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3 years ago

What is 2 1/4% of 400

Mathematics

2 answers:

navik [9.2K]3 years ago

6 0

900 if I’m correct let me know if it helps!

dem82 [27]3 years ago

4 0

Answer:

900

Step-by-step explanation:

2 ¼% is equal to 225%

Doubled 400 to get 200%
Then divide 400 by 4 to find 25%
After that add these together to get 225%.
225% = 900

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What is the distance between (–9,-6) and (-2,-2)?

Rufina [12.5K]

Answer:

8.0623

Explanation:

Distance between two points = √ ( − 2 − − 9 )^ 2 + ( − 2 − − 6)^ 2

= √ 7 ^2+ 4 ^2

= √ 49 + 16

=√ 65 = 8.0623

Distance between points (-9, -6) and (-2, -2) is 8.0623

3 0

4 years ago

Read 2 more answers

Heidi has 6 pounds of tomatoes from her garden. She used 3/4 of all the tomatoes to make sauce and gave 2/3 of the rest of the t

iren2701 [21]

Answer:

She gives 16 ounces to her neighbor

Step-by-step explanation:

How much did you use to make sauce

6 * 3/4 = 18/4 =9/2 = 4.5 lbs

That leaves 6-4.5 = 1.5 lbs

She give 2/3 of this to her neighbor

1.5 * 2/3

Changing the decimal to a fraction

3/2 * 2/3 = 1

She gives 1 pound to her neighbor, but we want it in ounces

16 ounces equals 1 pound

She gives 16 ounces to her neighbor

6 0

3 years ago

The height h of a projectile is a function of the time t it is in the air. the height in feet for t seconds is given by the func

alexgriva [62]

Domain means the values of independent variable(input) which will give defined output to the function.

Given:

The height h of a projectile is a function of the time t it is in the air. The height in feet for t seconds is given by the function

$h(t)=-16t^2 + 96t$

Solution:

To get defined output, the height h(t) need to be greater than or equal to zero. We need to set up an inequality and solve it to find the domain values.

$To \; find \; domain:\\\\h(t) \geq0\\\\-16t^2+96t \geq 0\\Factoring \; -16t \; in \; the \; left \; side \; of \; the \; inequality\\\\-16t(t-6) \geq 0\\Step \; 1: Find \; Boundary \; Points \; by \; setting \; up \; above \; inequality \; to \; zero.\\\\t(t-6)=0\\Use \; zero \; factor \; property \; to \; solve\\\\t=0 \; (or) \; t = 6\\\\Step \; 2: \; List \; the \; possible \; solution \; interval \; using \; boundary \; points\\(- \infty,0], \; [0, 6], \& [6, \infty)$

$Step \; 3:Pick \; test \; point \; from \; each \; interval \; to \; check \; whether \\\; makes \; the \; inequality \; TRUE \; or \; FALSE\\\\When \; t = -1\\-16(-1)(-1-6) \geq 0\\-112 \geq 0 \; FALSE\\(-\infty, 0] \; is \; not \; solution\\Also \; Logically \; time \; t \; cannot \; be \; negative\\\\When \; t = 1\\-16(1)(1-6) \geq 0\\80 \geq 0 \; TRUE\\ \; [0, 6] \; is \; a \; solution\\\\When \; t = 7\\-16(7)(7-6) \geq 0\\-112 \geq 0 \; FALSE\\ \; [6, -\infty) \; is \; not \; solution$

Conclusion:

The domain of the function is the time in between 0 to 6 seconds

$0 \leq t \leq 6$

The height will be positive in the above interval.

7 0

3 years ago

Read 2 more answers

Assume that the population of human body temperatures has a mean of 98.6 degrees F and a standard deviation of 0.62 degrees F. I

dimulka [17.4K]

Answer:

0% probability of getting a mean temperature of 98.2 degrees F or lower.

Step-by-step explanation:

The Central Limit Theorem estabilishes that, for a random variable X, with mean $\mu$ and standard deviation $\sigma$ , a large sample size can be approximated to a normal distribution with mean $\mu$ and standard deviation $\frac{\sigma}{\sqrt{n}}$ .

Normal probability distribution

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

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

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

$\mu = 98.6, \sigma = 0.62, n = 106, s = \frac{0.62}{\sqrt{106}} = 0.06$