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2 years ago

Multiply and simplify.

Mathematics

1 answer:

dem82 [27]2 years ago

3 0

Answer:
48x-112

Explanation:
(3x-7)8•2
(3x-7)•16
48x-112

I hope this helps!

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Evaluate the given expression. Subscript 5 Baseline P Subscript 2 a. 40 c. 25 b. 32 d. 20

Leto [7]

Answer:

d. 20

Step-by-step explanation:

The given question implies 5 permutation 2, i.e $_{5}$ $P_{2}$ .

But,

$_{n}$ $P_{r}$ = $\frac{n!}{(n - r)!}$

So that for $_{5}$ $P_{2}$ , n = 5 and r = 2.

$_{5}$ $P_{2}$ = $\frac{5!}{(5 - 2)!}$

= $\frac{5!}{3!}$

= $\frac{5*4*3*2!}{3*2!}$

Cancel out 3 and 2 with respect to the numerator and denominator.

$_{5}$ $P_{2}$ = 5 * 4

= 20

Therefore,

$_{5}$ $P_{2}$ = 20

So that the correct option is D.

6 0

3 years ago

Read 2 more answers

0.51 + 0.63 = ?<br> and<br> 1.93 + 1.73 = ?

Anastasy [175]

For the first one: 1.14
Second one: 3.66

5 0

3 years ago

Read 2 more answers

Its add math. i really need help, solve the question. thanks♥️

dexar [7]

Answer:

see explanation

Step-by-step explanation:

Given

f(x) = ax + b

x = 2 → f(x) = 1 and x = - 1 → f(x) = - 5 ( from the table )

Substitute these values into f(x) = ax + b, that is

2a + b = 1 → (1)

- a + b = - 5 → (2)

Subtract (2) from (1) term by term to eliminate b

3a = 6 ( divide both sides by 3 )

a = 2

Substitute a = 2 into (2) and evaluate for b

- 2 + b = - 5 ( add 2 to both sides )

b = - 3

(b)

When x maps onto itself then

ax + b = x, that is

2x - 3 = x ( subtract x from both sides )

x - 3 = 0 ( add 3 to both sides )

x = 3

Thus a = 2, b = - 3 and x = 3

6 0

3 years ago

Determine whether the statement (p∧(p⟶q))⟶q is a tautology one time by using truth table and the other time without using truth

Ivanshal [37]

It is.........................................................

4 0

3 years ago

Read 2 more answers

A hypothesis test is conducted at the .05 level of significance to test whether or not the population correlation is zero. If th

finlep [7]

Answer:

Th computed value of the test statistic is 3.597

Step-by-step explanation:

The null and the alternative hypothesis is as follows:

Null Hypothesis:

$\mathbf{H_o:}$ the population correlation coefficient is equal to zero

$\mathbf{H_a:}$ the population correlation coefficient is not equal to zero

The test statistics for Pearson correlation coefficient is thus computed as :

$t =\dfrac{r \sqrt{(n-2)}} { \sqrt{(1-(r)^2)} }$

where;

r = correlation coefficient = 0.60

n = sample size = 25

So;

$t =\dfrac{0.60 \sqrt{(25-2)}} { \sqrt{(1-(0.60)^2)} }$

$t =\dfrac{0.60 \sqrt{(23)}} { \sqrt{(1-0.36} }$

$t =\dfrac{0.60 *4.796} {0.8}$

t = 3.597

Comparing to a critical value of t (23 degrees of freedom two-tailed value) = 2.069

Decision Rule:

Since computed value of t is greater than the critical value of t; We reject the null hypothesis and accept the alternative hypothesis.

Conclusion:

We conclude that the population correlation coefficient significantly differs from 0 at 5% (0.05) level of significance.

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3 years ago