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olganol [36]
2 years ago
7

Solve this question...6

Mathematics
1 answer:
Hitman42 [59]2 years ago
4 0

Answer:

Step-by-step explanation:

1 tyres time to install is 56/4=14

which means it takes 14 minutes to install one tire.

so 12 tires would be 12 x 14 which is 168 minutes

A) 168 minutes

1 tire = 14 min

42 min/14 min=3

B) 3 tires

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Amelia drives 10 miles in 20 minutes. If she drove three hours in total at the same rate, how far did she go? subquestion - how
olga nikolaevna [1]

Answer:

Amelia drove 90 miles in 3 hours.

Step-by-step explanation:

she drove 10 miles in 20 minutes

we multiply this by 3, and get

30 miles in an hour ( 60 minutes)

then we multiply this by 3 and get

90 miles in 4 hours (180 minutes) :)

5 0
3 years ago
The speeds of vehicles traveling on a highway are normally distributed with an unkown population mean and standard deviation. A
Maksim231197 [3]

Answer:

The 90% confidence interval would be given by (60.09;69.91)    

We are 90% confident that the true mean for the speeds of vehicles traveling on a highway is between 60.09 and 69.91 miles per hour.

Step-by-step explanation:

1) Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

\bar X =65 represent the sample mean for the sample  

\mu population mean (variable of interest)

s=9 represent the sample standard deviation

n=11 represent the sample size  

2) Confidence interval

The confidence interval for the mean is given by the following formula:

\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}   (1)

In order to calculate the critical value t_{\alpha/2} we need to find first the degrees of freedom, given by:

df=n-1=11-1=10

Since the Confidence is 0.90 or 90%, the value of \alpha=0.1 and \alpha/2 =0.05, and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-T.INV(0.05,10)".And we see that t_{\alpha/2}=1.81

Now we have everything in order to replace into formula (1):

65-1.81\frac{9}{\sqrt{11}}=60.09    

65+1.81\frac{9}{\sqrt{11}}=69.91

So on this case the 90% confidence interval would be given by (60.09;69.91)    

We are 90% confident that the true mean for the speeds of vehicles traveling on a highway is between 60.09 and 69.91 miles per hour.

3 0
3 years ago
Help me with this pls
EastWind [94]

Answer:

the diameter is 6 units

Step-by-step explanation:

3×2=6

8 0
2 years ago
Read 2 more answers
What is sixteen ninths minus five Ninths in a number bound
kvv77 [185]

Answer:

i dont know what a number bound is but

16*9 - 5*9 = 144 - 45 = 99

Hope this helped and brainliest please

3 0
3 years ago
Read 2 more answers
A triangle has an area of 64 square feet. If the height of the triangle is 8 feet more than its base, x, what are its height and
Nitella [24]

Answer:

8 feet

Step-by-step explanation:

Given data

Area= 64 square feet

Base= x feet

Height= x+8 feet

The expression for the area

A= 1/2b*h

substitute

64= 1/2*x*(x+8)

64= 1/2*x^2+8x

64= (x^2+8x)/2

cross multiply

64*2= x^2+8x

128= x^2+8x

rearrange

x^2+8x-128= 0

using the quadratic formula

a=1

b=8

c=-128

x= -b±√b^2-4ac/2a

x= -1±√8^2-4*1*-128/2*1

simplifying

x= 8

x=-16

Hence the height of the base is

h= 8 feet

7 0
2 years ago
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