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vivado [14]
3 years ago
9

Laura shades 60 squares on her hundredths grid And Billy shades 50 squares on his hundredths grid. Write the decimal number that

represents by what Laura shaded write the decimal number represented by what billy shaded compare the numbers with either <,>,or=
Mathematics
1 answer:
Andre45 [30]3 years ago
3 0

Answer:

Laura = 0.60

Billy = 0.50

0.60 > 0.50

Step-by-step explanation:

Given

Laura = 60\ shades

Billy = 50\ shades

Required

Represent using decimal number and compare

From the question, we understand that there are 100th grids;

So:

Laura = \frac{60}{100}

Laura = 0.60

Billy = \frac{50}{100}

Billy = 0.50

Comparing both decimals;

Since 0.60 is greater than 0.50, we have:

0.60 > 0.50

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In △PKQ, PK = KQ = 12, m∠P = 35º. Find PQ.
Neporo4naja [7]

The length of PQ is 19.66 units

Step-by-step explanation:

The given is:

1. PK = KQ = 12

2. m∠P = 35º

We need to find the length pf PQ

∵ PK = KQ

∴ m∠P = m∠Q

∵ m∠P = 35°

∴ m∠Q = 35°

The sum of measures of the angles of a triangle is 180°

∴ m∠P + m∠Q + m∠K = 180°

∴ 35 + 35 + m∠K = 180

∴ 70 + m∠K = 180

- Subtract 70 from both sides

∴ m∠K = 110°

Let us use cosine rule to find the length of PQ

∵ PQ = \sqrt{(KP)^{2}+(KQ)^{2}-2(KP)(KQ)cos(K)}

∵ PK = 12 , KQ = 12 , m∠K = 110°

- Substitute these values in the rule

∴ PQ = \sqrt{(12)^{2}+(12)^{2}-2(12)(12)cos(110)}

∴ PQ = 19.66

The length of PQ is 19.66 units

Learn more:

You can learn more about triangle in brainly.com/question/12985572

#LearnwithBrainly

4 0
3 years ago
Can someone help me with this please​
fredd [130]

Answer:

refgwtweqrt54hwvebrt45hwvgt4h5wvr4eth5wevr4gth5grwve4gth5

Step-by-step explanation:

8 0
3 years ago
"A laboratory tested 73 chicken eggs and found that the mean amount of cholesterol was 230 milligrams with LaTeX: \sigmaσ = 17.4
Scrat [10]

Answer:

The 95% confidence interval for the true mean cholesterol content, μ, of all such eggs is between 226.01 and 233.99 milligrams.

Step-by-step explanation:

We have that to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\alpha = \frac{1-0.95}{2} = 0.025

Now, we have to find z in the Ztable as such z has a pvalue of 1-\alpha.

So it is z with a pvalue of 1-0.025 = 0.975, so z = 1.96

Now, find M as such

M = z*\frac{\sigma}{\sqrt{n}}

In which \sigma is the standard deviation of the population and n is the size of the sample.

M = 1.96*\frac{17.4}{\sqrt{73}} = 3.99

The lower end of the interval is the sample mean subtracted by M. So it is 230 - 3.99 = 226.01

The upper end of the interval is the sample mean added to M. So it is 230 + 3.99 = 233.99.

The 95% confidence interval for the true mean cholesterol content, μ, of all such eggs is between 226.01 and 233.99 milligrams.

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3 years ago
PLS HURRY! WILL GIVE BRAINLIEST AND POINTS
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He will have 7.75 left from the 20 dollar bill he spent
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