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3 years ago

7 of 8

Mathematics

2 answers:

Allisa [31]3 years ago

4 0

Answer:

3.95

Step-by-step explanation:

Order the numbers from least to greatest:

0.3, 0.7, 1.1, 2.9, 3.8, 4.1, 7.6, 9.8, 9.9, 10

Find the numbers in the middle:

3.8, 4.1

Find the mean of these two numbers:

(3.8+4.1)/2

3.95

Alexus [3.1K]3 years ago

3 0

Answer:

Your median is 4.1.

Step-by-step explanation:

What is the median

The median is a measure of central tendency. It represents the value for which 50% of observations a lower and 50% are higher. Put simply, it is the value at the center of the sorted observations.

Median formulas

This calculator uses two different formulas for calculating the median, depending on whether the number of observations is odd, or it is even when the number of observations is odd the formula.

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Find the x and y-intercept of the line -6x+12y=24

AleksAgata [21]

$-6x+12y=24\\\\x-intercept\ for\ y=0:\\\\-6x+12(0)=24\\-6x=24\qquad\text{divide both sides by (-6)}\\\boxed{x=-4}\to(-4,\ 0)\\\\y-intercept\ for\ x=0:\\\\-6(0)+12y=24\\12y=24\qquad\text{divide both sides by 12}\\\boxed{y=2}\to(0;\ 2)$

8 0

3 years ago

Mrs.Cleaver mixes 1.24 liters of red paint with 3 times of blue paint to obtain purple paint. She divides the paint equally in 5

slamgirl [31]

The amount of blue paint in each container is $\fbox{\begin\\\ 0.744 liters \end{minispace}}$ .

Further explanation:

Mrs. Cleaver mixes 1.24 litres of red paint with 3 times blue paint to obtain purple paint.

So, the amount of blue paint used is calculated as,

${3} \times {1.24}=3.72 \text { liters}$

Therefore, the total paint mixture is the sum of blue paint and red paint.

$\fbox{\begin \\\begin{aligned} \text{Total paint}= 1.24+3.72\\=4.96 \text{ liters}\\\end{aligned}\\\end{minispace}}$

Now, as Mrs. Cleaver divides the paint mixture equally in 5 containers so the amount of paint in one container is calculated as,

$\boxed{\begin{aligned}\text{Amount of paint in one container}&= \dfrac{4.96}{5}\\ &=0.992 \text{ liters} \end {aligned}}$

Since amount of blue paint mixed is three times the red paint so the fraction of blue paint to the total paint is $\dfrac{3}{4}$ .

Now, as it is known that the fraction of blue paint to the total paint is $\dfrac{3}{4}$ and the amount of paint in a container is $0.992 \text{ liters}$ then the blue paint in one container is calculated as,

$\boxed{\begin{aligned}\text{Blue paint in one container} =\dfrac{3}{4} \times 0.992\\=0.248 \text{ liters}\end{aligned}}$

Thus, the amount of blue paint in each container is $\fbox{\begin\\\ 0.744 liters \end{minispace}}$ .

Learn more:

1. To solve one variable linear equation brainly.com/question/1682776

2. Linear equation application brainly.com/question/2479097

3. Composite functions brainly.com/question/2142762

Answer details

Grade: Middle school

Subject: Mathematics

Chapter: Mixtures and ratios

Keywords: mixture, paint, red paint, blue paint, Mrs. Cleaver, purple paint, fraction, each container, five containers, divides, times, equally divide, mixes, liters.

4 0

3 years ago

Read 2 more answers

Carissa also has a sink that is shaped like a half-sphere. The sink has a volume of 4000/3*π in^3. One day, her sink clogged. Sh

In-s [12.5K]

Answer:

(A) 125 scoops

(B) 31 scoops

Step-by-step explanation:

The volume of a cup in terms of radius and height is ...

V = (1/3)πr²h

The radius is half the diameter, so the volume in terms of diameter is ...

V = (1/3)π(d/2)²h = (π/12)d²h

The number of cups it takes to empty the sink will be the sink volume divided by the cup volume, so will be ...

n = (4000π/3)/((π/12)d²h)

n = 16000/(d²h)

(A) The number of cups required of diameter 4 and height 8 is ...

n = 16000/(4²·8) = 125

125 scoops are required to empty the sink

(B) The number of cups required of diameter 8 and height 8 is ...

n = 16000/(8²·8) = 31.25 ≈ 31

31 scoops are required to empty the sink

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aleksklad [387]

The origin is (0, 0)

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SpyIntel [72]

Answer:

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