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Law Incorporation [45]
3 years ago
9

Jaylyn rode her bicycle in a bike-a-thon she wrote 33.48 miles in 2.7 hours if she rode at the same speed what was her speed in

miles per hours
Mathematics
2 answers:
Eddi Din [679]3 years ago
7 0
If she rode at the same speed it means the speed was same all the time. THis allows us to calculate average speed.

Average speed is defined by a formula:
speed =  \frac{distance}{time}

We have:
distance = 33.48 miles
time = 2.7 hours
speed = ?
speed =  \frac{33.48}{2.7}  \\ speed = 12.4 mph

Juliette [100K]3 years ago
4 0
To solve this problem you must apply the formula for calculate the speed, which is:
 
 V=d/t
 
 V is the speed.
 d is the distance (d=33.48 miles).
 t is the time (t=2.7 hours).
 
 Then, when you substitute this values into the formula for calculate the speed, you obtain:
 
 V=d/t
 V=33.48 miles/2.7 hours
 
 Therefore, the result is:
 
 V=12.40 miles/hour
 
 W<span>hat was her speed in miles per hours?
</span> 
 The answer is: 12.40 miles/hour
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Your straight line is east-west
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3 years ago
Write an equation in a point-slope form that passes through the given point with the given slope (3, 5), m = -4 and-1, 8), m = ½
4vir4ik [10]

Answer:

\large\boxed{y-5=-4(x-3)}\\\boxed{y-8=\dfrac{1}{2}(x+1)}

Step-by-step explanation:

The point-slope form of an equation of a line:

y-y_1=m(x-x_1)

m - slope

m=-4,\ (3,\ 5)\\\\y-5=-4(x-3)

m=\dfrac{1}{2},\ (-1,\ 8)\\\\y-8=\dfrac{1}{2}(x-(-1))\\\\y-8=\dfrac{1}{2}(x+1)

8 0
3 years ago
A simple random sample of 32 men from a normally distributed population results in a standard deviation of 12.9 beats per minute
krok68 [10]

Answer:

Null Hypothesis, H0 = The pulse rates of men have a standard deviation equal to 10 beats per minute

Alternate Hypothesis, H1 = The pulse rates of men do not have a standard deviation equal to 10 beats per minute

Step-by-step explanation:

The null hypothesis is basically the problem statement i.e

Pulse rates of men have a standard deviation equal to 10 beats per minute

Hence, H0 = The pulse rates of men have a standard deviation equal to 10 beats per minute

The alternate hypothesis will contradict or negate the null hypothesis i.e

H1 = The pulse rates of men do not have a standard deviation equal to 10 beats per minute

4 0
2 years ago
The LB Company has long manufactured a light bulb with an average life of 5400 hours. Company researchers have recently develope
elena55 [62]
<h2><u>Answer with explanation</u>:</h2>

Let \mu be the average life of light bulbs.

As per given , we have

Null hypothesis : H_0 : \mu =5400

Alternative hypothesis : H_a : \mu >5400

Since H_a is right-tailed and population standard deviation is also known, so we perform right-tailed z-test.

Formula for Test statistic : z=\dfrac{\overlien{x}-\mu}{\dfrac{\sigma}{\sqrt{n}}}

where, n= sample size

\overline{x}= sample mean

\mu= Population mean

\sigma=population standard deviation

For n=95,\ \overline{x}=5483\ \&\ \sigma=500, we have

z=\dfrac{5483-5400}{\dfrac{500}{\sqrt{95}}}=1.61796786124\approx1.6180

Using z-value table , Critical one-tailed test value for 0.06 significance level :

z_{0.06}=1.5548

 Decision : Since critical z value (1.5548) < test statistic (1.6180), so we reject the null hypothesis .

[We reject the null hypothesis when critical value is less than the test statistic value .]

Conclusion : We have enough evidence at 0.06 significance level to support the claim that the new filament yields a longer bulb life

8 0
3 years ago
the quadratic function f(x) has a factors of (x-13) and (x+6). What is the larger x-intercept of f(x)?
MAXImum [283]

Answer:

13

Step-by-step explanation:

  1. f(x) = (x-13)(x+6)
  2. x^2 - 7x - 78
  3. x = 13, -6
8 0
2 years ago
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