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4 years ago

Add 3 to h, then subtract 9 from the result

Mathematics

1 answer:

Anon25 [30]4 years ago

7 0

Answer:

3h-9

Step-by-step explanation:

you can't fit it into an equation because 1, i dont a image of it and 2, you can't subtract a number from a coefficient/variable

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The sum of two numbers is 51. Four times the smaller number is 24 more than the larger number. What are the numbers?

KiRa [710]

The smaller number is 15 and larger number is 36.

Step-by-step explanation:

Let,

Smaller number = x

Larger number = y

According to given statement;

The sum of two numbers is 51.

x+y = 51 Eqn 1

Four times the smaller number is 24 more than the larger number.

4x = y+24

4x - 24 = y

y = 4x-24 Eqn 2

Putting value of y from Eqn 2 in Eqn 1

$x+(4x-24)=51\\x+4x-24=51\\5x=51+24\\5x=75$

Dividing both sides by 5

$\frac{5x}{5}=\frac{75}{5}\\x=15$

Putting x=15 in Eqn 2

$y=4(15)-24\\y=60-24\\y=36$

The smaller number is 15 and larger number is 36.

Keywords: linear equation, substitution

Learn more about linear equations at:

#LearnwithBrainly

5 0

4 years ago

Read 2 more answers

Tomato as a taste modifier. Miraculin—a protein naturally produced in a rare tropical fruit—can convert a sour taste into a swee

Minchanka [31]

Answer:

a) .033 b) .4678 c) 100

Step-by-step explanation:

Distribution of miraculin produced is normal. To answer question we need to find the z-score of 100g, 110g and 120g miraculin

General formula for z score is given by

z= $\frac{X-M}{s}$ where

X is the miraculin produced (120,110,100)
M is the mean miraculin produced for a partucilar tomato plant, which is 105.3
s is the standard deviation of the sample, which is 8.0

z-score for 120 g miraculin is $\frac{120-105.3}{8}$ =1.8375 then

P(x > 120) = P(z>1.8375) = 0.033

z-score for 110 g miraculin is $\frac{110-105.3}{8}$ = 0.5875

z-score for 100 g miraculin is $\frac{100-105.3}{8}$ = -0,6625

P(100 < x < 110) = P(x>100) - P(x>110) =0.7462 - 0,2784 = 0.4678

if P(x < a) = 0.25 then corresponding z score for a is -0.6745. From the above formula we can calculate a:

$\frac{a-105.3}{8}$ =-0.6625 which gives a= 100

8 0

4 years ago

Round your answer to the nearest hundredth. ? с А 3 70° B

Paladinen [302]

I'd suggest getting a Texas Instruments TI-84 plus calculator or use des mos .com scientific

4 0

3 years ago

Suppose that the distribution is bell-shaped. If approximately 99.7% of the lifetimes lie between 568 hours and 1066 hours, then

irakobra [83]

Answer:

$\sigma =\frac{478}{6}=79.667$

Step-by-step explanation:

The empirical rule, also referred to as "the three-sigma rule or 68-95-99.7 rule, is a statistical rule which states that for a normal distribution, almost all data falls within three standard deviations (denoted by σ) of the mean (denoted by µ)". The empirical rule shows that 68% falls within the first standard deviation (µ ± σ), 95% within the first two standard deviations (µ ± 2σ), and 99.7% within the first three standard deviations (µ ± 3σ).

And on this case since we are within 3 deviations (because we have 99.7% of the data between 568 and 1066hours), the result obtained using the z score agrees with the empirical rule.

So on this case we can find the standard deviation on this ways:

$\mu -3\sigma = 568$ (1)