7x+9-13x+4 simplified

Seven times a number n and 4

WARRIOR [948]

anything above 28

Step-by-step explanation:

Seven times 4 is 28, times any number is anything 28 and above

5 0

2 years ago

Read 2 more answers

How many ways can a dance instructor send 4 of her 11 students to a summer dance program?

Sedaia [141]

Answer:

d) 330

Step-by-step explanation:

The number of ways can a dance instructor send 4 of her 11 students to summer dance program is C(11 , 4)

That is $11_{C_{4} }$ ways

by using formula $n_{C_{r} } = \frac{n!}{(n-r)!r!}$

now simplification

$11_{C_{4} } = \frac{11!}{(11-4)!4!}$

= $\frac{11X10X9X8X7!}{(7!)4X3X2X1}$

after cancelling 7! and on simplification

= $\frac{11X10X9X8}{4X3X2X1}$

after cancellation we get 330 ways

The number of ways can a dance instructor send 4 of her 11 students to summer dance program is 330

8 0

2 years ago

A statistics practitioner in a large university is investigating the factors that affect salary of professors. He wondered if ev

uysha [10]

Complete Question

The complete question is shown on the first uploaded image

Answer:

The null hypothesis is $H_o : \beta_1 = 0$

The alternative hypothesis is $H_1 : \beta_1 \ne 1$

Step-by-step explanation:

From the question we are told that

The number observations is $n = 100$

The annual salary (in dollars) is y

The mean score on teaching evaluation is x

The the relationship between the y and x is

$y = \beta_0 + \beta _1 x + \epsilon$

Where $\beta _1$ is the mean of the equation so

The null hypothesis is $H_o : \beta_1 = 0$

The alternative hypothesis is $H_1 : \beta_1 \ne 1$

6 0

2 years ago

A typical television newscast has three cameras. The center camera directly faces the news anchors desk. The other two cameras a

Mnenie [13.5K]

<span>150 degrees. Let's assume the center camera is pointed to at an angle of 0 degrees. Since it has a coverage of 60 degrees, then it will cover the angles from -30 to +30 degrees. Now we'll continue to use the +/- 30 degree coverage for the other two cameras. The second camera is aimed at 45 degrees, so it's range of coverage is 15 degrees to 75 degrees (45 +/- 30). Notice that the range from 15 degrees to 30 degrees is covered by 2 cameras. Now the 3rd camera is pointed at -45 degrees, so its coverage is from -15 degrees to -75 degrees. It also has an overlap with the 1st camera from -15 to -30 degrees. The total coverage of all three cameras ranges from -75 degrees to 75 degrees. That means that an arc of 150 degrees in total is covered by all three cameras.</span>

7 0

2 years ago

What is the longest line segment that can be drawn in a right rectangular prism that is 14cm long, 13cm wide, and 11cm tall?

vlabodo [156]

The longest line segment that can be drawn in a right rectangular prism that is 14cm long, 13cm wide and 11cm tall is 19.1cm.

<h3>What is a right rectangular prism?</h3>

A right rectangular prism is a three dimensional solid shape formed by 6 rectangles.

it is also called the cuboid.

Analysis:

The diagonal of the face of the prism with dimensions 14cm long and 13cm wide is the longest line segment that can be drawn.

Since rectangles have 90° on each vertex, we can use Pythagoras theorem to calculate for the length of the diagonal.

$(diagonal)^{2}$ = $(length)^{2}$ + $(width)^{2}$