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3 years ago

What is the product of the expression?(a-3b) (2a+2b)

Mathematics

1 answer:

Dmitry_Shevchenko [17]3 years ago

8 0

I think is

2a2 + 2ab - 6ab + 6b2

2a2 + 6b2 - 4ab

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pens and pencils are sold in a shop. 12 pencils cost £1.80. the ratio of the cost of a pen to the cost of a pencil is 7: 3. work

luda_lava [24]

Answer:

£2.10

Step-by-step explanation:

1.80 divided by .12 = .15

.15 times 7 = 1.05

1.05 divided by 3 = .35

.35 times 5 = 2.10

8 0

3 years ago

Any help plzzz I’ll appreciate it so much thank u

docker41 [41]

9514 1404 393

Answer:

5√5

Step-by-step explanation:

Use the distance formula:

d = √((x2 -x1)² +(y2 -y1)²)

d = √((-7-(-2))² +(-7-3)²) = √((-5)² +(-10)²) = √(25 +100)

d = √125 = √(25·5)

d = 5√5 . . . . distance between the points

3 0

2 years ago

Here are the ingredients for making pineapple sorbet for 6 people.

kvasek [131]

Answer: 1200 g pinapple

Step-by-step explanation:

800/2=400*3=1200

hope this helps

7 0

3 years ago

Read 2 more answers

Find the slope point-slope equation of a line that gas a slope of -2 and passes through the point

Vsevolod [243]

There are no given coordinates, so it's impossible to answer your question. I'm sorry.

6 0

3 years ago

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