Which graph represents the solution set of the inequality Negative 14.5 less-than x?
A number line going from negative 15 to negative 11. An open circle is at negative 13.5. Everything to the right of the circle is shaded.
A number line going from negative 15 to negative 11. A closed circle is at negative 14. Everything to the right of the circle is shaded.
A number line going from negative 15 to negative 11. An open circle is at negative 14.5. Everything to the right of the circle is shaded.
A number line going from negative 15 to negative 11. A closed circle is at negative 15. Everything to the right of the circle is shaded.

the world may never know

Answer:

Yeah, what the dude above me said.

Step-by-step explanation:

Answer:

a) P(odd) = 1/2

b) P(multiple of 3) = 1/4

c) P(not 5, 6, 7) = 5/8

d) P(n < 4) = 3/8

Step-by-step explanation:

a) half of the numbers on the spinner are odd

b) there are 2 multiples of 3 (3 and 6)

c) not 5,6,7 means P(1,2,3,4,8) which is 5/8

d) P(n < 4) = P(1,2,3) = 3/8

Answer:

If she swims everyday but tuesday and sunday she would had swim 6000m a week But if you going to count sunday she swims, 7800m a week.

Step-by-step explanation:

Start off with 1500m.

Since it's monday, wednesday, friday and saturday it would be

1500x4

Which equals 6000. If you want to add sunday into it just take the 6000 and add 1800 and you will get

7800.

Answer:

4 pounds and 2/3 of a pound

each bag would contain 2 pounds and 1/3 of a pound so two pounds would be two times that so 4 pounds and 2/3 of a pound is the answer.

i.dk if this is what u needed but good luck

hope this helped

Answer:

0% probability that the mean score for the B group will be at least five points higher than the mean score for the A group

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution, the central limit theorem, and subtraction of normal variables:

Normal probability distribution

When the distribution is normal, we use the z-score formula.

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

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

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.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Subtraction of normal variables:

When we subtract two normal variables, the mean is the subtraction of the mean of each variable, while the standard deviation is the square root of the sum of each variance.

Method A:

One student: N(75,30), so [tex]\mu = 75, \sigma = 30[/tex]

Samples of 100 students: [tex]n = 100, s = \frac{30}{\sqrt{100}} = 0.3[/tex]

Method B:

One student: N(74,40), so [tex]\mu = 74, \sigma = 40[/tex]

Samples of 100 students: [tex]n = 100, s = \frac{40}{\sqrt{100}} = 0.4[/tex]

What is the probability that the mean score for the B group will be at least five points higher than the mean score for the A group?

This is the probability that B - A >= 5. So

[tex]\mu_{B-A} = \mu_B - \mu_A = 74 - 75 = -1[/tex]

[tex]s_{B-A} = \sqrt{s_A^{2}+S_B^{2}} = \sqrt{(0.3)^2+(0.4)^2} = 0.5[/tex]

We have to find 1 subtracted by the pvalue of Z when X = 5. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{5 - (-1)}{0.5}[/tex]

[tex]Z = 12[/tex]

[tex]Z = 12[/tex] has a pvalue of 1

1 - 1 = 0, so

0% probability that the mean score for the B group will be at least five points higher than the mean score for the A group

Answer:

m<GHI = 17°

Step-by-step explanation:

m<GHI = (2x - 3)°

m<IGH = (2x + 15)°

m<HIJ = (7x - 18)°

<HIJ is an exterior angle of ∆GHI

<GHI and <HIJ are both interior angles of ∆GHI that are opposite to the exterior angle.

Therefore, based on the exterior angle theorem of a triangle, we would have the following equation:

m<GHI + m<IGH = m<HIJ

(2x - 3)° + (2x + 15)° = (7x - 18)° (substitution)

Solve for x

2x - 3 + 2x + 15 = 7x - 18

Add like terms

4x + 12 = 7x - 18

4x - 7x = -12 - 18

-3x = -30

Divide both sides by -3

x = 10

✔️m<GHI = (2x - 3)°

Plug in the value of x

m<GHI = 2(10) - 3 = 20 - 3

m<GHI = 17°

Answer: 2x^2 + 7x + 3

Step-by-step explanation:

(x+3)(2x+1)

(2x^2+1x+6x+3)

2x^2 + 7x + 3

Answer:

it would be a closed circle and to the right

Step-by-step explanation:

I have a little tip whenever the greater or less than sign is underlined it will always be closed, and when x is greater than -4.5 all the numbers that are greater than -4.5 will be on the right side so that will be your answer.

Answer:

11 / 21

Step-by-step explanation:

The ratio 22 to 42 can be written as: 22 : 42, and in fraction form as:

22 / 42  in this fraction we can cancel a common factor of 2 from numerator and denominator, leaving us with the reduced fraction:

2 * 11 / (2 *21) = 11 / 21

Answer:

1/14

Step-by-step explanation:

dont really know how to explain... just make sure to change both to a common denominator

Answer:

1/14

Step-by-step explanation:

Answer:

they have different answers

Step-by-step explanation:

X - 13 = 4 and 13 - X = 4

for x- 13 = 4

x=4+13=17

x=17

for 13 - x = 4

13-4-x=0

9-x=0

9=x

x=9

Answer:

Step-by-step explanation:

Answer:

12 months

Step-by-step explanation:

Set up a formula; 75 + 15x = 255

Now, solve for x, which is number of months.

subtract 75 from both sides.

15x = 180

divide both sides by 15.

x = 12

x is equal to 12 - she would have had to have the subscription for 12 months to spend 255$.

Answer:

No the pay rates are not equivalent.

Step-by-step explanation:

Your pay rate per 8 hours is $56.

Your friends pay rate per 8 hours is $72.

Answer:

The vertex of f(x) is at (-5,-10).

The function g(x) is decreasing at a rate of 5%.

The zeros of h(x) are at x = -3 and x = 1.

Step-by-step explanation:

Vertex of a quadratic function:

Suppose we have a quadratic function in the following format:

[tex]f(x) = ax^{2} + bx + c[/tex]

It's vertex is the point [tex](x_{v}, f(x_{v})[/tex]

In which

[tex]x_{v} = -\frac{b}{2a}[/tex]

If a<0, the vertex is a maximum point, that is, the maximum value happens at [tex]x_{v}[/tex], and it's value is [tex]f(x_{v})[/tex]

Decaying exponential function:

A decaying exponential function has the following format:

[tex]A(x) = A(0)(1-r)^{x}[/tex]

In which A(0) is the initial quantity and r is the decay rate.

Zeros of a function:

Given a polynomial f(x), this polynomial has roots [tex]x_{1}, x_{2}, x_{n}[/tex] such that it can be written as: [tex]a(x - x_{1})*(x - x_{2})*...*(x-x_n)[/tex], in which a is the leading coefficient.

Vertex of f:

The function f is given by:

[tex]3(x+5)^2 - 10[/tex]

Expanding the calculations to place at the correct format:

[tex]3(x+5)^2 - 10 = 3(x^2 + 10x + 25) - 10 = 3x^2 + 30x + 75 - 10 = 3x^2 + 30x + 65[/tex]

Which means that

[tex]a = 3, b = 30, c = 65[/tex]

The x-value of the vertex is:

[tex]x_{v} = -\frac{30}{2*3} = -5[/tex]

The y-value of the vertex is:

[tex]f(-5) = 3(-5+5)^2 - 10 = -10[/tex]

The vertex of f(x) is at (-5,-10).

Decreasing rate of g(x).

We have that:

1 - r = 0.95

So

r = 1 - 0.95 = 0.05

Which means that the decreasing rate is of 5%.

The zeros of h(x) are

The zeros are

x + 3 = 0 -> x = -3

x - 1 = 0 -> x = 1

So

The zeros of h(x) are at x = -3 and x = 1.

Answer:

X = 5

Step-by-step explanation:

Answer:

Refer to explanation below^

Step-by-step explanation:

Amy = x

Jennifer = x + 5

Father = x + 5 x 4 = 4x + 5

Total = 4x + 5 + x + 5 + x = 6x + 10

Answer:

sorry

Step-by-step explanation:

sana i review mo beh ng maayos..hehe wag puro tanong cge keep safe..

Answer:

C. (1, 2)

Step-by-step explanation:

3x + 4y = 12

3(1) + 4(2) = 12

3 + 8 = 12

12 = 12

Answer:

The length of side AB is

(50)^1/2

units. The length of side BC is

(65)^1/2

units. The length of side AC is

(145)^1/2

units. ∠ABC ≈  

105.26°.

Answer:

that is true

Step-by-step explanation:

Answer:

1/3 + 1/5 them you solve -2

Step-by-step explanation:

Answer:

-2/3x+2/5

Step-by-step explanation:

Open up parentheses

-2 x 1/3x= -2/3x

-2 x 1/5= 2/5

Answer:

The value of g(a) is:

Step-by-step explanation:

Given

As the function g(x) is given by

[tex]g(x)=3-2x[/tex]

To determine

g(a) = ?

In order to determine g(a),

substitute x = a in the function g(x) = 3 - 2x

g(x) = 3 - 2x

g(a) = 3 - 2(a)

g(a) = 3 - 2a

Therefore, the value of g(a) is:

Answer:

x=c-6

Step-by-step explanation:

6+x=c

-6    -6

x=c-6

Answer:

Mean :31.66

Median:35.5

Mode:35.5

Step-by-step explanation:

(hope this helps can i plz have brainlist :D hehe)

Answer:

53

Step-by-step explanation:

24+30= 54 which is about 53, so the answer would be 53.

Answer:

53

Step-by-step explanation:

The sin of a = opposite over hypotenuse.

sin(a)=24/30

sin(a)=0.8

a=The inverse sin of 0.8

a=53.13

Answer:

y - 4 = (1/3)(x - 9)  or x - 3y = -3

Step-by-step explanation:

Here we're told that the slope is 1/3 and that (9, 4) is a point on the line.  Use the point-slope formula  y - k = m(x - h).  Substitute 4 for k, 9 for h and 1/3 for m:

y - 4 = (1/3)(x - 9)  (point-slope formula)

3y - 12 = x - 9  (standard form of the same equation) = >

     -12 + 9 = x - 3y, or x - 3y = -3 (standard form)

Answer:

56 5/12 inches tall

Step-by-step explanation:

add karina and Janes inches together than add Cesar and then theres the height