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3 years ago

Help me please, due soon

Mathematics

2 answers:

xenn [34]3 years ago

6 0

Answer: The blue car gets 26 2/3 mpg

The silver car gets 34 mpg

The silver car can travel farther on one gallon of gas. By about 7 1/3 miles.

Step-by-step explanation:

Divide miles by amount of gas.

Blue: 35 1/2 ÷ 1 1/2 = mpg

71/2 ÷ 3/2 => 71/2 × 2/3= 71/3

Simplify 26 2/3 mpg

Silver: 27 1/5 ÷ 4/5 =>136/5 × 5/4

136/4 Simplified = 34 mpg

eimsori [14]3 years ago

4 0

The small car gets better gas mileage

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Find parametric equations for the path of a particle that moves along the circle x2 + (y − 3)2 = 16 in the manner described. (en

sveticcg [70]

Answer:

$x(t) = 4 cos(-t)\\y(t) = 4 sin(-t) + 3\\$

and t ∈ [0,2π]

Step-by-step explanation:

The standard equation for circle is:

$(x-h) ^2 + (y-k)^2 = r^2$

Comparing our equation with standard

$x^2 + (y-3)^2 =16$

h= 0,

k= 3

r= 4 (as in standard r², so r =√ r²)

Required:

Parametric equations of the circle

Formula:

$x = r cos(t) + h\\y= r cos(t) +k$

Putting values of r and h and k we get

$x= 4 cos(t) + 0 \\x= 4 cost(t) \\y= 4 sin(t) + 3$

As we need to start the object at (4,3)

x(0) = 4 and y(0) = 3

and the period is 2π

As the rotation is starting clock wise we will invert the value of t i.e -t

$x(t) = 4 cos(-t)\\y(t) = 4 sin(-t) + 3\\$

and t ∈ [0,2π]

5 0

3 years ago

What is the value of a3 in the sequence?<br> 5, 10, 20, 40, 80...

laiz [17]

I can’t see a3 do you have a picture

4 0

3 years ago

Mopeds (small motorcycles with an engine capacity below 50 cm3) are very popular in Europe because of their mobility, ease of op

Mashcka [7]

Answer:

a) P(X<50)=0.9827

b) P(X>47)=0.4321

c) P(-1.5<z<1.5)=0.8664

Step-by-step explanation:

We will calculate the probability based on a random sample of one moped out of the population, normally distributed with mean 46.7 and standard deviation 1.75.

a) This means we have to calculate P(x<50).

We will calculate the z-score and then calculate the probability accordign to the standard normal distribution:

$z=\dfrac{X-\mu}{\sigma}=\dfrac{50-46.7}{1.75}=\dfrac{3.7}{1.75}=2.114\\\\\\P(X$

b) We have to calculatee P(x>47).

We will calculate the z-score and then calculate the probability accordign to the standard normal distribution:

$z=\dfrac{X-\mu}{\sigma}=\dfrac{47-46.7}{1.75}=\dfrac{0.3}{1.75}=0.171\\\\\\P(X>47)=P(z>0.171)=0.4321$

c) If the value differs 1.5 standard deviations from the mean value, we have a z-score of z=1.5

$z=\dfrac{(\mu+1.5\sigma)-\mu}{\sigma}=\dfrac{1.5\sigma}{\sigma}=1.5$

So the probability that maximum speed differs from the mean value by at most 1.5 standard deviations is P(-1.5<z<1.5):

$P(-1.5$

3 0

4 years ago

Solve the quadratic equation by completing the square. x^2+6x-6=0 First, choose the appropriate form and fill in the blanks with

vova2212 [387]

$x^{2} +6x - 6=0 
$
$x^{2} +6x =6$ ⁽ $\frac{6}{2}^{2}$ ⁾
$x^{2}+6x+9 =15$ $(3)^{2} [tex] \sqrt{(x-3)^{2} } = \sqrt{15}$
$x-3 = \frac{+}{-} 3.872983346$
$x= 3 \frac{+}{-} 3.872983346$
$x= 6.872983346$ or $x= -.872983346$

6 0

3 years ago

Manufacturers are testing a die to make sure that it is fair (has a uniform distribution). They roll the die 66 times and record

steposvetlana [31]

Answer:

We should reject H0

At the 5% significance level, there is sufficient evidence to conclude that the die is not fair.

Step-by-step explanation:

Null hypothesis is a statement that is to be tested against the alternative hypothesis and then decision is taken whether to accept or reject the null hypothesis. The critical value is 15.091 and test statistic is 11.070. The null hypothesis is rejected or accepted on the basis of level of significance. When the p-value Test statistics is greater than level of significance we fail to reject the null hypothesis and null hypothesis is then accepted. In the given case p-value is less than critical value then we should reject the null hypothesis.

6 0

3 years ago

Help me please, due soon​

Help me please, due soon