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3 years ago

A package of four bars of soap has a mass of 1 kilogram what is the mas of one bar of soap in milligrams

Mathematics

2 answers:

xenn [34]3 years ago

7 0

Answer:

1 Kilogram equals 1000000 milligrams (1 million)

Step-by-step explanation:

Alina [70]3 years ago

7 0

Answer:

250,000 milligrams

Step-by-step explanation:

1 package weighs 1kg

Divide by 4 since there are 4 bars of soap

1kg ÷ 4 = .25kg

Convert .25kg to mg

1kg=1,000,000mg

So multiply .25 by 1,000,000

.25×1,000,000=

250,000mg

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Can someone help me with my math homework?

zhenek [66]

See explanations

Step-by-step explanation:

6. The fraction can be written as;

$\frac{x^2}{2y} /\frac{y^2}{4} \\\\\frac{x^2}{2y} *\frac{4}{y^2} \\\\$

Divide 4 by 2

= $\frac{2x^2}{y^3}$

The fraction can be written as;

$\frac{b^2}{6} /\frac{b}{a}$

introduce product sign as

$\frac{b^2}{6} *\frac{a}{b} \\\\=b*a/6\\=\frac{ab}{6}$

The fraction can be written as;

$\frac{x}{y} /\frac{yx}{2}$

Introduce product sign

$\frac{x}{y} *\frac{2}{yx} \\\\=\frac{2}{y^2}$

The fraction can be written as;

$\frac{x}{y^2} /\frac{x}{y} \\\\\\=\frac{x}{y^2} *\frac{y}{x} \\\\\\=\frac{1}{y}$

10.

The fraction is simplified to;

$\frac{x}{3y} /\frac{9}{x} \\\\\\\frac{x}{3y} *\frac{x}{9} =\frac{x^2}{27y}$

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6 0

3 years ago

Boxes of raisins are labeled as containing 22 ounces. Following are the weights, in the ounces, of a sample of 12 boxes. It is r

ZanzabumX [31]

Answer:

A 90% confidence interval for the mean weight is [21.78 ounces, 21.98 ounces].

Step-by-step explanation:

We are given the weights, in the ounces, of a sample of 12 boxes below;

Weights (X): 21.88, 21.76, 22.14, 21.63, 21.81, 22.12, 21.97, 21.57, 21.75, 21.96, 22.20, 21.80.

Firstly, the pivotal quantity for finding the confidence interval for the population mean is given by;

P.Q. = $\frac{\bar X-\mu}{\frac{s}{\sqrt{n} } }$ ~ $t_n_-_1$

where, $\bar X$ = sample mean weight = $\frac{\sum X}{n}$ = 21.88 ounces

s = sample standard deviation = $\sqrt{\frac{\sum (X-\bar X)^{2} }{n-1} }$ = 0.201 ounces

n = sample of boxes = 12

$\mu$ = population mean weight

Here for constructing a 90% confidence interval we have used a One-sample t-test statistics because we don't know about population standard deviation.

So, 90% confidence interval for the population mean, $\mu$ is ;

P(-1.796 < $t_1_1$ < 1.796) = 0.90 {As the critical value of t at 11 degrees of

freedom are -1.796 & 1.796 with P = 5%}

P(-1.796 < $\frac{\bar X-\mu}{\frac{s}{\sqrt{n} } }$ < 1.796) = 0.90

P( $-1.796 \times {\frac{s}{\sqrt{n} } }$ < ${\bar X-\mu}$ < $1.796 \times {\frac{s}{\sqrt{n} } }$ ) = 0.90

P( $\bar X-1.796 \times {\frac{s}{\sqrt{n} } }$ < $\mu$ < $\bar X+1.796 \times {\frac{s}{\sqrt{n} } }$ ) = 0.90

90% confidence interval for $\mu$ = [ $\bar X-1.796 \times {\frac{s}{\sqrt{n} } }$ , $\bar X+1.796 \times {\frac{s}{\sqrt{n} } }$ ]

= [ $21.88-1.796 \times {\frac{0.201}{\sqrt{12} } }$ , $21.88+1.796 \times {\frac{0.201}{\sqrt{12} } }$ ]

= [21.78, 21.98]

Therefore, a 90% confidence interval for the mean weight is [21.78 ounces, 21.98 ounces].

8 0

3 years ago

Select the property of equality used to arrive at the conclusion.

Naya [18.7K]

Answer:

addition property of equality

Step-by-step explanation:

This is because the addition property of equality means

if $a=b$ then $a+c=b+c$

So if, $x=2$ then $x+8=2+8$

6 0

2 years ago

The bakers at Healthy Bakery can make 260 bagels in 10 hours. How many bagels can they bake in 24 hours? What was that rate per

kykrilka [37]

260 bagels in 10 hrs.....260/10 = 26 bagels per hr <== unit rate

if they can bake 26 bagels per hr.....in 24 hrs, they can bake (24 * 26) =
624 bagels

6 0

3 years ago

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Teresa buys a $2700 refrigerator using an installment plan that requires 20% down. How much is the down payment? A. $27 B. $270

jeka57 [31]

Answer:

C $540

Step-by-step explanation:

2700 / 10 = 270 = 10%

270 x 2 = 540 = 20%

7 0

2 years ago

Read 2 more answers