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Alisiya [41]
3 years ago
5

Evaluate each expression if w=3/4, x=8, y=-2, and z=0.4

Mathematics
1 answer:
Mamont248 [21]3 years ago
8 0

Answer:

The answer to your problem is -480

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Determine the balance on a 250 account that earns 3 percent interest over 7 years
12345 [234]
250 in the account

3%x7=21%

0.21 times 250 = 52.5

250 + 52.5 = 302.5
5 0
3 years ago
A university with a high water bill is interested in estimating the mean amount of time that students spend in the shower each d
Bas_tet [7]

Answer: (4.0845,\ 6.5755)

Step-by-step explanation:

As per given , we have

n = 11

\overline{x}=5.33\\\\ s=1.33

Since population standard deviation is missing, so we use t-test.

Critical t-value for 99% confidence :

t_{\alpha/2,\ n-1}=3.106   [using two-tailed t-value table]

Confidence interval :

\overline{x}\pm t_{\alpha/2}\dfrac{s}{\sqrt{n}}\\\\= 5.33\pm (3.1060)\dfrac{1.33}{\sqrt{11}}\\\\\approx5.33\pm1.2455\\\\=(5.33-1.2455,\ 5.33+1.2455)\\\\=(4.0845,\ 6.5755)

Hence,  99% confidence interval for the mean amount of time that students spend in the shower each day.= (4.0845,\ 6.5755)

7 0
3 years ago
What are the vertex, focus, and directrix of the parabola with the equation x2+8x+4y+4=0
Novay_Z [31]
<span>x2 +8x +4y +4 = 0
</span>4y=<span> -x2 -8x -4</span>y = -.25*x^2 -2x -1
a = -.25b = -2c = -1
x position of vertex:
h = -b / 2a
h = 2 / 2*-.25h = 2 / -.5h = -4
y position of vertex:
k = ah^2 + bh + ck = -.25*-4^2 + -2*-4 + -1k = -4 +8 -1k = 3
VERTEX = (-4, 3)**************************************************************************
x value of focus =x value of vertex = -4
y value of focus =(1 (-b^2 -4ac)) / 4a

a = -.25 b = -2 c =-1
y value = (1 (-4 -4*-.25*-1)) / 4*-.25
y value = (1 (-4 -4*-.25*-1)) / -1
y value = (1 -4 +1) / -1y value = (-2 / -1)y value = 2
focus value = (-4, 2)
Answer is the last one.

7 0
3 years ago
Peggy is thinking of a number such that when twice the number is added to three times one more than the number she gets the same
mars1129 [50]

Answer:

-7

Step-by-step explanation:

Lets assume the number Peggy is thinking of be "x".

Now as given, when twice the number is added to three times one more than the number. We can write it as

∴ 2x+3(x+1)--- Equation 1

Again, it is given that Peggy gets the same result as when she multiplies four times one less than the number.

∴ 4(x-1)-- equation 2

Next, we can equate both the equation 1 and 2 as it is given that result is same.

2x+3(x+1)= 4(x-1)

Let´s distribute 3 into (x+1) and 4 into (x-1)

⇒ 2x+3x+3=4x-4

⇒ 5x+3=4x-4

Subtract both side by 4x and 3

∴ x=-7

∴ Peggy was thinking of -7

4 0
3 years ago
A car dealership sold 480 vehicles last year. Of these vehicles, 15% were minivans.
natulia [17]
You can use my photo as reference but its going to be 15/100 of 480

7 0
3 years ago
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