(a) Write down the gradient of the line with equation y = 7 - 4x The line L passes through the points with coordinates (- 3, 1) and (2, - 2)

Step-by-step explanation:

x-intercept => point (2, 0)

y-intercept => point (0, -4)

Answer:

The percentage of workers not wearing the helmets is 5.3 %.

Step-by-step explanation:

A safety committee randomly examined 900 construction workers during their work, and found that 48 workers were not wearing helmets. Estimate the percentage of workers who do not wear protective masks during their working time with 98% confidence

total workers = 900

Not wearing helmet = 48

Percentage which are not wearing the helmets

= [tex]\frac{48}{900}\times 100 = 5.3 %[/tex]%

Answer:

1) you're going to have to flip the coins (or fake numbers) for the experimental trials.

2) for the theoretical, there is 1/2 chance for heads or tails with each toss, so you'd expect that out of 10 tosses, 5 heads, 5 tails. out of 100 tosses- 50 heads, 50 tails.

When tossing 2 coins- 1/2×1/2 = 1/4 (25%) chance that 2 heads, 2 tails, or 1 heads & 1 tails. Deviation value comes from after you done your flipping and recorded your data. So if on 100 flips you actually got 50 and 50 (rarely us that exact ;), the deviation from the expected of 50/50 would be 0.00. If however you flipped 100 heads or 100 tails (impossible), then the deviation value would be 1.00.

|(100-50)| ÷ 50 = 50÷50 = 1.00

So usually you may have data like: 47/53 or something a little off than 50/50, making deviation |(47-50)| ÷ 50 = 3÷50 = 0.06.

Now the number of flips is important for the outcome! So if a coin toss if 10 times had 4 heads, 6 tails, the deviation value would be:

|(4-5)| ÷ 5 = 1÷5 = 0.20

So increasing the # flips DECREASES the deviation value!!

Whether it's from 10 to 100, or from 100 to 200. Look at my example of how the 10-flip deviation of 0.20 decreased to 0.06 with 100-flip

Answer: 25

Step-by-step explanation: you replace the letters with the numbers, so it would be:

4(8) - (7)

32-7

=25

Answer:

Option B

Step-by-step explanation:

Of those surveyed, 26 percent said free international trade helped the economy.

They claimed that trade liberalization and increase in investment in physical capital was the main reason behind the growth of the economy.

Hence, option B is correct

Answer:

f-g)(x)= | 7x + 1 | -6 Is correct

Step-by-step explanation:

Functions f(x) and g(x) are illustrations of composite functions.

The value of (f - g)(x) is |7x + 1| - 6

The functions are given as:

[tex]\mathbf{f(x) = |7x +1|- 8}[/tex]

[tex]\mathbf{g(x) = -2}[/tex]

The function (f - g)(x) is calculated using:

[tex]\mathbf{(f - g)(x) = f(x) - g(x)}[/tex]

So, we have:

[tex]\mathbf{(f - g)(x) = |7x + 1| - 8 - (-2)}[/tex]

Remove bracket

[tex]\mathbf{(f - g)(x) = |7x + 1| - 8 +2}[/tex]

Simplify

[tex]\mathbf{(f - g)(x) = |7x + 1| - 6}[/tex]

Hence, the value of (f - g)(x) is |7x + 1| - 6

Read more about composite functions at:

https://brainly.com/question/20379727

Answer:

m<MON = 82degrees

Step-by-step explanation:

According to the given question;

m<LON = m<LOM + m<MON

m<MON = m<LON - m<LOM

m<MON = 133 - 51

m<MON = 82degrees

Answer:

c

Step-by-step explanation:

because x=9

Aan angle in quadrant I, the value of sin[tex]\theta[/tex] is [tex]\rm Sin \theta=\dfrac{\sqrt{14} }{5}[/tex].

Sin theta is defined as the ratio of perpendicular and hypotenuse.

The given equation is;

[tex]\rm Cos\theta=\dfrac{\sqrt{11} }{5}[/tex]

The cos[tex]\theta[/tex] is given by;

[tex]\rm Cos\theta=\dfrac{Base}{hypotenuse}[/tex]

By applying Pythagoras theorem the value of base is;

[tex]\rm (5)^2=Perpendicular^2+ (\sqrt{11} )^2\\\\ Perpendicular^2= 25-11\\\\ Perpendicular^2=14\\\\ Perpendicular =\sqrt{14}[/tex]

The value of sin[tex]\theta[/tex] is;

[tex]\rm Sin \theta=\dfrac{Perpendicular}{Hypoteunse}\\\\Sin \theta=\dfrac{\sqrt{14} }{5}[/tex]

Hence, the value of sin[tex]\theta[/tex] is [tex]\rm Sin \theta=\dfrac{\sqrt{14} }{5}[/tex].

Learn more about trigonometry here;

https://brainly.com/question/26719838

#SPJ2

Answer:

D, 34.8 + b =54.6

[tex]perimeter = s + s + s \\ 54.6 = 3a + a + b \\ 54.6 = 4a + b \\ (4 \times 8.7) + b = 54.6 \\ 34.8 + b = 54.6[/tex]

Answer:

Right triangle is 3 by 4 by

square root of (3^2 + 4^2) = 5

perimeter = 3+4+5 = 12

Step-by-step explanation:

Answer:

Option A

Step-by-step explanation:

ok so firstly this is super duper easy! all you have to see first in these type of questions is the "sequence" or the "pattern". and you have to make a ittle equation with this, so the first picture has 1 square, secound one has 5, the third one has 9, and the fourth one has 13.

- so firstly see or find a specific sequence.

13 - 9 = 4

9 - 5 = 4

5 - 1 = 4

so we found out "4" is the main changing unit. Now lets make a short formula which will help us determine any number ahead of the picture.

so lets do 4x = number of squares, x= figure number

4(1) = 4 :: wrong, because the first figure has only one square

so, 4x - 3

4(1) - 3 = 1 :: correct! this euqation works!

Now, we need to find how many squared there are in figure 100, so ->

4(100) - 3 = 397 squares!

and now doing the question will be easier, because option A says 1 square in the centre and 99 sqaures on each side.

So-> 99 + 99 + 99 + 99 +1 = 397! boom!! got the answer!

Answer:

D

Step-by-step explanation:

Your answer is D trust me

Answer:

Heyy

Step-by-step explanation:

Answer:

number of A is correct answer

Answer:

x = 3

Step-by-step explanation:

Formula

CE * DE = AE * BE

Notice how the chords cut each other. Also notice how the segments are equated. See the givens.

Givens

CE = 3

DE = x + 11

AE =x+3

BE = 7

Solution

3*(x + 11) = 7(x + 3)               Remove the brackets

3x + 33 = 7x + 21                 Subtract 21 from both sides

3x + 33 - 21 = 7x                  Combine the left

3x + 12 =7x                          Subtract 3x from both sides

12 = 7x - 3x

12 = 4x                                Divide by 4

12/4 = 4x/4

x = 3

Answer:

D. 3- 1/3

Step-by-step explanation:

3-1/3 = 2 2/3 which is positive, thus being on the right side of the number line.

Hope this helps! :)

Answer:

A. {-3,0,3,4,5,6,7, 11}

Step-by-step explanation:

I'm prettybsure that A is the range because the range of numbers goes from -3 to 11

Answer:

122 squared cm

Step-by-step explanation:

[tex]6*12=72[/tex]

[tex]10*5=50[/tex]

[tex]72+50=122[/tex]

Hope this helps

Answer:

122 squared cm

Step-by-step explanation:

First we split the figure into 2

12 x 6

And,

10 x 5

12 x 6 = 72

and

10 x 5 = 50

Now we add 72 + 50 = 122

Answer:

x>7

Step-by-step explanation:

Answer:

(0,3)

Step-by-step explanation:

solve for 2y

-X-2y= -6

2y=6+2x

substitute the given value of 2y into the equation -x-2y=-6

-x-(6+3x)= -6

solve for x

x=0

substitute the given value of X into the equation 2y=6+3x

2y=6+3×0

solve for y

y=3

the solution is (0,3)

Answer:

The top right is 5,1

top left -4,3

bottom left the one near the -4 is -4,1

and the one below that is -2,5

And last the bottom right is 4,1

Step-by-step explanation:

Your welcome :)

they are alternate interior angles

Answer:

The answer is constructive interori

Step-by-step explanation:

Answer:

(3, 1) (5, 3) (7, 5) (13, 11)

Step-by-step explanation:

There are only three of them that I know of:

(7, 5) (13, 11) (19,17)

Answer:

The third one, y = 5 x 10

Step-by-step explanation:

y = number of Kate's pens, 5 = how many times more pens Kate has than Mark, and 10 = how many pens Mark has.

Answer:

Step-by-step explanation:

julie has 28 cards

gene has 14 cards

sharon has 19 cards

intotal they all have 61 cards

Answer:

Without an opposite, the only operation that can be used is C a/h or Cos Adjacent/ Hypotenuse

Answer:

sah

Step-by-step explanation:

Answer: 18.84

Step-by-step explanation:

Formula for circumference of a circle is 2[tex]\pi[/tex]r. Radius is half the diameter so 6/2=3. 2(3.14)(3)= 18.84