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3 years ago

One-fourth of r subtracted from ten is greater than five

Mathematics

2 answers:

rosijanka [135]3 years ago

8 0

Im not 100% about how this question is explained or written but i think its 8

ASHA 777 [7]3 years ago

8 0

I believe the answer is x> 60 if that's the answer u were looking for

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euben's Coffee Shop makes a blend that is a mixture of two types of coffee. Type A coffee costs Reuben $5.70 per pound, and type

Kobotan [32]

Answer:

The quantity of type A coffee is 73 pounds

The quantity of type B coffee is 94 pounds .

Step-by-step explanation:

Given as :

The price of Type A coffee costs = $ 5.70 per pound

The price of Type B coffee costs = $ 4.30 per pound

The total quantity of coffee does Reuben purchases = 167 pounds

The total cost of the coffee for 167 pounds = $ 820.30

Let The quantity for type A coffee = a pounds

And The quantity of type B coffee = b pounds

Now, According to question

a + b = 167 pounds And

$ 5.70 × a + $ 4.30 × b = $ 820.30

Now solving equations

5.70 × ( a + b ) = 5.70 × 167

or, 5.70 a + 5.70 b = 951.9

Now ,

( 5.70 a + 5.70 b ) - ( 5.70 a + 4.30 b ) = 951.9 - 820.30

or, ( 5.70 a - 5.70 a ) + ( 5.70 b - 4.30 b ) = 131.6

Or, 0 + 1.4 b = 131.6

∴ b = $\frac{131.6}{1.4}$

I.e b = 94 pounds

Put the value of b to get a value

So, a = 167 pounds - b

Or, a = 167 - 94

∴ a = 73 pounds

Hence The quantity of type A coffee is 73 pounds

And The quantity of type B coffee is 94 pounds . Answer

4 0

3 years ago

If a polygon is a square, then a polygon is a quadrilateral The truth value: The converse: The truth value: The inverse: The tru

Simora [160]

Answer and Step-by-step explanation:

Given that if a polygon is a square, then a polygon is a quadrilateral, we find the converse, inverse and contrapositive of this implicational statement. The hypothesis is the causative statement and the conclusion is the resultant effect

The converse of this statement is the reverse of its statements hence:

If a polygon is a quadrilateral then a polygon is a square

The inverse of this statement is the negation of the statements hence :

If a polygon is not a square then a polygon is not a quadrilateral

The contrapositive of the statement is the interchange of the hypothesis and conclusion of the inverse statement hence:

If a polygon is not a quadrilateral then a polygon is not a square

5 0

3 years ago

Given the following sequences 1,2,4,8,12 .... Find the sum of the first term

k0ka [10]

Answer:

Step-by-step explanation:

1+2=3

3+4=7

7+8=15

15+12=27

6 0

3 years ago

One of the relatively uncommon instances in which researchers know the population standard deviation is in the case of the Intel

Phoenix [80]

Answer:

90% confidence interval for the mean IQ score in this community is [106.58 , 109.42].

Step-by-step explanation:

We are given that in general, the average IQ score in large, diverse populations is 100 and the standard deviation is 15.

Suppose that your sample of 300 members of your community gives you a mean IQ score of 108.

Firstly, the pivotal quantity for 90% confidence interval for the population mean is given by;

P.Q. = $\frac{\bar X -\mu}{\frac{\sigma}{\sqrt{n} } }$ ~ N(0,1)

where, $\bar X$ = sample mean IQ score = 108

$\sigma$ = population standard deviation = 15

n = sample of members = 300

$\mu$ = population mean IQ score

Here for constructing 90% confidence interval we have used One-sample z test statistics because we know about population standard deviation.

So, 90% confidence interval for the population mean, $\mu$ is ;

P(-1.645 < N(0,1) < 1.645) = 0.90 {As the critical value of z at 5% level

of significance are -1.645 & 1.645}

P(-1.645 < $\frac{\bar X -\mu}{\frac{\sigma}{\sqrt{n} } }$ < 1.645) = 0.90

P( $-1.645 \times {\frac{\sigma}{\sqrt{n} } }$ < ${\bar X -\mu}$ < $1.645 \times {\frac{\sigma}{\sqrt{n} } }$ ) = 0.90

P( $\bar X-1.645 \times {\frac{\sigma}{\sqrt{n} } }$ < $\mu$ < $\bar X+1.645 \times {\frac{\sigma}{\sqrt{n} } }$ ) = 0.90

90% confidence interval for $\mu$ = [ $\bar X-1.645 \times {\frac{\sigma}{\sqrt{n} } }$ , $\bar X+1.645 \times {\frac{\sigma}{\sqrt{n} } }$ ]

= [ $108-1.645 \times {\frac{15}{\sqrt{300} } }$ , $108+1.645 \times {\frac{15}{\sqrt{300} } }$ ]

= [106.58 , 109.42]

Therefore, we can be 90% confident that the mean IQ score in this community lies between 106.58 and 109.42.

8 0

3 years ago

You and 3 friends are going to the fair. You have a coupon that will save your group $20. If the total bill to get into the fair

Anna35 [415]

Answer:

one regular ticket costs $30

Step-by-step explanation:

The total number of people = 4

Without the $20 coupon, the total cost would have been =100+20 = $120

Assume the price of one regular ticket is x;

4x = 120

Divide both sides by 4 to solve for x

x = 120/4

x = 30

Therefore, one regular ticket costs $30

3 0

3 years ago

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