The cost of 6 cups is £7.80 Work out the cost of 10 of these cups,

6m^2 + 7n Identify the constant, variable, and terms

Leokris [45]

<h3>Answer:</h3>

Given equation :- 6m² + 7n

where,

Constant = 0.
Variable = m, n.
Terms = 6m² , 7n.

6 0

3 years ago

Thirty-three college freshmen were randomly selected for an on-campus survey at their university. The participants' mean GPA was

Ivan

Answer: $\pm0.1706$

Step-by-step explanation:

Given : Sample size : n= 33

Critical value for significance level of $\alpha:0.05$ : $z_{\alpha/2}= 1.96$

Sample mean : $\overline{x}=2.5$

Standard deviation : $\sigma= 0.5$

We assume that this is a normal distribution.

Margin of error : $E=\pm z_{\alpha/2}\dfrac{\sigma}{\sqrt{n}}$

i.e. $E=\pm (1.96)\dfrac{0.5}{\sqrt{33}}=\pm0.170596102837\approx\pm0.1706$

Hence, the margin of error is $\pm0.1706$

7 0

3 years ago

A package contains 12 resistors, 3 of which are defective. If 4 are selected, find the probability of getting

s344n2d4d5 [400]

Answer:

Incomplete question, but I gave a primer on the hypergeometric distribution, which is used to solve this question, so just the formula has to be applied to find the desired probabilities.

Step-by-step explanation:

The resistors 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.

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

In this question:

12 resistors, which means that $N = 12$

3 defective, which means that $k = 3$

4 are selected, which means that $n = 4$

To find an specific probability, that is, of x defectives:

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

$P(X = x) = h(x,12,4,3) = \frac{C_{3,x}*C_{9,4-x}}{C_{12,4}}$

7 0

3 years ago

Can someone please answer. There is one problem. There's s picture. Thank you!

Pepsi [2]

The correct answer is the first option, 23.1 miles.

Knowing that the sum of the triangle's interior angles should equal a measure of 180°, you can start off by solving for the missing interior angle, near the library.

Since this is a right triangle (meaning one of the angles is 90°), and the other angle is given (57°), simply subtract these two values from 180° to get $180-(57+90)=33\textdegree.$

Next, use the Law of Sines (stated below) which will allow you to solve for the missing distance from the radio tower to the library in miles, using the angle measures and height from the tower to the balloon that you've found.

$\frac{\sin(A)}{a} = \frac{\sin(B)}{b}$

For this problem, we'll let the height of the hot air balloon be $a=15$ and its respective opposite angle be $A=33\textdegree$ , and let the missing x-distance be $b$ , with its respective opposite angle $B=57\textdegree$ . Note, we're solving for $b$ .

$\frac{\sin(33)}{15} = \frac{\sin(57)}{b} \\ \\
b\times sin(33)=15\times \sin(57) \\ \\
b=\frac{15\times \sin(57)}{sin(33)} \\ \\
b\approx \frac{15\times 0.84}{.54} \\ \\
b\approx \frac{12.6}{.54} \\ \\
b\approx \frac{12.6}{.54} \\ \\
b\approx 23.3$

Because there was a lot of approximation in the above operations, the answer doesn't exactly match any of the answer options in the question. However, it's very close to the first option, 23.1 miles, so that must be the correct answer.

8 0

3 years ago

Sorry i know it is too blurry but can u at least try

raketka [301]

Answer:

Step-by-step explanation:

Draw your figures the same way as I did, and see if you understand the explanations before writing them down. It's most important to learn from your work :)

7 0

3 years ago