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vichka [17]
3 years ago
9

The square tile shown has a side length of 10.5 inches. What power can you write to represent the area of the tile? Write the po

wer an expression with a base and an exponent, and then find the area of the square.
Mathematics
2 answers:
Lana71 [14]3 years ago
8 0
The expression can be written as 10.5^{2}.

The area of the square is then 110.25 inches squared.
Afina-wow [57]3 years ago
7 0

Answer:

10.5 to the power of 2 (or in other words 10.5 squared) and 110.25 square inches.

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You need a new mat to place under your dogs water bowl. The mat has a diameter of 24 inches and the water bowl has a diameter of
Ad libitum [116K]

Answer:

200.96

Step-by-step explanation:

So, we have to find the area of both.

The area for the mat is

(pi)12^2=3.14x144. However, since it is HALF a circle, we divide it by two.

So, 226.08

Next, the water bowl.

(3.14)4^2=50.24.

226.08-25.12=200.96

I may be wrong!

7 0
2 years ago
15 deliveries in 5 hours = deliveries per hour
lyudmila [28]

Answer:

3 deliveries per hour

Step-by-step explanation:

\frac{15}{5}  = 3 \: deliveries \: per \: hour

8 0
3 years ago
Read 2 more answers
Write the equation of a quadratic function who has the vertex of (4,-7)
timama [110]

Given:

The vertex of a quadratic function is (4,-7).

To find:

The equation of the quadratic function.

Solution:

The vertex form of a quadratic function is:

y=a(x-h)^2+k          ...(i)

Where a is a constant and (h,k) is vertex.

The vertex is at point (4,-7).

Putting h=4 and k=-7 in (i), we get

y=a(x-4)^2+(-7)

y=a(x-4)^2-7

The required equation of the quadratic function is y=a(x-4)^2-7 where, a is a constant.

Putting a=1, we get

y=(1)(x-4)^2-7

y=(x^2-8x+16)-7             [\because (a-b)^2=a^2-2ab+b^2]

y=x^2-8x+9

Therefore, the required quadratic function is y=x^2-8x+9.

6 0
2 years ago
A 12-pound bag weighs more than a 200-ounce bag. True or false
Anastasy [175]

Answer:

false

Step-by-step explanation:

200oz= 12.5 pounds

7 0
3 years ago
Read 2 more answers
The International Air Transport Association surveys business travelers to develop quality ratings for transatlantic gateway airp
motikmotik

Answer:

The 95% confidence interval for the population mean rating is (5.73, 6.95).

Step-by-step explanation:

We start by calculating the mean and standard deviation of the sample:

M=\dfrac{1}{n}\sum_{i=1}^n\,x_i\\\\\\M=\dfrac{1}{50}(6+4+6+. . .+6)\\\\\\M=\dfrac{317}{50}\\\\\\M=6.34\\\\\\s=\sqrt{\dfrac{1}{n-1}\sum_{i=1}^n\,(x_i-M)^2}\\\\\\s=\sqrt{\dfrac{1}{49}((6-6.34)^2+(4-6.34)^2+(6-6.34)^2+. . . +(6-6.34)^2)}\\\\\\s=\sqrt{\dfrac{229.22}{49}}\\\\\\s=\sqrt{4.68}=2.16\\\\\\

We have to calculate a 95% confidence interval for the mean.

The population standard deviation is not known, so we have to estimate it from the sample standard deviation and use a t-students distribution to calculate the critical value.

The sample mean is M=6.34.

The sample size is N=50.

When σ is not known, s divided by the square root of N is used as an estimate of σM:

s_M=\dfrac{s}{\sqrt{N}}=\dfrac{2.16}{\sqrt{50}}=\dfrac{2.16}{7.071}=0.305

The degrees of freedom for this sample size are:

df=n-1=50-1=49

The t-value for a 95% confidence interval and 49 degrees of freedom is t=2.01.

The margin of error (MOE) can be calculated as:

MOE=t\cdot s_M=2.01 \cdot 0.305=0.61

Then, the lower and upper bounds of the confidence interval are:

LL=M-t \cdot s_M = 6.34-0.61=5.73\\\\UL=M+t \cdot s_M = 6.34+0.61=6.95

The 95% confidence interval for the mean is (5.73, 6.95).

4 0
3 years ago
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