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3 years ago

7. Given a right triangle as shown below, use a calculator to estimate the length of the

Mathematics

1 answer:

Wewaii [24]3 years ago

5 0

Answer:

D. 11.6 cm

Step-by-step explanation:

The missing length of the right angled triangle can be calculated using Pythagorean Theorem as shown below:

$c^2 - b^2 = a^2$

Where,

a = x cm

b = 11 cm

c = 16 cm

Thus:

$16^2 - 11^2 = x^2$

$256 - 121 = x^2$

$135 = x^2$

$\sqrt{135} = \sqrt{x^2}$

$\sqrt{135} = x$

$11.61895 = x$

$x = 11.6 cm$ (nearest tenth)

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A box contains four cards: One card is black on both sides, one card is red on both sides and two cards are black on one side an

allochka39001 [22]

Answer:

Step-by-step explanation:

A box contains four cards: One card is black on both sides, one card is red on both sides and two cards are black on one side and red on the other side. One card is selected at random and you can see only one side.i) If the side you see is black, what is the probability that the other side is black?ii) If the side you see is black, what is the probability that the other side is red?

Given that:

Number of cards = 4

x = Black on both sides = 1

y = Red on both sides = 1

z = Black on one side, red on one side = 2

.i) If the side you see is black, what is the probability that the other side is black = b

Probability of black

P(x) = 1/4 ; p(b|x) = 1

P(y) = 1/4 ; p(y|x) =

8 0

2 years ago

PLEASE HELP WILL MARK BRAINLIEST

vodomira [7]

Answer:

The angles are 54 2/3 degrees and 115 1/3 degrees

Step-by-step explanation:

make an equation for the angles x being one angle and y being the other

16+ 2x =y

Supplementary angles add to 180

x + y = 180

Fill in y with the first equation

x + 16 +2x =180

simplify

3x +16 =180

subtract 16 from both sides

3x = 164

divide both sides by 3

x = 54 2/3

Insert the value of x into the first equation then simplify

16 + 2(54 2/3) =y

16 + 109 1/3 =y

115 1/3 =y

8 0

2 years ago

The producer of a certain bottling equipment claims that the variance of all its filled bottles is .027 or less. A sample of 30

o-na [289]

Answer:

$p_v = P(\chi^2_{29}>42.963)=1-0.954=0.0459$

b. between .025 and .05

Step-by-step explanation:

Previous concepts and notation

The chi-square test is used to check if the standard deviation of a population is equal to a specified value. We can conduct the test "two-sided test or a one-sided test".

$\bar X$ represent the sample mean

n = 30 sample size

s= 0.2 represent the sample deviation

$\sigma_o =\sqrt{0.027}=0.164$ the value that we want to test

$p_v$ represent the p value for the test

t represent the statistic

$\alpha=$ significance level

State the null and alternative hypothesis

On this case we want to check if the population standard deviation is less than 0.027, so the system of hypothesis are:

H0: $\sigma \leq 0.027$

H1: $\sigma >0.027$

In order to check the hypothesis we need to calculate the statistic given by the following formula:

$t=(n-1) [\frac{s}{\sigma_o}]^2$

This statistic have a Chi Square distribution distribution with n-1 degrees of freedom.

What is the value of your test statistic?

Now we have everything to replace into the formula for the statistic and we got:

$t=(30-1) [\frac{0.2}{0.164}]^2 =42.963$

What is the approximate p-value of the test?

The degrees of freedom are given by:

$df=n-1= 30-1=29$

For this case since we have a right tailed test the p value is given by:

$p_v = P(\chi^2_{29}>42.963)=1-0.954=0.0459$

And the best option would be:

b. between .025 and .05

6 0

3 years ago

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Nataly_w [17]

Answer and Step-By-Step Explanation:

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3 years ago

What is the scale factor & what are the x & y values?

Anettt [7]

Answer:

Scale Factor = 3

x=45

y=75

Step-by-step explanation:

Scale Factor = 60/20 = 3

x=15*3=45

Y=25*3=75

8 0

3 years ago