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3 years ago

At a party the ratio of males to females is 5:3.

Mathematics

1 answer:

vredina [299]3 years ago

3 0

Answer:

9 females

Step-by-step explanation:

Original ratio is 5:3 meaning to get 15 males you need to multiply by 3

which gives you 15 males.

Now do the same for females and multiply by 3 giving you your answer

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How much to the nearest dollar should you deposit in a savings account at 2.5% annual simple interest in order to have a balance

Aneli [31]

Answer:

The amount we have to deposit in a savings account x = $ 17777.78

Step-by-step explanation:

Amount = $ 20000

R = 2.5 %

Time = 5 years

Take principal amount = x

Simple interest earned in five years

S.I. = $\frac{P R T}{100}$

$S.I. = \frac{P (2.5)(5)}{100}$

$S.I. = \frac{x}{8}$ ------- (1)

We know hat total amount is given by

Total amount = principal amount + simple interest

A = x + S.I.

$A = x + \frac{x}{8}$

$A = \frac{9x}{8}$

Given that the total amount after 5 years is = $ 20000

$\frac{9x}{8} = 20000$

x = $ 17777.78

This is the amount we have to deposit in a savings account.

6 0

3 years ago

Graph the function f(x)= 2x -4

galben [10]

The y intercept and -4 and going down 2 and 1 right u til you reach the end of the graph

7 0

2 years ago

A concrete mix is designed to withstand 3000 pounds per square inch (psi) of pressure. The following data represent the strengt

ss7ja [257]

Answer:

Mean = 3640

Mode = 4100

Median = 3830.

Step-by-step explanation:

We are given the following data in the question:

Strength of casts (in psi):

3970,4100,3100,3200,2950,3830,4100,4050,3460

Formula:

$Mean = \displaystyle\frac{\text{Sum of all observation}}{\text{Total number of observations}}$

$\displaystyle\frac{3970+4100+3100+ 3200+ 2950+ 3830+4100+ 4050+ 3460}{9} = \displaystyle\frac{32760} {9} = 3640$

Mode is the entry with most frequency. Thus, for the given sample mode = 4100.

Median

Since n = 9 is odd,

Formula:

$Median = \displaystyle\frac{n+1}{2}th~term$

Data in ascending order:

2950,3100,3200,3460,3830,3970,4050,4100,4100

Median = 5th term = 3830.

7 0

3 years ago

TODAYTHIS WEEKCREDITS$Patricia was setting up a room with tables for an event. The room had9 maple tables, 10 poplar tables, 5 c

prohojiy [21]

As in each table can seat 8 people and the probability you need to find is about the first person you can ignore this data.

Probability that the first person to enter the room will be randomly seated at a maple table:

$P(maple)=\frac{#maple\text{ }tables}{#total\text{ }tables}$

#maple tables: 9

# total tables: 9 +10 +5 +7=31

$P(maple)=\frac{9}{31}$ Then, the probability that the first person to enter the room will be randomly seated at a maple table is 9/31

3 0

10 months ago

The length of a swimming pool is 8 m longer than it's width and the area is 105m²

Art [367]

width= 7m

Step-by-step explanation:

Area= L×W

L= (x+8)m

W=8m

105m²= (x+8)m × (x)m

105m²= x² + 8x

-x² - 8x + 105= 0

(x-7) (x+15) = 0

x= 7 x= -15

x=width = 7m

6 0

2 years ago

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