All categories

2 years ago

A small school has 27 boys .if the ratio of boys to girls is 9:4, how many students are their together

1 answer:

4 0

9:4, so for every 9 boys there are 4 girls. 27 is 3 times 9, so multiply 4 with 3, you get 12. Count them up and BOOM, 39

You might be interested in

In the triangle, x = 3. Find y.

hoa [83]

Where is this triangle you speak of

6 0

3 years ago

A random sample of 4000 college students yielded 2250 who are in favor of banning Hawaiian shirts. Estimate the true proportion

Andreas93 [3]

Answer: (0.5496, 0.5754)

Step-by-step explanation:

The confidence interval for population proportion (p) is given by :-

$\hat{p}\pm z*\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}$ , where $\hat{p}$ = Sample proportion , n= sample size , z*= Critical z-value.

Let p be the proportion of all college students who are in favor of banning Hawaiian shirt.

Given, A random sample of 4000 college students yielded 2250 who are in favor of banning Hawaiian shirts.

i.e. n=4000

$\hat{p}=\dfrac{2250}{4000}=0.5625$

z-value for 90% confidence level is 1.645

Now , 90% confidence interval for p would be :

$0.5625\pm (1.645)(\sqrt{\dfrac{0.5625(1-0.5625)}{4000}})$

$=0.5625\pm (1.645)(\sqrt{0.0000615234375})\\\\=0.5625\pm (1.645)(0.00784368774876)\\\\\approx0.5625\pm0.0129\\\\=(0.5625-0.0129, \ 0.5625+0.0129)\\\\=(0.5496,\ 0.5754)$

Hence, the required 90% interval = (0.5496, 0.5754)

6 0

3 years ago

It’s due tomorrow plz HELP

Vikentia [17]

$\dfrac{3}{4} + 5 - \dfrac{1}{2} = \dfrac{3}{4} + \dfrac{20}{4} - \dfrac{2}{4} = \dfrac{21}{4} = 5 \dfrac{1}{4}$

$\dfrac{2}{3} + {2}^{3} - \dfrac{1}{3} = \dfrac{2}{3} + \dfrac{24}{3} - \dfrac{1}{3} = \dfrac{25}{3} = 8 \dfrac{1}{3}$

$- 15 + 6x - 19 - 20x = - 14x - 34$

$- 7x - 2 - 9y + 10x = 3x - 9y - 2$

$14 + x = 18 \\ x = 18 - 14 \\ x = 4$

$- 5x = - 15 \\ x = - 15 \div ( - 5) \\ x = 3$

$- 2x + 8 = 18 \\ - 2x = 18 - 8 \\ - 2x = 10 \\ x = 10 \div ( - 2) \\ x = - 5$

$3x + 18 - 8x = - 17 \\ 3x - 8x = - 17 - 18 \\ - 5x = - 35 \\ x = - 35 \div ( - 5) \\ x = 7$

7 0

2 years ago

What are the solutions of the quadratic equation 49x^2=9?

Flauer [41]

<span>Simplifying 49x^2 + -9 = 0
Reorder the terms: -9 + 49x^2 = 0
Solving -9 + 49x^2 = 0 Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '9' to each side of the equation. -9 + 9 + 49x^2 = 0 + 9
Combine like terms: -9 + 9 = 0 0 + 49x^2 = 0 + 9 49x^2 = 0 + 9
Combine like terms: 0 + 9 = 9 49x^2 = 9
Divide each side by '49'. x^2 = 0.1836734694
Simplifying x^2 = 0.1836734694
Take the square root of each side: x = {-0.428571429, 0.428571429}

hope this helps!!</span>

5 0

2 years ago

1 Point

Sav [38]

Answer:

50, 52, 54, 55, 56, 56, 64, 65, 68, 74, 74, 76, 77, 77, 80, 81, 90, 91, 95, 99,

Step-by-step explanation:

6 0

2 years ago