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3 years ago

What is the initial value of the function represented by this table?

Mathematics

1 answer:

lakkis [162]3 years ago

4 0

Answer:

Option D. 5

Step-by-step explanation:

we know that

The initial value of the function is the y-intercept, so is the value of the function when the value of x is equal to zero

In this problem observing the table

For x=0

The value of y is equal to y=5

therefore

The initial value is 5

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3 years ago

Anty was riding his bike to school at a speed of 12 mph. When he was of the way there, he got a flat tire. His mother drove him

NemiM [27]

Complete question:

Anty was riding his bike to school at a speed of 12 mph. When he was <u>half </u>of the way there, he got a flat tire. His mother drove him the rest of the way at a speed of 48 mph. What was his average speed?

Answer:

His average speed is 19.2 mph

Step-by-step explanation:

Given;

speed of Anty to school half of the way, v₁ = 12 mph

speed of Anty when his mother drove him half of the way, v₂ = 48 mph

The average speed of Anty is calculated as;

$V_{average} = \frac{Total \ distance }{Total \ time }$

The value of the average speed is closer to 12 mph than 48 mph because Anty spent more time moving at 12 mph than at 48 mph.

Let the equal distance travel at each speed = 96 miles

Time taken at 12 mph = $\frac{96 \ mile}{12 \ m/h} = 8 \ hours$

Time taken at 12 mph = $\frac{96 \ mile}{48 \ m/h} = 2 \ hours$

Average speed = $\frac{Total \ distance}{Total \ time } = \frac{96 \ mile \ + \ 96 \ mile}{2\ hr \ + \ 8\ hr} = \frac{192 \ miles}{10 \ hrs} = 19.2 \ mph$

Also, you can assume any other equal distance traveled at each speed, the average speed will still be 19.2 mph.

<u>Check:</u> let the equal distance traveled at each speed = 480 miles

Time taken at 12 mph = 480/12 = 40 hours

Time taken at 48 mph = 480/ 48 = 10 hours

Average speed = (480 + 480) / (40 + 10)

= 19.2 mph

8 0

3 years ago

The Boston public school district has had difficulty maintaining on-time bus service for its students ("A Year Later, School Bus

erma4kov [3.2K]

Answer:

Step-by-step explanation:

We would set up the hypothesis test. This is a test of a single population mean since we are dealing with mean

For the null hypothesis,

µ = 12

For the alternative hypothesis,

µ < 12

Since the population standard deviation is given, z score would be determined from the normal distribution table. The formula is

z = (x - µ)/(σ/√n)

Where

x = sample mean

µ = population mean

σ = population standard deviation

n = number of samples

From the information given,

µ = 12 minutes

x = 8 minutes

σ = 12 minutes

n = 36

z = (8 - 12)/(12/√36) = - 4/2 = - 2

Test statistic = - 2

6 0

3 years ago

What is the probability of drawing a 3 letter name? 2/10 or 1/5

uysha [10]

Hi
both are the same answers
if u divide 2/10
u will get 1/5
u always have to write the simplest form of the fraction

5 0

3 years ago