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2 years ago

Find the value of x in the triangle shown below.

Mathematics

1 answer:

nika2105 [10]2 years ago

6 0

Answer:

$x = \sqrt{28}$

Step-by-step explanation:

Given,

Base of the triangle = 6

Hypotenuse of the triangle = 8

Let the height of the triangle = x

Therefore, According to Pythagoras Theorem,

${8}^{2} - {6}^{2} = {x}^{2}$

$= > 64 - 36 = {x}^{2}$

$= > 28 = {x}^{2}$

$= > x = \sqrt{28} (ans)$

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At a certain auto parts manufacturer, the Quality Control division has determined that one of the machines produces defective pa

11Alexandr11 [23.1K]

Answer:

Probability that fewer than 2 of these parts are defective is 0.604.

Step-by-step explanation:

We are given that at a certain auto parts manufacturer, the Quality Control division has determined that one of the machines produces defective parts 19% of the time.

A random sample of 7 parts produced by this machine is chosen.

The above situation can be represented through Binomial distribution;

$P(X=r) = \binom{n}{r}p^{r} (1-p)^{n-r} ; x = 0,1,2,3,.....$

where, n = number of trials (samples) taken = 7 parts

r = number of success = fewer than 2

p = probability of success which in our question is % of defective

parts produced by one of the machine, i.e; 19%

LET X = Number of parts that are defective

So, it means X ~ Binom(n = 7, p = 0.19)

Now, probability that fewer than 2 of these parts are defective is given by = P(X < 2)

P(X < 2) = P(X = 0) + P(X = 1)

= $\binom{7}{0}\times 0.19^{0} \times (1-0.19)^{7-0}+ \binom{7}{1}\times 0.19^{1} \times (1-0.19)^{7-1}$

= $1 \times 1 \times 0.81^{7} +7 \times 01.9^{1} \times 0.81^{6}$

= 0.604

Therefore, the probability that fewer than 2 of these parts are defective is 0.604.

8 0

2 years ago

The subject of the formula below is y. a=4x/t - p Rearrange the f make x the subject.

Crazy boy [7]

Answer:

x = t(a+p)/4

Step-by-step explanation

Given the expression

a=4x/t - p

We are to make x the subject of the formula

a=4x/t - p

Add p to both sides

a+p = 4x/t - p+p

a+p = 4x/t

Cross multiply

t(a+p) = 4x

Rearrange

4x = t(a+p)

Divide both sides by 4

4x/4 = t(a+p)/4

x = t(a+p)/4

4 0

2 years ago

What’s the correct answer?

nikdorinn [45]

Answer:

the triangle above is an isoceles triangle

therefore the base angles are equal

So we have:

X + X + 38= 180

2x = 180-38

2x = 142

X = 71°

6 0

2 years ago

Read 2 more answers

You drop a pencil out of window that is 20ft above the ground. Use the formula V^2=64s, where V is speed and s is the distance f

gizmo_the_mogwai [7]

First you substitute in the values so you have
V^2=(64)20
then you just simplify it
V^2=1280
V=the square root of 1280
V= about 35.7770876
or
V=the square root of 256 times the square root of 5
V=16 times the square root of 5

also V would typically be called velocity. it's very similar to speed but it is just easier to remember because it starts with a V

8 0

2 years ago

Find the critical value t a/2 needed to construct a confidence interval of the given level with the given sample size. level 95%

stepan [7]

Α = 1- (95/100) = 1-0.95 = 0.05

p = 1- α/2 = 1- 0.05/2 = 1-0.025 = 0.975

Degrees of freedom, df = Sample size -1 = 11-1 = 10

From t-tables, with cumulative probability pf 0.975 and df of 10,
Critical value = 2.228

7 0

2 years ago

Find the value of x in the triangle shown below.​

Find the value of x in the triangle shown below.