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2 years ago

Can someone help with this?

Mathematics

1 answer:

aleksklad [387]2 years ago

4 0

Answer:

Its the second one

Step-by-step explanation

the reason why is because

<= less than- so it goes to the left and since its not less than or equal to its an open circle instead of a closed circle.

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3. Find the domain and range of the function represented by the graph.

maks197457 [2]

The range is 1 to -3 (both included) and the domain is -3 to 2 (both included)

4 0

1 year ago

What is the range of the following function

AleksAgata [21]

The range is the set of y.

(-4, 4) → 4

(-3, 0) → 0

(-2, 1) → 1

(-1, 3) → 3

(0, 0) → 0

(1, 5) → 5

Answer: {0, 1, 3, 4, 5}

3 0

2 years ago

A large manufacturing firm tests job applicants who recently graduated from college. The test scores are normally distributed wi

Sergeeva-Olga [200]

Answer:

The lowest score a college graduate must be 577.75 or greater to qualify for a responsible position and lie in the upper 6%.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 500

Standard Deviation, σ = 50

We are given that the distribution of test score is a bell shaped distribution that is a normal distribution.

Formula:

$z_{score} = \displaystyle\frac{x-\mu}{\sigma}$

We have to find the value of x such that the probability is 0.06.

P(X > x) = 6% = 0.06

$P( X > x) = P( z > \displaystyle\frac{x - 500}{50})=0.06$

$= 1 - P( z \leq \displaystyle\frac{x - 500}{50})=0.06$

$=P( z \leq \displaystyle\frac{x - 500}{50})=1-0.06=0.94$

Calculation the value from standard normal z table, we have,

$P(z < 1.555) = 0.94$

$\displaystyle\frac{x - 500}{50} = 1.555\\x = 577.75$

Hence, the lowest score a college graduate must be 577.75 or greater to qualify for a responsible position and lie in the upper 6%.

5 0

3 years ago

I need help with #1 of this problem. It has writings on it because I just looked up the answer because I’m confused but I want t

belka [17]

In the figure below

1) Using the theorem of similar triangles (ΔBXY and ΔBAC),

$\frac{BX}{BA}=\frac{BY}{BC}=\frac{XY}{AC}$

Where

$\begin{gathered} BX=4 \\ BA=5 \\ BY=6 \\ BC\text{ = x} \end{gathered}$

Thus,

$\begin{gathered} \frac{4}{5}=\frac{6}{x} \\ \text{cross}-\text{multiply} \\ 4\times x=6\times5 \\ 4x=30 \\ \text{divide both sides by the coefficient of x, which is 4} \\ \text{thus,} \\ \frac{4x}{4}=\frac{30}{4} \\ x=7.5 \end{gathered}$

thus, BC = 7.5

2) BX = 9, BA = 15, BY = 15, YC = y

In the above diagram,

$\begin{gathered} BC=BY+YC \\ \Rightarrow BC=15\text{ + y} \end{gathered}$

Thus, from the theorem of similar triangles,

$\begin{gathered} \frac{BX}{BA}=\frac{BY}{BC}=\frac{XY}{AC} \\ \frac{9}{15}=\frac{15}{15+y} \end{gathered}$

solving for y, we have

$\begin{gathered} \frac{9}{15}=\frac{15}{15+y} \\ \text{cross}-\text{multiply} \\ 9(15+y)=15(15) \\ \text{open brackets} \\ 135+9y=225 \\ \text{collect like terms} \\ 9y\text{ = 225}-135 \\ 9y=90 \\ \text{divide both sides by the coefficient of y, which is 9} \\ \text{thus,} \\ \frac{9y}{9}=\frac{90}{9} \\ \Rightarrow y=10 \end{gathered}$

thus, YC = 10.

4 0

10 months ago

A bag contains five red marbles and three green marbles.

Tatiana [17]

1.3/8 because there is a total of 8 marbles but only 3 of them are green.
2. A 52 deck of cards has 4 or each card not including the Jokers so it would be 4/52.
3.30 red 90 total 30/20
4. all you have to do is 4*3=12
5. 4 of each card 2 red 2 black 2 red jacks 52 cards 2/52.
6.&7. coins aren't my cup of tea all i can say is maybe google it :P
8.2 pairs of blue socks 10 total pairs 2/10 or 1/5
sorry about 6 and 7 but i still hope this helped you

7 0

3 years ago