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3 years ago

Choose the point-slope form of the line passing through (3.5) with a slope of -3.

Mathematics

1 answer:

FrozenT [24]3 years ago

7 0

Answer:

y-5=-3(x-3)

Step-by-step explanation:

y-y1=m(x-x1)

y-5=-3(x-3)

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Which of these numbers is composite?7,9,23,47,67

Tresset [83]

Answer:9 is the only one

Step-by-step explanation:

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3 years ago

The product of two consecutive odd positive numbers is 399. Find the two numbers

abruzzese [7]

Two consecutive odd number have the form: 2n+1; 2n+3.
We have:
(2n+1)(2n+3)=399
=> 4x^2+8x+3=399
=> 4x^2+8x-396=0
=> 4(x+11)(x-9)=0
=> x=-11; x=9

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3 years ago

Skylar needs $56 to buy a new video game. If he doubles the amount of money he has now, he will have enough to buy the game with

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Skylar have 66 Dollars left

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4 years ago

Solve 4a = 20

olya-2409 [2.1K]

Here's the solutions :

1. solve for a :

$4a = 20$

$a = \dfrac{20}{4}$

$a = 5$

2. solve for y :

$3y + 9 = 24$

$3y = 24 - 9$

$3y = 15$

$y = \dfrac{15}{3}$

$y = 5$

3. solve for y :

$\dfrac{y}{3} - 5 = 4$

$\dfrac{y}{3} = 5 + 4$

$\dfrac{y}{3} = 9$

$y = 9 \times 3$

$y = 27$

4. solve for k :

$3 = 9 - 4k$

$3 - 9 = -4 k$

$- 6 = - 4 k$

$k = \dfrac{ - 6}{ - 4}$

$k = \dfrac{3}{2} \: \: \: or \: \: 1.5$

5. there's something wrong with this question.

6. solve for x :

$3x + 8 = 2$

$3x = 2 - 8$

$3x = - 6$

$x = \dfrac{ - 6}{3}$

$x = - 2$

i hope it helped...

6 0

3 years ago

Read 2 more answers

Mopeds (small motorcycles with an engine capacity below 50 cm3) are very popular in Europe because of their mobility, ease of op

Mashcka [7]

Answer:

a) P(X<50)=0.9827

b) P(X>47)=0.4321

c) P(-1.5<z<1.5)=0.8664

Step-by-step explanation:

We will calculate the probability based on a random sample of one moped out of the population, normally distributed with mean 46.7 and standard deviation 1.75.

a) This means we have to calculate P(x<50).

We will calculate the z-score and then calculate the probability accordign to the standard normal distribution:

$z=\dfrac{X-\mu}{\sigma}=\dfrac{50-46.7}{1.75}=\dfrac{3.7}{1.75}=2.114\\\\\\P(X$

b) We have to calculatee P(x>47).

We will calculate the z-score and then calculate the probability accordign to the standard normal distribution:

$z=\dfrac{X-\mu}{\sigma}=\dfrac{47-46.7}{1.75}=\dfrac{0.3}{1.75}=0.171\\\\\\P(X>47)=P(z>0.171)=0.4321$

c) If the value differs 1.5 standard deviations from the mean value, we have a z-score of z=1.5

$z=\dfrac{(\mu+1.5\sigma)-\mu}{\sigma}=\dfrac{1.5\sigma}{\sigma}=1.5$

So the probability that maximum speed differs from the mean value by at most 1.5 standard deviations is P(-1.5<z<1.5):

$P(-1.5$

3 0

3 years ago