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3 years ago

PLEASE HELP ASAP!!!!

Mathematics

1 answer:

Lapatulllka [165]3 years ago

4 0

We can use x to represent the total vacation budget.
x times .19 = 285
(a percentage is really just a decimal)
x = 285/.19
x = 1500

Final Answer: the total vacation budget is $1500

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Is 0.085 greater or lesser than 85 thousandths

xeze [42]

Answer: they are they same

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

The distribution of head circumference for full term newborn female infants is approximately normal with a mean of 33.8 cm and a

enyata [817]

Using the normal distribution, it is found that 95.65% of full term newborn female infants with a head circumference between 31 cm and 36 cm.

<h3>Normal Probability Distribution</h3>

The z-score of a measure X of a normally distributed variable with mean $\mu$ and standard deviation $\sigma$ is given by:

$Z = \frac{X - \mu}{\sigma}$

The z-score measures how many standard deviations the measure is above or below the mean.

Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.

The mean and the standard deviation are given, respectively, by:

$\mu = 33.8, \sigma = 1.2$

The proportion of full term newborn female infants with a head circumference between 31 cm and 36 cm is the <u>p-value of Z when X = 36 subtracted by the p-value of Z when X = 31</u>, hence:

X = 36:

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{36 - 33.8}{1.2}$

Z = 1.83

Z = 1.83 has a p-value of 0.9664.

X = 31:

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{31 - 33.8}{1.2}$

Z = -2.33

Z = -2.33 has a p-value of 0.0099.

0.9664 - 0.0099 = 0.9565.

0.9565 = 95.65% of full term newborn female infants with a head circumference between 31 cm and 36 cm.

More can be learned about the normal distribution at brainly.com/question/24537145

#SPJ1

4 0

2 years ago

The bull’s-eye on a target has diameter 2 in. What is the area of the bull’s-eye to the nearest tenth? Use 3.14 for π

777dan777 [17]

Answer:

20.3cm^2

Step-by-step explanation:

Bullseye has a circular shape. So area of a bulleyse = Pi x (radius) ^2

Díameter is 2 inches = 5. 08cm

But radius = diameter /2

Radius = 5.08cm /2

Radius = 2.54cm

Hence Area of bulleyse = 3.14 x (2.54) ^2

= 3.14 x 6. 451 cm^2

= 20.256 cm^2

=20.3cm^2 (to nearest tenth)

3 0

3 years ago

Nola purchased 2.5 pounds of cheese for $10.50. Her mother purchased 3 pounds of the same cheese for $12.60. The cost of cheese

jeka94

Answer:

cost per pound = $4.20

Step-by-step explanation:

Cheese cost per pound = ?

first for the cost per pound

cost per pound = total cost / pounds bought

cost per pound = $10.50 / 2.5 pounds

cost per pound = $4.20

to check the above answer is correct

cost per pound = total cost / pounds bought

cost per pound = $12.60 / 3 pounds

cost per pound = $4.20

Therefor, the cheese costs $4.20 per pound.

4 0

3 years ago

How do I solve tan(62) = 12/x?

notsponge [240]

Answer:

x = 6/31 = 0.194

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

(62)-(12/x)=0

Step by step solution :

Step 1 :

Simplify ——

Equation at the end of step 1 :

62 - —— = 0

Step 2 :

Rewriting the whole as an Equivalent Fraction :

2.1 Subtracting a fraction from a whole

Rewrite the whole as a fraction using x as the denominator :

62 62 • x

62 = —— = ——————

1 x

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

2.2 Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

62 • x - (12) 62x - 12

————————————— = ————————

x x

Step 3 :

Pulling out like terms :

3.1 Pull out like factors :

62x - 12 = 2 • (31x - 6)

Equation at the end of step 3 :

2 • (31x - 6)

————————————— = 0

Step 4 :

When a fraction equals zero :

4.1 When a fraction equals zero ...

Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.

Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.

Here's how:

2•(31x-6)

————————— • x = 0 • x

Now, on the left hand side, the x cancels out the denominator, while, on the right hand side, zero times anything is still zero.

The equation now takes the shape :

2 • (31x-6) = 0

Equations which are never true :

4.2 Solve : 2 = 0

This equation has no solution.

A a non-zero constant never equals zero.

Solving a Single Variable Equation :

4.3 Solve : 31x-6 = 0

Add 6 to both sides of the equation :

31x = 6

Divide both sides of the equation by 31:

x = 6/31 = 0.194

Answer :

x = 6/31 = 0.194

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3 0

2 years ago