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raketka [301]
3 years ago
13

How many solutions exist for the given equation?

Mathematics
1 answer:
Alinara [238K]3 years ago
3 0

Answer: X = 2

Step-by-step explanation:

Step 1: Simplify both sides of the equation!

Step 2: Subtract 4x from both sides.

Step 3: Subtract 6 from both sides.

Step 4: Multiply both sides by 2/(-7).

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The digits 1, 2, 3, and 4 are used to make a 3-digit number. Each digit can be repeated. What is the total number of 3-digit num
KiRa [710]
I think the answer is 10
5 0
3 years ago
Evaluate the expression when x=3 and y= -2
Paul [167]

Answer:

-11

Step-by-step explanation:

To evaluate an expression with variables, replace the variables with what the question tells you to.

Replace "x" with 3. Replace "y" with -2.

-x + 4y

= -(3) + 4(-2)       Multiply 4 and -2 first to get -8

= (-3) + (-8)         Add normally. -3 + (-8) is the same as (-3) - 8.

= -11             Answer

Therefore the solution is -11.

5 0
3 years ago
What is the slope of a line passing through (7, 6) and (9, 0)?
r-ruslan [8.4K]
Slope is equal to rise over run. For this question we use 0-6=-6 as the numerator and 9-7=2 as the denominator, thus the slope is -6/2=-3
5 0
3 years ago
The diameters of cherry tomatoes produced by a large farm have an approximately Normal distribution, with a
Citrus2011 [14]

Answer: D. 0.9967

Step-by-step explanation: To solve this, you need to do the z-score formula with both numbers. So 30-22/2.5 = 3.2. On the z-score chart, that equals .9993. Hold onto that number. Then you do the same with 15. 15-22/2.5 = -2.8. On the z score chart, that equals .0026. Subtract those numbers. .9993 - .0026 = .9967. It's not as compacted as it looks <3

7 0
3 years ago
If we wanted to create a new 90% confidence interval from a different sample for the proportion of those with a two on one date
slava [35]

Answer: 271

Step-by-step explanation:

The formula we use to find the sample size is given by :-

n=p(1-p)(\dfrac{z_{\alpha/2}}{E})^2

, where z_{\alpha/2} is the two-tailed z-value for significance level of (\alpha)

p = prior estimation of the proportion

E = Margin of error.

If prior estimation of the proportion is unknown, then we take p= 0.5 , the formula becomes

n=0.5(1-0.5)(\dfrac{z_{\alpha/2}}{E})^2

n=0.25(\dfrac{z_{\alpha/2}}{E})^2

Given :   Margin of error : E= 0.05

Confidence level = 90%

Significance level \alpha=1-0.90=0.10

Using z-value table , Two-tailed z-value for significance level of 0.10

z_{\alpha/2}=1.645

Then, the required sample size would be :

n=0.25(\dfrac{1.645}{0.05})^2

Simplify,

n=270.6025\approx271

Hence, the required minimum sample size =271

3 0
3 years ago
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