A regular hexagon and a regular octagon are joined as shown on the diagram.

Work out the size of angle x.

Answer: The probability that exactly 4 insects will survive = 0.2903.

Step-by-step explanation:

Given : The proportion of all insects in laboratory experiments killed by insecticide = 60%=0.60

Since , by using insecticide only two outcomes are possible either it kills or not kills , so we can use binomial.

Sample size of insects = 7

By using binomial probability formula : [tex]P(x)=^nC_xp^x(1-p)^{n-x}[/tex], where x is binomial variable , n = sample size and p is the probability of getting success.

Let x be the number of insects survived.

As per given , we have

n=7 , p=0.60

Now , the probability that exactly 4 insects will survive :

[tex]P(x=4)= ^7C_4(0.60)^4(1-0.60)^3\\\\=\dfrac{7!}{4!3!}(0.60)^4(0.40)^3\\\\= 35\times 0.1296\times 0.064 \\\\=0.290304\approx0.2903[/tex]

Hence, the probability that exactly 4 insects will survive = 0.2903

Answer:

A.

Step-by-step explanation:

Hope this helps!

With a total perimeter of 150 inches and a width of 42 inches, the length was calculated to be 33 inches, option D.

To determine how long the quilt is, we need to calculate the perimeter of the rectangular quilt and then solve for the missing length. Since Annita needs 150 inches of lace, we know this is the total perimeter (P) of the quilt. The quilt is 42 inches wide. The formula for the perimeter of a rectangle is P = 2(length) + 2(width). We can set up the equation as 150 = 2(length) + 2(42).

Now let's solve for the length (L):

The length of the quilt is 33 inches, which corresponds to option D.

The length of the quilt is 33 inches.

The correct option is (D).

To find the length of the quilt, we need to use the formula for the perimeter of a rectangle, which is given by:

[tex]\[ \text{Perimeter} = 2 \times (\text{Length} + \text{Width}) \][/tex]

Given that the width of the quilt is 42 inches and Annita needs 150 inches of lace to go around the entire quilt, we can set up the equation as:

[tex]\[ 150 = 2 \times (\text{Length} + 42) \][/tex]

Now, let's solve for the length [tex](\( \text{Length} \)):[/tex]

[tex]\[ 150 = 2 \times (\text{Length} + 42) \][/tex]

[tex]\[ 75 = \text{Length} + 42 \][/tex]

Subtract 42 from both sides:

[tex]\[ 75 - 42 = \text{Length} \][/tex]

[tex]\[ \text{Length} = 33 \][/tex]

So, the length of the quilt is 33 inches. Therefore, the answer is option D. 33 inches.

The value of x in the expression for the angle of the triangle is 12.

The figure in the image is a triangle.

From the image:

Angle 1 = 5x

Angle 2 = 60 degrees

Angle 3 = 60 degrees

Note that, the sum of the interior angle of a triangle equals 180 degrees.

To determine the value of x, add the 3 angles and equate to 180 degrees.

Hence:

5x + 60 + 60 = 180

Collect and add like terms:

5x + 120 = 180

Subtract 120 from both sides:
5x + 120 - 120 = 180 - 120

5x = 180 - 120

5x = 60

x = 60/5

x = 12

Therefore, x has a value of 12.

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Answer:

42

Step-by-step explanation:

Answer:

Salty spark is right

Step-by-step explanation:

for anyone who didnt know 0.25 is equivalent to 1/4 just to make it clear 1/4 IS the correct answer saltyspark just put it in decimal form.

To find Ilana's average speed, we divide the total laps by the total minutes, which results in one-fourth of a lap per minute.

To find the average speed, we divide the total distance by the total time taken

To determine Ilana's average speed, we need to divide the total distance (2 laps) by the total time (8 minutes). When we do that, we get 0.25 laps per minute.

This is also known as one-fourth of a lap per minute. That means, on average, Ilana completes a quarter of a lap every minute.

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Answer:

22c + 18s

Step-by-step explanation:

Lena buys:

12c + 11s

Patrick buys;

10c + 7s

Total cost is the sum of the both Lena and Patrick's purchase

12c + 11s + 10c + 7s

collect like terms

12c +10c + 11s + 7s

22c + 18s

Given:

UT = 31.5

To find:

The measure of US.

Solution:

In the figure, WV bisects UT.

⇒ US = ST -------------- (1)

UT = US + ST

31.6 = US + US    (using (1))

31.6 = 2 US

Divide by 2 on both sides.

[tex]$\frac{31.6}{2} =\frac{2US}{2}[/tex]

[tex]15.8=US[/tex]

The measure of US is 15.8.

Answer:

A

Step-by-step explanation:

may i have brainliest

The best explains the relationship between the two triangles will be Angle A is congruent to angle R, Angle C is congruent to angle S, and Angle D is congruent to angle T.  Then the correct options are A and B.

The polygonal shape of a triangle has a number of sides and three independent variables. Angles in the triangle add up to 180°.

The ratio of the matching sides will remain constant if two triangles are comparable to one another.

If the two angles are similar of the triangles, then the triangles are similar triangle.

The best explains the relationship between the two triangles will be Angle A is congruent to angle R, Angle C is congruent to angle S, and Angle D is congruent to angle T.  Then the correct options are A and B.

More about the triangle link is given below.

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Answer:

if the chord is not passing through the center of the circle it is not a diameter

A chord is any line that divides the circle into two parts; the parts may be equal or unequal

From the question, we understand that the chord is not a diameter

This means that:

See attachment for a diagram that illustrates the chord

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Answer:

83.3%

Step-by-step explanation:

Convert fraction (ratio) 10 / 12

Answer: 83.333333333333%

Answer:

4)13

Step-by-step explanation:

In geometry, an isosceles triangle is a triangle that has two sides of equal length. Sometimes it is specified as having exactly two sides of equal length, and sometimes as having at least two sides of equal length, the latter version thus including the equilateral triangle as a special case.

Answer:

14

Step-by-step explanation:

Because 40% of the class is playing games, that means (100-40)% aren't playing, meaning that those 60% haven't finished the assignment.

We find 60% of the total 24 students, and that is .6 * 24 = 14.4

Because you can't have .4 people, the answer rounds (down ) to 14

Answer:

14 Students.

Step-by-step explanation:

40% of 24 is 9.6 (Which should be approximated to 10). 24 Students in total - Approximately 10 who have completed the assignment is 14 students who still need to complete the assignment.

Answer:

The mean of the distribution of heights of students at a local school is 63 inches and the standard deviation is 4 inches.

Step-by-step explanation:

The normal curve approximating the distribution of the heights of 1000 students at a local school is shown below.

For a normal curve, the mean, median and mode are the same and represents the center of the distribution.

The center of the normal curve below is at the height 63 inches.

Thus, the mean of the distribution of heights of students at a local school is 63 inches.

The standard deviation represents the spread or dispersion of the data.

From the normal curve it can be seen that values are equally distributed, i.e. the difference between two values is of 4 inches.

So, the standard deviation is 4 inches.

Answer:

38.01

Step-by-step explanation:

Answer:

8 units like the top person says

Answer: 2 , 3 , & 4 are correct .

Answer:

- [tex]\frac{3}{4}[/tex]

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = - 2x - [tex]\frac{3}{4}[/tex] ← is in slope- intercept form

with y- intercept c = - [tex]\frac{3}{4}[/tex]

Answer:

only 441 km in 45 s has the same speed as Saige's

Step-by-step explanation:

588 / 60 = 9.8 km/sec

441 / 45 = 9.8 km/sec

Answer:

441km in 45s—same speed

215km in 25s—not the same speed

649km in 110s—not the same speed

Step-by-step explanation:

Answer:

[tex] 4 {x}^{2} - 28x + 24[/tex]

Step-by-step explanation:

Roots of the quadratic equation are 1 and 6

Therefore, (x - 1) & (x - 6) are factors.

Leading coefficient is: 4

Required quadratic equation is given as:

[tex]4(x - 1)(x - 6) \\ = 4( {x}^{2} - 6x - x + 6) \\ = 4( {x}^{2} - 7x + 6) \\ = 4 {x}^{2} - 28x + 24[/tex]

Answer:

585 steps

Step-by-step explanation:

To get the solution multiply:

9*13*5 = 585

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Answer:  

The intensity of an earthquake with a magnitude of 2 is 100 times greater than the intensity of a standard earthquake.

Explanation:  

The magnitude of earthquakes is given by

[tex]Magnitude=log\frac{I}{S}[/tex]

[tex]2=log\frac{I}{S}\\[/tex]

Where I is the intensity of earthquake and S is the intensity of standard earthquake.

The magnitude of standard earthquakes is given by

[tex]Magnitude=log\frac{S}{S}= log(1) = 0[/tex]

So comparing the magnitude of the given earthquake and standard earthquake,

[tex]log\frac{I}{S} = log\frac{S}{S}[/tex]

[tex]log\frac{I}{S} - log\frac{S}{S}[/tex]

[tex]log(2) - log(1)[/tex]

[tex]2 - 0[/tex]

[tex]2[/tex]

which means that

[tex]10^2 = 100[/tex] times greater

Therefore, the intensity of an earthquake with a magnitude of 2 is 100 times greater than the intensity of a standard earthquake.

No, she doesn't have enough square to complete the quilt. Mrs. Alexander need 4 more squares to complete the rectangular quilt, that will have an area of 80 square feet.  20 square required to make quilt.

Step-by-step explanation:

The given is,

                Area of an rectangular quilt - 80 square feet

               She made 16 squares

               Square have 2 feet long and 2 feet wide

Step:1

             Area of rectangular quilt = 80 square feet

             Area of 16 squares = 16 × Area of square..................(1)

            Formula for area of square,

                                       [tex]A = a^{2}[/tex]................................(2)

           Where, a - Sides of square

                        a = Length = Wide

           From given,

                        a = 2 feet

          Equation (2) becomes,

                                          [tex]A = 2^{2}[/tex]

                                          A = 4 square feet

         Equation (1) becomes,

                          Area of 16 squares = 16 × 4

                                                          = 64 square meters

         Area of rectangular quilt ≠ Area of 16 squares

                                    80 ≠ 64

         Area of square is less compare to area rectangular quilt, so we need more square,

       Required amount of square area = 80 - 64

                                                               = 16 square feet

               Required amount of squares = [tex]\frac{16}{4}[/tex]

                                                                = 4 squares

       Total(16+4) square areas = 20 × 4 = 80 square feet

          Area of rectangular quilt = Area of 20 squares

                         80 square feet = 80 square feet

Result:

         No, she doesn't have enough square to complete the quilt. Mrs. Alexander need 4 more squares to complete the rectangular quilt, that will have an area of 80 square feet. 20 square required to make quilt.

Answer:

Step-by-step explanation:

Factors of 90: 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90.

Factors of 72: 1, 2, 3, 4, 6, 8, 9, 12, 18, 34, 36, 72.

Common factors: 1, 2, 3, 6, 18.

18 is the greatest common factor.

GCF = Greatest common factor.

Answer:

The GCF of 90 and 72 is 18.

Step-by-step explanation:

All factors of 90: 1,2,3,5,6,9,10,15,18,30,45 and 90.

All factors of 72: 1,2,3,4,6,8,9,12,18,24,36 and 72.

All common factors of 90 and 72: 18, 9, 6, 3, 2, and 1.

The greatest common factor: 18.

Hopefully this helps!

Answer:

The length is 16 while the width is 4

Step-by-step explanation:

To solve for perimeter the equation is L+W=P

By using this equation you can get to what you need I made my own equation using what we know

My equation is 4L+W=20

Then I just started plugging things in and I ended up with L= 16 and W=4