Which measurement is the best estimate of the area in square inches of the stove top that does not include the area of the burners?
A 200.96 in.2
B 525.76 in.2
C 375.04 in.2
D 576 in.2

Answer:

3) Reflexive Property

4) SAS

Step-by-step explanation:

1. The Reflexive Property states that: a quantity is congruent (equal) to itself.

1. SAS theorem states that: two triangles are equal if two sides and the angle between those two sides are equal.

2. Because it is given that RS ≅ UT and RT ≅ US, and it includes the same 2 lines being equal as given/said, RST ≅ UTS because of SAS (theorem).

Answer:

>

Step-by-step explanation:

1/4 is greater than 1/6.

Answer:

d<-3

Step-by-step explanation:

-7d + 8 > 29

subtract 8 from each side

-7d>21

multiply both side by -1 and reverse the inequality sign

7d<-21

divide both sides by 7

d<-3

hope this helps :)

Answer:

He would drink 12 oz of water or 3/4 of a 16 oz glass of water

Step-by-step explanation:

1/4 of 16 oz is 4fl oz

you drink 4 oz every 1/3 of an hour

4 x 3= 12

Answer:

y=2x-2

Step-by-step explanation:

Answer:

3x+6

Step-by-step explanation:

Answer:

a) By the Central Limit Theorem, the mean is $142 and the standard deviation is $0.7488.

b) By the Central Limit Theorem, approximately normal.

c) 0.0901 = 9.01% probability that the average cable service paid by the sample of cable service customers will exceed $143

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal probability distribution

When the distribution is normal, we use the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

The mean monthly fee is $142 and the standard deviation is $29.

This means that [tex]\mu = 142, \sigma = 29[/tex]

Part a: what are the mean an standard deviation of the sample distribution of x hat show your work and justify your reasoning.

Sample of 1500(larger than 30).

By the Central Limit Theorem

The mean is $142

The standard deviation is [tex]s = \frac{29}{\sqrt{1500}} = 0.7488[/tex]

Part b: what is the shape of the sampling distribution of x hat justify your answer.

By the Central Limit Theorem, approximately normal.

Part C: what is the probability that the average cable service paid by the sample of cable service customers will exceed $143?

This is 1 subtracted by the pvalue of Z when X = 143. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{143 - 142}{0.7488}[/tex]

[tex]Z = 1.34[/tex]

[tex]Z = 1.34[/tex] has a pvalue of 0.9099

1 - 0.9099 = 0.0901

0.0901 = 9.01% probability that the average cable service paid by the sample of cable service customers will exceed $143

Answer:

I love algebra anyways

The ans is in the picture with the  steps how i got it

(hope this helps can i plz have brainlist :D hehe)

Step-by-step explanation:

Answer:

y=14

Step-by-step explanation:

solve for y by simplifying both sides of the equation then insolating the variable

Answer:

1080

Step-by-step explanation:

if  you are trying to find the volume the formula is

width x length x height

if you plug in 6x15x12 you get 1080 so the volume of the figure is 1080

Answer:

$ 2,200

Step-by-step explanation:

If it cost $1,100 to make 500 then double that and you get $2,200

Answer:

$2100

Step-by-step explanation:

After 500 cards, there is a discount.  

(1100/500 = 2.2) So, $2.20 per card for the first 500 cards.

For every 150 cards after the initial 500, it costs $300, or $2.00 per card.  (300/150 = 2)

If you want 1,000 cards, you are ordering 500 of them at $2.20 per card and the second 500 cards at $2.00 per card.

(500x2.2) + (500x2)= 2100

Answer:

a. V = 3M

b. T = 5S

c. Y = 17x

d. H = 12M

e. P = 0.5N

Step-by-step explanation:

a. V= 12 when M =4

12/4 = 3, so in this case, V is 3 times M, that is, V = 3M

b. T= 5 when S=1

5/1 = 5, so in this case, T is 5 times S, that is, T = 5S

c. Y= 34 when x=2

34/2 = 17, so in this case, Y is 17 times x, that is, Y = 17x

d. H=48 when M=4

48/4 = 12, so in this case, H is 12 times M, that is, H = 12M

e. P= 5 when N=10

5/10 = 1/2 = 0.5, so in this case, P is half of N, that is, P = 0.5N

Answer:

35

Step-by-step explanation:

because I took the test so I know that that's just right

15 minutes is one quarter of an hour, so the number of people accommodated in an hour would be 4 x 55 = 220 people per hour

Answer:

10m

Step-by-step explanation:

length = 8m , breadth =6m

diagonal = 8square + 6square

= 64 + 36

= 100 square

=10m

Answer:

Step-by-step explanation:

[tex]\sqrt{8^2+10^2} =\sqrt{64+100} =\sqrt{164} =2\sqrt{41} \approx 12.81 "[/tex]

Answer:

Adding and subtracting!!!

Step-by-step explanation:

i took math lol

PS plzz tell me if u got it right!!!

Answer:

Dividing, subtracting, adding

Step-by-step explanation:

the reason you can only multiply without a common denominator is that the multiplication process does it for you, normally, the quickest way to find an easy common denominator is to multiply the two, then simplify at the end.

Hopefully this helped!

Answer:

Kindly check explanation

Step-by-step explanation:

33% is approximately 1/3 of a whole ; that is 1/3 of 100%

Hence, 59 / 3 = approximately 19

Approximately 20

Another way is to take 59 as 60, nearest 10, then divide by 3 to obtain ; (60 /3) = 20

To obtain 25% of 98.50

25% = 1/4th

Take value as 98 and divide by 4

Take value as 100 and divide by 4

2% of 150 people

2% = 1/50

Quick division of 150 into 50 places to obtain the approximate value.

To obtain the exact solution for the questions above :

Multiply 33% by 59

0.33 * 59 = 19.47

Multiply 25% by $98.50

0.25 * $98.50

$24.625

Multiply 2% by 150

0.02 * 150

= 3 people

Answer: 125

The best prediction for the number of times a 4 will be drawn from the pile is:

A set of cards contains cards numbered 1 – 8.

So, the theoretical probability that 4 comes up is:

Ratio of Number of favorable outcome( outcome of 4) to the total umber outcome(i.e. 8 )

Hence, Theoretical Probability that 4 is drawn=1/8

Now, out of 1000 trials the best prediction of number of times 4 is drawn is:

(The probability of drawing 4)×(Number of experiments or trials)

=(1/8)×1000

=125

Answer: Percentage of not defective parts =88.88% which can be rounded up to 89%

Step-by-step explanation:

Total part manufactured= 36

defective parts = 4

Non defective parts = 36-4 = 32.

Percentage of not defective parts = Number of not defective parts / Total parts manufactured x 100

= 32/36 x 100= 88.88%

Answer:

A

Step-by-step explanation:

PV(1+i)^n

2000(1+.015)^x

2000(1.015)^x

A

Answer:

Jenns account has the greater simple interest rate.

Step-by-step explanation:

The formula for simple interest is:

A = P * ( 1 + r * t )

Where A is the final amount after investment, P is the initial amount, r is the rate of interest and t is the time periods.

For Lindsey:

253 = 250 * ( 1 + r * t )

Solve for r

r = ( 253/250 ) - 1 = 0.012

Lindsey simple interest was 1.2% annually

For Jenn:

257.50 = 250 * ( 1 + r * 2 )

r = ( 257.50/250 ) - 1 )/2 = 0.015

Jenn simple interest was 1.5% annually  

Therefore Jenns account has the highest simple interest rate.

Answer:

Lindsay’s interest is $3 for one year. Using the formula for interest, I = prt, Lindsey’s money is earning at a rate of 1.2%. Jenn has earned $3.75 for one year. Her money is earning at a rate of 1.5%, which is a higher interest rate.

Step-by-step explanation:

Sample response :)

Answer:

524,288

Step-by-step explanation:

1. 8

2. 8 x 4 = 32

3. 32 x 4 = 128

4. 128 x 4 = 512

5. 512 x 4 = 2,048

6. 2,048 x 4 = 8,192

7. 8,192 x 4 = 32,768

8. 32,768 x 4 = 131,072

9. 131,072 x 4 = 524,288

Answer:

(-1,-1) works (5,5) does not

Step-by-step explanation:

y<1/4x+1[tex]\geq[/tex]3x+2

-1<1/4(-1)+1[tex]\geq[/tex]3(-1)+2

-1<-1/4+1[tex]\geq[/tex]-3+2

-1<.75[tex]\geq[/tex]-1

Answer:

the answer is -4

Step-by-step explanation:

Answer:

next year he'll add $2,000. to the bank account. the total amount would be $3,000.00

Step-by-step explanation:

$1,000.00 x 2 = $2,000.00 + $1,000.00 = $3,000.00

^w^

Answer:

Step-by-step explanation:

d=4

e=2

f=6