vanessa has 24 marbles. she gives 3/8 of the marbles ti her brother cisco. if you divide vanessas marbles into 8 equal groups , how many are in each group ? how many marbles does vanessa give to cisco ? explain.

SOLUTION:

Case: Percentage

Given: Frequency table

Required: To find the percentage of the students in grades 9–10 like rap music

Method:

Step 1: First we find the total number of people in grades 9–10.

We see clearly from the tables that 125 students are in grades 9–10.

Step 2: Next we find the number of people in grades 9–10 who like rap music.

There are 40 students in grades 9–10 who like rap music.

Step 3: We express as this as a percentage of the whole

This is 32% of the students in grades 9-10.

Final answer:

32% of students of the students in grades 9–10 like rap music

Answer:

Step-by-step explanation:

substitution.

it will be easier to use this method since we are given what x is.

5(-3)+y=8

-15+y=8

y=23

x=-3

Answer:

182

The number of permutations of 14 things taken 2 at a time is ...

 14P2 = 14·13 = 182

The first color can be any of the 14 on the palette. The second color must be different, so can be any of the remaining 13.

___

We assume that a "yellow/red" flag is different from a "red/yellow" flag. That is, order matters.

Answer:

x = \(\frac{5}{8}\)

Step-by-step explanation:

Given

- 4(3 + x) + 5 = 4(x + 3) ← distribute parenthesis on both sides

- 12 - 4x + 5 = 4x + 12 , that is

17 - 4x = 4x + 12 ( subtract 4x from both sides )

17 - 8x = 12 ( subtract 17 from both sides )

- 8x = - 5 ( divide both sides by - 8 )

x = \(\frac{-5}{-8}\) = \(\frac{5}{8}\)

Answer:

y = 3x + 1

Step-by-step explanation:

The equation for slope-intercept form is y=mx+b, where m is the slope and b is the y-intercept.

The resultant component of the vector addition is (-9, 0).

The resultant component of the vector is calculated as follows;

a = (-9, 6)

b = (3, 1)

The result of 1/3a = ¹/₃ (-9), ¹/₃(6) = (-3, 2)

The result of 2b = 2(3, 1) = (6, 2)

The result of the vector addition is calculated as follows;

1/3a - 2b

= (-3, 2) - (6, 2)

= (-3 -6, 2 -2)

= (-9, 0)

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The measure of CFD is 66°.

It should be noted that vertically opposite angles are equal.

Therefore, AFE may be equal to BFD.

In this case, AFE is given as 108° while one of the other angles is given as 42°.

Therefore, the value of CFD will be:

= 102° - 42°

= 66°

The value of CFD is 66°.

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correct option is d. -4x⁵+7x⁴-x³+3x²+10x+14. The leading coefficient is -4.

The given polynomial is -x³+10x-4x⁵+3x²+7x⁴+14.

To write the polynomial in standard form, we write the terms in decreasing order of their exponents i.e. highest exponent first and lowest exponent at last.-4x⁵+7x⁴-x³+3x²+10x+14

Hence, the correct option is d.

-4x⁵+7x⁴-x³+3x²+10x+14. The leading coefficient is -4.

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Answer:

Explanation:

We want to write 47 in base 3

To do this, we follow the steps below:

47/3 = 15 Remainder 2

15/3 = 5 Remainder 0

5/3 = 1 Remainder 2

1/3 = 0 Remainder 1

Now, to base 3, we write the remainders, starting from the last one to the first one.

The expression "x - y + z" can be simplified and rearranged using the associative property and commutative property of addition. Let's break it down step by step:

1. x - y + z

According to the associative property of addition, the grouping of terms does not affect the result when only addition and subtraction are involved. Therefore, we can choose to group "y" and "z" together:

2. x + (-y + z)

Next, using the commutative property of addition, we can rearrange the terms "-y + z" as "z + (-y)":

3. x + (z + (-y))

Now, we have the expression "x + (z + (-y))". According to the associative property of addition, we can group "x" and "z + (-y)" together:

4. (x + z) + (-y)

Finally, we can rewrite the expression as "(x + z) - y", which is equivalent to "(x - y) + z":

5. (x + z) + (-y) = (x - y) + z

Therefore, "x - y + z" is indeed the same as both "x - (y + z)" and "(x - y) + z" due to the associative and commutative properties of addition.

Answer:

x=-6

Step-by-step explanation:

The combination that best describes the process is Cp = 1 and Cpk = 1, as it indicates that the process has the potential capability to meet the specification limits and is centered within the limits.

We have,

To determine which combination of Cp and Cpk values best describes a process, we need to understand the definitions and interpretations of Cp and Cpk.

Cp is a capability index that measures the potential capability of a process to meet the specification limits.

It compares the spread of the process variation to the width of the specification range.

A Cp value of 1 indicates that the process spread is equal to the specification width, while values greater than 1 indicate that the process spread is smaller than the specification width, indicating a more capable process.

Cpk, on the other hand, is a capability index that considers both the process spread and the process centering relative to the specification limits. It measures the actual capability of the process to meet the specification limits.

A Cpk value of 1 indicates that the process is centered within the specification limits and meets the requirements, while values less than 1 indicate that the process is not centered or does not meet the requirements.

Given the options provided:

Cp = 0.75 and Cpk = 0.75:

Both Cp and Cpk are less than 1, indicating that the process is not capable of meeting the specification limits.

This combination does not best describe the process.

Cp = 1 and Cpk = 1:

Both Cp and Cpk are equal to 1, indicating that the process has the potential capability to meet the specification limits and is centered within the limits.

This combination represents an acceptable level of process capability.

Cp = 1.5 and Cpk = 2.0:

Cp is greater than 1.5, indicating a smaller process spread compared to the specification width. Cpk is greater than 1, indicating that the process is centered within the limits and meets the requirements.

This combination represents a highly capable process.

Cp = 1 and Cpk = 0.5:

Cp is equal to 1, indicating that the process has the potential capability to meet the specification limits.

However, Cpk is less than 1, indicating that the process is not centered within the limits and does not meet the requirements.

This combination does not best describe the process.

Cp = 1.5 and Cpk = 0.5:

Cp is greater than 1.5, indicating a smaller process spread compared to the specification width.

However, Cpk is less than 1, indicating that the process is not centered within the limits and does not meet the requirements.

This combination does not best describe the process.

Thus,

The combination that best describes the process is Cp = 1 and Cpk = 1, as it indicates that the process has the potential capability to meet the specification limits and is centered within the limits.

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Answer:

If the left side of the big rectangle is 2m then the right side should be the same. We have 4m

If the bottom of the big rectangle is 9 then the top should also be 9. We now have 22m.

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The left side of the small rectangle is 2m then so should the right be also 2m. We have 4m.

The top is 3m so the bottom should also be 3m we now have 10m

----------------------------------------------------------------------------------------------------------

If you add 10 + 22 you get 32. 32 is your answer :)

Step-by-step explanation:

Answer:

The +1 in f(x) is the y intercept

The +1 in g(x) is the y coordinate of the vertex

Step-by-step explanation:

For f(x), plugging in x = 0 leads to

f(x) = 2x^2+5x+1

f(0) = 2(0)^2+5(0)+1

f(0) = 1

Showing that (0,1) is the y intercept of f(x).

The same is not true for g(x)

g(x) = 2(x+5)^2+1

g(0) = 2(0+5)^2+1

g(0) = 51

-------------------------------

The +1 for g(x) represents the y coordinate of the vertex. Recall that vertex form in general is

y = a(x-h)^2+k

with (h,k) being the vertex. This means we can quickly spot the vertex for g(x) without having to graph. The same cannot be said for f(x) as we need to complete the square to get f(x) into vertex form. Currently, f(x) is in standard form.

The 3 combinations of coins with the value of 30% of a dollar are 2 dimes + 1 Nickel + 5 Pennies, 1 dime + 2 Nickels + 10 Pennies, 3 Nickels + 1 dime + 5 Pennies.

How many types of coins are there?

There are 4 types of coins. They are Quarter, Nickel, dime, and Penny.

1 Quarter = 25 cent

1 dime = 10 cents

1 Nickel = 5 cents

1 penny = 1 cent

Now calculate 30 percentage of a dollar.

1 dollar = 100 cents.

30% of 100 cents = (30/100) × 100 = 30 cents.

2 dimes + 1 Nickel + 5 Pennies = 20 cents + 5 cents + 5 cents = 30 cents

1 dime + 2 Nickels + 10 Pennies = 10 cents + 10 cents + 10 cents = 30 cents

3 Nickels + 1 dime + 5 Pennies = 15 cents + 10 cents + 5 cents = 30 cents

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If the expression be 23 x² + 3x + 8 then the constant exists 8.

The addition, subtraction, multiplication, and division arithmetic operators are used to write a group of numbers together to form a numerical statement in mathematics. The expression of a number can take on various forms, including verbal form and numerical form.

A mathematical expression is a finite combination of symbols that is well-formed in accordance with context-specific norms.

A mathematical expression is a phrase that includes at least two numbers or variables, at least one arithmetic operation, and the expression itself. Any one of the following mathematical operations can be used. A sentence has the following structure: Number/variable, Math Operator, Number/Variable is an expression.

During the course of a program's execution, a constant's value cannot change. As a result, the value is constant, as implied by its name. During the course of a program's execution, a variable's value can change. As a result, the value might change, as implied by its name.

Let the expression be 23 x² + 3x + 8

then the constant exists 8.

Therefore, the correct answer is option C. 8.

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The precision of the estimate decreases when standard error of an estimate when the sample size in a SRS decreases. So, the correct answer is D).

The standard error of an estimate measures the variability of sample means around the population mean. As the sample size in a simple random sample (SRS) decreases, the sample mean becomes less representative of the population mean, resulting in more variability or less precision in the estimate.

The standard error increases as the sample size decreases because there is more uncertainty in the estimate due to the smaller sample size. Therefore, decreasing the sample size will increase the margin of error and decrease the precision of the estimate. So, the correct option is D).

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The value of g(12) is 5.

To find the value of g(12), we need to first understand the given information. It is stated that f′(x)f(10)g(10)f(12)=g′(x) on the interval [10,12]. We are also given the values f(10)=9, f(12)=-9, and g(10)=11.

Since f′(x)f(10)g(10)f(12)=g′(x), we can rewrite this as:

g′(x) = f′(x) * f(10) * g(10) * f(12)

Now, substitute the given values:

g′(x) = f′(x) * 9 * 11 * (-9)

Since we want to find g(12), we need to do integral g′(x) from 10 to 12:

g(12) = g(10) + ∫[10,12] g′(x) dx

g(12) = 11 + ∫[10,12] f′(x) * 9 * 11 * (-9) dx

However, based on the information provided, we can conclude that the value of g(12) is 5.

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Based on the data collected from the 75 randomly selected students at CSUF, the average amount of sleep they obtained on a typical night was 6.9 hours, with a standard deviation of 1.482 hours. This means that the majority of students at CSUF are sleeping between 5.4 and 8.4 hours per night, as 68% of the data falls within one standard deviation of the mean.

To answer the question of whether the average amount of sleep is less than the recommended eight hours, we need to look at the lower end of the range. The data shows that 6.9 hours is significantly less than the recommended eight hours of sleep per night. This indicates that the average amount of sleep obtained by CSUF students is less than the recommended amount.

To estimate the average amount of sleep for all CSUF students, we can use the data collected from the 75 students and calculate a confidence interval. This interval will give us a range of values that we can be confident contains the true average amount of sleep for all CSUF students.

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The probability that a black and then a blue marble were chosen is 1/16 if the total number of marbles is 16

It is defined as the ratio of the number of favourable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.

Here data is not given so we are assuming:

Total number of marbles = 6(green) + 2(blue) + 8(black) = 16 marbles

Probability of getting black = 8/16 = 1/2

Probability of getting blue = 2/16 = 1/8

From the product rule:

Probability that a black and then a blue marble = (1/2)(1/8) = 1/16

Thus, the probability that a black and then a blue marble were chosen is 1/16 if the total number of marbles is 16

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Answer:

0.6820

Step-by-step explanation:

Given data

Angle= 47°

Hence we want to find

cos 47°

From calculator

cos 47°=0.681998

to 4 dp

0.6820

Answer: 0.6820

Step-by-step explanation: I did the quiz

The correlation coefficient (r) for the given data is 0.926, indicating a strong positive linear relationship between temperature (X) and plant growth (Y).

The calculated correlation coefficient of 0.926 indicates a strong positive linear relationship between temperature (X) and plant growth (Y). The correlation coefficient ranges from -1 to 1, where values close to 1 indicate a strong positive correlation. In this case, a value of 0.926 suggests that as temperature increases, the amount of plant growth also tends to increase.

To perform the hypothesis test we compare the p-value to the chosen significance level (typically 0.05). The p-value represents the probability of obtaining a correlation coefficient as extreme as the observed value (or more extreme) if the null hypothesis were true (rho = 0). If the p-value is smaller than the significance level, we reject the null hypothesis in favor of the alternative hypothesis, indicating that there is a significant correlation.

In this case, the p-value is less than 0.05, which means the probability of observing a correlation coefficient as extreme as 0.926 (or more extreme) under the assumption of no correlation is very low. Therefore, we reject the null hypothesis and conclude that there is a non-zero correlation between temperature and plant growth.

Note: The provided equation "y cap = 1.905x + 5.055" and the value "sigma(Z_x middot Z_y) = 8.875" are not directly used in calculating the correlation coefficient or performing the hypothesis test. They may be additional information given for the purpose of further analysis or calculations.

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Answer:

t-6

Step-by-step explanation:

listen to how the statement is worded, it will help with other problems like this.

Alex does not have enough strawberries to make fruit salad and jam.

A mixed fraction is a fraction that is created by fusing a fraction with a whole number.

An improper fraction is a fraction that cannot be further simplified and has a numerator higher than or equal to the denominator. For instance, 13/5 is a bad fraction. Let's find the mixed fraction equivalent of this incorrect fraction. Divide the denominator by the numerator in step 1. Step 2: Track down the rest. In step 3, arrange the numbers as follows: quotient, followed by a portion of the remainder or divisor.

Given that, Alex wants to use 1 3/4 and 3 1/2 cups of strawberries.

Thus the total strawberries are:

1 3/4 + 3 1/2

= 7/4 + 7/2

Taking LCM we have:

= 21/4 = 5.2 cups

Hence, Alex does not have enough strawberries to make fruit salad and jam.

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Answer:

One solution

Step-by-step explanation:

Let us first expand the left side of the equation to rid of the parenthesis:

\(3*12x-3*9+9=2x+4\\36x-27+9=2x+4\\36x-18=2x+4\)

Now let us isolate the variable to sove for x:

\(36x-2x=4+18\\34x=22\\x=\frac{22}{34}\\x=\frac{11}{17}\)

Therefore, x=\(\frac{11}{17}\). As you can see, there is just one solution.

I hope this helps! Please let me know if you have any further questions :)