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2 years ago

At a school with 100 students, 40 students are taking Arabic, 35 Bulgarian, and 25

Mathematics

1 answer:

Ad libitum [116K]2 years ago

4 0

A no students are taking all 3 languages
B 41 students are taking no language sorry if I’m wrong have a great day

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Find the equation of the straight line passing through the point (0,1) which is perpendicular to the line y= -2x + 2

mylen [45]

Answer:

y = 1/2x + 1

In order to evaluate a slope that is perpendicular to the given equation, you need to find the opposite reciprocal of the original slope. This means you take the original slope, flip the numerator and the denominator, and change the sign in front.

-2 ⇒ 1/2

Next, we need to substitute the information given into the point-slope formula.

The point-slope formula is:

y - y₁ = m(x - x₁)

y - 1 = 1/2(x - 0)

y - 1 = 1/2x

y = 1/2x + 1

Therefore, the line perpendicular to y = -2x + 2 is y = 1/2x + 1.

6 0

2 years ago

Y = -2x2 + 10 y = -2x – 2

34kurt

Answer:

x = 6

y = - 14

Step-by-step explanation:

$\left \{y=-2x2 + 10y} \atop {y=-2x -2}} \right.$

-2x × 2 + 10 = - 2x - 2
x = 6
y = -2 × 6 - 2 = - 14

4 0

3 years ago

Read 2 more answers

Determine if true:<br> 24+24-8x2=80

Savatey [412]

Answer:true

Explanation:
24+24=48
48-8=40
40x2=80
80=80!

So it is true.

5 0

2 years ago

A pharmaceutical company receives large shipments of aspirin tablets. The acceptance sampling plan is to randomly select and tes

Anvisha [2.4K]

Answer:

Probability will be 0.5779

Step-by-step explanation:

Number of tablets n = 19

Probability of defect rems that is p = 0.03

Here number of trials is fixed and probability of success = 0.03

Here p = 0.03

So q = 1 - p = 1 -0.03 = 0.97

By using binomial distribution

Probability is given by $^nC_rp^rq^{n-r}$

So P(0 or 1) = $^{19}C_0{0.03}^0{0.97}^{19-0}+^{19}C_1{0.03}^1{0.97}^{19-1}=0.5606+0.0173=0.5779$

4 0

3 years ago

Use the normal distribution of SAT critical reading scores for which the mean is 502 and the standard deviation is 116. Assume t

PSYCHO15rus [73]

Answer:

(a) 93.19%

(b) 267.3

Step-by-step explanation:

The population mean and standard deviation are given as 502 and 116 respectively.

Consider, <em>X</em> be the random variable that shows the SAT critical reading score is normally distributed.

(a) The percent of the SAT verbal scores are less than 675 can be calculated as:

$P(X$

Thus, the required percentage is 93.19%

(b)

The number of SAT verbal scores that are expected to be greater than 575 can be calculated as:

$P(X>575)=P(\frac{x-502}{116}>\frac{575-502}{116}\\P(X>575)=P(Z>\frac{575-502}{116})\\P(X>575)=P(Z>0.6293)\\P(X>575)=0.2673$

So,

Out of 1000 randomly selected SAT verbal scores, 1000(0.2673) = 267.3 are expected to have greater than 575.

8 0

2 years ago