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3 years ago

15

Trey's car has a 40 gallon tank. The fuel gauge points to . If Trey buys 30 gallons of gas, what will be the new reading on the

gas gauge?

2 answers:

never [62]3 years ago

7 0

Im pretty sure is 4 over 4

12345 [234]3 years ago

4 0

I believe it would be 4/4
Which would be full

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An offshore lighthouse is 2 kilometers from a Coast Guard station C and 2.5 kilometers from a hospital H near the shoreline. If

dangina [55]

Answer:

4.3 km

Step-by-step explanation:

The law of cosines can be used to find the desired distance. If we call the lighthouse position point L, then we have ...

CH² = LC² +LH² -2·LC·LH·cos(L)

CH² = 2² +2.5² -2·2·2.5·cos(143°) = 10.25 -10cos(143°) ≈ 18.2364

CH ≈ √18.2364 ≈ 4.27 . . . . km

The distance CH is about 4.3 km.

5 0

3 years ago

Let $r$ and $s$ be the roots of $3x^2 + 4x - 12 = 0.$ Find $r^2 + s^2.$

Paul [167]

We can factorize the quadratic as

$3x^2 + 4x - 12 = 3 (x - r) (x - s)$

and expand the right side to get

$3x^2 + 4x - 12 = 3x^2 - 3(r + s) x + 3rs$

$\implies r + s = -\dfrac43 \text{ and } rs = -4$

Then we find

$(r + s)^2 = r^2 + 2rs + s^2 \implies r^2 + s^2 = \left(-\dfrac43\right)^2 - 2(-4) = \boxed{\dfrac{88}9}$

8 0

2 years ago

Mikayla bought 5 skirts at $x each. Three of the 5 skirts came with a matching top for an additional $9 each. Write and simplify

strojnjashka [21]

So Mikayla bought 5 shirts for $x dollars each
this part of the expression we can call 5x
then 3 of the shirts came with an additional $9 each. 9x3=27
so the expression is 5x+27

4 0

3 years ago

A coin is flipped five times find the number of possible sets of heads and tails that have 0 heads

Rama09 [41]

It would have 5 tails because it was flipped 5 times and had 0 heads

8 0

3 years ago

Given n = 2500 and p ^ = 0.86, find the margin of error E that corresponds to a 99% confidence level.

ser-zykov [4K]

Sample size = n = 2500
Sample Proportion = p = 0.86
Confidence Level = 99%
Z-value for the confidence level = z = 2.576 (This Value comes from the z-table)

The formula for Margin of Error is:

$E=z* \sqrt{ \frac{p(1-p)}{n} }$

Using the given values, we get:

$E=2.576* \sqrt{ \frac{0.86(0.14)}{2500} } \\ \\ 
E=0.0179$

Thus, the margin of error would be 0.0179 or 1.79%

7 0

3 years ago