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Lemur
8 days ago
6

The sum of 48 and itself its half and half of the hal is added to 18​

Mathematics
1 answer:
babunello [3.6K]8 days ago
8 0

Answer:

150

Step-by-step explanation:

We perform addition.

a) The total of 48 added to itself

= 48 + 48 = 96

b) Its half plus half of the half

= 96 + (1/2 × 48) + (1/2 × (1/2 × 48)

= 96 + 24 + (1/2 × 24)

= 96 + 24 + 12

= 132

c) plus 18

= 132 + 18

= 150

Thus, adding 48 to itself, its half, and half of that to 18 results in 150.

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Tire pressure monitoring systems (TPMS) warn the driver when the tire pressure of the vehicle is 28% below the target pressure.
Zina [3917]

Answer:

Step-by-step explanation:

Hello!

The monitoring system alerts the driver when the vehicle's tire pressure drops to 28% below the set target pressure.

Let X be: the target tire pressure for a particular vehicle (measured in pounds per square inch)

a)

X= 28 psi

When the monitoring device alerts at a pressure of 28% below the designated target: X-0.28X

Initially, calculate 28% of 28 psi.

28*0.28= 7.84

Next, subtract this 28% calculation from the target pressure:

28 - 7.84= 20.16

The TPMS will activate its warning at 20.16 psi.

b)

Assuming X~N(μ;σ²)

μ= 28 psi (as the average indicates accurate targeting, this represents the expected tire pressure)

σ= 3 psi

P(X≤20.16)

The standard normal distribution is available in tables. To convert any random variable X with a normal distribution, one subtracts its mean and divides by the standard deviation.

To compute the desired probabilities, the variable value undergoes transformation to fit the standard normal distribution Z, after which standard normal tables are referenced to find probabilities.

Z= (X-μ)/σ= (20.16-28)/3= -2.61

Now locate the probability corresponding to the Z value using the Z-table. Given the negative result, refer to the left entry; in the first column, find the integer and first decimal for -2.6- and in the first row locate the second decimal for -.-1

The probability link for -2.61 is:

P(Z≤-2.61)= 0.005

c)

The task is to determine the likelihood of encountering a tire at random within the recommended inflation range, expressed as:

P(30≤X≤26)= P(X≤30)-P(X≤26)

Determine both Z values:

Z= (30-28)/3= 0.67

Z= (26-28)/3= -0.67

P(Z≤0.67)-P(Z≤-0.67)= 0.749 - 0.251= 0.498

<pThe calculated probability of a tire being inflated within the suggested range is 0.498.

I hope this information is useful!

5 0
10 days ago
A CD has a 5% chance of being a smash hit and profiting $5.2 million, a 50% chance of being a modest success and profiting $0.9
Zina [3917]

P(S) = Probability of Smash = 0.05 (5%)
P(M) = Probability of Modest = 0.5 (50%)
P(F) = Probability of Flop = 0.45 (45%)
Based on this, we utilize the model for discrete random variables, leading to:
E(X) = (0.05 * 5.2) + (0.5 * 0.9) + (0.45 * 0)
= 0.26 + 0.45 + 0
= 0.71 Mill'

5 0
7 days ago
A glass bottle filled with oil weighs 590 grams. After Sophia uses 200 milliliters of oil, the bottle weighs 400 grams. The weig
PIT_PIT [3949]

Answer: The result is M=590-\dfrac{19}{20}V.


Step-by-step explanation: A glass bottle filled with oil has a weight of 590 grams. After Sophia takes away 200 milliliters of oil, the bottle's weight drops to 400 grams.

Consequently, the mass of the oil used by Sophia is calculated as = 590 - 400 = 190 grams.

This means that 190 grams corresponds to 200 milliliters, thus

1~\textup{ ml}=\dfrac{190}{200}~\textup{grams},\\\\\textup{V ml}=\dfrac{19}{20}\textup{V}~\textup{grams}.

The relationship between the mass 'M' of the oil bottle in grams and 'V', the volume of oil used by Sophia can be represented as

\textup{M}=590-\dfrac{19}{20}\textup{V}.


7 0
7 days ago
The Ratio of number x and four added by two
Zina [3917]

Answer:

To express the ratio of a number x with four plus two, you can set up the equation:

= 4x + 2 = 0

= 4x = -2

= x = -2/4 = -1/2

Step-by-step explanation:

I hope this helps!

8 0
9 days ago
An ANOVA procedure is applied to data obtained from 6 samples where each sample contains 20 observations. The degrees of freedom
PIT_PIT [3949]

Answer:

C. 5 degrees of freedom for the numerator and 114 for the denominator

Step-by-step explanation:

Analysis of variance (ANOVA) is utilized to examine the variations among group means within a sample.

The sum of squares represents the cumulative square of variation, which refers to the deviation of each individual value from the grand mean.

Assuming there are 6 groups and each group contains j=1,\dots,20 individuals, the variation can be calculated using the following formulas:

SS_{total}=\sum_{j=1}^p \sum_{i=1}^{n_j} (x_{ij}-\bar x)^2

SS_{between}=SS_{model}=\sum_{j=1}^p n_j (\bar x_{j}-\bar x)^2

SS_{within}=SS_{error}=\sum_{j=1}^p \sum_{i=1}^{n_j} (x_{ij}-\bar x_j)^2

This also has the property

SST=SS_{between}+SS_{within}

The numerator's degrees of freedom in this case is given by df_{num}=df_{within}=k-1=6-1=5 where k = 6 represents the number of groups.

The denominator's degrees of freedom in this scenario is indicated by df_{den}=df_{between}=N-K=6*20-6=114.

The total degrees of freedom would be df=N-1=6*20 -1 =119.

Thus, the appropriate answer would be 5 degrees of freedom for the numerator and 119 degrees of freedom for the denominator.

C. 5 numerator and 114 denominator degrees of freedom

8 0
2 days ago
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