Joan’s finishing time for the Bolder Boulder 10K race was 1.83 standard deviations faster than the women’s average for her age group. There were 375 women who ran in her age group. Assuming a normal distribution, how many women ran faster than Joan?

Answer:

Option 3

Evens

. . . . . .. . ..

Answer:

yyyg h ug guy Judy bg

Step-by-step explanation:

by HGTV byf g gu o

Exactly 1 solution

I took the test in k12 and this is the correct answer.

Good luck

Answer:

3 and 9

Step-by-step explanation:

x+y=12

y-x=6

y-x=6

 +x.  +x

y=6+x

x+(6+x)=12

6+2x=12

-6.    -6

2x=6

/2. /2

x=3

3+y=12

-3.  -3

y=9

Hopes this helps please mark brainliest

The length of the segment of the MN is 10 units, by using the midpoint formula and distance formula.

The algebraic phrase is known as the distance formula, which provides the distances between two places in terms of their coordinates (see coordinate system). The distance formulas for points in rectangular coordinates in two- and three-dimensional Euclidean space are based on the Pythagorean theorem.

Since M is the midpoint of side AB and N is the midpoint of side AC, we can use the midpoint formula to find the coordinates of points M and N.

Midpoint Formula: (x₁ + x₂)/2, (y₁ + y₂)/2

For M:

(A x + B x)/2, (A y + B y)/2

= (18 + 0)/2, (0 + 0)/2

= 9, 0

For N:

(A x + C x)/2, (A y + C y)/2

= (18 + 20)/2, (0 + 0)/2

= 19, 0

Step 4: Now that we have the coordinates of M and N, we can use the distance formula to find the length of the segment MN.

Distance Formula: √((x₂ - x₁)² + (y₂ - y₁)²)

For MN:

√((19 - 9)² + (0 - 0)²)

= √(100)

= 10

Therefore, the length of the segment MN is 10 units.

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The equation that represents the cost, c, of n sets is c = 63.74n

from the question, we have the following parameters that can be used in our computation:

Each volleyball set costs $63.74.

Let the total number of sets be n

So we have

Cost of n = 63.74 * n

This gives

c = 63.74n

Hence, the equation is c = 63.74n

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Answer:

A. 0

B. 4

Step-by-step explanation:

88,541 and 88501 both round to 88,500 when you round to the nearest hundred because they ( 0 and 4) are both less than 5.

88,571 rounds to 88600 when rounding to the nearest hundred because 7 is bigger than 5 and 571 is closer to 600 than to 500.

Answer:

Step-by-step explanation:

Answer:

Company B

Step-by-step explanation:

Company A charges 25 per window, company b charges 40 per window, and company c charges 35 per window so company b has the highest rate

Answer:

company a the rate per window is $75

Step-by-step explanation:

the graph shows company a charges $75 for 1 window

company b (by the chart) charges $55

company c (using the equation) charges $60

35(1)+25=$60 (1 in the equation is the number of windows)

Answer:

2.38 kg

Step-by-step explanation:

5 lbs and 4 oz = 5.25 lbs

5.25 lbs to kg = 2.38

The weight of the newborn would be 2.38 kg.

Used the concept of measurement unit that states,

A measurement unit is a standard quality used to express a physical quantity. Also, it refers to the comparison between the unknown quantity with the known quantity.

Given that,

A newborn baby weighs 5 lb 4 oz.

Since we know that,

1 oz = 0.0625 lb

Hence,

4 oz = 4 × 0.0625 lb

       = 0.25 lb

So the newborn baby weighs is,

5 lb + 0.25 lb

= 5.25 lb

Since, 1 lb = 0.454 kg

Hence,

5.25 lb = 5.25 × 0.454

            = 2.3835 kg

Round to the nearest hundredth,

5.25 lb = 2.38 kg

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Hello

√12 = 2√3

√18 = 3√2

(2√3).(3√2)= 6√6

Good luck

The probability that a subject would guess more than 20 correct in a series of 36 trials is 0.0001

In a series of 36 trials, if the subject is guessing randomly, then the probability of correctly guessing odd or even is 1/2.

Let X be the number of correct guesses in a series of 36 trials. X follows a binomial distribution with parameters n = 36 and p = 1/2.

The probability of guessing more than 20 correct is:

P(X > 20) = 1 - P(X ≤ 20)

Using a binomial distribution table, we can find that P(X ≤ 20) = 0.9999 (rounded to four decimal places).

Therefore: P(X > 20) = 1 - 0.9999 = 0.0001

So the probability that a subject would guess more than 20 correct in a series of 36 trials is 0.0001 (rounded to four decimal places).

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Answer: False

Step-by-step explanation:

25% of the data is between Q1 and the median.

Answer:

2. or 3 one ejei2iieieieo2ow9w

Answer:

1

Step-by-step explanation:

cause she works 2 hours then her hour pay plus the $4 tip and you get 32

Answer:

12.3

Step-by-step explanation:

You will use cosine to solve for y because you are given the hypontenuse and need to find the adjacent side.

cos 35 degrees = adjacent/hypontenuse

cos 35 = y/ 15

15( cos35 ) = y

y=12.287

=12.3

The orthogonal projection of vector v onto vector w in R^3 is (-54/14, -159/70, -159/35).

To find the orthogonal projection of v onto w, we need to calculate the scalar projection of v onto w and multiply it by the unit vector of w. The scalar projection of v onto w is given by the formula:

proj_w(v) = (v⋅w) / (w⋅w) * w

where ⋅ denotes the dot product.

Calculating the dot product of v and w:

v⋅w = (-7)(-5) + (6)(-3) + (-6)(-6) = 35 + (-18) + 36 = 53

Calculating the dot product of w with itself:

w⋅w = (-5)(-5) + (-3)(-3) + (-6)(-6) = 25 + 9 + 36 = 70

Now, substituting these values into the formula, we have:

proj_w(v) = (53/70) * (-5,-3,-6) = (-54/14, -159/70, -159/35)

Therefore, the orthogonal projection of v onto w is (-54/14, -159/70, -159/35).

In simpler terms, the orthogonal projection of v onto w can be thought of as the vector that represents the shadow of v when it is cast onto the line defined by w. It is calculated by finding the component of v that aligns with w and multiplying it by the direction of w. The resulting vector (-54/14, -159/70, -159/35) lies on the line defined by w and represents the closest point to v along that line.

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we can use the trigonometric identity of cosine, therefore

Answer: KL is 79.2 feet

Answer:

Firstly we need to find the gradient of give two points as follows;

M= y

Answer:

Answer: y = -x - 1

Step-by-step explanation:

- Consider a straight line passing through (x, y) from the origin (0, 0). That line with a positive gradient of m and meets at a point (0, c) [y-intercept]

- It has a general equation as below;

\({ \rm{y = mx + c}} \\ \)

- So, consider the line given in our question; Let's find its slope m first;

\({ \rm{slope = \frac{y _{2} - y _{1} }{x _{2} - x _{1} } }} \\ \)

- From the points given in the question, (-7, 6) and (3, -4)

\({ \rm{m = \frac{ - 4 - 6}{3 - ( - 7)} }} \\ \\ { \rm{m = \frac{ - 10}{10} }} \\ \\ { \underline{ \rm{ \: m = - 1 \: }}}\)

- Therefore, our equation so far is y = -x + c. Our line has a negative slope that means it slants from top to bottom, its origin is its y-intercept

- Consider point (3, -4);

\({ \rm{y = - x + c}} \\ { \rm{ - 4 = - 3 + c}} \\ { \rm{c = - 1}}\)

- y-intercept is -1

hence equation is y = -x - 1

\({ \boxed{ \delta}}{ \underline{ \mathfrak{ \: \: beicker}}}\)

Answer:

w=40

Step-by-step explanation:

Let's solve your equation step-by-step.

w−8=32

Step 1: Add 8 to both sides.

w−8+8=32+8

w=40

Answer:

163.5 cubes

Step-by-step explanation:

Answer:

A gift box has dimensions of: 8 12 inches, 5 12 inches, and 2 12 inches, respectively. How many cubes with side lengths of 12 inches would be needed to fill the gift box?

116.875 cubes

163.5 cubes

935 cubes

1870 cubes

163.5 cubes

Step-by-step explanation:

A gift box has dimensions of: 8 12 inches, 5 12 inches, and 2 12 inches, respectively. How many cubes with side lengths of 12 inches would be needed to fill the gift box?

116.875 cubes

163.5 cubes

935 cubes

1870 cubes

163.5 cubes

If the median for equation 7 is 3 hours less than the median for the other grade, then this claim is probably accurate. The median is the place at which the top half of the data points and the bottom half are separated.

A mathematical equation is a process that links two statements and indicates equality with the equals sign (=). A mathematical assertion that proves the equality of the two equations is known as an equation in algebra. For instance, the equal sign separates the numbers 3x plus 5 and 14 in the equation 3x + 5 = 14.

OF. Both scores fall into the same first quartile.

If the box plots for both grades indicate the same length of the box from the bottom to the 25th percentile, then this assertion is probably accurate. (Q1). Thus, 25% of the data points for both grades would be below the same number.

The statistics for grade 7 are skewed to the left, OG.

This claim is more likely to be accurate if there are more data points for grade 7 that lie below the median than above it, and if the median for grade 7 is lower than the median for the other grade. As a result, the box plot would look asymmetrical, with the left side's tail being longer.

OH. For grade 7, the interquartile spread is larger.

If the box for grade 7 is longer than the box for the other grade, then this assertion is probably accurate. A longer box for grade 7 would suggest a wider range of values within that middle 50% since the box reflects the middle 50% of the data points (from the 25th percentile to the 75th percentile).

OJ. For grade 7, the norm is 3 hours less.

If the median for grade 7 is 3 hours less than the median for the other grade, then this claim is probably accurate. The median is the place at which the top half of the data points and the bottom half are separated.

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Answer:

Step-by-step explanation:

Hi,  Danna,  these are tough to figure out...

so,  first check to see if the 3 known angles add up to 180°,  they don't I checked, so, it tells us that the one angle 96° up at the top,  does not include ∠2 , which is good, b/c we now know 2 of the angles in that inner triangle.. and we know that a triangle adds up to 180° , so just find that last angle... the one opposite to ∠1 .... nice, if we get the ∠1' angle we can then also figure out ∠1

180-96-30=54

∠1' =54°

so ∠1= 180-54 =126°

we now know ∠1

use that , and that the next smaller triangle also adds up to 180

to find ∠2

∠2= 180-28-126=26°

∠1=126°

∠2 = 26°

:)  it's tough to think all of that through.  don't worry.  just keep working these , they will get easier.

Answer:

AE = 12 in.

CE = 12 in.

Answer: 70

Step-by-step explanation:

12*10 = 120-50 = 70

Answer:

i believe the answer would be option D

Step-by-step explanation:

The seven ordered pairs that fit on the axes of the graph include the following:

In order to use the given polynomial function to complete the table, we would have to substitute each of the values of x (x-values) into the polynomial function and then evaluate as follows;

When the value of x = -3, the output value of this polynomial function is given by;

y = x³ + 6

y = (-3)³ + 6

y = -27 + 6

y = -21

By observing critically the graph (see attachment), we can logically deduce that it represents a polynomial function.

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Answer:

to hard reeeeeee

Step-by-step explanation:

Surface Area of rectangular pyramid is lw + l√[(w ÷ 2)² + h²] + w√[(l ÷ 2)² + h²].

The area of ​​a rectangular pyramid is equal to the sum of the areas of the sides and faces of the rectangular pyramid. A quadrilateral pyramid is a three-dimensional shape with only a rectangular base and triangles on either side of the base.

The area of ​​the base of the rectangle is calculated by multiplying the length of the rectangle by the width of the rectangle.

The area of ​​a rectangle with a pyramidal formula is determined by observing the width, length, and height of the base,

S.A. = lw + l√[(w ÷ 2)² + h²] + w√[(l ÷ 2)² + h²],

where l is the length of the bottom of the rectangle, w is the width of the bottom of the rectangle, and h is the height.

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Answer: 0.2254

Step-by-step explanation:

Let E= Event of getting of female lives in a dorm.

F = Event of getting of female lives in a 'Other'.

From the table , n(E) = 276  and n(F) = 99

and n(E∩F) = 0  [E and F are Mutually exclusive]

Now, n(E∪F)=  n(E) + n(F) - n(E∩F)

= 276+99-0

= 375

also, n(S) =1664       (Sample size)

Required probability : \(P(E\cup F)=\dfrac{n(E\cup F)}{n(S)}\)

\(=\dfrac{375}{1664}\approx0.2254\)

Hence, the  probability that a customer is female and lives in a dorm or is female and lives in 'Other' = 0.2254

Therefore, the quotient when x³ - x² - 3x + 2 is divided by x - 2 is x² - 2x - 5 with a remainder of -3.

To find the quotient when x³ - x² - 3x + 2 is divided by x - 2, we will use the long division method. Here is the solution:  

Step 1: The first term of the quotient is x². Multiply x² by x - 2 to get x³ - 2x². Subtract this product from x³ - x² to get: x² - 3x² = -2x²

Step 2: Bring down the next term of the dividend, which is -3x. The new dividend is -2x² - 3x.

Step 3: The second term of the quotient is -2x. Multiply -2x by x - 2 to get -2x² + 4x. Subtract this product from -2x² - 3x to get -5x.

Step 4: Bring down the last term of the dividend, which is +2. The new dividend is -5x + 2. Step 5: The third term of the quotient is -5. Multiply -5 by x - 2 to get -5x + 10. Subtract this product from -5x + 2 to get -3.

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