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Vsevolod [243]
3 years ago
7

On a standardized exam, the scores are normally distributed with a mean of 300 land a standard deviation of 20. Find the z-score

of a person who scored 322 on the exam.
Mathematics
1 answer:
Liula [17]3 years ago
6 0

Answer:

82?

Step-by-step explanation:

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Solve the following using the model provided <br>2.1÷3=​
viva [34]
2.1 divided by 3 is 0.7 if that’s what your looking for
7 0
2 years ago
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A school cotains 357 boys and 323 girls if a student is chosen at random, what is the probability that it is a girl
solong [7]

Answer:

P(G)=0.475

Step-by-step explanation:

From the question we are told that:

Number of boysN_b=357

Number of girls N_g=323

Total Number of students

N_t=N_b+N_g

N_t=680

Generally the equation for Probability of Choosing a Girl is mathematically given by

P(G)=\frac{N_g}{N_t}

P(G)=\frac{323}{680}

P(G)=0.475

3 0
2 years ago
Jane works at a jewelry store and receives a 35% commission for everything she sells. Her sales this week were $5,500. How much
tresset_1 [31]

Step-by-step explanation:

5500×35=192500

/100=1925 $

6 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
A boat's value over time is given as the function f(x) and graphed below. Use A(x) = 400(b)x + 0 as the parent function. Which g
ser-zykov [4K]

Answer:

Please see attached graph

Step-by-step explanation:

We know that the equation tht represents the boats avlue is given by

A(x) = 400(b)^x + 0 = 400(b)^x

A(x) = 400(b)^x

An increment in the rate of 25% a yeard is given by

b = 1.25

A(x) = 400(1.25)^x

Which graph can be seen below

3 0
3 years ago
Read 2 more answers
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