Rewrite this expression using distributive property: 4a + 4b

Find the value of \mathrm{x}xin the following figure.

Hoochie [10]

Step-by-step explanation:

step 1. I guess we assumed the two lines across the transversal are parallel

step 2. 3x + 1 = 85 (definition of alternate exterior angles)

step 3. 3x = 84 (subtract 1 from each side)

step 4. x = 28. (divide both sides by 3)

3 0

3 years ago

For a data set of weights (pounds) and highway fuel consumption amounts (mpg) of eight types of automobile, the linear correl

Jobisdone [24]

Answer:

The P value indicates that the probability of a linear correlation coefficient that is at least as extreme is 0.3% which is not significant (at α = 0.05), so there is insufficient evidence to conclude that there is a linear correlation between weight and consumption. of highway fuel in cars.

Step-by-step explanation:

We have that the correlation coefficient shows the relationship between the weights and amounts of road fuel consumption of seven types of car, now the P value establishes the importance of this relationship. If the p-value is lower than a significance level (for example, 0.05), then the relationship is said to be significant, otherwise it would not be so, this case being 0.003 not significant.

The statement would be the following:

The P value indicates that the probability of a linear correlation coefficient that is at least as extreme is 0.3% which is not significant (at α = 0.05), so there is insufficient evidence to conclude that there is a linear correlation between weight and consumption. of highway fuel in cars.

5 0

3 years ago

AT the local zoo, the aquarium can be seen from the Reptile Room and the Amphibian Arena. What is the total area of both rooms a

BartSMP [9]

Answer:

The total area of both rooms and the aquarium is equal to 10,932 ft²

Step-by-step explanation:

see the attached figure to better understand the problem

we know that

the length sides of Aquarium are

(83-32) x (72-52)-----> 51 ft x 20 ft

Area reptile room=(83*72)-area of aquarium----> 83*72-51*20---> 4,956 ft²

[ total area of both rooms]=2*4,956-----> 9,912 ft²

I'm assuming that the two areas are equal

Area of aquarium=51*20=1,020 ft²

therefore

the total area of both rooms and the aquarium is equal to

9,912 ft²+1,020 ft²=10,932 ft²

6 0

3 years ago

Describe one way advertising has played a role in something<br> you've purchased

Bezzdna [24]

Answer:

ye has bad. he nf nv nnfcnxb xx. b DC x b x dnf znfbe xngrh cngbf

7 0

3 years ago

a car rental agency charge 20 per day plus 30 cents per mile. if you had one of the car for 5 days and your total bill is $197.5

Flura [38]

Answer:

325 miles

Step-by-step explanation:

$20 for each day

5 days

$0.30 for each mile

20(5) + 0.3x = 197.5

100 + 0.3x = 197.5

100 - 100 + 0.3x = 197.5 - 100

0.3x = 97.5

$\frac{0.3x}{0.3} = \frac{97.5}{0.3}$

x = 325

6 0

3 years ago

Rewrite this expression using distributive property: 4a + 4b - 5