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In ΔVWX, x = 78 cm, w = 35 cm and ∠W=48°. Find all possible values of ∠X, to the nearest degree.

sattari [20]

Answer:

no possible answers

Step-by-step explanation:

V

W

X

w = 35

x = 78

48°

?°

\frac{\sin A}{a}=\frac{\sin B}{b}

a

sinA

=

b

sinB

From the reference sheet (reciprocal version).

\frac{\sin X}{78}=\frac{\sin 48}{35}

78

sinX

=

35

sin48

Plug in values.

\sin X=\frac{78\sin 48}{35}\approx 1.6561513

sinX=

35

78sin48

≈1.6561513

Evaluate.

X=\sin^{-1}(1.6561513)= \text{ERROR}

X=sin

−1

(1.6561513)=ERROR

Sine cannot be greater than 1.

\text{No Possible Triangles}

No Possible Triangles

\{\}

{}

5 0

2 years ago

The brand name of Mrs. Fields (cookies) has a 90% recognition rate. If Mrs. fields herself wants to verify that rate by beginnin

Schach [20]

Answer:

0.3874 = 38.74% probability that exactly 9 of the 10 consumers recognize her brand name.

0.6126 = 61.26% probability that the number who recognize her brand name is not nine.

Step-by-step explanation:

For each consumer, there are only two possible outcomes. Either they recognize the name, or they do not. The probability of a customer recognizing the name is independent of anu other customer. This means that the binomial probability distribution is used 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.

The brand name of Mrs. Fields (cookies) has a 90% recognition rate.

This means that $p = 0.9$ .

Sample of 10

This means that $n = 10$

Find the probability that exactly 9 of the 10 consumers recognize her brand name.

This is P(X = 9). So

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

$P(X = 9) = C_{10,9}.(0.9)^{9}.(0.1)^{1} = 0.3874$

0.3874 = 38.74% probability that exactly 9 of the 10 consumers recognize her brand name.

Also, find the probability that the number who recognize her brand name is not nine.

1(100%) subtracted by those who recognize. So

1 - 0.3874 = 0.6126

0.6126 = 61.26% probability that the number who recognize her brand name is not nine.

4 0

2 years ago

Use pemdas (18 - 14) x (4 x 2) write 3 steps

Deffense [45]

Answer:

32

Step-by-step explanation:

Parentheses:

(18 - 14) = 4

(4 x 2) = 8

4 x 8

Multiplication:

4 x 8 = 32

<em>good luck hope this helps :)</em>

7 0

3 years ago

Read 2 more answers

Matrix a is a 6 × 5 matrix. which order of matrix can be multiplied by matrix a to create matrix ab?

mezya [45]

Order (B) 5 × 6 of the matrix can be multiplied by matrix a to create matrix ab.

<h3>What is a matrix?</h3>

A matrix is a rectangular array or table of numbers, symbols, or expressions that are organized in rows and columns to represent a mathematical object or an attribute of such an object in mathematics.
For instance, consider a matrix with two rows and three columns.

To find the order of matrix:

We must first check the dimension of two matrices, say matrix A by matrix B, before we may multiply them.
Multiplication is achievable if the number of columns in the first matrix, A, equals the number of rows in the second matrix.
Dimension is assigned to the provided matrix: 6 × 5
This means the given matrix contains six rows and five columns.
As a result, the second matrix MUST have 5 rows in order for multiplication to be POSSIBLE.
The only matrix with 5 rows among the above alternatives is the matrix with dimension (B) 5 × 6.

To prove: