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Morena is painting her bedroom and has a triangle of space left over as shown below. What is the area of the space Morena still

aleksandrvk [35]

The answer is Letter c

7 0

2 years ago

In a survey of students, 80% were girls and 20% were boys. of the girls surveyed, 40% were wearing sneakers. if a surveyed stude

prisoha [69]

Answer:

$\frac{8}{25}$

Step-by-step explanation:

probability of selecting a girl from students is $\frac{4}{5}$

probability of girl wearing sneaker from girls is $\frac{4}{10}$ or $\frac{2}{5}$

hence, probability of selecting a girl wearing a sneaker will be,

⇒ probability = probability of delecting a girl from students × probability of girl wearing sneakers from girls

⇒ probability = $(\frac{4}{5})( \frac{2}{5})$

⇒ probability = $\frac{8}{25}$

3 0

2 years ago

The power generated by an electrical circuit (in watts) as a function of its current x xx (in amperes) is modeled by P ( x ) = −

marysya [2.9K]

Given:

The power generated by an electrical circuit (in watts) as a function of its current x (in amperes) is modeled by

$P(x)=-15x(x-8)$

To find:

The current which will produce the maximum power.

Solution:

We have,

$P(x)=-15x(x-8)$

$P(x)=-15x^2+120x$

Differentiate with respect to x.

$P'(x)=-15(2x)+120(1)$

$P'(x)=-30x+120$ ...(i)

To find the extreme point equate P'(x)=0.

$-30x+120=0$

$-30x=-120$

Divide both sides by -30.

$x=4$

Differentiate (i) with respect to x.

$P'(x)=-30(1)+(0)$

$P'(x)=-30$ (Maximum)

It means, the given function is maximum at x=4.

Therefore, the current of 4 amperes will produce the maximum power.

7 0

2 years ago

Of 560 samples of seafood purchased from various kinds of food stores in different regions of a country and genetically compared

frutty [35]

Answer:

a) (0.5256,0.5944)

c) Criticism is invalid

Step-by-step explanation:

We are given the following in the question:

Sample size, n = 560

Proportion of mislabeled = 56%

$\hat{p} = 0.56$

a) 90% Confidence interval:

$\hat{p}\pm z_{stat}\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}$

$z_{critical}\text{ at}~\alpha_{0.05} = \pm 1.64$

Putting the values, we get:

$0.56\pm 1.64(\sqrt{\dfrac{0.56(1-0.56)}{560}}) = 0.56\pm 0.0344\\\\=(0.5256,0.5944)$

b) Interpretation of confidence interval:

We are 90% confident that the true proportion of all seafood in the country that is mislabeled or misidentified is between 0.5256 and 0.5944 that is 52.56% and 59.44%.

c) Validity of criticism

Conditions for validity:

$np > 10\\n(1-p)>10$

Verification:

$560\times 0.56 = 313.6>10\\560(1-0.56) = 246.4>10$

Both the conditions are satisfied. This, the criticism is invalid.

8 0

2 years ago

Sal's Sandwich Shop sells wraps and sandwiches as part of its lunch specials. The profit on every sandwich is $2 and the profit

KIM [24]

<span>Since both functions follow the form of 2X + 3Y = c in general, where c is some constant, both functions will have the same slope as of -2/3. However, both graph will not have the same Y-intercept as the profits are different. Similarly, the X-intercept will also be different due to the profits.

I hope my answer has come to your help. Have a nice day ahead and may God bless you always!
</span>

8 0

2 years ago