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3 years ago

What is the ratio equal for 90:18

2 answers:

7 0

U have to think what numbers go into both those numbers
the biggest number that will go in
9 goes into 90 and 18
it goes to 90 ten times
and into 18 twice
so the ratio in its simplest form it 10:2

Ann [662]3 years ago

4 0

To find the ratio between 2 numbers, you need to find the GCF of those 2 numbers. If the GCF is the ratio, the ratio is in it's simplest form.
GCF of 90 and 18 is 18
divide both numbers by the GCF and the final simplest ratio is 5:1

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Answer I need help this question because I don’t know what it is and I need help

Lesechka [4]

Answer:

Step-by-step explanation:

QS and RS equal the same

5x - 8 = 3x + 2

-3x +8 -3x +8

2x = 10

x = 5 you would then plug x into QS

5(5) - 8

25 - 8

5 0

3 years ago

In a survey of 1,003 adults concerning complaints about restaurants, 732 complained about dirty or ill-equipped bathrooms and 38

Ganezh [65]

Answer:

$0.716 < p < 0.744$

$0.3498 < p < 0.4089$

With the result obtained from a and b the manager can be 95 % confidence that the proportion of the population that complained about dirty or ill-equipped bathrooms are within the interval obtained at a

and that

the proportion of the population that complained about loud or distracting diners at other tables are within the interval obtained at b

Step-by-step explanation:

From the question we are told that

The sample size is $n = 1003$

The number that complained about dirty or ill-equipped bathrooms is $e = 732$

The number that complained about loud or distracting diners at other tables is $q = 381$

Given that the the confidence level is 95% then the level of significance is mathematically represented as

$\alpha = (100- 95)\%$

$\alpha = 0.05$

Next we obtain the critical value of $\frac{\alpha }{2}$ from the normal distribution table , the value is

$Z_{\frac{\alpha }{2} } = 1.96$

Considering question a

The sample proportion is mathematically represented as

$\r p = \frac{e}{n}$

=> $\r p = \frac{732}{1003}$

=> $\r p = 0.73$

Generally the margin of error is mathematically represented as

$E = Z_{\frac{\alpha }{2} } * \sqrt{ \frac{ \r p (1- \r p)}{n} }$

$E = 1.96* \sqrt{ \frac{ 0.73 (1- 0.73)}{1003} }$

$E = 0.01402$

The 95% confidence interval is

$\r p - E < p < \r p +E$

$0.73 - 0.01402 < p < 0.73 + 0.01402$

$0.716 < p < 0.744$

Considering question b

The sample proportion is mathematically represented as

$\r p = \frac{q}{n}$

=> $\r p = \frac{381}{1003}$

=> $\r p = 0.3799$

Generally the margin of error is mathematically represented as

$E = Z_{\frac{\alpha }{2} } * \sqrt{ \frac{ \r p (1- \r p)}{n} }$

$E = 1.96* \sqrt{ \frac{ 0.3799 (1- 0.3799)}{1003} }$

$E = 0.0300$

The 95% confidence interval is

$\r p - E < p < \r p +E$

$0.3798 - 0.0300 < p < 0.3798 + 0.0300$

$0.3498 < p < 0.4089$

8 0

2 years ago

(3rd grade) for a thanks!

yuradex [85]

Figure a- 9×3 = 27 ft^2
figure b- 12 × 5 = 60 ft^2
figure c- 1/2(4×3) = 6 ft^2
figure d- 1/2(5×2) = 5 ft^2

5 0

3 years ago

Read 2 more answers

Suppose that the lifetime of tv tubes are normally distributed with a standard deviation of 1.1 years. Suppose that exactly 20%

IrinaK [193]

Answer:

4.924 years

Step-by-step explanation:

Lets denote X the lifetime of a tv tube (In years). X has distribution $N(\mu, 1.1)$ , with $\mu$ unknown.

We know that P(X < 4) = 0.2. Using this data, we can find the value of $\mu$ throught standarization.

Lets call $Z = \frac{X - \mu}{1.1}$ the standarization of X. Z has distribution N(0,1), and its cummulative function, $\phi$ is tabulated. The values of $\phi$ can be found in the attached file.

$P(X < 4) = P(\frac{X - \mu}{1.1} < \frac{4 - \mu}{1.1}) = P(Z < \frac{4 - \mu}{1.1}) = \phi(\frac{4 - \mu}{1.1}) = 0.2$

The value q such that $\phi (q) = 0.2$ doesnt appear on the table. We can find it by using the symmetry of the normal density function. The opposite of q, -q must verify that $\phi(-q) = 0.8$ , hence -q must be equal to 0.84. Thus, q = -0.84

But this value of q should match with the number $\frac{4 - \mu}{1.1}$ , so we have

$\frac{4- \mu}{1.1} = -0.84$

$4 - \mu = 1.1 * (-0.84) = -0.924$

$\mu = 4 - (-0.924) = 4.924$

Thus, the expected lifetime of TV tubes is 4.924 years.

I hope this works for you!

Download pdf

7 0

3 years ago

What is the volume of the sphere? (Use 3.14 for π.) 301.44 in.3 2,712.96 in.3 904.32 in.3 1,521.12 in.3

stealth61 [152]

The volume of the sphere is 904.32 inch³.

Step-by-step explanation:

Step 1:

The given sphere has a diameter of 12 inches, so the radius is $\frac{12}{2} = 6$ m.The volume of a sphere is given by multiplying $\frac{4}{3}$ with π and the cube of the radius (r³).

The volume of a sphere, $V = \frac{4}{3} \pi r^{3} .$

Step 2:

Here the radius is 6 inches. We take π as 3.14.

The volume of a full sphere, $V = \frac{4}{3} \pi r^{3} = \frac{4}{3} (3.14)(6^{3} ).$

$\frac{4}{3} (3.14) (6^{3})= 904.32$ in³ .

The volume of the sphere is 904.32 inch³, This is the third given option.

6 0

3 years ago