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nalin [4]
2 years ago
4

Jamie just bought two boxes. The first box is square, with each side measuring 10 units, and is 4 units high. The second box is

rectangular and has twice the volume of the square box. If the height of the second box is 5 units, and the width is 10 units, what is the length of the second box?
Mathematics
1 answer:
andrew11 [14]2 years ago
3 0

Answer:

1.6 units

Step-by-step explanation:

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If the shape of our data set is multimodal, we expect:
scoray [572]

Answer: (D) none of the these.

Step-by-step explanation:

  • A multimodal distribution refers to a distribution with two or more modes.

If the shape of our data set is multimodal, the it will show two or more peaks which represents the number modes in the data.

Since it has no relation with mean or median of the data, there for the correct option will be "none of these".

3 0
2 years ago
Find the inverse of the function. y = 2x2 –4
Alex73 [517]

Answer:

The inverse function is y=\sqrt{\frac{x+4}{2}}


Step-by-step explanation:

The given function is y=2x^2-4.


This function is only invertible on the interval, x\ge 0.


To find the inverse on this interval, we interchange x and y.

x=2y^2-4


We now make y the subject to get,


x+4=2y^2


\Rightarrow \frac{x+4}{2}=y^2


\Rightarrow \pm \sqrt{\frac{x+4}{2}}=y


But the given interval is x\geq 0, This implies that, y\geq 0.


y=\sqrt{\frac{x+4}{2}}


4 0
2 years ago
Read 2 more answers
A salesperson receives step commission on sales calculated as follows:
kykrilka [37]

Answer:

$2278.846

Step-by-step explanation:

Given the following commision steps :

8% on first $1000;

12% next $2000;

20% on sales above $3000

Recorded sales for a week :

Monday $1500.00

Tuesday $3000.00

Wednesday $ 970.00

Thursday $4563.81

Friday $2760.42

This assu es that commision is calculated after weekly sales:

Total:

(1500 + 3000 + 970 + 4563.81 + 2760.42)

= $12794.23

8% on first $1000

0.08 × $1000 = $80

12% of $2000 = $240

20% of $(12794.23 - 3000)

= 0.2 × 9794.23

= 1958.846

Total commision for the week :

$(80 + 240 + 1958.846)

= $2278.846

7 0
2 years ago
Juan runs a company that makes pens. He notices that 1 out of every 9 pens are faulty. He uses a standard deck of cards to model
sergey [27]

Question:

Isabella pitches for her high school softball team. Of the 7 pitches she throws, 5 are strikes. She uses a standard deck of cards to model her pitches, with hearts, clubs, and spades representing strikes. Which statement about her model is true?

Answer:

B. Her model can be improved the most by removing the queens and kings of hearts, clubs, and spades.

Explanation:

I took the test and passed.

6 0
2 years ago
Read 2 more answers
A County Superintendent of Highways is interested in the numbers of different types of vehicles that regularly travel within his
Karolina [17]

Answer:

a) The ratio of passenger cars to pickup trucks is \frac{5}{7}

The ratio of pickup trucks to passenger cars is \frac{7}{5}

The ratio of passenger cars to total vehicles is \frac{5}{12}

The ratio of pickup trucks to total vehicles is \frac{7}{12}

b) The tape diagram is shown in the attached picture.

c) The tape diagram has 12 equal-sized parts.

d) The total quantity that the tape diagram represent is 192.

e) The value of each individual part of the tape is 16.

f) There were registered 80 passenger cars and 112 pickup trucks.

Step-by-step explanation:

a) According to the information in the problem, that for every 5 passenger cars registered, there were 7 pickup trucks registered.

So the ratios are:

Passenger cars to pickup trucks: \frac{5}{7}

Pickup trucks to passenger cars: \frac{7}{5}

If we calculate the total vehicles: 5+7=12

So, we can get two ratios more:

Passenger cars to total vehicles is \frac{5}{12}

Pickup trucks to total vehicles is \frac{7}{12}

b) We make a tape diagram where each box represents a vehicle so we draw 5 boxes for cars and 7 boxes for pickup trucks.

c) If we count the total quantity of boxes, there are 12.

d) This diagram represents the total quantity of registrations in August which is 192.

e) To get the representation of each part of the tape diagram we have to divide 192 by 12. 192÷12=16

f) Finally, we multiply 16 by the number of boxes of each type of vehicle:

Cars: 16×5=80

Pickup trucks: 16×7=112

6 0
2 years ago
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