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2 years ago

PLEASE HELP ME 12 POINTS

Mathematics

1 answer:

m_a_m_a [10]2 years ago

3 0

Answer:

∡A = 48°

∡B = 58°

∡BCA = 74°

Step-by-step explanation:

start by finding m∡BCA; this angle is supplementary with ∡BCD and the pair must add up to 180. therefore, m∡BCA = 74°

all three interior angles of a triangle must add up to 180:

74 + 4y + 3y + 22 = 180

96 + 7y = 180

7y = 84

y = 12

substitute '12' for 'y' in 3y + 22 to get 58

substitute '12' for '4y' to get 48

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Sav [38]

Answer:

(-2, -4.5) is the answer!

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2 years ago

Read 2 more answers

an ice cream company did a survey among high school students. it was found that 86 students liked vanilla ice cream and 48 of th

Kitty [74]

Answer:

300

Step-by-step explanation:

Students like Vanilla ice cream = 86

Out of 86 Students like chocolate ice cream too = 48

So, No. of students who like only vanilla=86-48 = 38

There were 12 students who did not like vanilla ice cream but liked chocolate ice cream.

There were 2 students who did not like either vanilla ice cream or chocolate ice

Like Vanilla Did not like vanilla Total

Like Chocolate 48 12 60

Did not like chocolate 38 2 40

Total 86 14 100

No. of students who like chocolate out of 100 = 60

Now we are supposed to find the number of students who would like chocolate ice cream when 500 high school students participate in the survey.

Let x be the number of students out of 500 who like chocolate

So, A.T.Q

$\frac{60}{100}=\frac{x}{500}$

$\frac{60}{100} \times 500=x$

$300=x$

Hence the number of students who would like chocolate ice cream when 500 high school students participate in the survey is 300.

4 0

3 years ago

5x + 5 equals 16 - 6x

bulgar [2K]

Answer:x=1

Step-by-step explanation:

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3 years ago

Write an equation of the line that passes through 9, 6 and is perpendicular to the line whose equation is y equals -1 over 3 x +

asambeis [7]

If the line that goes through (9, 6) is perpendicular to y = -1/3x + 7, then their slopes will be opposite reciprocals. The slope of the line given is -1/3. The opposite reciprocal of -1/3 is +3. If we have our new line passing through point with x coordinate 9 and y coordinate 6, we will use that x and y and the slope of 3 to solve the slope-intercept equation for b. Like this: 9 = 3(6) + b. 9 = 18 + b and b = -9. That means that the new equation, the one that is perpendicular to the given line, is y = 3x - 9.

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3 years ago

A manufacturing facility produces rolls of tape. Among all of the rolls of tape produced, the mean length of the tape on a roll

Anna [14]

Answer:

$P(\bar X< 651.1) =P(\bar X< \frac{651.1-651.25}{\frac{0.73}{\sqrt{78}}}= -1.815$

And using the normal atandard table or excel we got:

$P(z$

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".

The central limit theorem states that "if we have a population with mean μ and standard deviation σ and take sufficiently large random samples from the population with replacement, then the distribution of the sample means will be approximately normally distributed. This will hold true regardless of whether the source population is normal or skewed, provided the sample size is sufficiently large".

Solution to the problem

Let X the random variable that represent the length of the tape of a population, and for this case we know the following parameters

Where $\mu=651.25$ and $\sigma=0.73$