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sineoko [7]
3 years ago
14

×/2=y/3; y/4=z/4 và x+2y-z=10

Mathematics
2 answers:
qwelly [4]3 years ago
5 0

Answer:

Step-by-step explanation:

\dfrac{x}{2}=\dfrac{y}{3}\\\\

Cross multiply,

3x = 2y    ------------(I)

\dfrac{y}{4}=\dfrac{z}{4}\\\\4*\dfrac{y}{4}=\dfrac{z}{4}*4\\\\y=z

y = z --------------(II)

Plugin y =z in (I)

3x = 2z

3x/2 = z  ----------------(III)

x + 2y - z = 10

From (I) and (III)

x + 3x - \dfrac{3x}{2}=10\\\\4x - \dfrac{3x}{2}=10\\\\Multiply \ the \ entire \ equation \ by \ 2\\\\2*4x - 2*\dfrac{3x}{2}=10*2\\\\8x - 3x = 20\\\\5x = 20

Divide both sides by 5

x = 20/5

x = 4

Plugin x = 4 in (I)

3*4=2y

12 = 2y

2y = 12

y = 12/2

y  = 6

z = y

z = 6

Nataly [62]3 years ago
4 0

Answer:

try mo kayng magsolve wag puro brainly

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Consider the following hypothesis test: H0: LaTeX: \mu_1-\mu_2=0μ 1 − μ 2 = 0 Ha: LaTeX: \mu_1-\mu_2\ne0μ 1 − μ 2 ≠ 0 The follow
Pavel [41]

Answer:

z=\frac{104-\bar 106}{\sqrt{\frac{8.4^2}{80}+\frac{7.6^2}{70}}}}=-1.53

Step-by-step explanation:

Data given and notation

\bar X_{1}=104 represent the mean for the sample 1

\bar X_{2}=106 represent the mean for the sample 2

\sigma_{1} =8.4 represent the population standard deviation for the sample 1

\sigma_{2}=7.6 represent the population standard deviation for the sample 2

n_{1}=80 sample size for the group 1

n_{2}=70 sample size for the group 2

z would represent the statistic (variable of interest)

Concepts and formulas to use

We need to conduct a hypothesis in order to check if the means for the two groups are the same, the system of hypothesis would be:

H0:\mu_{1}-\mu_{2} =0

H1:\mu_{1} -\mu_{2} \neq 0

If we analyze the size for the samples both are greater than 30 and we know the population deviations so for this case is better apply a z test to compare means, and the statistic is given by:

z=\frac{\bar X_{1}-\bar X_{2}}{\sqrt{\frac{\sigma^2_{1}}{n_{1}}+\frac{\sigma^2_{2}}{n_{2}}}} (1)

z-test: Is used to compare group means. Is one of the most common tests and is used to determine whether the means of two groups are equal to each other.

Calculate the statistic

First we need to calculate the mean and deviation for each sample, after apply the formulas (2) and (3) we got the following results:

And with this we can replace in formula (1) like this:

z=\frac{104-\bar 106}{\sqrt{\frac{8.4^2}{80}+\frac{7.6^2}{70}}}}=-1.53

7 0
3 years ago
30 points need help. WILL MARK BRAINLIEST. Identify the initial amount a and the rate of growth r (as a percent) of the exponent
weqwewe [10]

Answer:

A=6.72

R=2%

g(5)=215.04

Step-by-step explanation:

explanation is the picture.

HOPE THIS HELPED!!! HAVE A GREAT DAY!!!

4 0
3 years ago
If F(x)=-x+2 find f(4)
Digiron [165]

Answer:

-2

Step-by-step explanation:

f(x) = -x + 2

f(4) = -(4) + 2

f(4) = -2

5 0
3 years ago
Solve the following equation for x.<br> 11x– 1 = -89
muminat

Answer:

x = -8

Step-by-step explanation:

11x– 1 = -89

Add 1 to each side

11x– 1+1 = -89+1

11x = -88

Divide each side by 11

11x/11 = -88/11

x = -8

3 0
2 years ago
What is 3.78 to the nearest tenth?
Yuliya22 [10]
3.8, think of it as 78, which you would round to 80
7 0
2 years ago
Read 2 more answers
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