A certain insecticide kills 70% of all insects in laboratory experiments. A sample of 8 insects is exposed to the insecticide in a particular experiment. What is the probability that exactly one insect will survive?

Answer:

Step-by-step explanation:

p/100* 400=80

*100               *100

400p=8000

:400     :400

p=20

With 5% significant level I think we consider that 22% likes the drink

Answer:

πd or 2πr

Step-by-step explanation:

To calculate the circumference of a circle, multiply the diameter of the circle by pi or multiply 2 times the radius times pi.

Hope that helps.

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Write down the formula for finding the circumference of a circle using the diameter. The formula is simply this: C = πd. In this equation, "C" represents the circumference of the circle, and "d" represents its diameter. That is to say, you can find the circumference of a circle just by multiplying the diameter by pi. Plugging π into your calculator will give you its numerical value, which is a closer approximation of 3.14 or 22/7.

                                            ` OR `

Plug the given value of the diameter into the formula and solve.[2]

Example problem: You have a circle tub with a diameter of 8 feet, and you want to build a white fence that creates a 6-foot wide space around the tub. To find the circumference of the fence that has to be created, you should first find the diameter of the tub and the fence which will be 8 feet + 6 feet + 6 feet, which will account for the entire diameter of the tub and fence. The diameter is 8 + 6 + 6, or 20 feet. Now plug it into the formula, plug π into your calculator for its numerical value, and solve for the circumference:

C = πd

C = π x 20

C = 62.8 feet

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Hope this helped you.

Could you maybe give brainliest..?

❀*May*❀

Answer:

B.

Step-by-step explanation:

Let's call x the number of pens and y the number of notebooks that Monique can buy.

If each pen costs $2 and each notebook costs $3, so she is going to spend 2*x on pens and she is going to spend 3*y on notebooks.

Additionally, she is going to spend a maximum of $36. so:

2x + 3y [tex]\leq[/tex] 36

It means that the line that  separated the region is:

2x + 3y = 36

This is the same that a line that passes for the points (0,12) and (18,0) or the line of the region B

Answer:

a. P ( X > 12 ) = 0.5254

b. P ( X < 15 ) = 0.7172

c. P ( 9 < X < 13 ) =  0.3179

d. Not unusual

Step-by-step explanation:

Solution:-

- We will define our random variable X as follows:

       X: The weights of the male babies less than 2 month old in USA ( lb )

- The distribution given for the random variable ( X ) is defined to follow normal distribution.

- The normal distribution is identified by two parameters mean ( u ) and standard deviation ( σ ). The distribution is mathematically stated or expressed as:

                               X ~ Norm ( u , σ^2 )

- The parameters for the normal distribution followed by the random variable ( X ) are given. Hence,

                              X ~Norm ( 12.3 , 4.7^2 )

- We will use standard normal tables to determine the following probabilities:

a) What proportion of babies weigh more than 12 pounds?

- To use the standard normal tables we need to standardized our limiting value of the required probability by finding the corresponding Z-score value.

- The formula used to compute the Z-score value is given below:

                                [tex]Z-score = \frac{x - u}{sigma}[/tex]

- We are requested to compute the probability p ( X > 12 ). the limiting value is 12 pounds. We will use the conversion formula and compute the Z-score:

                               [tex]Z-score = \frac{12 - 12.3}{4.7} \\\\Z-score = -0.06382[/tex]

- The standard normal table gives the probabilities of Z-score values in "less than ". So to determine the required probability we look-up:

                            P ( X > 12 ) = P ( Z > -0.06382 ) = ...

                            P ( Z > -0.06382 ) = 1 - P ( Z < -0.06382 )  

Use standard normal look-up table:

                            P ( X > 12 ) =  1 - 0.4746

                            P ( X > 12 ) = 0.5254  ... Answer

Answer: The proportion of babies that weigh more than 12 pounds is the probability of finding babies weighing more than 12 pounds among the total normally distributed population. The proportion is 0.5254

b) What proportion of babies weigh less than 15 pounds?

- We are requested to compute the probability p ( X < 15 ). the limiting value is 12 pounds. We will use the conversion formula and compute the Z-score:

                             [tex]Z-score = \frac{15-12.3}{4.7} \\\\Z-score = 0.57446[/tex]

- The standard normal table gives the probabilities of Z-score values in "less than ". So to determine the required probability we look-up:

                            P ( X < 15 ) = P ( Z < 0.57446 )

                            P ( X < 15 ) = 0.7172

Answer: The proportion of babies that weigh less than 15 pounds is the probability of finding babies weighing less than 15 pounds among the total normally distributed population. The proportion is 0.7172

c) What proportion of babies weigh between 9 and 13 pounds?

- We are requested to compute the probability p ( 9 < X < 13 ). the limiting value are 9 and 13 pounds. We will use the conversion formula and compute the Z-score:

                           [tex]Z_1 = \frac{9-12.3}{4.7} = -0.70212\\\\Z_2 = \frac{13-12.3}{4.7} = 0.14893\\[/tex]

- The standard normal table gives the probabilities of Z-score values in "less than ". So to determine the required probability we look-up:

                          P ( 9 < X < 13 ) = P ( -0.70212 < X < 0.14893 )

        P ( -0.70212 < X < 0.14893 ) = P ( X < 0.14893 ) - P ( X < -0.70212 )  

Use standard normal look-up table:

                            P ( 9 < X < 13 ) =  0.5592 - 0.2413

                            P ( 9 < X < 13 ) =  0.3179  ... Answer

Answer: The proportion of babies that weigh less than 13 pounds but greater than 9 pounds is the probability of finding babies weighing less than 13 pounds and more than 9 pounds among the total normally distributed population. The proportion is 0.3179

d)

Is it unusual for a baby to weigh more than 18.1 pounds?

- We are requested to compute the probability p (  X > 18.1 ). the limiting value is 18.1 pounds. We will use the conversion formula and compute the Z-score:

                             [tex]Z-score = \frac{18.1-12.3}{4.7} \\\\Z-score = 1.23404[/tex]

The standard normal table gives the probabilities of Z-score values in "less than ". So to determine the required probability we look-up:

                            P ( X > 18.1 ) = P ( Z > 1.23404 )

                            P ( X > 18.1 ) =  0.1086

Answer: The proportion of babies that weight more than 18.1 pounds are 0.1086 of the total babies population. We can say that the proportion of babies that weigh more than 18.1 pounds are significant because the proportion lies is significant. Not enough statistical evidence to be classified as "unusual".

Answer:

Step-by-step explanation:

eq. of circle with (x1,y1 ) and (x2,y2) as extremities of diameter is

(x-x1)(x-x2)+(y-y1)(y-y2)=0

(x+3)(x-1)+(y-5)(y-9)=0

x²+3x-x-3+y²-5y-9y+45=0

x²+2x-3+y²-14y+45=0

x²+2x+y²-14y+42=0

x²+2x+1+y²-14y+49=-42+1+49

(x+1)²+(y-7)²=8

(x-(-1))²+(y-7)²=8

Answer:

(C)69 units

Step-by-step explanation:

The diagonals of a parallelogram bisect each other.

Therefore, point E divides diagonal BD into DE and EB such that:

DE = EB

2x+9=3x-21

3x-2x=9+21

x=30

Therefore:

DE=2(30)+9=69 Units

EB=3x-21=3(30)-21=69

Therefore, the length of segment EB in parallelogram ABCD is 69 Units

The correct option is C.

Answer:69

Step-by-step explanation:

Answer:

u = 2/3

Step-by-step explanation:

Simply divide both sides by -8:

u = (-16/3)/-8

If you don't have a calc, use KCF:

u = (-16/3)(-1/8)

u = 16/24

u = 2/3

Answer:

[tex]P(X=20)=(60C20)(0.4)^{20} (1-0.4)^{60-20}=0.0616[/

[tex]\mu =np= 60*0.4= 24[/tex]

[tex]\sigma =\sqrt{60*0.4*(1-0.4)}= 3.79[/tex]

And using the normal approximation we have:

[tex] P(19.5 < X< 20.5)[/tex]

And we can use the z score formula and we got:

[tex] z=\frac{19.5-24}{3.79}= -1.19[/tex]

[tex] z=\frac{20.5-24}{3.79}= -0.92[/tex]

And using the normal standard distribution table we got:

[tex] P(-1.19<z<-0.92) =P(z<-0.92) -P(z<-1.19) =0.179-0.117= 0.062[/tex]

So we see that the results are very similar

Step-by-step explanation:

Let X the random variable of interest, on this case we now that:

[tex]X \sim Binom(n=60, p=0.4)[/tex]

The probability mass function for the Binomial distribution is given as:

[tex]P(X)=(nCx)(p)^x (1-p)^{n-x}[/tex]

Where (nCx) means combinatory and it's given by this formula:

[tex]nCx=\frac{n!}{(n-x)! x!}[/tex]

And we want to find this probability:

[tex] P(X=20)[/tex]

And we can find the probability using the probability mass function

[tex]P(X=20)=(60C20)(0.4)^{20} (1-0.4)^{60-20}=0.0616[/tex]

Using the normal approximation we need to find the mean and the deviation:

[tex]\mu =np= 60*0.4= 24[/tex]

[tex]\sigma =\sqrt{60*0.4*(1-0.4)}= 3.79[/tex]

And using the normal approximation we have:

[tex] P(19.5 < X< 20.5)[/tex]

And we can use the z score formula and we got:

[tex] z=\frac{19.5-24}{3.79}= -1.19[/tex]

[tex] z=\frac{20.5-24}{3.79}= -0.92[/tex]

And using the normal standard distribution table we got:

[tex] P(-1.19<z<-0.92) =P(z<-0.92) -P(z<-1.19) =0.179-0.117= 0.062[/tex]

So we see that the results are very similar

Answer:

0.05 inches per minute

Step-by-step explanation:

The formula for speed is [tex]Speed=\frac{Distance}{Time}[/tex]

The given distance is 6 inches and the time is 120 minutes. Plug in the components into the formula to solve for speed and reduce:

[tex]Speed=\frac{6}{120}[/tex]

[tex]Speed=\frac{1}{20}[/tex]

1/20 in decimal form is 0.05

Answer:

2 to the 1/6 th power

Step-by-step explanation:

square root = 1/2

Cube root = 1/3

so 1/3 x 1/2= 1/6

can i please have brainlest

Answer:

2 to the 1/6 th power

Step-by-step explanation:

square root = 1/2

Cube root = 1/3

so 1/3 x 1/2= 1/6

can i please have brainlest

Answer:

Step-by-step explanation:

log(x²+8)=1+log(x)

log(x²+8)-log(x)=1

[tex]log\frac{x^2+8}{x} =1\\\frac{x^2+8}{x} =10^1\\x^2+8=10x\\x^2-10x+8=0\\x=\frac{10 \pm \sqrt{(-10)^2-4*1*8} }{2} \\=\frac{10 \pm \sqrt{100-32} }{2} \\=\frac{10 \pm \sqrt{68} }{2} \\=\frac{10 \pm 2\sqrt{17} }{2} \\=5 \pm \sqrt{17}[/tex]

Correct question:

The vector matrix [ [tex] \left[\begin{array}{ccc}2\\7\end{array}\right] [/tex] is dilated by a factor of 1.5 and then reflected across the x axis. If the resulting matrix is [a/b] then a=??? and b=???

Answer:

a = 3

b = 10.5

Step-by-step explanation:

Given:

Vector matrix = [tex] \left[\begin{array}{ccc}2\\7\end{array}\right] [/tex]

Dilation factor = 1.5

Since the vector matrix is dilated by 1.5, we have:

[tex] \left[\begin{array}{ccc}1.5 * 2\\1.5 * 7\end{array}\right] [/tex]

= [tex] \left[\begin{array}{ccc}3\\10.5\end{array}\right] [/tex]

Here, we are told the vector is reflected on the x axis.

Therefore,

a = 3

b = 10.5

Answer:

a = 3

b = -10.5

Step-by-step explanation:

got a 100% on PLATO

Answer:

8, 8, 13

Step-by-step explanation:

The three numbers 8, 8, 13 have a range of 5.

13 - 8 = 5

The mode is 8, the repeated number.

Answer:

need pls

Step-by-step explanation:

Answer:

[tex] x_1 = 5, x_2 =11, y_1 =9, y_2 = -3[/tex]

The slope can be founded with this formula:

[tex]m =\frac{y_2 -y_1}{x_2 -x_1}[/tex]

And replacing we got:

[tex] m =\frac{-3 -9}{11-5}= -2[/tex]

And the best answer for this case would be :

[tex]m=-2[/tex]

Step-by-step explanation:

For this case we have the following two points given:

[tex] x_1 = 5, x_2 =11, y_1 =9, y_2 = -3[/tex]

The slope can be founded with this formula:

[tex]m =\frac{y_2 -y_1}{x_2 -x_1}[/tex]

And replacing we got:

[tex] m =\frac{-3 -9}{11-5}= -2[/tex]

And the best answer for this case would be :

[tex]m=-2[/tex]

Answer:

1. The margin of error is of 66.96 square feet.

2. The 95% confidence interval estimate for the population mean using the Student's t-distribution is between 1433.04 square feet and 1566.96 square feet

Step-by-step explanation:

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 22 - 1 = 21

95% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 21 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.95}{2} = 0.975[/tex]. So we have T = 2.08

The margin of error is:

[tex]M = T\frac{s}{\sqrt{n}} = 2.08*\frac{151}{\sqrt{22}} = 66.96[/tex]

In which s is the standard deviation of the sample.

The margin of error is of 66.96 square feet.

The lower end of the interval is the sample mean subtracted by M. So it is 1500 - 66.96 = 1433.04 square feet

The upper end of the interval is the sample mean added to M. So it is 1500 + 314 = 1566.96 square feet

The 95% confidence interval estimate for the population mean using the Student's t-distribution is between 1433.04 square feet and 1566.96 square feet

Answer:

[tex]\boxed{x = 6}[/tex]

Step-by-step explanation:

Using Chord-Chord Power theorem:

=> (2)(x) = (4)(3)

=> 2x = 12

Dividing both sides by 2

=> x = 6

Answer:

D.

Step-by-step explanation:

y = (x - 5)^2 + 16

= x^2 - 5x - 5x + 25 + 16

= x^2 - 10x + 41

That corresponds with answer choice D.

Hope this helps!

Answer:

this is the correct answer B. y+1= -2(x-2)

Answer:

False.

Step-by-step explanation:

We are asked if it is true or false that any percentage point for a score distribution must have a value equal to one of the scores.

In this case we have to:

False.

Because for example, many times the median (or 50th percentile) is the mean of the inputs in middle 2, and may not equal any data point.

Answer:

The roots are where the graph intercepts the x-axis

Step-by-step explanation:

Alternatively, you could factor and then solve algebraically.

Answer:

1.59 change

Step-by-step explanation:

2.78*2=5.56

5.56+2.85=8.41

10.00-8.41=1.59

Pls Mark As Brainliest

Answer:

£1.59

Step-by-step explanation:

Cup of Coffee:

=>2 cups of coffee = 2(£2.78)

=> 2 cups of coffee = £5.56

Piece of cake = £2.85

Total cost = 5.56 + 2.85

=> £8.41

Now, the change:

=> £10-£8.41

=> £1.59

Answer:124

Step-by-step explanation:

2x + 8 + x - 2 = 180

Add like terms

3x + 6 = 180

Subtract the 6 from both sides

3x + 6 - 6 = 180 - 6

3x = 174

Divide by 3

x = 58

Now we have to find the measure of angle ACD

2(58) + 8 = 124

Answer: $5,000

Step-by-step explanation: First begin with the interest formula.

Interest = Principal × Rate × Time

In this problem, we're solving for the interest.

The principal is the amount invested or $2,500.

The rate is 8% which we can write as .08.

The time is 25 years.

So we have I = (2,500)(.08)(25).

Now we multiply.

(2,500)(.08) is equal to 200.

Now, multiply 200(25) to get 5,000.

This means that the interest earned is $5,000.

Answer:

no because one x value corresponds to two different y values

Answer:

housing , savings and food

housing , food and transport

Answer:

food , transportation , and clothing

Step-by-step explanation:

Answer:

85

Step-by-step explanation:

im new↑∵∴∵∴∞

Answer:

42°

Step-by-step explanation:

AD is a line

AEC and DEC are both 90°

AEB and CEB make up 90°

AEB+CEB=AEC substitute

AEB+48=90 Next use Subtraction property of equality

AEB=42

Hope this helps, if so please give me brainliest, it helps a lot. :)

Have a good day!

Answer:

∠AEB=42

Step-by-step explanation:

∠AEB and ∠BEC are inside of ∠AEC.

∠AEC is a right angle, Since ∠AEC and ∠CED are on a straight line, they must add to 180 degrees. ∠CED is a right angle (the little square in the corner tell us this), so ∠AEC must also be a right angle. This is because a right angle is 90 degrees (∠CED+∠AEC=180 --> 90+∠AEC=180 --> ∠AEC=90)

Therefore, the 2 angles (AEB and BEC) inside of ∠AEC must add to 90 degrees.

∠AEB+ ∠BEC= 90

We know that ∠BEC=48

∠AEB+48=90

We want to find out what ∠AEB is. We must get ∠AEB by itself. 48 is being added, and the inverse of addition is subtraction. Subtract 48 from both sides.

∠AEB+48-48=90-48

∠AEB=90-48

∠AEB=42

6*6 = 36

36/6=6

6^2

please mark me brainliest!

The equation will be:

A coordinate plane is a graphing and description system for points and lines.

Now create your equation using the values below: mm: If the answer is 12, there are

several possible equations: 2D+G=12 —r 2(3)+fi=12 4C+H—D —1 4(2)+T—3 DQC} —+ 3(2 1: 2) There are many

more options!

Learn more about Coordinate plane:

brainly.com/question/25516093

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