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2 years ago

Pleas help me ASAP thank you :)

Mathematics

1 answer:

RoseWind [281]2 years ago

8 0

Answer:

Step-by-step explanation:

it says 11

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Write an equation of a line passing

Makovka662 [10]

Answer:

slope of line pass throught jk is 0.5 slope

since line perpendicular to jk then x × 0.5= -1 so slope of line perpendicular is -2

then eq of line is y= -2x -15

6 0

3 years ago

Find the area of the composite shape below.

arlik [135]

Answer: 1106.13 (2 decimal places)

Step-by-step explanation:

To work out the area of this composite shape you would have to put the two semi circles together to form a circle and work out the area of the circle (they have provided the radius which is 11in), then work out the area of the rectangle separately.

The formula for the area of a circle is πr^2 (pi x radius squared).

So when you put the numbers in the formula the area is πx11^2=380.1327111

Then to work out the area of the rectangle you would do base x height.

The height of the rectangle is the same as the diameter of the circle (the diameter is double the radius of a circle) which is 22in.

To find the area of the rectangle you do 22x33=726

So then to find the area of the whole shape you would have to add the area of the circle and the rectangle together.

726+380.1327111=1106.13 (2 decimal places).

3 0

3 years ago

There are 30 balls numbered 1-30 in a bag. One is randomly selected 12 times. What is the probability of getting a prime number

Sliva [168]

Answer: The probability of getting a prime number exactly five times = 0.1908

Step-by-step explanation:

Prime numbers from 1 to 30 are 2,3,5,7,11, 13, 17, 19, 23, 29.

The probability of getting a prime number p= $\dfrac{10}{30}=\dfrac13$

Number of trials n = 12

Binomial probability formula:

$P(X=x) = \ ^nC_x p^x(1-p)^{n-x}$

, where x= number of successes

n= number of trials.

x = Number of successes

p= probability of getting one success.

The probability of getting a prime number exactly five times:

$P(X=5)=\ ^{12}C_5(\frac13)^5(1-\frac13)^{7}$

$=\frac{12!}{5!7!}(\frac1{243})(\frac{128}{2187})\\\\=0.1908$

Hence, the probability of getting a prime number exactly five times = 0.1908

4 0

3 years ago

Automobile mechanics conduct diagnostic tests on 150 new cars of a particular make and model to determine the extent to which th

Aleks04 [339]

Answer:

99% Confidence interval: (0.185,0.375)

Step-by-step explanation:

We are given the following in the question:

Sample size, n = 150

Number of cars that have faulty catalytic converters, x = 42

$\hat{p} = \dfrac{x}{n} = \dfrac{42}{150} = 0.28$

99% Confidence interval:

$\hat{p}\pm z_{stat}\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}$

$z_{critical}\text{ at}~\alpha_{0.01} = \pm 2.58$

Putting the values, we get:

$0.28\pm 2.58(\sqrt{\frac{0.28(1-0.28)}{150}}) = 0.28\pm 0.095\\\\=(0.185,0.375)$

The 99% confidence interval for the true proportion of new cars with faulty catalytic converters is (0.185,0.375)

8 0

3 years ago

18a³/-3a<br>reduse the equation to it's smallest form

schepotkina [342]

Step-by-step explanation:

= 18 a³/ - 3 a

= - 6 a²

plz mark my answer as brainlist plzzzz.hope this will be helpful to you ☺️.

if you find it useful.

3 0

3 years ago