MATHEMATICS COLLEGE

What number is 10 times as much as 90?

Answers

Answer 1

Answer:

Answer:

900

Step-by-step explanation:

10 times as much means *10

so we have

90*10=900

Answer 2

Answer:

Answer:

900

Step-by-step explanation:

10 x 90 = 900

90 + 90 + 90 + 90 + 90 + 90 + 90 + 90 + 90 + 90 = 900

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70 = 10 + 12r solve each equation

Answers

Answer:

r = 5

Step-by-step explanation:

70 = 10 + 12 r

-10 -10

____________

60 = 12r

/12 /12

_______

5 = r

Answer:

Step-by-step explanation:

70-10=60

60=12r

60/12=5

r=5

On an intramural softball team, the proportion of hits to at bats for the entire team during the last season was 30% of 300 attempts. Estimate the true proportion of hits using a 90% CI. The answers need to be proportions (not percents) and rounded to the nearest hundredth (two (2) decimal places) to be counted as correct. (For example, if my CI is (0.1002, 0.2159) then they need to be input as 0.10 and 0.22 to be correct. **These are not the answers to this question :-) **)The lower bound is____ and the upper bound is ____

Answers

Answer: The lower bound is 0.26 and the upper bound is 0.34.

Step-by-step explanation:

Formula to find the confidence interval for population proportion (p) is given by :_

$\hat{p}\pm z^* \sqrt{\frac{\hat{p}(1-\hat{p})}{n}}$

, where n= sample size

z* = Critical value. (two-tailed)

$\hat{p}$ = Sample proportion.

Let p be the true population proportion of hits to at bats for the entire team during the last season.

As per given , we have

n= 300

$\hat{p}=0.30$

By z-table , the critical value for 90% confidence interval : z* = 1.645

Now , 90% confidence interval for the proportion of hits to at bats for the entire team during the last season:

$0.30\pm (1.645) \sqrt{(0.30(1-0.30))/(300)}$

$0.30\pm (1.645) √(0.0007)$

$0.30\pm (1.645) (0.0264575131106)$

$\approx0.30\pm0.0435$

$=(0.30-0.0435,\ 0.30+0.0435)\n\n=(0.2565,\ 0.3435)\approx(0.26,\ 0.34)$

The lower bound is 0.26 and the upper bound is 0.34.

Solve the equation using the Subtraction Property of Equality: x + 1/2 = 5/2

Answers

Answer:

x = 2

Step-by-step explanation:

$(5)/(2) - (1)/(2) = (4)/(2)$

and 4/2 = 2

I need help on this, all I need to know is how to find the missing angle, no answer just the equation. Thank you!

Answers

Answer:

How to Find a Missing angle in a triangle

Step-by-step explanation:

1st Make sure the sum adds up to 180 degrees add the two angles together and the subtract from 180 If two angles are the same and unknown, subtract the known angle from 180° and then divide by 2.

:) Hope this Helps

Answer:

X = 50

Step-by-step explanation:

The sum of all angles in a triangle is 180 degrees:

So, 180 = 65 + 65 + X

180 = 130 + X

130 + X = 180

X = 180 - 130

X = 50 degrees

Hope it helps!

What is 04.151515... into a fraction

Answers

Answer:

$\displaystyle 4.\overline{15} = (137)/(33)$ .

Step-by-step explanation:

Start by separating this decimal number into its integer part and its fraction part:

$4.151515\cdots = 4 + 0.151515\cdots$

The most challenging task here is to express $0.151515\cdots$ as a proper fraction. Once that fraction is found, expressing the original number $4.151515\cdots$ will be as simple as rewriting a mixed number as an improper fraction.

Let $x = 0.151515\cdots$ . $(x + 4)$ would then represent the original number.

Note that the repeating digits appear in groups of two. Therefore, if the digits in $x$ are shifted to the left by two places, the repeating part will continue to match:

$\begin{aligned}x = 0.&151515\cdots && \n 100\, x = 15.& 151515\cdots \end{aligned}$ .

Note, that this "shifting" is as simple as multiplying the initial number by $100$ (same as $10$ raised to the power of the number of digits that needs to be shifted.)

Subtract the original number from the shifted number to eliminate the fraction part completely:

$\begin{aligned}&(100\, x) - x \n &= 15.151515\cdots\n & \phantom{=}- 0.151515\cdots\n&=15 \end{aligned}$ .

In other words:

$99\, x = 15$ .

$\displaystyle x = (15)/(99) = (5)/(33)$ .

Therefore, the original number would be:

$\displaystyle x + 4 = (5)/(33) = (132 + 5)/(33) = (137)/(33)$ .

Li enters a competition to guess how many jelly beans are in a jar.Li’s guess is 345 jelly beans.
The actual number of jelly beans is 300.

What is the percent error of Li’s guess?

Answers

Answer:

Step-by-step explanation:

345-300 X 100 = 15%

300

Answer:

Percent error =

15%

Li’s guess was off by

15%.

Step-by-step explanation:

TTM </3

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