What does the product (-5-2i)(3+7i) equal

Carl is boarding a plane. He has 222 checked bags of equal weight and a backpack that weighs 4 Write an equation to determine th

dangina [55]

Answer: 2w + 4 = 35

Step-by-step explanation:

Carl's two checked bags and his one backpack together weigh 35kg.

Carl's two checked bags have equal weight so both their weight can be denoted as 2w.

Equation is;

2w + 4 = 35

If you were to solve;

2w + 4 = 35

2w = 35 - 4

w = 31/2

w = 15.5kg

4 0

3 years ago

Jim and Martha are standing together at the corner of a rectangular field. Jim walks diagonally across the field. Martha gets to

IgorC [24]

Answer:

Matha - Jim = 200 feet.

Step-by-step explanation:

Jim's distance

J = sqrt(w^2 + L^2)

w = 300
L = 400

J = sqrt(300^2 + 400^2)

J = sqrt(900 + 1600)

J = sqrt(2500)

J = 500

Martha's distance

M = 300 + 400

M = 700 Feet

Answer

M - J = 700 - 500 = 200

Jim walks 200 feet less than Martha.

7 0

3 years ago

Write the standard form and word form for the decimal represented by 700+40+0.6+0.08+0.006. what is the relationship between the

eduard

In standard form, it is expressed as 7.407 * 10^2 while he relationship between the values of the two 6s is that 0.6 is to the nearest tenth and 0.006 is to nearest thousandth

<h3>Expressing decimals in standard form</h3>

The standard form of an equation is expressed as A * 10^n

where

A is any number between 1 and 10

n is any integer

Given the sum below;

700+40+0.6+0.08+0.006.

Take the sum of the expression

740 +0.6 + 0.08 + 0.006

740.686

In standard form, it is expressed as 7.407 * 10^2 while he relationship between the values of the two 6s is that 0.6 is to the nearest tenth and 0.006 is to nearest thousandth

Learn more on standard form here: brainly.com/question/525947

#SPJ1

6 0

2 years ago

The pesticide diazinon is in common use to treat infestations of the German cockroach, Blattella germanica. A study investigated

cluponka [151]

Answer:

We conclude that there is no difference in the proportion of cockroaches that died on each surface.

Step-by-step explanation:

We are given that a study investigated the persistence of this pesticide on various types of surfaces.

After 14 days, they randomly assigned 72 cockroaches to two groups of 36, placed one group on each surface, and recorded the number that died within 48 hours. On the glass, 18 cockroaches died, while on plasterboard, 25 died.

Let $p_1$ = proportion of cockroaches that died on glass surface.

$p_2$ = proportion of cockroaches that died on plasterboard surface.

So, Null Hypothesis, $H_0$ : $p_1-p_2$ = 0 {means that there is no difference in the proportion of cockroaches that died on each surface}

Alternate Hypothesis, $H_A$ : $p_1-p_2\neq$ 0 {means that there is a significant difference in the proportion of cockroaches that died on each surface}

The test statistics that would be used here Two-sample z proportion statistics;

T.S. = $\frac{(\hat p_1-\hat p_2)-(p_1-p_2)}{\sqrt{\frac{\hat p_1(1-\hat p_1)}{n_1}+\frac{\hat p_2(1-\hat p_2)}{n_2} } }$ ~ N(0,1)

where, $\hat p_1$ = sample proportion of cockroaches that died on glass surface = $\frac{18}{36}$ = 0.50

$\hat p_2$ = sample proportion of cockroaches that died on plasterboard surface = $\frac{25}{36}$ = 0.694

$n_1$ = sample of cockroaches on glass surface = 36

$n_2$ = sample of cockroaches on plasterboard surface = 36

So, test statistics = $\frac{(0.50-0.694)-(0)}{\sqrt{\frac{0.50(1-0.50)}{36}+\frac{0.694(1-0.694)}{36} } }$

= -1.712

The value of z test statistics is -1.712.

Since, in the question we are not given with the level of significance so we assume it to be 5%. Now, at 5% significance level the z table gives critical values of -1.96 and 1.96 for two-tailed test.

Since our test statistics lies within the range of critical values of z, so we have insufficient evidence to reject our null hypothesis as it will not fall in the rejection region due to which we fail to reject our null hypothesis.

Therefore, we conclude that there is no difference in the proportion of cockroaches that died on each surface.

8 0

3 years ago

The post office is now calculating the volume of packages to determine the shipping cost. If a box measure 8 1/2 inches long, 5

sladkih [1.3K]

Answer:
volume of box = 312.375 in²

Explanation:
The volume of a rectangular box can be measured as follows:
volume = length* width * height

From the givens we have:
length = 8.5 in
width = 5.25 in
height = 7 in

Substitute with the givens in the above equation to get the volume as follows:
volume = length * width * height
volume = 8.5 * 5.25 * 7
volume = 312.375 in²

Hope this helps :)

3 0

3 years ago