I need the math for part C
The distribution of the number of children per family in the United States is strongly skewed right with a mean of 2.5 children per family and a standard deviation of 1.3 children per family.
a) Without doing any calculations, which event is more likely? Explain.
Event A: Randomly selecting a family from the United States that has 3 or more children.
Event B: Randomly selecting 40 families from the United States and finding an average of 3 or more children.
b) The probability of one of the two events listed in part (a) can be calculated even though the distribution of the population is strongly skewed right. For which event can the probability be calculated? Explain.
c) Calculate the probability of the event that you selected in part (b).
Answer:blank it’s prob glitch re post it
Step-by-step explanation:
help me What is the rule of this function?– 5+ 5× 5÷ 5
÷ 5
Question 1 of 7
The value of the expression 5 + 5 × 5 ÷ 5 ÷ 5 is equal to 10.
What is the rule of the function?The order of operations in mathematics is to perform the operations in the following order:
Parentheses or BracketsExponents or RootsMultiplication or Division (from left to right)Addition or Subtraction (from left to right)Using this rule, we can simplify the expression:
First, we perform the multiplication and division from left to right:
5 x 5 = 25
25 ÷ 5 = 5
Then, we add the remaining terms:
5 + 5 = 10
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Which side is opposite angle C?
None
BC
AB
AC
Answer:
AB
Step-by-step explanation:
opposite is AB
Find the midpoint of the segment.
A. (1.5, 2)
B. (6, 8)
C. (2, 1.5)
write the equation of the line that passes through the points (-2,3) and (3,2)
Step-by-step explanation:
The slope of the line (m) = (y₂ - y₁) ÷ (x₂ - x₁)
= (3 - 2) ÷ ( -2 - 3)
= - ¹/₅
We can now use the point-slope form to write the equation for this line:
y - y₁ = m(x - x₁)
y - 2 = - ¹/₅ ( x - 3 )
Describe the graph of y = 3x2 and compare it with the graph of y=x^2.
Answer:
y=-x^2 is just y=x^2 reflected over the x-axis. In other words, the parabola is upside-down.
Step-by-step explanation:
2. Carl bought some stickers on Saturday. He used 9 of them that same day.
When he went back to the store on Sunday, he bought 3 more stickers.
Write an expression that represents the number of stickers Carl has.
PLEASE HELP ME ASAP
Let N be the number of stickers Carl have and K be the number of stickers he bought at Saturday.
\(N = K-9 +3\)
\(N = K-6\)
Two number cubes are rolled.
What is the probability that the first lands on an odd number and the second lands on an even number?
Enter you answer, as a fraction in simplified form, in the box
Answer:
1/4
Step-by-step explanation:
Assuming the number cube is a six-faced die, you have
1 2 3 4 5 6
three odd numbers, and three even numbers. Therefore, the chance of it landing on an odd number or even number is 3/6, which equals 1/2. That means you have a 50% chance to get an odd number, or an even number.
So, you have two die. Both have a 50/50 chance of getting an even or odd number. So what's the chance of one landing on an odd number, and the other landing on an even number?
You would have a 25% chance for an even and then an even numberYou would have a 25% chance for an odd and then an odd numberYou would have a 25% chance for an even and then an odd numberYou would have a 25% chance for an odd and then an even number.25% as a simplified fraction is 1/4. Therefore, 1/4 is your answer.
Answer:
1/4
Step-by-step explanation:
7 √x +4 Is it a polynomial?
Answer:
Phải
Step-by-step explanation:
A hair stylist can work for 9 hours
a day. A hair color takes 1 hours
and a haircut takes 20 minutes. If
the stylist schedules 3 hair colors
each day, which inequality
represents the number of haircuts,
c, that he can do?
A.)20c + 3(1.5) < 9
B.)c ≥
C.)20c ≤ 4.5
D.)c + ≤ 9
Answer:
I believe its A
Step-by-step explanation:
Ria is 6 years older than her brother. Fourteen years ago, she was twice as old as he was. How old is each now?
Answer
ria is 26 and her brother is 20
the diagram shows a right angled triangle 15cm 37 degrees
Answer:
h = 11.3 cm
use tane rule:
\(\sf tan(x)= \dfrac{opposite}{adjacent}\)
Here:
x = 37°opposite = hadjacent = 15 cm=========
\(\hookrightarrow \sf tan(37)= \dfrac{h}{15}\)
\(\hookrightarrow \sf h = tan(37) * 15\)
\(\hookrightarrow \sf h = 11.3 \ cm\)
If everyone in a class scored 100 on a quiz, what is the standard deviation of quiz scores?
The standard deviation of quiz scores is 0.
What is the standard deviation?The standard deviation in statistics is a measure of the amount of variation or dispersion in a set of values. A low standard deviation indicates that the values of the set tend to be close to the mean (also known as the expected value), whereas a high standard deviation indicates that the values are spread out over a larger range.To find the standard deviation:
Let, the number of students = nx = 100Mean = n×x/n=xVariance = \(\frac{\sum(\bar{x}-x)^2}{n}\)Variance = (x₁ - x)² + (x₂ - x)² + (x₃ - x)²/nV = 0Standard variance = √0Therefore, the standard deviation of quiz scores is 0.
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Given h(x) = 5x - 1. find x if h(x) = 9
Answer:
2
Step-by-step explanation:
9 = 5x -1
x = 10/5
x = 2
a) Prove that A, B and C lie on a straight line
b) Find the ratio
length of DF: length of DE
Please help I’m struggling
The length of the rays (vectors) and the ratio of the lengths of the vectors are;
(a) \(\overrightarrow{AC}\) = \(\overrightarrow{AB}\) + \(\overrightarrow{BC}\), therefore, according to the segment addition postulate, the points A, B, and C, are on the same straight line
(b) Length of DF : Length of DE = 3.5 : 1
What is a vector?A vector is a quantity that has both magnitude and direction.
(a) The equations of the rays (vectors) \(\overrightarrow{AB}\) and \(\overrightarrow{AC}\) are;
\(\overrightarrow{AB}\) = 4·a + 5·b
\(\overrightarrow{AC}\) = 12·a + 15·b
The points A, B, and C, lie on the same straight line if we get;
\(\overrightarrow{AC}\) = \(\overrightarrow{AB}\) + \(\overrightarrow{BC}\), such that the rays \(\overrightarrow{AB}\) and \(\overrightarrow{BC}\) formed by the point B are a simple ratio with each other and with the ray \(\overrightarrow{AC}\)
The ratio of \(\overrightarrow{AC}\) to \(\overrightarrow{AB}\) = (12·a + 15·b) : (4·a + 5·b)
12·a + 15·b = 3 × (4·a + 5·b) = 3 × \(\overrightarrow{AB}\)
\(\overrightarrow{AC}\) : \(\overrightarrow{AB}\) = 3 × \(\overrightarrow{AB}\) : \(\overrightarrow{AB}\) = 3 : 1
Similarly; \(\overrightarrow{BC}\) = (12·a + 15·b) - (4·a + 5·b) = 8·a + 10·b = 2 × (4·a + 5·b)
\(\overline{BC}\) = 2 × \(\overrightarrow{AB}\)
\(\overrightarrow{BC}\) : \(\overrightarrow{AB}\) = 2 × \(\overrightarrow{AB}\) : \(\overrightarrow{AB}\) = 2 : 1
Therefore, the point B is a point on \(\overrightarrow{AC}\) that divides it into a ratio 2 : 1 and \(\overrightarrow{AC}\) = \(\overrightarrow{AB}\) + \(\overrightarrow{BC}\) which indicates by the segment addition postulate that A, B, C, are on the same straight line or segment, \(\overrightarrow{AC}\)
(b) The length of ray \(\overrightarrow{DF}\), obtained by using the segment addition postulate is presented as follows;
\(\overrightarrow{DF}\) = \(\overrightarrow{DE}\) + \(\overrightarrow{EF}\)
\(\overrightarrow{DE}\) = 2·d + 5·e
\(\overrightarrow{EF}\) = -9·d - 22.5·e
\(\overrightarrow{DF}\) = 2·d + 5·e + (-9·d - 22.5·e) = -7·d - 17.5·e
Length of DF = √((-7)² + (-17.5)²) = 3.5·√(29)
Length of DE = √(2² + 5²) = √(29)
Length of DE : Length of DF = 3.5 : 1 = 7 : 2
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the expression $3x^2 14x 8$ can be written in the form $(3x a)(x b)$ where $a$ and $b$ are integers. what is the value of $a - b$?
To rewrite the expression $3x^2 + 14x + 8$ in the form $(3x + a)(x + b)$, we need to find integers $a$ and $b$ such that the product of these two terms gives the original expression.
First, we need to find the factors of $3 \times 8 = 24$. The pairs of factors are: $(1, 24), (2, 12), (3, 8), (4, 6)$. We need a pair that has a sum of $14$ (the coefficient of the middle term). The pair $(2, 12)$ meets this requirement.
Now we can write the expression as:
$(3x^2 + 2x) + (12x + 8) = (3x + 2)(x + 4)$
So, $a = 2$ and $b = 4$. The value of $a - b$ is $2 - 4 = -2$.
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As diversification increases, the total variance of a portfolio approaches _____.A. 0B. 1C. idiosyncratic riskD. systematic risk
The correct answer is A. 0. As diversification increases, the total variance of a portfolio approaches zero.
As diversification increases, the total variance of a portfolio approaches 0, which means that the portfolio becomes less risky. This occurs because diversification spreads the risk across multiple assets, reducing the impact of any single asset on the portfolio's overall performance. The reduction in risk is due to the fact that some assets in the portfolio may perform well while others may not, but the negative performance of some assets is compensated by the positive performance of others, leading to a lower overall portfolio variance. Therefore, option A is the correct answer.
Diversification is an investment strategy that involves spreading an investor's portfolio across different assets, such as stocks, bonds, real estate, and commodities, with the aim of reducing overall risk.
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Can someone help on number 32 please
Answer:
\(b. -2.5, -\frac{5}{4}, -\frac{2}{3}, 0.75, \sqrt{3}, 1.9, I-4I\)
Step-by-step explanation:
-5/4 is smaller than -2/3 since on the negative sides, any number who is larger is smaller.
0.75 is smaller than the square root of 3 since that equals to 1.7.
1.9 is smaller than the absolute value of -4 since that equals to 4.
Answer:
B) -2.5, -5/4, -2/3, 0.75, √3 (square root of 3), 1.9, |-4|
Step-by-step explanation:
The square root of 3 is ≈ 1.7, -5/4=-1.25, -2/3=-0.66..., and you have |-4|(absolute value of four)=4. So if you just transition values that are squared, fractions, etc to numbers that are easier to use, it makes it much easier to list them from least to greatest or greatest to least. You would list the negatives first, then positives. I hope this helps you and good luck with your assignment.
Georgia is wrapping a shoe box with dimensions 12 x 5 x 7. What is the surface area of her box?
Answer:
358 feet²
Step-by-step explanation:
Answer:
358
Step-by-step explanation:
A= 12 x 5
= 60
x 2 = 120
A= 5 x7
= 35
x 2 = 70
A = 12 x 7
= 84
x2 =168
(I multiply by 2 because 2 sides are equall)
Add:
120 + 70 + 168 = 358
Hope this helps!
The same business recently upgraded a display TV they had in their lobby. Originally the TV was 32 inches (across the diagonal) and had an area of 446. 38in². The new TV is 59 inches across the diagonal. What is the area of the new TV? Round the answer to two decimal places
The area of the new TV is 823.01 square inches.
What is a Ratio?A ratio indicates the number of times one number contains another.
Given that, the area of the 32-inch TV is 446.38 square inches.
Therefore,
32 inches = 446.38 square inches
1 inch = 446.38/32 square inches
59 inches = (446.38/32)×59 square inches
59 inches = 823.01 square inches
Hence, the area of the new TV is 823.01 square inches.
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What is the factorization of 2x^2 + 7x + 6?
Answer:
( x + 2)(2x + 3)
Step-by-step explanation:
\(2 {x}^{2} + 7x + 6 \\ \\ = 2 {x}^{2} + 4x + 3x + 6 \\ \\ = 2x(x + 2) + 3(x + 2) \\ \\ = ( x + 2)(2x + 3)\)
Which of the following are probability distributions? Why? (a) RANDOM VARIABLE X PROBABILITY 2 0.1 -1 0.2 0 0.3 1 0.25 2 0.15 (b) RANDOM VARIABLE Y 1 1.5 2 2.5 3 PROBABILITY 1.1 0.2 0.3 0.25 -1.25 (c) RANDOM VARIABLE Z 1 2 3 4 5 PROBABILITY 0.1 0.2 0.3 0.4 0.0
only option (c) satisfies the criteria of a probability distribution.
Among the options given, only (c) represents a probability distribution. A probability distribution is a function that assigns probabilities to each possible value of a random variable, ensuring that the probabilities sum to 1. In option (c), the random variable Z takes values 1, 2, 3, 4, and 5, and the corresponding probabilities assigned to these values are 0.1, 0.2, 0.3, 0.4, and 0.0, respectively. These probabilities satisfy the requirement that they sum to 1, making it a valid probability distribution.
In option (a), the random variable X has repeated values, which violates the requirement that each value should have a unique probability. For example, X takes the value 2 with a probability of 0.1 twice, which is not a valid probability distribution.
In option (b), the probabilities assigned to the values of the random variable Y are not non-negative, as there is a negative probability (-1.25). Negative probabilities are not allowed in probability distributions.
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Find the total area round to the nearest 10th if necessary use the pi symbol on calculator
Answer:
\( Total \:area\approx 290.5\: ft^2 \)
Step-by-step explanation:
Total area \( =\frac {1}{2} \pi r_1^2 +\frac {1}{2} \pi r_2^2 \)
(where \( r_1 = 22/2 = 11 \: ft, \: \:\:r_2 = (30-22)/2 = 4 \: ft\))
\(\therefore Total \:area=\frac {1}{2} \pi( r_1^2 + r_2^2) \)
\(\therefore Total \:area=\frac {1}{2} \times 3.14(11^2 + 8^2) \)
\(\therefore Total \:area=1.57(121 + 64) \)
\(\therefore Total \:area=1.57(185) \)
\(\therefore Total \:area=290.45\: ft^2 \)
\(\therefore Total \:area\approx 290.5\: ft^2 \)
A demographer working for the U.S. Census Bureau wants to compare salaries for urban vs. rural areas. The demographer gets a sample of psychologists who live in urban areas and a sample of psychologists who live in rural areas. From each, the demographer finds out his or her annual income. What statistical test should the demographer use to see if a difference exists in a psychologist's income as a function of residential status
To determine if a difference exists in a psychologist's income as a function of residential status (urban vs. rural), the demographer can use the Independent Samples t-test.
The Independent Samples t-test is appropriate when comparing the means of two independent groups. In this case, the demographer has two independent samples: one from psychologists in urban areas and another from psychologists in rural areas.
The test will assess whether there is a statistically significant difference between the mean incomes of psychologists in urban and rural areas. It takes into account the variability within each group and provides a p-value indicating the likelihood of obtaining the observed difference in means by chance.
By conducting an Independent Samples t-test, the demographer can determine if there is evidence to support the hypothesis that residential status has an effect on a psychologist's income.
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PLEASE HELP I MIGHT FAIL 8TH GRADE (look at photo)
From the given triangle ABC, the measure of side BC is 9 yards.
From the given triangle ABC, AB=12 yards and AC=15 yards.
By using Pythagoras theorem, we get
AC²=AB²+BC²
15²=12²+BC²
225=144+BC²
BC²=225-144
BC²=81
BC=√81
BC=9 yards
Therefore, from the given triangle ABC, the measure of side BC is 9 yards.
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1. What property do you use when multiplying two polynomials?
O Distributive
O Identity
O Commutative
O Associative
When multiplying two polynomials, the property that is used is the Distributive property.
Which property is used when multiplying two polynomials?When we multiply two polynomials, we use the distributive property of multiplication over addition. This property states that the product of a number (or variable) and a sum is equal to the sum of the products of the number (or variable) and each term in the sum.
In the case of polynomial multiplication, we use this property repeatedly to multiply each term in one polynomial by each term in the other polynomial. We start by multiplying the first term in one polynomial by each term in the other polynomial, then we move on to the second term in the first polynomial and multiply it by each term in the second polynomial, and so on until we have multiplied each term in one polynomial by each term in the other polynomial.
This process of multiplying each term in one polynomial by each term in the other polynomial requires the distributive property of multiplication over addition, which is why it is the property used when multiplying two polynomials. The commutative and associative properties are also useful when simplifying polynomial expressions, but they are not directly involved in polynomial multiplication.
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Calculate the frequency of light that has a wavelength of
4.25 x 10^-9m and a velocity of 300 m/s.
Answer:
The velocity of light, v, is the product of its wavelength, λ , and its frequency, f. This means that the wavelength is the velocity, v, divided by the frequency, f.
Wavelength of light = velocity of light / frequency of light
λ = v/f
λ = Wavelength of light, meters
v = Velocity of light (c = 3.0 x 108 m, for speed of light if not otherwise defined)
f = frequency of light, Hz
Step-by-step explanation:
Which of the following is not a factor in capacity planning?
a) approach used to measure capacity
b) economies of scale
c) prepare to deal with capacity in "chunks"
d) proximity to suppliers
e) identify the best operating level
The option that is not a factor of capacity planning is the option d
d) Proximity to suppliers
What is capacity planning?The process of ascertaining the production capacity an organization needs in order to meet changing demand for the products and services of the organization is known as capacity planning.
The factors considered in capacity planning are factors which include the capacity measurement approach, the economies of scale, preparedness to deal with the capacity in chunks, and activities towards identifying the best operating level.
Therefore, from the listed options, the option that is not a factor in capacity planning is the option (d) proximity to suppliers
Other aspects of the operations of an organization, such as supply chain management and logistics can be affected by the proximity of suppliers, but the proximity of suppliers is not directly linked to the determination process for the production capacity needed to meet the market demand.
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A firm produces two goods in quantities x and y. Its cost function is C(x,y) = 10x + xy + 10y and the prices P, and P, it can charge are, respectively, Ps = 50 - x + y and Py = 50 - x + y. The firm is committed to delivering a total of 15 units. How much should the firm produce of each good to maximize profits?
To maximize profits, the firm should produce a quantity of goods x = 5 and y = 10, based on the cost function and price constraints.
To maximize profits, the firm needs to find the quantities of goods x and y that will yield the highest profit. The profit function can be defined as the revenue minus the cost. Revenue is calculated by multiplying the quantity of each good produced with their respective prices, while the cost function is given as C(x, y) = 10x + xy + 10y.
The firm is committed to delivering a total of 15 units, which can be expressed as x + y = 15. To determine the optimal production quantities, we need to maximize the profit function subject to this constraint.
By substituting the price expressions Ps = 50 - x + y and Py = 50 - x + y into the profit function, we obtain the profit equation. To find the maximum profit, we can take the partial derivatives of the profit equation with respect to x and y, set them equal to zero, and solve the resulting system of equations.
Solving the equations, we find that the optimal production quantities are x = 5 and y = 10, which maximize the firm's profits.
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Convert 10/3 7/2 7/5 38/10 20/12 3/2 9/5 13/4 19/5 7/4 26/12 12/8 improper fractions to mixed numbers PLIS HELP ME
Answer:
3 1/3, 3 1/2, 1 2/5, 3 4/5, 1 2/3, 1 1/2, 1 4/5, 3 1/4, 3 4/5, 1 3/4, 2 1/6, 1 1/2