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vlada-n [284]
3 years ago
14

0 100% Which expression is equivalent to (-11x2 +1.4x-3) + (4x2-2.7x+8)

Mathematics
1 answer:
ratelena [41]3 years ago
3 0
Answer: -(9) - 1.3x

i) Simplify.
(-25 + 1.4x) + (16 - 2.7x)

ii) Combine like-terms.
-(9) - 1.3x
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In each figure below, find m∠1 and m∠2 if a║b. Show your work with statements.
velikii [3]

Answer:

<1=105 and <2=75.

Step-by-step explanation:

<1+<2=180, and 75+<1=180, so 180-75=105=<1. 105+<2=180, so 180-105=75=<2.

7 0
3 years ago
The mean annual incomes of certified welders are normally distributed with the mean of $50,000 and a population standard deviati
garik1379 [7]

Answer:

Their welders earn $50,000 annually.

Step-by-step explanation:

Given : \mu = 50,000

           \sigma = 2000

           n = 100

          \bar{x}=50350

To Find : The ship building association wishes to find out whether their welders earn more or less than $50,000 annually.

Solution :

H_0:\mu = 50000\\H_a: \mu \neq 50000

n = 100

Since n > 30

So we will use z test

z= \frac{x-\mu}{\frac{\sigma}{\sqrt{n}}}

Substitute the values

z= \frac{50350-50000}{\frac{2000}{\sqrt{100}}}

z=1.75

Refer the z table for p value

p value = 0.9599

α= 0.05

Since p value > α

So we accept the null hypothesis .

Hence  their welders earn $50,000 annually.

4 0
3 years ago
Katie completes 2/3 of a craft project in 3/4 of an hour. At this rate, what fraction of the craft project does Katie complete i
jonny [76]

Divide the quantity done by the time:

2/3 / 3/4

When dividing by a fraction flip it over and change divide to multiply:

2/3 x 4/3 = (2 x4) / (3x 3) = 8/9

In 1 hour she will complete 8/9 of the project.

3 0
4 years ago
Read 2 more answers
Is 3 2/3 greater than the square root of 11
Dennis_Churaev [7]

Answer:

Yes

Step-by-step explanation:

3 2/3 ~ 3.667

sqrt11 ~ 3.31662479

4 0
3 years ago
Read 2 more answers
Arturo invests $2700 in a savings account that pay 9% interest, compounded quarterly. If there are no other transactions, when w
Sedbober [7]
The correct formula for this is as follows:
A=P(1+\frac{r}{n})^{nt}
where n is the number of compounding periods per year, and r is the annual interest rate as a decimal,
Plugging the given values into the formula, we get:
4550=2700(1+\frac{0.09}{4})^{4t}
This equation can be simplified to:
1.6852=(1.0225)^{4t}
Taking logs of both sides gives:
log 1.6852=4t\times log 1.0225
which can be rearranged to get:
t=\frac{log 1.6852}{4\times log 1.0225}=5.864
So it will take about 5.864 years for the amount to reach $4550.


5 0
3 years ago
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