Let
x------> the <span>remaining ice cream

we know that
3/10------> 0.30
so

x=1-0.30-0.40-----> x=1-0.70------> x=0.30 gal------> 3/10 gal

the answer is
3/10 gal</span>

6 0

3 years ago

The equation of a curve is y=f(x). the curve goes through the points (1,3) and (3,7). f'(x) = 4x+p, where p is a number.

Nimfa-mama [501]

$f'(x)=4x+p\\
f(x)=2x^2+px+C\\\\
3=2\cdot1^2+p\cdot1+C\\
7=2\cdot3^2+p\cdot3+C\\\\
3=2+p+C\\
7=18+3p+C\\\\
C=1-p\\
3p=-11-C\\\\
3p=-11-(1-p)\\
3p=-11-1+p\\
2p=-12\\
p=-6\\\\
C=1-(-6)\\
C=7\\\\
y=2x^2-6x+7
$

5 0

3 years ago

Helpppp Pleaseee....

NeX [460]

Answer:

$\frac{4 \sqrt{10} }{5}$

Step-by-step explanation:

$\frac{8}{ \sqrt{10} } \times \frac{ \sqrt{10} }{ \sqrt{10} }$

$\frac{8 \sqrt{10} }{ {\sqrt{10}}^{2} }$

$\frac{8 \sqrt{10} }{10}$

$\frac{4 \sqrt{10} }{5}$

3 0

2 years ago

Read 2 more answers

A machining operation produces bearings with diameters that are normally distributed with mean 3.0005 inches and standard deviat

padilas [110]

Answer:

Step-by-step explanation:

The 68-95-99.7 rule for the Normal distribution is an empirical rule that remind us the percentages of data that falls between the mean ± 1, ± 2 and ± 3 standard deviations.

That is to say, if the mean is m and the standard deviation s, roughly speaking 68% of the data falls between [m-s, m+s], 95% between [m-2s, m+2s] and 99.7% between [m-3s, m+3s].

Since the mean is 3.0005 and the standard deviation is s=0.0010, 2s=0.0020, 95% of the data should fall between [3.0005-0.0020, 3.0005+0.0020] and 5% outside this interval. So <em>around 5% of total production will be scrap</em>.

7 0

3 years ago