Use place value and properties of operations to find the sum.

5.8
+2.3
= _

Type a whole number or a decimal

Answer:

x=1.25 and y=-5.5

Step-by-step explanation:

2x+y=-8, 2x=-y-8 or 4x=-2y-16. Plug this value in the second equation, we have - 2y-16-2y=6, y=-5.5. Plugging this in any equation we have, x=1.25

The value of P(X ≥ 93) when X pertains a normal distribution with mean of 79 and standard deviation of 7 is 0.0228

If we've got a normal distribution, then we can convert it to standard normal distribution and its values will give us the z score.

If we have

[tex]X \sim N(\mu, \sigma)[/tex]

(X is following normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex])

then it can be converted to standard normal distribution as

[tex]Z = \dfrac{X - \mu}{\sigma}, \\\\Z \sim N(0,1)[/tex]

(Know the fact that in continuous distribution, probability of a single point is 0, so we can write

[tex]P(Z \leq z) = P(Z < z) )[/tex]

Also, know that if we look for Z = z in z tables, the p value we get is

[tex]P(Z \leq z) = \rm p \: value[/tex]

For this case, we're specified that:

X pertains a normal distribution with mean of 79 and standard deviation of 7, symbolically, we have:

[tex]X \sim N(\mu = 79, \sigma = 7)[/tex]
The needed probability is P(X ≥ 93)

Converting X to standard normal variate makes us evaluate this probabiilty as:

[tex]Z = \dfrac{X -\mu}{\sigma} \sim N(0,1)\\\\P(X \geq 93) = 1 - P(X < 93)\\\\P(X \geq 93) = 1 - P\left (Z < \dfrac{93-79}{7}\right)\\\\P(X \geq 93) = 1 - P(Z < 2)[/tex]

The p-value for Z = 2 (from the z-tables) is found to be 0.9772

Thus, we get:

[tex]P(X \geq 93) =1 - P(Z < 2) = 1 - P(Z \leq 2) = 1 - 0.9772\\P(X \geq 93) = 0.0228[/tex]

Learn more about standard normal distribution here:

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Answer:

x=21 not sure if this is the answer

Answer:

10

Step-by-step explanation:

Answer:

12 sq cm

Step-by-step explanation:

Area of rectangular pyramid = Area of base which is square + 4 times the area of one triangle.

[tex] = {2}^{2} + 4( \frac{1}{2} \times 2 \times 2) \\ \\ = 4 + 4(2) \\ \\ = 4 + 8 \\ \\ = 12 \: {cm}^{2} [/tex]

Answer:

d. 6(8+5)

Step-by-step explanation:

First you distribute the 6 to the 8 which gets you 48 and then you distribute the 6 to the 5 to get 30

so you would get 48+30

therefore, d is true

Answer: (6) (8) + (3) (10) and (3) (16) + (6) (5) and 6 (8 + 5) all of them is the same answer as 48+30=78

Step-by-step explanation: Hope this help:D

Answer:

The answer is 13

Step-by-step explanation:

24+2=26

26÷2=13

Answer:

The required sample size is 82. This number of people could be sampled in an afternoon, for example, at a commercial center in a city, which means that it is a reasonable sample size for a real world calculation.

Step-by-step explanation:

We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1 - 0.99}{2} = 0.005[/tex]

Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].

That is z with a pvalue of [tex]1 - 0.005 = 0.995[/tex], so Z = 2.575.

Now, find the margin of error M as such

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.

Assume that σ=21 and determine the required sample size.

A sample size of n is needed.

n is found when M = 6. So

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

[tex]6 = 2.575\frac{21}{\sqrt{n}}[/tex]

[tex]6\sqrt{n} = 2.575*21[/tex]

Dividing both sides by 3

[tex]\sqrt{n}= 2.575*3.5[/tex]

[tex](\sqrt{n})^2 = (2.575*3.5)^2[/tex]

[tex]n = 81.2[/tex]

Rounding up:

The required sample size is 82. This number of people could be sampled in an afternoon, for example, at a commercial center in a city, which means that it is a reasonable sample size for a real world calculation.

Answer:

smaller, divide, 12, and 39 yards

Step-by-step explanation:

An inch is smaller than a yard, so multiply the number of inches by 3 to find the number of yards.

Unit conversion is the process of converting a measurement from one unit of measurement to another equivalent unit of measurement. For example, converting a measurement from meters to centimeters, or from pounds to kilograms.

An inch is smaller than a yard, so multiply the number of inches by 3 to find the number of yards.

Unit conversion is important in many fields, including science, engineering, construction, and even everyday life. For example, in science and engineering, it is common to work with different units of measurement, and converting between them is essential for accurate calculations and analysis.

Therefore, 468 inches is equal to 13 yards.

To know more about unit conversion follow

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Answer:

4/52

Step-by-step explanation:

Answer:

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⊙♡}°♡■♡°€€£●€●●£7●£7{●£6{●€6¥■

Step-by-step explanation:

86{\86{●

Answer:

22 + 16 = 38

Step-by-step explanation:

I hope you have a good day

Answer:

3.99928901529

Step-by-step explanation:

multiply 12.5 by 4.5 and you get 56.25 and you divide 225 by 56.25 and you get 3.99928901529

Answer: this game is honestly good for the kids u teaching them how to count by roulling the dice

Step-by-step explanation:

Answer:

0.2061 = 20.61% probability of having a sample mean of 115.8 or less for a random sample of this size

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

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 p-value, we get the probability that the value of the measure is greater than X.

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 deviation [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.

A worldwide organization of academics claims that the mean IQ score of its members is 118, with a standard deviation of 17.

This means that [tex]\mu = 118, \sigma = 17[/tex]

A randomly selected group of 40 members

This means that [tex]n = 40, s = \frac{17}{\sqrt{40}} = 2.6879[/tex]

What is the probability of having a sample mean of 115.8 or less for a random sample of this size?

This is the pvalue of Z when X = 115.8.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{115.8 - 118}{2.6879}[/tex]

[tex]Z = -0.82[/tex]

[tex]Z = -0.82[/tex] has a pvalue of 0.2061

0.2061 = 20.61% probability of having a sample mean of 115.8 or less for a random sample of this size

Answer:

.......................................... k

Step-by-step explanation:

Answer:

number 3 the answer

Step-by-step explanation:

Answer:

19.64 ft

Step-by-step explanation:

7/25 = 5.5/x

7x = 137.5

x = 19.64

Answer:

y=mx+b

Step-by-step explanation:

Answer:

189 cm^3

Step-by-step explanation:

7 times 9 times 3=189

Answer:

20

Step-by-step explanation:

To find how many she took to work you do (3/5) * 50 which is equal to 30

That means she took 30 to work leaving 20 muffins left at home.

Answer:

C. The mode of the number of miles Ian skated in July is less than the mode of the number of miles Ian skated in August.

Step-by-step explanation:

A. is not correct because the least amount he skated in July was 1 which is not greater than the least amount In August, 5

B. is  not correct because the median number for July was 8 which is not greater than the median of August, 10

C. is correct because 8 is the most common number in July which is less than 10, the most common number in August.

D. is not correct because the range in July is 14 (15-1=14) which is not less than the range in August, 8 (13-5=8)

Answer:

x = 1

Step-by-step explanation:

h(x) = -2x + 5 and h(x) = 3

which means -2x + 5 = 3

solve for x

-2x + 5 = 3

      -5     -5

-2x = -2

-2      -2

x = 1

Answer:

-10

Step-by-step explanation:

corresponding angles.

hope the image attached helps

thank you

Answer:

3000 pounds :)

hope this helped<3

Answer:

area = 41 units²

Step-by-step explanation:

area = (8 x 4) + (3 x 3) = 41 units²

Answer:

53

Step-by-step explanation:

Answer:

5. 4        6. 6

Step-by-step explanation:

Number 5

[tex]10-2\sqrt{9}[/tex]

[tex]2\sqrt{9}=6[/tex]

[tex]=10-6[/tex]

Subtract the numbers: 10 - 6 = 4

[tex]=4[/tex]

Number 6

[tex]70-\left(\sqrt[3]{64}\right)^3[/tex]

[tex]\left(\sqrt[3]{64}\right)^3=64[/tex]

[tex]=70-64[/tex]

Subtract the numbers: 70 - 64 = 6

[tex]=6[/tex]

Answer:

9x+4

Step-by-step explanation:

Answer:

2   1/4 inches

Step-by-step explanation:

1/4 per 1 foot so if there are 9 feet it would be 9/4 then converte that to a proper fraction which is 2  1/4