All categories

3 years ago

Estimate 7/8 ÷ 11/12 the nearest whole number

Mathematics

2 answers:

swat323 years ago

8 0

Answer:

21/22

Step-by-step explanation:

(7/8)/(11/12)

(7/8)(12/11)

7*12=84

8*11=88

-----------

84/88

simplify

21/22

Please mark me as Brainliest if you're satisfied with the answer.

iren [92.7K]3 years ago

7 0

Answer:

Fraction Form: 21/22

Decimal Form: 0.95454545454545 (rounded up is 1)

Step-by-step explanation:

Dividing two fractions is equivalent to multiplying the first fraction by its reciprocal (inverse).

By switching the numerator and denominator and converting the operation to multiplication, you may get the reciprocal of the second fraction. The equation then becomes

$\frac{7}{11} * \frac{12}{11}$

To get the answer to fraction multiplication, multiply the numerators first, then the denominators.

$7 * 12= 84\\ 8 * 11 = 88$

This fraction can be lowered by dividing the numerator and denominator by the Greatest Common Factor of 84 and 88

<u>84</u> divided by 4 = <u>21</u>

88 divided by 4 = 22

ps can you please give me brainly

You might be interested in

Given the table, what is the y-intercept of the linear function?

motikmotik

Step-by-step explanation:

........................................

6 0

3 years ago

A sample of 16 ATM transactions shows a mean transaction time of 67 seconds with a standard deviation of 12 seconds. State the h

Soloha48 [4]

Answer:

Null hypothesis: $\mu \leq 60$

Alternative hypothesis: $\mu > 60$

Since we don't know the population deviation, is better apply a t test to compare the actual mean to the reference value, and the statistic is given by:

$t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}$ (1)

t-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".

Calculate the statistic

We can replace in formula (1) the info given like this:

$t=\frac{67-60}{\frac{12}{\sqrt{16}}}=2.33$

Step-by-step explanation:

Data given and notation

$\bar X=67$ represent the sample mean

$s=12$ represent the population standard deviation for the sample

$n=16$ sample size

$\mu_o =60$ represent the value that we want to test

$\alpha$ represent the significance level for the hypothesis test.

z would represent the statistic (variable of interest)

$p_v$ represent the p value for the test (variable of interest)

State the null and alternative hypotheses.

We need to conduct a hypothesis in order to check if the mean is higher than 60, the system of hypothesis would be:

Null hypothesis: $\mu \leq 60$

Alternative hypothesis: $\mu > 60$

Since we don't know the population deviation, is better apply a t test to compare the actual mean to the reference value, and the statistic is given by:

$t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}$ (1)

t-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".

Calculate the statistic

We can replace in formula (1) the info given like this:

$t=\frac{67-60}{\frac{12}{\sqrt{16}}}=2.33$

4 0

3 years ago

A committee that consists of five members are to be chosen from 6 boys and 5 girls. Find the number of different committees that

Maksim231197 [3]

Answer:

150 different committees can be formed

Step-by-step explanation:

We have 6 boys and 5 girls and we want to select 5 members

Out of these 5 members, two boys are selected

Since two boys are selected, we are left with three girls

So, out of 6 boys, we select 2 boys and out of 5 girls, we select 3 girls

Mathematically, we know that the number of ways in which we can select r items from a total n follows the combinatorial formula;

nCr = n!/(n-r)!r!

With this, we have;

6C2 * 5C3

= (6!/(6-2)!2!) * (5!/(5-3)!3!) = 150 different committees can be formed

3 0

3 years ago

A square has a side of 6.25 feet. What is the area in square feet? Round to the correct significant digits.

Snowcat [4.5K]

To get the area of a square, You just square one side or multiply 2 sides, I'm not sure what the rounding is, but 6.25 times 6.25 is 39.0625

4 0

3 years ago

Two hikers are miles apart and walking toward each other. They meet in hours. Find the rate of each hiker if one hiker walks mph

timurjin [86]

Answer:

where are the numbers

Step-by-step explanation:

5 0

3 years ago