cho khối chóp có diện tích đáy B=3 và chiều cao h=4. Thể tích của khối chóp đã cho bằng
A.6
B.12
C.36
D.4

The probability that a student in Mr. Meyers' class has been to either Mexico or Canada is 0.48 or 48%.

To find the probability that a student in Mr. Meyers' world history class has been to either Mexico or Canada, we can use the formula:

P(M or C) = P(M) + P(C) - P(M and C)

where P(M) is the probability of a student having gone to Mexico, P(C) is the probability of a student having gone to Canada, and P(M and C) is the probability of a student having gone to both Mexico and Canada.

Given that P(M) = 0.26, P(C) = 0.30, and P(M and C) = 0.08, we can substitute these values into the formula:

P(M or C) = 0.26 + 0.30 - 0.08

P(M or C) = 0.48

This means that almost half of the students in his world history class has visited either Mexico or Canada.

It's important to note that this calculation assumes that there are only two possible outcomes for a student's travel history: either they have been to Mexico, or they have been to Canada. If there are other possible countries that students may have visited, this calculation may not provide an accurate estimate of the probability.

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Answer:

Explanation:

4! = 4×3×2×1 = 24

here's an example:

It takes 30 hours using the hose alone to fill the swimming pool.

Step 1: Make denominators the same

Step 2: Add or Subtract the numerators (keeping the denominator the same)

Step 3: Simplify the fraction

To add or subtract unlike fractions, the first step is to make denominators the same so that numerators can be added just like we do for like fractions.

Let \(x\\\) represent the swimming pool be filled with hose alone.

Given that using the pipe alone it takes 12 hours. using both it takes 8 4/7 hours. According to given condition,

\(\frac{1}{x} + \frac{1}{12} = \frac{1}{8\frac{4}{7} } \\\frac{1}{x} = \frac{1}{\frac{60}{7} } - \frac{1}{12}\)

\(\frac{1}{x} = \frac{7}{60} - \frac{1}{12}\\\\ \frac{1}{x} = \frac{7}{60} - \frac{5}{60}\\\\\frac{1}{x} = \frac{2}{60}\\\\ x = \frac{60}{2}\\\\\\ x= 30\)

It takes 30 hours using the hose alone to fill the swimming pool.

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Answer:

76 and 77 are the locker numbers.

Step-by-step explanation:

Let the number be x and (x + 1)

The sum of two consecutively number is 153

Now,

x + (x + 1) = 153

x + x + 1 = 153

2x + 1 = 153

Now, subtract 1 from both side we get,

2x + 1 - 1 = 153 - 1

2x = 152

Now, divide by 2 from both side we get,

2x/2 = 152/2

x = 76

Here, The value of x is 76

Now, the first number = x = 76 and the Second number = (x + 1) = 76 + 1 = 77

Thus, 76 and 77 are the locker numbers.

x + (x + 1) = 153

76 + (76 + 1) = 153

153 = 153

L.H.S = R.H.S

Hence Proved!

-TheUnknownScientist 72

The two numbers which are consecutive and have a sum of 153 are 76 and 77.

Given data:

Let's denote the two consecutive locker numbers as "x" and "x+1". According to the problem, the sum of these two numbers is 153, so we can write an equation:

x + (x+1) = 153.

Simplifying this equation, we combine the "x" terms:

2x + 1 = 153

Now, we subtract 1 from both sides of the equation:

2x = 152

To find the value of "x", we divide both sides by 2:

x = 76

So, one locker number is 76, and the consecutive locker number is 76+1 = 77.

Hence, the two locker numbers are 76 and 77, and their sum is indeed 153, as required by the problem. This solution satisfies the condition of consecutive locker numbers and their sum.

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The answer above is correct, i got it right on the test!

Answer:

That is correct

Step-by-step explanation:

You will need amount of 1.5 cups of butter if you plan to use 3 cups of flour in your recipe.

To calculate how much butter is needed for 3 cups of flour in a recipe, start by identifying that the recipe requires a ratio of 1 cup of butter for every 2 cups of flour. To get the amount of butter needed for 3 cups of flour, multiply 1 cup of butter by 1.5. This will give you 1.5 cups of butter, which is the amount needed for 3 cups of flour.  Therefore, you will need 1.5 cups of butter if you plan to use 3 cups of flour in your recipe.  To ensure accuracy, it is recommended to measure the ingredients carefully and double check your calculations before proceeding.

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Answer:

-2

Step-by-step explanation:

3n+2n+4=9n+12

5n+4=9n+12

5n-9n=-4+12

-4n=8

n=8/-4

n= -2

Answer:

-2

Step-by-step explanation:

I got this right in my assignment.

Answer:

Very tough question. Oh I was just kidding but first increase points then I will answer

The statement 3 more than 7 means, a number is 3 more than a given number. Since here the number is 7 so the required number will be 7+3= 10

In numerical more than simply refers to adding and less than refers to subtracting. If it is given that a number let's say Z is Y more than X then the value will be Z= X+Y

If a given number let's say Z is Y less than X then the value of Z will be

Z=X-Y

More than means add which gives us a bigger value. Less than means subtract which gives us a smaller value

So, 3 more than 7 means 7+3 = 10

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Answer:

B - A = 1

Step-by-step explanation:

A = 2/4

B = \(1\frac{2}{4} = \frac{6}{4}\)

\(B - A = \frac{6}{4}-\frac{2}{4}\\\\ =\frac{6-2}{4}\\\\=\frac{4}{4}\\\\=1\)

The terminal point P(x, y) on the unit circle determined by t = 4π is P(1, 0).

To find the terminal point P(x, y) on the unit circle determined by the value of t, we can use the parametric equations for points on the unit circle:

x = cos(t)

y = sin(t)

In this case, t = 4π. Plugging this value into the equations, we get:

x = cos(4π)

y = sin(4π)

Since cosine and sine are periodic functions with a period of 2π, we can simplify the expressions:

cos(4π) = cos(2π + 2π) = cos(2π) = 1

sin(4π) = sin(2π + 2π) = sin(2π) = 0

Therefore, the terminal point P(x, y) on the unit circle determined by t = 4π is P(1, 0).

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The sample mean is X[bar]=$1500

The sample standard deviation is S=$100

The sample size is n=70

The data set has a bell shaped distribution

The empirical rule states that

The values $1400 and $1600 are within one standard deviation away from the mean:

X[bar]+S=$1500+$100=$1600

X[bar]-S=$1500-$100=$1400

Following the rule you can expect 68% of the sample to be between them.

Whats left to do is to calculate the 68% of the sample

Around 47.6 of the farms have values per acre are between $1400 and $1600

A standard normal distribution is a normal distribution with a mean of zero and a standard deviation of one. Option A is the correct answer.

The standard normal distribution, often known as the z-distribution, is a special sort of ordinary distribution with a mean of zero and a standard deviation of one. Option A is the correct answer.

Any normal distribution can be standardized through transforming its values into z scores. The Z scores indicate how many standard deviations a certain result is from the mean. All normal distributions are unimodal, symmetrically distributed, and have a bell-shaped curve. One such distribution is the common normal distribution. On the other hand, a normal distribution's mean and standard deviation can be any value. In the typical normal distribution, the mean and standard deviation remain constant.

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A standard normal distribution is a normal distribution with a mean of zero and a standard deviation of one.

A standard normal distribution, also known as the Z-distribution, is a specific type of normal distribution. It has a mean of zero and a standard deviation of one. The Z-distribution is often used in statistics to standardize data and calculate probabilities.

The standard normal distribution is represented by a bell-shaped curve that is symmetric around the mean of zero. The area under the curve represents the probability of a random variable falling within a certain range.

The Z-score, which measures the number of standard deviations a data point is from the mean, is commonly used in hypothesis testing and confidence interval calculations.

The standard normal distribution is widely used in various fields, including finance, psychology, and quality control.

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At a significance level of 5%, with a sample size of 800 items produced on a new machine and 48 of them being defective, the null hypothesis is that the proportion of defective items is not significantly more than 5%, while the alternative hypothesis is that it is significantly more than 5%. The level of significance is 0.05. Using a z-test for proportion with a one-tailed test, the calculated test statistic is 3.45. Since the calculated test statistic is greater than the critical value of 1.645, we reject the null hypothesis. Therefore, there is enough evidence to get rid of the machine.

Null Hypothesis: p = 0.05

Alternative Hypothesis: p > 0.05

Level of Significance: α = 0.05

Sample Size: n = 800

Number of Defective Items: x = 48

Sample Proportion:P= x/n = 48/800 = 0.06

Since the sample size is large, we can use the normal distribution to approximate the binomial distribution.

Test Statistic: z = (P - p) / sqrt(p * (1 - p) / n)

Under the null hypothesis, the test statistic follows a standard normal distribution.

Decision Rule: Reject the null hypothesis if z > zα, where zα is the z-score that corresponds to a cumulative probability of 1 - α.

From the standard normal distribution table, we have:

zα = 1.645

Computation:

z = (0.06 - 0.05) / sqrt(0.05 * 0.95 / 800) = 1.33

Since z (1.33) is less than zα (1.645), we fail to reject the null hypothesis.

Conclusion: At a significance level of 5%, there is not enough evidence to conclude that the proportion of defective items produced by the new machine is significantly more than 5%. Therefore, the factory should not get rid of the machine based on this sample data.

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Triangles

Looking at the image, It is safe to say there are two similar triangles having similar base and sides there.

Triangle BAC has the same base as Triangle DAC

Therefore, the vertices of the angle B is equivalent to the vertice of angle D

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Answer:

Slope of 2

Step-by-step explanation:

Going up by six and right by three which is 6/3 which equals 2.

Answer:

2

Step-by-step explanation:

The slope is rise over run. The rise is 2 and the run is 1. The slope is 2/1=2

You could also use the slope formula. y2-y1/x2-x1. This will give you 3-(-3)/0-(-3). This will be 3+3/0+3. The result is 6/3 which reduces to 2/1 which is 2. :)

Answer:

G

Step-by-step explanation:

Please let me know if you want me to add an explanation as to why this is the answer. I can definitely do that, I just wouldn’t want to write it if you don’t want me to :)

Answer:

2.3 yards

Step-by-step explanation:

\(\frac{83 in}{\frac{12 in}{3 in} } =2.3\)

Answer:

See below:

Step-by-step explanation:

Hello! My name is Galaxy and I'll be helping you with your problem! Feel free to ask me any questions in the comments if you need it!

We can solve the problem by knowing the following: Conversions and Solving. I'll start off with Conversions.

Conversions

We can convert the inches to yards by knowing our conversion rates, they are the following:

1 yard = 3 feet.

1 feet = 12 inches.

We can use these factors to solve the problem.

Solving

We can solve the problem by using our base value, inches, and building up from it, to get to yards, we can split 83 into groups of 36 as there are 36 inches in one yard.

\(1yd=3ft=36in\)

Now that we know that, 83 is equal to 36+36+11

We have two groups of 36 so we know right now it is 2 yards and 11 inches.

If we don't want it to be precise and not in decimals, that would be our answer, but, if we want it in precise terms, we have to go deeper.

Since we know its 2 yards and 11 inches, we can convert our 11 inches to yards by dividing it by 36.

Leading to that gives us:

\(2\frac{11}{36}\) yards is equal to 83 inches.

If we want it as a decimal, it keeps on going but its ~ 2.305556 or rounded down to 2.3 yards!

Cheers!

The critical value of t for a two-tailed test with 6 degrees of freedom using α = .05 is b. 2.447.

The critical value of t for a two-tailed test with 6 degrees of freedom using a significance level (α) of .05 can be found using a t-distribution table. In this case, the critical value of t would be approximately 2.447.

This means that if the calculated t-value from your experiment is greater than 2.447 in either direction (positive or negative), it would indicate that the null hypothesis can be rejected and that there is a statistically significant difference between the means of the groups being compared.

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Step-by-step explanation:

4 letters per die.

the hidden meaning is that each die has a different set of 4 letters, right ?

CAT and TAP tell us that one die has C and P.

TAP and APE tell us that one die has E and T.

the third one has A.

APE tells us that the vowels are on at least 2 different dice.

PEG tells us that the die with A also has G.

so, CAT, PEG, TAP, APE are fully used.

we need to focus on the remaining words SON, POD, RIG, DIN. we start with POD and RIG, as we have at least 1 letter already fixed to a die.

die 1 : C P R N

die 2 : E T O I

die 3 : A G D S

POD means O on die 2 and D on die 3 or vice versa.

RIG means R in die 1 and I on die 2 or vice versa.

that means die 2 is "full". no other letter can be in that die.

let's assume D is on 3 (so, O on die 2) and I on die 2 (so, R on die 1), then DIN means N is on die 1 or die 2.

as die 2 is already full, N must be on die 1.

that makes die 1 "full".

and we are left with SON, which fits with the other assumptions for O and N, leaving S as last letter for die 3.

see list above. this is definitely a valid solution.

let's see if there are others.

we flip the first assumption and put D on die 2 and O on die 3.

die 1 : C P I S

die 2 : E T D R

die 3 : A G O N

but now, as we cannot put R or I of RIG on die 3 (because G is already there), we have to put R on die 2 (otherwise D and I of DIN would be on the same die), and we are left with S or N of SON to put on die 3. but O is in this scenario already on die 3. so, this assumption leads us to an impossible scenario.

that means O has to be on die 2 and D on die 3.

so, let's flip the second assumption and put I of RIG on die 1 and R on die 2.

die 1 : C P I S

die 2 : E T O R

die 3 : A G D N

as the O is on die 2, die 2 is "full" abs we would have to put either I or N of DIN on die 3. which is in conflict with the D that's already there.

again, an impossible scenario.

that means R has to be in die 1 and I on die 2.

again, die 2 is "full".

and for SON we can now only put N on die 1, because on die 3 it would be in conflict with the D.

so, indeed, our first scenario is the only possible solution.

Answer:

Step-by-step explanation:

You want to know the letters on each of three 4-sided dice, given that on different rolls they can spell the words CAT, SON, POD, RIG, PEG, TAP, DIN, APE.

We can arbitrarily assign the letters CAT to dice 2, 1, 3. This forces assignment of other letters so that we have on the three dice ...

Looking at the remaining letters, we can draw a compatibility table as at the bottom of the attachment. Letters are not compatible if they show up in the same word. They are not compatible with a die if letters from that die are in the same word.

This shows that letters DNOS are not excluded from being assigned to die 1. However, the only compatible pair of letters in that group is DS, making ...

  die 1 = ADGS

This leaves letters INR not excluded from die 2. However, the only compatible pair in this group is NR, making ...

  die 2 = CNPR

The remaining letters IO are compatible with each other, making ...

  die 3 = EIOT

Answer:

10

Step-by-step explanation:

Answer:

Step-by-step explanation:

f(x) = x2  ...  when 'x' is equal to 5

So...

1.) Plug in 5 for the variable 'x'

f(5) = (5) * (2)

2.) Simplify both sides of the equation

5f = 10

3.) Divide both sides by 5

5f /5  =  10/5

f = 2

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Hope I helped!!!

GL :)

y= 3/2 x+ 3 and 3x-2y=-6

Step-by-step explanation:

□y = -3/2x-9

□y=3x+3

□3x+2y=-9 = y=-9/2 -3/2x

□y=3/2x+3 correct

□3x-2y=-6 = y=3+ 3/2x correct

□2/3x +3

Answer: its 40 because its a whole number

Step-by-step explanation:

Answer:

33.33%

Step-by-step explanation:

We know that:

At her four month weighs: 18 pounds.

Six month later weighs: 24 pounds.

So, the baby increased 6 pounds. But, what percentage represents?

To solve this problem we use the rule of three:

If 18 pounds represents 100%, 24 pounds what percentage would be?

So, if we subtract 100%-133.33%, we have a 33.33% more. This means that the baby increased a 33.33% during those six months.

Answer:A, 52

Step-by-step explantion:

Answer:

6

Step-by-step explanation:

On the coordinate plane, it shows that the y axis is 6. Therefore, (16, 6)

Answer:

5

Step-by-step explanation:

Answer:

Step-by-step explanation:

When you multiply radicals together, the only rule that needs to be followed is that the index is the same on both. These are both square roots (so the index is a 2 on each radical) so we can multiply the radicals together to get 5√66.  That does not simplify at all and is irrational (since the decimal goes on without repeating)

Answer:

3.5

Step-by-step explanation:

The chemical acidity of a solution is measured in units of pH: pH=-log[H+], where [H+] is the hydrogen ion concentration in the solution. 1.58 x 10⁻⁹ is [H+] if the pH=8.8.

The term pH is defined as the negative logarithm of the [H+] hydrogen ion.

The isolated hydrogen ion, represented by the symbol H+, hence it is used to represent a proton. Because the bare nucleus can readily combine with other particles like electrons, atoms, and molecules, the  hydrogen ion.

The formula for calculating [H+] hydrogen ion is as follows:

pH = - log[H+]

Given pH = 8.8

8.8 = - log[H+]

-8.8 =  log[H+]

Taking Antilogarithm Both side

Antilog of [-8.8] = [H ]

By solving above expression [H+]

= 1.58 x 10⁻⁹

Thus, 1.58 x 10⁻⁹ is [H+] if the pH=8.8.

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