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2 years ago

What is the value of x?

Mathematics

1 answer:

Reika [66]2 years ago

7 0

The bisector of an angle of a triangle divides the opposite side into segments that are proportional to the adjacent sides
VT/TK = VY/YK
95.2/168 = 34/YK
YK = (168·34)/95.2 = 60 cm
x = VY + YK = 34 + 60 = 94 cm

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1.32:3 1/7 =(1.4y): 5/6

alina1380 [7]

After solving $1.32:3 \frac{1}{7}=(1.4y):\frac{5}{6}$ we get y=0.24

Step-by-step explanation:

We need to solve the ratio: $1.32:3 \frac{1}{7}=(1.4y):\frac{5}{6}$ and find value of y

Solving:

$1.32:3 \frac{1}{7}=(1.4y):\frac{5}{6}$

Converting fractions into decimals

$1.32:3.14=(1.4y):0.83$

Ratio can be written as:

$\frac{1.32}{3.14}=\frac{1.4y}{0.83}$

Now cross multiply

$1.32*0.83=1.4y*3.14$

$1.09=4.39y$

$y=\frac{1.09}{4.39}$

$y=0.24$

So, after solving $1.32:3 \frac{1}{7}=(1.4y):\frac{5}{6}$ we get y=0.24

Keywords: Ratio

Learn more about Ratios at:

#learnwithBrainly

6 0

2 years ago

A high percentage of people who fracture or dislocate a bone see a doctor for that condition. Suppose the percentage is 99%. Con

marishachu [46]

Answer:

(i) 0.15708

(ii) 0.432488

(iii) 3

Step-by-step explanation:

Given that, 99% of people who fracture or dislocate a bone see a doctor for that condition.

There is only two chance either the person having fracture or dislocation of bone will either see the doctor or not.

As per previous data, if one person got a fracture or dislocation of bone, the chance of seeing the doctor is 0.99. Assuming this chance is the same for every individual, so the total number of people having fractured or dislocated a bone can be considered as Bernoulli's population.

Let p be the probability of success represented by the chances of not seeing a doctor by any one individual having fractured or dislocated a bone.

So, p=1-0.99=0.01

According to Bernoulli's theorem, the probability of exactly r success among the total of n randomly selected from Bernoulli's population is

$P(r)=\binom{n}{r}p^r(1-p)^{n-r}\cdots(i)$

(i) The total number of persons randomly selected, n=400.

The probability that exactly 5 of them did not see a doctor

So, r=5 , p=0.01

Using equation (i),

$P(r=5)=\binom{400}{5}(0.01)^5(1-0.01)^{400-5}$

$=\frac{400!}{(400-5)!\times 5!}(0.01)^5(0.99)^{395}$

=0.15708

(ii) The probability that fewer than four of them did not see a doctor

$=P(r$

$=P(r=0)+P(r=1)+P(r=2)+P(r=3)$

$=\binom{400}{0}(0.01)^0(0.99)^{400}+\binom{400}{1}(0.01)^1(0.99)^{399}+\binom{400}{2}(0.01)^2(0.99)^{398}+\binom{400}{3}(0.01)^3(0.99)^{397}$

$=0.017951+0.072527+0.146154+0.195856$

$=0.432488$

(iii) The expected number of people who would not see a doctor

$=np$

$=300\times 0.01$

7 0

2 years ago

A car manufacturer advertises that its new sports car has a turning radius of only 16 feet. The front tires are 4.5 feet apart.

Simora [160]

Answer:

12.5..............................

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1 year ago

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The Graduate Record Examination and the Miller’s Analogy Test are generally used for _______________.

kicyunya [14]

Answer:

Step-by-step explanation:

The graduate record examination is a standard test for the selection process of graduate schools and is a requirement. It tests the abstract thinking is areas of analytical writing, mathematics and vocabulary.

The millers analogy test is used for graduate school admissions and admissions to high IQ institutions. It is a verbal or computer based assessment aiming to test the individuals logical and analytical skills by using partial analogies.

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2 years ago

What is the range of the function represented by the graph?

sergejj [24]

The correct answer is C. y> 1

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2 years ago

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