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3 years ago

Solve the equation 5y + 7x = -2 for y. оу — --- 7 X y=-10 – 35x o y = 35x – 10 y=

Mathematics

1 answer:

Tanya [424]3 years ago

4 0

Answer:

y = $-\frac{7}{5} x - \frac{2}{5}$

Step-by-step explanation:

5y + 7x = -2

5y = -7x - 2

y = -(7x)/5 - 2/5 = $-\frac{7}{5} x - \frac{2}{5}$

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The product of 3p and q - 3.

shusha [124]

The product of 3p and q-3 would be put in to equation form like this: 3p(q-3)

To find your answer. You have to distribute the 3p to by individually multiplying it by q and -3

It should now look like this: $3pq -9p$

So your answer is: $3pq -9p$

8 0

4 years ago

A woman is randomly selected from the 18–24 age group. For women of this group, systolic blood pressures (in mm Hg) are normally

Naddik [55]

Answer:

$X \sim N(114.8,13.1)$

Where $\mu=114.8$ and $\sigma=13.1$

We are interested on this probability

$P(X>140)$

And the best way to solve this problem is using the normal standard distribution and the z score given by:

$z=\frac{x-\mu}{\sigma}$

If we apply this formula to our probability we got this:

And we can find this probability using the complement rule:

$P(z>1.924)=1-P(z$

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

Solution to the problem

Let X the random variable that represent the variable of interest of a population, and for this case we know the distribution for X is given by:

$X \sim N(114.8,13.1)$

Where $\mu=114.8$ and $\sigma=13.1$

We are interested on this probability

$P(X>140)$

And the best way to solve this problem is using the normal standard distribution and the z score given by:

$z=\frac{x-\mu}{\sigma}$

If we apply this formula to our probability we got this: $P(X>140)=P(\frac{X-\mu}{\sigma}>\frac{140-\mu}{\sigma})=P(Z>\frac{140- 1114.8}{2.6})=P(z>1.924)$ And we can find this probability using the complement rule:

$P(z>1.924)=1-P(z$

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4 years ago

The ratio of the numerator to the denominator of a fraction is 2 to 3. If both the numerator and the denominator are increased b

lesya692 [45]

N/d = 2/3 -------------------> 3n = 2d

(n + 2)/(d + 2) = 3/4 ------> 4n + 8 = 3d + 6

6 0

4 years ago

Read 2 more answers

Your allowance increases by $2 every month. You started earning $20 per month. Write a formula to find how much allowance you wi

NemiM [27]

Answer:

$20 +$2n

Step-by-step explanation:

3 0

3 years ago

Please help me: Ten athletes ran two races of the same length. The scatter plot shows their times. Identify each of these statem

Lemur [1.5K]

The scatter plot has been attached

Answer:

Options C, D & E are true

Step-by-step explanation:

Option A is wrong because from the scatter plot, only four athletes were faster in the second race than in the first one.

Option B is wrong because only 1 athlete had his second race time differing from the first race time by exactly 2 seconds.

Option C is true because exactly 9 of the times for the first race were at least 16 seconds

Option D is true because there are exactly 3 athletes who had the same time in both races

Option E is true because 8 of the times for the second race were less than 17 seconds

4 0

3 years ago

Solve the equation 5y + 7x = -2 for y. оу — --- 7 X y=-10 – 35x o y = 35x – 10 y=​

Solve the equation 5y + 7x = -2 for y. оу — --- 7 X y=-10 – 35x o y = 35x – 10 y=