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Savatey [412]
3 years ago
6

3x+4y=25 3x-3y=-3 Following system of equations write answer as an ordered pair

Mathematics
1 answer:
Charra [1.4K]3 years ago
5 0
3x+4y=25\\
3x-3y=-3|\cdot(-1)\\\\
3x+4y=25\\
\underline{-3x+3y=3}\\
7y=28\\
y=4\\\\
3x-3\cdot4=-3\\
3x-12=-3\\
3x=9\\
x=3\\\\
\boxed{(x,y)=(3,4)}

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I need to know what 26.6 divided by 7 is.
AfilCa [17]

Answer:3.8

Step-by-step explanation:

6 0
2 years ago
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Lin is baking cakes. Each cake needs 34 cup of brown sugar, and Lin uses 412 cups of brown sugar for the entire batch of cakes.
Zanzabum

Answer:

12

Step-by-step explanation:

412 ÷ 34 = 12.1176...

Round down to 12 cakes

5 0
2 years ago
A team averaging 110 points is likely to do very well during the regular season. The coach of your team has hypothesized that yo
aev [14]

Answer:

1. M=108

2. μ=110

3. In the explanation.

4. Test statistic t = -1.05

5. P-value = 0.1597

Step-by-step explanation:

The question is incomplete: to solve this problem, we need the sample information: size, mean and standard deviation.

We will assume a sample size of 10 matches, a sample mean of 108 points and a sample standard deviation of 6 points.

1. The mean points is the sample points and has a value of 108 points.

2. The null hypothesis is H0: μ=110, meaning that the mean score is not significantly less from 110 points.

3. This is a hypothesis test for the population mean.

The claim is that the mean score is significantly less than 110.

Then, the null and alternative hypothesis are:

H_0: \mu=110\\\\H_a:\mu< 110

The significance level is 0.05.

The sample has a size n=10.

The sample mean is M=108.

As the standard deviation of the population is not known, we estimate it with the sample standard deviation, that has a value of s=6.

The estimated standard error of the mean is computed using the formula:

s_M=\dfrac{s}{\sqrt{n}}=\dfrac{6}{\sqrt{10}}=1.9

4. Then, we can calculate the t-statistic as:

t=\dfrac{M-\mu}{s/\sqrt{n}}=\dfrac{108-110}{1.9}=\dfrac{-2}{1.9}=-1.05

The degrees of freedom for this sample size are:

df=n-1=10-1=9

5. This test is a left-tailed test, with 9 degrees of freedom and t=-1.05, so the P-value for this test is calculated as (using a t-table):

\text{P-value}=P(t

As the P-value (0.1597) is bigger than the significance level (0.05), the effect is  not significant.

The null hypothesis failed to be rejected.

There is not enough evidence to support the claim that the mean score is significantly less than 110.

7 0
3 years ago
Write equation for the graph
Whitepunk [10]

Answer:

the line goes through 1 from x axis and in the same time the line continue his trip and goes through 4 from y axis

so now we have rule to use to find the equation

y/4+x/1=1

y/4=1-x

y=4-4x

and this is the equation

7 0
2 years ago
Write each set of numbers in set-builder and interval notation<br><br> X&gt;50
KiRa [710]

Answer:

\{x\ E\ Z\ |\ x > 50\} ---- Set Builder

(50, ∞)  ---- Interval Notation

Step-by-step explanation:

Given

x > 50

Required

Write as a

- Set builder

- Interval notation

As Set Builder:

x > 50 means that x is an integer and x is greater than 50.

In set builder notation, integers are represented with z.

So, the above can be represented as:

\{x\ E\ Z\ |\ x > 50\}

This translates to:

x is a member of the set of integers such that x is greater than 50

As Interval Notation:

In interval notation, we make use of brackets to represent the intervals.

In this case > is represented by (a,b)

Where a and b are the intervals of the notation

Since x > 50, then a = 50 and b = ∞ because we only know the starting point and not the end point.

<em>Hence: x > 50 in interval notation is (50, ∞)</em>

7 0
3 years ago
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