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2 years ago

Which equation represents the line that passes through the point (3,4) and is parallel to the x-axis?

1 answer:

3 0

Paralell to x axis means x=something

it is first 2 choices

(x,y)
(3,4)
has to pass through x=3

answer is x=3 (2nd option)

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A set of middle school student heights are normally distributed with a mean of 150 centimeters and a standard deviation of 20 ce

julsineya [31]

Answer:

The proportion of students whose height are lower than Darnell's height is 71.57%

Step-by-step explanation:

The complete question is:

A set of middle school student heights are normally distributed with a mean of 150 centimeters and a standard deviation of 20 centimeters. Darnel is a middle school student with a height of 161.4cm.

What proportion of proportion of students height are lower than Darnell's height.

Answer:

We first calculate the z-score corresponding to Darnell's height using:

$Z=\frac{X-\mu}{\sigma}$

We substitute x=161.4 , $\mu=150$ , and $\sigma=20$ to get:

$Z=\frac{161.4-150}{20} \\Z=0.57$

From the normal distribution table, we read 0.5 under 7.

The corresponding area is 0.7157

Therefore the proportion of students whose height are lower than Darnell's height is 71.57%

8 0

2 years ago

Solve x2 + 14x + 17 = –96 for x

jarptica [38.1K]

For this case we have to:

Given the quadratic equation of the form:

$ax ^ 2 + bx + c = 0$

The roots are given by:

$x = \frac {-b \pm \sqrt {b ^ 2-4 (a) (c)}} {2a}$

If we have: $x ^ 2 + 14x + 17 = -96$

We can rewrite it in the following way:

$x ^ 2 + 14x + 17 + 96 = 0\\x ^ 2 + 14x + 113 = 0$

Where:

$a = 1\\b = 14\\c = 113$

Where we have:

$x = \frac {-14 \pm \sqrt {(14) ^ 2-4 (1) (113)}} {2 (1)}$

$x = \frac {-14 \pm \sqrt {(196-452)}} {2}$

$x = \frac {-14 \pm \sqrt {-256}} {2}$

By definition: $\sqrt {-1} = i$

$x = \frac {-14 \pm \sqrt {256} i} {2}$

$x = \frac {-14 \pm16i} {2}$

$x = \frac {-14} {2} \pm \frac {16i} {2}$

$x = -7 \pm8i$

Thus, the roots are given by imaginary numbers:

$x_ {1} = - 7 + 8i\\x_ {2} = - 7-8i$

Answer:

$x_ {1} = - 7 + 8i\\x_ {2} = - 7-8i$

5 0

2 years ago

Read 2 more answers

100-4 divided 2x(3+7

bezimeni [28]

Answer:

Step-by-step explanation:

7+3=10x2=20

100-4= 96

96 divided by 20= 4.8

8 0

3 years ago

If Tammy takes out a discounted loan for $850 at a simple interest rate of 12%, but only receives $800 into her bank account, wh

Vikki [24]

Answer : The duration of the loan is, 6 months

Step-by-step explanation :

First we have to determine the discounted money.

Discounted money = $850 - $800 = $50

Thus, interest = $50

Now we have to determine the time of loan.

Formula used :

$S.I=\frac{PRT}{100}$

where,

P = principle

R = interest rate

T = time

S.I = simple interest

Now put all the given values in the above formula, we get:

For 1 year : $\$50=\frac{(\$850)\times (12)\times T}{100}$

For 12 months : $\$50\times 12=\frac{(\$850)\times (12)\times T}{100}$

$T=5.88month\approx 6month$

Thus, the duration of the loan is, 6 months

3 0

3 years ago

Drag the labels to the correct location on the table. Each label can be used more than once.

Natasha2012 [34]

Answer:

For me i just guess lol i dont know the correct answer i just telling you the truth

Step-by-step explanation:

5 0

2 years ago