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3 years ago

Which equation represents the line that has a slope of 1/2 and contains the point (0, 3)?

Mathematics

2 answers:

hram777 [196]3 years ago

6 0

Answer:

y = x/2 +3

Step-by-step explanation:

The equation of a straight line is

y = mx +c , where m is the gradient, and c is the y intercept.

We are told the gradient is 1/2, and the y-intercept is the y-value when x =0, so i.e. the y-intercept is 3.

So y = x/2 +3

RideAnS [48]3 years ago

4 0

Y - 3 = 1/2 (x) ......

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The population of weights of a particular fruit is normally distributed, with a mean of 464 grams and a standard deviation of 6

igomit [66]

Answer:

If 27 fruits are picked at random, then 2% of the time, their mean weight will be greater than 466.37 grams

Step-by-step explanation:

Mean = $\mu = 464$

Standard deviation = $\sigma = 6$

We are supposed to find If 27 fruits are picked at random, then 2% of the time, their mean weight will be greater than how many grams i.e.P(X>x)=0.02

The mean weight is in the highest 2%, you want to go to a z-table and find the z-score that where the area to the left of the curve is closest to 0.98.

n = 27

Refer the z -table

P(Z>x)=2.06

$\frac{x-\mu}{\frac{\sigma}{\sqrt{n}}}=2.06\\\frac{x-464}{\frac{6}{\sqrt{27}}}=2.06\\x-464=2.06 \times \frac{6}{\sqrt{27}}\\x=(2.06 \times \frac{6}{\sqrt{27}})+464\\x=466.37$

So, If 27 fruits are picked at random, then 2% of the time, their mean weight will be greater than 466.37 grams

7 0

3 years ago

A pool company is creating a blueprint for a family pool and a similar dog pool for a new client. Which statement explains how t

Charra [1.4K]

The statement that explains how the company can determine whether pool LMNO is similar to pool PQRS is;

B. Translate PQRS so that point Q of PQRS lies on point M of LMNO, then dilate PQRS by the ratio segment PQ over segment LM.

<h3>How to carry out Transformations?</h3>

Given that quadrilaterals ABCD and EFGH are similar:

The corresponding points on the quadrilaterals are:

P → L

Q → M

R → N

S → O

So, the first step is any of the following:

Translate point P to L

Translate point Q to M

Translate point R to N

Translate point S to O

Notice that the side lengths of PQRS are bigger than that of LMNO

This means that the Quadrilateral PQRS has to be dilated (compressed) by a ratio of side lengths of LMNO divided by side lengths of PQRS

For example, the point M is translated to point Q. The figure will then be dilated by a ratio of LM divided by PQ.

Read more about Transformations at; brainly.com/question/4289712

#SPJ1

3 0

2 years ago

Simplify the expression, write in standard and exponential form.

timama [110]

Answer:

$(5x {y}^{2} ) ^{7} = {5x}^{7 } \times {x}^{7} \times {y}^{14} = {5x}^{14} {y}^{14}$

5 0

3 years ago

Read 2 more answers

What percentage is $12.10 out of $58.60

jasenka [17]

Answer:

12.10 out of 58.60 is 20.648464163822524 or 21%

Step-by-step explanation:

work out the difference (increase) between the two numbers you are comparing

Increase = New Number - Original Number

Divide the increase by the original number and then multiply the answer by 100

% increase = Increase ÷ Original Number × 100.

5 0

3 years ago

What 1 thruogh 100 added up them divided

Marina CMI [18]

We can use the sum of an aritmetic sequence
the sum from n=1 to n=r when the first term is a1 and the nth term is an is
$S=\frac{n(a_1+a_n)}{2}$
first term is 1
last term is 100
there are 100 terms so n=100

so the sum is $S=\frac{100(1+100)}{2}$
$S=(50)(101)$
S=5050
now you want us to divide by 10
5050/10=505

fun fact, gauss (famous math guy) did this when he was younger, legend has it that he was assigned this as an in class assigment to kill time but gauss found a neat pattern, he noticed that adding the end terms wer giving the same sum, example, 100+1=101, 2+99=101, etc, so he just needed to find al the pairs and add them all up

answer is 505
the result is 505

5 0

3 years ago