Explain why lincoln could only free slaves in the confederate states under the emancipation proclamation

Answer:

1.78 min

Step-by-step explanation:

so first you have to figure out the fastest runner

pepe 12 miles in 4.5 minutes

and paula ran 34 miles in 7.5 minutes

if you divide miles by minutes you get how many miles they ran in one minute

12/4.5=~2.67

34/7.5=~4.53

So you can see that paula is faster

if she ran ~4.5 miles in a minute then it would take her ~1.78 minutes to run 8 miles

they're both super humans though like woah

The baby born in week 40 weighs relatively less since its z-score -0.26, is smaller than the z-score of -0.16 for the baby born in week 32.

To find the z-score, we use the formula:

z = (x - μ) / σ

where x is the individual value, μ is the mean, and σ is the standard deviation.

For the 32-week gestation period baby (weight = 2575 grams):

For the 40-week gestation period baby (weight = 3075 grams):

Now, we round the z-scores to two decimal places:

Since the z-score for the 40-week baby (-0.26) is smaller than the z-score for the 32-week baby (-0.16), the correct answer is:

C. The baby born in week 40 weighs relatively less since its z-score -0.26, is smaller than the z-score of -0.16 for the baby born in week 32.

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Answer:

(A)

Step-by-step explanation:

The survey follows of women's height a normal distribution.

The height of 98.51% of women that meet the height requirement are between 58 inches and 80 inches.

The new height requirements would be 57.7 to 68.6 inches

The given parameters are:

\mathbf{\mu = 63.5}μ=63.5 --- mean

\mathbf{\sigma = 2.5}σ=2.5 --- standard deviation

(a) Percentage of women between 58 and 80 inches

This means that: x = 58 and x = 80

When x = 58, the z-score is:

\mathbf{z= \frac{x - \mu}{\sigma}}z=

σ

x−μ

This gives

\mathbf{z_1= \frac{58 - 63.5}{2.5}}z

1

=

2.5

58−63.5

\mathbf{z_1= \frac{-5.5}{2.5}}z

1

=

2.5

−5.5

\mathbf{z_1= -2.2}z

1

=−2.2

When x = 80, the z-score is:

\mathbf{z_2= \frac{80 - 63.5}{2.5}}z

2

=

2.5

80−63.5

\mathbf{z_2= \frac{16.5}{2.5}}z

2

=

2.5

16.5

\mathbf{z_2= 6.6}z

2

=6.6

So, the percentage of women is:

\mathbf{p = P(z < z_2) - P(z < z_1)}p=P(z<z

2

)−P(z<z

1

)

Substitute known values

\mathbf{p = P(z < 6.6) - P(z < -2.2)}p=P(z<6.6)−P(z<−2.2)

Using the p-value table, we have:

\mathbf{p = 0.9999982 - 0.0139034}p=0.9999982−0.0139034

\mathbf{p = 0.9860948}p=0.9860948

Express as percentage

\mathbf{p = 0.9860948 \times 100\%}p=0.9860948×100%

\mathbf{p = 98.60948\%}p=98.60948%

Approximate

\mathbf{p = 98.61\%}p=98.61%

This means that:

The height of 98.51% of women that meet the height requirement are between 58 inches and 80 inches.

So, many women (outside this range) would be denied the opportunity, because they are either too short or too tall.

(b) Change of requirement

Shortest = 1%

Tallest = 2%

If the tallest is 2%, then the upper end of the shortest range is 98% (i.e. 100% - 2%).

So, we have:

Shortest = 1% to 98%

This means that:

The p values are: 1% to 98%

Using the z-score table

When p = 1%, z = -2.32635

When p = 98%, z = 2.05375

Next, we calculate the x values from \mathbf{z= \frac{x - \mu}{\sigma}}z=

σ

x−μ

Substitute \mathbf{z = -2.32635}z=−2.32635

\mathbf{-2.32635 = \frac{x - 63.5}{2.5}}−2.32635=

2.5

x−63.5

Multiply through by 2.5

\mathbf{-2.32635 \times 2.5= x - 63.5}−2.32635×2.5=x−63.5

Make x the subject

\mathbf{x = -2.32635 \times 2.5 + 63.5}x=−2.32635×2.5+63.5

\mathbf{x = 57.684125}x=57.684125

Approximate

\mathbf{x = 57.7}x=57.7

Similarly, substitute \mathbf{z = 2.05375}z=2.05375 in \mathbf{z= \frac{x - \mu}{\sigma}}z=

σ

x−μ

\mathbf{2.05375= \frac{x - 63.5}{2.5}}2.05375=

2.5

x−63.5

Multiply through by 2.5

\mathbf{2.05375\times 2.5= x - 63.5}2.05375×2.5=x−63.5

Make x the subject

\mathbf{x= 2.05375\times 2.5 + 63.5}x=2.05375×2.5+63.5

\mathbf{x= 68.634375}x=68.634375

Approximate

\mathbf{x= 68.6}x=68.6

Hence, the new height requirements would be 57.7 to 68.6 inches

If the brain volumes (cm³) of 20 brains have a mean of 1085.2 cm³ and a standard deviation of 125.6 cm³. For such data: it is significantly low for a brain because 1386.4 cm³ is less than the upper limit.

Mean = 1085.2 cm³

Standard deviation = 125.6 cm³

Hence,

Lower limit = Mean - 2 x Standard deviation

Lower limit  =1085.2 - 2 x 125.6

Lower limit =1161.2 - 251.2

Lower limit  =910

Upper Limit = Mean + 2 x Standard deviation

Upper Limit = 1161.2 +  2 x 125.6

Upper Limit =1161.2 +251.2

Upper Limit =1412.4

The limit of values is from 910 to 1412.4.

A value below 910 will be is considered low and a value above 1412.4  will be considered high

Therefore 1386.4 cm³ is less than the upper limit. Thus it is significantly low for a brain.

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Answer:

No.

Step-by-step explanation:

You cannot have a domain with 2 different ranges.

The scale factor going from the first to the second triangle according to the task content is; 2.

The length of the longest side of.the triangle as required in the task content is; 24.

According to the task content, it follows that the two triangles are similar.

Therefore, the corresponding sides of such triangles must be in proportion.

Therefore the scale factor from the first to the second triangle as required is;

Scale factor = 12/6; since the shortest sides are corresponding sides.

Scale factor = 2.

Hence, since the length of the longest side in the first triangle is 14, the length of the longest side in the second triangle is;

L = 2 × 14

L = 28

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Step-by-step explanation:

To determine the value of x that satisfies the expression x^2 + 3x - 5 when x = 9, we simply substitute 9 for x and evaluate the expression:

9^2 + 3(9) - 5 = 81 + 27 - 5 = 103

Therefore, when x = 9, the expression x^2 + 3x - 5 evaluates to 103.

rate my answer, please.

The value of x is 18 if ∠C and ​ ∠D ​ are vertical angles. m∠C = 5x - 7 and m∠D = 8x – 55.

It is defined as the angles when two lines intersect each other and at the intersecting point, some pair of angles are formed which we call vertically opposite angles, as the name describes that they have vertically opposite angles.

It is given that:

∠C and ​ ∠D ​ are vertical angles.

From the definition of the vertically opposite angles:

5x-7 = 8x-55

After solving we get:

-7 = 3x -55

3x = 48

x = 16

Thus, the value of x is 18 if ∠C and ​ ∠D ​ are vertical angles. m∠C = 5x - 7 and m∠D = 8x – 55.

The complete question is:

∠C and ​ ∠D ​ are vertical angles. m∠C = 5x - 7 and m∠D = 8x – 55. What is m∠D ?

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The way the numbers will be placed in the square box will be:

First row = 4 12 14

Second row = 2 10 18

Third row = 6 8 16

It should be noted that the question is simply about adding the numbers and getting 39 in each place.

This will be:

First row = 4 12 14 = 4 + 12 + 14 = 30

Second row = 2 10 18 = 2 + 10 + 18 = 30

Third row = 6 8 16 = 6 + 8 + 16 = 30

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Answer:

Step-by-step explanation:

the integers are -8,-7,-6,-5,-4,-3,

Answer:

D

Step-by-step explanation:

8×16=128

2×4=8

128+8=136m^2

answer: D

The 95% confidence interval for the effectiveness of the blood-pressure drug is given as follows:

\(22.6 < \mu < 24.4\)

The mean, the standard deviation and the sample size for this problem, which are the three parameters, are given as follows:

\(\overline{x} = 23.5, \sigma = 12.2, n = 775\)

Looking at the z-table, the critical value for a 95% confidence interval is given as follows:

z = 1.96.

The lower bound of the interval is then given as follows:

\(23.5 - 1.96 \times \frac{12.2}{\sqrt{775}} = 22.6\)

The upper bound of the interval is then given as follows:

\(23.5 + 1.96 \times \frac{12.2}{\sqrt{775}} = 24.4\)

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In the quadrilateral ABCD and LBNM the corresponding angles and line segments are as follow,

∠A = ∠L, ∠D =∠M , ∠C = ∠N , and

AB = LB , CD = NM ,  DA = ML.

Quadrilateral ABCD rotates 180 degrees around point B,

New quadrilateral formed named LBMN

The corresponding angle after rotation of 180 degrees around B is equals to,

B remain at same position.

A rotates and point L take the position of A.

D rotates and point M take the position of D.

C rotates and point N take the position of C.

Corresponding angle to A is angle L.

Corresponding angle to D is angle M.

Corresponding angle to C is angle N.

Similarly corresponding segments are of ABCD and LBNM are

Line segment AB corresponds to line segment LB.

Line segment CD corresponds to line segment NM

Line segment DA corresponds to line segment ML.

Therefore, in the quadrilateral the corresponding angles and line segments are ∠A = ∠L, ∠D =∠M , ∠C = ∠N , AB = LB , CD = NM , and DA = ML.

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Answer:

8

Step-by-step explanation:

Well since the 55 degrees is the same as the equation. First I subtracted 55 by 15 which i got 40 then since the 5 and x are next to each other I divided that by 5 and got 8.

Hope this helps!

Explanation

Step 1

Let the vertices

When you reflect a point across the y-axis, the y-coordinate remains the same, but the x-coordinate is transformed into its opposite (its sign is changed)

then, apply the rule to find the new coordinates

I hope this helps you

According to the solution we have come to find that,  the salesperson will receive a commission of $15 for the week.

Probability is a measure of the likelihood or chance of an event occurring. It is a number between 0 and 1, where 0 means that the event is impossible and 1 means that the event is certain.

Probability can be calculated by dividing the number of favorable outcomes by the total number of possible outcomes. For example, if you roll a standard six-sided die, there are six possible outcomes, each with an equal chance of occurring. The probability of rolling a 3 is 1/6, because there is only one favorable outcome (rolling a 3) out of six possible outcomes.

If the salesperson gets a 5% commission on each pair of shoes they sell, we can calculate their commission by multiplying the total sales by 0.05 (which is 5% expressed as a decimal):

Commission = Total sales * 0.05

In this case, the total sales are $300, so we can plug that into the formula:

Commission = $300 * 0.05

Commission = $15

Therefore, the salesperson will receive a commission of $15 for the week.

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The blood platelet count is an illustration of normal distribution,

Approximately 95% of the data lies within 2 standard deviations of the mean.

There are approximately 99.7% of women with platelet count between 65.2 and 431.8.

Given parameters are:

μ = 248.5

σ = 61.1

(a) The percentage within 2 standard deviation of mean or between 126.3 and 370.7,

Start by calculating the z-score, when x = 126.3 and x = 370.7

Z = x-μ / σ

Therefore,

Z = 126.3-248.5/61.1

Z = -2

Also,

Z = 370.7-248.5/61.1

Z = 2

The empirical rule states that:

Approximately 95% of the data lies within 2 standard deviations of the mean.

Hence, there are approximately 95% of women with platelet count within 2 standard deviations of the mean.

(b) The percentage with platelet count between 65.2 and 431.8

Start by calculating the z-score, when x = 65.2 and x = 431.8

Z = 65.2-248.5/61.1

Z = -3

And,

Z = 431.8-248.5/61.1

Z = 3

The empirical rule states that:

Approximately 99.7% of the data lies within 3 standard deviations of the mean.

Hence, there are approximately 99.7% of women with platelet count between 65.2 and 431.8.

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Hope it's helpful!!

Answer:

P(Red) = 1/3

Step-by-step explanation:

Total number of marbles = 15

5 red

6 green

4 blue

Answer:

x=65°

Step-by-step explanation:

Next to x would be 70. (180-110=70).

Since this is an equilateral triangle, the other angle is also 70.

180-70-70=40, so the third angle is 40.

Since this is a right angle, the other angle is 50 (90-40=50).

Since that is 50, and this is an equilateral triangle, the other two angles have to be the same.

180-50=130

130÷2=65

Therefore , the solution of the given problem of fraction comes out to be Roman can thus perform 8 poster.

Any number of equal amounts or fractions can be used to represent a whole. In standard English, the quantity of a certain size is stated as a fraction. 8, 3/4. Wholes also include ratio. Numbers are represented in mathematics by the fraction to numerator ratio. These are all straightforward integer fractions. There is a fraction in the denominator of a difficult fraction. because the calculations, numerators, and numerators of actual fractions vary.

Here,

Given :

Roman divided a poster board sheet into ten equally sized pieces.

The entire sheet should be x.

then, one part of sheet=  1/1 0 of the sheet

Currently, only 8/10 of the poster is left after his brother used portion of it.

Roman can therefore use each remaining piece of the poster to create a sign if he so chooses.

The number of indications he is capable of making is then

=> 8/10/1/10

= > 8/10 * 10 = 8.

Roman can thus perform 8 signs.

Therefore , the solution of the given problem of fraction comes out to be

Roman can thus perform 8 poster.

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Answer:

We conclude that:

\(\left(x-2\right)^2=1\)

Step-by-step explanation:

Given the expression

\(x^2-4x+3=0\)

subtract 3 from both sides

\(x^2-4x+3-3=0-3\)

\(x^2-4x=-3\)

Add -2² to both sides

\(x^2-4x+\left(-2\right)^2=-3+\left(-2\right)^2\)

simplify

\(x^2-4x+\left(-2\right)^2=1\)

Applying the perfect square formula: (a-b)² = a²-2ab+b²

so

\(\left(x-2\right)^2=1\)              ∵ \(x^2-4x+\left(-2\right)^2=\left(x-2\right)^2\)

Therefore, we conclude that:

\(\left(x-2\right)^2=1\)

Answer:

The exact value of the other leg is 10.

Step-by-step explanation:

Finding the exact value of x given a 45 degree angle and a side length of 10 can be done using trigonometry. In a 45-45-90 right triangle, the two legs are congruent and the hypotenuse is equal to the square root of 2 times the length of the legs.

Therefore, if one leg is 10, the hypotenuse is 10 times the square root of 2. To find the length of the other leg, we can use the Pythagorean theorem:

c^2 = a^2 + b^2, where c is the hypotenuse, a and b are the legs of the right triangle.

Substituting known values, we get:

(10√2)^2 = 10^2 + b^2

200 = 100 + b^2

b^2 = 100

b = 10

Therefore, the exact value of the other leg is 10.

El máximo común divisor es 12

Por cierto, hablo inglés, así que estoy usando Google Translat. :)

x < 0 shows actually the negative side of the x- axis.

x > 2 shows actually the positive side of the x- axis after x = 2 point.

Graph are shown below.

This can be solved using the concept of inequality.

The term "inequality" in mathematics refers to a connection between two expressions or values that is not equal to each other. Inequality originates from an imbalance, thus. The majority of the time, size comparisons between two numbers on the number line are made.

There are four fundamental types of inequality: less than ( < ), larger than(>), less than or equal to ( ≤ ), and more than or equal to( ≥ ).

Here, x < 0 shows actually the negative side of the x- axis.

x > 2 shows actually the positive side of the x- axis after x = 2 point.

The graph is attached in the below for better understanding.

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