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horsena [70]
3 years ago
6

Determine the area under the standard normal curve that lies to the left of ​(a) upper z equals 0.02 comma ​(b) upper z equals n

egative 0.19​, ​(c) upper z equals negative 0.38​, and ​(d) upper z equals negative 1.74

Mathematics
1 answer:
Anuta_ua [19.1K]3 years ago
3 0
A) 0.50798
b) 0.42465
c) 0.35197
d) 0.040930

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If y varies directly as the square of x and y = 12 when x = 2 find the value of x when y = 108
dolphi86 [110]
108/12 = 9 so when y = 108 x = 9×2 which = 18 so when y =108 x = 18
8 0
3 years ago
Patrick built a robot that is 0.8 meters tall. Adelaide built a robot that is 2 feet and 9 inches tall. Who has the taller robot
Ugo [173]

Answer:

Adelaide's robot is 83.82 centemetres = 0.84 meters

Step-by-step explanation:

2 feet = 60.96cm + 9 inches = 22.86cm therefore Adelaide's robot is taller

3 0
3 years ago
Bacteria vary somewhat in size, but a diameter of 1.5 μ m is not unusual.
Dmitrij [34]

Answer:

a) 1.8 × 10^-12 cm³ or 1.8 × 10^-12 cubic meters

b) 7.1 × 10^-6 mm² or 7.1 × 10^-6 square millimeters

Step-by-step explanation:

a) We are assuming that the shape of the bacteria is a sphere.

Hence, Volume of the Sphere(Bacteria) = 4/3 × π × r³

Diameter = 1.5 μm

Radius = Diameter/2 = 1.5μm/2

= 0.75μm

We are told that the volume should be in cubic centimeters

Converting 0.75μm to centimeters

1 μm = 1 × 10^-4 cm

0.75 μm =

Cross Multiply

= 0.75 μm × 1 × 10^-4 cm/ 1 μm

= 0.000075cm

Volume of the Sphere(Bacteria) = 4/3 × π × r³

= 4/3 × π × (0.000075)³

= 1.767145867 × 10^-12 cm³

Approximately as 2 significant figures = 1.8 × 10^-12 cm³

b) The formula for the Surface area of a Sphere = 4πr²

Diameter = 1.5 μm

Radius = Diameter/2 = 1.5μm/2

= 0.75μm

We are told that the surface area should be in square millimeters

Converting 0.75μm to millimeters

1 μm = 0.001 mm

0.75 μm =

Cross Multiply

= 0.75 μm ×0.001mm/ 1 μm

= 0.00075mm

Surface Area of a Sphere

= 4 × π × r²

= 4 × π × 0.00075²

= 7.06858 ×10^-6 mm²

Approximately to 2 significant figures

= 7.1 × 10^-6 mm²

6 0
3 years ago
6 + (1 + 9) = 16, so<br> (6 + _) + 9 = '16
horsena [70]

Answer:

1

Step-by-step explanation:

Adding the same positive numbers will always give you the same answers, right here all your doing is switching the 9 and the 1 ... so 1

3 0
3 years ago
Read 2 more answers
Simplify each algebraic expression by combing like terms 7x^2-5x+10x-8x^2
castortr0y [4]

Answer: -x^2 + 15x

Step-by-step explanation:

8 0
3 years ago
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