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Mekhanik [1.2K]
3 years ago
11

Understanding subtraction of integers and other rational numbers? Please help

Mathematics
1 answer:
Aleonysh [2.5K]3 years ago
4 0
Same signs add and keep, different signs subtract and keep the sign of the higher number. If you subtract intergers you keep,change, change the signs .
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5. AC bisects Angle BAD. Find the measure of angle BAC.
alukav5142 [94]
If AC bisects < BAD, it means it cuts it into 2 equal parts

so < BAC = < CAD

3x + 12 = 5x
12 = 5x - 3x
12 = 2x
12/2 = x
6 = x

< BAC = 3x + 12.......3(6) + 12 = 30 degrees <===
6 0
3 years ago
7.) There are about 9,987,000 people that live in Michigan. How do you write
aliya0001 [1]
D.) 9,987,000 becomes 9.987 x 10^6
7 0
3 years ago
A door delivery florist wishes to estimate the proportion of people in his city that will purchase his flowers. Suppose the true
kvv77 [185]

Answer:

99.74% probability that the sample proportion will be less than 0.1

Step-by-step explanation:

I am going to use the binomial approximation to the normal to solve this question.

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

Can be approximated to a normal distribution, using the expected value and the standard deviation.

The expected value of the binomial distribution is:

E(X) = np

The standard deviation of the binomial distribution is:

\sqrt{V(X)} = \sqrt{np(1-p)}

Normal probability distribution

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

When we are approximating a binomial distribution to a normal one, we have that \mu = E(X), \sigma = \sqrt{V(X)}.

In this problem, we have that:

n = 276, p = 0.06

So

\mu = E(X) = np = 276*0.06 = 16.56

\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{276*0.06*0.94} = 3.9454

What is the probability that the sample proportion will be less than 0.1

This is the pvalue of Z when X = 0.1*276 = 27.6. So

Z = \frac{X - \mu}{\sigma}

Z = \frac{27.6 - 16.56}{3.9454}

Z = 2.8

Z = 2.8 has a pvalue of 0.9974

99.74% probability that the sample proportion will be less than 0.1

5 0
3 years ago
This is so confusing all of it makes no sense
Tom [10]

Answer:

D). 4\sqrt{2}

Step-by-step explanation:

<u>STEP 1a:</u> Find the last angle of the triangle. ( which is angle A)

A+90+45=180

<u>STEP 1b:</u> Solve the equation for A by adding 90 and 45.

A+135=180

<u>STEP 1c:</u> Then Move all terms not containing A to the right side of the equation by subtracting 135 from both sides of the equation

A=180-135

<u>STEP 1d:</u> Subtract 135 from 180.

A=45

STEP 2a: Find side b next.

STEP 2b: The cosine of an angle is equal to the ratio of the adjacent side to the hypotenuse.

cos(A)=\frac{adj}{hyp}

STEP 2c: Substitute the name of each side into the definition of the cosine function.

cos(A)=\frac{b}{c}

STEP 2d: Set up the equation to solve for the adjacent side, in this case b.

b=c*cos(A)

STEP 2e: Substitute the values of each variable into the formula for cosine.

b=8*cos(45)

STEP 2f: Cancel the common factor of 2.

a=4\sqrt{2}

HOPE THIS HELPS!

4 0
2 years ago
Read 2 more answers
PLEAASE HELP I NEED UNGROUNDED
omeli [17]

Answer:

y=3x-2

Step-by-step explanation:

The formula for slope is y=mx=b

You can find the slope by finding two points that lie on the line (1,1) & (0,-2)

The formula for slope is m=\frac{y_{2} -y_{1}}{ x_{2} -x_{1} }

You plug the values in and you get m=\frac{1-(-2)}{ 1 -0 }

Simplify and you get 3

The slope is 3

The y-intercept (b) is -2

4 0
1 year ago
Read 2 more answers
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