What’s 50+60-70 tell me

Oshua's mother has a family Christmas gathering at 2:00. Joshua must travel 348 miles to join the festivities. He left his house

gavmur [86]

Answer:

58 miles/hour

Step-by-step explanation:

Given that the family Christmas gathering has been scheduled at 2:00 p.m.,

and Joshua left the house at 8:00 a.m.

So, the total time available in order to arrive on time to attend the Christmas gathering, t=6 hours

The total distance, Joshua has to travel, d= 348 miles.

As average speed= (total distance)/(total time)

So, the average speed of driving = 348/6=58 miles/hour

Hence, Joshua must drive at an average speed of 58 miles/hour in order to arrive on time.

7 0

3 years ago

Which statement describes the first step to solve the equation by completing the square?

BabaBlast [244]

Take 16x divide it by 2 and square it. 16/2= 8. 8^2= 64. So, the first step will be to add 64 to both sides.

8 0

3 years ago

A study of 40 English composition professors showed that they spent, on average, 13 minutes correcting a student's term paper. T

photoshop1234 [79]

Answer:

a)

90% confidence interval for the mean grading time of all composition papers.

(12.47981 , 13.52019)

b)

Appropriate inequality

The interval is ( 12.47981 < μ < 13.52019)

Step-by-step explanation:

<u><em>Explanation</em></u>:-

a)

Given sample size 'n' = 40

Mean of the sample = 13 minutes

standard deviation = 2 min

level of significance = 0.10 or 90%

90% confidence interval for the mean grading time of all composition papers.

$( x^{-} - Z_{0.1} \frac{S.D}{\sqrt{n} } , x^{-} + Z_{0.10} \frac{S.D}{\sqrt{n} } )$

$( 13 - 1.645 \frac{2}{\sqrt{40} } , 13 +1.645 \frac{2}{\sqrt{40} } )$

( 13 - 0.52019 , 13 + 0.52019)

(12.47981 , 13.52019)

b)

The interval is ( 12.47981 < μ < 13.52019)

7 0

3 years ago

Find equation of set of points pieces that its distance from the point 3, 4, -5 and -2, 1, 4 are equal.

Gnesinka [82]

Answer:

Step-by-step explanation:

Suppose we a point $P(x,y,z)$ such that its distance from either the point $A(3,4,-5)$ or $B(-2,1,4)$ is the same.

Using this information we can formula:

distance AP = distance BP

first, let's find the distance from AP, using the distance formula.

$r = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2 + (z_1 - z_2)^2}$

$AP = \sqrt{(3 - x_2)^2 + (4 - y_2)^2 + (-5 - z_2)^2}$

similarly, we can find the distance BP

$BP = \sqrt{(-2 - x_2)^2 + (1 - y_2)^2 + (4 - z_2)^2}$

since both distances are exactly the same we can equate them

$AP = BP$

$\sqrt{(3 - x_2)^2 + (4 - y_2)^2 + (-5 - z_2)^2} = \sqrt{(-2 - x_2)^2 + (1 - y_2)^2 + (4 - z_2)^2}$

we can simplify it a bit squaring both sides, and getting rid of the subscripts.

$(3 - x)^2 + (4 - y)^2 + (-5 - z)^2 = (-2 - x)^2 + (1 - y)^2 + (4 - z)^2$

what we have done here is formulated an equation which consists of any point P that will have the same distance from (3,4,-5) and (-2,1,4).

To put it more concretely,

This is the equation of the the plane from that consists of all points (P) from which the distance from both (3,4,-5) and (-2,1,4) are equal.

3 0

3 years ago

A club collected $3,472 to buy computers. If each computer cost $680, estimate the number of computers that the club can buy.exp

almond37 [142]

The club can buy 5 computers with $3472

Step-by-step explanation:

The number of computers which can be bought from the given amount will be calculated by dividing the amount by price of one computer.

Given

Total amount = $3472

Price of one computer =$680

The number of computers will be:

$=\frac{Total\ amount}{Price\ per\ computer}\\=\frac{3472}{680}\\=5.1\\$

As the number of an item cannot be in decimal it will be rounded off to 5.

The club can buy 5 computers with $3472

Keywords: Price per unit, pricing

Learn more about pricing at:

#LearnwithBrainly

8 0

3 years ago