Find the volume of the pyramid

If 7 is less than a number, x, it means that x is greater than 7. The symbol for representing greater than is >

Thus, the inequality that matches the given situation is

x >7

Option c is correct

Answer:

  2/15

Step-by-step explanation:

You want to know the fraction that is 2/3 of 1/5.

In this context, "of" means "times."

  2/3 of 1/5 = (2/3)×(1/5) = (2·1)/(3·5) = 2/15

2/15 of the pets are alley cats.

Answer:

Step-by-step explanation:

17

Let's calculate each of these probabilities and the expected number of seeds germinated.

To solve the given probability problems, we can use the binomial probability formula:

P(x) = C(n, x) * p^x * (1 - p)^(n - x),

where:

P(x) is the probability of exactly x successes,

C(n, x) is the number of combinations of n items taken x at a time,

p is the probability of success in a single trial, and

n is the total number of trials.

Given that the tomato seeds germinate 95% of the time, the probability of success (p) is 0.95. The total number of seeds planted (n) is 25.

a. To find the probability that exactly 15 seeds germinate:

P(x = 15) = C(25, 15) * 0.95^15 * (1 - 0.95)^(25 - 15).

b. To find the probability that 22 or more seeds germinate:

P(x ≥ 22) = P(x = 22) + P(x = 23) + ... + P(x = 25).

c. To find the probability that 23 or fewer seeds germinate:

P(x ≤ 23) = P(x = 0) + P(x = 1) + ... + P(x = 23).

d. The expected number of seeds that germinate (E(x)) can be calculated using the formula:

E(x) = n * p.

Let's calculate each of these probabilities and the expected number of seeds germinated.

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Answer:

I don't think so

Step-by-step explanation:

If I remember (based on memory) it's not equivalent

Reasoning: there's a different amount of Xs

Answer:

Please answer my question if you can, and gl understanding this! <3

Step-by-step explanation:

No, for if we subtract them, when we cancel out the 5x, 2, the integer, will not be equal to 2x, for not only is 2 already there, it is also being multipled by an integer. It possibly can equal though, if x was either 0, or positive 1, but if the x is not given, then no, they're not equivalent.

Answer: 60

Step-by-step explanation:

subtract 24 from 144, then divide each side by 2. x=60

Answer:

3

Step-by-step explanation:

15-2x=3x

or,3x+2x=15

or,5x=15

or,x=15/5

Therefore, x=3.

The population size does not determine the sampling distribution.

In the give question we have to find which choice does not determine the sampling distribution.

We firstly learn more about sampling distribution

A sampling distribution is a probability distribution of a statistic that is derived from a bigger sample size of individuals chosen at random from a given population. The sampling distribution of a particular population is the distribution of frequencies of a variety of potential outcomes for a population statistic.

So, the population size does not determine the sampling distribution.

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Answer:

34.65 mi²

Step-by-step explanation:

Area of parallelogramam = b · h

b = 6.3 mi

h = 5.5 mi

Let's solve

6.3 · 5.5 = 34.65 mi²

So, the area of the shape is 34.65 mi²

Lines 39-70 present the author's argument primarily by:  explaining her reasons for rejecting a technique (option C).

What is a comprehension passage?

In a comprehension passage, some questions are given that follow the passage. The questions are to be answered by using the data given in the passage, even if it differs from real-life facts.

Now, given:

This demonstrates that option C is the best choice above all else.

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Given:

PQRS is a circle, PQT and SRT  are straight lines.

To find:

The value of x.

Solution:

Since PQRS is a circle, PQT and SRT  are straight lines, therefore, PQRS isa cyclic quadrilateral.

We know that, sum of opposite angles of a cyclic quadrilateral is 180 degrees.

\(m\angle SPQ+m\angle QRS=180^\circ\)

\(81^\circ+m\angle QRS=180^\circ\)

\(m\angle QRS=180^\circ-81^\circ\)

\(m\angle QRS=99^\circ\)

Now, SRT  is a straight line.

\(m\angle QRT+m\angle QRS=180^\circ\)             (Linear pair)

\(m\angle QRT+99^\circ=180^\circ\)

\(m\angle QRT=180^\circ-99^\circ\)

\(m\angle QRT=81^\circ\)               ...(i)

According to the Exterior angle theorem, in a triangle the measure of an exterior angle is equal the sum of the opposite interior angles.

Using exterior angle theorem in triangle QRT, we get

\(m\angle PQR=m\angle QRT+m\angle QTR\)

\(x=81^\circ+22^\circ\)

\(x=103^\circ\)

Therefore, the value of x is 103 degrees.

Answer:

34 39/50 or 1739/50 as improper fraction

Step-by-step explanation:

34 is the whole number, and you have .78 left over

.78 is equal to 78/100

when simplified, 78/100 becomes 39/50

Answer is 34 39/50

Thanks for the Brainly points by the way :)

The height of the tower is approximately 336.4 feet. To find the height of the tower, we can use trigonometric ratios in a right triangle formed by the tower, the person's line of sight, and the ground.

Let's label the height of the tower as "h" in feet. We can divide the right triangle into two smaller triangles: one with the angle of elevation of 42 degrees and the other with the angle of depression of 28 degrees.

In the triangle with the angle of elevation, the side opposite the angle of elevation is the height of the tower, h, and the side adjacent to the angle of elevation is the distance from the window to the tower, which is 350 feet. We can use the tangent function to relate the angle of elevation and the sides of the triangle:

tan(42 degrees) = h / 350

Similarly, in the triangle with the angle of depression, the side opposite the angle of depression is also the height of the tower, h, and the side adjacent to the angle of depression is the distance from the window to the tower, which is still 350 feet. Using the tangent function again, we have:

tan(28 degrees) = h / 350

We can solve these two equations simultaneously to find the value of h. Rearranging the equations:

h = 350 * tan(42 degrees)

h = 350 * tan(28 degrees)

Evaluating these expressions, we find that h is approximately 336.4 feet.

Therefore, the height of the tower is approximately 336.4 feet.

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To find the minimum score of the top 2.5% of students, we need to calculate the z-score corresponding to the 97.5th percentile and then convert it back to the original SAT score scale.

First, let's calculate the z-score using the formula:

z = (x - μ) / σ

where x is the SAT score, μ is the mean (1175), and σ is the standard deviation (120).

To find the z-score corresponding to the 97.5th percentile, we need to find the z-score value that leaves 2.5% in the tail of the distribution (to the right).

Using a standard normal distribution table or a statistical calculator, we find that the z-score corresponding to the 97.5th percentile is approximately 1.96.

Now we can solve for x (the SAT score) in the z-score formula:

1.96 = (x - 1175) / 120

Multiply both sides by 120:

1.96 * 120 = x - 1175

235.2 = x - 1175

Add 1175 to both sides:

235.2 + 1175 = x

1410.2 = x

Therefore, the minimum score of the top 2.5% of students is approximately 1410.

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The probability is 3/36.To determine the probability of getting a sum of 4 when rolling two six-sided dice, we need to count the number of favorable outcomes .

Divide it by the total number of possible outcomes. There are three ways to achieve a sum of 4: (1, 3), (2, 2), and (3, 1). Each outcome represents a different combination of the numbers rolled on each die. Now, let's consider the total number of possible outcomes. Since each die has 6 sides, there are 6 possible outcomes for each die. Multiplying these together, we get a total of 6 * 6 = 36 possible outcomes when rolling two dice.

Therefore, the probability of getting a sum of 4 is 3/36, which can be simplified further, but as per the given instruction, we leave the answer as a fraction a/b without simplifying or converting to a decimal equivalent. Thus, the probability is 3/36.

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If f: rn → rm is a linear map, then its derivative is simply the map itself. This is because a linear map is a function that preserves vector addition and scalar multiplication.

In other words, if we take two vectors in the domain and add them together, and then apply the linear map, it is the same as applying the linear map to each vector separately and then adding the results. Similarly, if we multiply a vector in the domain by a scalar and then apply the linear map, it is the same as multiplying the result of applying the linear map to the original vector by the same scalar.
Formally, we can express this idea using the concept of a Jacobian matrix. The Jacobian matrix of a function describes the rate at which the function changes near a particular point. For a linear map, the Jacobian matrix is simply the matrix that represents the map. This means that the derivative of f is the matrix A such that f(x) = Ax for all x in rn.
To see why this makes sense, consider the simplest case of a linear map from R1 to R1, given by f(x) = ax, where a is a constant. The derivative of this function is f'(x) = a, which is just the constant coefficient of the linear map. More generally, the derivative of a linear map f: rn → rm is the matrix A such that f(x) = Ax for all x in rn.

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Answer: The distance between 15 yards to 18 yards is 3 yards.

Step-by-step explanation:

Answer:

exchange 9 with 12

simplyfy both til 1/2*4/3

2/3 finally

Answer:

total surface area = 936 in²

Step-by-step explanation:

total surface area  = surface area of the pyramid + surface area of the cube

1.  surface area of the pyramid = 4 * area of lateral triangle side

area of lateral triangle side = 12 * 9 /

area of lateral triangle side = 54 in²

2. surface area of the pyramid = 4 * 54

surface area of the pyramid = 216 in²

3. surface area of the cube = 5 * (12 x 12)

-surface area of the cube = 720 in²

therefore, the total surface area = 216 in² + 720 in²

total surface area = 936 in²

Answer:

C

Step-by-step explanation:

Please refer to the given picture (sorry, it's a rather bad drawing.)

Anyways, we know that the cube has side lengths of 12. Since the figure is a cube, all the side lengths are 12. Let's find the surface area of the cube first.

The cube has six faces. However, we only need to do five faces because one of the faces is the face that connects the cube to the pyramid. Because of this, we won't count it towards the surface area. Therefore, the total surface area of the cube would be:

\(5(bh)\)

The bh represents the area of one face. The five multiplies that amount by five, giving us the surface area of the cube. Plug in 12 for the base and 12 for the height:

\(5(12)(12)=5(144)=720\)

Therefore, the surface area of the cube (excluding one face) is 720 square inches.

Now, find the surface area of the square pyramid. The square pyramid is composed of four congruent triangles and one square base. Again, since the square base is connecting it to the cube, we won't count it. So, we only need to find the area of the four triangles and then add it to 720.

We are given that the height of the pyramid is 9. The base of all four triangles is 12 (since the side length of the cube is 12). However, to find the area, we first need to use the Pythagorean Theorem to determine x or the actual height of one of the triangles. We won't use 9 as the height because the 9 doesn't represent the height of the triangle, but rather of the pyramid. x is essentially the hypotenuse here. Thus:

Pythagorean Theorem:

\(a^2+b^2=c^2\)

Plug in 9 for a, 12 for b, and x for c:

\(9^2+12^2=x^2\\x^2=81+144=225\\x=\sqrt{225}=15\)

Therefore, the height of the triangles is 15. Now, we can use the area formula for triangles:

\(A=\frac{1}{2} bh\)

The base is 12 and the height is 15. Thus:

\(A=\frac{1}{2}(12)(15)=6(15)=90\)

And there are four of them, so the total surface area is:

\(4(90)=360\)

Therefore, the total surface area of the composite figure (excluding the one face) is:

\((720+360)=1080\text{ in}^2\)

Answer:

$5000 per year

Step-by-step explanation:

Given data

initial value of the computer= $30000

Final value = $0

Duration= 6years

Hence the rate of change in the value per year is

=30000/6

=$5000 per year

The equation for the asymptote of the graphed function is x = 7

The asymptote is a endlessly tendency to a given value. A vertical one is a tendency to infinity.

Here we can see that there is a vertical asymoptote, notice that in one end the function tends to positive infinity and in the other it tends to negative infinity.

The equation of the line where the asymptote is, is:

x = 7

So that is the answer.

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Answer:

She will still need about 450$

Step-by-step explanation:

So from what I have learned, she will need to work in order to get the money, but even when she is working, she may have expenses to pay and she may not make it, but she will because she can do loans and when she earns the money from loans, then she can pay, then she may have left over money she can use while on trip.

we can conclude that a or b, or both must be negative, which means their product can't be zero. Hence, Z is an integral domain

Given hypothesis, H0 : µ = 200, H1 : µ ≠ 200The level of significance is a = 0.01, so α = 0.01.The two-tailed test is used to test the hypothesis.

Therefore, the area in each tail is 0.01/2 = 0.005.Looking up the z-table or using a calculator, the critical values for a two-tailed test at a 0.005 level of significance are -2.576 and 2.576.Thus, the critical values for the hypothesis test are -2.576 and 2.576.An integral domain is a non-zero ring in which the product of any two non-zero elements is also non-zero, that is, there are no divisors of zero.

Therefore, we can conclude that a or b, or both must be negative, which means their product can't be zero. Hence, Z is an integral domain. Proof that (Z5, ⊕, ⊗) is an integral domain: Let a,b ∈ Z5 and a ⊗ b = 0. This implies that either a = 0 or b = 0 or both are zero. Hence, we need to show that if a,b ≠ 0, then a ⊗ b ≠ 0.If a ⊗ b = 0, then a × b ≡ 0 (mod 5) and hence 5 divides a × b. But 5 is a prime number, and a or b or both should be divisible by 5. It implies that a ⊗ b ≠ 0. Therefore, Z5 is an integral domain.

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Answer:

39/5

Step-by-step explanation:

Answer:

Step-by-step explanation:

a1 = 4

a2 = -5(4)-1 = -21

a3 =-5(-21)-1 = 104

a4 = -5(104)-1 =-521

a5 =-5(-521)-1 = 2604

Jenny and Ricky each need to attend 6-sessions for the amount of money they spend on their art-classes to be equal.

Let number of sessions that Jenny and Ricky each have to attend be = "x",

We know that,

⇒ Jenny's art class cost-per-session = $27,

⇒ Jenny's registration fee = $336,

⇒ Ricky's art class cost per session = $35,

⇒ Ricky's registration-fee = $288,

We have to find number of sessions "x" at which total amount of money they spend on their art classes will be equal.

For Jenny:

⇒ Total cost of art classes = (Cost per session) × (Number of sessions) + (Registration fee),

So, Total cost for Jenny = 27x + 336,

For Ricky:

⇒ Total cost of art classes = (Cost per session) × (Number of sessions) + (Registration fee),

So, Total cost for Ricky = 35x + 288,

Equating the two expressions equal to each other,

We get,

⇒ 27x + 336 = 35x + 288,

⇒ 336 = 35x - 27x + 288,

⇒ 336 = 8x + 288,

⇒ 336 - 288 = 8x,

⇒ 48 = 8x,

⇒ 6 = x

Therefore, the number of required art classes are 6 sessions.

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Rounded answers In Your calculations to find missing measures is given below.

Given: a = 8.72, b = 11.1, c = 11.7

Using the Law of Cosines, we can calculate angle A:

A = arccos((b2 + c2 - a2)/2bc)
A = arccos((11.12 + 11.72 - 8.722)/(2*11.1*11.7))
A = arccos(2.61/265.57)
A = arccos(0.00984)
A = 89.8°

Using the Law of Sines, we can calculate angle B:


Using the Law of Cosines, we can calculate side c:

c2 = a2 + b2 - 2abcos(C)
c2 = 8.722 + 11.12

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