I need help with solving propotional segments in right triangles. I need help with number 4.

The outcome of tossing a coin is either a head or a tail.

Looking at the given table,

Event A = A tail in both the first and last tosses = THT, TTT

Event B = Two or more tails = TTH, TTT, HTT, THT

Event C = Alternating tail and head with either coming first = TTH, THH, HTT, HTH, THT. HHT

Recall,

probability = number of favorable outcome/number of total outcomes

Total number of outcomes = 8

Probability of event A = 2/8 = 1/4

Probability of event B = 4/8 = 1/2

Probability of event C = 6/8 = 3/4

ANSWER

If it is not winter, then I am not cold.

EXPLANATION

We want to find the inverse of the statement given:

If it is winter, then I am cold

To do this, we have to negate the if statement and the conclusion of the if statement there.

That is we find the negative of the if part and the then part of the statement.

The if part is:

If it is winter

The negative of this is:

If it is not winter

The then part is:

then I am cold

The negative of this is:

then I am not cold

Therefore, the inverse of the statement is If it is not winter, then I am not cold.

Since the school budget allows no more than $360 to be spent on balls and bats, we have:

Now, let's call x the number of balls and y the number of bats that can be bought.

• The cost to buy x balls, in dollars, is 6x.

• The cost to buy y bats, in dollars, is 24y.

So, the total cost of balls and bats, in dollars, is 6x + 24y.

Now, we can use this expression in the above inequality to obtain the inequality:

Solution.

Calculate the z-score

The formula is shown below

Thus, 309 customers (to nearest whole number) wait 18 minutes or more before being seated

(ii)

Thus, 20 customers (to nearest whole number) wait less than 9 minutes before being seated

Answer:

r=6

Step-by-step explanation:

33/r = 11/2

r/33 = 2/11    multiply both sides of the equation by 33

r = 33 * 2/11 = 6

The box of cereals will weigh

Let's assume the question was as stated below;

"If x=5 and y=10, which expression has the greatest value​?"

a. xy

b. x + y

c. x-y

d. x/y

Answer:

Option A. Expression xy has the greatest value.

Explanation:

To determine which of the given options has the greatest value, let's go ahead and evaluate each of them;

Option A;

Option B;

Option C;

Option D;

We can see that the expression (xy) gives the greatest value.

Therefore, option A would be our correct answer.

we get that

SOLUTION

This is a length of arc problem.

The formula for finding the length of an arc is:

r=TR=PT=11ft

The final answer is 31.47ft.

There are two degrees, one variable and one number.

EXPLANATION

Factors are numbers we can multiply together to get another number.

The factor of 26:

26 divides by 2: 26/2=13

13 divides by 13: 13/13 = 1

2,13 are all prime numbers, therefore no further factorization is possible.

Add the primer factors:

2,13

Add 1 and the number 26 itself:

1,26

The factors of 26 are 1,2,13,26.

We have the following:

now, (f(x) o g(x))

The answer is the second option

The correct option is y = 2x + 8

Answer:

1.583%

Step-by-step explanation:

19% divided by 12% (how many months there are) = 1.583%

To round the number

2.8962 to the nearest hundredth

First check the digit whose place value is hundredth

The digit is 9

You will either round it up or down depending on the next digit immediately after it which is called the decider

If the decider is from 0-4 then we round the number down

If the decider is from 5 -9 then we round the number up

The decider is 6 so we are rounding the number up

2.8962 ≈ 2.90 to the nearest hundredth

When the 9 increases to ten, we can't write 10 down so we write 0 and add 1 to 8 which makes it 9

Answer:

9

Step-by-step explanation:

By Evaluating the Compound Interest, we come to know that Rajesh will have enough money in the account to cover all of the required loan payments.

The Principal Amount(P) = $30,000

Rate of Interest (r) = 2.16 %

Time(t) = 10 years

Number of Times it is Compounded in a year(n) = 12

Now, we have

[tex]A =P(1+\frac{r}{100n}) ^{nt}[/tex]

Putting all the values, we evaluate the amount,

[tex]A =30,000(1+\frac{2.16}{100*12}) ^{12*10}\\\\A = 30,000 * 1.240\\A = 37,225.84[/tex]

Hence, the Amount after Compound Interest = $37,225.87

Now, The loan amount that he pays = 300 *12*10 = $ 36,000

Yes, he will have enough money in the account to cover all of the required loan payments.

To read more about Compound Interest, visit https://brainly.com/question/29335425

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Given a right angle triangle:

As shown on the acute angles is 21

So,

And:

the third angle of the triangle =

The mode of a dataset is the data that happens most frequently. A dataset has more then one mode when the most frenquet data values happens the same number of times.

Let's put the dataset in ascending order:

As we can see, most data happens once and 18 and 19 happens twice each. So, both are the modes.

Since the given one is 18, the second mode is 19.

Okay, here we have this:

Considering the provided equation, we are going to solve it to find the value of y, so we obtain the following:

5/6= v-5 /4

v-5 /4+ 5 /4=5/6 + 5/4

v= 5/6 + 5/4

v=(20+30)/24

v=50/24

v=25/12

Finally we obtain that v is equal to 25/12.

We have the next graph

QR is the beam in red

ST is the beam in blue

As we can see the beams are not perpendicular because they do not intercept each other and they don't form a 90° angle between each other

In a linear model:

The coefficient of x, which is m, is the rate of change of the function f with respect to changes in the value of x. In the context of the problem, the coefficient of x tells us the amount of money that Jim earns per hour.

The constant term b is the initial value of the function f when x=0.

Since the given linear model has no constant term, it means that the initial value is 0. In other words, Jim will earn $0 if he works 0 hours.

Therefore, the correct choice is Option A) There is no initial amount of money he gets paid prior to starting.

Answer:

=====================

Answer:

[tex](x,y)=\left(\; \boxed{0,0} \; \right)\quad \textsf{(smaller $x$-value)}[/tex]

[tex](x,y)=\left(\; \boxed{\dfrac{1}{10},\dfrac{1}{200}} \; \right)\quad \textsf{(larger $x$-value)}[/tex]

Step-by-step explanation:

Given system of equations:

[tex]\begin{cases}2y=x^2\\ \;\;y=5x^3\end{cases}[/tex]

To solve by the method of substitution, substitute the second equation into the first equation and rearrange so that the equation equals zero:

[tex]\begin{aligned}y=5x^3 \implies 2(5x^3)&=x^2\\10x^3&=x^2\\10x^3-x^2&=0\\\end{aligned}[/tex]

Factor the equation:

[tex]\begin{aligned}10x^3-x^2&=0\\x^2(10x-1)&=0\end{aligned}[/tex]

Apply the zero-product property and solve for x:

[tex]x^2=0 \implies x=0[/tex]

[tex]10x-1=0 \implies x=\dfrac{1}{10}[/tex]

Substitute the found values of x into the second equation and solve for y:

[tex]\begin{aligned}x=0 \implies y&=5(0)^3\\y&=0\end{aligned}[/tex]

[tex]\begin{aligned}x=0 \implies y&=5\left(\dfrac{1}{10}\right)^3\\y&=5 \cdot \dfrac{1}{1000}\\y&=\dfrac{1}{200}\end{aligned}[/tex]

Therefore, the solutions are:

[tex](x,y)=\left(\; \boxed{0,0} \; \right)\quad \textsf{(smaller $x$-value)}[/tex]

[tex](x,y)=\left(\; \boxed{\dfrac{1}{10},\dfrac{1}{200}} \; \right)\quad \textsf{(larger $x$-value)}[/tex]

The probability of an event is obtained as follows:

Therefore, the probability that a student earns a grade of A, B or C=

Pr(a student earns a grade of A) + Pr(a student earns a grade of B) + Pr(a student earns a grade of C).

This becomes;

Hence, the probability that a student earns a grade of A, B or C is

Lets draw the following picture:

which corresponds to an acute triangle. In acute triangles, all the angles are less than 90°.

ANSWERS

(a) 7.61 USD

(b) 1247.98 MXN

EXPLANATION

We know that on March 8, 2017, 1 USD was worth 19.61 MXN.

(a) To find how many dollars was 149.23 MXN worth on that date, we have to divide this amount by 19.61,

Hence, 149.23 Mexican pesos were worth 7.61 US dollars.

(b) Now, to find how many Mexican pesos were 63.64 USD worth on that date, we have to multiply it by 19.61 instead,

Hence, 63.64 US dollars were worth 1247.98 Mexican pesos.

Complementary angles mean that they add up to 90.

Thus, we can write:

We can use algebra to find x:

To find measure of the individual angles, A and B, we simple plug in 7 into x of the expressions of A and B.

Angle A:

7(7) + 4 = 53 degrees

Angle B:

4(7) + 9 = 37 degrees

Answer:

  y = 2x +12

Step-by-step explanation:

You want the line through point (-3, 6) that is parallel to y = 2x -7.

The given line equation is in slope-intercept form ...

  y = mx + b . . . . . line with slope m and y-intercept b

This allows us to see that its slope is 2.

The parallel line will have the same slope. All we need to do is find its y-intercept.

Solving the above equation for 'b', we get ...

  b = y - mx

Using (x, y) = (-3, 6) and m = 2, we find 'b' to be ...

  b = 6 -(2)(-3) = 12

Using the values for m and b that we now know, the desired equation is ...

  y = 2x +12

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The total amount of numbers that can be made is equal to the product of the amount of options for each digit.

The first digit has only 6 options: 1, 2, 3, 4, 5, or 6.

The other six digits have 10 options: 0,1,2,...,9.

Then, the total amount of different telephone numbers is six million:

First, find the interest percentage. Divide the amount borrowed by the interest amount.

Then, divide the result by 100% to express it as a percentage.

Once we have the interest percentage as a decimal number, multiply it by the new borrowed amount.