Solve for x. −43x 16<79 drag and drop a number or symbol into each box to correctly complete the solution.

The graph that represents a function is graph (1)

The attached graphs represent the given parameters

From the attached figure, we can see that there are four graphs

Each of the four graphs represented different functions

As a general rule,

A graph that represents a function must pass the vertical line test

The vertical line test is such that:

If a line is drawn from the x-axis, it must touch the curve not more than one times

The graph that passes this test is graph (1)

This is so because it is a quadratic graph

Hence, the function graph is (1)

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The number of trees more than 10m tall but not more than 20m tall is 18 trees.

0 < h ≤ 5 = 5

height greater than 0m less than or equal to 5m

5 < h ≤ 10 = 9

height greater than 5m less than or equal to 10m

10 < h ≤ 15 = 13

height greater than 10m less than or equal to 15m

15 < h ≤ 20 = 5

height greater than 15m less than or equal to 20m

20 < h ≤ 25 = 1

height greater than 20m less than or equal to 25m

The number of trees that are more than 10m tall but not more than 20m tall are;

10 < h ≤ 15 = 13

15 < h ≤ 20 = 5

So,

13 + 5 = 18 trees

Therefore, the total number of trees which are 10m tall but not more than 20m tall is 18 trees.

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Answer:

Step-by-step explanation:

what are we supposed to check.......and by the way you have written the answer at below too

Answer:7

Step-by-step explanation:

100/20 = 5

35/5 = 7

Answer:

a

Step-by-step explanation:

Answer:

  B)  108°

Step-by-step explanation:

You want the interior angle measure for a regular pentagon.

The interior angles of a regular n-gon will have measure ...

  180° -360°/n

When n = 5, the interior angles have measure ...

  180° -360*/5 = 180° -72° = 108°

The interior angles of a regular pentagon are 108°.

__

Additional comment

The 360°/n comes from the fact that the sum of exterior angles for any convex polygon is 360°. For a regular n-gon, those exterior angles are congruent, so each is 360°/n. The interior angle is its supplement.

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The difference between AIC and BIC penalty lies in their approach to model selection.

AIC (Akaike Information Criterion) is a measure of the goodness of fit of a statistical model. It is used to compare different models and select the one that fits the data best. AIC is based on the principle of maximum likelihood, which means it is more focused on finding the model that fits the data best.

On the other hand, BIC (Bayesian Information Criterion) is a criterion for model selection based on the Bayesian approach. It is also used to compare different models, but it takes into account the complexity of the model. BIC tends to favor simpler models, and it is more focused on finding the model that is most likely to be true given the data.

In summary, AIC is more focused on finding the model that fits the data best, while BIC is more focused on finding the model that is most likely to be true given the data.

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Answer:

The answer is 1 9/19

Step-by-step explanation:

a) The probability of failing to meet the specification limit of 45-pounds tensile strength 15.87%.

b) The number of parts that would not meet the specification is 7,935.

a) Given that the tensile strength of a metal part is normally distributed with mean 40 pounds and standard deviation 5 pounds.

We have to find the probability of failing to meet the specification limit of 45-pounds tensile strength.

Using the standard normal distribution, we can find the probability of failing to meet the specification limit of 45 pounds as follows:

z = {45 - 40}/{5}

= 1

The probability of failing to meet the specification limit of 45 pounds is the probability that the standardized variable Z is greater than 1, which is given by:

P(Z > 1) = 0.1587

Therefore, the probability of failing to meet the specification limit of 45-pounds tensile strength is 0.1587 or 15.87%.

b) If the probability of failing to meet the specification is 0.1587, the probability of meeting the specification limit is

1 - 0.1587 = 0.8413

.If 50,000 parts are produced, then the expected number of parts that meet the specification limit is:

0.8413* 50,000 =  42,065.

Therefore, the number of parts that would not meet the specification is: 50,000 - 42,065 = 7,935.

Hence, about 7,935 parts would not meet the specification.

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Answer:

\(t1 {15y08 \frac{18 \gamma \gamma }{?} }^{2} \)

The value of x that will make the equation of the model true is: x = 5.8.

Create an equation using the model given, then isolate the variable in order to determine its value, which will make the equation true.

Given the model above, the following equation would be created below:

x + x + 9.4 = 21

Combine like terms

2x + 9.4 = 21

Subtract 9.4 from both sides

2x + 94 - 9.4 = 21 - 9.4 [subtraction property of equality]

2x = 11.6

Divide both sides by 2:

2x/2 = 11.6/2 [division property of equality]

x = 5.8

The value of x is: 5.8.

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The approximation of sin(100) using the degree 3 Maclaurin polynomial for sin(x) is:
sin(100) ≈ (5π/9) - (125π³/4374)

This approximation may not be very accurate for larger angles like 100°, as the Maclaurin polynomial is mainly accurate around x = 0. Since -1 < sin(x) < 1, the result may not reflect the true value of sin(100).

A more detailed explanation of the answer.

To approximate sin(100) using the degree 3 Maclaurin polynomial for sin(x), we will use the following formula:

sin(x) ≈ x - (x³)/3!

Here, x should be in radians. Since the given value is in degrees, we first convert 100 degrees to radians:

100° * (π/180) ≈ 100π/180 = 5π/9 radians.

Now, let's plug this value into the Maclaurin polynomial formula:

sin(5π/9) ≈ (5π/9) - ((5π/9)³)/3!

Simplify the expression:

(5π/9) - (125π³/729) / (3*2*1)
(5π/9) - (125π³/4374)

So, the approximation of sin(100) using the degree 3 Maclaurin polynomial for sin(x) is:

sin(100) ≈ (5π/9) - (125π³/4374)

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When a circle with the equation  (x - 1)² + (y - k)² = 50 travels through the location (2,3), the possible values of k are -4 and 10.

A circle is created in the plane by each point that is a specific distance from another point (center). Thus, it is a curve made up of points that are separated from one another by a defined distance in the plane. Additionally, it is rotationally symmetric about the center at every angle. Every pair of points in a circle's closed, two-dimensional plane are evenly spaced apart from the "center." A circular symmetry line is made by drawing a line through the circle. Additionally, it is rotationally symmetric about the center at every angle.

given

The equation of a circle is (x - 1)² + (y - k)² = 50

The equation of the circle passes through the point (2, 3) = (x, y).

Now,

(2 - 1)² + (3 - k)² = 50

1 + (3 - k)² = 50

(3 - k)² = 50 - 1

3 - k = √49

3 - k = ±7

Now,

3 - k = 7

3 - 7 = k

k = -4

3 - k = -7

3 + 7 = k

k = 10

When a circle with the equation  (x - 1)² + (y - k)² = 50 travels through the location (2,3), the possible values of k are -4 and 10.

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Answer:

74%

Step-by-step explanation:

Answer:

Triangle ABC and Triangle JLK

Step-by-step explanation:

For Triangle ABC the 8 and 10 are both on the same if you turn Triangle JLK over clock wise it will be the same and plus both insides are 20 degrees. While the other Triangles have their 8 and 10 on other sides.

Answer:

Missing number is 1

Step-by-step explanation:

3(2x+1)

Using distributive property,

=>3(2x)+2(1)

=>6x+2

Answer:

A = 182

Step-by-step explanation:

14 x 13 = 182

So, 182 would be your answer.

Answer: 35 English Books and 63 Maths Books

Step-by-step explanation:

5:9

x:(x+28)

Cross multiplication...

9x=5x+140

9x-5x=140

4x=140

14/4 = 35 = x

English Books = x= 35

Maths Books = x+28 = 63

Step 1:

Start by setting it up with the divisor 6 on the left side and the dividend 45 on the right side like this:

   6 ⟌ 4 5  

Step 2:

The divisor (6) goes into the first digit of the dividend (4), 0 time(s). Therefore, put 0 on top:

       0    

   6 ⟌ 4 5  

Step 3:

Multiply the divisor by the result in the previous step (6 x 0 = 0) and write that answer below the dividend.

       0    

   6 ⟌ 4 5  

       0    

Step 4:

Subtract the result in the previous step from the first digit of the dividend (4 - 0 = 4) and write the answer below.

       0    

   6 ⟌ 4 5  

     - 0    

       4    

Step 5:

Move down the 2nd digit of the dividend (5) like this:

       0    

   6 ⟌ 4 5  

     - 0    

       4 5  

Step 6:

The divisor (6) goes into the bottom number (45), 7 time(s). Therefore, put 7 on top:

       0 7  

   6 ⟌ 4 5  

     - 0    

       4 5  

Step 7:

Multiply the divisor by the result in the previous step (6 x 7 = 42) and write that answer at the bottom:

       0 7  

   6 ⟌ 4 5  

     - 0    

       4 5  

      4 2  

Step 8:

Subtract the result in the previous step from the number written above it. (45 - 42 = 3) and write the answer at the bottom.

       0 7  

   6 ⟌ 4 5  

     - 0    

       4 5  

     - 4 2  

         3  

You are done, because there are no more digits to move down from the dividend.

The answer is the top number and the remainder is the bottom number.

Therefore, the answer to 45 divided by 6 calculated using Long Division is:

7

3 Remainder

The smallest value that can be represented in a 10-bit, two's complement representation is -512.

In two's complement representation, the most significant bit (MSB) is used to indicate the sign of the number. For a 10-bit representation, the MSB represents the negative range. Since the MSB is 1, the remaining 9 bits can represent a range of values from -2^9 to 2^9-1.

To find the smallest value, we set the MSB to 1 and the remaining 9 bits to 0, which gives us -512. This is the smallest negative value that can be represented in a 10-bit, two's complement system.

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The percentage increase is given by the equation A = t + 0.24t = 1.24t

A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, %

The difference between an exact value and an approximation to it is the approximation error in a data value. Either an absolute error or a relative error might be used to describe this error.

Percentage change is the difference between the measured value and the true value , as a percentage of the true value

Percentage change =( (| Measured Value - True Value |) / True Value ) x 100

Given data ,

Let the percentage increase be represented as A

Now , the equation will be

The initial quantity be represented as t

Now , the increased quantity be represented as p = 24 %

So , the increased quantity = 24 % x initial quantity

Substituting the values in the equation , we get

The increased quantity = ( 24/100)t

The increased quantity = 0.24t

So , the final quantity = initial quantity + increased quantity

On simplifying the equation , we get

The final quantity = t + 0.24t

The final quantity = 1.24t

Hence , the equation is A = 1.24t

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Answer:

Circumference is pi times diameter so that would equal 15 pi. The formula to find the area of a circle is A=pi * r^2 So you divide 15 by 2 to find the radius. r=7.5 Then you square it and multiply it by pi and get 56.25pi which is about equal to 176.715

Answer:

∠ C = 100°

Step-by-step explanation:

since 2 sides of the triangle are congruent then the triangle is isosceles with base angles congruent.

consider the angle inside the triangle to the left of 140°

this angle and 140° are a linear pair and sum to 180°

angle + 140° = 180° ( subtract 140° from both sides )

angle = 40°

then the angle on the left of the triangle = 40° ( base angles congruent )

the sum of the angles in a triangle = 180° , so

∠ C + 40° + 40° = 180°

∠ C + 80° = 180° ( subtract 80° from both sides )

∠ C = 100°

Solution :

It is given that about 37% of the adults say cashew nuts are their favorite nut. And a sample of 12 adults are taken to name their favorite nut.

We note that probability of \($x$\) successes out of \($n$\) trial is given by :

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

Here, number of trails, n = 12

         probability of success, p = 0.37

         number of successes, x = 3

a). Therefore the probability of the adults to say cashew nut as their favorite of exactly three is given by :

\($P(3)=^{12}C_3 (0.37)^3 (1-0.37)^{(12-3)}$\)

        = 0.174217909

b). We know that :

    P(at least x) = 1 - P(at most x - 1)

So we use the cumulative binomial distribution table.

 i.e.   \($P(x \geq 4) = 1 -P(x \leq3)$\)

         \($= -1[P(x=0)+P(x=1)+P(x=2)+P(x=3)]$\)

         \($= 1-[^{12}C_0 (0.37)^0 (0.63)^{12}+^{12}C_1 (0.37)^1(0.63)^{11}+^{12}C_2 (0.37)^2(0.63)^{10}+^{12}C_3(0.37)^3(0.63)^9]$\)= 0.70533

Therefore, P(at least 4) = 0.70533

c). \($P(x \leq 2) = P(x=0) + P(x=1)+P(x=2)$\)

                    \($=^{12}C_0(0.37)^0(0.63)^{12}+^{12}C_1(0.37)^1(0.63)^{11}+^{12}C_2(0.37)^2(0.63)^{10}$\)

                   = 0.12045205

Therefore, P(at most 2) = 0.12045205

Answer:

12.7075

Step-by-step explanation:

Answer:

I would go on quizlet and find the answer

Step-by-step explanation:

Part a

It is a function because each x-value matches with only one y-value.

Part b

No, because the x-values of 3 and -2 both correspond to a y-value of -3.

Answer:

\(\frac{9}{16}\)

Step-by-step explanation:

\((-\frac{3}{4}) ^{2}\)

= - \(\frac{3}{4}\) × - \(\frac{3}{4}\) ← multiply numerators/ denominators

= \(\frac{3(3)}{4(4)}\)

=\(\frac{9}{16}\)