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3 years ago

15

In a newspaper, it was reported that yearly robberies in Springfield were up 50% to 351 in 2013 from 2012. How many robberies we

re there in Springfield in 2012?

1 answer:

navik [9.2K]3 years ago

8 0

Answer:

Answer: There were 140 robberies in Springfield in 2012

Step-by-step explanation:

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It cost $5.25 for a bottle of 150 vitamins. if the cost varies directly with the number of vitamins in the bottle, what should a

lianna [129]

Answer: $8.75 for 250 vitamins.

Step-by-step explanation:

To find how much each vitamin costs we can divide $5.25 by 150.

5.25/150 = 0.035. So each vitamin is equal to $0.035.

We can then multiply the cost of 1 vitamin by 250.

0.035 x 250 = 8.75 or $8.75.

We can also make an equation for this problem. Let the total cost be equal to y and each vitamin equal to x.

y = 0.035x

So the equation above states that the total cost, y, is the amount of vitamins that are bought.

5 0

2 years ago

Read 2 more answers

A blimp is 1600 meters high in the air and measures the angles of depression to two stadiums to the east of the blimp. if those

Sonja [21]

The two stadiums are 2,871 meters

A blimp = point A

stadium 1 = point B

stadium 2 = point C

height of the blimp , AD = 1600

depression angle of stadium 1 , ∠y = 71.7°

depression angle of stadium 2 , ∠x = 25.2°

distance between the two stadiums = d

So, it forms 2 triangles ABD and ACD,

Using the trigonometric ratios,

tan θ = Altitude / Base

DC = AD × tan (90° - x)

= 1600 × tan( 90° - 25.2° )

= 1600 × cot(25.2°)

= 1600 × 2.13

DB = AD × tan (90° - y)

= 1600 × tan( 90° - 71.7° )

= 1600 × cot(71.7°)

= 1600 × 0.33

∴ d = DC - DB

= 1600 * [ tan( 90° - 25.2° ) - tan( 90° - 71.7° ) ]

= 2,871 meters

To learn more about angle of depression from the given link

brainly.com/question/9723082

#SPJ4

5 0

2 years ago

Consider the following hypothesis test: H 0: 20 H a: < 20 A sample of 50 provided a sample mean of 19.4. The population stand

goblinko [34]

Answer: p-value is 0.016.

Step-by-step explanation:

Since we have given that

$H_0:\mu=20\\\\H_a:\mu$

Sample mean = 19.4

Sample size n = 50

Standard deviation = 2

We need to find the test statistic value which is given by

$z=\dfrac{\bar{x}-\mu}{\dfrac{\sigma}{\sqrt{n}}}\\\\\\z=\dfrac{19.4-20}{\dfrac{2}{\sqrt{50}}}\\\\\\z=\dfrac{-0.6}{0.28}\\\\z=-2.14$

p-value is given by

$P(Z>Z_{critical})\\\\=P(Z>-2.14)\\\\=0.016$

Hence, p-value is 0.016.

8 0

3 years ago

Tim and Tom are painters. Tim and Tom use a liters of paint on a large shipping crate. If the next crate they need to paint is s

antiseptic1488 [7]

This is the concept algebra.
Volume of of paint that is required to paint large shipping crate is a liters.
suppose the volume of this crate is x cubic units.
The volume of the next crate to be painted will be 2x cubic units.
Hence the amount of paint required to paint the crate will be:
(volume of bigger crate)/(volume of smaller crate)×(volume of liters required to paint the first crate)
=(2x)/(x)×a
=2a liters
To paint the new crate 2a liters of oil is needed.

5 0

3 years ago

Question 17 of 25

Brilliant_brown [7]

Answer:

c

Step-by-step explanation:

y = $\frac{5}{2}$ x + 2 → (1)

2y = 5x + 4 ( divide through by 2 )

y = $\frac{5}{2}$ x + 2 → (2)

the 2 equations are the same and will have infinitely many solutions

3 0

2 years ago