-0.6 into a fraction

The first and fifth terms of a geometric progression (G.P) are 2.5 and 40 respectively. If the common ratio is positive, find th

Nadusha1986 [10]

Answer:

637.5

Step-by-step explanation:

$a_{1}=2.5=a\\a_{5}=40=ar^4\\r=2 \ \& \ a=2.5\\\text{Sum}=\frac{a(r^n-1)}{r-1}=\frac{2.5*(2^8-1)}{1}=637.5$

Love from Gauthmath.

5 0

3 years ago

HELP I'm very bad at story questions lolol

Mila [183]

1ST Piece =======> 2x ======> 2 * 3 ft. ======> 6 ft.

2ND =========> 5x =======> 5 * 3 ft. ======> 15 ft.

3RD ==========> 4 Feet =======> 4 ft.

Sum ======> 25 Feet

Equation:

(2x + 5x) + (4) = 25

Let's solve your equation step-by-step.

2x + 5x + 4 = 25

Step 1: Simplify both sides of the equation.

2x + 5x + 4 = 25

(2x + 5x) + (4) = 25 (Combine Like Terms)

7x + 4 = 25

Step 2: Subtract 4 from both sides.

7x + 4 − 4 = 25 − 4

7x = 21

Step 3: Divide both sides by 7.

7x / 7 = 21 / 7

Answer ========> x = 3

Check:

(2x + 5x) + (4) = 25

2(3) = 6

5(3) = 15

3rd Piece = 4

Sum = 25

6ft. + 15ft. + 4ft = 25

25 = 25

Hope that helps!!!!!!!!!!!!! : )

6 0

4 years ago

A manufacturer of banana chips would like to know whether its bag filling machine works correctly at the 402 gram setting. It is

lidiya [134]

Answer:

The value of t test statistics is -2.25.

Step-by-step explanation:

We are given that a manufacturer of banana chips would like to know whether its bag filling machine works correctly at the 402 gram setting. It is believed that the machine is under filling the bags.

A 25 bag sample had a mean of 393 grams with a standard deviation of 20.

Let $\mu$ = mean filling of bags by the machine.

So, Null Hypothesis, $H_0$ : $\mu \geq$ 402 gram {means that the the machine is not under filling the bags}

Alternate Hypothesis, $H_A$ : $\mu$ < 402 gram {means that the the machine is under filling the bags}

The test statistics that would be used here One-sample t test statistics as we don't know about the population standard deviation;

T.S. = $\frac{\bar X-\mu}{\frac{s}{\sqrt{n} } }$ ~ $t_n_-_1$

where, $\bar X$ = sample mean bag filling = 393 grams

s = sample standard deviation = 20 grams

n = sample of bags = 25

So, test statistics = $\frac{393-402}{\frac{20}{\sqrt{25} } }$ ~ $t_2_4$

= -2.25

The value of t test statistics is -2.25.

5 0

3 years ago

I think of a number multiply it by 3 and add 7. I get the same answer if 1 multiply the number by 4 and subtract 12. find the nu

JulsSmile [24]

Answer:

19 most probably if yes mark me brainliest pls

4 0

3 years ago

Anyone can Answer 20x + 40 = 80 clear x please

Ghella [55]

Answer:

X=2

Step-by-step explanation:

20x+40=80

20x+40-(80)=0

20x-40=0 20x=40

x=40/20

X=2

3 0

3 years ago

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