The figure below is a rhombus.
x =[?]°

Answer:

8 weeks. 545-225=320. 320÷40= 8

We can turn this into an equation:

545 is the y, 225 is the constant, and 40x is the amount per week.

So lets plug this in:

545 = 40x + 225

Subtract 225 from both sides

320 = 40x

Divide by 40

8 = x

This means that it will take 8 weeks to save enough money.

I hope this helps! :)

It was likely that the person bought a tiny cup of coffee, which could have been regular or decaf, in section (a).

If two events "A" and "B" are such that the occurrence of either one of the two events before the occurrence of another event affects the event occurring later, the probability that event "A" will happen given that the event "B" has occurred is:

\($P(A \mid B)=\frac{P(A \cap B)}{P(B)}$$\)

a) The likelihood that the person bought a small cup, P(S) = 0.34

The likelihood that the person bought a cup of decaf coffee, P(D) = 0.40

b) If the selected individual purchased a small cup then the probability that he/she chose decaf coffee:

\($P(D \mid S) & =\frac{P(S \cap D)}{P(S)} \\\)

\($& =\frac{0.20}{0.34} \\\)

= 0.5882

If it is a tiny cup, the likelihood that someone bought a decaf coffee is 0.5882.

c) If we learn that the selected individual purchased decaf, the probability that small size was selected

\($P(S \mid D) & =\frac{P(S \cap D)}{P(D)} \\\)

= 0.20/0.40

= 0.5000

When compared to the equivalent unconditional probability of part(a),

It was likely that the person bought a tiny cup of coffee, which could have been regular or decaf, in section (a). If the coffee is decaf, there is a chance that the buyer only bought a little cup.

The complete question is:

The accompanying table gives information on the type of coffee selected by someone purchasing a single cup at a particular airport kiosk.

Consider randomly selecting such a coffee purchaser.

a. What is the probability that the individual purchased a small cup? A cup of decaf coffee?

b. We learn that the selected individual purchased a small cup. What now is the probability that he/she chose decaf coffee, and how would you interpret this probability?

c. If we learn that the selected individual purchased decaf, what now is the probability that a small size was selected, and how does this compare to the corresponding unconditional probability of (a)?

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Answer:

x = 5.333 , y= 9.620764575

Step-by-step explanation:

sin(29)/x = sin(90)/11

x = 11* sin(29)/sin(90)

x = 5.333

(5.333)^2 + y^2 = 121

y^2 = 121 - (5.333)^2

y= 9.620764575

Answer: 593.65263641

Answer:

Step-by-step explanation:

base b = 3 cm

height h = 5 cm

volume = (⅓)b²h = 15 cm³

Answer:

I think 15 I am sure

Step-by-step explanation:

The number of insects consumed by pitcher plants is essential for their survival and growth, and it is fascinating to observe this unique aspect of their carnivorous nature.

Pitcher plants are carnivorous plants that trap and digest insects to obtain nutrients. The exact number of insects consumed by pitcher plants in a month can vary depending on factors such as the species of pitcher plant, its size, and the local environment. However, studies have estimated that a single pitcher plant can consume anywhere from a few dozen to hundreds of insects per month.

The mechanism of the pitcher plant is quite interesting. Insects are lured into the plant by its color and sweet-smelling nectar. Once inside, the insect becomes trapped and is unable to escape due to the slippery inner walls of the pitcher. The plant then secretes digestive enzymes that break down the insect's tissues, allowing the plant to absorb the nutrients.

Interestingly, not all insects are consumed by pitcher plants. They tend to prefer smaller insects such as ants and flies, but larger insects such as bees and wasps may occasionally become trapped as well.

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The lower bound of the interval to determine the acceptance or rejection of VP's hypothesis is less than -1.28.

To find out the lower bound of the interval to test the VP's hypothesis we need to perform a one-sample t-test.

We will list the given values first:

Sample size (n) = 90

Sample standard deviation (s) = 32 minutes

Hypothesized mean (μ) = 216 minutes

Significance level (α) =  10 % (0.10)

Sample mean (x) = 206 minutes

Calculation of t-value by using the formula:

t = (x - μ) / (s / √n)

We will substitute the known values in the above formula.

t = (206 - 216 ) / (32 / √90)

t = -10 / (32 / √90)

t = -10 / (32 - 9.487)

t ≈ -2.77

We will find the critical t-value from the t-distribution table.

As we want the lower bound, we need to search for the critical value that leaves a 10 % probability in the left tail of the distribution table.

As the significance level is 10% the critical value will be -1.28.

We have to compare the t-value calculated before with the critical t-value to find out the acceptance or rejection of VP's hypothesis.

Suppose the calculated t-value is less than the critical t-value we will reject the VP's hypothesis.  

Whereas if the calculated t-value is greater than the critical t-value then we accept the VP's hypothesis.

For the given question the calculated t-value is less than the critical t-value. (-2.77 < -1.28 )

So the rejection of VP's hypothesis takes place.

So the lower limit for the interval to determine the acceptance or rejection of VP's hypothesis is -1.28.

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The length of the rectangle is approximately 41.34 inches.

Let's assume the width of the rectangle is represented by the variable w. According to the given information, the length of the rectangle is four less than twice the width, which can be expressed as 2w - 4.

The perimeter of a rectangle is calculated by adding the lengths of all four sides. In this case, the perimeter is given as 128 inches. Since a rectangle has two pairs of equal sides, we can set up the equation:

2w + 2(2w - 4) = 128.

Simplifying the equation, we get:

2w + 4w - 8 = 128,

6w - 8 = 128,

6w = 136,

w = 22.67.

So, the width of the rectangle is approximately 22.67 inches. To find the length, we can substitute this value back into the expression 2w - 4:

2(22.67) - 4 = 41.34.

Therefore, the length of the rectangle is approximately 41.34 inches.

In summary, the length of the rectangle is approximately 41.34 inches. This is determined by setting up a system of equations based on the given information: the perimeter of the rectangle being 128 inches and the length being four less than twice the width.

By solving the system of equations, we find that the width is approximately 22.67 inches, and substituting this value back, we obtain the length of approximately 41.34 inches.

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Answer:

-10 degrees celsuius is less than - 20 degrees its cold but not as cold as -10

Step-by-step explanation:

Answer:

- 30 degrees

Step-by-step explanation:

- 30 degrees

Let's look at this flipped

When the temperature is higher, the weather is hotter.

The same rule applies for the cold. When the temperature is lower, the weather is colder.

Hope this helps!

Answer:

xy.

..

..

..

..

hope it helps

The value of x is 10

The perimeter of the triangle is 30 units

An equilateral triangle can be defined as a triangle which has all its sides equal or congruent to each other.
The properties of an equilateral triangle includes;

From the information given, we have the sides as;

Since all of its sides are equal, we have to  equate two side, we have;

x + 5 = 2x - 5

collect like terms

x - 2x = -5 - 5

subtract the like terms

-x = -10

make 'x' the subject

x = 10

But the perimeter of an equilateral triangle = 3a = 3(10) = 30 units

Thus, the value is 10

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Answer:

A and D

Step-by-step explanation:

34 * 4 = 136   136 > 10

3 * 4 = 12   12 > 10

In triangle ΔABC, with D as a point on AB such that AD = BD = CD = 5, and AB = 6, the length of AC can be found using the Pythagorean theorem. The value of AC is √11.

Let's consider triangle ΔABC with sides AB, BC, and AC. We know that AD = BD = CD = 5, and AB = 6. Since AD = BD, triangle ΔABD is isosceles, and ∠ADB = ∠ABD. Similarly, since BD = CD, triangle ΔBCD is isosceles, and ∠BDC = ∠BCD.

Let's denote the length of AC as x. Now, in triangle ΔADC, using the Pythagorean theorem, we can write:

AC² = AD² + CD²

x² = 5² + 5²

x² = 25 + 25

x² = 50

To find the value of x, we take the square root of both sides:

x = √50

Simplifying the square root, we can write:

x = √(25 * 2)

x = √(5² * 2)

x = 5√2

Therefore, the length of AC is √11.

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Answer: area=8cm

Step-by-step explanation:

Answer:

a) Area of shape = 8 square cm.

Step-by-step explanation:

Area of composite shape:

      Area of shape = area of rectangle + 2* area of triangle

         l = 3 cm ; w = 2 cm

\(\sf \boxed{\text{Area of rectangle = l *w}}\)

                             = 3 * 2

                             = 6 cm²

Triangle:

     b = 2 cm

     h = 1 cm

\(\sf \boxed{\text{Area of triangle=$\dfrac{1}{2}*b*h$}}\)

                         \(\sf = \dfrac{1}{2}*2*1\\\\\\ = 1 \ cm^2\)

Area of two triangles = 2 *1

                                    = 2 cm²

Area of shape = 6 + 2

                        = 8 cm²

b) Area of rectangle ABCD = 4 * 2

                                             = 8 cm²

Answer:

Step-by-step explanation:

when both are 0, because that means that the graph goes trough the origin so the x-intercept is at (0,0) and the y-intercept is at (0,0)

Answer: The slope is m = -\(\frac{4}{3}\)

Step-by-step explanation:

Answer: - 4,3

Step-by-step explanation:

The required probability for three numbers rolled on the dice are the sides of a triangle is 31/36.

The area of mathematics known as probability studies potential outcomes of events as well as their relative probabilities and distributions. It is based on the likelihood that something will occur. The justification for probability serves as the main foundation for theoretical probability.

Here,

When three dice are rolled, there are 63=216 possible outcomes, or triplets (x, y, z).

Once more, in a triangle, any two sides added together are larger than the third side, or (x+y)>z.

As a result, 186 outcomes or triplets are possible and satisfy this property.

Hence, the required probability is 186/216=31/36.

The required probability is 31/36 for three dice rolls to produce triangle sides.

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Answer:

no, because the first=12-x

and the second=-1x+2

Step-by-step explanation:

Answer:

No, they are not equivalent.

Step-by-step explanation:

First, we simplify the two expressions.

3(4 - x) = 12 - 3x  We multiply everything inside the bracket by 3.

6(x + 2) - 7x = 6x + 12 - 7x = 12 - x  Using BODMAS/BIDMAS, we first multiply everything in the brackets by 6 and then simplify.

If we compare 12 - 3x to 12 - x, we can clearly notice that they aren't equivalent. If they were to be equivalent, they would have to be exactly the same values as each other. The 12 is common in both expressions, but the -3x and -x differ, therefore the following two expressions aren't equivalent.

I hope this helps!! ^-^

The change in elevation of the car is 0.66mile.

Now, According to the question:

Trigonometric functions are immensely useful when real-life examples form a right triangle. In such cases, sine, cosine, or tangent functions are used based on the given information to determine the unknown value. For example, suppose we are looking at the top of a building and we know the height of the building and our distance from the base of the building, using the tangent function, we can easily calculate the angle made by the line of sight above the ground.

d = 4 miles is the distance covered by the car on the inclined road.

θ = 9.5° is the angle made by the road above the horizontal.

Let:

h be the change in elevation of the car.

Using the sine function, we write:

\(sin\theta= \frac{opposite side}{hypontenuse}\)

\(sin\theta =\frac{h}{d}\)

h = dsinθ

h = (4 mile)(Sin(9.5°))

h ≈ 0.66 mile

Therefore, the change in elevation of the car is 0.66mile.

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Answer:

Lucifer

Step-by-step explanation:

But a lot thinner

Answer:

The above one

The formula should be the same. most likely

Answer:

20%

Step-by-step explanation:

First, add 1,200, and 300. That gives you 1,500. You want to find how much percent of 1,500 equals 300, and that is 20%.

Answer:

25%

Step-by-step explanation:

1. You have a total of 1,200 students and a fraction of them did not wear their school colors, 300 students.

2. You would write the fraction \(\frac{300}{1200}\).

3. After you divide or simpify  \(\frac{300}{1200}\) you get \(\frac{1}{4}\).

4. To get a percent you multiply by 100, so \(\frac{1}{4}\) times 100 is equal to 25.

The expression to represent the Perimeter of the Rectangle will be: 6x - 28

In the given question, we have to find out the equation that represents the perimeter of the Rectangle. It is given that the breadth/width of the rectangle is twice the length when decreased by 7. So, taking the length as 'x' we get:

=> Length = x

=> Breadth = 2(x -7)

Now, We know that formula to calculate the Perimeter of the Rectangle is:

                  => P = 2(l + b)

Putting values of l and b, we get:

               => P = 2(l +b)   => P = 2[x +2(x -7)]

               => P = 2(x + 2x - 14)  =>  P = 2(3x -14)

               => P = 6x -28

We get the Perimeter of Rectangle P = 6x -28

Hence, the expression P = 6x -28 represents the Perimeter of the Rectangle.

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Answer:

See below.

Step-by-step explanation:

Part A: The higher the temperature in the city, the number of lemonades sold increases.

Part B: The line of best fit is a line that will have the same amount of point on each side so you should draw a straight line and then make sure it has the same amount of point on each side. To calculate the slope use Y^2-Y^1/X^2-X^1.

The equation(rounded) would be y=0.28x-5.65

-hope it helps

Answer:

the only left one is the distance or radius so to find this find under square root (x2-x1)²+(y2-y1)² then you gate r=5,R²=25 so the correct answer is d

Answer:

6 x 1100% = $66

Step-by-step explanation:

Answer:

(B) Two number is the answer of your question.

Answer:

Step-by-step explanation:

look at picture