All categories

2 years ago

In a recent survey of dog owners, it was

Mathematics

1 answer:

siniylev [52]2 years ago

6 0

Answer:

1749

Step-by-step explanation:

You would set up a proportion that says 901/x = 34/100. You would cross multiply to get that 34x = 90100. You would divide 90100 by 34 to get 2650. Then do 2650 - 901 to get 1749.

You might be interested in

There are two approaches to solving the equation -3x + 10 = 4x - 20 Subtract 4x from both sides. OR Add 3x to both sides. –7x +

Scrat [10]

Answer:

There are two approaches to solving the equation -3x + 10 = 4x - 20. The value of x after solving in both methods is 4.2857.

Solution:

Given, equation is -3x + 10 = 4x – 20.

We have to solve the given equation in two methods, now let us see the first method.

1st method ⇒ by subtracting 4x from both sides.

Then, -3x + 10 = 4x – 20 ⇒ -3x + 10 – 4x = 4x – 20 – 4x ⇒ -3x – 4x = -20 – 10 ⇒ -7x = -30 ⇒ 7x = 30

Then, x = $\frac{30}{7}$

Now, let us use the 2nd method.

2nd method ⇒ by adding 3x on both sides.

Then, -3x + 10 = 4x – 20 ⇒ -3x + 10 + 3x = 4x – 20 + 3x

⇒ 10 + 20 = 4x + 3x

⇒ 7x = 30

⇒ x = $\frac{30}{7}$

Hence, the value of x after solving in both methods is $\frac{30}{7}$ = 4.2857.

6 0

2 years ago

Read 2 more answers

Camille knew that a triangle had one side with a length of 16 inches and another side with a length of 20 inches. She did not kn

SSSSS [86.1K]

The unknown side is 9. Because 9 x 5= 45, 45 being the perimeter, that is 5 times the unknown side. And 45 is the sum of 9, 16, and 20.

5 0

2 years ago

Let the following sample of 8 observations be drawn from a normal population with unknown mean and standard deviation: 22, 18, 1

BigorU [14]

Answer:

a: Sample mean: 20, Sample standard deviation: 1.732

b: 19.13 <µ < 20.87

c: 18.84< µ < 21.16

d: as the confidence level increases, the interval becomes wider

Step-by-step explanation:

a: Sample mean is found by adding up all the individual values of the sample, then dividing by the total number of values in the sample.

Sample standard deviation is the square root of the variance

See the first attached photo for the calculations of these values.

We need to create a 80% confidence interval for the population. Since n < 30, we will use a t-value with degree of freedom of 7 (the degree of freedom is always one less than the sample size.

Look for the column on the t-distribution chart that has "area in two tails" of 0.20 (80%), and row 7 (degree of freedom)

The t-value is 1.415

See the second attached photo for the construction of the confidence interval

We need to create a 90% confidence interval for the population. Since n < 30, we will use a t-value with degree of freedom of 7 (the degree of freedom is always one less than the sample size.

Look for the column on the t-distribution chart that has "area in two tails" of 0.10 (90%), and row 7 (degree of freedom)

The t-value is 1.895

See the third attached photo for the construction of the confidence interval

3 0

2 years ago

If the test scores of a class of 35 students have a mean of 74.3 and the test scores of another class of 28 students have a mean

STALIN [3.7K]

Let the total sum of the scores of the first class of 35 students be a. The mean is 74.3 .

So
$\frac{a}{35}=74.3\\\\a=35\cdot74.3= 2600.5$

Also, let the total sum of the scores of the second class of 28 students be b. The mean is 67.6 .

so
$\frac{b}{28}=67.6\\\\ b=28\cdot67.6= 1892.8$

The combined group has 35+28=63 students. The sum of their scores is

a+b=2600.5+1892.8=4493.3

Thus, the mean of the combined group is $\frac{4493.3}{63}= 71.32$

6 0

2 years ago

Marco left his house and went to the sporting goods store to buy a basketball. He then went to jays house. Together the boys hea

mihalych1998 [28]

The map tells you 1 inch = 0.5 miles.

Multiply each dimension on the map by 0.5 to get the miles, then add them together:

House to Sports store = 2 x 0.5 = 1 mile.

Sports store to Jay's house = 3.75 x 0.5 = 1.875 miles.

Jay's house to park = 1.5 + 0.5 = 2 inches x 0.5 = 1 mile.

Total distance = 1 + 1.875 + 1 = 3.875 miles.

4 0

2 years ago

Read 2 more answers