Handedness: 18 left-handed
22 right-handed


The incomplete table above summarizes the number of left-handed students and right-handed students by gender for the eighth grade students at Keisel Middle School. There are 5 times as many right-handed female students as there are left-handed female students, and there are 9 times as many right-handed male students as there are left-handed male students. if there is a total of 18 left-handed students and 122 right-handed students in the school, which of the following is closest to the probability that a right-handed student selected at random is female? (Note: Assume that none of the eighth-grade students are both right-handed and left-handed.)
A) 0.410
B) 0.357
C) 0.333
D) 0.250
If shoppers enter a store at an average rate of r shoppers per minute and each stays in the store for average time of T minutes, the average number of shoppers in the store, N, at any one time is given by the formula N=rT. This relationship is known as Little's law.

The owner of the Good Deals Store estimates that during business hours, an average of 3 shoppers per minute enter the store and that each of them stays an average of 15 minutes. The store owner uses Little's law to estimate that there are 45 shoppers in the store at any time.

Little's law can be applied to any part of the store, such as a particular department or the checkout lines. The store owner determines that, during business hours, approximately 84 shoppers per hour make a purchase and each of these shoppers spend an average of 5 minutes in the checkout line. At any time during business hours, about how many shoppers, on average, are waiting in the checkout line to make a purchase at the Good Deals Store?

With ∠C=∠F, ΔABC and ΔDEF are congruent by AAS congruence. Therefore, option A is the correct answer.

Triangle congruence theorem or triangle congruence criteria help in proving if a triangle is congruent or not. The word congruent means exactly equal in shape and size no matter if we turn it, flip it or rotate it.

Consider ΔABC and ΔDEF,

Here, ∠B=∠E=50°

AB=DE=10 units

With ∠C=∠F

So, by AAS congruence theorem ΔABC and ΔDEF are congruent

Therefore, option A is the correct answer.

To learn more about the congruent theorem visit:

https://brainly.com/question/24033497.

#SPJ7

Step-by-step explanation:

since he was already on time on the first day, the question is reduced to the probability of being on time on exactly one of the next 2 days.

the probability to be on time on exactly one day means to be on time on one day and to be late on the other.

the probability to be late is the opposite of the probability to be on time, so

1 - 0.7 = 0.3

so, the probability for this combined event for one of the day combinations is

0.7 × 0.3 = 0.21

how many day combinations (1 day on time, the other late) can we have ? 2 (either on time on the first and late on the second, or late on the first and on time on the second).

so, we need to multiply this with the basic probability and get

0.21 × 2 = 0.42

so, b. is the right answer.

1. x=9

2. x=1

3. s=2

4. s= 2.5

5. s=6

6. T=5/6

7. x=1

8. y=2

9. x=120

10. x=16/13

11. x=-4

12. s=7

13. x=2

14. x=2

15. t=97/5

16. x=5/2

17. x=-70/3

Answer:

Also the quadrilateral shown is a rhombus

Step-by-step explanation:

Answer:

[tex]5 \times 5 = 25 [/tex]

[tex]25 \times 30 = 750[/tex]

=========================================================

Explanation:

We have a triangle with these side lengths

The order of 'a' and b doesn't matter, but we must have c as the largest value. Usually a,b,c are in ascending order.

Plug those values into the formula for the pythagorean theorem. If we get the same thing on both sides, then we have a right triangle.

[tex]a^2 + b^2 = c^2\\\\31^2 + 72^2 = 78^2\\\\961+5184 = 6084\\\\6145 = 6084\\\\[/tex]

We have a false statement at the end, which means the original equation is false for those a,b,c values.

Therefore, we do not have a right triangle.

Instead, this triangle is acute since the [tex]a^2+b^2[/tex] side is larger than the [tex]c^2[/tex] side

---------------

Rules to have in your notebook or on a reference sheet:

[tex]\text{If }a^2 + b^2 = c^2 \text{ then it is a right triangle}\\\\\text{If }a^2 + b^2 > c^2 \text{ then the triangle is acute}\\\\\text{If }a^2 + b^2 < c^2 \text{ then the triangle is obtuse}\\\\[/tex]

For more information, check out the converse of the pythagorean theorem.

Answer:

∠J = 31.06°

Step-by-step explanation:

Taking the inverse sin function :

Answer:

1 ft

Step-by-step explanation:

scale: 5 in. = 8 ft

Back wall scale measurement: 15 in.

Back wall real measurement: 15 in. × 8 ft / 5 in. = 24 ft

Each workstation measures 4 ft.

5 workstations measure 5 × 4 ft = 20 ft

24 ft - 20 ft = 4 ft

When you place 5 workstations, the outer two will be at the ends of the 24-ft wall. There will be 4 spaces between the workstations.

4 ft / 4 = 1 ft

Answer: 1 ft

Answer:

s = 132 square cm

Step-by-step explanation:

s = area of base + area of lateral faces

Area of base (triangle)

A = 1/2bh

A = 1/2(3)(4)

A = 1/2(12)

A = 6

There are two bases (triangles), so multiply the answer by 2.

6 x 2 = 12

Area of lateral faces (3 rectangles)

First rectangle:

A = lw

A = 5(10)

A = 50

Second rectangle:

A = lw

A = 4(10)

A = 40

Third rectangle:

A = lw

A = 3(10)

A = 30

Add all the areas together.

s = 12 + 30 + 40 + 50

s = 132 square cm

The statistical test would be a Z-test for the difference between the proportions.

The Z test is a parametric procedure that is used on data that is dispersed in a normal fashion. For testing hypotheses, the z test can be used on one sample, two samples, or proportions. When the population variance is known, it analyzes if the means of two big groups are dissimilar.

We have:

In a recent poll among 500 students, it was found that 60% of women and 68% of men eat meals on campus at least 3 times a week.

From the above data and the definition of the Z-test, the statistical test would be a Z-test for the difference between the proportions.

Thus, the statistical test would be a Z-test for the difference between the proportions.

Learn more about the Z-test here:

brainly.com/question/15683598

#SPJ1

Answer:

the correct answer is A, thats when cos of ttheta is

Answer:

3k

Step-by-step explanation:

8k and 5k are "like terms" because they have the same variable to the same degree. So because the are like terms they can be subtracted. Similarly to how 8-5 is 3,

8k - 5k is 3k

Answer:

b=125

Step-by-step explanation

9cm x 14 - 1 = 125

Answer:

50 miles per hour

Step-by-step explanation:

150 miles=3 hours

150/3=50

50miles 1 hour

100 miles 2 hours

150 miles 3 hours

each hour is 50 miles

Answer:

The rate of the car is 50 miles per hour

The equation that can be solved when the given quadratic formula is used is c. 3x² + 8x − 10 = -8.

The given quadratic equation is:

x = (-8 ± √(8² - 4(3)(-2))) / 2 (3)

Rewriting the quadratic equation in option C gives:
3x² + 8x − 2 = 0

Seeing as a quadratic equation takes the form:

x = (-b ± √(b² - 4(a)(c))) / 2 (a)

The formula becomes:

x = (-8 ± √(8² - 4(3)(-2))) / 2 (3) which is the given quadratic formula.

In conclusion, option C is correct.

Find out more on quadratic equations at https://brainly.com/question/1214333.

#SPJ4

Answer:

hope this helps!:)

Answer:

B) y = x - 50

Step-by-step explanation:

It is B because the graph's y-intercept lies on the point (0, -50), hence the equation, y = x - 50. In addition, you can verify that B is the correct answer because the slope of the graph is positive, and so the x-value also must be positive.

The value of [tex]\sin \beta[/tex] in the given triangle ABC is [tex]\dfrac{4}{5}[/tex]. Option D is correct.

Trigonometric ratios are the ratio of sides of a right angled triangle. There are 6 types of trigonometric ratios: sin, cos, tan, cosec, sec, and cot.

Sine trigonometric ratio is the ratio of perpendicular (side opposite to the angle) to the hypotenuse.

In the given figure, the side opposite to the angle [tex]\beta[/tex] is AC = 4 and the hypotenuse is AB = 5.

So, the sine ratio will be equal to,

[tex]\sin \beta=\dfrac{4}{5}[/tex]

Therefore, the value of [tex]\sin \beta[/tex] in the given triangle ABC is [tex]\dfrac{4}{5}[/tex]. Option D is correct.

Learn more about trigonometric ratios here:

https://brainly.com/question/1201366

#SPJ1

Answer:

2(c-2)=5

Step-by-step explanation:

Twice means to multiply by two. Difference is subtraction, and the difference is between a number (c) and 2. Together, the equation equals 5.

Hope this helps!

Answer:

Form: (x+5)^2 = 2

Solution: -6.41, -3.59

The length of the SM parallelogram when the length of the rectangle is 15 cm and width is 8 cm is 8/5 units.

Area of a rectangle is the product of the length of the rectangle and the width of the rectangle. It can be given as,

[tex]A=a\times b[/tex]

Here, (a)is the length of the rectangle and (b) is the width of the rectangle

The length of the rectangle is 15 cm and width is 8 cm. Thus, the area of it is,

[tex]A=15\times8\\A=120\rm\; cm^2[/tex]

All three parts has equal area. Thus, the area of parallelogram NCMA is,

[tex]A_p=\dfrac{120}{3}\\A_p=40\rm\; cm^2[/tex]

MN is the height of the parallelogram. Thus,

[tex]A_p=h\times AS\\40=h\times15\\h=\dfrac{40}{15}\\h=\dfrac{8}{5}[/tex]

Thus, the length of the Sm parallelogram when the length of the rectangle is 15 cm and width is 8 cm is 8/5 units.

Learn more about the area of rectangle here;

https://brainly.com/question/11202023

#SPJ1

Answer:

5.55 points

Step-by-step explanation:

25% reduction so its 75% of the original value

75% of 7.4 is 5.55

Answer:

See below ~

Step-by-step explanation:

Anthony has graphed the inequality y ≤ -2x + 1.

For an inequality using a > or < sign, a dotted line has to be used instead of a solid line.

Answer:

The last option {y | y is a real number}

Step-by-step explanation:

Since the graph is a cube root function, it has no range issues. So the range is all real numbers.

Answer:

1.cannot

2.can

3.cannot

4.can

Step-by-step explanation:

it's actually quite simple. if the angles add up to 180°, it is a triangle. so if they don't, then its not a triangle.

21+28+41= 90 -> not a triangle

65+45+70=180 -> triangle

48+52+54=154 -> not a triangle

16+40+124=180 -> triangle

And XZ=1/2XY

XZ be x

Now

XZ=21.4units

Answer:

XZ = 21.4 units

Step-by-step explanation:

If  ΔXYZ  is an isosceles triangle then XY = ZY

(the dashes on the line segments indicate they are of equal measure)

If XZ = ¹/₂XY then

⇒ 2XZ = XY = ZY

If the perimeter is 107 units:

⇒ Perimeter of ΔXYZ = XY + ZY + XZ

⇒ 107 = 2XZ + 2XZ + XZ

⇒ 107 = 5XZ

⇒ XZ = 107 ÷ 5

⇒ XZ = 21.4 units