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pishuonlain [190]
3 years ago
6

PLEADE HELP ILL WILL GIVE GAFT BRAINLIEST BRAINLIEST PLEAS EPLEASE PLEASE

Mathematics
1 answer:
liq [111]3 years ago
8 0

Answer:

The constant of proportionality is the ratio between two directly proportional quantities. Two quantities are directly proportional when they increase and decrease at the same rate.

The constant of proportionality k is given by k=y/x where y and x are two quantities that are directly proportional to each other. Once you know the constant of proportionality you can find an equation representing the directly proportional relationship between x and y, namely y=kx, with your specific k.

Hope this helps!

Step-by-step explanation:

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How to solve using substitution
DiKsa [7]
X+5 = x^2 - x + 2
0 = x^2 -2x - 3
0 = (x-3)(x+1)

x = -1,3

y = -1 + 5 OR y = 3+5
y = 4 OR y = 8

y = 4,8

So we have two ordered pairs, (-1,4) and (3,8).

Hope that helped!

can you mark my answer as brainliest btw?

4 0
3 years ago
The varsity basketball team made 14 out of 22 shots. The junior varsity team made 14 out of 28 shots. Determine whether the rati
erma4kov [3.2K]
Varsity = 14/22
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6 0
3 years ago
In a population of similar households, suppose the weekly supermarket expense for a typical household is normally distributed wi
Rina8888 [55]

Answer:

P(Y ≥ 15) = 0.763

Step-by-step explanation:

Given that:

Mean =135

standard deviation = 12

sample size n  = 50

sample mean \overline x = 140

Suppose X is the random variable that follows a normal distribution which represents the weekly supermarket expenses

Then,

X \sim N ( \mu \sigma)

The probability that X is greater than 140 is :

P(X>140) = 1 - P(X ≤ 140)

P(X>140) = 1 - P( \dfrac{X-\mu}{\sigma} \leq \dfrac{140-135}{12})

P(X>140) = 1 - P( \dfrac{X-\mu}{\sigma} \leq \dfrac{5}{12})

P(X>140) = 1 - P( Z\leq0.42)

From z tables,

P(X>140) = 1 - 0.6628

P(X>140) = 0.3372

Similarly, let consider Y to be the variable that follows a binomial distribution of the no of household whose expense is greater than $140

Then;

Y \sim Binomial (np)

Y \sim Binomial (50,0.3372)

∴

P(Y ≥ 15) = 1- P(Y< 15)

P(Y ≥ 15) = 1 - ( P(Y=0) + P(Y=1) + P(Y=2) + ... + P(Y=14) )

P(Y \geq 15) = 1 - \begin {pmatrix} ^{50}_0 \end {pmatrix} (0.3372)^0 (1-0,3372)^{50} + \begin {pmatrix} ^{50}_1 \end {pmatrix} (0.3372)^1 (1-0,3372)^{49}  + \begin {pmatrix} ^{50}_2 \end {pmatrix} (0.3372)^2 (1-0,3372)^{48} +...  + \begin {pmatrix} ^{50}_{50{ \end {pmatrix} (0.3372)^{50} (1-0,3372)^{0}

P(Y ≥ 15) = 0.763

7 0
3 years ago
A 10 ft. tent pole has a support rope that extends from the top of the pole to the ground. The rope and the ground form a 30 deg
GrogVix [38]
So you have a pole that is 10 feet tall that has a rope that goes from the top to the ground, the rope being 30 degrees to the ground... You can draw a right triangle using these dimensions. Now that you have a triangle, you look at where your 30degree angle is related to the side whose length you know and the side whose length you wish to find. The side you know is opposite from the 30 degrees while the side you want to find is the hypotenuse, for it goes down at an angle. You will use the opposite and hypotenuse sides, so, according to SOH CAH TOA, you will be using sin.
\frac{opposite}{hypotenuse}=sin\theta,\theta=30,opposite=10,hypotenuse=?
plug in those values and solve for your hypotenuse.
The easiest way to do this is if you knew the identities for special right triangles like the 30 60 90 triangles or the 45 45 90 triangles, but I showed you how to solve for your sides even if they're not special
6 0
3 years ago
Read 2 more answers
Han spent 75 minutes practicing the piano over the weekend. Tyler practiced the clarinet for 64% as much time as Han practiced t
prisoha [69]

Answer: Priya practiced for <u>189 minutes </u>

Tyler practiced for <u>123 minutes </u>

-------------------------------------------------------------------------------------------------------------

The Explanation:  Now, Han spent 75 minutes practicing the piano over the weekend

Then, Priya practiced the violin for 152% as much time as Han practiced the piano.

Priya = 152% of 75 minutes + 75 minutes

= 152/100 × 75 + 75

= 1.52 × 75 + 75

= 114 + 75

= 189 minutes

Finally, Priya practiced for <u>189 minutes</u>

-------------------------------------------------------------------------------------------------------------

Tyler practiced the clarinet for 64% as much time as Han practiced the piano.

Tyler = 64% of 75 minutes + 75 minutes

= 64/100 × 75 minutes + 75 minutes

= 64 / 100 × 75 + 75

= 0.64 × 75 + 75

= 48 + 75

= 123 minutes

Lastly, Tyler practiced for <u>123 minutes</u>

8 0
3 years ago
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