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2 years ago

Round to the nearest 100 438.7

Mathematics

1 answer:

Masja [62]2 years ago

5 0

Answer:

400

Step-by-step explanation:

438.7

438.7 to the nearest 100 is 400

300, 350, 400, 450, 500

Hope this helps!

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How do I do this ? I don’t understand logarithm

ale4655 [162]

Hello from MrBillDoesMath!

Answer:

x = 19

Discussion:

Both sides are logarithms to the same base, namely 20 , which implies the expressions in x (what we are taking logarithms of) must be equal. So we need to solve

4x - 10 = 3x + 9 => subtract 3x from both sides

4x-3x - 10 = 9 => add 10 to both sides

x = 9 + 10 = 19

Thank you,

MrB

8 0

2 years ago

10. Which of the following corresponds to the midpoint of the points A(-2, 5, -3) and B(7,-4, 10)

pochemuha

Answer:

Step-by-step explanation:

$mid ~point~of~A(-2,5,-3)~and~B(7,-4,10) ~is~C(\frac{-2+7}{2} ,\frac{5-4}{2} ,\frac{-3+10}{2} )\\=(\frac{5}{2},\frac{1}{2} ,\frac{7}{2} )$

4 0

3 years ago

An engineer has designed a valve that will regulate water pressure on an automobile engine. The valve was tested on 280 engines

DENIUS [597]

Answer:

The value of the test statistic is $t = -2.09$

Step-by-step explanation:

The null hypothesis is:

$H_{0} = 6.6$

The alternate hypotesis is:

$H_{1} \neq 6.6$

Our test statistic is:

$t = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}$

In which X is the sample mean, $\mu$ is the value tested at the null hypothesis, $\sigma$ is the standard deviation(square roof of the variance) and n is the size of the sample.

In this problem, we have that:

$X = 6.5, \mu = 6.6, \sigma = \sqrt{0.64} = 0.8, n = 280$

$t = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}$

$t = \frac{6.5 - 6.6}{\frac{0.8}{\sqrt{280}}}$

$t = -2.09$

The value of the test statistic is $t = -2.09$

4 0

3 years ago

How many lines can be drawn through points J and K?<br> ОО<br> o 1<br> O 2<br> O 3

valkas [14]

I'm not so sure but from what I know the answer is option 2

6 0

3 years ago

James makes fruit punch by mixing fruit jucie and lemonade in the ratio 1:4 she needs to make 40 liters of punch for a party How

Andrews [41]

Answer:

Part 1.

Juice = 8 L.

Lemonade = 32 L.

Part 2.

20 L punch Josie can make.

Part 3.

New ratio juice : lemonade = 2 : 9

Step-by-step explanation:

Part 1.

1+4 = 5 parts altogether, 1 parts for juice and 4 parts for lemonade.

40 : 5 = 8 L is 1 part.

Juice - 1 part - 8 L.

Lemonade - 4 parts - 4*8 = 32 L.

Part 2.

1 parts of juice needs 4 parts of lemonade

4 L of juice needs x L of lemonade

1 : 4 = 4 : x

x = 4*4/1 = 16 L lemonade

4+ 16 = 20 L punch Josie can make

Part 3.

It was 4 L of juice and 16 L of lemonade.

After 2 L lemonade was added, we have 4 L of juice and (16+2) = 18 L of lemonade.

4 L juice : 18 L lemonade = 4/2 L juice : 18/2 L lemonade =

= 2 L juice: 9L lemonade

New ratio juice : lemonade = 2 : 9

3 0

3 years ago