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3 years ago

Type the correct answer in the box. Assume that π = 3.14, and round your answer to the nearest integer.

Mathematics

2 answers:

Hitman42 [59]3 years ago

8 0

We need to compute for the circumference of the circle and get 75% of the value because only 3/4 of the figure is a circle. 1/4 is substituted by the triangle.

I am assuming that the 35 yards is the radius of the circle.

Circumference = 3.14 * 2 * 35 yards = 219.80 yards
3/4 of the circumference = 219.80 * 3/4 = 164.85 yards

Perimeter = 164.85 yards + 45 yards = 209.85 yards

Ran round the field 3 times.
209.85 yards * 3 times = 629.55 yards

dangina [55]3 years ago

3 0

Answer:

630 Round to the nearest integer.

Step-by-step explanation:

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Can someone gimme the answer please

makvit [3.9K]

Answer:

g(x) = 1/4 f(x)

Step-by-step explanation:

(x,y) -> (x , 1/4 y) .. vertical compression

5 0

3 years ago

In a completely randomized experimental design, three brands of paper towels were tested for their ability to absorb water. Equa

arlik [135]

Answer:

Yes. At this significance level, there is evidence to support the claim that there is a difference in the ability of the brands to absorb water.

Step-by-step explanation:

The question is incomplete:

The significance level is 0.05.

The data is:

Brand X: 91, 100, 88, 89

Brand Y: 99, 96, 94, 99

Brand Z: 83, 88, 89, 76

We have to check if there is a significant difference between the absorbency rating of each brand.

Null hypothesis: all means are equal

$H_0:\mu_x=\mu_y=\mu_z$

Alternative hypothesis: the means are not equal

$H_a: \mu_x\neq\mu_y\neq\mu_z$

We have to apply a one-way ANOVA

We start by calculating the standard deviation for each brand:

$s_x^2=30,\,\,s_y^2=6,\,\,s_z^2=35.33$

Then, we calculate the mean standard error (MSE):

$MSE=(\sum s_i^2)/a=(30+6+35.33)/3=71.33/3=23.78$

Now, we calculate the mean square between (MSB), but we previously have to know the sample means and the mean of the sample means:

$M_x=92,\,\,M_y=97,\,\,M_z=84\\\\M=(92+97+84)/3=91$

The MSB is then:

$s^2=\dfrac{\sum(M_i-M)^2}{N-1}\\\\\\s^2=\dfrac{(92-91)^2+(97-91)^2+(84-91)^2}{3-1}\\\\\\s^2=\dfrac{1+36+49}{2}=\dfrac{86}{2}=43\\\\\\\\MSB=ns^2=4*43=172$

Now we calculate the F statistic as:

$F=MSB/MSE=172/23.78=7.23$

The degrees of freedom of the numerator are:

$dfn=a-1=3-1=2$

The degrees of freedom of the denominator are:

$dfd=N-a=3*4-3=12-3=9$

The P-value of F=7.23, dfn=2 and dfd=9 is:

$P-value=P(F>7.23)=0.01342$

As the P-value (0.013) is smaller than the significance level (0.05), the null hypothesis is rejected.

There is evidence to support the claim that there is a difference in the ability of the brands to absorb water.

3 0

3 years ago

A group of 5 friends ate lunch at a restaurant. The bill came to $42 and the friends agreed to split it equally. Which expressio

Gnom [1K]

Answer:

c would be the right and its the best answer

3 0

2 years ago

Find the lateral area of the prism. 4cm 3cm 6cm 5cm Lateral Area = [?]cm2

kolbaska11 [484]

Answer:

The lateral surface area of a prism is the sum of the surface areas of the sides of the prism.

Since the bases of the prism are triangles, there are three sides. The area of each lateral is the product of a side of the triangle times the height of the prism.

We can express this as Lateral Surface Area LSA = (s1xh) + (s2xh) + (s3+h), where "s1, s2, s3" are the lengths of the sides of the triangle and "h" is the height of the prism.

We can factor out "h" to get LSA = hx(s1+s2+s3) where the factor "s1+s2+s3" is the perimeter of the triangle.

Solving for "h", we get h = LSA / (s1+s2+s3)

For your specific problem, h = 300 / (4 + 5 + 6) = 300 / 15 = 20

4 0

2 years ago

in 2011, an Action Comics no. 1, featuring first appearance of superman, was sold at auction for $2,161,000. The comic book was

Salsk061 [2.6K]

Price of book in 1938 = $ 0.10

Price of book in 2011 = $ 2,161,000

Number of years over 1938-2011 = 2011 - 1938 = 73

Annual increase in the price = $((\frac{\text{Price of book in 2011}}{\text{Price of book in 1938}}) ^ \frac{1}{\text{Number of years}} - 1 ) * 100$

⇒ Annual increase in the price = $((\frac{2,161,000}{0.1}) ^ \frac{1}{73} - 1 ) * 100$

⇒ Annual increase in the price = (1.260302283 - 1 ) × 100

⇒ Annual increase in the price = 0.260302283 × 100

⇒ Annual increase in the price = 26.0302283 %

⇒ Annual increase in the price = 26%

Hence, the comic book price increased by 26% annually

3 0

3 years ago