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2 years ago

Which one are these paired to the solution

Mathematics

1 answer:

Soloha48 [4]2 years ago

7 0

Answer:

Option b and d.

Step-by-step explanation:

Given equation : -5x + 4y > -7

Putting the values of x and y one by one in the options,

a) Putting x as 6 and y as 4.

=> -5(6) + 4(4) > -7

=> -30 + 16 > -7

=> -14 > -7

This doesn't satisfy the inequality, hence this couldn't be the ordered pair.

Similarly,

b) Putting x as 5 and y as 5.

=> -5(5) + 4(5) > -7

=> -25 + 20 > -7

=> -5 > -7

This satisfies the inequality, hence this is the ordered pair.

c) Putting x as 3 and y as 2.

=> -5(3) + 4(2) > -7

=> -15 + 8 > -7

=> -7 > -7

This doesn't satisfy the inequality, hence this couldn't be the ordered pair.

d) Putting x as -2 and y as -4.

=> -5(-2) + 4(-4) > -7

=> 10 - 16 > -7

=> -6 > -7

This satisfies the inequality, hence this is the ordered pair.

Hope it helps :)

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The population standard deviation for the temperature of beers found in Scooter's Tavern is 0.26 degrees. If we want to be 90% c

siniylev [52]

Answer:

19 beers must be sampled.

Step-by-step explanation:

We have that to find our $\alpha$ level, that is the subtraction of 1 by the confidence interval divided by 2. So:

$\alpha = \frac{1 - 0.9}{2} = 0.05$

Now, we have to find z in the Z-table as such z has a p-value of $1 - \alpha$ .

That is z with a pvalue of $1 - 0.05 = 0.95$ , so Z = 1.645.

Now, find the margin of error M as such

$M = z\frac{\sigma}{\sqrt{n}}$

In which $\sigma$ is the standard deviation of the population and n is the size of the sample.

The population standard deviation for the temperature of beers found in Scooter's Tavern is 0.26 degrees.

This means that $\sigma = 0.26$

If we want to be 90% confident that the sample mean beer temperature is within 0.1 degrees of the true mean temperature, how many beers must we sample?

This is n for which M = 0.1. So

$M = z\frac{\sigma}{\sqrt{n}}$

$0.1 = 1.645\frac{0.26}{\sqrt{n}}$

$0.1\sqrt{n} = 1.645*0.26$

$\sqrt{n} = \frac{1.645*0.26}{0.1}$

$(\sqrt{n})^2 = (\frac{1.645*0.26}{0.1})^2$

$n = 18.3$

Rounding up:

19 beers must be sampled.

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2 years ago

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valentinak56 [21]

Answer:

C and E

Step-by-step explanation:

8 0

2 years ago

Read 2 more answers

A ray and a line intersect to form ∠1 and ∠2 as shown below.

Oksi-84 [34.3K]

Answer:

STEP 3

Step-by-step explanation:

Francesca drew point (–2, –10) on the terminal ray of angle , which is in standard position. She found values for the six trigonometric functions using the steps below.

A unit circle is shown. A ray intersects point (negative 2, negative 10) in quadrant 3. Theta is the angle formed by the ray and the x-axis in quadrant 1.

Francesca made her first error in step 3 because the sine, cosine, and tangent ratios are incorrect, which also resulted in incorrect cosecant, secant, and tangent functions.

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2 years ago

"The manager for State Bank and Trust has recently examined the credit card account balances for the customers of her bank and f

yuradex [85]

Answer:

$P(X = 4 ) = 0.1876$

$P(X \le 4) = 0.8358$

Step-by-step explanation:

From the question we are told that

The proportion that has outstanding balance is p = 0.20

The sample size is n = 15

Given that the properties of the binomial distribution apply, for a randomly selected number(X) of credit card

$X \ \ ~ Bin (n , p )$

Generally the probability of finding 4 customers in a sample of 15 who have "maxed out" their credit cards is mathematically represented as

$P(X = 4 ) = ^nC_4 * p^4 * (1 - p)^{n-4}$

=> $P(X = 4 ) = ^{15}C_4 * (0.20)^4 * (1 - 0.20)^{15-4}$

Here C stand for combination

=> $P(X = 4 ) = 0.1876$

Generally the probability that 4 or fewer customers in the sample will have balances at the limit of the credit card is mathematically represented as

$P(X \le 4) = [ ^{15}C_0 * (0.20)^0 * (1 - 0.20)^{15-0}]+[ ^{15}C_1 * (0.20)^1 * (1 - 0.20)^{15-1}]+\cdots+[ ^{15}C_4 * (0.20)^4 * (1 - 0.20)^{15-4}]$

=> $P(X \le 4) = 0.8358$

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3 years ago

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Alexxandr [17]

Value of x is 10

Step-by-step explanation:

Step 1: Here, x is the hypotenuse of the right angled triangle. Use the trigonometric ratio cosine to find x.

cos 28° = adjacent side/hypotenuse = 11/x

⇒ x = 11/cos 28° = 11/-0.96 = -11.46 ≈ 10 (rounding off to nearest tenth)

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3 years ago