Which three angle measures CANNOT be the angle measures of a triangle
A. 110,43,27
B. 89,47,32
C. 95,32,53
D. 100,30,50

Answer:

The best point estimate for the mean amount of money spent for textbooks for all students at the College is of $121.60.

Step-by-step explanation:

Best point estimate:

The best point estimate of a population mean is the sample mean.

In this question:

The sample mean amount of money spent for textbooks was $121.60, which means that the best point estimate for the mean amount of money spent for textbooks for all students at the College is of $121.60.

Answer:

17/16 OR \(1\frac{1}{16}\) minutes

Step-by-step explanation:

Since Jayla spent 1/16 of a minute AND one whole minute watching a millipede crawl, we'd need to first add the two numbers.

Since the given minute is out of 16, we can convert the one minute to 16/16.  This means we can add the other 1/16 of a minute.

This leaves us with Jayla watching the millipede for 17/16 OR \(1\frac{1}{16}\) minutes.

Hope this helps!! <3 :)

An inequality to represent the cost of Jason’s food for the party is

An inequality to represent this situation "Jason knows that he will be buying at least 5 packages of hot dogs" is

The two options for buying wings and hot dogs include the following:

In order to write a system of linear inequalities to describe this situation, we would assign variables to the number of packages of hot dogs and number of packages of wings respectively, and then translate the word problem into algebraic equation as follows:

Since one package of wings costs $7 and Hot dogs cost $5 per package, and he must spend no more than $40, a linear inequality which represents this situation is given by;

7x + 5y ≤ 40

Additionally, since Jason knew he would buy at least 5 packages of hot dogs, a linear inequality which represents this situation is given by;

y ≥ 5

Next, we would use an online graphing calculator to plot the above system of linear inequalities as shown in the graph attached below.

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The missing reason in the given two column proof is: Reason 3: Converse of corresponding angles theorem

A two-column proof uses a table to present a logical argument and assigns each column to do one job, and then the two columns work in lock-step to take a reader from premise to conclusion.

The complete two column proof in the question is:

Statement 1: ∠WVX ≅ ∠QSR

Reason 1: Given

Statement 2: ∠QSR ≅ ∠TSV

Reason 2: Vertical Angle Theorem

Statement 3: ∠WVX ≅ ∠TSV

Reason 3: Converse of corresponding angles theorem

The Converse of the Corresponding Angles Theorem states that If two lines and a transversal form corresponding angles that are congruent, then it means that the lines are parallel.

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Answer:

104

Step-by-step explanation:

10th square number is 100, 2nd square number is 4. 100+4=104

Answer:

B. More than 90

Step-by-step explanation:

Hope this helps!

Cartesian product are A.{aa, ab, ac, ad}   B. {ab}   C. {aa, ab, ad}   D.{ab}

Given the set notations A = {a} B = {b, c} C = {a, b, d}

BUC = {a, b, c, d}

B∩C = {b}

a) A × (BUC) = {aa, ab, ac, ad}

b) A × (B ∩ C) = {ab}

c) (A × B) ∪ (A × C)

A × B = {ab, ac} and A × C = {aa, ab, ad}

(A × B) ∪ (A × C) = {aa, ab, ac, ad}

d) For (A × B) ∩ (A × C)

(A × B) ∩ (A × C) = {ab}

The symbol ∩ represents the intersection of sets. For example, the intersection of two sets X and Y can be expressed as X ∩ Y.

The union of two sets P and Q is denoted by P ∪ Q. This is the set of all distinct elements contained in P or Q. The symbol used to represent the union of sets is ∪. The intersection of two sets P and Q is denoted by P ∩ Q. This is the set of all distinct elements in both P and Q. The symbol for the set intersection is ∩. The intersection of two given sets, H. P and Q, is the set containing all elements common to both P and Q.

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Answer:

10 hundredths

Step-by-step explanation:

One-tenth equals 0.1 and one-hundredth equals 0.01, which means that hundredth equals 10 hundredths.

Answer:

x= -3

Step-by-step explanation:

Given: 5(x+5) = 10

Find: x

Set the equation up.

5(x+5) = 10

Simplify.

5x + 25 = 10

Subtract 25 from both sides.

5x = -15

Divide to isolate the variable.

x = -3.

Answer:

x = -3

Step-by-step explanation:

Lets start simplifying:

Method 1:

5(x+5) = 10      Multiply parenthesis by 5

5x+25 = 10     Subtract 25 from both sides

5x = -15           Divide by 3 on both sides

x = -3

Method 2:

5(x+5) = 10     Divide by 5 on both sides

x+5 = 2           Subtract 5 from both sides  

x = -3

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Answer

If you mean 5082 ÷ 5 than the answer is 1016.4

Step-by-step explanation:

Hope it helps!

Answer:

24 1/4 lbs

Step-by-step explanation:

She starts off with 32 1/2 lbs.

She then gives 8 1/4 to her friend.

To find how much she has left, we subtract 8 1/4 from 32 1/2.

To make this easier, lets make them both have a common denominator:

32 2/4 - 8 1/4 = 24 1/4

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Answer:

\(4^6\)

Step-by-step explanation:

\(4^9 \div 4^3\)

Apply the law of exponents.

\(=4^{9-3}\)

\(=4^6\)

Answer:

4^6

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

The required expression represents the number of students on the bus would be S < 40.

Inequality can be defined as the relation of the equation containing the symbol of ( ≤, ≥, <, >) instead of the equal sign in an equation.

Here,
According to the question,
The number of students the bus holds, s which is less than 40,
So
S is less than 40
S < 40  
[in math we have inequality represent the less than relation or greater than the relation with symbols "<"  and ">"]

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Answer:

-6

Step-by-step explanation:

The antiderivative of h" is exactly h', therefore the result is h'(3) - h'(1) = -1 -5 = -6

The probability that each bill is a $1 bill is given as follows:

1/16.

A probability is calculated as the division of the desired number of outcomes by the total number of outcomes.

The bills are replaced, hence we consider that for each trial, there is a 1/4 probability of selecting a $1 bill, as one out of the four bills are of $1.

Hence the probability that each bill is a $1 bill is obtained as follows:

p = 1/4 x 1/4

p = 1/16.

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Answer:

16 pies

Three-Quarters of 16 is 12, and if you sell 12, then you have a quarter which is 4, which ends up being every quarter which equaled 4

Answer:

5.

Step-by-step explanation:

32-20-12.

Answer:

a) 0.12386 = 12.386% probability that in a year, there will be 3 hurricanes.

b) 5.57 years are expected to have 3 hurricanes, that is, between 5 and 6 years.

c) 5 years is very close to the mean of 5.57, which means that the Poisson distribution works well here.

Step-by-step explanation:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

\(P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}\)

In which

x is the number of sucesses

e = 2.71828 is the Euler number

\(\mu\) is the mean in the given interval.

The mean number of hurricanes in a certain area is 5.3 per year.

This means that \(\mu = 5.3\)

a. Find the probability that in a year, there will be 3 hurricanes.

This is P(X = 3).

\(P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}\)

\(P(X = x) = \frac{e^{-5.3}*5.3^{3}}{(3)!} = 0.12386\)

0.12386 = 12.386% probability that in a year, there will be 3 hurricanes.

b. in a 45-year period, how many years are expected to have 3 hurricanes ?

0.12386 each year. So, for 45 years:

45*0.12386 = 5.57

5.57 years are expected to have 3 hurricanes, that is, between 5 and 6 years.

c. How does the result from part (b) compare to a recent period of 45 years in which 5 years had 3 hurricanes? Does the Poisson distribution work well here?

5 years is very close to the mean of 5.57, which means that the Poisson distribution works well here.

Answer:

the answer is D. F(x) = 1/x(x-3)

Step-by-step explanation:

Answer:

With the information given in the question, the blank spaces are filled thus:

Step-by-step explanation:

1. The intercept is the estimated amount of a purchase, if time spent viewing the online catalog was zero minutes.

2. The slope coefficient is the estimate of amount that a purchase charges/changes, for one extra minute spent viewing the online catalog.

3. The proportion of total variation in purchases that can be explained by variation in the minutes spent viewing an online catalog is equal to the coefficient of determination.

4. The p-value is the probability value

5. Reject the null hypothesis if there is sufficient evidence to support the claim that the regression slope coefficient is not equal to zero.

NOTE: In the case of number 5, the assumption is that;

Null Hypothesis: The regression slope coefficient = 0

Alternative Hypothesis: The regression slope coefficient ≠ 0

Other answers require numerical information and full data, in order to be computed or calculated.

41/2 days is equivalent tο 492 hοurs.

Divisiοn is an arithmetic οperatiοn that invοlves splitting a quantity intο equal parts οr determining hοw many times οne quantity is cοntained within anοther. It is cοmmοnly denοted by the symbοl ÷ οr /, and can be written as a fractiοn οr as a ratiο.

We knοw that there are 24 hοurs in day therefοre,

Tο cοnvert 41/2 days tο hοurs, we can use the fact that there are 24 hοurs in οne day:

41/2 days x 24 hοurs/day = 41 x 12 = 492 hοurs

Therefοre, 41/2 days is equal tο 492 hοurs.

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Answer:

9/49 or 0.184

Answer:

9/49

Step-by-step explanation:

(6/7)² × (1/2)²

Distribute the square to the fractions.

6²/7² × 1²/2²

36/49 × 1/4

Multiply.

36/196

Simplify.

9/49

Two out of the three given existential quantifications are true, while one is false.

In mathematics, quantifiers are used to describe the properties of a set or a domain. One such quantifier is the existential quantifier, which is used to indicate the existence of at least one element in a set that satisfies a given property. In this case, we are interested in finding out which of the given existential quantifications are true, where the domain of x is restricted to positive integers. Let's explore this in more detail.

The domain of x is the set of positive integers, which means that x can only take on values such as 1, 2, 3, 4, and so on. The given existential quantifications are as follows:

∃x(x²=9)

∃x(x+3=5)

∃x(x²=2)

Let's examine each of these in turn.

∃x(x²=9)

This existential quantification is true. To see why, we need to find an integer value of x such that x² equals 9. We can easily see that x=3 satisfies this property, since 3² = 9. As 3 is an integer and satisfies the condition, the statement is true.

∃x(x+3=5)

This existential quantification is also true. We need to find an integer value of x such that x+3 equals 5. This can be easily done by subtracting 3 from both sides of the equation to get x=2. As 2 is an integer and satisfies the condition, the statement is true.

∃x(x²=2)

This existential quantification is false. We need to find an integer value of x such that x² equals 2. However, there is no such integer value of x. This can be proven using the fact that the square of any integer is always a non-negative integer. Therefore, the statement is false.

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Complete Question:

Which of these existential quantifications are true, where the domain of x is the positive integers?

∃x(x²=9)

∃x(x+3=5)

∃x(x²=2)

Answer:

To fill in the table of values for the equation y = 2x + 1, we can choose different values of x and substitute them into the equation to find the corresponding values of y. For example:

x y

0 1

1 3

2 5

3 7

4 9

To get the value of y, we substitute each value of x into the equation and simplify:

When x = 0:

y = 2(0) + 1 = 1

When x = 1:

y = 2(1) + 1 = 3

When x = 2:

y = 2(2) + 1 = 5

When x = 3:

y = 2(3) + 1 = 7

When x = 4:

y = 2(4) + 1 = 9

Therefore, the table of values for the equation y = 2x + 1 is:

x y

0 1

1 3

2 5

3 7

4 9

Answer:

A and E

Step-by-step explanation:

Step-by-step explanation:

Line P passes through POINTS (-2,6) and (6,4). Using y=mx + b where m is the SLOPE(rise divided by the run), and b is the Y-INTERCEPT. Pick the POINT (6,4) and plug into the Y-INTERCEPT EQUATION above to determine the Y-INTERCEPT

Answer:

1/64 ft^3

Step-by-step explanation:

(1/4)^3 = 1/64 cubic feet