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3 years ago

The table shows the number of touchdowns Luis scored during his football games.

Mathematics

1 answer:

Wittaler [7]3 years ago

5 0

We are given frequency distribution in the question

to find the probability distribution from frequency distribution we need to divide frequency by total number of observations.

Here, total number of observations are 6+10+7+5=28

so , we will have probability distribution table as

X 0 1 2 3

P(x) .21 .35 .25 .17

probability distributiuon describes all possible values that a random variable can take within a given range.

frequency distribution is the presentation that presents number of observation in given interval.

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During a manufacturing process, a metal part in a machine is exposed to varying temperature conditions. The manufacturer of the

mars1129 [50]

Answer:

Yes, it will reach or exceed 141 degree F

Step-by-step explanation:

Given equation that shows the temperature T in degrees Fahrenheit x minutes after the machine is put into operation is,

$T = 0.005x^2 + 0.45x + 125$

Suppose T = 141°F,

$\implies 141 = 0.005x^2 + 0.45x + 125$

$\implies 0.005x^2 + 0.45x + 125 - 141 =0$

$\implies 0.005x^2 + 0.45x - 16=0$

Since, a quadratic equation $ax^2 + bx + c =0$ has,

Real roots,

If Discriminant, $D = b^2 - 4ac \geq 0$

Imaginary roots,

If D < 0,

Since, $0.45^2 - 4\times 0.005\times -16 = 0.2025 + 32 > 0$

Thus, roots of -0.005x² + 0.45x + 125 are real.

Hence, the temperature can reach or exceed 141 degree F.

6 0

3 years ago

Ryan needs to drive 25 miles to work. So far, he has driven 4.2 miles. How many more miles must he drive?

maksim [4K]

${\underline{\orange{\textsf{\textbf{ Answer : }}}}}$

➡ He must drive 20.8 miles now.

4 0

2 years ago

Read 2 more answers

On a certain hot summer's day, 477 people used the public swimming pool. The daily prices are 1.50 for children and 2.25 for ad

Akimi4 [234]

Answer:

212 children, and 265 adults

Step-by-step explanation:

To find the number of children and adults, we can set up a systems of equations.

x= number of children

y= number of adults

Equation 1: Price

1.50x+2.25y=914.25

Equation 2: Total number of people

x+y=477

Now, let's solve the equation using substitution.

Rearrange the second equation to solve for one variable.

x+y=477

x=477-y

Now plug x equals into the first equation, and solve for y.

1.50x+2.25y=914.25

1.50(477-y)+2.25y=914.25

715.5-1.50y+2.25y=914.25

715.5+0.75y=914.25

0.75y=198.75

y=265

We just solved for the number of adults. Now let's plug y equals into the second equation to find the number of children.

x+y=477

x+265=477

x=212

7 0

2 years ago

Does anyone know how to solve this?

Oksi-84 [34.3K]

Answer: Okay so do 3x7.5 then 3x11.5 then 7.5x11.5 then add it up and you should get 143.25

3 0

1 year ago

Hi can someone please help me with my math work im very behind

Ipatiy [6.2K]

The volume of soup in the cylindrical can is 100.48 inches cube.

<h3>How to find the volume of a cylindrical can?</h3>

We have to find the volume of the soup in a cylindrical can of height 8 inches and 4 inches across the lid.

The volume of the soup is the volume of the cylindrical can.

Therefore,

volume of the cylindrical can = πr²h

where

r = radius of the cylinder
h = height of the cylinder

Therefore,

h = 8 inches

r = 4 / 2 = 2 inches

volume of the soup in the cylindrical can = πr²h

volume of the soup in the cylindrical can = π × 2² × 8

volume of the soup in the cylindrical can = π × 4 × 8

volume of the soup in the cylindrical can = 32π

Therefore,

volume of the soup in the cylindrical can = 32 × 3.14

volume of the soup in the cylindrical can = 100.48 inches³

learn more on volume here:brainly.com/question/23207959

#SPJ1

5 0

1 year ago