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2 years ago

If a=b+7 and b+7=9, then a=9

Mathematics

1 answer:

horsena [70]2 years ago

8 0

Answer:

a = 9

b = 2

Step-by-step explanation:

Given : a = 9

a = b + 7

9 = b + 7

b = 9 - 7 = 2

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Anna sells candy apples at her yard sale. She wants to earn more than $40. She sells the apples for $2 each and has earned $26.

densk [106]

Answer:

Step-by-step explanation:

Because if 1 apple=2$ then she need to sell 20 apples she now has 26$ meaning she has sold 13 of them so 26$

She needs 14 more$ remember the rule 1 apple=2$ so if she needs 14 more $ then that means 7 more apples=14$ And there's your answer 7 more apples.

Hope this helps have a great afternoon:)

7 0

2 years ago

Diana is painting statues. She has 7/8 fraction of a gallon of paint remaining. Each statue requires 1/6 of a gallon of paint. h

fomenos

She can paint almost 7 statues - 6.86 statues.

7/8 ÷ 1/6

21/24 ÷ 4/24

21/24 * 24/4 = 576/84

576 / 84 is approximately 6.86.

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3 years ago

Tourism is extremely important to the economy of Florida. Hotel occupancy is an often-reported measure of visitor volume and vis

docker41 [41]

Answer:

Explained below.

Step-by-step explanation:

In this case we need to determine if there has been an increase in the proportion of rooms occupied over the one-year period.

(a)

The hypothesis can be defined as follows:

H₀: The proportion of rooms occupied over the one-year period has not increased, i.e. p₁ - p₂ ≤ 0.

Hₐ: The proportion of rooms occupied over the one-year period has increased, i.e. p₁ - p₂ > 0.

(b)

The information provided is:

n₁ = 1750

n₂ = 1800

X₁ = 1470

X₂ = 1458

Compute the sample proportions and total proportions as follows:

$\hat p_{1}=\frac{X_{1}}{n_{1}}=\frac{1470}{1750}=0.84\\\\\hat p_{2}=\frac{X_{2}}{n_{2}}=\frac{1458}{1800}=0.81\\\\\hat p=\frac{X_{1}+X_{2}}{n_{1}+n_{2}}=\frac{1470+1458}{1750+1800}=0.825$

(c)

Compute the test statistic value as follows:

$Z=\frac{\hat p_{1}-\hat p_{2}}{\sqrt{\hat p(1-\hat p)\times [\frac{1}{n_{1}}+\frac{1}{n_{2}}]}}$

$=\frac{0.84-0.81}{\sqrt{0.825(1-0.825)\times [\frac{1}{1750}+\frac{1}{1800}]}}\\\\=2.352$

The test statistic value is 2.352.

(d)

The decision rule is:

The null hypothesis will be rejected if the p-value of the test is less than the significance level.

Compute the p-value as follows:

$p-value=P(Z>2.352)=1-P(Z$

The p-value of the test is very small. The null hypothesis will be rejected at any significance level.

Thus, there enough evidence suggesting that there has been an increase in the proportion of rooms occupied over the one-year period.

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2 years ago

ILL GIVE BRAINLY THING

Leno4ka [110]

9514 1404 393

Answer:

d. The data is continuous because it is connected, without gaps.

Step-by-step explanation:

If you can draw the graph without lifting your pencil, then the data is continuous. That is the case here. The best description is the last one:

The data is continuous because it is connected, without gaps.

3 0

2 years ago

Find the equation of a line that passes through left parenthesis 1 comma 6 right parenthesis(1,6) and is parallel to the graph o

max2010maxim [7]

Answer:

The equation for the new line in slope-intercept form is:

$y=4x+2$

Step-by-step explanation:

Since they give us an equation in slope-intercept form "y=4x+5", it is easy to extract the slope the new parallel line to this should have : "4" (same slope as the reference line)

We are also given a point the new line should go through : "(1, 6)"

So we can use the "point-slope" form of a line to find the equation of this new line:

$y-y_0=m(x=x_0)\\y=m(x-x_0)+y_0$

which for our case is:

$y=m(x-x_0)+y_0\\y=4\,(x-1)+6\\y=4x-4+6\\y=4x+2$

6 0

3 years ago