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3 years ago

Find the missing value given (-1,7)(-3,d) m= 6 HELP ASAP WILL MAKE BRAINLEST

Mathematics

1 answer:

-Dominant- [34]3 years ago

6 0

Answer:

d= -5

Step-by-step explanation:

The slope of a line is found by finding the ratio of change is y values to change is x values

$m=y_2-y_1/x_2-x_1$

The points on the line have coordinates at: (-1,7) (-3,d)

where ;

$y_2=d, y_1=7,x_2=-3,x_1=-1,m=6$

Applying the formula with values as;

$6=\frac{d-7}{-3--1} \\\\6=\frac{d-7}{-3+1} \\\\6=\frac{d-7}{-2} \\\\6*-2=d-7\\\\-12=d-7\\\\-12+7=d\\\\-5=d$

The value of d = -5

The coordinates of the points (-1,7) (-3,-5)

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Find (a) the range and (b) the standard deviation of the data set 40,35.45,55,60. Round to the nearest hundredth if necessary.

zmey [24]

Answer:

(a) 25

(b) 9.27

Step-by-step explanation:

Step 1

We have to rearrange the given days set from least to highest

35, 40, 45, 55, 60

(a) the range

Range = The highest number - The least number

= 60 - 35

= 25

(b) the standard deviation of the data set

35, 40, 45, 55, 60.

We find the Mean

Mean = Sum of values/Number of values

= 35+40+45+55+60/5

= 235/5

= 47

We can find the standard deviation now.

The formula =

√(x - Mean)²/n

= √(35 - 47)²+ (40 + 47)² + (45 - 47)² + (55 - 47)² + (60 - 47)²/5

= √144 + 49 + 4 + 64 +169/5

= √430/5

= √86

= 9.273618495

Approximately = 9.27

5 0

2 years ago

You are helping to plan an awards banquet for your school, and you need to rent tables to seat 180 people. Tables come in two si

pshichka [43]

Answer:

An equation modeling the situation is : 4 m + 6 n = 180

Step-by-step explanation:

Here, the total number of guests in the banquet hall = 180

Let us assume number of tables ordered with capacity of

4 people each = m

And number of tables ordered with capacity of 6 people each = n

So, total number of people in m tables = m x ( Capacity of 1 table)

= m x (4) = 4 m

And, total number of people in n tables = n x ( Capacity of 1 table)

= n x (6) = 6 n

So, the total capacity of ( m + n) tables = 4 m + 6 n

Also, the total required capacity = 180

⇒ 4 m + 6 n = 180

Hence, an equation modeling the situation is : 4 m + 6 n = 180

3 0

3 years ago

An explosion causes debris to rise vertically with an initial speed of 120 feet per second. The formula h equals negative 16 t s

Novay_Z [31]

Answer:

The debris will be at a height of 56 ft when time is 0.5 s and 7 s.

Step-by-step explanation:

Given:

Initial speed of debris is, $s=120\ ft/s$

The height 'h' of the debris above the ground is given as:

$h(t)=-16t^2+120t$

As per question, $h(t)=56\ ft$ . Therefore,

$56=-16t^2+120t$

Rewriting the above equation into a standard quadratic equation and solving for 't', we get:

$-16t^2+120t-56=0\\\textrm{Dividing by -8 throughout, we get}\\\frac{-16}{-8}t^2+\frac{120}{-8}t-\frac{56}{-8}=0\\2t^2-15t+7=0$

Using quadratic formula to solve for 't', we get:

$t=\frac{-b\pm \sqrt{b^2-4ac}}{2a}\\\\t=\frac{-(-15)\pm \sqrt{(-15)^2-4(2)(7)}}{2(2)}\\\\t=\frac{15\pm \sqrt{225-56}}{4}\\\\t=\frac{15\pm\sqrt{169}}{4}\\\\t=\frac{15\pm 13}{4}\\\\t=\frac{15-13}{4}\ or\ t=\frac{15+13}{4}\\\\t=\frac{2}{4}\ or\ t=\frac{28}{4}\\\\t=0.5\ s\ or\ t=7\ s$

Therefore, the debris will reach a height of 56 ft twice.

When time $t=0.5\ s$ during the upward journey, the debris is at height of 56 ft.

Again after reaching maximum height, the debris falls back and at $t=7\ s$ , the height is 56 ft.

5 0

3 years ago

I need help pls is only 1 question

Yanka [14]

Answer:

$T = 1300$

Step-by-step explanation:

Given

$Radius, r = 9\ in$

$Height, h = 14\ in$

See attachment

Required

Determine the total surface area, T

T is calculated using:

$T = 2\pi r(r + h)$

Substitute values for r and h

$T = 2\pi * 9(9 + 14)$

$T = 2\pi * 9(23)$

Remove bracket

$T = 2\pi * 9*23$

$T = 2\pi * 207$

Take $\pi = 3.14$

So, we have:

$T = 2 * 3.14 * 207$

$T = 1299.96$

$T = 1300$ --- approximated.

Hence, the surface area is 1300 square inch

4 0

2 years ago

Comparing Standard Deviations

inessss [21]

Explanation:

There may be a couple of reasons for this:

1. Each team represents a sample of the players in the league. The averages of (random) samples can be expected to have a standard deviation that is smaller than the population standard deviation by a factor related to sample size.

2. A team average will result from the players who are played the most. Each team can be expected to field players more often whose averages are among the highest. The standard deviation of a set of the top tier of players will necessarily be smaller than the standard deviation of the set of all players.

8 0

3 years ago