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3 years ago

(fx+cd)/(x-f)=1/2 solve for x

Mathematics

1 answer:

sesenic [268]3 years ago

6 0

Answer:

Step-by-step explanation:

(fx+cd)/(x-f)=1/2

Cross multiplication,

2*(fx + cd) = 1 * (x-f)

2fx + 2cd = x - f

2fx - x = -2cd - f

x (2f - 1) = -2cd -f

x = (-2cd-f )/ (2f-1)

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Find the least common multiple (LCM) of 54 and 72. A) 9 B) 27 C) 108 D) 216

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The lowest common multiple is 216 (D)

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What is the base 10 number of 60 +3?

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3 years ago

It is advertised that the average braking distance for a small car traveling at 65 miles per hour equals 122 feet. A transportat

madreJ [45]

Complete Question

The complete question is shown on the first uploaded image

Answer:

the null hypothesis is $H_o : \mu = 122$

the alternative hypothesis is $H_a : \mu \ne 122$

The test statistics is $t = - 1.761$

The p-value is $p = P(Z < t ) = 0.039119$

$p \ge 0.01$

Step-by-step explanation:

From the question we are told that

The population mean is $\mu = 122$

The sample size is n= 38

The sample mean is $\= x = 116 \ feet$

The standard deviation is $\sigma = 21$

Generally the null hypothesis is $H_o : \mu = 122$

the alternative hypothesis is $H_a : \mu \ne 122$

Generally the test statistics is mathematically evaluated as

$t = \frac { \= x - \mu }{\frac{ \sigma }{ \sqrt{n} } }$

substituting values

$t = \frac { 116 - 122 }{\frac{ 21 }{ \sqrt{ 38} } }$

$t = - 1.761$

The p-value is mathematically represented as

$p = P(Z < t )$

From the z- table

$p = P(Z < t ) = 0.039119$

$p \ge 0.01$

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3 years ago

Sam invests $9,400 in a fund yielding 5.2% simple interest annually. At the same time, Pat shops around for a better interest ra

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Pat's fund earned is $526.40 more than Sam's fund.

Sam's investment :
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Pat's investment :
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$3,948.00-$3,421.60=$562.40

The answer to your question is going to be D. $526.40.

Hope this helps you!!:))

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3 years ago

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Please help with these math questions part one

katrin [286]

V of cone=(1/3)(pi)(h)(r^2)
V of cylinder=(pi)(h)(r^2)

1.
r=6
h=10
v=(1/3)(pi)(10)(6^2)
v=1/3pi10(36)
v=1/3pi360
v=120pi
answer is B

2.
r=d/2
d=10
10/2=5=r
V=(3.14)(5)(5^2)
V=3.14(125)
V=392.5
answer is B

3. 9.2, 3.7
V=(pi)(9.2)(3.7^2)
V=(pi)(9.2)(13.69)
V=(pi)(125.948)
input 125.948

4. v=(1/3)(pi)(12)(3^2)
V=(1/3)(pi)(12)(9)
V=(pi)(12)(3)
V=pi(36
v=36pi
v=36(3.14)
V=113.04

input 113.04

ANSERS
1.B
2.B
3. 129.948
4. 113.04

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3 years ago