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nevsk [136]
3 years ago
13

Bob drove 120 miles on his vacation. He drove an average of 1.2 times faster on the second 60 miles of his trip than he did on t

he first 60 miles of his trip. Which expression represents the time he spent driving? Let x = his speed on the first half of the trip.
Mathematics
2 answers:
marusya05 [52]3 years ago
5 0
V = x ( his speed on the first half of the trip )
1.2 v = 1.2 x ( his speed on the second half of the trip )
t = d / v
t = 60 / x + 60 / 1.2 x = 60/ x + 50 / x = 110 / x
Answer: A ) 110 / x
katrin [286]3 years ago
5 0

Answer:

\frac{110}{x}

Step-by-step explanation:

Given,

Total distance = 120 miles,

Here x represents Bob's speed on the first half of the trip( 60 miles ).

Time=\frac{Distance}{Speed}

So, the time taken in first half = \frac{60}{x}

Now, He drove an average of 1.2 times faster on the second half than first half,

⇒ His speed in second half = 1.2 x,

So, the time taken in second half = \frac{60}{1.2x}

Hence, the total time taken by him = the time taken in first half + the time taken in second half

=\frac{60}{x}+\frac{60}{1.2x}

=\frac{72+60}{1.2x}

=\frac{132}{1.2x}

=\frac{1320}{12x}

=\frac{110}{x}

Which is the required expression.

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A quality control engineer at a potato chip company tests the bag filling machine by weighing bags of potato chips. Not every ba
jekas [21]

Answer:

The test statistic is z = 1.865.

Step-by-step explanation:

The test statistic is:

z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}

In which X is the sample mean, \mu is the value tested at the null hypothesis, \sigma is the standard deviation and n is the size of the sample.

H0: p = 0.11

This means that 0.11 is tested at the null hypothesis, and so:

\mu = 0.11

\sigma = \sqrt{0.11*0.89} = 0.3129

The engineer weighs 94 bags and finds that 16 of them are over-filled.

This means that:

n = 94, X = \frac{16}{94} = 0.1702

What is the test statistic?

z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}

z = \frac{0.1702 - 0.11}{\frac{0.3129}{\sqrt{94}}}

z = 1.865

The test statistic is z = 1.865.

6 0
3 years ago
Remi invests £600 for 5 years in a savings account.
Daniel [21]

Answer:

225600

Step-by-step explanation:

Simple interest formula:

A = P(1 + rt)

A = final amount

P = initial principal balance

r = annual interest rate

t = time (in years)

So...

A = 600(1 +(75 x 5) )

75 x 5 = 375

1 + 375 = 376

600 x 376 = 225600

A = 225600

6 0
3 years ago
Which function has an inverse function?
daser333 [38]

Answer: Option B

Step-by-step explanation:

By definition, only those functions that are one to one have an inverse function.

A function is one by one if there are not two different input values, x_1 and x_2, that have the same output value y

Note that the function f(x)= \frac{|x+3|}{5}  is not a one-to-one function

When x=2  f(x)= \frac{|2+3|}{5}=1\ ,\ \ y=1

When x=8  f(x)= \frac{|-8+3|}{5}=1\ \ ,\ y=1

Note that the function f(x)= \frac{x^4}{7}+ 27  is not a one-to-one function

When x=1 f(x)= \frac{(1)^4}{7}+27\ ,\ \ y=\frac{190}{7}

When x=-1  f(x)= \frac{(-1)^4}{7}+27\ ,\ \ y=\frac{190}{7}

Note that the function f(x)= \frac{1}{x^2}  is not a one-to-one function

When x=1 f(x)= \frac{1}{(1)^2}\ ,\ \ y=1

When x=-1  f(x)= \frac{1}{(-1)^2}\ ,\ \ y=1

Then the answer is the option B.

You can verify that The function f (x) = x ^ 5-3 is a one-to-one function and therefore its inverse is a function

5 0
3 years ago
Can someone pls i will give brainliest :)
satela [25.4K]

Answer:

149 degrees

Step-by-step explanation:

<u>Higher value: </u>

114

<u>Lower value:</u>

-35

<u>Finding the difference:</u>

114 - (-35)

114 + 35

149

6 0
2 years ago
Read 2 more answers
Need Help Asap!! Will Give Brainliest!!
crimeas [40]

Answer:

y=2x-1

Step-by-step explanation:

8 0
3 years ago
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