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artcher [175]
2 years ago
14

Many families in California are using backyard structures for home offices, art studios, and hobby areas as well as for addition

al storage. Suppose that the mean price for a customized wooden, shingled backyard structure is $3,200. Assume that the standard deviation is $1,200. (a) What is the z-score for a backyard structure costing $2,300
Mathematics
1 answer:
Natalija [7]2 years ago
7 0

Answer:

-0.75

Step-by-step explanation:

To get the z score we have to use this formula

Z = X-mean/standard deviation

X = 2300

Mean = 3200

The standard deviation = 1200

When we plug these values into the z formula above, we have:

2300-3200/1200

= -900/1200

= -0.75

the z-score for a backyard structure costing $2,300 is therefore -0.75

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A guy wire supports an antenna tower, as shown at the right. The bottom of the wire is secured in the ground 30 feet from the ba
babunello [35]

Answer:

The wire is approximately 42feet long

Step-by-step explanation:

We can mentally sketch out the shape that is formed between the guy wire and the antenna tower. This is simply a right-angled triangle with the opposite side being the height of the antenna (30 feet). The adjacent side is the distance on the ground between the point where the wire was fastened and the base of the antenna.

The hypotenuse side is the length of the wire we are looking for.

Parameters are given as:

Opposite : 30ft

Adjacent: 30ft

Hypotenuse: x feet

The hypotenuse = \sqrt{opp^2 + adj^2}

Hypotenuse =\sqrt{30^2+ 30^2} \approx 42ft

5 0
3 years ago
If the test is worth 50 and you score 84% how many questions did you get wrong? Write the proportion?
quester [9]
You got 8 questions wrong.

10% of 50 is 5.
 x8               x8
________________
80% of 50 is 40.
84% of 50 is 42.


50-42= 8 questions wrong.




8 0
3 years ago
Read 2 more answers
A woman walks due west on the deck of a ship at 3 mi/h. The ship is moving north at a speed of 22 mi/h. Find the speed and direc
Minchanka [31]

Answer: The speed is 22.2 mi/hr and woman is 8° north relative to the surface of the water.

Step-by-step explanation:

Since we have given that

Speed at which woman walks due west = 3 mi/hr

Speed at which ship moving due north = 22 mi/hr

Now it forms "Pythagorus theorem":

So, it becomes,

H^2=B^2+P^2\\\\H^2=3^2+22^2\\\\H^2=9+484\\\\H^2=493\\\\H=\sqrt{493}\\H=22.20\ mi/hr

And the direction of the woman relative to the surface of the water is given by

\theta=\sin^{-1}x(\dfrac{3}{22.2})=7.76\approx 8^\circ

Hence, the speed is 22.2 mi/hr and woman is 8° north relative to the surface of the water.

5 0
3 years ago
HELP LAST ATTEMPT to ( get marked brainliest show work !
aleksley [76]

▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪

As we know,

Area of parallelogram :

  • base \times height

  • 32.6 = 10.5 \times h

  • h =  \dfrac{32.6}{10.5}

  • h = 3.1047

  • h \approx3.1 \:  \: m
6 0
2 years ago
A line passes through the points (-1, -6) and (-4, 3). What is the equation of this line in slope-intercept form?
iVinArrow [24]

Answer:

A

Step-by-step explanation:

Slope = (3+6)/(-4+1)

          = 9/-3

          = -3

Y=mx+b

-6= -3×-1 +b

-6 = 3 +b

b = -9

6 0
3 years ago
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