(7-9i)(4-2i)multiply and simplify ​

Answer:

x = 35 degrees

Step-by-step explanation:

supplementary angles = 180 degrees

m<A + m<B = 180

(2x - 5) + 3x = 180

5x - 5 = 180

5x = 175

x = 35

Answer:

D

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Answer:

9 . right triangle

Step-by-step explanation:

9. has right angle

Answer:

P(X > 4) = 0.8059

Step-by-step explanation:

Binomial probability distribution

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

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

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

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

In this question, we have that:

[tex]n = 8, p = 0.7[/tex]

We want:

[tex]P(X > 4) = P(X = 5) + P(X = 6) + P(X = 7) + P(X = 8)[/tex]

In which

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 5) = C_{8,5}.(0.7)^{5}.(0.3)^{3} = 0.2541[/tex]

[tex]P(X = 6) = C_{8,6}.(0.7)^{6}.(0.3)^{2} = 0.2965[/tex]

[tex]P(X = 7) = C_{8,7}.(0.7)^{7}.(0.3)^{1} = 0.1977[/tex]

[tex]P(X = 8) = C_{8,8}.(0.7)^{8}.(0.3)^{0} = 0.0576[/tex]

Then

[tex]P(X > 4) = P(X = 5) + P(X = 6) + P(X = 7) + P(X = 8) = 0.2541 + 0.2965 + 0.1977 + 0.0576 = 0.8059[/tex]

So

P(X > 4) = 0.8059

Answer:

Step-by-step expVivian’s house area can be split into two rectangles: FLSU and MNSR.

area of rectangle FLSU

= length × width

= (FU) × (FL)

= 30 × 25

= 750 square feet

area of rectangle MNSR

= length × width

= (MS) × (MN)

= 38 × 25

= 950 square feet

area of Vivian’s house

= area of rectangle FLSU+ area of rectangle MNSR

= 750 square feet + 950 square feet

= 1,700 square feet

Answer:

-60

Explanation:

6x(2x-5) always do what's in the parentheses first

6x(-10)

= -60

Answer:

18225

Step-by-step explanation:

let 7th term = t7

t7= a.3^(7-1) (common formula of geometric series is a.r^(n-1)

or, 25= a. 3^6

or, a=25/729

now, for 13th term,

t13= a.r^(13-1)

= 25/729 × 3^12

=18225

Answer:

sorry dude I really want to help but it's pretty hard and I don't

know

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

Answer:

1/10 = 4  

Step-by-step explanation:

Answer:

I believe the answer is B

Step-by-step explanation:

Work for E and F- 20/50=20X2=40                40 divided by 100 is 40%

                                          50X2=100               and 40/100

Answer:

that hard....

Step-by-step explanation:

Answer:

We accept the null hypothesis, that is, that the mean weight of the cans is still of 12 ounces of fruit.

Step-by-step explanation:

Pineapple Corporation (PC) maintains that their cans have always contained an average of 12 ounces of fruit.

This means that the null hypothesis is: [tex]H_0: \mu = 12[/tex]

The production group believes that the mean weight has changed.

This means that the alternate hypothesis is:

[tex]H_a: \mu \neq 12[/tex]

The test statistic is:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.

12 is tested at the null hypothesis:

This means that [tex]\mu = 12[/tex]

They take a sample of 15 cans and find a sample mean of 12.05 ounces and a sample standard deviation of .08 ounces.

This means, respectibely, that [tex]n = 15, X = 12.05, \sigma = 0.08[/tex]

Value of the test statistic:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

[tex]z = \frac{12.05 - 12}{\frac{0.08}{\sqrt{15}}}[/tex]

[tex]z = 2.42[/tex]

Pvalue of the test:

We are testing if the mean is different from a value, which means that the pvalue is 2 multiplied by 1 subtracted by the pvalue of z = 2.42.

Looking at the z-table, z = 2.42 has a pvalue of 0.9922

1 - 0.9922 = 0.0078

2*0.0078 = 0.0156

What conclusion can we make from the appropriate hypothesis test at the .01 level of significance?

0.0156 > 0.01. This means that at the 0.01 level, we accept the null hypothesis, that is, that the mean weight of the cans is still of 12 ounces of fruit.

Explanation is in the file

tinyurl.com/wpazsebu

Answer:

X = 8

Step-by-step explanation:

A triangle's degrees always add up to 180, this is a right triangle meaning that one of the degrees is 90, and we see the other one is 54, so we add these together and subtract them from 180 and set that equall to 3x+12.  

Answer: 8/21

Answer and work are in the picture!

Answer:

Step-by-step explanation:

x^2 - 4x + 20 = 0

x^2 - 4x = -20

x^2 = 4x - 20

x = 2x - 4.47

-3x = -4.47

x = roughly 1.5

Answer:

area = 138 m²

Step-by-step explanation:

radius of large circle = 12 m

radius of small circle = 10 m

large circle area = πr² = (3.14)(12²) = 452.16 m²

small circle area = πr² = (3.14)(10²) =314 m²

452.16 - 314 = 138.16 m²

Answer:

horizontal asymptote at y = 0

Step-by-step explanation:

According to the definition of asymptotes, it is a line that the function gets closer and closer to as x goes to plus or minus infinity. The definition clearly does not mention anything about the finite value of x.

However, crossing of asymptotes does not happen in the case of vertical asymptotes because for a given x, the function has only one value but the same y can be obtained for different values of x.

It is a common misconception that graphs of functions can’t cross the asymptotes. This is true only for vertical asymptotes. In fact, there are several examples of functions whose graphs cross the horizontal asymptote. For example:

f(x) = (xe)^((-x)^2)

The horizontal asymptote of the above function is y=0 but it still crosses the x axis at x=0.

hope that helps, I really don't know thought. Quite tricky

Answer:

I hope this helps you

Step-by-step explanation:

1/8 ÷ 3 = 1/8 × 1/3

= 1/24

= 0.0416666667

Answer:

Step-by-step explanation:

7/10 are black therefore 14/20 are black

Answer:

Two events are dependent if the outcome of the first event affects the outcome of the second event, so that the probability is changed.

Step-by-step explanation:

Answer:

A.

You get a head and a tail in two coin tosses with two different coins.

Step-by-step explanation:

I took the test and got it right!

Answer:

12 groups of 1/4

Step-by-step explanation:

Look up the tape diagram part

The number of groups of 1/4 in 3 are 12 groups

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the total number of groups be = A

Now , the number of groups of 1/4 in 3 is calculated by

Number of groups of 1/4 in 1 is

1/4 x 4 = 1

Therefore , the number of groups of 1/4 in 1 is = 4 groups

So , the equation will be

The number of groups of 1/4 in 3 = 3 x the number of groups of 1/4 in 1

Substituting the values in the equation , we get

The number of groups of 1/4 in 3 = 3 x 4 groups

The number of groups of 1/4 in 3 = 12 groups

Therefore , the value of A is 12 groups

Hence , The number of groups of 1/4 in 3 are 12 groups

To learn more about equations click :

https://brainly.com/question/19297665

#SPJ2

Answer:

B) (1/2, -8)

Step-by-step explanation:

(1, -6) and (0, -10)

Midpoint formula:

((x1+x2)/2, (y1+y2)/2)

Solving for x:

(x1+x2)/2

(1 + 0)/2

1/2

Solving for y:

(y1+y2)/2

(-6-10)/2

(-16)/2

-8

Answer:

-3

Step-by-step explanation:

so you SUBSTITUTE -2 in for z

ok i think they are trying to be tricky here

so

-1 - (-(-2))

inside parentheses, the two negatives are going to cancel eachother out.

now you have

-1 - (2)

which is

-1 - 2

-1 minus 2 is -3

Answer:

x = 2√3

Step-by-step explanation:

x² = √6² + √6²

x² = 6 + 6 = 12

x = √12 = 2√3

Answer:

330 degrees

That's the central angle arc

Answer:

$3.57

Step-by-step explanation:

Multiply $23.80 by %15

Change %15 to a decimal by multiplying it by 100.

0.15 x $23.80= $3.57

Answer:

24 because hsbs. hwhvw w Whelan has w hahaha