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stealth61 [152]
3 years ago
6

If Tony can run 3 miles in 18 minutes. How far can he run in 27 minutes?

Mathematics
1 answer:
Rzqust [24]3 years ago
4 0
4 miles and half because every 6 minutes Tiny runs 1 mile.
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Given the definitions of f(x) and g(x) below, find the value of g(f(-1)).
Reptile [31]

Answer:

-14

Step-by-step explanation:

f(x) = -4x – 7 \\ plug \: x =  - 1 \\ f( - 1) =  - 4( - 1) - 7 = 4 - 7 =  - 3 \\g(x) = x² + 7x – 2 \\g(f( - 1)) =  {( - 3)}^{2}  + 7( - 3) - 2 \\  = 9 - 21 - 2 \\= - 14

5 0
2 years ago
The actual volumes of soda in quart-sized bottles can be described by a Normal model with a mean of 32.3 fluid ounces and a stan
VLD [36.1K]

Answer:The percentage of bottles expected to have a volume less than 32 or is 40.13%

Step-by-step explanation: The volumes of soda in quart soda bottles can be represented by a Nomal model with a= 32.3 oz

b=1.2 oz

Let S be the volume of randomly selected soda bottles

Y-score: S-a/b

For S=32 oz

Substitute the values of S,a and b into the equation

Y=32-32.3/1.2

Y=-0.25

Probability of bottles that have a volume less than 32 oz is

P(S<32)=P(Y<-025)= 0.40129

Percentage of bottles that have volume less than 32 oz will be

0.40127×100%=40.13%

5 0
3 years ago
At a cell phone assembly plant, 77% of the cell phone keypads pass inspection. A random sample of 111 keypads is analyzed. Find
Serggg [28]

Answer:

The probability that the proportion of passed keypads is between 0.72 and 0.80 is 0.6677.

Step-by-step explanation:

According to the Central limit theorem, if from an unknown population large samples of sizes <em>n</em> > 30, are selected and the sample proportion for each sample is computed then the sampling distribution of sample proportion follows a Normal distribution.

The mean of this sampling distribution of sample proportion is:

 \mu_{\hat p}=p

The standard deviation of this sampling distribution of sample proportion is:

\sigma_{\hat p}=\sqrt{\frac{p(1-p)}{n}}

Let <em>p</em> = the proportion of keypads that pass inspection at a cell phone assembly plant.

The probability that a randomly selected cell phone keypad passes the inspection is, <em>p</em> = 0.77.

A random sample of <em>n</em> = 111 keypads is analyzed.

Then the sampling distribution of \hat p is:

\hat p\sim N(p,\ \sqrt{\frac{p(1-p)}{n}})\\\Rightarrow \hat p\sim N (0.77, 0.04)

Compute the probability that the proportion of passed keypads is between 0.72 and 0.80 as follows:

P(0.72

                             =P(-1.25

Thus, the probability that the proportion of passed keypads is between 0.72 and 0.80 is 0.6677.

8 0
3 years ago
HELP ME ASAP!!! A cargo plane left Los Angeles seven hours before an Air Force plane. The planes flew in opposite directions. Th
Fittoniya [83]

The cargo plane's speed was 500 mph.

7 0
3 years ago
What is the answer to this equation t+t+t=12
OLEGan [10]

Answer:

t = 4

General Formulas and Concepts:

<u>Pre-Algebra</u>

  • Order of Operations: BPEMDAS
  • Equality Properties

<u>Algebra I</u>

  • Combining Like Terms

Step-by-step explanation:

<u>Step 1: Define equation</u>

t + t + t = 12

<u>Step 2: Solve for </u><em><u>t</u></em>

  1. Combine like terms (t):                    3t = 12
  2. Divide 3 on both sides:                   t = 4

<u>Step 3: Check</u>

<em>Plug in t into the original equation to verify it's a solution.</em>

  1. Substitute in <em>t</em>:                    4 + 4 + 4 = 12
  2. Add:                                    8 + 4 = 12
  3. Add:                                    12 = 12

Here we see that 12 does indeed equal 12.

∴ t = 4 is a solution of the equation.

3 0
3 years ago
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