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VMariaS [17]
1 year ago
9

The total number of reds, yellows, and

Mathematics
1 answer:
Alexeev081 [22]1 year ago
3 0

Using the total weight the number of red, green and yellow colour are 2, 4 and 3 respectively.

<h3>How to find each colour using total weight?</h3>

The total number of reds, yellows, and greens on a scale is 9.

The reds weighed 3 pounds each, the yellows weighed 6 pounds each, and the greens weighed 5 pounds each. The total weight is 44

pounds. There are 2 more greens than reds.

Therefore,

let

x = number of reds

number of greens = x + 2

y = number of yellow

Therefore,

x + x + 2 + y = 9

2x + y = 7

3x + 6y + 5(x + 2) = 44

3x + 6y + 5x + 10 = 44

8x + 6y = 34

Hence,

2x + y = 7

8x + 6y = 34

8x + 4y = 28

8x + 6y = 34

2y = 6

y = 6 / 2

y = 3

2x + 3 = 7

2x = 7 - 3

2x  = 4

x = 4 / 2

x = 2

Therefore,

the number red colour = 2

the number of green colour = 2 + 2 = 4

the number of yellow colour = 3

learn more on total weight here: brainly.com/question/4310004

#SPJ1

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Last year, 50% of MNM. Inc. employees were female. It is believed that there has been a reduction in the percentage of females i
Serhud [2]

Answer:

We conclude that there has been a significant reduction in the proportion of females.

Step-by-step explanation:

We are given the following in the question:

Sample size, n = 400

p = 50% = 0.5

Alpha, α = 0.05

Number of women, x = 118

First, we design the null and the alternate hypothesis  

H_{0}: p = 0.50\\H_A: p < 0.50

This is a one-tailed test.  

Formula:

\hat{p} = \dfrac{x}{n} = \dfrac{118}{400} = 0.45

z = \dfrac{\hat{p}-p}{\sqrt{\dfrac{p(1-p)}{n}}}

Putting the values, we get,

z = \displaystyle\frac{0.45-0.50}{\sqrt{\frac{0.50(1-0.50)}{400}}} = -2

Now, we calculate the critical value.

Now, z_{critical} \text{ at 0.05 level of significance } = -1.645

Since the calculated z-statistic is less than the critical value, we fail to accept the null hypothesis and reject it. We accept the alternate hypothesis.

Thus, there has been a significant reduction in the proportion of females.

3 0
3 years ago
The sum of two numbers is 84. One number is 6 more than the other. What is the smaller of the two numbers?
Pachacha [2.7K]

Answer:

The answer is 36. Say 42 + 42 is 84. Since one of the number is 6 more than the other, add 6 the first 42 and subtract 6 from the other number which will be 48 + 36 = 84. So the smaller of the two is 36.

Step-by-step explanation:

7 0
2 years ago
A ball is thrown vertically upward. After t seconds, its height h (in feet) is given by the function =ht−64t16t2. What is the ma
ryzh [129]
This is the concept of applications of polynomial equations. Given that the height of the ball is modeled by the function:
h(t)=16t^2-64t
the maximum height will be calculated as follows;
h(t)=16t(t-4)
therefore:
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8 0
3 years ago
PROBABILITY GUYYYS
Dmitry_Shevchenko [17]

Answer:

Since there are nine coins in total, and the chances of them both being dimes are low, it should be like 3/11

Step-by-step explanation:

You were correct on instinct lol :>

6 0
2 years ago
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Latrice is given an unknown substance and is asked to identify is based on his properties. She measures its mass as 239.6grams.
Iteru [2.4K]

Answer:

density =8.87g/cm³

From chart the density shows that it is a Colsibro copper alloy, a precipitation hardening copper nickel silicon.

Step-by-step explanation:

This problem bothers on the density of substances

Given data

Mass m of substance = 239.6grams

length l=3cm

width b=3cm

height h=3cm

Volume of substance =l*b*h

=3*3*3=27cm³

We know that the density of the substance ρ=mass/volume

ρ= 239.6/27= 8.87g/cm³

8 0
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