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daser333 [38]
3 years ago
15

On Tuesday, Emma's thermometer showed a temperature of -8 degrees when she woke up. The temperature then rose 1 degree every hou

r. Write an expression that represents the temperature change on Tuesday. Use the variables t for temperature and h for hours.
Mathematics
1 answer:
Vikentia [17]3 years ago
5 0

Answer:

t = 1h - 8

Step-by-step explanation:

The temperature starts at -8 degrees and increases 1 degree every hour, meaning that the expression should be t = 1h - 8.

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Jack has 3/4 cup of Tide left in the bottle. Each load of laundry requires 1/6 cup of Tide. How many loads of laundry can Jack w
Novosadov [1.4K]

Answer:

4 1/2 loads

Step-by-step explanation:

3/4 / 1/6 = 3/4 * 6 =  18/4 = 4 1/2


7 0
3 years ago
In a population of similar households, suppose the weekly supermarket expense for a typical household is normally distributed wi
Rina8888 [55]

Answer:

P(Y ≥ 15) = 0.763

Step-by-step explanation:

Given that:

Mean =135

standard deviation = 12

sample size n  = 50

sample mean \overline x = 140

Suppose X is the random variable that follows a normal distribution which represents the weekly supermarket expenses

Then,

X \sim N ( \mu \sigma)

The probability that X is greater than 140 is :

P(X>140) = 1 - P(X ≤ 140)

P(X>140) = 1 - P( \dfrac{X-\mu}{\sigma} \leq \dfrac{140-135}{12})

P(X>140) = 1 - P( \dfrac{X-\mu}{\sigma} \leq \dfrac{5}{12})

P(X>140) = 1 - P( Z\leq0.42)

From z tables,

P(X>140) = 1 - 0.6628

P(X>140) = 0.3372

Similarly, let consider Y to be the variable that follows a binomial distribution of the no of household whose expense is greater than $140

Then;

Y \sim Binomial (np)

Y \sim Binomial (50,0.3372)

∴

P(Y ≥ 15) = 1- P(Y< 15)

P(Y ≥ 15) = 1 - ( P(Y=0) + P(Y=1) + P(Y=2) + ... + P(Y=14) )

P(Y \geq 15) = 1 - \begin {pmatrix} ^{50}_0 \end {pmatrix} (0.3372)^0 (1-0,3372)^{50} + \begin {pmatrix} ^{50}_1 \end {pmatrix} (0.3372)^1 (1-0,3372)^{49}  + \begin {pmatrix} ^{50}_2 \end {pmatrix} (0.3372)^2 (1-0,3372)^{48} +...  + \begin {pmatrix} ^{50}_{50{ \end {pmatrix} (0.3372)^{50} (1-0,3372)^{0}

P(Y ≥ 15) = 0.763

7 0
3 years ago
The equatorial circumference of Earth is 4.01 x10^4 kilometers. One kilometer is equivalent to 3.94 x10^4 inches. What is the eq
krok68 [10]

The answer is 1,57,940,000

\sf\blue{hope\:it\:helps}

5 0
2 years ago
PLS HELP ME AND SHOW WORK.
Alex17521 [72]

Answer:

4 = (x  + 7 {)}^{2}  + (y  -  3 {)}^{2}

Step-by-step explanation:

equation of a circle

{r}^{2}  = (x -  {h} )^{2}  + (y -  {k)}^{2}

we know the center is (-7, 3)

the radius is 2

we replace (h,k) with the center coordinates

and input the radius

{2}^{2}  = (x -( - 7)) ^{2}  + (y  -  3)^{2}

simplify to this:

4 = (x  + 7 {)}^{2}  + (y  -  3 {)}^{2}

3 0
3 years ago
Who turns out the lights on Halloween
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The owner of the house
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3 years ago
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