All categories

2 years ago

Suppose a normal distribution has a mean of 50 and a standard deviation of 3. What is P(x≤53)?

Mathematics

1 answer:

Vera_Pavlovna [14]2 years ago

5 0

Answer:

Step-by-step explanation:

Use the formula to find the z-score, then go to the table that will give you the probability that the value is less than this z-score.

$z=\frac{53-50}{3}=1$

The probability that the value lies to the left of 1 on a standard bell curve is 84.1345%, or 84%, the third choice down.

You might be interested in

1) Are the following lines parallel, perpendicular, or neither?

Maru [420]

In 1)

Line 1 has following coordinates.
(0,0) ; (1,-2) ; (2,-4)

Line 2 has following coordinates.
(0,0) ; (1,0.5) ; (2,1)

Line 3 has following coordinates.
(0,1) ; (1,1.5) ; (2,2)

If you'll draw the lines, you'll observe that Line 1 is perpendicular to Line 2 and Line 3 and Line 2 and Line 3 are parallel to each other.

So,
Option D will be correct.

5 0

3 years ago

21. Carrie withdraws $10 from her account each day for 7 days.

Fiesta28 [93]

Answer:

a.70. b.50

Step-by-step explanation:

If Cartie takes $10 from her account for 7 days she would have taken $70 out.

$7 \times 10 = 70$

Next we look at the net problem it is asking us how much is left we already know from the equation above that we need to subtract 70 from 120
$70 - 120 = 50$
We now have both answers A. being that she would have taken $70 in total out of her account and B. being that she would have $50 left in her account.

3 0

3 years ago

Simplify twelve and one fourth

joja [24]

Answer:49/4

Step-by-step explanation:

Improper fraction

7 0

2 years ago

Consider the following functions.G(x) = 4x2; f(x) = 8x(a)

noname [10]

Answer:

(a) B. G(x) is an antiderivative of f(x) because G'(x) = f(x) for all x.

(b) Every function of the form $4x^2+C$ is an antiderivative of 8x

Step-by-step explanation:

A function F is an antiderivative of the function f if

$F'(x)=f(x)$

for all x in the domain of f.

(a) If $f(x) = 8x$ , then $G(x)=4x^2$ is an antiderivative of f because

$G'(x)=8x=f(x)$

Therefore, G(x) is an antiderivative of f(x) because G'(x) = f(x) for all x.

Let F be an antiderivative of f. Then, for each constant C, the function F(x) + C is also an antiderivative of f.

(b) Because

$\frac{d}{dx}(4x^2)=8x$

then $G(x)=4x^2$ is an antiderivative of $f(x) = 8x$ . Therefore, every antiderivative of 8x is of the form $4x^2+C$ for some constant C, and every function of the form $4x^2+C$ is an antiderivative of 8x.

8 0

3 years ago

On a certain hot summer's day, 225 people used the public swimming pool. The daily prices are $1.75 for children and $2.00 for

NikAS [45]

Answer:

Step-by-step explanation:

Let us represent:

Number of children = x = 59

Number of Adults = y = 166

On a certain hot summer's day, 225 people used the public swimming pool.

x + y = 225

x = 225 - y

The daily prices are $1.75 for children and $2.00 for adults. The receipts for admission totaled $435.25.

$1.75 × x + $2.00 × y = $435.25

1.75x + 2y = 435.25

We substitute 225 - y for x

Hence:

1.75(225 - y ) + 2y = 435.25

393.75 - 1.75y + 2y = 435.25

Collect like terms

-1.75y + 2y = 435.25 - 393.75

0.25y = 41.5

y = 41.5/0.25

y = 166 Adults

Note that:

x = 225 - y

x = 225 - 166

x = 59 children

Hence, the number of children is 59 and the number of Adults is 166

3 0

2 years ago