Solve the inequality: a - 4 <10
Α. α >14
B. a < 14
C. a <-14
D. a > 6
E. a<6

HELP!!

Answer:

0.0013 probability that at least 6 employees were over 50.

Step-by-step explanation:

The employees were "chosen" to be dismissed without replacement, which means that the hypergeometric distribution is used to solve this question.

Hypergeometric distribution:

The probability of x sucesses is given by the following formula:

[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]

In which:

x is the number of sucesses.

N is the size of the population.

n is the size of the sample.

k is the total number of desired outcomes.

Combinations formula:

[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

In this problem:

8 employees dismissed means that [tex]n = 8[/tex]

Had 7 + 17 = 24 employees, which means that [tex]N = 24[/tex]

7 over 50, which means that [tex]k = 7[/tex]

What is the probability that at least 6 employees were over 50?

6 or 7, so:

[tex]P(X \geq 6) = P(X = 6) + P(X = 7)[/tex].

In which

[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]

[tex]P(X = 6) = h(6,24,8,7) = \frac{C_{7,6}*C_{17,2}}{C_{24,8}} = 0.0013[/tex]

[tex]P(X = 7) = h(7,24,8,7) = \frac{C_{7,7}*C_{17,1}}{C_{24,8}} \approx 0[/tex]

[tex]P(X \geq 6) = P(X = 6) + P(X = 7) = 0.0013 + 0 = 0.0013[/tex]

0.0013 probability that at least 6 employees were over 50.

Answer:

Step-by-step explanation:

saw it on chegg

.05x+.17y=.13

x+y=60

The two correct equations are "[tex]0.05 x+0.17 y=0.13[/tex] and [tex]x+y=60[/tex]". A further solution is provided below.

According to the question,

Let,

Given total acid solution,

= 60 mL

then,

→  [tex]x+y = 60[/tex]...(equation 1)

We know that the concentration of mixture = 13%

hence,

→  [tex]5 \ percent \ of \ x + 17 \ percent \ of \ y =13 \ percent (x+y)[/tex]

or,

→  [tex]0.05x+0.17y=0.13(60)[/tex]

Thus the above answer is correct.

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Answer:

the answer is "NEVER GONNA GIVE YOU UP"

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

To find slope without a graph, you subtract the 2 y-coords and the 2 x-coords, then divide the y-coord by the x-coord.

The formula is (y²-y¹)/(x²-x¹).

So we just plug in the coordinates.

(10-(-2))/(7-4)

(10+2)/(7-4)

12/3

4

So the slope is 4.

---

hope it helps

The slope of the line passing through (4, -2) and (7, 10) is,

⇒ m = 4

The equation of line in point-slope form passing through the points

(x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

We have to given that;

Two points on the line are (4, -2) and (7, 10).

Since, The equation of line passes through the points (4, -2) and (7, 10).

So, We need to find the slope of the line.

Hence, Slope of the line is,

m = (y₂ - y₁) / (x₂ - x₁)

m = (10 - (-2)) / (7 - 4)

m = 12 / 3

m = 4

Thus, The slope of line = 4

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Answer:

Positive number: Elevation of a mountain above sea level, growth of a plant, money saved. Negative number: Temperature colder than 0.

Step-by-step explanation:

Elevation of a mountain that is above sea level is positive since it isn't below sea level, which would be negative, you are increasing as you go up. Growth of a plant is positive since it isn't growing shorter. Money saved since you aren't spending it. Temperature colder than 0 because that is when the negative numbers start to occur.

Answer:

Step-by-step explanation:

the first box goes in negative, second box in positive, third box in negative, and fourth box in positive.

* But for the first box i’m not completely sure, hope this helped.

Answer:

Area of the hub = 470.42 cm² (Approx.)

Step-by-step explanation:

Missing information;

Circumference of the hub = 76.87 cm

Value of π = 3.14

Find:

Area of the hub

Computation:

Circumference of the hub = Circumference of circle

2πr = 76.87

2(3.14)r = 76.87

6.28r = 76.87

Radius of hub = 12.24 cm

Area of the hub = Area of circle

Area of the hub = πr²

Area of the hub = (3.14)(12.24)²

Area of the hub = (3.14)(149.8176)

Area of the hub = 470.42 cm² (Approx.)

Yes,  If the circumference of the hub cap were​ smaller, Area will be small too.

Answer:

A - B = 11x² -9x + 14

A - B = 11x² -9x + 14

Answer:

Amount of soil need = 5,331.255 inch³ (Approx.)

Step-by-step explanation:

Given;

Number of conical planters = 5

Volume used in each planter = 3/4

Diameter of planter = 14 inch

Height of planter = 28 inch

Find:

Amount of soil need

Computation:

Radius of planter = 14 /2

Radius of planter = 7 inch

Amount of soil need = [Number of conical planters][Volume used in each planter][Volume of each planter]

Amount of soil need = [5][3/4][(1/3)(π)(r²)(h)]

Amount of soil need = [5][0.75][(0.33)(3.14)(7²)(28)]

Amount of soil need = [5][0.75][(0.33)(3.14)(49)(28)]

Amount of soil need = [3.75][1,421.66]

Amount of soil need = 5,331.255 inch³ (Approx.)

Answer:

10/13

Step-by-step explanation:

High. Very High

The total number of cards is 8 + 3 + 2 = 13

There are 3 green ones and 10 others.

P(~G) = 10/13 = 0.769

Answer:

A.

[tex] {b}^{2} + 3b - 3 = 0[/tex]

Step-by-step explanation:

[tex] {b}^{2} + 3b - 3 = 0 \\ because \: \: {b}^{2} < 4ac \\ {b}^{2} = {3}^{2} = 9 \\ 4ac = 4 \times 1 \times - 3 = - 12 \\ hence : {b}^{2} < 4ac[/tex]

Answer:

The anwser to this would be x=6 so C hope this helps :)

Answer:

it's 60 degree in my thinking

Step-by-step explanation:

hope this is the answer

Answer:

I think it's somewhere in the 80's or 70's

Step-by-step explanation:

bit you actually need a protractor to figure out the exact measurements

Answer:

The p-value of the test is 0.001 < 0.05, which means that there is evidence at the 0.05 level of significance that the mean one-time gift donation is greater than $70.

Step-by-step explanation:

Test if the mean one-time gift donation is greater than $70:

At the null hypothesis, we test if it is 70 or less, that is:

[tex]H_0: \mu \leq 70[/tex]

At the alternate hypothesis, we test if it is greater than 70, that is:

[tex]H_1: \mu > 70[/tex]

The test statistic is:

[tex]t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}[/tex]

In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, s is the standard deviation of the sample and n is the size of the sample.

70 is tested at the null hypothesis:

This means that [tex]\mu = 70[/tex]

Based on a random sample of 60 nonprofit organizations, the mean one-time gift donation in the past year was $75, with a standard deviation of $12.

This means that [tex]n = 60, X = 75, s = 12[/tex].

Test statistic:

[tex]t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}[/tex]

[tex]t = \frac{75 - 70}{\frac{12}{\sqrt{60}}}[/tex]

[tex]t = 3.23[/tex]

P-value of the test:

The p-value of the test is the probability of finding a sample mean above 75, which is a right-tailed test with t = 3.23 and 60 - 1 = 59 degrees of freedom.

Using a t-distribution calculator, this p-value is of 0.001.

The p-value of the test is 0.001 < 0.05, which means that there is evidence at the 0.05 level of significance that the mean one-time gift donation is greater than $70.

1- False

2- False

3- False

4-False

Answer:(0,10)

Step-by-step explanation:

The points On circle with a center at (0, 0) that includes the point (-1, -3) would be (0, 10).

If a circle O has a radius of r units length and that it has got its center positioned at (h, k) point of the coordinate plane,

then, its equation is given as:

[tex](x-h)^2 + (y-k)^2 = r^2[/tex]

We have given On circle with a center at (0, 0) that includes the point (-1, -3).

So the equation form

[tex](x-h)^2 + (y-k)^2 = r^2[/tex]

[tex](x-0)^2 + (y-0)^2 = r^2\\\\x^{2} +y^{2} =r^{2} \\\\(-1)^{2} +(-3)^{2} =r^{2} \\\\r^{2} = 10[/tex]

So, the other point that satisfies the equation would be (0, 10).

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9514 1404 393

Answer:

  C. triangle MPO is congruent to triangle MNO by SAS

Step-by-step explanation:

Enough information is given in the diagram so that we know ...

  ΔMNO ≅ ΔOPM

by either the SSS or SAS congruence postulates.

What makes statement C false is the fact that the vertices listed are not corresponding vertices.

_____

Additional comment

The wording here is of the form <angle 1> is congruent to <angle 2> by <some triangle congruence postulate>. A triangle congruence postulate can be used to show triangle congruence. Angle congruence must be based on a different claim.

Answer:

[tex]y=-3x-8[/tex]

Step-by-step explanation:

Hi there!

What we need to know:

1) Determine the midpoint of the line segment

When two lines bisect each other, they intersect at the middle of each line, or the midpoint.

[tex](\frac{x_1+x_2}{2} ,\frac{y_1+y_2}{2} )[/tex]

Plug in the endpoints (5, -3) and (-7, -7)

[tex](\frac{5+(-7)}{2} ,\frac{-3+(-7)}{2} )\\(\frac{-2}{2} ,\frac{-10}{2} )\\(-1,-5)[/tex]

Therefore, the midpoint of the line segment is (-1,-5).

2) Determine the slope of the line segment

Recall that the slopes of perpendicular lines are negative reciprocals. Doing this will help us determine the slope of the perpendicular bisector.

Slope = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex] where the given points are [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]

Plug in the endpoints (5, -3) and (-7, -7)

[tex]\frac{-7-(-3)}{-7-5}\\\frac{-7+3}{-7-5}\\\frac{-4}{-12}\\\frac{1}{3}[/tex]

Therefore, the slope of the line segment is [tex]\frac{1}{3}[/tex]. The negative reciprocal of [tex]\frac{1}{3}[/tex] is -3, so the slope of the perpendicular is -3. Plug this into [tex]y=mx+b[/tex]:

[tex]y=-3x+b[/tex]

3) Determine the y-intercept of the perpendicular bisector (b)

[tex]y=-3x+b[/tex]

Recall that the midpoint of the line segment is is (-1,-5), and that the perpendicular bisector passes through this point. Plug this point into [tex]y=-3x+b[/tex] and solve for b:

[tex]-5=-3(-1)+b\\-5=3+b[/tex]

Subtract 3 from both sides

[tex]-5-3=3+b-3\\-8=b[/tex]

Therefore, the y-intercept of the line is -8. Plug this back into [tex]y=-3x+b[/tex]:

[tex]y=-3x-8[/tex]

I hope this helps!

Answer:

solve each equation :

12) B) {0}

13)(B) {-3}

14) (C) {4}

Answer:

I have no ideal dat is it okkkkkkk

202203948575895959539393939

Answer:

g(x) = f(x + 2)

Step-by-step explanation:

The x value has been translated by 2

Feel free to mark it as brainliest :D

Answer: x < 10

Step-by-step explanation: Just like any of your two-step equations, in this inequality, start by isolating the x term which in this case is 6x by adding 5 to both sides.

That leaves you with 6x < 60 and now just divide both sides by 2 and x < 10.

Notice that because we divide both sides of the inequality

by a positive number, not a negative, we did not change the

direction of the inequality sign.

Finally, put your answer in set notation, {x: x < 10}.

Unlike an equation which normally has one solution, the answer to an inequality must be stated as a solution set because an entire set of answers will work. In this problem, it's any number less than 10.

Answer:

the perimeter is given in__in__, the height in_in___, and area of the base in_in²__.

so

none of the above.

Answer:

d

Step-by-step explanation:

none of the above

Answer:

x =41.18114952

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

We know the hypotenuse and adjacent sides

cos theta = adjacent / hypotenuse

cos x  = 14.3/19

taking the inverse cos of each side

cos^-1 (cos x) = cos ^-1 ( 14.3/19)

x =41.18114952

Answer:

Step-by-step explanation:

take x degree as reference angle

using cos rule

cos x=adjacent/hypotenuse

cos x=14.3/19

cos x=0.75

x=cos 41

x= 41 degree

Answer:

$11.50

Step-by-step explanation:

Answer:

1710

Step-by-step explanation:

you will multiply 1500 euros by the exchange rate

Answer:

P(A and B) = 0.14.

Step-by-step explanation:

Venn probabilities:

Suppose we have two events, A and B. The probability P(A and B) is given by:

[tex]P(A \cap B) = P(A) + P(B) - P(A \cup B)[/tex]

In which [tex]P(A \cup B)[/tex] is P(A or B).

In this question:

P(A) = 0.3, P(B) = 0.63, P(A or B) = 0.79. So

[tex]P(A \cap B) = P(A) + P(B) - P(A \cup B) = 0.3 + 0.63 - 0.79 = 0.93 - 0.79 = 0.14[/tex]

So

P(A and B) = 0.14.

(x – 3)² – 10 = 15

↓

[tex] {x}^{2} - 6x + 9 - 10 = 15[/tex]

[tex] {x}^{2} - 6x - 1 = 15[/tex]

[tex] {x}^{2} - 6x - 15 = 0[/tex]

[tex] {x}^{2} + 2x - 8x - 1 - 15 = 0[/tex]

[tex] {x}^{2} + 2x - 8x - 16 = 0[/tex]

[tex]x \times (x + 2) - 8x - 16 = 0[/tex]

[tex]x \times (x + 2) - 8(x + 2) = 0[/tex]

[tex](x + 2) \times (x - 8) = 0[/tex]

[tex]x + 2 = 0[/tex]

[tex]x - 8 = 0[/tex]

so,

[tex]x1 = - 2[/tex]

[tex]x2 = 8[/tex]

Answer:

Correct answer is "reflection, then rotation".

Step-by-step explanation:

The figure shows the following two operations:

1) Reflection through central horizontal line. ([tex]1 \to 2[/tex])

2) Rotation with center at the upper left corner of the reflected figure. ([tex]2 \to 3[/tex])

Therefore, correct answer is "reflection, then rotation".