 = x

Step-by-step explanation:

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a/b = c/d where ad = bc

6/15 = x/270

6 * 270 = 15x

1,620 = 15x

1620 / 15 = x

What is x^2+8x-5 in vertex form? Please explain.