The Howard’s are saving up to go on a family vacation in 2 years. They invest 2300 into an account with an annual interest rate of 1.23%

Answer:

I think option a is correct

Answer:

18 miles / hour

Answer: 36/12 = 3

Step-by-step explanation:

Answer:

The expression should be something like: 36/12

Answer:

0.5944 = 59.44% probability that the team has at least 2 grade 11 students

Step-by-step explanation:

The students are chosen without replacement, which means that the hypergeometric distribution is used to solve this question.

Hypergeometric distribution:

The probability of x successes is given by the following formula:

\(P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}\)

In which:

x is the number of successes.

N is the size of the population.

n is the size of the sample.

k is the total number of desired outcomes.

Combinations formula:

\(C_{n,x}\) is the number of different combinations of x objects from a set of n elements, given by the following formula.

\(C_{n,x} = \frac{n!}{x!(n-x)!}\)

We have that:

6 + 8 = 14 students, which means that \(N = 14\)

6 grade 11 students means that \(k = 6\)

Teams of 4 members means that \(n = 4\)

What is the probability that the team has at least 2 grade 11 students?

This is:

\(P(X \geq 2) = 1 - P(X < 2)\)

In which

\(P(X < 2) = P(X = 0) + P(X = 1)\)

So

\(P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}\)

\(P(X = 0) = h(0,14,4,6) = \frac{C_{6,0}*C_{8,4}}{C_{14,4}} = 0.0699\)

\(P(X = 1) = h(1,14,4,6) = \frac{C_{6,1}*C_{8,3}}{C_{14,4}} = 0.3357\)

Then

\(P(X < 2) = P(X = 0) + P(X = 1) = 0.0699 + 0.3357 = 0.4056\)

\(P(X \geq 2) = 1 - P(X < 2) = 1 - 0.4056 = 0.5944\)

0.5944 = 59.44% probability that the team has at least 2 grade 11 students

Answer:

\( \cos( \alpha ) = \frac{7}{25} \\ \alpha = (73.73979529169) \\ \ \sin(73.73979529169) = \frac{h}{25} \\ h = \sin(73.73979529169) \times 25 \\ h = 24\)

Answer:

no question

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Answer:

see explanation

Step-by-step explanation:

first fill out all sides of the triangle (use pythagorean theorem).

9^2 = 4^2+x^2

x^2 = 81-8 --> x^2 = 73 --> x = √73

csc theta --> hyp/opp

sin theta --> opp/hyp

cot theta --> adj/opp

hyp = 9, adj = 4, opp = √73

csc = 9/√73 --> 9√73/73

sin = √73/9

cot = 4/√73

If the coordinates of X, Y, Z, and W on a number line are - 6, -2, 4, and 8, respectively, then the lengths of the segment XY is 4 and that of the segment ZW is also 4, and hence, these two segments (XY and YZ) are indeed Congruent in nature.

To increase the understandability of this question, we will go ahead a visual representation of the number line based on the condition mentioned in the question statement, attached hereby as "Number Line (-10 to 10)".

As per the figure, we can clearly see that the line segment XY begins at (-6) on the number line and ends at (-2), i.e., Length of XY is:

[(-2) - (-6)] = 4.

Similarly, we can also see that the line segment ZW begins at (4) on the number line and ends at (8), i.e., Length of ZW is:

(8 - 4) = 4.

Also, since the lengths of both XY and ZW are same, i.e., 4 Units, they are congruent in nature.

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Answer:

The first one

Step-by-step explanation:

She cant buy anything over $15, but she can buy something thats $15 :))

Answera and Step-by-step explanation: Correlation Coefficient is the measure of how strong two variables are. There are numerous types of correlation coefficients and the product moment correlation coefficient, also known as Pearson's correlation or Pearson's R is most commonly used in linear regression. The formula to calculate it is:

r = n(∑xy) - (∑x)(∑y) / √[∑x² - (∑x)²].[n∑y² - (∑y)²]

To find the value of R:

1) Separate the values of X and Y and out them in 2 columns.

2) Add 3 more columns: for xy, x² and y²;

3) Find the values of each column;

4) Add each column;

5) Put the sum of each column in its place on the formula above;

6) Find the correlation.

i) For this question, r = 0.9645. As it's positive, means that the two variables are directly linked, i.e., an increase in one variable will produce an increase in the other variable in the same proportion.

ii) The Senator should distribute Norvasc to the old adults groups, because, as the population grows, the death associated with high blood pressure will also grow, as explained by the correlation coefficient.

Answer:

27lbs

Step-by-step explanation:

$132 divide by 22lbs = 6 dollars per pound

then divide 162 dollars by 6 to see how many pounds you can get = 27

Answer:

D

Step-by-step explanation:

it is not a parabola-not exponent, so no U shapes, and has a negative slope, which means it is heading downards

Answer:

it sohuld be D

Step-by-step explanation:

i hope this helps!!:)

We want to round up $374 to the nearest ten dollars,

We round down the unit value which is 4 to zero and we obtain;

Therefore, Trixie has saved $370

The outcomes that are contained in the events are

1 - P(X) = 4/5 and 1 - P(X) is the same as P(Not X)

From the question, we have the following parameters that can be used in our computation:

X = gray colours

Given that

gray colours = 3 and 10

We have

X = 3 and 10

Not X =1, 2, 4, 5, 6, 7, 8

The probability is then calculated as

P(X) = 2/10 = 1/5

For P(Not X), we have

P(Not X) = 1 - 1/5 = 4/5

In (a), we have

P(Not X) = 1 - 1/5 = 4/5

This means that

P(Not X) = 1 - P(X)

So, the solution is

1 - P(X) = 4/5

Using the above (a) and (b) as a guide, we have the following:

1 - P(X) is the same as P(Not X)

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Answer:

(- ∞ , 2 )

Step-by-step explanation:

{ x | x < 2 } is expressed in interval notation as

(- ∞, 2 )

\(\textit{area of a sector of a circle}\\\\ A=\cfrac{\theta r^2}{2} ~~ \begin{cases} r=radius\\ \theta =\stackrel{radians}{angle}\\[-0.5em] \hrulefill\\ \theta =\frac{\pi }{2}\\[1em] r=\frac{8}{3} \end{cases}\implies A=\cfrac{1}{2}\cdot \cfrac{\pi }{2}\cdot\left( \cfrac{8}{3} \right)^2 \\\\\\ A=\cfrac{1}{2}\cdot \cfrac{\pi }{2}\cdot \cfrac{64}{9}\implies A=\cfrac{16\pi }{9}\implies A\approx 5.59\)

Answer:

1.5 hours  

Step-by-step explanation:

Answer:

1.5 hours

Step-by-step explanation:

15 men can dig a trench 90 feet deep in 3 hours. So, first, we have to divide 90 by 3 to find the depth that 15 men can dig in 1 hour.

90/3 = 30

Next, we need to divide 30 by 15 to find how deep 1 man can dig in 1 hour.

30/15=2.

Now, since there are 16 men in this second project, we need to multiply 16 by 2 to find how much 16 men can dig in 1 hour.

16x2 = 32.

Finally, we have to add 16 to get 48.

Since we added the depth for 1 hour plus the depth for half an hour to get the total depth, we can say that 16 men can dig 48m in 1.5 hours.

Answer:

  B.  A point

Step-by-step explanation:

You want a description of the intersection between a plane and a cone given that the plane is parallel to the base and passes through the vertex of the cone.

The vertex of a cone is a single point. If a plane passes through that, but does not intersect the base of the cone, it will not intersect anywhere else.

The intersection is one point.

__

Additional comment

Figure f in the attachment illustrates this case.

The answer is B, I just answered this question on my quiz.

if we will divide 137 with 100 and then multiply it with 680 you will gett your answer

the answer is 931.6

Answer:

931.6

Step-by-step explanation:

We need to change the percent to decimal form.

137%  = 1.37

Multiply this by 680.

1.37 * 680

931.6

Step-by-step explanation:

x = 180-106 = 74°

y = x/2 = 74/2 = 37°

4z+6 =106

4z = 100

z = 25°

Answer:

-1/2

Step-by-step explanation:

-2(4x - 3) = 10

First distribute the -2 to 4x and -3; it turns into

-8x + 6 = 10

The subtract 6 on both sides which equals

-8x = 4

Then divide -8 on both sides...

x = -4/8 or -1/2

The equation of each line that satisfies the given conditions are:

1. y - 2 = 5/2(x - 3)

2. y - 4 = m(x + 3)

3. y = -3x + 5

1. Given the points, (3, 2) and (5, 7), find the slope (m):

Slope (m) = change in y / change in x = (7 - 2)/(5 - 3)

m = 5/2

Write the equation in point-slope form by substituting m = 5/2 and (a, b) = (3, 2) into y - b = m(x - a):

y - 2 = 5/2(x - 3)

2. Given:

A point = (-3, 4)

Slope (m) = 2

Substitute (a, b) (-3, 4), and m = 2 into y - b = m(x - a):

y - 4 = m(x + 3) [equation of the line]

3. Given:

Slope (m) = -3

Y-intercept (b) = 5

Substitute m = -3 and b = 5 into the equation y = mx + b:

y = -3x + 5

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