solve the equation
3b/7 -1 = 5

Answer:

31 children and 290 adults

Step-by-step explanation:

Let a = number of adults and c = number of children.

a + c = 321

2a + 1.75c = 634.25

Multiply both sides of the the first equation by -2 and add it to the second equation.

         -2a -     2c = -642

(+)       2a + 1.75c = 634.25

--------------------------------------

                 -0.25c = -7.75

Divide both sides by -0.25

c = 31

Use the first equation to find a.

a + c = 321

Substitute 31 for c.

a + 31 = 321

Subtract 31 from both sides.

a = 290

Answer: 31 children and 290 adults

Answer:

Answer:

x=−1.27794

Step-by-step explanation:

x(x−5)2=x2−52

x3−10x2+25x=x2−52

Step 1: Subtract x^2-52 from both sides.

x3−10x2+25x−(x2−52)=x2−52−(x2−52)

x3−11x2+25x+52=0

Step 2: Use cubic formula.

x=−1.27794

Hope it helps +_+

Answer:

114 it think but maybe not

Step-by-step explanation:

a

Answer : 169

Step-by-step explanation:

4(x+19) = 752

4x +76 = 752

4x = 752 - 76

x = 676/4

x=169

Hope this helps ;)

Please mark me the BRAINLIEST

It's B because 2 equals 86 dgrees since its vertical angles

Answer:

0.04845

Step-by-step explanation:

Probability that less than 7 but more than 4 bulbs from the sample are defective :

P(4 < X < 7) = P(x = 5) + P(x = 6)

Using the binomial probability formula :

P(x =x) = nCx * p^x * (1 - p)^(n - x)

From the question :

p = 0.2 ; 1 - p = 0.8 ; n = 11

P(x =5) = 11C5 * 0.2^5 * 0.8^6 = 0.03876

P(x = 6) = 11C6 * 0.2^6 * 0.8^5 = 0.00969

P(4 < X < 7) = P(x = 5) + P(x = 6)

P(4 < X < 7) = 0.03876 + 0.00969

P(4 < X < 7) = 0.04845

Answer:

y = x/3 - 5

Step-by-step explanation:

Answer:

y = (1/3)x  - 5 .

Step-by-step explanation:

(-6 , -7) ; (3 ,-4)

Slope = [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\[/tex]

          [tex]=\frac{-4-[-7]}{3-[-6]}\\\\= \frac{-4 + 7}{3+6}\\\\= \frac{3}{9}\\\\=\frac{1}{3}[/tex]

m = 1/3   ; (3,-4)

y - y1 = m(x - x1)

[tex]y - [-4]=\frac{1}{3}(x-3)\\\\y + 4 = \frac{1}{3}x-3*\frac{1}{3}\\\\y + 4 = \frac{1}{3}x-1\\\\y =\frac{1}{3}x-1-4\\\\y = \frac{1}{3}x - 5[/tex]

Answer:

20

Step-by-step explanation:

fw3f2f3sf a

Answer:

5/12 cup of water per plant

Answer: 4x^2

Step-by-step explanation: Multiply that by -1 to get -4x^2 and multiply by 7x to get 28x^3

Answer:

16/64 and 1/4

Step-by-step explanation:

1/4 x 16/16 = 16/64

1 x 16 / 4 x 16 = 16/64

16/64 = 16/64

Answer:

The standard error of the sulfate in a collection of 10 water samples is of 0.506 mg/L.

Step-by-step explanation:

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard error [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Standard deviation of 1.60 mg/L.

This means that [tex]\sigma = 1.6[/tex]

Collection of 10 samples:

This means that [tex]n = 10, s = \frac{1.6}{\sqrt{10}} = 0.506[/tex]

The standard error of the sulfate in a collection of 10 water samples is of 0.506 mg/L.

Answer:

3) Not equivalent

4) Equivalent multiply by 2

5) Equivalent multiply by 2

Answer:

hope this helps :)

Step-by-step explanation:

Answer:

5L

Step-by-step explanation:

[tex]\frac{5000mL}{1}*\frac{1L}{1000mL} = 5L[/tex]

Answer:

5L

Step-by-step explanation:

If you are trying to find out how many liters there are in 5000 milliliters then it is 5

Answer:

71 is 10% of 710

52 is 97% of 5200/97

Step-by-step explanation:

Let’s start with 71 is 10% of what number.

basically, what this is saying, is that 71 = 10% times and unknown valu. We can set this as x.

so, 71=0.1x

divide on both sides,

710=x

now the second one.

repeat the same process.

52=0.97x

divide

5200/97 =x

Answer:

5

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

Answer:

b.12/25

c.4/15

d.8/15

e.6/12

2a.15/24=5/8

b.20/40=1/2

Answer:

No entiendo que es lo que hay qué hacer

Answer:

the P-value = 0.1977

conclusion: Since the p-value is not small;

we reject null hypothesis

hence, the data does not support claim that more than half of the bathroom scales underestimate weight.

Step-by-step explanation:

 Given the data in the question;

let X represent the number of successes ( the weight is underestimated ) in n independent Bernoulli trials, each with the success probability p

X - Bin( n,p).

so

Null hypothesis             H₀ : p ≤ 0.5

Alternative hypothesis Hₐ : p > 0.5

now, compute np₀ and n( 1 - p₀ )

np₀ = (50)(0.5)

np₀ = 25

n( 1-p₀ ) = (50)(1 - 0.5)

n( 1-p₀ ) = 25

we can see that both values are greater than 10.

∴ the sample proportion is approximately normally distributed;

P" - N ( p₀, [tex]\frac{p_{0}(1-p_0)}{n}[/tex] )

sample proportion p" = 28/50 = 0.56

standard deviation will be;

σ[tex]_{p"[/tex] = √( p₀(1-p₀) / n )

σ[tex]_{p"[/tex] = √( 0.5(1-0.5) / 50 )

σ[tex]_{p"[/tex] = √( 0.25 / 50 )

σ[tex]_{p"[/tex] = 0.07071

Next is the Z-score

z = p" - p₀ / σ[tex]_{p"[/tex]

z =  0.56-0.5 / 0.07071

z = 0.06 / 0.07071

z = 0.85

from table,

the probability that a standard normal random variable takes on a value greater than 0.85 is approximately 0.1977

Therefore, the P-value = 0.1977

conclusion: Since the p-value is not small;

we reject null hypothesis

hence, the data does not support claim that more than half of the bathroom scales underestimate weight.

p = 0.197663

Answer:

The p-value for a two-tailed test of hypothesis is 0.0164.

Step-by-step explanation:

The test statistic is 2.4. Find the p-value for a two-tailed test of hypothesis.

This means that we look at the z-table, and we have to find:

[tex]P(|Z| > 2.4)[/tex]

Which is the pvalue of Z = -2.4 multiplied by 2, or 2 multiplied by 1 subtracted by the pvalue of Z = 2.4.

Looking at the z-table, z = 2.4 has a pvalue of 0.9918

1 - 0.9918 = 0.0082

2*0.0082 = 0.0164

The p-value for a two-tailed test of hypothesis is 0.0164.

Answer:

y=5x+5

Step-by-step explanation:

y-y1=m(x-x1)

y-(-5)=5(x-(-2))

y+5=5(x+2)

y=5x+10-5

y=5x+5

Answer:

54= 15 + J

Step-by-step explanation:

j= 39

Answer:he can buy at least 7 pairs of socks

Step-by-step explanation:

Answer:

she starts with $25

every three games she spends $1.50 (.50 per game)

Step-by-step explanation:

i mean i cant really explain it, its kinda self explanatory