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3 years ago

Solve for x. Your answer may be in decimal form. Round to the nearest tenth. Help me with thiz

Mathematics

1 answer:

hammer [34]3 years ago

3 0

Given :

Two similar triangles ΔABC and ΔSTU .

To Find :

The value of x.

Solution :

Since, ΔABC and ΔSTU are similar, so ratio of their sides are equal.

$\dfrac{AB}{AC} = \dfrac{SU}{ST}\\\\\dfrac{x}{21}=\dfrac{13}{5}\\\\x = \dfrac{21\times 13}{5}\\\\x = 54.6$

Therefore, value of x is 54.6 .

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8. There are 10 balls in a bag numbered from 1 to 10. Three balls are selected at random without replacement.

PIT_PIT [208]

Answer:

a. 720

b. 0.3

Step-by-step explanation:

Three balls are selected at random without replacement.

First ball can be selected in 10 ways

Second ball can be selected in 9 ways

Third ball can be selected in 8 ways

Thus, there are 10×9×8 =720 different ways of selecting three balls.

There are three cases that satisfy this condition

first ball picked is 5, the others are not
first ball is not 5, second is 5, third is not
first and second ball is not five, third ball is 5

Each probabilities are:

$\frac{1}{10} * \frac{9}{9} *\frac{8}{8} =\frac{1}{10}$
$\frac{9}{10} *\frac{1}{9} *\frac{8}{8} =\frac{1}{10}$
$\frac{9}{10} *\frac{8}{9} *\frac{1}{8} =\frac{1}{10}$

Thus, one of the balls selected is the number 5 is then $\frac{1}{10} + \frac{1}{10} + \frac{1}{10} = \frac{3}{10}$

5 0

4 years ago

In ΔEFG, the measure of ∠G=90°, FG = 1.5 feet, and EF = 7.5 feet. Find the measure of ∠F to the nearest degree.

fomenos

Answer:

78°

Step-by-step explanation:

The mnemonic SOH CAH TOA reminds you of the relations between angles and sides of a right triangle. In particular, ...

Cos = Adjacent/Hypotenuse

cos(F) = FG/FE = 1.5/7.5 = 0.2

The inverse cosine function is used to find the angle:

∠F = arccos(0.2)

∠F ≈ 78°

8 0

3 years ago

Read 2 more answers

A study was conducted to compare the proportion of drivers in Boston and New York who wore seat belts while driving. Data were c

In-s [12.5K]

(A.)test statistic for this test using Ha: p8くPN is Z = -2.164 (B.) p-value (3 decimal places) is 0.015. (C.) Based on this p-value, which of the following would you expect for a 95% is negative. (D.) the correct conclusion is The proportion of Boston drivers wearing seat was significantly lower than the proportion of new York drivers wearing seat belts.

A.)

According to given data find the test statistic for this test using Ha:

p1 = 0.581

p2 = 0.832

standard error = SE = 0.116

<h3>Test statistics :-</h3>

Z = $\frac{p1 - p2}{SE}$

Z = $\frac{0.581 - 0.832}{0.116}$ = -2.164

Z = -2.164

B.)

According to given Determine the p-value (3 decimal places).

<h3>p - value</h3>

it is left tailed test.

p - value for left tailed test is,

p - value = P(Z < test statistics )

p - value = P(Z < -2.164)

P - value = 0.015

C.)

Based on this p-value, which of the following would you expect for a 95%

confidence level = 95% = 0.95

significance level = α = 0.05

P -value is less than 0.05

so, reject null hypothesis at α = 0.05

That is $P_{B}$ < $P_{NY}$

so, based on P - value , All values in the 95% confidence interval

PB - PNY is negative.

D.)

According to given data What is the correct conclusion?

Reject null hypothesis at α = 0.05

so, $P_{B}$ < $P_{NY}$

Hence, The proportion of Boston drivers wearing seat was significantly lower than the proportion of new York drivers wearing seat belts.

know more about test statics visit this link

brainly.com/question/23332597

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3 0

2 years ago

one gallon of milk costs 3.60, but this cost is projected to increase 10% in the next 5 years. what is the projected cost of a g

Tju [1.3M]

3.60$ x (100%+10%)

=3.60$ x 110%

=3.60$ x 1.1

=3.96$ for a gallon of milk 5 years from now.

4 0

3 years ago

Find an ordered pair (x , y) that is a solution to the equation

Nonamiya [84]

4x+y = 3
if x = 0, y = 3

ordered pair (0,3)

3 0

3 years ago