Kyle swam 450 yards in 5 minutes. What is the average number of yards he swam per minute?

Use the given scale factor in the side length of the scale drawing to determine the side links of the real object

ozzi

Answer:

A. side a is 7 inches long, side b is 6 inches long,and side c is 3 inches long

Step-by-step explanation:

Here is the complete question. Please find attached a diagram showing the scaled and real drawing

Use the given scale factor and the side lengths of the scale drawing to determine the side lengths of the real object

A. side a is 7 inches long, side b is 6 inches long,and side c is 3 inches long

B. side a is 30 inches long, side b is 25 inches long, and side c is 20 inches long

C. side a is 40 inches long, side b is 35 inches long,and side c is 20 inches long

D. side a is 175 inches long,side b is 150 inches long, and side c is inches long

A scale drawing is a reduced form in terms of dimensions of an original image / building / object

the scale drawing is usually reduced at a constant dimension

scale of the drawing = original dimensions / dimensions of the scale drawing

The scaled drawing is an enlarged image of the original triangle.

It is enlarged at a ratio of 5:1

original dimensions

a = 35/5 = 7

b = 30 / 5 = 6

c = 15/5 = 3

7 0

2 years ago

A random sample of 100 people was taken. Eighty of the people in the sample favored Candidate A. We are interested in determinin

riadik2000 [5.3K]

Answer:

Option b - not significantly greater than 75%.

Step-by-step explanation:

A random sample of 100 people was taken i.e. n=100

Eighty of the people in the sample favored Candidate i.e. x=80

We have used single sample proportion test,

$p=\frac{x}{n}$

$p=\frac{80}{100}$

$p=0.8$

Now we define hypothesis,

Null hypothesis $H_0$ : candidate A is significantly greater than 75%.

Alternative hypothesis $H_1$ : candidate A is not significantly greater than 75%.

Level of significance $\alpha=0.05$

Applying test statistic Z -proportion,

$Z=\frac{\widehat{p}-p_0}{\sqrt{\frac{p_0(1-p_0)}{n}}}$

Where, $\widehat{p}=80\%=0.80$ and $p=75%=0.75$

Substitute the values,

$Z=\frac{0.80-0.75}{\sqrt{\frac{0.75(1-0.75)}{100}}}$

$Z=\frac{0.80-0.75}{\sqrt{\frac{0.1875}{100}}}$

$Z=\frac{0.05}{0.0433}$

$Z=1.1547$

The p-value is

$P(Z>1.1547)=1-P(Z$

$P(Z>1.1547)=1-0.8789$

$P(Z>1.1547)=0.1241$

Now, the p-value is greater than the 0.05.

So we fail to reject the null hypothesis and conclude that the A is not significantly greater than 75%.

Therefore, Option b is correct.

7 0

3 years ago

Simplify this expression: 4p + 9 + (–7p) + 2 A. 3p + 11 B. 11p + 11 C. –3p + 11 D. 3p + 7

lutik1710 [3]

4p - 7p + 9 + 2
= -3p + 11
=C

8 0

3 years ago

Read 2 more answers

(-38) (378)(-836)= Positive Answer Negative Answer

Natalija [7]

9514 1404 393

Answer:

+12,008,304

Step-by-step explanation:

Your calculator can tell you the product is positive. (Any product involving an even number of minus signs will be positive.)

(-38)(378)(-836) = (38)(378)(836) = 12,008,304 . . . a positive answer

4 0

3 years ago

The perimeter of a rectangular rug is 30 yd and its length is 9 yd.find the area of this rug

Simora [160]

perimeter of a rectangular rug is 30 yd

P= L+L+W+W
P= 9+9+W+W
P= 18 + 2W
18 + 2W = 30
2W = 30-18
W= 12/2 = 6

A= L x W
A= 9 x w
A= 9 x 6 = 45 yd square

4 0

3 years ago