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ololo11 [35]
2 years ago
14

Find the value of the variable in the parallelogram.

Mathematics
1 answer:
patriot [66]2 years ago
7 0
I kind a get the answer for this one but I’m not sure if that’s the correct one but I think your answer will be -6
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Jose earns $9 commission for every phone and $4 commission for every accessory he sells. On a given day Jose makes $253 in commi
andrezito [222]

Answer:

9p + 34a = 253 and p + 8= a are the two required equations which will give us the number of phones and accessories sold by Jose

Step-by-step explanation:

Let us denote the number of phones as ‘p’ and number of accessories as ‘a’ So, we can write the following equations from the given data:

Given that levi made $ 253 commission

<u>9p + 4a = 253 (1) </u>

And,  Jose sold  sold 8 more accessories than phones. So we can frame a equation as follows:

<u>p + 8 = a (2)</u>

These two equations can be used and solved to determine the number of phones and accessories sold.

7 0
3 years ago
What is the inequality for x and why ?
sveticcg [70]

-3x - 42 > 3 |+42

-3x > 45 |change the signs

3x < -45 |:3

x < -15 → x ∈ (-∞, -15)

3 0
3 years ago
a rectangle measures 3 yards by 4 feet. what is the perimeter of the rectangle in inches show your work
Usimov [2.4K]
3 yards=9 feet
Perimeter= length * width
4 feet*9 feet= 36 feet
8 0
3 years ago
Read 2 more answers
All together Maria and Nick had $12. After Maria spent 30% of her money and Nick spent 50 % of his money, Maria and Nick were le
Tju [1.3M]

Answer:

$4.5

Step-by-step explanation:

Let the amount of money

Maria had = x

Nick had = y

All together Maria and Nick had $12.

= x + y = 12

x = 12 - y

After Maria spent 30% of her money and Nick spent 50 % of his money, Maria and Nick were left with the same amount.

30% of x = 50% of y

30/100 × x = 50/100 × y

0.3x = 0.5y

We substitute 12 - y for x above

0.3(12 - y) = 0.5y

3.6 - 0.3y = 0.5y

3.6 = 0.5y + 0.3y

3.6 = 0.8y

y = 3.6/0.8

y = $4.5

Therefore, in the beginning, Nick originally had $4.5

8 0
3 years ago
) Is it reasonable to compute a 95% confidence interval for π using the normal approximation in this case? If it is possible, ex
IRINA_888 [86]

Full Question:.

Most penguin species are not sexually dimorphic, which means they lack obvious outward body characteristics which indicate sex. Observation of behavior or a blood test can determine Penguin sex. A penguin researcher is interested in estimating the proportion of females in a large penguin population. She takes a random sample of n = 20 penguins and determines the sex of each one using a blood test. She finds 12 males and 8 females. Let π be the proportion of females in the population.

(a) Find a point estimate of π.

(b) Find the estimated standard deviation of your estimate.

(c) Is it reasonable to compute a 95% confidence interval for π using the normal approximation in this case? If it is possible, explain why, and make the interval. If it is not reasonable, explain why.

Answer:

a. The female penguins are 0.4 in proportion to the male.

b. Standard Error = 0.110

c. Yes, it is.

See Explanation

Step-by-step explanation:

Given

n = 20 penguins

m = Male = 12

f = Female = 8

π = the proportion of females in the population...

a. Calculating a point estimate of π.

This is calculated by dividing number of females by total penguins

π = f/n

π = 8/20

π = 0.4

So, the female penguins are 0.4 in proportion to the male.

b. Calculating Standard Error

Standard Error is calculated by √(pq/n)

Where p = 0.4 --- calculated above

q = 1 - p = 1 - 0.4

q = 0.6

n = 20

Standard Error = √(0.4*0.6/20).

Standard Error = 0.109544511501033

Standard Error = 0.110 -; Approximated

c. Checking Possibilities

Expected Value of Male = 20(0.6) = 12

Expected Value of Female = 20(0.4) = 8

20(0.4) and 20(0.6) are both greater than 5, so we can approximate the distribution as normal. The C sill be (0.18, 0.62).

7 0
3 years ago
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