**NEED ANSWER ASAP** write an equation of a line that passes through the x-intercept 4 with slope -3

If f(x)=4x^3 - 6x^2 + 2x - 5, then f(-2) = ___________

Art [367]

f(x)=4x^3 - 6x^2 + 2x - 5

f(-2)

Replace X with -2:

4(-2)^3 - 6(-2)^2 + 2(-2) - 5 =

Calulate the powers:

4(-8) - 6(4) +(-4) -5=

Multiply:

-32 - 24 -4 -5=

Subtract

-65

7 0

4 years ago

A manufacturer receives parts from two suppliers. An SRS of 400 parts from supplier 1 finds 20 defective; an SRS of 100 parts fr

jeyben [28]

Answer:

Option C) 0.0602

Step-by-step explanation:

We are given the following in the question:

$x_1 = 20\\n_1 = 400\\x_2 = 10\\n_2 = 100$

Let p1 and p2 be the proportion of all parts from suppliers 1 and 2, respectively, that are defective.

$p_1 = \dfrac{x_1}{n_1} = \dfrac{20}{400} = 0.05\\\\p_2 = \dfrac{x_2}{n_2} = \dfrac{x_2}{n_2} = \dfrac{10}{100}= 0.1$

First, we design the null and the alternate hypothesis

$H_{0}: p_1 = p_2\\H_A: p_1 \neq p_2$

We use Two-tailed z test to perform this hypothesis.

Formula:

$\text{Pooled P} = \dfrac{x_1+x_2}{n_1+n_2}\\\\Q = 1 - P\\\\Z_{stat} = \dfrac{p_1-p_2}{\sqrt{PQ(\frac{1}{n_1} + \frac{1}{n_2})}}$

Putting all the values, we get,

$\text{Pooled P} = \dfrac{20+10}{400+100} = 0.06\\\\Q = 1 - 0.06 = 0.94\\\\Z_{stat} = \dfrac{0.05-0.1}{\sqrt{0.06\times 0.94(\frac{1}{400} + \frac{1}{100})}} = -1.883$

Now, we calculate the p-value from the table at 0.05 significance level.

P-value = 0.0602

Thus, the correct answer is

Option C) 0.0602

7 0

4 years ago

Victoria's spends 5/9 of her money on a flan and two chicken pies each chicken pie cost 1/6 as much as the fly Victoria has $24

Fynjy0 [20]

Answer:

Amount spent by Victoria = $30.

Cost of 1 flan = $22.50

Step-by-step explanation:

A.

Let x be total amount of money that Victoria had before purchasing the flan and chicken pies.

We have been given that Victoria's spends 5/9 of her money on a flan and two chicken pies and Victoria has $24 left. This means that 4/9 of total money is 24.

We can represent this information as:

$\frac{4}{9}x=24$

Let us solve for x.

$x=24*\frac{9}{4}$

$x=6*9=54$

Let us find 5/9 of 54 to figure out the amount spent by Victoria.

$\text{Amount spent by Victoria}=\frac{5}{9}*54$

$\text{Amount spent by Victoria}=5*6=30$

Therefore, Victoria spent an amount of $30.

B.

Let C be cost of one chicken pie and F be cost of one flan.

We have been given that each chicken pie cost 1/6 as much as the flan. We can represent this information in an equation as:

$C=\frac{1}{6}F...(1)$

We are also told that Victoria's spends 5/9 of her money on a flan and two chicken pies.

We can represent this information as:

$2C+F=30...(2)$

Upon substituting C's value in equation (2) we will get,

$2*(\frac{1}{6}F)+F=30$

$(\frac{1}{3})F+F=30$

Now let us have a common denominator.

$(\frac{1}{3})F+\frac{3F}{3}=30$

$(\frac{1+3}{3})F=30$

$(\frac{4}{3})F=30$

$F=30*\frac{3}{4}$

$F=30*0.75$

$F=22.50$

Therefore, the cost of one flan is $22.50.

4 0

3 years ago

Read 2 more answers

Use Stokes' Theorem to evaluate C F · dr where C is oriented counterclockwise as viewed from above.

olga55 [171]

<span>∫c F · dr
= ∫∫s curl F · dS, by Stokes' Theorem
= ∫∫ <2, 0, -x> · <-z_x, -z_y, 1> dA
= ∫∫ <2, 0, -x> · <1, 0, 1> dA, since z = 2 - x
= ∫∫ (2 - x) dA.

Since the region of integration is inside x^2 + y^2 = 9, convert to polar coordinates:
∫(r = 0 to 3) ∫(θ = 0 to 2π) (2 - r cos θ) * (r dθ dr)
= ∫(r = 0 to 3) (2 * 2π - 0) * r dr
= 2πr^2 {for r = 0 to 3}
= 18π.
</span>

5 0

3 years ago

A recipe for trail mix calls for 3/4 cup dried fruits, 1/2 cup mixed nuts, and 1/3 cup granola. How many cups of trail mix does

lana66690 [7]

Hello! I would love to help!

Alright, we need to add all the fractions the problem gives us in order to find the answer. However, first, we need to find a common denominator.

So, what number can 2, 4, and 3 all go into?

The lowest number is 12. So, let's call 12 our common denominator.

Now, let's turn all the fractions to 12 as the denominator.

3/4= 9/12

1/2= 6/12

1/3 =4/12

Okay! Let's add the new fractions!

9/12+6/12+4/12=19/12

Let's turn it into a mixed number!

1 7/12

That's the answer!

Hope this helps! Comment if you have any questions!

3 0

3 years ago