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3 years ago

How many decimeters are in 3.5 dekameters ? Use metric table to help answer the question

Mathematics

2 answers:

Troyanec [42]3 years ago

7 0

Answer:

$350\ decimeters$

Step-by-step explanation:

we know that

$100\ decimeters=1\ dekameter$

by proportion

$\frac{100}{1}=\frac{x}{3.5} \\ \\x=3.5*100\\ \\ x=350\ decimeters$

Makovka662 [10]3 years ago

7 0

Answer:

350 decimeters are in 3.5 decameters

Step-by-step explanation:

Using metric conversion.

1 Decameters = 100 decimeters

Given that:

Convert 3.5 decameters into decimeters.

Using conversion we have;

3.5 decameters = $3.5 \times 100 = 350$ decimeters

Therefore, 350 decimeters are in 3.5 decameters

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A test to determine whether a certain antibody is present is 99.1% effective. This means that the test will accurately come bac

avanturin [10]

Answer:

The probability that all the six people will test negative for the antibody is 0.9472.

The probability that the test comes back positive for at least one of the six people is 0.0528

Step-by-step explanation:

Consider the provided information.

probability that antibody is present will be effective is 99.1% and not present is 99.1% of the time.

Part (A)What is the probability that the test comes back negative for all six people? 

Let P(X)= P(Antibody not present)

We want test comes back negative for all six that means antibody is present for all six. Thus X=0

$P(X=0)=0.991\times0.991\times0.991\times0.991\times0.991\times0.991\\P(X=0)=0.9472$

The probability that all the six people will test negative for the antibody is 0.9472.

Part (B) What is the probability that the test comes back positive for at least one of the six people?

$P(X \geq1)=1-P(X=0)$

$P(X \geq1) = 1-0.9472$

$P(X \geq1) = 0.0528$

Hence, the probability that the test comes back positive for at least one of the six people is 0.0528

7 0

3 years ago

The owner of a small deli is trying to decide whether to discontinue selling magazines. He suspects that only 10% of his custome

Rainbow [258]

Answer:

0.55% probability that exactly 5 out of the first 13 customers buy a magazine

Step-by-step explanation:

For each customer, there are only two possible outcomes. Either they buy a magazine, or they do not. The probability of a customer buying a magazine is independent of other customers. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

10% of his customers buy a magazine

This means that $P = 0.1$

What is the probability that exactly 5 out of the first 13 customers buy a magazine?

This is P(X = 5) when n = 13. So

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 5) = C_{13,5}.(0.1)^{5}.(0.9)^{8} = 0.0055$

0.55% probability that exactly 5 out of the first 13 customers buy a magazine

3 0

3 years ago

Read 2 more answers

Write a multiplication expression that can be used to solve 2/3a = 30.

Tresset [83]

<h3>Answer:</h3>

a=45

<h3>Solution:</h3>

We need to multiply both sides by 3 in order to get rid of the denominator, 3:
2/3a•3=30•3
2a=90
Divide both sides by 2:
a=45

Hope it helps.

Do comment if you have any query.

8 0

2 years ago

Which criterion can be used to prove abc and adc are congruent? triangles, abc and acd, are plotted on a grid that share a commo

RUDIKE [14]

The correct answer is option D which is ASA ( Angle - Side - Angle).

<h3>What is congruency?</h3>

If two triangles are congruent, this means they are the same shape and the same size. By definition, all corresponding angles of two congruent triangles are congruent. Additionally, all corresponding sides of two congruent triangles are congruent.

In triangles ABC and ADC,

Angles BCA and DAC are congruent (from the diagram);

Angles BAC and DCA are congruent (from the diagram);

AC is congruent AC (by reflexive property).

So, the triangles ABC and CDA are congruent with the ASA postulate.

ASA (Angle-Side-Angle) postulate states that if two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the triangles are congruent.

Therefore the correct answer is option D which is ASA ( Angle - Side - Angle).

To know more about congruency follow

brainly.com/question/2938476

#SPJ1

4 0

1 year ago

Which equation represents this situation?

aalyn [17]

Answer:

dirk =13.25 hours

charlie =11 75 hours

Step-by-step explanation:

c+d=25------(1)

d-1.5=c-----(2)

from (1),

c+d=25

c=25-d-----(3)

substitude (3) into (2)

d-1.5=c

d-1.5=25-d

2d=26.5

d=13.25

if d=13.25 hours

c+d=25

c+13.25=25

c=25-13.25

c=11.75

7 0

3 years ago