PLEASE HELP ! 15 POINTs!
ABCD is a trapezium
Calculate the perimeter of the trapezium
Give your answer correct to 3 significant figures

Answer:

There will be sufficient evidence to conclude. A further explanation is provided below.

Step-by-step explanation:

The given values are:

[tex]\sigma=1.8[/tex]

[tex]\alpha=0.05[/tex]

[tex]n=10[/tex]

As we know,

[tex]\bar{x}=\frac{\Sigma x_i}{n}[/tex]

  [tex]=\frac{71.5}{10}[/tex]

  [tex]=7.15[/tex]

The standard deviation will be:

⇒  [tex]s=\sqrt{\frac{1}{n-1} \Sigma(x_i- \bar{x})^2 }[/tex]

On substituting the values, we get

⇒     [tex]=\sqrt{\frac{1}{10-1} [(6.5-7.15)^2+...(7.7-7.15)^2]}[/tex]

⇒     [tex]=\sqrt{\frac{1}{9} [(6.5-7.15)^2+...(7.7-7.15)^2]}[/tex]

⇒     [tex]=0.477[/tex]

According to the question,

Hypotheses:

[tex]H_o: \sigma=1.8[/tex]

[tex]H_a: \sigma<1.8[/tex]

The test statistic will be:

⇒ [tex]X^2=\frac{(n-1)s^2}{\sigma^2}[/tex]

⇒       [tex]=\frac{(10-1)\times 0.477^2}{1.8^2}[/tex]

⇒       [tex]=\frac{2.0477}{3.24}[/tex]

⇒       [tex]=0.632[/tex]

Thus the above is the correct response.

Answer:

1. 12.20

2.8.9

3.31.4

4.13.9

5. 21.93

6. some of it is cut off.

Step-by-step explanation:

a^2+b^2=c^2

Answer: 24 miles

Step-by-step explanation:

If 6 hours = 144 miles

  1 hour = ?

(cross multiplication)

= 144/6

=24

Answer: 5/6  

Step-by-step explanation:

25/30(5/5)

5/6(1/1)

(5/1)(6/1)

=5/6

Answer:

3 pounds 9 ounces

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

Answer:

B.

Step-by-step explanation:

as for my answer please correct if im wrong

Answer:

x = 7

Step-by-step explanation:

x + 8 = 15

7 + 8 = 15

15 = 15

LHS = RHS

Answer:

steps:

Answer:

x = 43 degrees

Step-by-step explanation:

First, you have to see that there is a right angle of 90 degrees. Since that is there, you know that there is 90 degrees in the bottom and right side as well. So all you do in this question is do 90 - 47 to get your answer of 43 degrees.

Answer:

4.9 so 5

Step-by-step explanation:

Answer:

y=−x^2−2x+1

Step-by-step explanation:

Answer: 1 quart = 4 cups or 2 pints

Answer:

it d. the proof demonstrates that a 2 + b 2=c 2

Answer:

160 acres

Step-by-step explanation:

Given data

Total Amount of land= 280 Acres

Ratio=4:3

Total part = 4+3= 7

Applying the part to all method

let AI receive x acres

Then

4/7= x/280

cross multiply

7x= 280*4

7x=1120

x= 1120/7

x= 160

Hence AI will receive 160 acres

Answer:

53

Step-by-step explanation:

50 - 12 = 38

38 + 15 = 53

Answer:

x+35/5=2

x+35=10

x=-25

Answer:

[tex]\frac{1}{5} x[/tex]+7=2, x=-25

[tex]\frac{m}{7} -7=3[/tex], m= 105

[tex]\frac{3}{5} x+7=-20, x= -45[/tex]

[tex]-\frac{2}{7} t+5=17, t=-42[/tex]

4.9x+4.2=9.1, x=1

Explanation for last two:

[tex]-\frac{2}{7}t+5=17[/tex]  

Step 1: Subtract 5 from both sides.

[tex]\frac{-2}{7} t+5-5=17-5[/tex]

[tex]\frac{-2}{7} t=12[/tex]

Step 2: Multiply both sides by 7/(-2).

[tex](\frac{7}{-2} )*( \frac{-2}{7}t )= (\frac{7}{-2} )*(12)[/tex]

t=−42

4.9x+4.2=9.1

Step 1: Subtract 4.2 from both sides.

4.9x+4.2−4.2=9.1−4.2

4.9x=4.9

Step 2: Divide both sides by 4.9.

[tex]\frac{4.9x}{4.9} \frac{4.9}{4.9}[/tex]

x=1

Answer:

43720

Step-by-step explanation:

It was right on delta math

Answer:

x = 4

y = 3.5

Step-by-step explanation:

The parallelogram given has opposite sides that are equal in length. Therefore, the diagonals bisect each other into two equal parts respectively.

Thus:

2y = 7

Divide both sides by 2

y = 7/2

y = 3.5

Also,

x + 6 = 10

Subtract 6 from each side

x = 10 - 6

x = 4

Answer:

10

Step-by-step explanation:

10-5

Answer:

10

Step-by-step explanation:

Answer:

=48x2^+3097x+12

Step-by-step explanation:

3(4x+9)(4)x+2712x+277x+12

Distribute:

=48x2+108x+2712x+277x+12

Combine Like Terms:

=48x2+108x+2712x+277x+12

=(48x2)+(108x+2712x+277x)+(12)

=48x2+3097x+12

Answer:

Hello~

12x+3×9

12x + 27

Ary~

Answer:

[tex]\Huge\boxed{x=11.8}[/tex]

Step-by-step explanation:

Hello There

cos = adjacent divided by hypotenuse

the adjacent side of the angle that has a measure of 49 is x and the hypotenuse is 18

so

[tex]cos49=\frac{x}{18}[/tex]

once again we want to isolate the variable using inverse operations

to get rid of the 18 we multiply each side by 18

[tex]\frac{x}{18} *=x\\cos49*18=18cos49[/tex]

we're left with

[tex]x=18cos49[/tex]

now we let the calculator do the rest of the work

we end up with

[tex]x=11.80906252[/tex]

our final step would be to round to the nearest tenth

so we can conclude that the x = 11.8

Answer:

B. 467

A yellow ball will be selected about 467 times.

Answer:

[tex] \frac{4}{64} [/tex]

Step-by-step explanation:

The spinner is independent (the total won't be effected)

we know there is 2 whites with 8 coloured option.

[tex] \frac{2}{8} [/tex]

we want the probability of getting two whites.

[tex] \frac{2}{8} \times \frac{2}{8} = \frac{4}{64} [/tex]

there is 3 ways to work out probability, fraction, decimal and percentage (i'd personally say fraction is the most easiest)

The probability of Keisha to win a prize on both spins in a game of wheel which is divided in eight equal sectors is 1/16.

Probability of an event is the ratio of number of favorable outcome to the total number of outcome of that event.

Keisha is playing a game using a wheel divided into eight equal sectors, as shown in the diagram.

Each time the spinner lands on white, she will win a prize. If she spins this wheel twice,

Here, the white is appeared twice in the wheel and the total number of  sector in wheel are 8. Thus the probability of first time to come white in the spin is,

[tex]P=\dfrac{2}{8}\\P=\dfrac{1}{4}[/tex]

The conditions are same for the second case. For this case, both result of both the spins of wheel are independent of each other.

Thus, by the chain rule, the probability both spin as white sector appear is,

[tex]P=\dfrac{1}{4}\times\dfrac{1}{4}\\P=\dfrac{1}{16}[/tex]

Thus, the probability of Keisha to win a prize on both spins in a game of wheel which is divided in eight equal sectors is 1/16.

Learn more about the probability here;

https://brainly.com/question/24756209

Answer:

60

Step-by-step explanation:

There are two ways to check that I know.

First way:

Double 50, 10 automatically doubles too.

50x2=100

10x2=20

Then we can multiply the 100 by to equal 300, the 20 also automatically multiplies to equal 60.

100x3=300

20x3=60

Second way:

10 is 20% of 50 we can find that bu multiplying 20% and 50, like this:

20%x50= 10

To find out the answer if the 5 was changed to a 300 we would have to multiply 20% of 300.

20%x300= 60

We've looked at two ways to solve this problem and both ways equal 60. So, therefore, the answer for this question is 60.