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3 years ago

Why is the answer A? Plz explain.

Mathematics

1 answer:

emmasim [6.3K]3 years ago

4 0

Answer:

Step-by-step explanation:

the answer cannot be 5. Why? Because the minimum will occur when 12 and 5 point in opposite directions like both are on the x axis pointing to 0 from the east and pointing to zero coming from the west.

12 - 5 = 7

You cannot get a result less than that.

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Solve equation. 2x-5y=20

Novay_Z [31]

If you solve for x you get:
x=(5/2)y+10

If you solve for y you get:
y=(2/5)x−4

5 0

4 years ago

Find the ratio 2 1/2 to 6 1/2

ivanzaharov [21]

Answer:

The ratio 2 1/2 to 6 1/2 is

$\frac{5}{13}\\or\\5:13$

Step-by-step explanation:

Ratio:

In mathematics, a ratio is a relationship between two numbers indicating how many times the first number contains the second.

It is also the Fraction

For example, if a bowl of fruit contains eight apples and six kiwis, then the ratio of apples to kiwis is eight to six.

i.e 8:6, which is equivalent to the ratio 4:3.

Now here,

$2\frac{1}{2}=\frac{4+1}{2}\\\\2\frac{1}{2}=\frac{5}{2}\\\\and\\\\6\frac{1}{2}=\frac{12+1}{2}\\\\6\frac{1}{2}=\frac{13}{2}$

Ratio of 2 1/2 to 6 1/2

$\frac{\frac{5}{2}}{\frac{13}{2}} = \frac{5}{13}\ \textrm{The number 2 will be cancelled from Numerator and Denominator} \\\\Hence,\\Final\ Ratio\ is\ 5 :13$

$\frac{5}{13}$

6 0

4 years ago

Automobile mechanics conduct diagnostic tests on 150 new cars of particular make and model to determine the extent to which they

galben [10]

Answer: 0.0944

Step-by-step explanation:

Given : Sample size of cars : n= 150, sample size is greater than 30 , so we use z-test.

Number of cars tested do have faulty catalytic converters =42

Then the proportion of cars have faulty catalytic converters : $\hat{p}=\dfrac{42}{150}=0.28$

Critical value of z for 99% confidence level : $z_{\alpha/2}=2.576$

Formula for Margin of error :

$E=z_{\alpha/2}\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}$

$E=(2.576)\sqrt{\dfrac{0.28(1-0.28)}{150}}\\\\=0.0944377199216\approx0.0944\ \text{Rounded to four decimal places}$

Hence, the required margin of error = $0.0944$

6 0

3 years ago

Brenda's school is selling tickets to a spring musical. On the first day of ticket sales the school sold 3 senior citizen ticket

Feliz [49]

We can form two equations, let the price of a senior ticket be s and the price of a child ticket be c.
We have from day 1:
A: 3s + 9c = 75
And from day 2:
B: 8s + 5c = 67

Now we can rewrite A as:
A: 24s + 72c = 600
And can rewrite B as:
B: 24s + 15c = 201

Now A-B can be written as:
A-B: 57c = 399

So c = 7

Now substituting this back into A we get:
A: 3s + 63 = 75
A: 3s = 12

So s = 4

We have the price of a senior ticket is $4 and the price of a child ticket is $7

3 0

3 years ago

Ivan purchased stock in a company at an initial price of $8 per share. The share value reached $18 after 10 days and then began

Butoxors [25]

The quadratic equation that best represents his model of the relationship between stock value and time is given by:

$y = -0.0976(x - 10)^2 + 18, x \geq 0$