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JulijaS [17]
3 years ago
8

You run 3 1/4 miles as a part of an exercise routine. You run 2/5 of that distance on a hill. You run down a slope for the last

1/2 of the hill. On how many miles of your run do you run down the slope? Write your answer as a fraction or mixed number in simplest form!
Mathematics
1 answer:
irinina [24]3 years ago
4 0

Answer:

Step-by-step explanation:

½ of ⅖ of 3¼ = ⅕ of 3¼

= ⅕ of 13/4

= 13/20

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Area of circle with diameter 14cm is​
Alisiya [41]

Answer:

A≈153.94cm²

Step-by-step explanation:

A=πr2

d=2r

Solving forA

A=1

4πd2=1

4·π·142≈153.93804cm²

4 0
3 years ago
Solve 3[–x + (2 x + 1)] = x – 1.
otez555 [7]
Solution
3(-x+(2x+1))=x-1
3(x+1)=x-1
3x+3=x-1  collect like terms
3x-x=-1-3
2x=-4  divide both side by 2
x=-4/2=-2
3 0
3 years ago
Steps to solve a two step equation
Kobotan [32]
I'm not entirely sure about some of these because there could be multiple answers, i think. i'll just leave the ones i can't help you with blank.

1) Begin to (isolate) the (variable) by eliminating the (constant). To eliminate the constant, you want to make it (cancel?) because ___+___=___)
2) (Balance) your equation by doing the exact same thing in the opisite side of the (equal sign). 
3) Finish (isolating) the (variable) by eliminating the (coefficient). To eliminate the coefficient, you want to make it (cancel?) because ___x___=___,
4) (Balance) your equation by doing the exact same thing on the opposite side of the (equal sign). 
5) Check your answer by (plugging) it in or the _____. 

honestly, i find it really amusing that they found a way to break a TWO-step equation into 5 steps ?? but i hope this helps a little!!
7 0
3 years ago
Find the minimum value of the function f(x) = 0.9x2 + 3.42 – 2.4 to the nearest<br><br> hundredth.
Olenka [21]

This question was not written properly

Complete Question

Find the minimum value of the function f(x) = 0.9x² + 3.42x - 2.4 to the nearest

hundredth.

Answer:

The minimum value for the function:

f(x) = 0.9x² + 3.42x - 2.4 is (-1.9, -5.65)

Step-by-step explanation:

Our quadratic equation =

ax² + bx + c

f(x) = 0.9x² + 3.42x - 2.4

The minimum value of x formula=

x = -b/2a

a = 0.9

b = 3.42

x = -3.42/2 × 0.9

x = -3.42/1.8

x = -1.9

We input the value x in order to get the minimum value of y

f(x) = y

f(x) = 0.9x² + 3.42x - 2.4

f(-1.9) = 0.9(-1.9)² + 3.42(-1.9) - 2.4

= 3.249 - 6.498 - 2.4

=3.249 - 8.898

= -5.649

Approximately to the nearest hundredth = -5.65

Therefore, the minimum value for the function:

f(x) = 0.9x² + 3.42x - 2.4 is (-1.9, -5.65)

8 0
3 years ago
An article described a study of reading speed for undergraduate and graduate students. In a sample of 12 undergraduates, the mea
Elis [28]

Answer: (0.85,\ 3.15)

Step-by-step explanation:

Given : n_x=12\ ;\ \mu_x=4.8\ ;\ \sigma_x=1.9

n_y=24\ ;\ \mu_y=2.8\ ;\ \sigma_y=1.0

Significance level : \alpha: 1-0.95=0.05

Critical value : z_{\alpha/2}=1.96

Now, the confidence interval for difference of two population mean :-

\mu_x-\mu_y\pm z_{\alpha/2}(\sqrt{\dfrac{\sigma_x^2}{n_x}+\dfrac{\sigma_y^2}{n_y}}\\\\=4.8-2.8\pm(1.96)(\sqrt{\dfrac{(1.9)^2}{12}+\dfrac{(1.0)^2}{24}}\\\\\approx2\pm1.15\\\\=(0.85,\ 3.15)

Hence, the 95% confidence interval for the difference \mu_x-\mu_y=(0.85,\ 3.15)

4 0
3 years ago
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